Metrics for Rust f64::asinh

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
100%	100%	0%	0%	0%	0%	0%	1

Compiler

Compiled 4 to 4 computations (0% saved)

sample578.0ms (5.9%)

Memory

-210.2MiB live, 866.2MiB allocated

Samples

414.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 98.0ms

ival-asinh: 89.0ms (91% of total)

ival-true: 6.0ms (6.1% of total)

ival-assert: 3.0ms (3.1% of total)

Bogosity

preprocess16.0ms (0.2%)

Memory

3.8MiB live, 40.2MiB allocated

Algorithm

1×	egg-herbie

Rules

12×	`sub-neg`
8×	`lower-+.f32`
8×	`+-commutative`
4×	`lift-+.f64`
4×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	7
1	10	7
2	14	7
3	17	7
4	21	7
5	28	7
6	35	7
0	9	12
0	16	12
1	20	12
0	20	11

Stop Event

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

Calls

Call 1

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

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

explain304.0ms (3.1%)

Memory

12.1MiB live, 491.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
130	-	-	`(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))`
70	-	-	`(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(fabs.f64 x)`
0	-	-	`(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)`
0	-	-	`(*.f64 x x)`
0	-	-	`(+.f64 (*.f64 x x) #s(literal 1 binary64))`
0	-	-	`(+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`log.f64`	`(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))`	sensitivity	129	0
`sqrt.f64`	`(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))`	oflow-rescue	70	0
↳	`(*.f64 x x)`	overflow	70
↳	`(+.f64 (*.f64 x x) #s(literal 1 binary64))`	overflow	70
`log.f64`	`(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))`	oflow-rescue	1	0
↳	`(+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))`	overflow	1
↳	`(*.f64 x x)`	overflow	70
↳	`(+.f64 (*.f64 x x) #s(literal 1 binary64))`	overflow	70

Confusion

	Predicted +	Predicted -
+	199	0
-	0	57

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	199	0	0
-	0	0	57

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	57
1	198
2	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

133.0ms	136×	1	valid
61.0ms	110×	2	valid
24.0ms	266×	0	valid

Compiler

Compiled 128 to 40 computations (68.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 195.0ms

ival-fabs: 103.0ms (52.8% of total)

ival-log: 47.0ms (24.1% of total)

ival-hypot: 20.0ms (10.3% of total)

adjust: 7.0ms (3.6% of total)

ival-add: 7.0ms (3.6% of total)

ival-copysign: 6.0ms (3.1% of total)

ival-mult: 4.0ms (2.1% of total)

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

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

exact: 0.0ms (0% of total)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	27.4%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)

Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify4.0ms (0%)

Memory

6.2MiB live, 6.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	49
0	16	49
1	20	49
0	20	44

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize161.0ms (1.6%)

Memory

-63.5MiB live, 97.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fabs.f64 x)
✓	accuracy	100.0%	(+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
✓	accuracy	74.6%	(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))
✓	accuracy	53.5%	(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))

Samples

121.0ms	55×	2	valid
15.0ms	68×	1	valid
12.0ms	133×	0	valid

Compiler

Compiled 51 to 11 computations (78.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 137.0ms

ival-log: 113.0ms (82.3% of total)

ival-hypot: 11.0ms (8% of total)

adjust: 3.0ms (2.2% of total)

ival-copysign: 3.0ms (2.2% of total)

ival-add: 3.0ms (2.2% of total)

ival-fabs: 2.0ms (1.5% of total)

ival-mult: 2.0ms (1.5% of total)

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

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

exact: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory

10.0MiB live, 10.0MiB allocated

Counts

6 → 72

Calls

Call 1

Inputs
#<alt (+.f64 (*.f64 x x) #s(literal 1 binary64))>
#<alt (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)>
#<alt (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))>
#<alt (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))>
#<alt (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))>
#<alt (fabs.f64 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 (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (log (+ 1 (fabs x)))>
#<alt (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))>
#<alt (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))>
#<alt (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (* -1 (log (/ 1 x))) (/ (fabs x) x))>
#<alt (+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))>
#<alt (+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))>
#<alt (* -1 (log (/ -1 x)))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))>
#<alt (+ 1 (fabs x))>
#<alt (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))>
#<alt (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))>
#<alt (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))>
#<alt x>
#<alt (* x (+ 1 (/ (fabs x) x)))>
#<alt (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))>
#<alt (* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) 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 (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>

Calls

18 calls:

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

rewrite372.0ms (3.8%)

Memory

7.5MiB live, 513.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 872×	`lower-fma.f64`
5 872×	`lower-fma.f32`
3 070×	`lower-*.f32`
3 068×	`lower-*.f64`
2 316×	`lower-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	44
0	16	44
1	51	44
2	324	44
3	3419	44
0	8352	39

Stop Event

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

Counts

6 → 279

Calls

Call 1

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

simplify591.0ms (6%)

Memory

5.5MiB live, 913.8MiB allocated

Algorithm

1×	egg-herbie

Rules

24 610×	`lower-fma.f64`
24 610×	`lower-fma.f32`
4 994×	`lower-*.f64`
4 994×	`lower-*.f32`
4 040×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	169	782
1	490	754
2	1511	741
3	5413	691
0	8421	635

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 70

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))))
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(log (+ 1 (fabs x)))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))
(* -1 (log (/ -1 x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))
(+ 1 (fabs x))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))
x
(* x (+ 1 (/ (fabs x) x)))
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) 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)))))
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)

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))
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (log1p.f64 (fabs.f64 x)))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(fma.f64 x (.f64 x (fma.f64 #s(literal -1/24 binary64) (.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (log1p.f64 (fabs.f64 x)))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/720 binary64)) #s(literal 45 binary64))) (/.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/720 binary64)) #s(literal 30 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (log1p.f64 (fabs.f64 x)))
(* -1 (log (/ 1 x)))
(log.f64 x)
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x))
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))
(fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x)))
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))
(fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1 binary64)) (+.f64 (log.f64 x) (fma.f64 (.f64 (fabs.f64 x) (fma.f64 #s(literal 2 binary64) (.f64 x x) #s(literal -3 binary64))) (/.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x))) (/.f64 (fabs.f64 x) x))))
(* -1 (log (/ -1 x)))
(neg.f64 (neg.f64 (log.f64 (neg.f64 x))))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(-.f64 (neg.f64 (/.f64 (fabs.f64 x) x)) (neg.f64 (log.f64 (neg.f64 x))))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) x) (fabs.f64 x)) x) (neg.f64 (log.f64 (neg.f64 x))))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))
(-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 x (.f64 x #s(literal -1/2 binary64)) (fma.f64 (.f64 (fabs.f64 x) (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal -3 binary64))) (/.f64 #s(literal -1/6 binary64) x) #s(literal 1/2 binary64))) x) (fabs.f64 x)) x) (neg.f64 (log.f64 (neg.f64 x))))
(+ 1 (fabs x))
(+.f64 #s(literal 1 binary64) (fabs.f64 x))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(+.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))
(+.f64 (fabs.f64 x) (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 (+ (fabs x) (* (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 (*.f64 x x) #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
x
(* x (+ 1 (/ (fabs x) x)))
(+.f64 x (fabs.f64 x))
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))
(+.f64 (fabs.f64 x) (+.f64 x (/.f64 #s(literal 1/2 binary64) x)))
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))
(+.f64 (fma.f64 x (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (*.f64 x x)))) (+.f64 x (/.f64 #s(literal 1/2 binary64) x))) (fabs.f64 x))
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(-.f64 (fabs.f64 x) x)
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))
(+.f64 (-.f64 (fabs.f64 x) x) (/.f64 #s(literal -1/2 binary64) x))
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))
(-.f64 (+.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x 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 (*.f64 x x) #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
x
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 x (/.f64 #s(literal 1/2 binary64) x))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(fma.f64 x (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (*.f64 x x)))) (+.f64 x (/.f64 #s(literal 1/2 binary64) x)))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(+.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 x (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (.f64 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)))))
(fma.f64 x (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x (*.f64 x x)))) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(+.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) x) x) (.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (.f64 x x)))))))
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)

eval56.0ms (0.6%)

Memory: 40.2MiB live, 148.6MiB allocated
Compiler: Compiled 10 251 to 1 598 computations (84.4% saved)

prune64.0ms (0.6%)

Memory

-12.8MiB live, 172.9MiB allocated

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	333	16	349
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	334	16	350

Accuracy

99.7%

Counts

350 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.9%	(copysign.f64 (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (log1p.f64 (fabs.f64 x))) x)
	52.6%	(copysign.f64 (fma.f64 x (.f64 x (fma.f64 #s(literal -1/24 binary64) (.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (log1p.f64 (fabs.f64 x))) x)
	9.3%	(copysign.f64 (-.f64 (neg.f64 (/.f64 (fabs.f64 x) x)) (neg.f64 (log.f64 (neg.f64 x)))) x)
	59.2%	(copysign.f64 (-.f64 (log.f64 (fma.f64 x (.f64 x x) (.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) x)
▶	71.7%	(copysign.f64 (+.f64 (log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (log.f64 (/.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))) x)
▶	27.4%	(copysign.f64 (neg.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64)))) x)
	64.9%	(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
▶	26.2%	(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x)
	25.0%	(copysign.f64 (log.f64 (+.f64 (-.f64 (fabs.f64 x) x) (/.f64 #s(literal -1/2 binary64) x))) x)
▶	27.4%	(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
	27.4%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))))) x)
	27.1%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (+.f64 x (/.f64 #s(literal 1/2 binary64) x)))) x)
	19.5%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x)
	27.5%	(copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x)
	9.4%	(copysign.f64 (log.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)))) x)
▶	9.2%	(copysign.f64 (log.f64 x) x)

Compiler

Compiled 520 to 288 computations (44.6% saved)

simplify126.0ms (1.3%)

Memory

-2.4MiB live, 176.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(copysign.f64 (neg.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64)))) x)
✓	cost-diff	256	(neg.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64))))
✓	cost-diff	576	(log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64)))
✓	cost-diff	704	(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #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))) (fabs.f64 x))
✓	cost-diff	0	(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))
✓	cost-diff	0	(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
✓	cost-diff	0	(fabs.f64 x)
✓	cost-diff	0	(-.f64 (fabs.f64 x) x)
✓	cost-diff	0	(log.f64 (-.f64 (fabs.f64 x) x))
✓	cost-diff	0	(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x)
✓	cost-diff	0	(log.f64 x)
✓	cost-diff	0	(copysign.f64 (log.f64 x) x)
✓	cost-diff	0	(+.f64 (log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (log.f64 (/.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))))))
✓	cost-diff	0	(copysign.f64 (+.f64 (log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (log.f64 (/.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))) x)
✓	cost-diff	64	(fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))
✓	cost-diff	64	(fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))

Rules

1 680×	`lower-fma.f32`
1 674×	`lower-fma.f64`
592×	`lower-*.f32`
590×	`lower-*.f64`
384×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	370
0	56	356
1	80	355
2	113	355
3	162	355
4	271	351
5	415	351
6	736	351
7	1158	351
8	1523	351
9	1740	351
10	1824	351
11	1886	351
12	1917	351
13	1920	351
14	1921	351
15	1921	351
0	1921	346

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(copysign.f64 (+.f64 (log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (log.f64 (/.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))) x)
(+.f64 (log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (log.f64 (/.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))))))
(log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
x
(*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(fabs.f64 x)
(-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x x #s(literal 1 binary64))
#s(literal 1 binary64)
(log.f64 (/.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))))
(+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))
(copysign.f64 (log.f64 x) x)
(log.f64 x)
x
(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x)
(log.f64 (-.f64 (fabs.f64 x) x))
(-.f64 (fabs.f64 x) x)
(fabs.f64 x)
x
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))
(+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(fabs.f64 x)
(copysign.f64 (neg.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64)))) x)
(neg.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64))))
(log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
#s(literal 1 binary64)
(+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(fabs.f64 x)
x
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x x #s(literal 1 binary64))

Outputs
(copysign.f64 (+.f64 (log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (log.f64 (/.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))) x)
(copysign.f64 (+.f64 (log1p.f64 (*.f64 (fabs.f64 x) (+.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (log.f64 (/.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 (fabs.f64 x) (+.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64))))) x)
(+.f64 (log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (log.f64 (/.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))))))
(+.f64 (log1p.f64 (*.f64 (fabs.f64 x) (+.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (log.f64 (/.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 (fabs.f64 x) (+.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64)))))
(log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(log1p.f64 (*.f64 (fabs.f64 x) (+.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(*.f64 (fabs.f64 x) (+.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
x
(*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(fabs.f64 x)
(-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x x #s(literal 1 binary64))
#s(literal 1 binary64)
(log.f64 (/.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))
(log.f64 (/.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 (fabs.f64 x) (+.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64))))
(/.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 (fabs.f64 x) (+.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64)))
(+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 (fabs.f64 x) (+.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64))
(copysign.f64 (log.f64 x) x)
(log.f64 x)
x
(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x)
(log.f64 (-.f64 (fabs.f64 x) x))
(-.f64 (fabs.f64 x) x)
(fabs.f64 x)
x
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))
(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))
(+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(fabs.f64 x)
(copysign.f64 (neg.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64)))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(neg.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64))))
(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64)))
(neg.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
#s(literal 1 binary64)
(+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(fabs.f64 x)
x
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x x #s(literal 1 binary64))

localize184.0ms (1.9%)

Memory

-7.4MiB live, 271.3MiB allocated

Localize:

Found 18 expressions of interest:

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

Samples

71.0ms

256×

invalid

Compiler

Compiled 423 to 31 computations (92.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 52.0ms

ival-log: 17.0ms (32.4% of total)

ival-copysign: 9.0ms (17.2% of total)

ival-add: 6.0ms (11.4% of total)

ival-div: 5.0ms (9.5% of total)

ival-hypot: 4.0ms (7.6% of total)

ival-mult: 3.0ms (5.7% of total)

ival-log1p: 3.0ms (5.7% of total)

ival-sub: 2.0ms (3.8% of total)

ival-fabs: 1.0ms (1.9% of total)

ival-neg: 1.0ms (1.9% of total)

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

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

exact: 0.0ms (0% of total)

series92.0ms (0.9%)

Memory

0.5MiB live, 154.0MiB allocated

Counts

20 → 240

Calls

Call 1

Inputs
#<alt (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))>
#<alt (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))>
#<alt (copysign.f64 (+.f64 (log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (log.f64 (/.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))) x)>
#<alt (+.f64 (log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (log.f64 (/.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))))))>
#<alt (copysign.f64 (log.f64 x) x)>
#<alt (log.f64 x)>
#<alt (copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x)>
#<alt (log.f64 (-.f64 (fabs.f64 x) x))>
#<alt (-.f64 (fabs.f64 x) x)>
#<alt (fabs.f64 x)>
#<alt (copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)>
#<alt (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))>
#<alt (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))>
#<alt (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))>
#<alt (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64))>
#<alt (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64)))>
#<alt (neg.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64))))>
#<alt (copysign.f64 (neg.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64)))) x)>
#<alt (log.f64 (/.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))>
#<alt (log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))>

Outputs
#<alt (* (fabs x) (- (fabs x) 1))>
#<alt (+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (* -1/2 (fabs x)))))>
#<alt (+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (+ (* -1/2 (fabs x)) (* 1/8 (* (pow x 2) (fabs x)))))))>
#<alt (+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (+ (* -1/2 (fabs x)) (* (pow x 2) (+ (* -1/16 (* (pow x 2) (fabs x))) (* 1/8 (fabs x))))))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (fabs x) x))))>
#<alt (* (pow x 2) (+ 1 (+ (* -1 (/ (fabs x) x)) (/ (pow (fabs x) 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (+ (* -1 (/ (fabs x) x)) (+ (* -1/2 (/ (fabs x) (pow x 3))) (/ (pow (fabs x) 2) (pow x 2))))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ (fabs x) x)))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (pow (fabs x) 2) x))) x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* 1/2 (/ (fabs x) x)) (pow (fabs x) 2)) x))) x))))>
#<alt (+ 1 (* (fabs x) (- (fabs x) 1)))>
#<alt (+ 1 (+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (* -1/2 (fabs x))))))>
#<alt (+ 1 (+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (+ (* -1/2 (fabs x)) (* 1/8 (* (pow x 2) (fabs x))))))))>
#<alt (+ 1 (+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (+ (* -1/2 (fabs x)) (* (pow x 2) (+ (* -1/16 (* (pow x 2) (fabs x))) (* 1/8 (fabs x)))))))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (fabs x) x))))>
#<alt (* (pow x 2) (+ 1 (+ (* -1 (/ (fabs x) x)) (+ (/ 1 (pow x 2)) (/ (pow (fabs x) 2) (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (+ (* -1 (/ (fabs x) x)) (+ (* -1/2 (/ (fabs x) (pow x 3))) (+ (/ 1 (pow x 2)) (/ (pow (fabs x) 2) (pow x 2)))))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ (fabs x) x)))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ 1 (pow (fabs x) 2)) x))) x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ 1 (+ (* 1/2 (/ (fabs x) x)) (pow (fabs x) 2))) x))) x))))>
#<alt (copysign (+ (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ (fabs x) (sqrt (+ 1 (pow x 2)))) (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))))) x)>
#<alt (copysign (+ (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ (fabs x) (sqrt (+ 1 (pow x 2)))) (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))))) x)>
#<alt (copysign (+ (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ (fabs x) (sqrt (+ 1 (pow x 2)))) (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))))) x)>
#<alt (copysign (+ (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ (fabs x) (sqrt (+ 1 (pow x 2)))) (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))))) x)>
#<alt (copysign (+ (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ (fabs x) (sqrt (+ 1 (pow x 2)))) (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))))) x)>
#<alt (copysign (+ (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ (fabs x) (sqrt (+ 1 (pow x 2)))) (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))))) x)>
#<alt (copysign (+ (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ (fabs x) (sqrt (+ 1 (pow x 2)))) (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))))) x)>
#<alt (copysign (+ (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ (fabs x) (sqrt (+ 1 (pow x 2)))) (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))))) x)>
#<alt (copysign (+ (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ (fabs x) (sqrt (+ 1 (pow x 2)))) (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))))) x)>
#<alt (copysign (+ (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ (fabs x) (sqrt (+ 1 (pow x 2)))) (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))))) x)>
#<alt (copysign (+ (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ (fabs x) (sqrt (+ 1 (pow x 2)))) (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))))) x)>
#<alt (copysign (+ (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ (fabs x) (sqrt (+ 1 (pow x 2)))) (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))))) x)>
#<alt (+ (log (+ 1 (* (fabs x) (- (fabs x) 1)))) (log (/ (+ 1 (fabs x)) (+ 1 (* (fabs x) (- (fabs x) 1))))))>
#<alt (+ (log (+ 1 (* (fabs x) (- (fabs x) 1)))) (+ (log (/ (+ 1 (fabs x)) (+ 1 (* (fabs x) (- (fabs x) 1))))) (* (pow x 2) (+ (* -1/2 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1)))) (/ (* (+ 1 (* (fabs x) (- (fabs x) 1))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (fabs x))))))))>
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#<alt (- (* (pow x 2) (+ (* -1/24 (* (pow x 2) (- (* 24 (* (+ 1 (fabs x)) (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))) (log (/ 1 (+ 1 (fabs x)))))>
#<alt (- (* (pow x 2) (+ (* (pow x 2) (- (* -1/720 (* (pow x 2) (- (+ (* -720 (* (+ 1 (fabs x)) (+ (* 1/16 (/ 1 (pow (+ 1 (fabs x)) 3))) (+ (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))) (+ 1 (fabs x)))) (* 1/16 (/ 1 (pow (+ 1 (fabs x)) 2))))))) (* 360 (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 1/24 (- (* 24 (* (+ 1 (fabs x)) (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))) (log (/ 1 (+ 1 (fabs x)))))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (- (/ (fabs x) x) (log (/ 1 x)))>
#<alt (- (* -1/2 (/ (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))) (pow x 2))) (+ (log (/ 1 x)) (* -1 (/ (fabs x) x))))>
#<alt (- (* -1/6 (/ (+ (* -6 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (+ (* -6 (+ (* -1 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (* -1/2 (fabs x)))) (* -2 (pow (fabs x) 3)))) (pow x 3))) (+ (log (/ 1 x)) (+ (* -1 (/ (fabs x) x)) (* 1/2 (/ (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))) (pow x 2))))))>
#<alt (* -1 (log (/ -1 x)))>
#<alt (- (* -1 (/ (fabs x) x)) (log (/ -1 x)))>
#<alt (- (* -1 (/ (- (* 1/2 (/ (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))) x)) (* -1 (fabs x))) x)) (log (/ -1 x)))>
#<alt (- (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ (+ (* -6 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (+ (* -6 (+ (* -1 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (* -1/2 (fabs x)))) (* -2 (pow (fabs x) 3)))) x)) (* 1/2 (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))))) x)) (* -1 (fabs x))) x)) (log (/ -1 x)))>
#<alt (copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)>
#<alt (copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)>
#<alt (copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)>
#<alt (copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)>
#<alt (copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)>
#<alt (copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)>
#<alt (copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)>
#<alt (copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)>
#<alt (copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)>
#<alt (copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)>
#<alt (copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)>
#<alt (copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)>
#<alt (log (/ (+ 1 (fabs x)) (+ 1 (* (fabs x) (- (fabs x) 1)))))>
#<alt (+ (log (/ (+ 1 (fabs x)) (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (pow x 2) (* (+ 1 (* (fabs x) (- (fabs x) 1))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))))) (+ 1 (fabs x))))>
#<alt (+ (log (/ (+ 1 (fabs x)) (+ 1 (* (fabs x) (- (fabs x) 1))))) (* (pow x 2) (+ (* 1/24 (* (pow x 2) (+ (* -24 (/ (* (+ 1 (* (fabs x) (- (fabs x) 1))) (+ (* 1/8 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* 1/8 (/ (* (fabs x) (+ 1 (fabs x))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (/ (* (+ 1 (* -1/2 (fabs x))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (* (fabs x) (- (fabs x) 1))))))) (+ 1 (fabs x)))) (* -12 (/ (* (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2) (pow (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) 2)) (pow (+ 1 (fabs x)) 2)))))) (/ (* (+ 1 (* (fabs x) (- (fabs x) 1))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (fabs x))))))>
#<alt (+ (log (/ (+ 1 (fabs x)) (+ 1 (* (fabs x) (- (fabs x) 1))))) (* (pow x 2) (+ (* (pow x 2) (+ (* 1/720 (* (pow x 2) (+ (* 240 (/ (* (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 3) (pow (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) 3)) (pow (+ 1 (fabs x)) 3))) (+ (* 720 (/ (* (+ 1 (* (fabs x) (- (fabs x) 1))) (- (* 1/16 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* -1 (/ (* (+ 1 (* -1/2 (fabs x))) (+ (* 1/8 (/ (* (fabs x) (+ 1 (fabs x))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (+ (* 1/8 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (* -1/2 (fabs x))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (* (fabs x) (- (fabs x) 1))))))) (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* -1/16 (/ (* (fabs x) (+ 1 (fabs x))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (* 1/8 (/ (* (fabs x) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (* (fabs x) (- (fabs x) 1))))))))) (+ 1 (fabs x)))) (* 720 (/ (* (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2) (* (+ (* 1/8 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* 1/8 (/ (* (fabs x) (+ 1 (fabs x))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (/ (* (+ 1 (* -1/2 (fabs x))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (* (fabs x) (- (fabs x) 1)))))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))))) (pow (+ 1 (fabs x)) 2))))))) (* 1/24 (+ (* -24 (/ (* (+ 1 (* (fabs x) (- (fabs x) 1))) (+ (* 1/8 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* 1/8 (/ (* (fabs x) (+ 1 (fabs x))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (/ (* (+ 1 (* -1/2 (fabs x))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (* (fabs x) (- (fabs x) 1))))))) (+ 1 (fabs x)))) (* -12 (/ (* (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2) (pow (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) 2)) (pow (+ 1 (fabs x)) 2))))))) (/ (* (+ 1 (* (fabs x) (- (fabs x) 1))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (fabs x))))))>
#<alt (log (/ 1 x))>
#<alt (- (+ (log (/ 1 x)) (/ (fabs x) x)) (* -1 (/ (fabs x) x)))>
#<alt (- (+ (log (/ 1 x)) (+ (* 1/2 (/ (+ (* -2 (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2)))) (* -1 (pow (- (fabs x) (* -1 (fabs x))) 2))) (pow x 2))) (/ (fabs x) x))) (* -1 (/ (fabs x) x)))>
#<alt (- (+ (log (/ 1 x)) (+ (* 1/6 (/ (+ (* -6 (+ (* -1/2 (fabs x)) (+ (* (fabs x) (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2)))) (* (+ 1 (pow (fabs x) 2)) (- (fabs x) (* -1 (fabs x))))))) (+ (* 2 (pow (- (fabs x) (* -1 (fabs x))) 3)) (* 6 (* (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2))) (- (fabs x) (* -1 (fabs x))))))) (pow x 3))) (+ (* 1/2 (/ (+ (* -2 (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2)))) (* -1 (pow (- (fabs x) (* -1 (fabs x))) 2))) (pow x 2))) (/ (fabs x) x)))) (* -1 (/ (fabs x) x)))>
#<alt (log (/ -1 x))>
#<alt (+ (log (/ -1 x)) (* -1 (/ (- (fabs x) (* -1 (fabs x))) x)))>
#<alt (+ (log (/ -1 x)) (* -1 (/ (- (+ (fabs x) (* -1/2 (/ (+ (* -2 (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2)))) (* -1 (pow (- (fabs x) (* -1 (fabs x))) 2))) x))) (* -1 (fabs x))) x)))>
#<alt (+ (log (/ -1 x)) (* -1 (/ (- (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (+ (* -1/2 (fabs x)) (+ (* (fabs x) (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2)))) (* (+ 1 (pow (fabs x) 2)) (- (fabs x) (* -1 (fabs x))))))) (+ (* 2 (pow (- (fabs x) (* -1 (fabs x))) 3)) (* 6 (* (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2))) (- (fabs x) (* -1 (fabs x))))))) x)) (* 1/2 (+ (* -2 (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2)))) (* -1 (pow (- (fabs x) (* -1 (fabs x))) 2))))) x))) (* -1 (fabs x))) x)))>
#<alt (log (+ 1 (* (fabs x) (- (fabs x) 1))))>
#<alt (+ (log (+ 1 (* (fabs x) (- (fabs x) 1)))) (/ (* (pow x 2) (+ 1 (* -1/2 (fabs x)))) (+ 1 (* (fabs x) (- (fabs x) 1)))))>
#<alt (+ (log (+ 1 (* (fabs x) (- (fabs x) 1)))) (* (pow x 2) (+ (* -1/2 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* 1/24 (* (pow x 2) (+ (* -12 (/ (pow (+ 1 (* -1/2 (fabs x))) 2) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (* 3 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1)))))))) (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))))))>
#<alt (+ (log (+ 1 (* (fabs x) (- (fabs x) 1)))) (* (pow x 2) (+ (* -1/2 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* (pow x 2) (+ (* 1/720 (* (pow x 2) (+ (* -90 (/ (* (fabs x) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (+ (* -45 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))) (* 240 (/ (pow (+ 1 (* -1/2 (fabs x))) 3) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 3))))))) (* 1/24 (+ (* -12 (/ (pow (+ 1 (* -1/2 (fabs x))) 2) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (* 3 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))))))) (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))))))>
#<alt (* -2 (log (/ 1 x)))>
#<alt (+ (* -2 (log (/ 1 x))) (* -1 (/ (fabs x) x)))>
#<alt (+ (* -2 (log (/ 1 x))) (+ (* -1 (/ (fabs x) x)) (* 1/2 (/ (+ (* -1 (pow (fabs x) 2)) (* 2 (+ 1 (pow (fabs x) 2)))) (pow x 2)))))>
#<alt (+ (* -2 (log (/ 1 x))) (+ (* -1 (/ (fabs x) x)) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (+ (* -2 (pow (fabs x) 3)) (* 6 (* (fabs x) (+ 1 (pow (fabs x) 2)))))) (pow x 3))) (* 1/2 (/ (+ (* -1 (pow (fabs x) 2)) (* 2 (+ 1 (pow (fabs x) 2)))) (pow x 2))))))>
#<alt (* -2 (log (/ -1 x)))>
#<alt (+ (* -2 (log (/ -1 x))) (/ (fabs x) x))>
#<alt (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* -1/2 (/ (+ (* -1 (pow (fabs x) 2)) (* 2 (+ 1 (pow (fabs x) 2)))) x))) x)))>
#<alt (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (+ (* -2 (pow (fabs x) 3)) (* 6 (* (fabs x) (+ 1 (pow (fabs x) 2)))))) x)) (* 1/2 (+ (* -1 (pow (fabs x) 2)) (* 2 (+ 1 (pow (fabs x) 2)))))) x))) x)))>

Calls

60 calls:

Time	Variable		Point	Expression
26.0ms	x	@	0	(log x)
23.0ms	x	@	-inf	(log x)
7.0ms	x	@	0	(+ (log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))))) (log (/ (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1)))))
6.0ms	x	@	inf	(log x)
4.0ms	x	@	-inf	(+ (log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))))) (log (/ (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1)))))

rewrite618.0ms (6.3%)

Memory

-19.9MiB live, 598.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 580×	`lower-fma.f32`
5 574×	`lower-fma.f64`
4 686×	`lower-/.f32`
4 680×	`lower-/.f64`
4 134×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	265
0	56	379
1	204	186
2	1607	186
0	8404	186

Stop Event

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

Counts

20 → 1 014

Calls

Call 1

Inputs
(fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))
(copysign.f64 (+.f64 (log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (log.f64 (/.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))) x)
(+.f64 (log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (log.f64 (/.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))))))
(copysign.f64 (log.f64 x) x)
(log.f64 x)
(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x)
(log.f64 (-.f64 (fabs.f64 x) x))
(-.f64 (fabs.f64 x) x)
(fabs.f64 x)
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))
(+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64))
(log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64)))
(neg.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64))))
(copysign.f64 (neg.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64)))) x)
(log.f64 (/.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))
(log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))

Outputs
(+.f64 (.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (.f64 x x))
(+.f64 (.f64 x x) (.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(+.f64 (.f64 x x) (.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(+.f64 (.f64 x x) (.f64 (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (*.f64 x x))
(+.f64 (.f64 (.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64)) (*.f64 x x))
(-.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 (.f64 x x) (.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (/.f64 (.f64 (.f64 x x) (.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (-.f64 (.f64 x x) (.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
(-.f64 (/.f64 (.f64 (.f64 x x) (.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (-.f64 (.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (.f64 x x))) (/.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 (.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (.f64 x x))))
(fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(fma.f64 x x (.f64 #s(literal 1 binary64) (.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(fma.f64 x x (.f64 (.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64)))
(fma.f64 x (.f64 x #s(literal 1 binary64)) (.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(fma.f64 x (.f64 x #s(literal 1 binary64)) (.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(fma.f64 x (.f64 x #s(literal 1 binary64)) (.f64 (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64)))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (.f64 #s(literal 1 binary64) (.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (.f64 (.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64)))
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(log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))

simplify517.0ms (5.3%)

Memory

12.7MiB live, 815.2MiB allocated

Algorithm

1×	egg-herbie

Rules

11 522×	`lower-fma.f64`
11 522×	`lower-fma.f32`
6 536×	`lower-*.f64`
6 536×	`lower-*.f32`
5 976×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	763	7253
1	2422	6772
0	8574	6172

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 238

Calls

Call 1

Inputs
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(+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (* -1/2 (fabs x)))))
(+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (+ (* -1/2 (fabs x)) (* 1/8 (* (pow x 2) (fabs x)))))))
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(* (pow x 2) (+ 1 (+ (* -1 (/ (fabs x) x)) (+ (* -1/2 (/ (fabs x) (pow x 3))) (/ (pow (fabs x) 2) (pow x 2))))))
(pow x 2)
(* (pow x 2) (+ 1 (/ (fabs x) x)))
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(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* 1/2 (/ (fabs x) x)) (pow (fabs x) 2)) x))) x))))
(+ 1 (* (fabs x) (- (fabs x) 1)))
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x
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(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))
1
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(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
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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 (fabs x)))
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(* -1 (log (/ -1 x)))
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(- (* -1 (/ (- (* 1/2 (/ (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))) x)) (* -1 (fabs x))) x)) (log (/ -1 x)))
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(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
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(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(log (/ (+ 1 (fabs x)) (+ 1 (* (fabs x) (- (fabs x) 1)))))
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(log (/ 1 x))
(- (+ (log (/ 1 x)) (/ (fabs x) x)) (* -1 (/ (fabs x) x)))
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(- (+ (log (/ 1 x)) (+ (* 1/6 (/ (+ (* -6 (+ (* -1/2 (fabs x)) (+ (* (fabs x) (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2)))) (* (+ 1 (pow (fabs x) 2)) (- (fabs x) (* -1 (fabs x))))))) (+ (* 2 (pow (- (fabs x) (* -1 (fabs x))) 3)) (* 6 (* (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2))) (- (fabs x) (* -1 (fabs x))))))) (pow x 3))) (+ (* 1/2 (/ (+ (* -2 (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2)))) (* -1 (pow (- (fabs x) (* -1 (fabs x))) 2))) (pow x 2))) (/ (fabs x) x)))) (* -1 (/ (fabs x) x)))
(log (/ -1 x))
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(* -2 (log (/ 1 x)))
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(+ (* -2 (log (/ 1 x))) (+ (* -1 (/ (fabs x) x)) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (+ (* -2 (pow (fabs x) 3)) (* 6 (* (fabs x) (+ 1 (pow (fabs x) 2)))))) (pow x 3))) (* 1/2 (/ (+ (* -1 (pow (fabs x) 2)) (* 2 (+ 1 (pow (fabs x) 2)))) (pow x 2))))))
(* -2 (log (/ -1 x)))
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Outputs
(* (fabs x) (- (fabs x) 1))
(fma.f64 x x (neg.f64 (fabs.f64 x)))
(+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (* -1/2 (fabs x)))))
(fma.f64 x (*.f64 x (fma.f64 (fabs.f64 x) #s(literal -1/2 binary64) #s(literal 1 binary64))) (fma.f64 x x (neg.f64 (fabs.f64 x))))
(+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (+ (* -1/2 (fabs x)) (* 1/8 (* (pow x 2) (fabs x)))))))
(fma.f64 x (.f64 x (fma.f64 (fabs.f64 x) (fma.f64 #s(literal 1/8 binary64) (.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (fma.f64 x x (neg.f64 (fabs.f64 x))))
(+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (+ (* -1/2 (fabs x)) (* (pow x 2) (+ (* -1/16 (* (pow x 2) (fabs x))) (* 1/8 (fabs x))))))))
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) (.f64 (fabs.f64 x) (fma.f64 #s(literal -1/16 binary64) (.f64 x x) #s(literal 1/8 binary64))) (fma.f64 (fabs.f64 x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (fma.f64 x x (neg.f64 (fabs.f64 x))))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -1 (/ (fabs x) x))))
(*.f64 x (fma.f64 (/.f64 (fabs.f64 x) x) (neg.f64 x) x))
(* (pow x 2) (+ 1 (+ (* -1 (/ (fabs x) x)) (/ (pow (fabs x) 2) (pow x 2)))))
(.f64 (.f64 x x) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x)) (/.f64 (.f64 x x) (.f64 x x))))
(* (pow x 2) (+ 1 (+ (* -1 (/ (fabs x) x)) (+ (* -1/2 (/ (fabs x) (pow x 3))) (/ (pow (fabs x) 2) (pow x 2))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fabs.f64 x) (.f64 x (.f64 x x))) (-.f64 (/.f64 (.f64 x x) (.f64 x x)) (/.f64 (fabs.f64 x) x)))))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ (fabs x) x)))
(*.f64 x (fma.f64 x (/.f64 (fabs.f64 x) x) x))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (pow (fabs x) 2) x))) x))))
(.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 (fabs.f64 x)) (/.f64 (*.f64 x x) x)) x)))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* 1/2 (/ (fabs x) x)) (pow (fabs x) 2)) x))) x))))
(.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 (fabs.f64 x)) (/.f64 (fma.f64 (/.f64 (fabs.f64 x) x) #s(literal 1/2 binary64) (*.f64 x x)) x)) x)))
(+ 1 (* (fabs x) (- (fabs x) 1)))
(fma.f64 (fabs.f64 x) (+.f64 (fabs.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (* -1/2 (fabs x))))))
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(+.f64 (neg.f64 (log.f64 x)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 (.f64 #s(literal 2 binary64) (fabs.f64 x)) (.f64 (.f64 #s(literal 2 binary64) (fabs.f64 x)) (.f64 #s(literal 2 binary64) (fabs.f64 x)))) (fma.f64 (fma.f64 (-.f64 (.f64 x x) (.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 6 binary64) #s(literal 3 binary64)) (.f64 #s(literal 2 binary64) (fabs.f64 x)) (.f64 #s(literal -6 binary64) (fma.f64 (fabs.f64 x) (+.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) (.f64 #s(literal 2 binary64) (.f64 x x))))) (.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (fabs.f64 x))))))) (.f64 x (.f64 x x))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -2 binary64) (-.f64 (.f64 x x) (.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal -1 binary64)) (.f64 (.f64 #s(literal 2 binary64) (fabs.f64 x)) (.f64 #s(literal 2 binary64) (fabs.f64 x)))) (.f64 x x)) (/.f64 (*.f64 #s(literal 2 binary64) (fabs.f64 x)) x))))
(log (/ -1 x))
(log.f64 (/.f64 #s(literal -1 binary64) x))
(+ (log (/ -1 x)) (* -1 (/ (- (fabs x) (* -1 (fabs x))) x)))
(-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 (*.f64 #s(literal 2 binary64) (fabs.f64 x)) x))
(+ (log (/ -1 x)) (* -1 (/ (- (+ (fabs x) (* -1/2 (/ (+ (* -2 (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2)))) (* -1 (pow (- (fabs x) (* -1 (fabs x))) 2))) x))) (* -1 (fabs x))) x)))
(-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -2 binary64) (-.f64 (.f64 x x) (.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal -1 binary64)) (.f64 (.f64 #s(literal 2 binary64) (fabs.f64 x)) (.f64 #s(literal 2 binary64) (fabs.f64 x)))) x) (*.f64 #s(literal 2 binary64) (fabs.f64 x))) x))
(+ (log (/ -1 x)) (* -1 (/ (- (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (+ (* -1/2 (fabs x)) (+ (* (fabs x) (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2)))) (* (+ 1 (pow (fabs x) 2)) (- (fabs x) (* -1 (fabs x))))))) (+ (* 2 (pow (- (fabs x) (* -1 (fabs x))) 3)) (* 6 (* (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2))) (- (fabs x) (* -1 (fabs x))))))) x)) (* 1/2 (+ (* -2 (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2)))) (* -1 (pow (- (fabs x) (* -1 (fabs x))) 2))))) x))) (* -1 (fabs x))) x)))
(-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 (+.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 (.f64 #s(literal 2 binary64) (fabs.f64 x)) (.f64 (.f64 #s(literal 2 binary64) (fabs.f64 x)) (.f64 #s(literal 2 binary64) (fabs.f64 x)))) (fma.f64 (fma.f64 (-.f64 (.f64 x x) (.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 6 binary64) #s(literal 3 binary64)) (.f64 #s(literal 2 binary64) (fabs.f64 x)) (.f64 #s(literal -6 binary64) (fma.f64 (fabs.f64 x) (+.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) (.f64 #s(literal 2 binary64) (.f64 x x))))) (.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (fabs.f64 x))))))) x) (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) (.f64 #s(literal 2 binary64) (.f64 x x)))) (.f64 #s(literal -1/2 binary64) (.f64 (.f64 #s(literal 2 binary64) (fabs.f64 x)) (.f64 #s(literal 2 binary64) (fabs.f64 x)))))) x))) x))
(log (+ 1 (* (fabs x) (- (fabs x) 1))))
(log1p.f64 (fma.f64 x x (neg.f64 (fabs.f64 x))))
(+ (log (+ 1 (* (fabs x) (- (fabs x) 1)))) (/ (* (pow x 2) (+ 1 (* -1/2 (fabs x)))) (+ 1 (* (fabs x) (- (fabs x) 1)))))
(fma.f64 (*.f64 x x) (/.f64 (fma.f64 (fabs.f64 x) #s(literal -1/2 binary64) #s(literal 1 binary64)) (fma.f64 (fabs.f64 x) (+.f64 (fabs.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))) (log1p.f64 (fma.f64 x x (neg.f64 (fabs.f64 x)))))
(+ (log (+ 1 (* (fabs x) (- (fabs x) 1)))) (* (pow x 2) (+ (* -1/2 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* 1/24 (* (pow x 2) (+ (* -12 (/ (pow (+ 1 (* -1/2 (fabs x))) 2) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (* 3 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1)))))))) (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))))))
(fma.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fabs.f64 x) (fma.f64 (fabs.f64 x) (+.f64 (fabs.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))) (fma.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (fma.f64 (fabs.f64 x) #s(literal -1/2 binary64) #s(literal 1 binary64)) (fma.f64 (fabs.f64 x) #s(literal -1/2 binary64) #s(literal 1 binary64))) (.f64 (fma.f64 (fabs.f64 x) (+.f64 (fabs.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 (fabs.f64 x) (+.f64 (fabs.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 (fabs.f64 x) (fma.f64 (fabs.f64 x) (+.f64 (fabs.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 x) (+.f64 (fabs.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))))) (log1p.f64 (fma.f64 x x (neg.f64 (fabs.f64 x)))))
(+ (log (+ 1 (* (fabs x) (- (fabs x) 1)))) (* (pow x 2) (+ (* -1/2 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* (pow x 2) (+ (* 1/720 (* (pow x 2) (+ (* -90 (/ (* (fabs x) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (+ (* -45 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))) (* 240 (/ (pow (+ 1 (* -1/2 (fabs x))) 3) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 3))))))) (* 1/24 (+ (* -12 (/ (pow (+ 1 (* -1/2 (fabs x))) 2) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (* 3 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))))))) (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))))))
(fma.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fabs.f64 x) (fma.f64 (fabs.f64 x) (+.f64 (fabs.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (fma.f64 (/.f64 (fabs.f64 x) (fma.f64 (fabs.f64 x) (+.f64 (fabs.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal -45 binary64) (/.f64 (.f64 (.f64 #s(literal 240 binary64) (fma.f64 (fabs.f64 x) #s(literal -1/2 binary64) #s(literal 1 binary64))) (.f64 (fma.f64 (fabs.f64 x) #s(literal -1/2 binary64) #s(literal 1 binary64)) (fma.f64 (fabs.f64 x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (.f64 (fma.f64 (fabs.f64 x) (+.f64 (fabs.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (fabs.f64 x) (+.f64 (fabs.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 (fabs.f64 x) (+.f64 (fabs.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)))))) #s(literal 1/720 binary64) (.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal -1/2 binary64) (fabs.f64 x)) (.f64 (fma.f64 (fabs.f64 x) (+.f64 (fabs.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 (fabs.f64 x) (+.f64 (fabs.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)))) #s(literal -1/8 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (fma.f64 (fabs.f64 x) #s(literal -1/2 binary64) #s(literal 1 binary64)) (fma.f64 (fabs.f64 x) #s(literal -1/2 binary64) #s(literal 1 binary64))) (.f64 (fma.f64 (fabs.f64 x) (+.f64 (fabs.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 (fabs.f64 x) (+.f64 (fabs.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 (fabs.f64 x) (fma.f64 (fabs.f64 x) (+.f64 (fabs.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 x) (+.f64 (fabs.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))))) (log1p.f64 (fma.f64 x x (neg.f64 (fabs.f64 x)))))
(* -2 (log (/ 1 x)))
(neg.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))
(+ (* -2 (log (/ 1 x))) (* -1 (/ (fabs x) x)))
(-.f64 (neg.f64 (*.f64 (log.f64 x) #s(literal -2 binary64))) (/.f64 (fabs.f64 x) x))
(+ (* -2 (log (/ 1 x))) (+ (* -1 (/ (fabs x) x)) (* 1/2 (/ (+ (* -1 (pow (fabs x) 2)) (* 2 (+ 1 (pow (fabs x) 2)))) (pow x 2)))))
(fma.f64 (neg.f64 (log.f64 x)) #s(literal -2 binary64) (-.f64 (/.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)) (.f64 (.f64 x x) #s(literal -1/2 binary64))) (*.f64 x x)) (/.f64 (fabs.f64 x) x)))
(+ (* -2 (log (/ 1 x))) (+ (* -1 (/ (fabs x) x)) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (+ (* -2 (pow (fabs x) 3)) (* 6 (* (fabs x) (+ 1 (pow (fabs x) 2)))))) (pow x 3))) (* 1/2 (/ (+ (* -1 (pow (fabs x) 2)) (* 2 (+ 1 (pow (fabs x) 2)))) (pow x 2))))))
(fma.f64 (neg.f64 (log.f64 x)) #s(literal -2 binary64) (-.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (fma.f64 (fabs.f64 x) #s(literal -3 binary64) (fma.f64 (fabs.f64 x) (.f64 (.f64 x x) #s(literal -2 binary64)) (.f64 (fabs.f64 x) (.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 6 binary64))))) (.f64 x (.f64 x x))) (/.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)) (.f64 (.f64 x x) #s(literal -1/2 binary64))) (*.f64 x x))) (/.f64 (fabs.f64 x) x)))
(* -2 (log (/ -1 x)))
(*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (* -2 (log (/ -1 x))) (/ (fabs x) x))
(fma.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 (fabs.f64 x) x))
(+ (* -2 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* -1/2 (/ (+ (* -1 (pow (fabs x) 2)) (* 2 (+ 1 (pow (fabs x) 2)))) x))) x)))
(-.f64 (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 2 binary64) (.f64 x x) #s(literal 2 binary64)) (*.f64 x x)) x) (neg.f64 (fabs.f64 x))) x))
(+ (* -2 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (+ (* -2 (pow (fabs x) 3)) (* 6 (* (fabs x) (+ 1 (pow (fabs x) 2)))))) x)) (* 1/2 (+ (* -1 (pow (fabs x) 2)) (* 2 (+ 1 (pow (fabs x) 2)))))) x))) x)))
(-.f64 (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 (-.f64 (neg.f64 (fabs.f64 x)) (/.f64 (fma.f64 (.f64 x x) #s(literal -1/2 binary64) (fma.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)) (/.f64 (.f64 #s(literal -1/6 binary64) (fma.f64 (fabs.f64 x) #s(literal -3 binary64) (fma.f64 (fabs.f64 x) (.f64 (.f64 x x) #s(literal -2 binary64)) (.f64 (fabs.f64 x) (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 6 binary64)))))) x))) x)) x))

eval255.0ms (2.6%)

Memory: 24.0MiB live, 680.8MiB allocated
Compiler: Compiled 81 862 to 5 606 computations (93.2% saved)

prune147.0ms (1.5%)

Memory

14.3MiB live, 400.4MiB allocated

Pruning

15 alts after pruning (12 fresh and 3 done)

	Pruned	Kept	Total
New	1 509	5	1 514
Fresh	4	7	11
Picked	2	3	5
Done	0	0	0
Total	1 515	15	1 530

Accuracy

99.7%

Counts

1 530 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.9%	(copysign.f64 (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x))) x)
	52.6%	(copysign.f64 (fma.f64 x (.f64 x (fma.f64 #s(literal -1/24 binary64) (.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (log1p.f64 (fabs.f64 x))) x)
	58.9%	(copysign.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)))) (log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) x)
	18.0%	(copysign.f64 (-.f64 (log.f64 (fabs.f64 x)) (/.f64 x (fabs.f64 x))) x)
	27.4%	(copysign.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) x)
	26.5%	(copysign.f64 (neg.f64 (log.f64 (*.f64 (/.f64 (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))))))) x)
▶	64.9%	(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
✓	26.2%	(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x)
	25.0%	(copysign.f64 (log.f64 (+.f64 (-.f64 (fabs.f64 x) x) (/.f64 #s(literal -1/2 binary64) x))) x)
✓	27.4%	(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
▶	27.1%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (+.f64 x (/.f64 #s(literal 1/2 binary64) x)))) x)
	19.5%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x)
▶	27.5%	(copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x)
▶	9.4%	(copysign.f64 (log.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)))) x)
✓	9.2%	(copysign.f64 (log.f64 x) x)

Compiler

Compiled 461 to 242 computations (47.5% saved)

simplify13.0ms (0.1%)

Memory

-22.1MiB live, 20.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x)))
✓	cost-diff	0	(copysign.f64 (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x))) x)
✓	cost-diff	0	(fabs.f64 x)
✓	cost-diff	0	(+.f64 (fabs.f64 x) (+.f64 x (/.f64 #s(literal 1/2 binary64) x)))
✓	cost-diff	0	(log.f64 (+.f64 (fabs.f64 x) (+.f64 x (/.f64 #s(literal 1/2 binary64) x))))
✓	cost-diff	0	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (+.f64 x (/.f64 #s(literal 1/2 binary64) x)))) x)
✓	cost-diff	0	(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)))
✓	cost-diff	0	(copysign.f64 (log.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)))) x)
✓	cost-diff	192	(log.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))))
✓	cost-diff	0	(fabs.f64 x)
✓	cost-diff	0	(+.f64 x (fabs.f64 x))
✓	cost-diff	0	(log.f64 (+.f64 x (fabs.f64 x)))
✓	cost-diff	0	(copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x)
✓	cost-diff	0	(fabs.f64 x)
✓	cost-diff	0	(log1p.f64 (fabs.f64 x))
✓	cost-diff	0	(copysign.f64 (log1p.f64 (fabs.f64 x)) x)

Rules

52×	`lower-+.f32`
42×	`lower-+.f64`
42×	`lower-*.f32`
40×	`lower-fma.f32`
38×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	165
0	48	165
1	68	165
2	86	165
3	94	165
4	100	165
0	100	161

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(log1p.f64 (fabs.f64 x))
(fabs.f64 x)
x
(copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x)
(log.f64 (+.f64 x (fabs.f64 x)))
(+.f64 x (fabs.f64 x))
x
(fabs.f64 x)
(copysign.f64 (log.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)))) x)
(log.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))))
(+.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)))
#s(literal 1 binary64)
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))
x
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(fabs.f64 x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (+.f64 x (/.f64 #s(literal 1/2 binary64) x)))) x)
(log.f64 (+.f64 (fabs.f64 x) (+.f64 x (/.f64 #s(literal 1/2 binary64) x))))
(+.f64 (fabs.f64 x) (+.f64 x (/.f64 #s(literal 1/2 binary64) x)))
(fabs.f64 x)
x
(+.f64 x (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
(copysign.f64 (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x))) x)
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x)))
(*.f64 x x)
x
(/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))
#s(literal 1/2 binary64)
(+.f64 (fabs.f64 x) #s(literal 1 binary64))
(fabs.f64 x)
#s(literal 1 binary64)
(log1p.f64 (fabs.f64 x))

Outputs
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(log1p.f64 (fabs.f64 x))
(fabs.f64 x)
x
(copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x)
(log.f64 (+.f64 x (fabs.f64 x)))
(+.f64 x (fabs.f64 x))
x
(fabs.f64 x)
(copysign.f64 (log.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)))) x)
(copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x)
(log.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))))
(log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)))
(+.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)))
#s(literal 1 binary64)
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))
x
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(fabs.f64 x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (+.f64 x (/.f64 #s(literal 1/2 binary64) x)))) x)
(log.f64 (+.f64 (fabs.f64 x) (+.f64 x (/.f64 #s(literal 1/2 binary64) x))))
(+.f64 (fabs.f64 x) (+.f64 x (/.f64 #s(literal 1/2 binary64) x)))
(fabs.f64 x)
x
(+.f64 x (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
(copysign.f64 (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x))) x)
(copysign.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x))) x)
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x)))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x)))
(*.f64 x x)
x
(/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))
#s(literal 1/2 binary64)
(+.f64 (fabs.f64 x) #s(literal 1 binary64))
(fabs.f64 x)
#s(literal 1 binary64)
(log1p.f64 (fabs.f64 x))

localize106.0ms (1.1%)

Memory

-7.7MiB live, 185.4MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(log1p.f64 (fabs.f64 x))
✓	accuracy	100.0%	(fabs.f64 x)
✓	accuracy	86.9%	(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x)))
✓	accuracy	100.0%	(+.f64 x (/.f64 #s(literal 1/2 binary64) x))
✓	accuracy	100.0%	(log.f64 (+.f64 (fabs.f64 x) (+.f64 x (/.f64 #s(literal 1/2 binary64) x))))
✓	accuracy	100.0%	(fabs.f64 x)
✓	accuracy	100.0%	(+.f64 (fabs.f64 x) (+.f64 x (/.f64 #s(literal 1/2 binary64) x)))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)))
✓	accuracy	100.0%	(*.f64 x #s(literal 1/2 binary64))
✓	accuracy	100.0%	(fabs.f64 x)
✓	accuracy	61.2%	(log.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))))
✓	accuracy	100.0%	(copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x)
✓	accuracy	100.0%	(+.f64 x (fabs.f64 x))
✓	accuracy	100.0%	(log.f64 (+.f64 x (fabs.f64 x)))
✓	accuracy	100.0%	(fabs.f64 x)
✓	accuracy	100.0%	(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
✓	accuracy	100.0%	(log1p.f64 (fabs.f64 x))
✓	accuracy	100.0%	(fabs.f64 x)

Samples

42.0ms	134×	0	valid
30.0ms	122×	0	invalid

Compiler

Compiled 183 to 28 computations (84.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-copysign: 9.0ms (22.9% of total)

ival-add: 8.0ms (20.4% of total)

ival-log1p: 7.0ms (17.8% of total)

ival-mult: 6.0ms (15.3% of total)

ival-log: 4.0ms (10.2% of total)

ival-div: 3.0ms (7.6% of total)

ival-fabs: 2.0ms (5.1% of total)

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

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

exact: 0.0ms (0% of total)

series84.0ms (0.9%)

Memory

11.0MiB live, 84.2MiB allocated

Counts

19 → 228

Calls

Call 1

Inputs
#<alt (copysign.f64 (log1p.f64 (fabs.f64 x)) x)>
#<alt (log1p.f64 (fabs.f64 x))>
#<alt (fabs.f64 x)>
#<alt (copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x)>
#<alt (log.f64 (+.f64 x (fabs.f64 x)))>
#<alt (+.f64 x (fabs.f64 x))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))))>
#<alt (copysign.f64 (log.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)))) x)>
#<alt (+.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)))>
#<alt (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))>
#<alt (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (+.f64 x (/.f64 #s(literal 1/2 binary64) x)))) x)>
#<alt (log.f64 (+.f64 (fabs.f64 x) (+.f64 x (/.f64 #s(literal 1/2 binary64) x))))>
#<alt (+.f64 (fabs.f64 x) (+.f64 x (/.f64 #s(literal 1/2 binary64) x)))>
#<alt (copysign.f64 (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x))) x)>
#<alt (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x)))>
#<alt (*.f64 x x)>
#<alt (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))>
#<alt (*.f64 x #s(literal 1/2 binary64))>
#<alt (+.f64 x (/.f64 #s(literal 1/2 binary64) x))>

Outputs
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (copysign (log (+ x (fabs x))) x)>
#<alt (copysign (log (+ x (fabs x))) x)>
#<alt (copysign (log (+ x (fabs x))) x)>
#<alt (copysign (log (+ x (fabs x))) x)>
#<alt (copysign (log (+ x (fabs x))) x)>
#<alt (copysign (log (+ x (fabs x))) x)>
#<alt (copysign (log (+ x (fabs x))) x)>
#<alt (copysign (log (+ x (fabs x))) x)>
#<alt (copysign (log (- (fabs x) (* -1 x))) x)>
#<alt (copysign (log (- (fabs x) (* -1 x))) x)>
#<alt (copysign (log (- (fabs x) (* -1 x))) x)>
#<alt (copysign (log (- (fabs x) (* -1 x))) x)>
#<alt (log (fabs x))>
#<alt (+ (log (fabs x)) (/ x (fabs x)))>
#<alt (+ (log (fabs x)) (* x (+ (* -1/2 (/ x (pow (fabs x) 2))) (/ 1 (fabs x)))))>
#<alt (+ (log (fabs x)) (* x (+ (* x (- (* 1/3 (/ x (pow (fabs x) 3))) (* 1/2 (/ 1 (pow (fabs x) 2))))) (/ 1 (fabs x)))))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (* -1 (log (/ 1 x))) (/ (fabs x) x))>
#<alt (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow (fabs x) 2) (pow x 2))) (/ (fabs x) x)))>
#<alt (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow (fabs x) 2) (pow x 2))) (+ (* 1/3 (/ (pow (fabs x) 3) (pow x 3))) (/ (fabs x) x))))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ (fabs x) x)))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* 1/2 (/ (pow (fabs x) 2) x))) x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1/2 (pow (fabs x) 2)) (* 1/3 (/ (pow (fabs x) 3) x))) x))) x))))>
#<alt (fabs x)>
#<alt (+ x (fabs x))>
#<alt (+ x (fabs x))>
#<alt (+ x (fabs x))>
#<alt x>
#<alt (* x (+ 1 (/ (fabs x) x)))>
#<alt (* x (+ 1 (/ (fabs x) x)))>
#<alt (* x (+ 1 (/ (fabs x) x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (fabs x) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (fabs x) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (fabs x) x)) 1)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))>
#<alt (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (+ 1 (fabs x)) 2))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))>
#<alt (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (- (* 1/24 (/ (pow x 2) (pow (+ 1 (fabs x)) 3))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))>
#<alt (+ (log 1/2) (* -2 (log (/ 1 x))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ 1 x))) (* 2 (/ (+ 1 (fabs x)) (pow x 2)))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ 1 x))) (+ (* -2 (/ (pow (+ 1 (fabs x)) 2) (pow x 4))) (* 2 (/ (+ 1 (fabs x)) (pow x 2))))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ 1 x))) (+ (* -2 (/ (pow (+ 1 (fabs x)) 2) (pow x 4))) (+ (* 2 (/ (+ 1 (fabs x)) (pow x 2))) (* 8/3 (/ (pow (+ 1 (fabs x)) 3) (pow x 6)))))))>
#<alt (+ (log 1/2) (* -2 (log (/ -1 x))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ -1 x))) (* 2 (/ (+ 1 (fabs x)) (pow x 2)))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ -1 x))) (+ (* -2 (/ (pow (+ 1 (fabs x)) 2) (pow x 4))) (* 2 (/ (+ 1 (fabs x)) (pow x 2))))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ -1 x))) (+ (* -2 (/ (pow (+ 1 (fabs x)) 2) (pow x 4))) (+ (* 2 (/ (+ 1 (fabs x)) (pow x 2))) (* 8/3 (/ (pow (+ 1 (fabs x)) 3) (pow x 6)))))))>
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)>
#<alt (+ 1 (fabs x))>
#<alt (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))>
#<alt (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))>
#<alt (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (+ (/ 1 (pow x 2)) (/ (fabs x) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/2 (+ (/ 1 (pow x 2)) (/ (fabs x) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/2 (+ (/ 1 (pow x 2)) (/ (fabs x) (pow x 2)))))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (+ (/ 1 (pow x 2)) (/ (fabs x) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/2 (+ (/ 1 (pow x 2)) (/ (fabs x) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/2 (+ (/ 1 (pow x 2)) (/ (fabs x) (pow x 2)))))>
#<alt (fabs x)>
#<alt (+ (fabs x) (* 1/2 (pow x 2)))>
#<alt (+ (fabs x) (* 1/2 (pow x 2)))>
#<alt (+ (fabs x) (* 1/2 (pow x 2)))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2))))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2))))>
#<alt (copysign (log (+ x (+ (fabs x) (* 1/2 (/ 1 x))))) x)>
#<alt (copysign (log (+ x (+ (fabs x) (* 1/2 (/ 1 x))))) x)>
#<alt (copysign (log (+ x (+ (fabs x) (* 1/2 (/ 1 x))))) x)>
#<alt (copysign (log (+ x (+ (fabs x) (* 1/2 (/ 1 x))))) x)>
#<alt (copysign (log (+ x (+ (fabs x) (* 1/2 (/ 1 x))))) x)>
#<alt (copysign (log (+ x (+ (fabs x) (* 1/2 (/ 1 x))))) x)>
#<alt (copysign (log (+ x (+ (fabs x) (* 1/2 (/ 1 x))))) x)>
#<alt (copysign (log (+ x (+ (fabs x) (* 1/2 (/ 1 x))))) x)>
#<alt (copysign (log (- (+ (fabs x) (* 1/2 (/ 1 x))) (* -1 x))) x)>
#<alt (copysign (log (- (+ (fabs x) (* 1/2 (/ 1 x))) (* -1 x))) x)>
#<alt (copysign (log (- (+ (fabs x) (* 1/2 (/ 1 x))) (* -1 x))) x)>
#<alt (copysign (log (- (+ (fabs x) (* 1/2 (/ 1 x))) (* -1 x))) x)>
#<alt (+ (log 1/2) (* -1 (log x)))>
#<alt (+ (log 1/2) (+ (* -1 (log x)) (* 2 (* x (fabs x)))))>
#<alt (+ (log 1/2) (+ (* -1 (log x)) (* x (+ (* 1/2 (* x (+ 4 (* -4 (pow (fabs x) 2))))) (* 2 (fabs x))))))>
#<alt (+ (log 1/2) (+ (* -1 (log x)) (* x (+ (* 2 (fabs x)) (* x (+ (* 1/6 (* x (+ (* -24 (fabs x)) (* 16 (pow (fabs x) 3))))) (* 1/2 (+ 4 (* -4 (pow (fabs x) 2))))))))))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (* -1 (log (/ 1 x))) (/ (fabs x) x))>
#<alt (+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))>
#<alt (+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ (fabs x) x)))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1/6 (/ (+ (* -2 (pow (fabs x) 3)) (* 3 (fabs x))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x))))>
#<alt (/ 1/2 x)>
#<alt (/ (+ 1/2 (* x (fabs x))) x)>
#<alt (/ (+ 1/2 (* x (+ x (fabs x)))) x)>
#<alt (/ (+ 1/2 (* x (+ x (fabs x)))) x)>
#<alt x>
#<alt (* x (+ 1 (/ (fabs x) x)))>
#<alt (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))>
#<alt (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (fabs x) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (+ (fabs x) (* 1/2 (/ 1 x))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (+ (fabs x) (* 1/2 (/ 1 x))) x)) 1)))>
#<alt (copysign (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) x)>
#<alt (copysign (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) x)>
#<alt (copysign (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) x)>
#<alt (copysign (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) x)>
#<alt (copysign (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) x)>
#<alt (copysign (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) x)>
#<alt (copysign (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) x)>
#<alt (copysign (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) x)>
#<alt (copysign (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) x)>
#<alt (copysign (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) x)>
#<alt (copysign (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) x)>
#<alt (copysign (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) x)>
#<alt (log (+ 1 (fabs x)))>
#<alt (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))>
#<alt (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))>
#<alt (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))>
#<alt (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))>
#<alt (* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2))))>
#<alt (* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2))))>
#<alt (* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2))))>
#<alt (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))>
#<alt (* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2))))>
#<alt (* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2))))>
#<alt (* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (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 (/ 1/2 (+ 1 (fabs x)))>
#<alt (/ 1/2 (+ 1 (fabs x)))>
#<alt (/ 1/2 (+ 1 (fabs x)))>
#<alt (/ 1/2 (+ 1 (fabs x)))>
#<alt (/ 1/2 (+ 1 (fabs x)))>
#<alt (/ 1/2 (+ 1 (fabs x)))>
#<alt (/ 1/2 (+ 1 (fabs x)))>
#<alt (/ 1/2 (+ 1 (fabs x)))>
#<alt (/ 1/2 (+ 1 (fabs x)))>
#<alt (/ 1/2 (+ 1 (fabs x)))>
#<alt (/ 1/2 (+ 1 (fabs x)))>
#<alt (/ 1/2 (+ 1 (fabs 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 (/ 1/2 x)>
#<alt (/ (+ 1/2 (pow x 2)) x)>
#<alt (/ (+ 1/2 (pow x 2)) x)>
#<alt (/ (+ 1/2 (pow x 2)) x)>
#<alt x>
#<alt (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))>

Calls

57 calls:

Time	Variable		Point	Expression
39.0ms	x	@	inf	(log (+ 1 (fabs x)))
17.0ms	x	@	0	(log (+ 1 (fabs x)))
15.0ms	x	@	-inf	(log (+ 1 (fabs x)))
1.0ms	x	@	inf	(log (+ 1 (+ (* x (* x 1/2)) (fabs x))))
1.0ms	x	@	inf	(+ (* (* x x) (/ 1/2 (+ (fabs x) 1))) (log (+ 1 (fabs x))))

rewrite337.0ms (3.4%)

Memory

-21.4MiB live, 489.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 956×	`lower-fma.f32`
5 952×	`lower-fma.f64`
4 610×	`lower-/.f32`
4 606×	`lower-/.f64`
4 024×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	137
0	48	137
1	167	137
2	1382	137
0	8546	133

Stop Event

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

Counts

19 → 514

Calls

Call 1

Inputs
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(log1p.f64 (fabs.f64 x))
(fabs.f64 x)
(copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x)
(log.f64 (+.f64 x (fabs.f64 x)))
(+.f64 x (fabs.f64 x))
(log.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))))
(copysign.f64 (log.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)))) x)
(+.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (+.f64 x (/.f64 #s(literal 1/2 binary64) x)))) x)
(log.f64 (+.f64 (fabs.f64 x) (+.f64 x (/.f64 #s(literal 1/2 binary64) x))))
(+.f64 (fabs.f64 x) (+.f64 x (/.f64 #s(literal 1/2 binary64) x)))
(copysign.f64 (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x))) x)
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x)))
(*.f64 x x)
(/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 x #s(literal 1/2 binary64))
(+.f64 x (/.f64 #s(literal 1/2 binary64) x))

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

simplify501.0ms (5.1%)

Memory

21.9MiB live, 539.8MiB allocated

Algorithm

1×	egg-herbie

Rules

13 046×	`lower-fma.f64`
13 046×	`lower-fma.f32`
5 616×	`lower-*.f64`
5 616×	`lower-*.f32`
2 488×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	257	2291
1	665	2225
2	1866	2158
3	7096	2152
0	8356	1914

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 222

Calls

Call 1

Inputs
(copysign (log (+ 1 (fabs x))) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign (log (+ 1 (fabs x))) x)
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(copysign (log (+ x (fabs x))) x)
(copysign (log (+ x (fabs x))) x)
(copysign (log (+ x (fabs x))) x)
(copysign (log (+ x (fabs x))) x)
(copysign (log (+ x (fabs x))) x)
(copysign (log (+ x (fabs x))) x)
(copysign (log (+ x (fabs x))) x)
(copysign (log (+ x (fabs x))) x)
(copysign (log (- (fabs x) (* -1 x))) x)
(copysign (log (- (fabs x) (* -1 x))) x)
(copysign (log (- (fabs x) (* -1 x))) x)
(copysign (log (- (fabs x) (* -1 x))) x)
(log (fabs x))
(+ (log (fabs x)) (/ x (fabs x)))
(+ (log (fabs x)) (* x (+ (* -1/2 (/ x (pow (fabs x) 2))) (/ 1 (fabs x)))))
(+ (log (fabs x)) (* x (+ (* x (- (* 1/3 (/ x (pow (fabs x) 3))) (* 1/2 (/ 1 (pow (fabs x) 2))))) (/ 1 (fabs x)))))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow (fabs x) 2) (pow x 2))) (/ (fabs x) x)))
(+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow (fabs x) 2) (pow x 2))) (+ (* 1/3 (/ (pow (fabs x) 3) (pow x 3))) (/ (fabs x) x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ (fabs x) x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* 1/2 (/ (pow (fabs x) 2) x))) x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1/2 (pow (fabs x) 2)) (* 1/3 (/ (pow (fabs x) 3) x))) x))) x))))
(fabs x)
(+ x (fabs x))
(+ x (fabs x))
(+ x (fabs x))
x
(* x (+ 1 (/ (fabs x) x)))
(* x (+ 1 (/ (fabs x) x)))
(* x (+ 1 (/ (fabs x) x)))
x
(* -1 (* x (- (* -1 (/ (fabs x) x)) 1)))
(* -1 (* x (- (* -1 (/ (fabs x) x)) 1)))
(* -1 (* x (- (* -1 (/ (fabs x) x)) 1)))
(log (+ 1 (fabs x)))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (+ 1 (fabs x)) 2))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (- (* 1/24 (/ (pow x 2) (pow (+ 1 (fabs x)) 3))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ (log 1/2) (* -2 (log (/ 1 x))))
(+ (log 1/2) (+ (* -2 (log (/ 1 x))) (* 2 (/ (+ 1 (fabs x)) (pow x 2)))))
(+ (log 1/2) (+ (* -2 (log (/ 1 x))) (+ (* -2 (/ (pow (+ 1 (fabs x)) 2) (pow x 4))) (* 2 (/ (+ 1 (fabs x)) (pow x 2))))))
(+ (log 1/2) (+ (* -2 (log (/ 1 x))) (+ (* -2 (/ (pow (+ 1 (fabs x)) 2) (pow x 4))) (+ (* 2 (/ (+ 1 (fabs x)) (pow x 2))) (* 8/3 (/ (pow (+ 1 (fabs x)) 3) (pow x 6)))))))
(+ (log 1/2) (* -2 (log (/ -1 x))))
(+ (log 1/2) (+ (* -2 (log (/ -1 x))) (* 2 (/ (+ 1 (fabs x)) (pow x 2)))))
(+ (log 1/2) (+ (* -2 (log (/ -1 x))) (+ (* -2 (/ (pow (+ 1 (fabs x)) 2) (pow x 4))) (* 2 (/ (+ 1 (fabs x)) (pow x 2))))))
(+ (log 1/2) (+ (* -2 (log (/ -1 x))) (+ (* -2 (/ (pow (+ 1 (fabs x)) 2) (pow x 4))) (+ (* 2 (/ (+ 1 (fabs x)) (pow x 2))) (* 8/3 (/ (pow (+ 1 (fabs x)) 3) (pow x 6)))))))
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(+ 1 (fabs x))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (+ (/ 1 (pow x 2)) (/ (fabs x) (pow x 2)))))
(* (pow x 2) (+ 1/2 (+ (/ 1 (pow x 2)) (/ (fabs x) (pow x 2)))))
(* (pow x 2) (+ 1/2 (+ (/ 1 (pow x 2)) (/ (fabs x) (pow x 2)))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (+ (/ 1 (pow x 2)) (/ (fabs x) (pow x 2)))))
(* (pow x 2) (+ 1/2 (+ (/ 1 (pow x 2)) (/ (fabs x) (pow x 2)))))
(* (pow x 2) (+ 1/2 (+ (/ 1 (pow x 2)) (/ (fabs x) (pow x 2)))))
(fabs x)
(+ (fabs x) (* 1/2 (pow x 2)))
(+ (fabs x) (* 1/2 (pow x 2)))
(+ (fabs x) (* 1/2 (pow x 2)))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2))))
(* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2))))
(* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2))))
(* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2))))
(* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2))))
(copysign (log (+ x (+ (fabs x) (* 1/2 (/ 1 x))))) x)
(copysign (log (+ x (+ (fabs x) (* 1/2 (/ 1 x))))) x)
(copysign (log (+ x (+ (fabs x) (* 1/2 (/ 1 x))))) x)
(copysign (log (+ x (+ (fabs x) (* 1/2 (/ 1 x))))) x)
(copysign (log (+ x (+ (fabs x) (* 1/2 (/ 1 x))))) x)
(copysign (log (+ x (+ (fabs x) (* 1/2 (/ 1 x))))) x)
(copysign (log (+ x (+ (fabs x) (* 1/2 (/ 1 x))))) x)
(copysign (log (+ x (+ (fabs x) (* 1/2 (/ 1 x))))) x)
(copysign (log (- (+ (fabs x) (* 1/2 (/ 1 x))) (* -1 x))) x)
(copysign (log (- (+ (fabs x) (* 1/2 (/ 1 x))) (* -1 x))) x)
(copysign (log (- (+ (fabs x) (* 1/2 (/ 1 x))) (* -1 x))) x)
(copysign (log (- (+ (fabs x) (* 1/2 (/ 1 x))) (* -1 x))) x)
(+ (log 1/2) (* -1 (log x)))
(+ (log 1/2) (+ (* -1 (log x)) (* 2 (* x (fabs x)))))
(+ (log 1/2) (+ (* -1 (log x)) (* x (+ (* 1/2 (* x (+ 4 (* -4 (pow (fabs x) 2))))) (* 2 (fabs x))))))
(+ (log 1/2) (+ (* -1 (log x)) (* x (+ (* 2 (fabs x)) (* x (+ (* 1/6 (* x (+ (* -24 (fabs x)) (* 16 (pow (fabs x) 3))))) (* 1/2 (+ 4 (* -4 (pow (fabs x) 2))))))))))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ (fabs x) x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1/6 (/ (+ (* -2 (pow (fabs x) 3)) (* 3 (fabs x))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x))))
(/ 1/2 x)
(/ (+ 1/2 (* x (fabs x))) x)
(/ (+ 1/2 (* x (+ x (fabs x)))) x)
(/ (+ 1/2 (* x (+ x (fabs x)))) x)
x
(* x (+ 1 (/ (fabs x) x)))
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))
x
(* -1 (* x (- (* -1 (/ (fabs x) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (fabs x) (* 1/2 (/ 1 x))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (fabs x) (* 1/2 (/ 1 x))) x)) 1)))
(copysign (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) x)
(copysign (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) x)
(copysign (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) x)
(copysign (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) x)
(copysign (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) x)
(copysign (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) x)
(copysign (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) x)
(copysign (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) x)
(copysign (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) x)
(copysign (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) x)
(copysign (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) x)
(copysign (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) x)
(log (+ 1 (fabs x)))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(* 1/2 (/ (pow x 2) (+ 1 (fabs x))))
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2))))
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2))))
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2))))
(* 1/2 (/ (pow x 2) (+ 1 (fabs x))))
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2))))
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2))))
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs 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)
(pow x 2)
(/ 1/2 (+ 1 (fabs x)))
(/ 1/2 (+ 1 (fabs x)))
(/ 1/2 (+ 1 (fabs x)))
(/ 1/2 (+ 1 (fabs x)))
(/ 1/2 (+ 1 (fabs x)))
(/ 1/2 (+ 1 (fabs x)))
(/ 1/2 (+ 1 (fabs x)))
(/ 1/2 (+ 1 (fabs x)))
(/ 1/2 (+ 1 (fabs x)))
(/ 1/2 (+ 1 (fabs x)))
(/ 1/2 (+ 1 (fabs x)))
(/ 1/2 (+ 1 (fabs 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)
(/ 1/2 x)
(/ (+ 1/2 (pow x 2)) x)
(/ (+ 1/2 (pow x 2)) x)
(/ (+ 1/2 (pow x 2)) x)
x
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
x
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))

Outputs
(copysign (log (+ 1 (fabs x))) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(copysign (log (+ x (fabs x))) x)
(copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x)
(copysign (log (+ x (fabs x))) x)
(copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x)
(copysign (log (+ x (fabs x))) x)
(copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x)
(copysign (log (+ x (fabs x))) x)
(copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x)
(copysign (log (+ x (fabs x))) x)
(copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x)
(copysign (log (+ x (fabs x))) x)
(copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x)
(copysign (log (+ x (fabs x))) x)
(copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x)
(copysign (log (+ x (fabs x))) x)
(copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x)
(copysign (log (- (fabs x) (* -1 x))) x)
(copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x)
(copysign (log (- (fabs x) (* -1 x))) x)
(copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x)
(copysign (log (- (fabs x) (* -1 x))) x)
(copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x)
(copysign (log (- (fabs x) (* -1 x))) x)
(copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x)
(log (fabs x))
(log.f64 (fabs.f64 x))
(+ (log (fabs x)) (/ x (fabs x)))
(+.f64 (log.f64 (fabs.f64 x)) (/.f64 x (fabs.f64 x)))
(+ (log (fabs x)) (* x (+ (* -1/2 (/ x (pow (fabs x) 2))) (/ 1 (fabs x)))))
(+.f64 (log.f64 (fabs.f64 x)) (+.f64 #s(literal -1/2 binary64) (/.f64 x (fabs.f64 x))))
(+ (log (fabs x)) (* x (+ (* x (- (* 1/3 (/ x (pow (fabs x) 3))) (* 1/2 (/ 1 (pow (fabs x) 2))))) (/ 1 (fabs x)))))
(+.f64 (fma.f64 x (*.f64 (/.f64 #s(literal 1/3 binary64) (fabs.f64 x)) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (+.f64 (log.f64 (fabs.f64 x)) (/.f64 x (fabs.f64 x))))
(* -1 (log (/ 1 x)))
(log.f64 x)
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x))
(+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow (fabs x) 2) (pow x 2))) (/ (fabs x) x)))
(+.f64 #s(literal -1/2 binary64) (+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x)))
(+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow (fabs x) 2) (pow x 2))) (+ (* 1/3 (/ (pow (fabs x) 3) (pow x 3))) (/ (fabs x) x))))
(+.f64 (log.f64 x) (+.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 1/3 binary64) (/.f64 (fabs.f64 x) x) (/.f64 (fabs.f64 x) x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ (fabs x) x)))
(-.f64 (/.f64 (fabs.f64 x) x) (-.f64 (neg.f64 (log.f64 (neg.f64 x))) (log.f64 #s(literal -1 binary64))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* 1/2 (/ (pow (fabs x) 2) x))) x))))
(-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x x) x) (fabs.f64 x)) x) (-.f64 (neg.f64 (log.f64 (neg.f64 x))) (log.f64 #s(literal -1 binary64))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1/2 (pow (fabs x) 2)) (* 1/3 (/ (pow (fabs x) 3) x))) x))) x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (-.f64 (/.f64 (+.f64 (fabs.f64 x) (-.f64 (.f64 (fabs.f64 x) #s(literal 1/3 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 x x)) x))) x) (neg.f64 (log.f64 (neg.f64 x)))))
(fabs x)
(fabs.f64 x)
(+ x (fabs x))
(+.f64 x (fabs.f64 x))
(+ x (fabs x))
(+.f64 x (fabs.f64 x))
(+ x (fabs x))
(+.f64 x (fabs.f64 x))
x
(* x (+ 1 (/ (fabs x) x)))
(fma.f64 x (/.f64 (fabs.f64 x) x) x)
(* x (+ 1 (/ (fabs x) x)))
(fma.f64 x (/.f64 (fabs.f64 x) x) x)
(* x (+ 1 (/ (fabs x) x)))
(fma.f64 x (/.f64 (fabs.f64 x) x) x)
x
(* -1 (* x (- (* -1 (/ (fabs x) x)) 1)))
(fma.f64 x (/.f64 (fabs.f64 x) x) x)
(* -1 (* x (- (* -1 (/ (fabs x) x)) 1)))
(fma.f64 x (/.f64 (fabs.f64 x) x) x)
(* -1 (* x (- (* -1 (/ (fabs x) x)) 1)))
(fma.f64 x (/.f64 (fabs.f64 x) x) x)
(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(fma.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (log1p.f64 (fabs.f64 x)))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (+ 1 (fabs x)) 2))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x #s(literal -1/8 binary64)) (/.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (log1p.f64 (fabs.f64 x)))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (- (* 1/24 (/ (pow x 2) (pow (+ 1 (fabs x)) 3))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (/.f64 #s(literal 1/24 binary64) (.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (/.f64 #s(literal -1/8 binary64) (.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (log1p.f64 (fabs.f64 x)))
(+ (log 1/2) (* -2 (log (/ 1 x))))
(fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 1/2 binary64)))
(+ (log 1/2) (+ (* -2 (log (/ 1 x))) (* 2 (/ (+ 1 (fabs x)) (pow x 2)))))
(fma.f64 #s(literal 2 binary64) (+.f64 (log.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 x x))) (log.f64 #s(literal 1/2 binary64)))
(+ (log 1/2) (+ (* -2 (log (/ 1 x))) (+ (* -2 (/ (pow (+ 1 (fabs x)) 2) (pow x 4))) (* 2 (/ (+ 1 (fabs x)) (pow x 2))))))
(fma.f64 (fma.f64 (fabs.f64 x) #s(literal -2 binary64) #s(literal -2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 #s(literal 2 binary64) (+.f64 (log.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 x x))) (log.f64 #s(literal 1/2 binary64))))
(+ (log 1/2) (+ (* -2 (log (/ 1 x))) (+ (* -2 (/ (pow (+ 1 (fabs x)) 2) (pow x 4))) (+ (* 2 (/ (+ 1 (fabs x)) (pow x 2))) (* 8/3 (/ (pow (+ 1 (fabs x)) 3) (pow x 6)))))))
(fma.f64 (fma.f64 (fabs.f64 x) #s(literal 8/3 binary64) #s(literal 8/3 binary64)) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (fma.f64 (fabs.f64 x) #s(literal -2 binary64) #s(literal -2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 #s(literal 2 binary64) (+.f64 (log.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 x x))) (log.f64 #s(literal 1/2 binary64)))))
(+ (log 1/2) (* -2 (log (/ -1 x))))
(fma.f64 (neg.f64 (log.f64 (neg.f64 x))) #s(literal -2 binary64) (log.f64 #s(literal 1/2 binary64)))
(+ (log 1/2) (+ (* -2 (log (/ -1 x))) (* 2 (/ (+ 1 (fabs x)) (pow x 2)))))
(+.f64 (/.f64 (fma.f64 (fabs.f64 x) #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 x x)) (fma.f64 (neg.f64 (log.f64 (neg.f64 x))) #s(literal -2 binary64) (log.f64 #s(literal 1/2 binary64))))
(+ (log 1/2) (+ (* -2 (log (/ -1 x))) (+ (* -2 (/ (pow (+ 1 (fabs x)) 2) (pow x 4))) (* 2 (/ (+ 1 (fabs x)) (pow x 2))))))
(+.f64 (/.f64 (fma.f64 (fabs.f64 x) #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 x x)) (fma.f64 #s(literal -2 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 x (.f64 x (.f64 x x)))) (neg.f64 (log.f64 (neg.f64 x)))) (log.f64 #s(literal 1/2 binary64))))
(+ (log 1/2) (+ (* -2 (log (/ -1 x))) (+ (* -2 (/ (pow (+ 1 (fabs x)) 2) (pow x 4))) (+ (* 2 (/ (+ 1 (fabs x)) (pow x 2))) (* 8/3 (/ (pow (+ 1 (fabs x)) 3) (pow x 6)))))))
(+.f64 (fma.f64 (fma.f64 (fabs.f64 x) #s(literal 8/3 binary64) #s(literal 8/3 binary64)) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (pow.f64 x #s(literal 6 binary64))) (/.f64 (fma.f64 (fabs.f64 x) #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 x x))) (fma.f64 #s(literal -2 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 x (.f64 x (*.f64 x x)))) (neg.f64 (log.f64 (neg.f64 x)))) (log.f64 #s(literal 1/2 binary64))))
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x)
(+ 1 (fabs x))
(+.f64 #s(literal 1 binary64) (fabs.f64 x))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(* 1/2 (pow x 2))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(* (pow x 2) (+ 1/2 (+ (/ 1 (pow x 2)) (/ (fabs x) (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(* (pow x 2) (+ 1/2 (+ (/ 1 (pow x 2)) (/ (fabs x) (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(* (pow x 2) (+ 1/2 (+ (/ 1 (pow x 2)) (/ (fabs x) (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(* 1/2 (pow x 2))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(* (pow x 2) (+ 1/2 (+ (/ 1 (pow x 2)) (/ (fabs x) (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(* (pow x 2) (+ 1/2 (+ (/ 1 (pow x 2)) (/ (fabs x) (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(* (pow x 2) (+ 1/2 (+ (/ 1 (pow x 2)) (/ (fabs x) (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(fabs x)
(fabs.f64 x)
(+ (fabs x) (* 1/2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))
(+ (fabs x) (* 1/2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))
(+ (fabs x) (* 1/2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))
(* 1/2 (pow x 2))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2))))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))
(* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2))))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))
(* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2))))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))
(* 1/2 (pow x 2))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2))))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))
(* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2))))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))
(* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2))))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))
(copysign (log (+ x (+ (fabs x) (* 1/2 (/ 1 x))))) x)
(copysign.f64 (log.f64 (+.f64 x (+.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) x)))) x)
(copysign (log (+ x (+ (fabs x) (* 1/2 (/ 1 x))))) x)
(copysign.f64 (log.f64 (+.f64 x (+.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) x)))) x)
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(copysign.f64 (log.f64 (+.f64 x (+.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) x)))) x)
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(copysign.f64 (log.f64 (+.f64 x (+.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) x)))) x)
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(copysign.f64 (log.f64 (+.f64 x (+.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) x)))) x)
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(copysign.f64 (log.f64 (+.f64 x (+.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) x)))) x)
(copysign (log (+ x (+ (fabs x) (* 1/2 (/ 1 x))))) x)
(copysign.f64 (log.f64 (+.f64 x (+.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) x)))) x)
(copysign (log (+ x (+ (fabs x) (* 1/2 (/ 1 x))))) x)
(copysign.f64 (log.f64 (+.f64 x (+.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) x)))) x)
(copysign (log (- (+ (fabs x) (* 1/2 (/ 1 x))) (* -1 x))) x)
(copysign.f64 (log.f64 (+.f64 x (+.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) x)))) x)
(copysign (log (- (+ (fabs x) (* 1/2 (/ 1 x))) (* -1 x))) x)
(copysign.f64 (log.f64 (+.f64 x (+.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) x)))) x)
(copysign (log (- (+ (fabs x) (* 1/2 (/ 1 x))) (* -1 x))) x)
(copysign.f64 (log.f64 (+.f64 x (+.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) x)))) x)
(copysign (log (- (+ (fabs x) (* 1/2 (/ 1 x))) (* -1 x))) x)
(copysign.f64 (log.f64 (+.f64 x (+.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) x)))) x)
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(-.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 x))
(+ (log 1/2) (+ (* -1 (log x)) (* 2 (* x (fabs x)))))
(-.f64 (fma.f64 x (*.f64 (fabs.f64 x) #s(literal 2 binary64)) (log.f64 #s(literal 1/2 binary64))) (log.f64 x))
(+ (log 1/2) (+ (* -1 (log x)) (* x (+ (* 1/2 (* x (+ 4 (* -4 (pow (fabs x) 2))))) (* 2 (fabs x))))))
(-.f64 (fma.f64 x (fma.f64 x (fma.f64 x (.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)) (.f64 (fabs.f64 x) #s(literal 2 binary64))) (log.f64 #s(literal 1/2 binary64))) (log.f64 x))
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(fma.f64 x (fma.f64 x (fma.f64 (.f64 (fabs.f64 x) (fma.f64 x (.f64 x #s(literal 16 binary64)) #s(literal -24 binary64))) (.f64 x #s(literal 1/6 binary64)) (fma.f64 x (.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))) (*.f64 (fabs.f64 x) #s(literal 2 binary64))) (-.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 x)))
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(fma.f64 (.f64 (fabs.f64 x) (fma.f64 x (.f64 x #s(literal 2 binary64)) #s(literal -3 binary64))) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) (+.f64 (log.f64 x) (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (/.f64 (fabs.f64 x) x))))
(+ (log -1) (* -1 (log (/ -1 x))))
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(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ (fabs x) x)))
(-.f64 (/.f64 (fabs.f64 x) x) (-.f64 (neg.f64 (log.f64 (neg.f64 x))) (log.f64 #s(literal -1 binary64))))
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x
(* x (+ 1 (/ (fabs x) x)))
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(fma.f64 x (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) x) (fabs.f64 x)) (neg.f64 x)) x)
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(fma.f64 x (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) x) (fabs.f64 x)) (neg.f64 x)) x)
x
(* -1 (* x (- (* -1 (/ (fabs x) x)) 1)))
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(fma.f64 x (/.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) x)) x) x)
(* -1 (* x (- (* -1 (/ (+ (fabs x) (* 1/2 (/ 1 x))) x)) 1)))
(fma.f64 x (/.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) x)) x) x)
(copysign (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) x)
(copysign.f64 (fma.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (log1p.f64 (fabs.f64 x))) x)
(copysign (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) x)
(copysign.f64 (fma.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (log1p.f64 (fabs.f64 x))) x)
(copysign (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) x)
(copysign.f64 (fma.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (log1p.f64 (fabs.f64 x))) x)
(copysign (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) x)
(copysign.f64 (fma.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (log1p.f64 (fabs.f64 x))) x)
(copysign (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) x)
(copysign.f64 (fma.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (log1p.f64 (fabs.f64 x))) x)
(copysign (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) x)
(copysign.f64 (fma.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (log1p.f64 (fabs.f64 x))) x)
(copysign (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) x)
(copysign.f64 (fma.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (log1p.f64 (fabs.f64 x))) x)
(copysign (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) x)
(copysign.f64 (fma.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (log1p.f64 (fabs.f64 x))) x)
(copysign (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) x)
(copysign.f64 (fma.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (log1p.f64 (fabs.f64 x))) x)
(copysign (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) x)
(copysign.f64 (fma.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (log1p.f64 (fabs.f64 x))) x)
(copysign (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) x)
(copysign.f64 (fma.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (log1p.f64 (fabs.f64 x))) x)
(copysign (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) x)
(copysign.f64 (fma.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (log1p.f64 (fabs.f64 x))) x)
(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(fma.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (log1p.f64 (fabs.f64 x)))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(fma.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (log1p.f64 (fabs.f64 x)))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(fma.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (log1p.f64 (fabs.f64 x)))
(* 1/2 (/ (pow x 2) (+ 1 (fabs x))))
(.f64 x (.f64 x (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))))
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2))))
(fma.f64 (log1p.f64 (fabs.f64 x)) #s(literal 1 binary64) (.f64 x (.f64 x (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))))
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2))))
(fma.f64 (log1p.f64 (fabs.f64 x)) #s(literal 1 binary64) (.f64 x (.f64 x (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))))
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2))))
(fma.f64 (log1p.f64 (fabs.f64 x)) #s(literal 1 binary64) (.f64 x (.f64 x (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))))
(* 1/2 (/ (pow x 2) (+ 1 (fabs x))))
(.f64 x (.f64 x (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))))
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2))))
(fma.f64 (log1p.f64 (fabs.f64 x)) #s(literal 1 binary64) (.f64 x (.f64 x (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))))
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2))))
(fma.f64 (log1p.f64 (fabs.f64 x)) #s(literal 1 binary64) (.f64 x (.f64 x (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))))
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2))))
(fma.f64 (log1p.f64 (fabs.f64 x)) #s(literal 1 binary64) (.f64 x (.f64 x (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(/ 1/2 (+ 1 (fabs x)))
(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(/ 1/2 (+ 1 (fabs x)))
(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(/ 1/2 (+ 1 (fabs x)))
(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(/ 1/2 (+ 1 (fabs x)))
(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(/ 1/2 (+ 1 (fabs x)))
(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(/ 1/2 (+ 1 (fabs x)))
(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
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(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
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(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
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(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(/ 1/2 (+ 1 (fabs x)))
(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (pow x 2)) x)
(/.f64 (fma.f64 x x #s(literal 1/2 binary64)) x)
(/ (+ 1/2 (pow x 2)) x)
(/.f64 (fma.f64 x x #s(literal 1/2 binary64)) x)
(/ (+ 1/2 (pow x 2)) x)
(/.f64 (fma.f64 x x #s(literal 1/2 binary64)) x)
x
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)
x
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)

eval228.0ms (2.3%)

Memory: 0.1MiB live, 110.7MiB allocated
Compiler: Compiled 20 451 to 2 601 computations (87.3% saved)

prune112.0ms (1.1%)

Memory

6.0MiB live, 103.9MiB allocated

Pruning

18 alts after pruning (11 fresh and 7 done)

	Pruned	Kept	Total
New	859	4	863
Fresh	0	7	7
Picked	1	4	5
Done	0	3	3
Total	860	18	878

Accuracy

99.7%

Counts

878 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.6%	(copysign.f64 (fma.f64 x (.f64 x (fma.f64 #s(literal -1/24 binary64) (.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (log1p.f64 (fabs.f64 x))) x)
	50.4%	(copysign.f64 (-.f64 (log1p.f64 (neg.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) (fabs.f64 x)) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) (fabs.f64 x))))) (log1p.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) (fabs.f64 x))))) x)
▶	58.9%	(copysign.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)))) (log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) x)
▶	18.0%	(copysign.f64 (-.f64 (log.f64 (fabs.f64 x)) (/.f64 x (fabs.f64 x))) x)
▶	6.1%	(copysign.f64 (.f64 x (.f64 x (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) x)
▶	27.4%	(copysign.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) x)
	26.5%	(copysign.f64 (neg.f64 (log.f64 (*.f64 (/.f64 (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))))))) x)
	55.4%	(copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x)
✓	64.9%	(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
▶	26.2%	(copysign.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) x)
✓	26.2%	(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x)
	25.0%	(copysign.f64 (log.f64 (+.f64 (-.f64 (fabs.f64 x) x) (/.f64 #s(literal -1/2 binary64) x))) x)
✓	27.4%	(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
✓	27.1%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (+.f64 x (/.f64 #s(literal 1/2 binary64) x)))) x)
	19.5%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x)
✓	27.5%	(copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x)
✓	9.4%	(copysign.f64 (log.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)))) x)
✓	9.2%	(copysign.f64 (log.f64 x) x)

Compiler

Compiled 512 to 262 computations (48.8% saved)

simplify384.0ms (3.9%)

Memory

-19.1MiB live, 98.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
✓	cost-diff	0	(copysign.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) x)
✓	cost-diff	256	(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
✓	cost-diff	576	(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
✓	cost-diff	0	(fabs.f64 x)
✓	cost-diff	0	(log.f64 (fabs.f64 x))
✓	cost-diff	0	(-.f64 (log.f64 (fabs.f64 x)) (/.f64 x (fabs.f64 x)))
✓	cost-diff	0	(copysign.f64 (-.f64 (log.f64 (fabs.f64 x)) (/.f64 x (fabs.f64 x))) x)
✓	cost-diff	0	(/.f64 #s(literal 1/2 binary64) x)
✓	cost-diff	0	(log.f64 (/.f64 #s(literal 1/2 binary64) x))
✓	cost-diff	0	(copysign.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) x)
✓	cost-diff	0	(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
✓	cost-diff	0	(*.f64 x (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))
✓	cost-diff	0	(.f64 x (.f64 x (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))))
✓	cost-diff	0	(copysign.f64 (.f64 x (.f64 x (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) x)
✓	cost-diff	0	(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))))
✓	cost-diff	0	(-.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)))) (log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
✓	cost-diff	0	(copysign.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)))) (log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) x)
✓	cost-diff	64	(fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))

Rules

3 312×	`lower-fma.f32`
3 306×	`lower-fma.f64`
1 568×	`lower-*.f32`
1 558×	`lower-*.f64`
944×	`unsub-neg`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	33	322
0	65	309
1	96	305
2	146	305
3	238	305
4	396	301
5	622	301
6	1120	301
7	1801	301
8	2865	301
9	3700	301
10	4123	301
11	4176	301
12	4189	301
13	4198	301
14	4354	301
15	4446	301
16	4461	301
17	4473	301
18	4475	301
19	4475	301
20	4478	301
0	4478	301

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(copysign.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)))) (log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (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)))) (log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
(log.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (.f64 x (.f64 x x))))
(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 x x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(.f64 x (.f64 x x))
(*.f64 x x)
(log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(fabs.f64 x)
(-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(copysign.f64 (.f64 x (.f64 x (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) x)
(.f64 x (.f64 x (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))))
x
(*.f64 x (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))
(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
#s(literal 1/2 binary64)
(+.f64 #s(literal 1 binary64) (fabs.f64 x))
#s(literal 1 binary64)
(fabs.f64 x)
(copysign.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) x)
(log.f64 (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(copysign.f64 (-.f64 (log.f64 (fabs.f64 x)) (/.f64 x (fabs.f64 x))) x)
(-.f64 (log.f64 (fabs.f64 x)) (/.f64 x (fabs.f64 x)))
(log.f64 (fabs.f64 x))
(fabs.f64 x)
x
(/.f64 x (fabs.f64 x))
(copysign.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) x)
(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
#s(literal 1 binary64)
(+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(fabs.f64 x)
x
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x x #s(literal 1 binary64))

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

localize375.0ms (3.8%)

Memory

19.6MiB live, 336.6MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
✓	accuracy	86.9%	(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
✓	accuracy	74.9%	(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
✓	accuracy	100.0%	(/.f64 x (fabs.f64 x))
✓	accuracy	100.0%	(log.f64 (fabs.f64 x))
✓	accuracy	100.0%	(fabs.f64 x)
✓	accuracy	100.0%	(-.f64 (log.f64 (fabs.f64 x)) (/.f64 x (fabs.f64 x)))
✓	accuracy	100.0%	(copysign.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) x)
✓	accuracy	100.0%	(/.f64 #s(literal 1/2 binary64) x)
✓	accuracy	100.0%	(log.f64 (/.f64 #s(literal 1/2 binary64) x))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (fabs.f64 x))
✓	accuracy	100.0%	(fabs.f64 x)
✓	accuracy	100.0%	(.f64 x (.f64 x (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))))
✓	accuracy	99.9%	(*.f64 x (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))
✓	accuracy	86.9%	(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
✓	accuracy	86.4%	(log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
✓	accuracy	76.8%	(-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
✓	accuracy	74.4%	(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))))

Samples

117.0ms	29×	2	valid
101.0ms	100×	1	valid
69.0ms	122×	0	invalid
1.0ms	5×	0	valid

Compiler

Compiled 361 to 36 computations (90% saved)

Precisions

Click to see histograms. Total time spent on operations: 263.0ms

ival-log: 96.0ms (36.5% of total)

adjust: 54.0ms (20.5% of total)

ival-add: 43.0ms (16.4% of total)

ival-div: 27.0ms (10.3% of total)

ival-mult: 11.0ms (4.2% of total)

ival-copysign: 11.0ms (4.2% of total)

ival-hypot: 8.0ms (3% of total)

ival-sub: 6.0ms (2.3% of total)

ival-log1p: 4.0ms (1.5% of total)

ival-neg: 2.0ms (0.8% of total)

ival-fabs: 1.0ms (0.4% of total)

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

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

exact: 0.0ms (0% of total)

series287.0ms (2.9%)

Memory

-22.9MiB live, 298.4MiB allocated

Counts

25 → 300

Calls

Call 1

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

Outputs
#<alt (* (fabs x) (- (fabs x) 1))>
#<alt (+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (* -1/2 (fabs x)))))>
#<alt (+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (+ (* -1/2 (fabs x)) (* 1/8 (* (pow x 2) (fabs x)))))))>
#<alt (+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (+ (* -1/2 (fabs x)) (* (pow x 2) (+ (* -1/16 (* (pow x 2) (fabs x))) (* 1/8 (fabs x))))))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (fabs x) x))))>
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#<alt (* x (- (/ (fabs x) x) 1))>
#<alt (* x (- (/ (fabs x) x) (+ 1 (/ 1/2 (pow x 2)))))>
#<alt (* x (- (+ (* 1/8 (/ 1 (pow x 4))) (/ (fabs x) x)) (+ 1 (/ 1/2 (pow x 2)))))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (fabs x) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (+ (fabs x) (* 1/2 (/ 1 x))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (+ (fabs x) (* -1 (/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x))) x)) 1)))>
#<alt (log (+ 1 (* (fabs x) (- (fabs x) 1))))>
#<alt (+ (log (+ 1 (* (fabs x) (- (fabs x) 1)))) (/ (* (pow x 2) (+ 1 (* -1/2 (fabs x)))) (+ 1 (* (fabs x) (- (fabs x) 1)))))>
#<alt (+ (log (+ 1 (* (fabs x) (- (fabs x) 1)))) (* (pow x 2) (+ (* -1/2 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* 1/24 (* (pow x 2) (+ (* -12 (/ (pow (+ 1 (* -1/2 (fabs x))) 2) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (* 3 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1)))))))) (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))))))>
#<alt (+ (log (+ 1 (* (fabs x) (- (fabs x) 1)))) (* (pow x 2) (+ (* -1/2 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* (pow x 2) (+ (* 1/720 (* (pow x 2) (+ (* -90 (/ (* (fabs x) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (+ (* -45 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))) (* 240 (/ (pow (+ 1 (* -1/2 (fabs x))) 3) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 3))))))) (* 1/24 (+ (* -12 (/ (pow (+ 1 (* -1/2 (fabs x))) 2) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (* 3 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))))))) (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))))))>
#<alt (* -2 (log (/ 1 x)))>
#<alt (+ (* -2 (log (/ 1 x))) (* -1 (/ (fabs x) x)))>
#<alt (+ (* -2 (log (/ 1 x))) (+ (* -1 (/ (fabs x) x)) (* 1/2 (/ (+ (* -1 (pow (fabs x) 2)) (* 2 (+ 1 (pow (fabs x) 2)))) (pow x 2)))))>
#<alt (+ (* -2 (log (/ 1 x))) (+ (* -1 (/ (fabs x) x)) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (+ (* -2 (pow (fabs x) 3)) (* 6 (* (fabs x) (+ 1 (pow (fabs x) 2)))))) (pow x 3))) (* 1/2 (/ (+ (* -1 (pow (fabs x) 2)) (* 2 (+ 1 (pow (fabs x) 2)))) (pow x 2))))))>
#<alt (* -2 (log (/ -1 x)))>
#<alt (+ (* -2 (log (/ -1 x))) (/ (fabs x) x))>
#<alt (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* -1/2 (/ (+ (* -1 (pow (fabs x) 2)) (* 2 (+ 1 (pow (fabs x) 2)))) x))) x)))>
#<alt (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (+ (* -2 (pow (fabs x) 3)) (* 6 (* (fabs x) (+ 1 (pow (fabs x) 2)))))) x)) (* 1/2 (+ (* -1 (pow (fabs x) 2)) (* 2 (+ 1 (pow (fabs x) 2)))))) x))) 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 (fabs x))>
#<alt (+ 1 (fabs x))>
#<alt (+ 1 (fabs x))>
#<alt (+ 1 (fabs x))>
#<alt (+ 1 (fabs x))>
#<alt (+ 1 (fabs x))>
#<alt (+ 1 (fabs x))>
#<alt (+ 1 (fabs x))>
#<alt (+ 1 (fabs x))>
#<alt (+ 1 (fabs x))>
#<alt (+ 1 (fabs x))>
#<alt (+ 1 (fabs x))>
#<alt (/ x (fabs x))>
#<alt (/ x (fabs x))>
#<alt (/ x (fabs x))>
#<alt (/ x (fabs x))>
#<alt (/ x (fabs x))>
#<alt (/ x (fabs x))>
#<alt (/ x (fabs x))>
#<alt (/ x (fabs x))>
#<alt (/ x (fabs x))>
#<alt (/ x (fabs x))>
#<alt (/ x (fabs x))>
#<alt (/ x (fabs x))>
#<alt (+ 1 (fabs x))>
#<alt (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))>
#<alt (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))>
#<alt (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))>
#<alt x>
#<alt (* x (+ 1 (/ (fabs x) x)))>
#<alt (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))>
#<alt (* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))>

Calls

75 calls:

Time	Variable		Point	Expression
98.0ms	x	@	inf	(log (fabs x))
57.0ms	x	@	0	(log (fabs x))
14.0ms	x	@	-inf	(log (/ 1/2 x))
14.0ms	x	@	0	(log (/ 1/2 x))
11.0ms	x	@	-inf	(log (fabs x))

rewrite373.0ms (3.8%)

Memory

18.3MiB live, 729.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 760×	`lower-fma.f32`
5 754×	`lower-fma.f64`
4 172×	`lower-/.f32`
4 164×	`lower-/.f64`
4 096×	`lower-*.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	33	259
0	65	250
1	228	237
2	1646	234
0	9039	234

Stop Event

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

Counts

25 → 640

Calls

Call 1

Inputs
(fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(copysign.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)))) (log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (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)))) (log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
(log.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (.f64 x (.f64 x x))))
(copysign.f64 (.f64 x (.f64 x (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) x)
(.f64 x (.f64 x (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))))
(*.f64 x (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))
(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(copysign.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) x)
(log.f64 (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) x)
(copysign.f64 (-.f64 (log.f64 (fabs.f64 x)) (/.f64 x (fabs.f64 x))) x)
(-.f64 (log.f64 (fabs.f64 x)) (/.f64 x (fabs.f64 x)))
(log.f64 (fabs.f64 x))
(fabs.f64 x)
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(copysign.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) x)
(/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (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) (fabs.f64 x))
(/.f64 x (fabs.f64 x))
(+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))

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

simplify413.0ms (4.2%)

Memory

0.9MiB live, 796.6MiB allocated

Algorithm

1×	egg-herbie

Rules

11 502×	`lower-fma.f64`
11 502×	`lower-fma.f32`
5 732×	`lower-*.f64`
5 732×	`lower-*.f32`
4 202×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	604	4632
1	1848	4350
2	6096	4228
0	8502	3954

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 297

Calls

Call 1

Inputs
(* (fabs x) (- (fabs x) 1))
(+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (* -1/2 (fabs x)))))
(+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (+ (* -1/2 (fabs x)) (* 1/8 (* (pow x 2) (fabs x)))))))
(+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (+ (* -1/2 (fabs x)) (* (pow x 2) (+ (* -1/16 (* (pow x 2) (fabs x))) (* 1/8 (fabs x))))))))
(pow x 2)
(* (pow x 2) (+ 1 (* -1 (/ (fabs x) x))))
(* (pow x 2) (+ 1 (+ (* -1 (/ (fabs x) x)) (/ (pow (fabs x) 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* -1 (/ (fabs x) x)) (+ (* -1/2 (/ (fabs x) (pow x 3))) (/ (pow (fabs x) 2) (pow x 2))))))
(pow x 2)
(* (pow x 2) (+ 1 (/ (fabs x) x)))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (pow (fabs x) 2) x))) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* 1/2 (/ (fabs x) x)) (pow (fabs x) 2)) x))) x))))
(copysign (- (log (+ (sqrt (pow (+ 1 (pow x 2)) 3)) (pow x 3))) (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2))))) x)
(copysign (- (log (+ (sqrt (pow (+ 1 (pow x 2)) 3)) (pow x 3))) (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2))))) x)
(copysign (- (log (+ (sqrt (pow (+ 1 (pow x 2)) 3)) (pow x 3))) (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2))))) x)
(copysign (- (log (+ (sqrt (pow (+ 1 (pow x 2)) 3)) (pow x 3))) (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2))))) x)
(copysign (- (log (+ (sqrt (pow (+ 1 (pow x 2)) 3)) (pow x 3))) (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2))))) x)
(copysign (- (log (+ (sqrt (pow (+ 1 (pow x 2)) 3)) (pow x 3))) (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2))))) x)
(copysign (- (log (+ (sqrt (pow (+ 1 (pow x 2)) 3)) (pow x 3))) (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2))))) x)
(copysign (- (log (+ (sqrt (pow (+ 1 (pow x 2)) 3)) (pow x 3))) (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2))))) x)
(copysign (- (log (- (sqrt (pow (+ 1 (pow x 2)) 3)) (* -1 (pow x 3)))) (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2))))) x)
(copysign (- (log (- (sqrt (pow (+ 1 (pow x 2)) 3)) (* -1 (pow x 3)))) (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2))))) x)
(copysign (- (log (- (sqrt (pow (+ 1 (pow x 2)) 3)) (* -1 (pow x 3)))) (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2))))) x)
(copysign (- (log (- (sqrt (pow (+ 1 (pow x 2)) 3)) (* -1 (pow x 3)))) (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2))))) x)
(* -1 (log (+ 1 (* (fabs x) (- (fabs x) 1)))))
(- (* (pow x 2) (- 3/2 (+ (* -1/2 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))))) (log (+ 1 (* (fabs x) (- (fabs x) 1)))))
(- (* (pow x 2) (- (+ 3/2 x) (+ (* -1/2 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))))) (log (+ 1 (* (fabs x) (- (fabs x) 1)))))
(- (* (pow x 2) (- (+ 3/2 (* x (+ 1 (* -1 (* x (+ 3/4 (* 1/24 (+ (* -12 (/ (pow (+ 1 (* -1/2 (fabs x))) 2) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (* 3 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))))))))))) (+ (* -1/2 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))))) (log (+ 1 (* (fabs x) (- (fabs x) 1)))))
(- (+ (log 2) (* -3 (log (/ 1 x)))) (* -2 (log (/ 1 x))))
(- (+ (log 2) (+ (* -3 (log (/ 1 x))) (/ (fabs x) x))) (* -2 (log (/ 1 x))))
(- (+ (log 2) (+ (* -3 (log (/ 1 x))) (/ 3/4 (pow x 2)))) (+ (* -2 (log (/ 1 x))) (+ (* -1 (/ (fabs x) x)) (* 1/2 (/ (+ (* -1 (pow (fabs x) 2)) (* 2 (+ 1 (pow (fabs x) 2)))) (pow x 2))))))
(- (+ (log 2) (+ (* -3 (log (/ 1 x))) (+ (* -1/6 (/ (+ (* -3 (fabs x)) (+ (* -2 (pow (fabs x) 3)) (* 6 (* (fabs x) (+ 1 (pow (fabs x) 2)))))) (pow x 3))) (/ 3/4 (pow x 2))))) (+ (* -2 (log (/ 1 x))) (+ (* -1 (/ (fabs x) x)) (* 1/2 (/ (+ (* -1 (pow (fabs x) 2)) (* 2 (+ 1 (pow (fabs x) 2)))) (pow x 2))))))
(- (+ (log 3/2) (* -1 (log (/ -1 x)))) (* -2 (log (/ -1 x))))
(- (+ (log 3/2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))) (* -2 (log (/ -1 x))))
(- (+ (log 3/2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- 1/4 (* 1/2 (+ (* -1 (pow (fabs x) 2)) (* 2 (+ 1 (pow (fabs x) 2)))))) x)) (* -1 (fabs x))) x)))) (* -2 (log (/ -1 x))))
(- (+ (log 3/2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (+ 1/4 (* 1/6 (/ (+ (* -3 (fabs x)) (+ (* -2 (pow (fabs x) 3)) (* 6 (* (fabs x) (+ 1 (pow (fabs x) 2)))))) x))) (* 1/2 (+ (* -1 (pow (fabs x) 2)) (* 2 (+ 1 (pow (fabs x) 2)))))) x)) (* -1 (fabs x))) x)))) (* -2 (log (/ -1 x))))
(* 3/2 (pow x 2))
(* (pow x 2) (+ 3/2 x))
(* (pow x 2) (+ 3/2 (* x (+ 1 (* -3/4 x)))))
(* (pow x 2) (+ 3/2 (* x (+ 1 (* x (- (* -3/2 x) 3/4))))))
(+ (log 2) (* -3 (log (/ 1 x))))
(+ (log 2) (+ (* -3 (log (/ 1 x))) (* 3/4 (/ 1 (pow x 2)))))
(- (+ (log 2) (+ (* -3 (log (/ 1 x))) (* 3/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(+ (log 2) (+ (* -3 (log (/ 1 x))) (+ (* -1 (/ (+ 3/32 (* 1/32 (/ 1 (pow x 2)))) (pow x 4))) (* 3/4 (/ 1 (pow x 2))))))
(+ (log 3/2) (* -1 (log (/ -1 x))))
(+ (log 3/2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))))
(- (+ (log 3/2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 7/96 (pow x 4)))
(- (+ (log 3/2) (+ (* -1 (log (/ -1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/32 (/ 1 (pow x 6)))))) (/ 7/96 (pow x 4)))
(copysign (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) x)
(copysign (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) x)
(copysign (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) x)
(copysign (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) x)
(copysign (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) x)
(copysign (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) x)
(copysign (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) x)
(copysign (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) x)
(copysign (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) x)
(copysign (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) x)
(copysign (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) x)
(copysign (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) x)
(* 1/2 (/ (pow x 2) (+ 1 (fabs x))))
(* 1/2 (/ (pow x 2) (+ 1 (fabs x))))
(* 1/2 (/ (pow x 2) (+ 1 (fabs x))))
(* 1/2 (/ (pow x 2) (+ 1 (fabs x))))
(* 1/2 (/ (pow x 2) (+ 1 (fabs x))))
(* 1/2 (/ (pow x 2) (+ 1 (fabs x))))
(* 1/2 (/ (pow x 2) (+ 1 (fabs x))))
(* 1/2 (/ (pow x 2) (+ 1 (fabs x))))
(* 1/2 (/ (pow x 2) (+ 1 (fabs x))))
(* 1/2 (/ (pow x 2) (+ 1 (fabs x))))
(* 1/2 (/ (pow x 2) (+ 1 (fabs x))))
(* 1/2 (/ (pow x 2) (+ 1 (fabs x))))
(* 1/2 (/ x (+ 1 (fabs x))))
(* 1/2 (/ x (+ 1 (fabs x))))
(* 1/2 (/ x (+ 1 (fabs x))))
(* 1/2 (/ x (+ 1 (fabs x))))
(* 1/2 (/ x (+ 1 (fabs x))))
(* 1/2 (/ x (+ 1 (fabs x))))
(* 1/2 (/ x (+ 1 (fabs x))))
(* 1/2 (/ x (+ 1 (fabs x))))
(* 1/2 (/ x (+ 1 (fabs x))))
(* 1/2 (/ x (+ 1 (fabs x))))
(* 1/2 (/ x (+ 1 (fabs x))))
(* 1/2 (/ x (+ 1 (fabs x))))
(/ 1/2 (+ 1 (fabs x)))
(/ 1/2 (+ 1 (fabs x)))
(/ 1/2 (+ 1 (fabs x)))
(/ 1/2 (+ 1 (fabs x)))
(/ 1/2 (+ 1 (fabs x)))
(/ 1/2 (+ 1 (fabs x)))
(/ 1/2 (+ 1 (fabs x)))
(/ 1/2 (+ 1 (fabs x)))
(/ 1/2 (+ 1 (fabs x)))
(/ 1/2 (+ 1 (fabs x)))
(/ 1/2 (+ 1 (fabs x)))
(/ 1/2 (+ 1 (fabs x)))
(copysign (log (/ 1/2 x)) x)
(copysign (log (/ 1/2 x)) x)
(copysign (log (/ 1/2 x)) x)
(copysign (log (/ 1/2 x)) x)
(copysign (log (/ 1/2 x)) x)
(copysign (log (/ 1/2 x)) x)
(copysign (log (/ 1/2 x)) x)
(copysign (log (/ 1/2 x)) x)
(copysign (log (/ 1/2 x)) x)
(copysign (log (/ 1/2 x)) x)
(copysign (log (/ 1/2 x)) x)
(copysign (log (/ 1/2 x)) x)
(+ (log 1/2) (* -1 (log x)))
(+ (log 1/2) (* -1 (log x)))
(+ (log 1/2) (* -1 (log x)))
(+ (log 1/2) (* -1 (log x)))
(+ (log 1/2) (log (/ 1 x)))
(+ (log 1/2) (log (/ 1 x)))
(+ (log 1/2) (log (/ 1 x)))
(+ (log 1/2) (log (/ 1 x)))
(+ (log -1/2) (log (/ -1 x)))
(+ (log -1/2) (log (/ -1 x)))
(+ (log -1/2) (log (/ -1 x)))
(+ (log -1/2) (log (/ -1 x)))
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(copysign (- (log (fabs x)) (/ x (fabs x))) x)
(copysign (- (log (fabs x)) (/ x (fabs x))) x)
(copysign (- (log (fabs x)) (/ x (fabs x))) x)
(copysign (- (log (fabs x)) (/ x (fabs x))) x)
(copysign (- (log (fabs x)) (/ x (fabs x))) x)
(copysign (- (log (fabs x)) (/ x (fabs x))) x)
(copysign (- (log (fabs x)) (/ x (fabs x))) x)
(copysign (- (log (fabs x)) (/ x (fabs x))) x)
(copysign (+ (log (fabs x)) (* -1 (/ x (fabs x)))) x)
(copysign (+ (log (fabs x)) (* -1 (/ x (fabs x)))) x)
(copysign (+ (log (fabs x)) (* -1 (/ x (fabs x)))) x)
(copysign (+ (log (fabs x)) (* -1 (/ x (fabs x)))) x)
(log (fabs x))
(+ (log (fabs x)) (* -1 (/ x (fabs x))))
(+ (log (fabs x)) (* -1 (/ x (fabs x))))
(+ (log (fabs x)) (* -1 (/ x (fabs x))))
(* -1 (/ x (fabs x)))
(* x (- (/ (log (fabs x)) x) (/ 1 (fabs x))))
(* x (- (/ (log (fabs x)) x) (/ 1 (fabs x))))
(* x (- (/ (log (fabs x)) x) (/ 1 (fabs x))))
(* -1 (/ x (fabs x)))
(* -1 (* x (+ (* -1 (/ (log (fabs x)) x)) (/ 1 (fabs x)))))
(* -1 (* x (+ (* -1 (/ (log (fabs x)) x)) (/ 1 (fabs x)))))
(* -1 (* x (+ (* -1 (/ (log (fabs x)) x)) (/ 1 (fabs x)))))
(log (fabs x))
(log (fabs x))
(log (fabs x))
(log (fabs x))
(log (fabs x))
(log (fabs x))
(log (fabs x))
(log (fabs x))
(log (fabs x))
(log (fabs x))
(log (fabs x))
(log (fabs x))
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(log (/ 1 (+ 1 (fabs x))))
(+ (log (/ 1 (+ 1 (fabs x)))) (* -1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(+ (log (/ 1 (+ 1 (fabs x)))) (* (pow x 2) (- (* 1/24 (* (pow x 2) (- (* 24 (* (+ 1 (fabs x)) (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ (log (/ 1 (+ 1 (fabs x)))) (* (pow x 2) (- (* (pow x 2) (+ (* 1/720 (* (pow x 2) (- (+ (* -720 (* (+ 1 (fabs x)) (+ (* 1/16 (/ 1 (pow (+ 1 (fabs x)) 2))) (+ (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))) (+ 1 (fabs x)))) (* 1/16 (/ 1 (pow (+ 1 (fabs x)) 3))))))) (* 360 (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 1/24 (- (* 24 (* (+ 1 (fabs x)) (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(log (/ 1 x))
(+ (log (/ 1 x)) (* -1 (/ (fabs x) x)))
(+ (log (/ 1 x)) (+ (* -1 (/ (fabs x) x)) (* 1/2 (/ (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))) (pow x 2)))))
(+ (log (/ 1 x)) (+ (* -1 (/ (fabs x) x)) (+ (* 1/6 (/ (+ (* -6 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (+ (* -6 (+ (* -1 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (* -1/2 (fabs x)))) (* -2 (pow (fabs x) 3)))) (pow x 3))) (* 1/2 (/ (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))) (pow x 2))))))
(log (/ -1 x))
(+ (log (/ -1 x)) (/ (fabs x) x))
(+ (log (/ -1 x)) (* -1 (/ (+ (* -1 (fabs x)) (* -1/2 (/ (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))) x))) x)))
(+ (log (/ -1 x)) (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (+ (* -6 (+ (* -1 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (* -1/2 (fabs x)))) (* -2 (pow (fabs x) 3)))) x)) (* 1/2 (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))))) x))) x)))
(* -1 (log (/ 1 (+ 1 (fabs x)))))
(- (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) (log (/ 1 (+ 1 (fabs x)))))
(- (* (pow x 2) (+ (* -1/24 (* (pow x 2) (- (* 24 (* (+ 1 (fabs x)) (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))) (log (/ 1 (+ 1 (fabs x)))))
(- (* (pow x 2) (+ (* (pow x 2) (- (* -1/720 (* (pow x 2) (- (+ (* -720 (* (+ 1 (fabs x)) (+ (* 1/16 (/ 1 (pow (+ 1 (fabs x)) 3))) (+ (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))) (+ 1 (fabs x)))) (* 1/16 (/ 1 (pow (+ 1 (fabs x)) 2))))))) (* 360 (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 1/24 (- (* 24 (* (+ 1 (fabs x)) (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))) (log (/ 1 (+ 1 (fabs x)))))
(* -1 (log (/ 1 x)))
(- (/ (fabs x) x) (log (/ 1 x)))
(- (* -1/2 (/ (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))) (pow x 2))) (+ (log (/ 1 x)) (* -1 (/ (fabs x) x))))
(- (* -1/6 (/ (+ (* -6 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (+ (* -6 (+ (* -1 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (* -1/2 (fabs x)))) (* -2 (pow (fabs x) 3)))) (pow x 3))) (+ (log (/ 1 x)) (+ (* -1 (/ (fabs x) x)) (* 1/2 (/ (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))) (pow x 2))))))
(* -1 (log (/ -1 x)))
(- (* -1 (/ (fabs x) x)) (log (/ -1 x)))
(- (* -1 (/ (- (* 1/2 (/ (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))) x)) (* -1 (fabs x))) x)) (log (/ -1 x)))
(- (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ (+ (* -6 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (+ (* -6 (+ (* -1 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (* -1/2 (fabs x)))) (* -2 (pow (fabs x) 3)))) x)) (* 1/2 (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))))) x)) (* -1 (fabs x))) x)) (log (/ -1 x)))
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(/ 1 (+ 1 (fabs x)))
(+ (* -1/2 (/ (pow x 2) (pow (+ 1 (fabs x)) 2))) (/ 1 (+ 1 (fabs x))))
(+ (* (pow x 2) (- (* (pow x 2) (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3))))) (* 1/2 (/ 1 (pow (+ 1 (fabs x)) 2))))) (/ 1 (+ 1 (fabs x))))
(+ (* (pow x 2) (- (* (pow x 2) (+ (* -1 (* (pow x 2) (+ (* 1/16 (/ 1 (pow (+ 1 (fabs x)) 2))) (+ (* 1/16 (/ 1 (pow (+ 1 (fabs x)) 3))) (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))) (+ 1 (fabs x)))))))) (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 1/2 (/ 1 (pow (+ 1 (fabs x)) 2))))) (/ 1 (+ 1 (fabs x))))
(/ 1 x)
(/ (+ 1 (* -1 (/ (fabs x) x))) x)
(/ (- (+ 1 (* -1 (/ (+ 1/2 (* -1 (pow (fabs x) 2))) (pow x 2)))) (/ (fabs x) x)) x)
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (* -1/2 (fabs x))) (pow x 3)))) (+ (* -1 (/ (pow (fabs x) 2) (pow x 2))) (+ (/ 1/2 (pow x 2)) (/ (fabs x) x)))) x)
(/ -1 x)
(* -1 (/ (+ 1 (/ (fabs x) x)) x))
(* -1 (/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow (fabs x) 2) x)) (* 1/2 (/ 1 x))) (fabs x)) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2)))) x)) (* -1/2 (/ (fabs x) x))) (+ 1/2 (* -1 (pow (fabs x) 2)))) x)) (fabs x)) x))) x))
(- (fabs x) 1)
(- (+ (fabs x) (* -1/2 (pow x 2))) 1)
(- (+ (fabs x) (* (pow x 2) (- (* 1/8 (pow x 2)) 1/2))) 1)
(- (+ (fabs x) (* (pow x 2) (- (* (pow x 2) (+ 1/8 (* -1/16 (pow x 2)))) 1/2))) 1)
(* -1 x)
(* x (- (/ (fabs x) x) 1))
(* x (- (/ (fabs x) x) (+ 1 (/ 1/2 (pow x 2)))))
(* x (- (+ (* 1/8 (/ 1 (pow x 4))) (/ (fabs x) x)) (+ 1 (/ 1/2 (pow x 2)))))
x
(* -1 (* x (- (* -1 (/ (fabs x) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (fabs x) (* 1/2 (/ 1 x))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (fabs x) (* -1 (/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x))) x)) 1)))
(log (+ 1 (* (fabs x) (- (fabs x) 1))))
(+ (log (+ 1 (* (fabs x) (- (fabs x) 1)))) (/ (* (pow x 2) (+ 1 (* -1/2 (fabs x)))) (+ 1 (* (fabs x) (- (fabs x) 1)))))
(+ (log (+ 1 (* (fabs x) (- (fabs x) 1)))) (* (pow x 2) (+ (* -1/2 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* 1/24 (* (pow x 2) (+ (* -12 (/ (pow (+ 1 (* -1/2 (fabs x))) 2) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (* 3 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1)))))))) (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))))))
(+ (log (+ 1 (* (fabs x) (- (fabs x) 1)))) (* (pow x 2) (+ (* -1/2 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* (pow x 2) (+ (* 1/720 (* (pow x 2) (+ (* -90 (/ (* (fabs x) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (+ (* -45 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))) (* 240 (/ (pow (+ 1 (* -1/2 (fabs x))) 3) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 3))))))) (* 1/24 (+ (* -12 (/ (pow (+ 1 (* -1/2 (fabs x))) 2) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (* 3 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))))))) (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))))))
(* -2 (log (/ 1 x)))
(+ (* -2 (log (/ 1 x))) (* -1 (/ (fabs x) x)))
(+ (* -2 (log (/ 1 x))) (+ (* -1 (/ (fabs x) x)) (* 1/2 (/ (+ (* -1 (pow (fabs x) 2)) (* 2 (+ 1 (pow (fabs x) 2)))) (pow x 2)))))
(+ (* -2 (log (/ 1 x))) (+ (* -1 (/ (fabs x) x)) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (+ (* -2 (pow (fabs x) 3)) (* 6 (* (fabs x) (+ 1 (pow (fabs x) 2)))))) (pow x 3))) (* 1/2 (/ (+ (* -1 (pow (fabs x) 2)) (* 2 (+ 1 (pow (fabs x) 2)))) (pow x 2))))))
(* -2 (log (/ -1 x)))
(+ (* -2 (log (/ -1 x))) (/ (fabs x) x))
(+ (* -2 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* -1/2 (/ (+ (* -1 (pow (fabs x) 2)) (* 2 (+ 1 (pow (fabs x) 2)))) x))) x)))
(+ (* -2 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (+ (* -2 (pow (fabs x) 3)) (* 6 (* (fabs x) (+ 1 (pow (fabs x) 2)))))) x)) (* 1/2 (+ (* -1 (pow (fabs x) 2)) (* 2 (+ 1 (pow (fabs x) 2)))))) x))) 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 (fabs x))
(+ 1 (fabs x))
(+ 1 (fabs x))
(+ 1 (fabs x))
(+ 1 (fabs x))
(+ 1 (fabs x))
(+ 1 (fabs x))
(+ 1 (fabs x))
(+ 1 (fabs x))
(+ 1 (fabs x))
(+ 1 (fabs x))
(+ 1 (fabs x))
(/ x (fabs x))
(/ x (fabs x))
(/ x (fabs x))
(/ x (fabs x))
(/ x (fabs x))
(/ x (fabs x))
(/ x (fabs x))
(/ x (fabs x))
(/ x (fabs x))
(/ x (fabs x))
(/ x (fabs x))
(/ x (fabs x))
(+ 1 (fabs x))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))
x
(* x (+ 1 (/ (fabs x) x)))
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))

Outputs
(* (fabs x) (- (fabs x) 1))
(-.f64 (*.f64 x x) (fabs.f64 x))
(+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (* -1/2 (fabs x)))))
(fma.f64 x (.f64 x (fma.f64 (fabs.f64 x) #s(literal -1/2 binary64) #s(literal 1 binary64))) (-.f64 (.f64 x x) (fabs.f64 x)))
(+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (+ (* -1/2 (fabs x)) (* 1/8 (* (pow x 2) (fabs x)))))))
(fma.f64 x (.f64 x (fma.f64 (fabs.f64 x) (fma.f64 x (.f64 x #s(literal 1/8 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (-.f64 (*.f64 x x) (fabs.f64 x)))
(+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (+ (* -1/2 (fabs x)) (* (pow x 2) (+ (* -1/16 (* (pow x 2) (fabs x))) (* 1/8 (fabs x))))))))
(fma.f64 (.f64 x x) (fma.f64 (fabs.f64 x) #s(literal -1/2 binary64) (fma.f64 (.f64 x x) (.f64 (fabs.f64 x) (fma.f64 (.f64 x x) #s(literal -1/16 binary64) #s(literal 1/8 binary64))) #s(literal 1 binary64))) (-.f64 (*.f64 x x) (fabs.f64 x)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -1 (/ (fabs x) x))))
(*.f64 x (fma.f64 (/.f64 (fabs.f64 x) x) (neg.f64 x) x))
(* (pow x 2) (+ 1 (+ (* -1 (/ (fabs x) x)) (/ (pow (fabs x) 2) (pow x 2)))))
(.f64 (.f64 x x) (-.f64 #s(literal 2 binary64) (/.f64 (fabs.f64 x) x)))
(* (pow x 2) (+ 1 (+ (* -1 (/ (fabs x) x)) (+ (* -1/2 (/ (fabs x) (pow x 3))) (/ (pow (fabs x) 2) (pow x 2))))))
(.f64 (.f64 x x) (+.f64 (fma.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x x))) (/.f64 (fabs.f64 x) (neg.f64 x))) #s(literal 2 binary64)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ (fabs x) x)))
(*.f64 x (fma.f64 x (/.f64 (fabs.f64 x) x) x))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (pow (fabs x) 2) x))) x))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* 1/2 (/ (fabs x) x)) (pow (fabs x) 2)) x))) x))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) (/.f64 (fma.f64 x x (/.f64 (*.f64 (fabs.f64 x) #s(literal 1/2 binary64)) x)) x)) x)))
(copysign (- (log (+ (sqrt (pow (+ 1 (pow x 2)) 3)) (pow x 3))) (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2))))) x)
(copysign.f64 (-.f64 (log.f64 (fma.f64 x (.f64 x x) (sqrt.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))))) (log1p.f64 (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (.f64 x x)))) x)
(copysign (- (log (+ (sqrt (pow (+ 1 (pow x 2)) 3)) (pow x 3))) (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2))))) x)
(copysign.f64 (-.f64 (log.f64 (fma.f64 x (.f64 x x) (sqrt.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))))) (log1p.f64 (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (.f64 x x)))) x)
(copysign (- (log (+ (sqrt (pow (+ 1 (pow x 2)) 3)) (pow x 3))) (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2))))) x)
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(copysign (- (log (+ (sqrt (pow (+ 1 (pow x 2)) 3)) (pow x 3))) (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2))))) x)
(copysign.f64 (-.f64 (log.f64 (fma.f64 x (.f64 x x) (sqrt.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))))) (log1p.f64 (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (.f64 x x)))) x)
(copysign (- (log (+ (sqrt (pow (+ 1 (pow x 2)) 3)) (pow x 3))) (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2))))) x)
(copysign.f64 (-.f64 (log.f64 (fma.f64 x (.f64 x x) (sqrt.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))))) (log1p.f64 (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (.f64 x x)))) x)
(copysign (- (log (+ (sqrt (pow (+ 1 (pow x 2)) 3)) (pow x 3))) (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2))))) x)
(copysign.f64 (-.f64 (log.f64 (fma.f64 x (.f64 x x) (sqrt.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))))) (log1p.f64 (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (.f64 x x)))) x)
(copysign (- (log (+ (sqrt (pow (+ 1 (pow x 2)) 3)) (pow x 3))) (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2))))) x)
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(copysign (- (log (+ (sqrt (pow (+ 1 (pow x 2)) 3)) (pow x 3))) (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2))))) x)
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(copysign (- (log (- (sqrt (pow (+ 1 (pow x 2)) 3)) (* -1 (pow x 3)))) (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2))))) x)
(copysign.f64 (-.f64 (log.f64 (fma.f64 x (.f64 x x) (sqrt.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))))) (log1p.f64 (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (.f64 x x)))) x)
(copysign (- (log (- (sqrt (pow (+ 1 (pow x 2)) 3)) (* -1 (pow x 3)))) (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2))))) x)
(copysign.f64 (-.f64 (log.f64 (fma.f64 x (.f64 x x) (sqrt.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))))) (log1p.f64 (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (.f64 x x)))) x)
(copysign (- (log (- (sqrt (pow (+ 1 (pow x 2)) 3)) (* -1 (pow x 3)))) (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2))))) x)
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(copysign (- (log (- (sqrt (pow (+ 1 (pow x 2)) 3)) (* -1 (pow x 3)))) (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2))))) x)
(copysign.f64 (-.f64 (log.f64 (fma.f64 x (.f64 x x) (sqrt.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))))) (log1p.f64 (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (.f64 x x)))) x)
(* -1 (log (+ 1 (* (fabs x) (- (fabs x) 1)))))
(neg.f64 (log1p.f64 (-.f64 (*.f64 x x) (fabs.f64 x))))
(- (* (pow x 2) (- 3/2 (+ (* -1/2 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))))) (log (+ 1 (* (fabs x) (- (fabs x) 1)))))
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(+.f64 x (.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (*.f64 x x)))))))
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(.f64 x (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))))
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (*.f64 x x))))))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (*.f64 x x)))))))
(+ 1 (fabs x))
(+.f64 (fabs.f64 x) #s(literal 1 binary64))
(+ 1 (fabs x))
(+.f64 (fabs.f64 x) #s(literal 1 binary64))
(+ 1 (fabs x))
(+.f64 (fabs.f64 x) #s(literal 1 binary64))
(+ 1 (fabs x))
(+.f64 (fabs.f64 x) #s(literal 1 binary64))
(+ 1 (fabs x))
(+.f64 (fabs.f64 x) #s(literal 1 binary64))
(+ 1 (fabs x))
(+.f64 (fabs.f64 x) #s(literal 1 binary64))
(+ 1 (fabs x))
(+.f64 (fabs.f64 x) #s(literal 1 binary64))
(+ 1 (fabs x))
(+.f64 (fabs.f64 x) #s(literal 1 binary64))
(+ 1 (fabs x))
(+.f64 (fabs.f64 x) #s(literal 1 binary64))
(+ 1 (fabs x))
(+.f64 (fabs.f64 x) #s(literal 1 binary64))
(+ 1 (fabs x))
(+.f64 (fabs.f64 x) #s(literal 1 binary64))
(+ 1 (fabs x))
(+.f64 (fabs.f64 x) #s(literal 1 binary64))
(/ x (fabs x))
(/.f64 x (fabs.f64 x))
(/ x (fabs x))
(/.f64 x (fabs.f64 x))
(/ x (fabs x))
(/.f64 x (fabs.f64 x))
(/ x (fabs x))
(/.f64 x (fabs.f64 x))
(/ x (fabs x))
(/.f64 x (fabs.f64 x))
(/ x (fabs x))
(/.f64 x (fabs.f64 x))
(/ x (fabs x))
(/.f64 x (fabs.f64 x))
(/ x (fabs x))
(/.f64 x (fabs.f64 x))
(/ x (fabs x))
(/.f64 x (fabs.f64 x))
(/ x (fabs x))
(/.f64 x (fabs.f64 x))
(/ x (fabs x))
(/.f64 x (fabs.f64 x))
(/ x (fabs x))
(/.f64 x (fabs.f64 x))
(+ 1 (fabs x))
(+.f64 (fabs.f64 x) #s(literal 1 binary64))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))
(+.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/8 binary64) #s(literal 1/2 binary64)) x) x (fabs.f64 x)))
(+ 1 (+ (fabs x) (* (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 (*.f64 x x) #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))
x
(* x (+ 1 (/ (fabs x) x)))
(fma.f64 x (/.f64 (fabs.f64 x) x) x)
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))
(fma.f64 x (+.f64 (/.f64 (fabs.f64 x) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x)
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))
(.f64 x (+.f64 (+.f64 (/.f64 (fabs.f64 x) x) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (*.f64 x x))))))
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(+.f64 (neg.f64 x) (/.f64 (*.f64 (fabs.f64 x) x) x))
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))
(neg.f64 (fma.f64 (neg.f64 x) (/.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x)) x) x))
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))
(neg.f64 (fma.f64 x (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x) (fabs.f64 x)) x) x))

eval239.0ms (2.4%)

Memory: 17.7MiB live, 369.3MiB allocated
Compiler: Compiled 36 832 to 4 193 computations (88.6% saved)

prune121.0ms (1.2%)

Memory

-18.6MiB live, 340.8MiB allocated

Pruning

20 alts after pruning (8 fresh and 12 done)

	Pruned	Kept	Total
New	1 098	2	1 100
Fresh	0	6	6
Picked	0	5	5
Done	0	7	7
Total	1 098	20	1 118

Accuracy

99.7%

Counts

1 118 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.6%	(copysign.f64 (fma.f64 x (.f64 x (fma.f64 #s(literal -1/24 binary64) (.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (log1p.f64 (fabs.f64 x))) x)
	51.4%	(copysign.f64 (-.f64 (.f64 (.f64 x x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -3/2 binary64) #s(literal -3/4 binary64)) #s(literal 1 binary64)) #s(literal 3/2 binary64))) (log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) x)
	50.4%	(copysign.f64 (-.f64 (log1p.f64 (neg.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) (fabs.f64 x)) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) (fabs.f64 x))))) (log1p.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) (fabs.f64 x))))) x)
✓	58.9%	(copysign.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)))) (log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) x)
✓	18.0%	(copysign.f64 (-.f64 (log.f64 (fabs.f64 x)) (/.f64 x (fabs.f64 x))) x)
✓	6.1%	(copysign.f64 (.f64 x (.f64 x (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) x)
	9.6%	(copysign.f64 (neg.f64 (/.f64 x (fabs.f64 x))) x)
✓	27.4%	(copysign.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) x)
	26.5%	(copysign.f64 (neg.f64 (log.f64 (*.f64 (/.f64 (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))))))) x)
	55.4%	(copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x)
✓	64.9%	(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
✓	26.2%	(copysign.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) x)
✓	26.2%	(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x)
	25.0%	(copysign.f64 (log.f64 (+.f64 (-.f64 (fabs.f64 x) x) (/.f64 #s(literal -1/2 binary64) x))) x)
✓	27.4%	(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
✓	27.1%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (+.f64 x (/.f64 #s(literal 1/2 binary64) x)))) x)
	19.5%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x)
✓	27.5%	(copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x)
✓	9.4%	(copysign.f64 (log.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)))) x)
✓	9.2%	(copysign.f64 (log.f64 x) x)

Compiler

Compiled 801 to 313 computations (60.9% saved)

regimes16.0ms (0.2%)

Memory

29.9MiB live, 29.9MiB allocated

Counts

28 → 3

Calls

Call 1

Inputs
(copysign.f64 (neg.f64 (/.f64 x (fabs.f64 x))) x)
(copysign.f64 (.f64 x (.f64 x (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) x)
(copysign.f64 (log.f64 x) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x)
(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x)
(copysign.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) x)
(copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x)
(copysign.f64 (log.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)))) x)
(copysign.f64 (-.f64 (log.f64 (fabs.f64 x)) (/.f64 x (fabs.f64 x))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (+.f64 x (/.f64 #s(literal 1/2 binary64) x)))) x)
(copysign.f64 (log.f64 (+.f64 (-.f64 (fabs.f64 x) x) (/.f64 #s(literal -1/2 binary64) x))) x)
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
(copysign.f64 (-.f64 (neg.f64 (/.f64 (fabs.f64 x) x)) (neg.f64 (log.f64 (neg.f64 x)))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
(copysign.f64 (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (log1p.f64 (fabs.f64 x))) x)
(copysign.f64 (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x))) x)
(copysign.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))))) x)
(copysign.f64 (neg.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64)))) x)
(copysign.f64 (-.f64 (.f64 (.f64 x x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -3/2 binary64) #s(literal -3/4 binary64)) #s(literal 1 binary64)) #s(literal 3/2 binary64))) (log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) x)
(copysign.f64 (fma.f64 x (.f64 x (fma.f64 #s(literal -1/24 binary64) (.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (log1p.f64 (fabs.f64 x))) x)
(copysign.f64 (neg.f64 (log.f64 (*.f64 (/.f64 (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))))))) x)
(copysign.f64 (-.f64 (log1p.f64 (neg.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) (fabs.f64 x)) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) (fabs.f64 x))))) (log1p.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) (fabs.f64 x))))) x)
(copysign.f64 (-.f64 (log.f64 (fma.f64 x (.f64 x x) (.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) x)
(copysign.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)))) (log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) x)
(copysign.f64 (+.f64 (log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (log.f64 (/.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))) x)

Outputs

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

(copysign.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal -1/24 binary64) (*.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (log1p.f64 (fabs.f64 x))) x)

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
99.4%	3	`x`
99.4%	3	`(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes37.0ms (0.4%)

Memory

-14.3MiB live, 25.0MiB allocated

Counts

22 → 3

Calls

Call 1

Inputs
(copysign.f64 (neg.f64 (/.f64 x (fabs.f64 x))) x)
(copysign.f64 (.f64 x (.f64 x (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) x)
(copysign.f64 (log.f64 x) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x)
(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x)
(copysign.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) x)
(copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x)
(copysign.f64 (log.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)))) x)
(copysign.f64 (-.f64 (log.f64 (fabs.f64 x)) (/.f64 x (fabs.f64 x))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (+.f64 x (/.f64 #s(literal 1/2 binary64) x)))) x)
(copysign.f64 (log.f64 (+.f64 (-.f64 (fabs.f64 x) x) (/.f64 #s(literal -1/2 binary64) x))) x)
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
(copysign.f64 (-.f64 (neg.f64 (/.f64 (fabs.f64 x) x)) (neg.f64 (log.f64 (neg.f64 x)))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
(copysign.f64 (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (log1p.f64 (fabs.f64 x))) x)
(copysign.f64 (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x))) x)
(copysign.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))))) x)
(copysign.f64 (neg.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64)))) x)
(copysign.f64 (-.f64 (.f64 (.f64 x x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -3/2 binary64) #s(literal -3/4 binary64)) #s(literal 1 binary64)) #s(literal 3/2 binary64))) (log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) x)

Outputs

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

(copysign.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -3/2 binary64) #s(literal -3/4 binary64)) #s(literal 1 binary64)) #s(literal 3/2 binary64))) (log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) x)

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

Calls

2 calls:

30.0ms	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
6.0ms	x

Results

Accuracy	Segments	Branch
99.3%	3	`x`
99.3%	3	`(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes13.0ms (0.1%)

Memory

19.4MiB live, 19.4MiB allocated

Counts

21 → 3

Calls

Call 1

Inputs
(copysign.f64 (neg.f64 (/.f64 x (fabs.f64 x))) x)
(copysign.f64 (.f64 x (.f64 x (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) x)
(copysign.f64 (log.f64 x) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x)
(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x)
(copysign.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) x)
(copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x)
(copysign.f64 (log.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)))) x)
(copysign.f64 (-.f64 (log.f64 (fabs.f64 x)) (/.f64 x (fabs.f64 x))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (+.f64 x (/.f64 #s(literal 1/2 binary64) x)))) x)
(copysign.f64 (log.f64 (+.f64 (-.f64 (fabs.f64 x) x) (/.f64 #s(literal -1/2 binary64) x))) x)
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
(copysign.f64 (-.f64 (neg.f64 (/.f64 (fabs.f64 x) x)) (neg.f64 (log.f64 (neg.f64 x)))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
(copysign.f64 (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (log1p.f64 (fabs.f64 x))) x)
(copysign.f64 (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x))) x)
(copysign.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))))) x)
(copysign.f64 (neg.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64)))) x)

Outputs

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

(copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x)

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

Calls

2 calls:

6.0ms	x
5.0ms	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)

Results

Accuracy	Segments	Branch
99.2%	3	`x`
99.2%	3	`(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes27.0ms (0.3%)

Memory

-22.7MiB live, 13.8MiB allocated

Counts

12 → 3

Calls

Call 1

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

Outputs

(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x)

(copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x)

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

Calls

2 calls:

22.0ms	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
4.0ms	x

Results

Accuracy	Segments	Branch
99.0%	3	`x`
99.0%	3	`(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory

21.0MiB live, 21.0MiB allocated

Counts

11 → 3

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
98.9%	3	`x`
98.9%	3	`(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes10.0ms (0.1%)

Memory

-19.1MiB live, 16.8MiB allocated

Counts

8 → 3

Calls

Call 1

Inputs
(copysign.f64 (neg.f64 (/.f64 x (fabs.f64 x))) x)
(copysign.f64 (.f64 x (.f64 x (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) x)
(copysign.f64 (log.f64 x) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x)
(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x)
(copysign.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) x)

Outputs
(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) x)

Calls

2 calls:

6.0ms	x
3.0ms	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)

Results

Accuracy	Segments	Branch
98.0%	3	`x`
98.0%	3	`(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes6.0ms (0.1%)

Memory

15.9MiB live, 15.9MiB allocated

Counts

7 → 3

Calls

Call 1

Inputs
(copysign.f64 (neg.f64 (/.f64 x (fabs.f64 x))) x)
(copysign.f64 (.f64 x (.f64 x (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) x)
(copysign.f64 (log.f64 x) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x)
(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x)

Outputs
(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x)

Calls

2 calls:

3.0ms	x
2.0ms	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)

Results

Accuracy	Segments	Branch
98.0%	3	`x`
98.0%	3	`(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes5.0ms (0.1%)

Memory

14.6MiB live, 14.6MiB allocated

Counts

6 → 2

Calls

Call 1

Inputs
(copysign.f64 (neg.f64 (/.f64 x (fabs.f64 x))) x)
(copysign.f64 (.f64 x (.f64 x (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) x)
(copysign.f64 (log.f64 x) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x)

Outputs
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x)

Calls

2 calls:

3.0ms	x
2.0ms	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)

Results

Accuracy	Segments	Branch
82.0%	2	`x`
82.0%	2	`(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes9.0ms (0.1%)

Memory

-50.2MiB live, 10.3MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
(copysign.f64 (neg.f64 (/.f64 x (fabs.f64 x))) x)
(copysign.f64 (.f64 x (.f64 x (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) x)
(copysign.f64 (log.f64 x) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)

Outputs
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)

Calls

2 calls:

7.0ms	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
2.0ms	x

Results

Accuracy	Segments	Branch
64.9%	1	`x`
64.9%	1	`(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes4.0ms (0%)

Memory

8.6MiB live, 8.6MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs
(copysign.f64 (neg.f64 (/.f64 x (fabs.f64 x))) x)
(copysign.f64 (.f64 x (.f64 x (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) x)
(copysign.f64 (log.f64 x) x)

Outputs
(copysign.f64 (neg.f64 (/.f64 x (fabs.f64 x))) x)
(copysign.f64 (log.f64 x) x)

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
13.9%	2	`x`
13.9%	2	`(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes3.0ms (0%)

Memory

7.5MiB live, 7.5MiB allocated

Accuracy

Total -2.7b remaining (-4.7%)

Threshold costs -2.7b (-4.7%)

Counts

2 → 1

Calls

Call 1

Inputs
(copysign.f64 (neg.f64 (/.f64 x (fabs.f64 x))) x)
(copysign.f64 (.f64 x (.f64 x (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) x)

Outputs
(copysign.f64 (neg.f64 (/.f64 x (fabs.f64 x))) x)

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
9.6%	1	`(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)`
9.6%	1	`x`

Compiler

Compiled 15 to 10 computations (33.3% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.03459389391070582	8.359063805282087
0.0ms	-12.489017009524588	-9.304927370094713e-5

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.03459389391070582	8.359063805282087
0.0ms	-12.489017009524588	-9.304927370094713e-5

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.03459389391070582	8.359063805282087
0.0ms	-12.489017009524588	-9.304927370094713e-5

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.03459389391070582	8.359063805282087
0.0ms	-12.489017009524588	-9.304927370094713e-5

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.03459389391070582	8.359063805282087
0.0ms	-12.489017009524588	-9.304927370094713e-5

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.03459389391070582	8.359063805282087
0.0ms	-12.489017009524588	-9.304927370094713e-5

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.03459389391070582	8.359063805282087
0.0ms	-12.489017009524588	-9.304927370094713e-5

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.03459389391070582	8.359063805282087

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch16.0ms (0.2%)

Memory

-12.1MiB live, 26.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	0.03460079429191885	2134.3481648502034

Samples

8.0ms

128×

valid

Compiler

Compiled 136 to 91 computations (33.1% saved)

Precisions

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

ival-hypot: 2.0ms (35.8% of total)

ival-copysign: 1.0ms (17.9% of total)

ival-add: 1.0ms (17.9% of total)

ival-log: 1.0ms (17.9% of total)

ival-fabs: 1.0ms (17.9% of total)

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

exact: 0.0ms (0% of total)

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

simplify11.0ms (0.1%)

Memory

16.3MiB live, 16.3MiB allocated

Algorithm

1×	egg-herbie

Rules

32×	`+-commutative_binary64`
20×	`*-commutative_binary64`
16×	`sub-neg_binary64`
10×	`neg-sub0_binary64`
10×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	86	494
1	114	494
2	127	494
3	136	494
4	140	494

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal -10 binary64)) (copysign.f64 (log.f64 (+.f64 (-.f64 (fabs.f64 x) x) (/.f64 #s(literal -1/2 binary64) x))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal 3602879701896397/72057594037927936 binary64)) (copysign.f64 (fma.f64 x (.f64 x (fma.f64 #s(literal -1/24 binary64) (.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (log1p.f64 (fabs.f64 x))) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (+.f64 x (/.f64 #s(literal 1/2 binary64) x)))) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal -10 binary64)) (copysign.f64 (log.f64 (+.f64 (-.f64 (fabs.f64 x) x) (/.f64 #s(literal -1/2 binary64) x))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal 3602879701896397/72057594037927936 binary64)) (copysign.f64 (-.f64 (.f64 (.f64 x x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -3/2 binary64) #s(literal -3/4 binary64)) #s(literal 1 binary64)) #s(literal 3/2 binary64))) (log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (+.f64 x (/.f64 #s(literal 1/2 binary64) x)))) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal -10 binary64)) (copysign.f64 (log.f64 (+.f64 (-.f64 (fabs.f64 x) x) (/.f64 #s(literal -1/2 binary64) x))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal 3602879701896397/72057594037927936 binary64)) (copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (+.f64 x (/.f64 #s(literal 1/2 binary64) x)))) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal -10 binary64)) (copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal 3602879701896397/72057594037927936 binary64)) (copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (+.f64 x (/.f64 #s(literal 1/2 binary64) x)))) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal -10 binary64)) (copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal 3602879701896397/72057594037927936 binary64)) (copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x) (copysign.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal -10 binary64)) (copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal 3602879701896397/72057594037927936 binary64)) (copysign.f64 (log1p.f64 (fabs.f64 x)) x) (copysign.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal -10 binary64)) (copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal 3602879701896397/72057594037927936 binary64)) (copysign.f64 (log1p.f64 (fabs.f64 x)) x) (copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal 3602879701896397/72057594037927936 binary64)) (copysign.f64 (log1p.f64 (fabs.f64 x)) x) (copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x))
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(if (<=.f64 x #s(literal 3422735716801577/9007199254740992 binary64)) (copysign.f64 (neg.f64 (/.f64 x (fabs.f64 x))) x) (copysign.f64 (log.f64 x) x))
(copysign.f64 (neg.f64 (/.f64 x (fabs.f64 x))) x)

Outputs
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal -10 binary64)) (copysign.f64 (log.f64 (+.f64 (-.f64 (fabs.f64 x) x) (/.f64 #s(literal -1/2 binary64) x))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal 3602879701896397/72057594037927936 binary64)) (copysign.f64 (fma.f64 x (.f64 x (fma.f64 #s(literal -1/24 binary64) (.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (log1p.f64 (fabs.f64 x))) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (+.f64 x (/.f64 #s(literal 1/2 binary64) x)))) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal -10 binary64)) (copysign.f64 (log.f64 (+.f64 (-.f64 (fabs.f64 x) x) (/.f64 #s(literal -1/2 binary64) x))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal 3602879701896397/72057594037927936 binary64)) (copysign.f64 (fma.f64 x (.f64 x (fma.f64 #s(literal -1/24 binary64) (.f64 (/.f64 (*.f64 x x) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) (log1p.f64 (fabs.f64 x))) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (+.f64 x (/.f64 #s(literal 1/2 binary64) x)))) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal -10 binary64)) (copysign.f64 (log.f64 (+.f64 (-.f64 (fabs.f64 x) x) (/.f64 #s(literal -1/2 binary64) x))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal 3602879701896397/72057594037927936 binary64)) (copysign.f64 (-.f64 (.f64 (.f64 x x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -3/2 binary64) #s(literal -3/4 binary64)) #s(literal 1 binary64)) #s(literal 3/2 binary64))) (log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (+.f64 x (/.f64 #s(literal 1/2 binary64) x)))) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal -10 binary64)) (copysign.f64 (log.f64 (+.f64 (-.f64 (fabs.f64 x) x) (/.f64 #s(literal -1/2 binary64) x))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal 3602879701896397/72057594037927936 binary64)) (copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (+.f64 x (/.f64 #s(literal 1/2 binary64) x)))) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal -10 binary64)) (copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal 3602879701896397/72057594037927936 binary64)) (copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (+.f64 x (/.f64 #s(literal 1/2 binary64) x)))) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal -10 binary64)) (copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal 3602879701896397/72057594037927936 binary64)) (copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x) (copysign.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal -10 binary64)) (copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal 3602879701896397/72057594037927936 binary64)) (copysign.f64 (log1p.f64 (fabs.f64 x)) x) (copysign.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal -10 binary64)) (copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal 3602879701896397/72057594037927936 binary64)) (copysign.f64 (log1p.f64 (fabs.f64 x)) x) (copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal 3602879701896397/72057594037927936 binary64)) (copysign.f64 (log1p.f64 (fabs.f64 x)) x) (copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x))
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(if (<=.f64 x #s(literal 3422735716801577/9007199254740992 binary64)) (copysign.f64 (neg.f64 (/.f64 x (fabs.f64 x))) x) (copysign.f64 (log.f64 x) x))
(copysign.f64 (neg.f64 (/.f64 x (fabs.f64 x))) x)

soundness1.8s (18.6%)

Memory

8.4MiB live, 1 156.4MiB allocated

Rules

24 610×	`lower-fma.f64`
24 610×	`lower-fma.f32`
13 046×	`lower-fma.f64`
13 046×	`lower-fma.f32`
11 522×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	257	2291
1	665	2225
2	1866	2158
3	7096	2152
0	8356	1914
0	763	7253
1	2422	6772
0	8574	6172
0	28	265
0	56	379
1	204	186
2	1607	186
0	8404	186
0	9	44
0	16	44
1	51	44
2	324	44
3	3419	44
0	8352	39
0	169	782
1	490	754
2	1511	741
3	5413	691
0	8421	635
0	604	4632
1	1848	4350
2	6096	4228
0	8502	3954

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

Compiler

Compiled 722 to 233 computations (67.7% saved)

preprocess168.0ms (1.7%)

Memory: -4.2MiB live, 199.9MiB allocated
Compiler: Compiled 1 058 to 210 computations (80.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample578.0ms (5.9%)

preprocess16.0ms (0.2%)

explain304.0ms (3.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize161.0ms (1.6%)

series5.0ms (0.1%)

rewrite372.0ms (3.8%)

simplify591.0ms (6%)

eval56.0ms (0.6%)

prune64.0ms (0.6%)

simplify126.0ms (1.3%)

localize184.0ms (1.9%)

series92.0ms (0.9%)

rewrite618.0ms (6.3%)

simplify517.0ms (5.3%)

eval255.0ms (2.6%)

prune147.0ms (1.5%)

simplify13.0ms (0.1%)

localize106.0ms (1.1%)

series84.0ms (0.9%)

rewrite337.0ms (3.4%)

simplify501.0ms (5.1%)

eval228.0ms (2.3%)

prune112.0ms (1.1%)

simplify384.0ms (3.9%)

localize375.0ms (3.8%)

series287.0ms (2.9%)

rewrite373.0ms (3.8%)

simplify413.0ms (4.2%)

eval239.0ms (2.4%)

prune121.0ms (1.2%)

regimes16.0ms (0.2%)

regimes37.0ms (0.4%)

regimes13.0ms (0.1%)

regimes27.0ms (0.3%)

regimes8.0ms (0.1%)

regimes10.0ms (0.1%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

regimes9.0ms (0.1%)

regimes4.0ms (0%)

regimes3.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch16.0ms (0.2%)

simplify11.0ms (0.1%)

soundness1.8s (18.6%)

preprocess168.0ms (1.7%)

end0.0ms (0%)

Profiling