Metrics for Rust f32::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%	99.6%	0.4%	0%	0%	0%	0
100%	99.6%	0%	0.4%	0%	0%	0%	1

Compiler

Compiled 4 to 4 computations (0% saved)

sample870.0ms (8.6%)

Memory

-8.0MiB live, 437.1MiB allocated

Samples

616.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 288.0ms

ival-asinh: 281.0ms (97.5% of total)

ival-true: 5.0ms (1.7% of total)

ival-assert: 2.0ms (0.7% of total)

Bogosity

preprocess99.0ms (1%)

Memory

-11.1MiB live, 27.1MiB allocated

Algorithm

1×	egg-herbie

Rules

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

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.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)

Outputs
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x)

explain255.0ms (2.5%)

Memory

5.7MiB live, 253.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
115	-	2	(-0.021610144525766373)	`(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))))`
59	-	0	-	`(sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))`
0	-	0	-	`#s(literal 1 binary32)`
0	-	0	-	`(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)`
0	-	0	-	`(*.f32 x x)`
0	-	0	-	`(+.f32 (*.f32 x x) #s(literal 1 binary32))`
0	-	0	-	`(+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))`
0	-	0	-	`x`
0	-	0	-	`(fabs.f32 x)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`log.f32`	`(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))))`	sensitivity	113	4
`sqrt.f32`	`(sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))`	oflow-rescue	59	0
↳	`(+.f32 (*.f32 x x) #s(literal 1 binary32))`	overflow	59
↳	`(*.f32 x x)`	overflow	59

Confusion

	Predicted +	Predicted -
+	172	3
-	0	81

Precision

1.0

Recall

0.9828571428571429

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	172	3	0
-	0	1	80

Precision?

0.9943181818181818

Recall?

1.0

Freqs

test

number	freq
0	84
1	172

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

127.0ms	168×	1	valid
34.0ms	344×	0	valid

Compiler

Compiled 128 to 40 computations (68.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 146.0ms

ival-hypot: 58.0ms (39.7% of total)

adjust: 32.0ms (21.9% of total)

ival-fabs: 30.0ms (20.5% of total)

ival-log: 11.0ms (7.5% of total)

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

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

ival-mult: 3.0ms (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: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	42.3%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)

Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify5.0ms (0%)

Memory

7.0MiB live, 7.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))
✓	cost-diff	0	(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))))
✓	cost-diff	0	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
✓	cost-diff	64	(+.f32 (*.f32 x x) #s(literal 1 binary32))

Rules

8×	`lower-+.f64`
4×	`lift-+.f32`
4×	`lower-+.f32`
4×	`+-commutative`
2×	`lower-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.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))))
(+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))
(fabs.f32 x)
x
(sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))
(+.f32 (*.f32 x x) #s(literal 1 binary32))
(*.f32 x x)
#s(literal 1 binary32)

Outputs
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x)
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))))
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
(+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))
(+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(fabs.f32 x)
x
(sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))
(sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))
(+.f32 (*.f32 x x) #s(literal 1 binary32))
(fma.f32 x x #s(literal 1 binary32))
(*.f32 x x)
#s(literal 1 binary32)

localize56.0ms (0.6%)

Memory

4.4MiB live, 80.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fabs.f32 x)
✓	accuracy	99.9%	(+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))
✓	accuracy	80.0%	(sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))
✓	accuracy	63.9%	(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))))

Samples

28.0ms	172×	0	valid
14.0ms	84×	1	valid

Compiler

Compiled 51 to 11 computations (78.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-copysign: 17.0ms (47.7% of total)

ival-hypot: 6.0ms (16.8% of total)

ival-log: 5.0ms (14% of total)

ival-add: 3.0ms (8.4% of total)

adjust: 2.0ms (5.6% of total)

ival-mult: 2.0ms (5.6% of total)

ival-fabs: 1.0ms (2.8% of total)

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

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

exact: 0.0ms (0% of total)

series21.0ms (0.2%)

Memory

-28.8MiB live, 8.8MiB allocated

Counts

6 → 72

Calls

Call 1

Inputs
#<alt (+.f32 (*.f32 x x) #s(literal 1 binary32))>
#<alt (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)>
#<alt (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))))>
#<alt (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))>
#<alt (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))>
#<alt (fabs.f32 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	(log (+ (fabs x) (sqrt (+ (* x x) 1))))
0.0ms	x	@	inf	(+ (* x x) 1)

rewrite287.0ms (2.8%)

Memory

39.4MiB live, 595.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 872×	`lower-fma.f64`
5 872×	`lower-fma.f32`
3 070×	`lower-*.f64`
3 068×	`lower-*.f32`
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
(+.f32 (*.f32 x x) #s(literal 1 binary32))
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))))
(+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))
(sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))
(fabs.f32 x)

Outputs
(hypot.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (*.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
(hypot.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (*.f32 x (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
(hypot.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (*.f32 (neg.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
(hypot.f32 (*.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(hypot.f32 (*.f32 x (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(hypot.f32 (*.f32 (neg.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(neg.f32 (fma.f32 x (neg.f32 x) #s(literal -1 binary32)))
(exp.f32 (log1p.f32 (*.f32 x x)))
(exp.f32 (.f32 (neg.f32 (log1p.f32 (.f32 x x))) #s(literal -1 binary32)))
(+.f32 (*.f32 x x) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 x x))
(+.f32 (/.f32 (.f32 x (.f32 x (*.f32 x x))) (fma.f32 x x #s(literal -1 binary32))) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32)))))
(fabs.f32 (fma.f32 x x #s(literal 1 binary32)))
(pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1 binary32))
(pow.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) #s(literal 2 binary32))
(pow.f32 (*.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32))) #s(literal 1/2 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32))) #s(literal -1 binary32))
(pow.f32 (sqrt.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 4 binary32))
(pow.f32 (.f32 (.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32))) (*.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1/4 binary32))
(pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32))) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32)) (fma.f32 x (.f32 x (.f32 x x)) #s(literal 1 binary32))) #s(literal -1 binary32))
(pow.f32 (exp.f32 #s(literal 1/2 binary32)) (.f32 #s(literal 2 binary32) (log1p.f32 (.f32 x x))))
(pow.f32 (exp.f32 #s(literal 2 binary32)) (.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 x x))))
(pow.f32 (exp.f32 #s(literal 1 binary32)) (log1p.f32 (*.f32 x x)))
(fma.f32 x x #s(literal 1 binary32))
(fma.f32 x (/.f32 (.f32 x (.f32 x x)) (fma.f32 x x #s(literal -1 binary32))) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32)))))
(fma.f32 (*.f32 x x) #s(literal 1 binary32) #s(literal 1 binary32))
(fma.f32 (.f32 x x) (/.f32 (.f32 x x) (fma.f32 x x #s(literal -1 binary32))) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32)))))
(fma.f32 #s(literal 1 binary32) (*.f32 x x) #s(literal 1 binary32))
(fma.f32 (fabs.f32 x) (fabs.f32 x) #s(literal 1 binary32))
(fma.f32 (fabs.f32 x) (*.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 1 binary32))
(fma.f32 (neg.f32 x) (neg.f32 x) #s(literal 1 binary32))
(fma.f32 (neg.f32 x) (*.f32 (neg.f32 x) #s(literal 1 binary32)) #s(literal 1 binary32))
(fma.f32 (.f32 x (.f32 x x)) (/.f32 x (fma.f32 x x #s(literal -1 binary32))) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32)))))
(fma.f32 (.f32 x (.f32 x (*.f32 x x))) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32))) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32)))))
(fma.f32 #s(literal -1 binary32) (*.f32 x (neg.f32 x)) #s(literal 1 binary32))
(fma.f32 (fabs.f32 (fabs.f32 x)) (fabs.f32 (fabs.f32 x)) #s(literal 1 binary32))
(fma.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) (/.f32 (.f32 x (.f32 x x)) (+.f32 x #s(literal -1 binary32))) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32)))))
(fma.f32 (/.f32 (.f32 x x) (+.f32 x #s(literal 1 binary32))) (/.f32 (.f32 x x) (+.f32 x #s(literal -1 binary32))) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32)))))
(fma.f32 (/.f32 (.f32 x (.f32 x x)) (+.f32 x #s(literal 1 binary32))) (/.f32 x (+.f32 x #s(literal -1 binary32))) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32)))))
(fma.f32 (*.f32 #s(literal 1 binary32) (neg.f32 x)) (neg.f32 x) #s(literal 1 binary32))
(fma.f32 (*.f32 (neg.f32 x) #s(literal -1 binary32)) x #s(literal 1 binary32))
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(/.f32 (.f32 (fma.f32 x (.f32 x x) (*.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)) (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32))))
(/.f32 (.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 x x))) (.f32 (.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (.f32 (fma.f32 x x #s(literal 1 binary32)) (.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32)))))) (/.f32 #s(literal 1 binary32) (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32))))) (fma.f32 x (.f32 (.f32 x x) (.f32 x (.f32 x x))) (.f32 (.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (-.f32 (.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (.f32 x (*.f32 x x))))))
(/.f32 (.f32 (-.f32 (.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 x x))) (.f32 (fma.f32 x x #s(literal 1 binary32)) (.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32))))) (/.f32 #s(literal 1 binary32) (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32))))) (-.f32 (.f32 x (.f32 x x)) (*.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
(/.f32 (.f32 (-.f32 (.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 x x))) (.f32 (fma.f32 x x #s(literal 1 binary32)) (.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32))))) (/.f32 #s(literal 1 binary32) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) (fma.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 x x (fma.f32 x x #s(literal 1 binary32))) (.f32 x (.f32 x (*.f32 x x)))))
(/.f32 (.f32 (.f32 (fma.f32 x x (fma.f32 x x #s(literal 1 binary32))) (fma.f32 x x (fma.f32 x (neg.f32 x) #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) (fma.f32 x x (fma.f32 x x #s(literal 1 binary32))))
(*.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
(.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (.f32 (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))
(*.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (/.f32 (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
(.f32 (fma.f32 x (.f32 x x) (*.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (/.f32 #s(literal 1 binary32) (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32)))))
(.f32 (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32))) (.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32))))))
(*.f32 (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32))) (/.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32)))))
(*.f32 (fma.f32 x x (fma.f32 x (neg.f32 x) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
(.f32 (neg.f32 (fma.f32 x (.f32 x x) (*.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32))))))
(*.f32 (fma.f32 x (neg.f32 x) (fma.f32 x x #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (neg.f32 (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))
(.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x (.f32 x x) (*.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (fma.f32 x x (fma.f32 x (neg.f32 x) #s(literal -1 binary32))))
(*.f32 (fma.f32 x x (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))))
(*.f32 (/.f32 (fma.f32 x x (fma.f32 x (neg.f32 x) #s(literal -1 binary32))) (fma.f32 x x (fma.f32 x (neg.f32 x) #s(literal -1 binary32)))) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
(.f32 (/.f32 (fma.f32 x (.f32 x x) (.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (fma.f32 x (.f32 (.f32 x x) (.f32 x (.f32 x x))) (.f32 (+.f32 #s(literal 1 binary32) (.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) (.f32 (fma.f32 x x #s(literal 1 binary32)) (.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))))))) (fma.f32 (+.f32 #s(literal 1 binary32) (.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) (-.f32 (+.f32 #s(literal 1 binary32) (.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) (.f32 x x)) (.f32 x (.f32 x (*.f32 x x)))))
(.f32 (/.f32 (fma.f32 x (.f32 x x) (.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (fma.f32 x (.f32 x (.f32 x x)) (neg.f32 (.f32 (fma.f32 x x #s(literal 1 binary32)) (.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))))))) (fma.f32 x x (neg.f32 (+.f32 #s(literal 1 binary32) (.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))))
(.f32 (/.f32 (fma.f32 x x (fma.f32 x (neg.f32 x) #s(literal -1 binary32))) (-.f32 (.f32 x (.f32 x x)) (.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) (fma.f32 x x (fma.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fma.f32 x x #s(literal 1 binary32)))))
(exp.f32 (.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 x x))))
(exp.f32 (.f32 (.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 x x))) #s(literal 1 binary32)))
(exp.f32 (.f32 (.f32 #s(literal 2 binary32) (log1p.f32 (*.f32 x x))) #s(literal 1/4 binary32)))
(exp.f32 (.f32 (.f32 (log1p.f32 (*.f32 x x)) #s(literal 1/4 binary32)) #s(literal 2 binary32)))
(exp.f32 (-.f32 (log1p.f32 (.f32 x x)) (.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 x x)))))
(fabs.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/2 binary32))
(pow.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) #s(literal 1 binary32))
(pow.f32 (*.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32))) #s(literal 1/4 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32))) #s(literal -1/2 binary32))
(pow.f32 (sqrt.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 2 binary32))
(pow.f32 (.f32 (.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32))) (*.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1/8 binary32))
(pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (sqrt.f32 (fma.f32 (.f32 x x) (fma.f32 x x #s(literal -1 binary32)) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 x (*.f32 x x)) #s(literal 1 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (sqrt.f32 (fma.f32 x (.f32 x (.f32 x x)) #s(literal -1 binary32)))) #s(literal -1 binary32))
(pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log1p.f32 (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (fma.f32 (.f32 x x) (fma.f32 x x #s(literal -1 binary32)) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 x (*.f32 x x)) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (sqrt.f32 (fma.f32 x (.f32 x (.f32 x x)) #s(literal -1 binary32)))))
(/.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(/.f32 (sqrt.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 x x)) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 (*.f32 x x) (fma.f32 x x #s(literal -1 binary32)) #s(literal 1 binary32))))
(/.f32 (sqrt.f32 (fma.f32 x (.f32 x (.f32 x x)) #s(literal -1 binary32))) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))
(/.f32 (sqrt.f32 (neg.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 x x)) #s(literal 1 binary32)))) (sqrt.f32 (neg.f32 (fma.f32 (*.f32 x x) (fma.f32 x x #s(literal -1 binary32)) #s(literal 1 binary32)))))
(/.f32 (sqrt.f32 (neg.f32 (fma.f32 x (.f32 x (.f32 x x)) #s(literal -1 binary32)))) (sqrt.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32))))
(/.f32 (sqrt.f32 (fma.f32 x (.f32 x (.f32 x x)) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32))))
(/.f32 (neg.f32 (sqrt.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 x x)) #s(literal 1 binary32)))) (neg.f32 (sqrt.f32 (fma.f32 (*.f32 x x) (fma.f32 x x #s(literal -1 binary32)) #s(literal 1 binary32)))))
(/.f32 (neg.f32 (sqrt.f32 (fma.f32 x (.f32 x (.f32 x x)) #s(literal -1 binary32)))) (neg.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))
(/.f32 (exp.f32 (.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 x x)))))) (exp.f32 (.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 (*.f32 x x) (fma.f32 x x #s(literal -1 binary32)))))))
(/.f32 (exp.f32 (.f32 #s(literal 1/2 binary32) (log.f32 (fma.f32 x (.f32 x (.f32 x x)) #s(literal -1 binary32))))) (exp.f32 (.f32 #s(literal 1/2 binary32) (log.f32 (fma.f32 x x #s(literal -1 binary32))))))
(sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))
(.f32 (sqrt.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 x x)) #s(literal 1 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 x x) (fma.f32 x x #s(literal -1 binary32)) #s(literal 1 binary32)))))
(.f32 (sqrt.f32 (fma.f32 x (.f32 x (*.f32 x x)) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))
(*.f32 (sqrt.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (sqrt.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
(exp.f32 (log.f32 (fabs.f32 x)))
(exp.f32 (*.f32 (log.f32 (fabs.f32 x)) #s(literal 1 binary32)))
(fabs.f32 x)
(fabs.f32 (neg.f32 x))
(fabs.f32 (-.f32 x #s(literal 0 binary32)))
(pow.f32 (fabs.f32 x) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (fabs.f32 x))

simplify670.0ms (6.6%)

Memory

-11.5MiB live, 1 022.8MiB 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 binary32)
(+ 1 (pow x 2))
(fma.f32 x x #s(literal 1 binary32))
(+ 1 (pow x 2))
(fma.f32 x x #s(literal 1 binary32))
(+ 1 (pow x 2))
(fma.f32 x x #s(literal 1 binary32))
(pow x 2)
(*.f32 x x)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f32 x x #s(literal 1 binary32))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f32 x x #s(literal 1 binary32))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f32 x x #s(literal 1 binary32))
(pow x 2)
(*.f32 x x)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f32 x x #s(literal 1 binary32))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f32 x x #s(literal 1 binary32))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f32 x x #s(literal 1 binary32))
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x)
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(fma.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (log1p.f32 (fabs.f32 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.f32 x (.f32 x (fma.f32 #s(literal -1/24 binary32) (.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (log1p.f32 (fabs.f32 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.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (/.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (+.f32 #s(literal -1/8 binary32) (.f32 (.f32 (.f32 x x) #s(literal 1/720 binary32)) #s(literal 45 binary32))) (/.f32 (.f32 (.f32 (.f32 x x) #s(literal 1/720 binary32)) #s(literal 30 binary32)) (.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (log1p.f32 (fabs.f32 x)))
(* -1 (log (/ 1 x)))
(log.f32 x)
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x))
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))
(fma.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32)) (+.f32 (log.f32 x) (/.f32 (fabs.f32 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.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 x x)) #s(literal -1 binary32)) (+.f32 (log.f32 x) (fma.f32 (.f32 (fabs.f32 x) (fma.f32 #s(literal 2 binary32) (.f32 x x) #s(literal -3 binary32))) (/.f32 #s(literal 1/6 binary32) (.f32 x (*.f32 x x))) (/.f32 (fabs.f32 x) x))))
(* -1 (log (/ -1 x)))
(neg.f32 (neg.f32 (log.f32 (neg.f32 x))))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(-.f32 (neg.f32 (/.f32 (fabs.f32 x) x)) (neg.f32 (log.f32 (neg.f32 x))))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(-.f32 (/.f32 (-.f32 (/.f32 (fma.f32 x (*.f32 x #s(literal -1/2 binary32)) #s(literal 1/2 binary32)) x) (fabs.f32 x)) x) (neg.f32 (log.f32 (neg.f32 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)))
(-.f32 (/.f32 (-.f32 (/.f32 (fma.f32 x (.f32 x #s(literal -1/2 binary32)) (fma.f32 (.f32 (fabs.f32 x) (fma.f32 #s(literal 2 binary32) (*.f32 x x) #s(literal -3 binary32))) (/.f32 #s(literal -1/6 binary32) x) #s(literal 1/2 binary32))) x) (fabs.f32 x)) x) (neg.f32 (log.f32 (neg.f32 x))))
(+ 1 (fabs x))
(+.f32 #s(literal 1 binary32) (fabs.f32 x))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))
(+.f32 (fabs.f32 x) (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal -1/8 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32)))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))
(fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/16 binary32) #s(literal -1/8 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
x
(* x (+ 1 (/ (fabs x) x)))
(+.f32 x (fabs.f32 x))
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))
(+.f32 (fabs.f32 x) (+.f32 x (/.f32 #s(literal 1/2 binary32) x)))
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))
(+.f32 (fma.f32 x (/.f32 #s(literal -1/8 binary32) (.f32 x (.f32 x (*.f32 x x)))) (+.f32 x (/.f32 #s(literal 1/2 binary32) x))) (fabs.f32 x))
(* -1 x)
(neg.f32 x)
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(-.f32 (fabs.f32 x) x)
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))
(+.f32 (-.f32 (fabs.f32 x) x) (/.f32 #s(literal -1/2 binary32) x))
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))
(-.f32 (+.f32 (fabs.f32 x) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)) x)
1
#s(literal 1 binary32)
(+ 1 (* 1/2 (pow x 2)))
(fma.f32 x (*.f32 x #s(literal 1/2 binary32)) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal -1/8 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/16 binary32) #s(literal -1/8 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32))
x
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(+.f32 x (/.f32 #s(literal 1/2 binary32) x))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(fma.f32 x (/.f32 #s(literal -1/8 binary32) (.f32 x (.f32 x (*.f32 x x)))) (+.f32 x (/.f32 #s(literal 1/2 binary32) x)))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(+.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) x) (.f32 x (+.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/8 binary32) (.f32 x (.f32 x (.f32 x x))))))))
(* -1 x)
(neg.f32 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(-.f32 (/.f32 #s(literal -1/2 binary32) x) x)
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(fma.f32 x (/.f32 #s(literal 1/8 binary32) (.f32 x (.f32 x (*.f32 x x)))) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(+.f32 (-.f32 (/.f32 #s(literal -1/2 binary32) x) x) (.f32 (neg.f32 x) (+.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/8 binary32) (.f32 x (.f32 x (.f32 x x)))))))
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)

eval39.0ms (0.4%)

Memory: 23.8MiB live, 102.1MiB allocated
Compiler: Compiled 10 251 to 1 600 computations (84.4% saved)

prune60.0ms (0.6%)

Memory

-16.0MiB live, 161.0MiB allocated

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	334	15	349
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	335	15	350

Accuracy

100.0%

Counts

350 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	51.7%	(copysign.f32 (fma.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (log1p.f32 (fabs.f32 x))) x)
	50.4%	(copysign.f32 (fma.f32 x (.f32 x (fma.f32 #s(literal -1/24 binary32) (.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (log1p.f32 (fabs.f32 x))) x)
	42.3%	(copysign.f32 (neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)))) x)
	15.8%	(copysign.f32 (neg.f32 (log.f32 (/.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (fma.f32 x x (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))))) x)
▶	67.0%	(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
	42.2%	(copysign.f32 (log.f32 (fma.f32 (sqrt.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (sqrt.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fabs.f32 x))) x)
▶	30.7%	(copysign.f32 (log.f32 (-.f32 (fabs.f32 x) x)) x)
▶	28.4%	(copysign.f32 (log.f32 (+.f32 (-.f32 (fabs.f32 x) x) (/.f32 #s(literal -1/2 binary32) x))) x)
	42.3%	(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
▶	40.8%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) x)
	31.3%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (+.f32 x (/.f32 #s(literal 1/2 binary32) x)))) x)
	32.4%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x)
	32.3%	(copysign.f32 (log.f32 (+.f32 x (fabs.f32 x))) x)
	20.2%	(copysign.f32 (log.f32 (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)))) x)
▶	14.4%	(copysign.f32 (log.f32 x) x)

Compiler

Compiled 420 to 252 computations (40% saved)

simplify68.0ms (0.7%)

Memory

-18.3MiB live, 100.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Program
✓	cost-diff	(fabs.f32 x)
✓	cost-diff	(+.f32 (fabs.f32 x) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
✓	cost-diff	(log.f32 (+.f32 (fabs.f32 x) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
✓	cost-diff	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) x)
✓	cost-diff	(-.f32 (fabs.f32 x) x)
✓	cost-diff	(+.f32 (-.f32 (fabs.f32 x) x) (/.f32 #s(literal -1/2 binary32) x))
✓	cost-diff	(log.f32 (+.f32 (-.f32 (fabs.f32 x) x) (/.f32 #s(literal -1/2 binary32) x)))
✓	cost-diff	(copysign.f32 (log.f32 (+.f32 (-.f32 (fabs.f32 x) x) (/.f32 #s(literal -1/2 binary32) x))) x)
✓	cost-diff	(fabs.f32 x)
✓	cost-diff	(-.f32 (fabs.f32 x) x)
✓	cost-diff	(log.f32 (-.f32 (fabs.f32 x) x))
✓	cost-diff	(copysign.f32 (log.f32 (-.f32 (fabs.f32 x) x)) x)
✓	cost-diff	(log.f32 x)
✓	cost-diff	(copysign.f32 (log.f32 x) x)
✓	cost-diff	(fabs.f32 x)
✓	cost-diff	(log1p.f32 (fabs.f32 x))
✓	cost-diff	(copysign.f32 (log1p.f32 (fabs.f32 x)) x)

Rules

896×	`lower-fma.f64`
894×	`lower-fma.f32`
360×	`lower-*.f64`
360×	`lower-*.f32`
256×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	142
0	41	142
1	51	142
2	64	142
3	90	142
4	145	142
5	269	142
6	402	142
7	505	142
8	572	142
9	658	142
10	922	142
11	1203	142
12	1589	142
13	1635	142
14	1641	142
15	1644	142
0	1644	142

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(log1p.f32 (fabs.f32 x))
(fabs.f32 x)
x
(copysign.f32 (log.f32 x) x)
(log.f32 x)
x
(copysign.f32 (log.f32 (-.f32 (fabs.f32 x) x)) x)
(log.f32 (-.f32 (fabs.f32 x) x))
(-.f32 (fabs.f32 x) x)
(fabs.f32 x)
x
(copysign.f32 (log.f32 (+.f32 (-.f32 (fabs.f32 x) x) (/.f32 #s(literal -1/2 binary32) x))) x)
(log.f32 (+.f32 (-.f32 (fabs.f32 x) x) (/.f32 #s(literal -1/2 binary32) x)))
(+.f32 (-.f32 (fabs.f32 x) x) (/.f32 #s(literal -1/2 binary32) x))
(-.f32 (fabs.f32 x) x)
(fabs.f32 x)
x
(/.f32 #s(literal -1/2 binary32) x)
#s(literal -1/2 binary32)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) x)
(log.f32 (+.f32 (fabs.f32 x) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
(+.f32 (fabs.f32 x) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
(fabs.f32 x)
x
(/.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(fma.f32 x x #s(literal 1 binary32))
#s(literal 1 binary32)
(sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))

Outputs
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(log1p.f32 (fabs.f32 x))
(fabs.f32 x)
x
(copysign.f32 (log.f32 x) x)
(log.f32 x)
x
(copysign.f32 (log.f32 (-.f32 (fabs.f32 x) x)) x)
(log.f32 (-.f32 (fabs.f32 x) x))
(-.f32 (fabs.f32 x) x)
(fabs.f32 x)
x
(copysign.f32 (log.f32 (+.f32 (-.f32 (fabs.f32 x) x) (/.f32 #s(literal -1/2 binary32) x))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x))) x)
(log.f32 (+.f32 (-.f32 (fabs.f32 x) x) (/.f32 #s(literal -1/2 binary32) x)))
(log.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))
(+.f32 (-.f32 (fabs.f32 x) x) (/.f32 #s(literal -1/2 binary32) x))
(+.f32 (fabs.f32 x) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x))
(-.f32 (fabs.f32 x) x)
(fabs.f32 x)
x
(/.f32 #s(literal -1/2 binary32) x)
#s(literal -1/2 binary32)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) x)
(log.f32 (+.f32 (fabs.f32 x) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
(+.f32 (fabs.f32 x) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
(fabs.f32 x)
x
(/.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(fma.f32 x x #s(literal 1 binary32))
#s(literal 1 binary32)
(sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))

localize79.0ms (0.8%)

Memory

0.2MiB live, 156.1MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f32 (fabs.f32 x) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
✓	accuracy	100.0%	(sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))
✓	accuracy	100.0%	(log.f32 (+.f32 (fabs.f32 x) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
✓	accuracy	100.0%	(fabs.f32 x)
✓	accuracy	100.0%	(-.f32 (fabs.f32 x) x)
✓	accuracy	100.0%	(+.f32 (-.f32 (fabs.f32 x) x) (/.f32 #s(literal -1/2 binary32) x))
✓	accuracy	100.0%	(log.f32 (+.f32 (-.f32 (fabs.f32 x) x) (/.f32 #s(literal -1/2 binary32) x)))
✓	accuracy	100.0%	(fabs.f32 x)
✓	accuracy	100.0%	(copysign.f32 (log.f32 (-.f32 (fabs.f32 x) x)) x)
✓	accuracy	100.0%	(-.f32 (fabs.f32 x) x)
✓	accuracy	100.0%	(log.f32 (-.f32 (fabs.f32 x) x))
✓	accuracy	100.0%	(fabs.f32 x)
✓	accuracy	100.0%	(copysign.f32 (log.f32 x) x)
✓	accuracy	100.0%	(log.f32 x)
✓	accuracy	100.0%	(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
✓	accuracy	100.0%	(log1p.f32 (fabs.f32 x))
✓	accuracy	100.0%	(fabs.f32 x)

Samples

47.0ms

256×

invalid

Compiler

Compiled 158 to 24 computations (84.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-copysign: 9.0ms (24.8% of total)

ival-log: 8.0ms (22% of total)

ival-hypot: 5.0ms (13.8% of total)

ival-div: 4.0ms (11% of total)

ival-add: 3.0ms (8.3% of total)

ival-log1p: 2.0ms (5.5% of total)

ival-fabs: 1.0ms (2.8% of total)

ival-mult: 1.0ms (2.8% of total)

ival-sub: 1.0ms (2.8% of total)

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

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

exact: 0.0ms (0% of total)

series152.0ms (1.5%)

Memory

18.8MiB live, 169.8MiB allocated

Counts

15 → 180

Calls

Call 1

Inputs
#<alt (copysign.f32 (log1p.f32 (fabs.f32 x)) x)>
#<alt (log1p.f32 (fabs.f32 x))>
#<alt (fabs.f32 x)>
#<alt (copysign.f32 (log.f32 x) x)>
#<alt (log.f32 x)>
#<alt (copysign.f32 (log.f32 (-.f32 (fabs.f32 x) x)) x)>
#<alt (log.f32 (-.f32 (fabs.f32 x) x))>
#<alt (-.f32 (fabs.f32 x) x)>
#<alt (copysign.f32 (log.f32 (+.f32 (-.f32 (fabs.f32 x) x) (/.f32 #s(literal -1/2 binary32) x))) x)>
#<alt (log.f32 (+.f32 (-.f32 (fabs.f32 x) x) (/.f32 #s(literal -1/2 binary32) x)))>
#<alt (+.f32 (-.f32 (fabs.f32 x) x) (/.f32 #s(literal -1/2 binary32) x))>
#<alt (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) x)>
#<alt (log.f32 (+.f32 (fabs.f32 x) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))>
#<alt (+.f32 (fabs.f32 x) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))>
#<alt (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))>

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

Calls

45 calls:

Time	Variable		Point	Expression
40.0ms	x	@	0	(log (+ 1 (fabs x)))
31.0ms	x	@	0	(log x)
28.0ms	x	@	-inf	(log (+ 1 (fabs x)))
20.0ms	x	@	inf	(log (+ 1 (fabs x)))
15.0ms	x	@	inf	(log x)

rewrite504.0ms (5%)

Memory

7.3MiB live, 516.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 346×	`lower-fma.f64`
5 344×	`lower-fma.f32`
4 314×	`lower-*.f64`
4 314×	`lower-*.f32`
4 266×	`lower-/.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	108
0	41	108
1	123	108
2	1031	93
0	8410	93

Stop Event

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

Counts

15 → 382

Calls

Call 1

Inputs
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(log1p.f32 (fabs.f32 x))
(fabs.f32 x)
(copysign.f32 (log.f32 x) x)
(log.f32 x)
(copysign.f32 (log.f32 (-.f32 (fabs.f32 x) x)) x)
(log.f32 (-.f32 (fabs.f32 x) x))
(-.f32 (fabs.f32 x) x)
(copysign.f32 (log.f32 (+.f32 (-.f32 (fabs.f32 x) x) (/.f32 #s(literal -1/2 binary32) x))) x)
(log.f32 (+.f32 (-.f32 (fabs.f32 x) x) (/.f32 #s(literal -1/2 binary32) x)))
(+.f32 (-.f32 (fabs.f32 x) x) (/.f32 #s(literal -1/2 binary32) x))
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) x)
(log.f32 (+.f32 (fabs.f32 x) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
(+.f32 (fabs.f32 x) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
(sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))

Outputs
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(log1p.f32 (fabs.f32 x))
(neg.f32 (log.f32 (/.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (fabs.f32 x)) (fma.f32 x (*.f32 x x) #s(literal 1 binary32)))))
(neg.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))
(+.f32 (log1p.f32 (.f32 x (.f32 x x))) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (fabs.f32 x)))))
(+.f32 (log1p.f32 (neg.f32 (*.f32 x x))) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (fabs.f32 x)))))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (fabs.f32 x)) (fma.f32 x (*.f32 x x) #s(literal 1 binary32)))))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))
(-.f32 (log1p.f32 (.f32 x (.f32 x x))) (log1p.f32 (-.f32 (*.f32 x x) (fabs.f32 x))))
(-.f32 (log1p.f32 (.f32 x (.f32 x x))) (log.f32 (fma.f32 x x (-.f32 #s(literal 1 binary32) (fabs.f32 x)))))
(-.f32 (log1p.f32 (neg.f32 (*.f32 x x))) (log1p.f32 (neg.f32 (fabs.f32 x))))
(-.f32 (log.f32 (fma.f32 x x #s(literal -1 binary32))) (log.f32 (-.f32 (fabs.f32 x) #s(literal 1 binary32))))
(-.f32 (log.f32 (neg.f32 (fma.f32 x (*.f32 x x) #s(literal 1 binary32)))) (log.f32 (neg.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (fabs.f32 x)))))
(-.f32 (log.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (log.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 (.f32 x (.f32 x x))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (-.f32 (.f32 x x) (fabs.f32 x))) #s(literal 3 binary32))) (fma.f32 (log1p.f32 (.f32 x (.f32 x x))) (log1p.f32 (.f32 x (.f32 x x))) (fma.f32 (log1p.f32 (-.f32 (.f32 x x) (fabs.f32 x))) (log1p.f32 (-.f32 (.f32 x x) (fabs.f32 x))) (.f32 (log1p.f32 (.f32 x (.f32 x x))) (log1p.f32 (-.f32 (*.f32 x x) (fabs.f32 x)))))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 (neg.f32 (.f32 x x))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (neg.f32 (fabs.f32 x))) #s(literal 3 binary32))) (fma.f32 (log1p.f32 (neg.f32 (.f32 x x))) (log1p.f32 (neg.f32 (.f32 x x))) (fma.f32 (log1p.f32 (neg.f32 (fabs.f32 x))) (log1p.f32 (neg.f32 (fabs.f32 x))) (.f32 (log1p.f32 (neg.f32 (*.f32 x x))) (log1p.f32 (neg.f32 (fabs.f32 x)))))))
(log.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)))
(fabs.f32 x)
(fabs.f32 (neg.f32 x))
(fabs.f32 (neg.f32 (neg.f32 x)))
(fabs.f32 (neg.f32 (neg.f32 (neg.f32 x))))
(fabs.f32 (-.f32 x #s(literal 0 binary32)))
(*.f32 (fabs.f32 x) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (fabs.f32 x))
(copysign.f32 (log.f32 x) x)
(log.f32 x)
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(/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x (.f32 x x))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 x x))))
(/.f32 (neg.f32 (sqrt.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 x x)) #s(literal 1 binary32)))) (neg.f32 (sqrt.f32 (fma.f32 x (.f32 x (.f32 x x)) (-.f32 #s(literal 1 binary32) (*.f32 x x))))))
(/.f32 (neg.f32 (sqrt.f32 (fma.f32 x (.f32 x (.f32 x x)) #s(literal -1 binary32)))) (neg.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))
(/.f32 (neg.f32 (*.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1 binary32))) (neg.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
(/.f32 (neg.f32 (.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 x x)) #s(literal 1 binary32)) #s(literal 1 binary32))) (neg.f32 (.f32 (fma.f32 x (.f32 x (.f32 x x)) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
(/.f32 (neg.f32 (.f32 (fma.f32 x (.f32 x (.f32 x x)) #s(literal -1 binary32)) #s(literal 1 binary32))) (neg.f32 (.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
(/.f32 (neg.f32 (neg.f32 (neg.f32 (fma.f32 x x #s(literal 1 binary32))))) (neg.f32 (neg.f32 (neg.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))
(/.f32 (neg.f32 (.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 x x)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) (neg.f32 (fma.f32 x (.f32 x (.f32 x x)) (-.f32 #s(literal 1 binary32) (.f32 x x)))))
(/.f32 (neg.f32 (.f32 (fma.f32 x (.f32 x (*.f32 x x)) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) (neg.f32 (fma.f32 x x #s(literal -1 binary32))))
(sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))
(*.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(*.f32 (fma.f32 x x #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
(*.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (/.f32 (fma.f32 x x #s(literal -1 binary32)) (fma.f32 x x #s(literal -1 binary32))))
(*.f32 (neg.f32 (fma.f32 x x #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32)))
(.f32 (sqrt.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 x x)) #s(literal 1 binary32))) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x (.f32 x (.f32 x x)) (-.f32 #s(literal 1 binary32) (.f32 x x)))) #s(literal 1/2 binary32)))
(.f32 (sqrt.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 x x)) #s(literal 1 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x (.f32 x (.f32 x x)) (-.f32 #s(literal 1 binary32) (.f32 x x))))))
(.f32 (sqrt.f32 (fma.f32 x (.f32 x (*.f32 x x)) #s(literal -1 binary32))) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32))) #s(literal 1/2 binary32)))
(.f32 (sqrt.f32 (fma.f32 x (.f32 x (*.f32 x x)) #s(literal -1 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32)))))
(*.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/4 binary32)) (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/4 binary32)))
(.f32 (pow.f32 (/.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fma.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 x x)) #s(literal 1 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 x (.f32 x (.f32 x x)) (-.f32 #s(literal 1 binary32) (.f32 x x)))))
(.f32 (pow.f32 (/.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fma.f32 x (.f32 x (*.f32 x x)) #s(literal -1 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32))))
(*.f32 (/.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/4 binary32))) (/.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/4 binary32))))
(.f32 (/.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 x x)) #s(literal 1 binary32)) (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/4 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x (.f32 x (.f32 x x)) (-.f32 #s(literal 1 binary32) (.f32 x x)))) (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/4 binary32))))
(.f32 (/.f32 (fma.f32 x (.f32 x (*.f32 x x)) #s(literal -1 binary32)) (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/4 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32))) (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/4 binary32))))
(.f32 (/.f32 (fma.f32 x (.f32 x (*.f32 x x)) #s(literal -1 binary32)) (+.f32 x #s(literal 1 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (-.f32 x #s(literal 1 binary32))))

simplify332.0ms (3.3%)

Memory

-4.5MiB live, 595.6MiB allocated

Algorithm

1×	egg-herbie

Rules

13 536×	`lower-fma.f64`
13 536×	`lower-fma.f32`
3 484×	`lower-+.f64`
3 484×	`lower-+.f32`
3 264×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	290	1761
1	802	1677
2	2471	1573
3	6771	1542
0	8252	1432

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 178

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

Outputs
(copysign (log (+ 1 (fabs x))) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(copysign (log x) x)
(copysign.f32 (log.f32 x) x)
(copysign (log x) x)
(copysign.f32 (log.f32 x) x)
(copysign (log x) x)
(copysign.f32 (log.f32 x) x)
(copysign (log x) x)
(copysign.f32 (log.f32 x) x)
(copysign (log x) x)
(copysign.f32 (log.f32 x) x)
(copysign (log x) x)
(copysign.f32 (log.f32 x) x)
(copysign (log x) x)
(copysign.f32 (log.f32 x) x)
(copysign (log x) x)
(copysign.f32 (log.f32 x) x)
(copysign (log x) x)
(copysign.f32 (log.f32 x) x)
(copysign (log x) x)
(copysign.f32 (log.f32 x) x)
(copysign (log x) x)
(copysign.f32 (log.f32 x) x)
(copysign (log x) x)
(copysign.f32 (log.f32 x) x)
(log x)
(log.f32 x)
(log x)
(log.f32 x)
(log x)
(log.f32 x)
(log x)
(log.f32 x)
(* -1 (log (/ 1 x)))
(log.f32 x)
(* -1 (log (/ 1 x)))
(log.f32 x)
(* -1 (log (/ 1 x)))
(log.f32 x)
(* -1 (log (/ 1 x)))
(log.f32 x)
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f32 (log.f32 #s(literal -1 binary32)) (neg.f32 (log.f32 (neg.f32 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f32 (log.f32 #s(literal -1 binary32)) (neg.f32 (log.f32 (neg.f32 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
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(+.f32 x (+.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)))
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))
(fma.f32 x (/.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) (*.f32 x x))) (+.f32 x (+.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x))))
(* -1 x)
(neg.f32 x)
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(-.f32 (fabs.f32 x) x)
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))
(+.f32 (fabs.f32 x) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x))
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))
(-.f32 (+.f32 (fabs.f32 x) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)) x)
1
#s(literal 1 binary32)
(+ 1 (* 1/2 (pow x 2)))
(fma.f32 x (*.f32 x #s(literal 1/2 binary32)) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal -1/8 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(fma.f32 (.f32 x x) (fma.f32 x (.f32 x (fma.f32 (*.f32 x x) #s(literal 1/16 binary32) #s(literal -1/8 binary32))) #s(literal 1/2 binary32)) #s(literal 1 binary32))
x
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(+.f32 x (/.f32 #s(literal 1/2 binary32) x))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(fma.f32 x (/.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) (*.f32 x x))) (+.f32 x (/.f32 #s(literal 1/2 binary32) x)))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(+.f32 (+.f32 x (/.f32 #s(literal 1/2 binary32) x)) (.f32 x (+.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) (.f32 x x))))))
(* -1 x)
(neg.f32 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(-.f32 (/.f32 #s(literal -1/2 binary32) x) x)
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(fma.f32 x (/.f32 #s(literal 1/8 binary32) (.f32 (.f32 x x) (*.f32 x x))) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(+.f32 (-.f32 (/.f32 #s(literal -1/2 binary32) x) x) (.f32 (neg.f32 x) (+.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) (.f32 x x))))))

eval198.0ms (2%)

Memory: -10.3MiB live, 146.6MiB allocated
Compiler: Compiled 16 240 to 2 290 computations (85.9% saved)

prune88.0ms (0.9%)

Memory

18.8MiB live, 186.2MiB allocated

Pruning

17 alts after pruning (13 fresh and 4 done)

	Pruned	Kept	Total
New	656	5	661
Fresh	2	8	10
Picked	1	4	5
Done	0	0	0
Total	659	17	676

Accuracy

100.0%

Counts

676 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.7%	(copysign.f32 (fma.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (log1p.f32 (fabs.f32 x))) x)
	50.4%	(copysign.f32 (fma.f32 x (.f32 x (fma.f32 #s(literal -1/24 binary32) (.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (log1p.f32 (fabs.f32 x))) x)
▶	42.3%	(copysign.f32 (neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)))) x)
	14.3%	(copysign.f32 (neg.f32 (log.f32 (/.f32 (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (-.f32 (*.f32 x x) (fma.f32 x x #s(literal 1 binary32)))))) x)
▶	23.3%	(copysign.f32 (neg.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) (-.f32 #s(literal 1 binary32) (*.f32 x x))))) x)
✓	67.0%	(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
	40.9%	(copysign.f32 (log.f32 (fma.f32 (fma.f32 x x #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fabs.f32 x))) x)
	27.9%	(copysign.f32 (log.f32 (/.f32 #s(literal -1/2 binary32) x)) x)
✓	30.7%	(copysign.f32 (log.f32 (-.f32 (fabs.f32 x) x)) x)
✓	28.4%	(copysign.f32 (log.f32 (+.f32 (-.f32 (fabs.f32 x) x) (/.f32 #s(literal -1/2 binary32) x))) x)
	42.3%	(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
	22.5%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) #s(literal 1 binary32))))) x)
	31.3%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (+.f32 x (/.f32 #s(literal 1/2 binary32) x)))) x)
	32.4%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x)
▶	32.3%	(copysign.f32 (log.f32 (+.f32 x (fabs.f32 x))) x)
▶	20.2%	(copysign.f32 (log.f32 (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)))) x)
✓	14.4%	(copysign.f32 (log.f32 x) x)

Compiler

Compiled 433 to 264 computations (39% saved)

simplify469.0ms (4.6%)

Memory

-1.6MiB live, 269.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(copysign.f32 (neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)))) x)
✓	cost-diff	128	(neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32))))
✓	cost-diff	288	(log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)))
✓	cost-diff	352	(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32))
✓	cost-diff	0	(log.f32 (/.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) (-.f32 #s(literal 1 binary32) (*.f32 x x))))
✓	cost-diff	0	(neg.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))
✓	cost-diff	0	(copysign.f32 (neg.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) (-.f32 #s(literal 1 binary32) (*.f32 x x))))) x)
✓	cost-diff	64	(/.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) (-.f32 #s(literal 1 binary32) (*.f32 x x)))
✓	cost-diff	0	(fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))
✓	cost-diff	0	(+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)))
✓	cost-diff	0	(copysign.f32 (log.f32 (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)))) x)
✓	cost-diff	96	(log.f32 (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))))
✓	cost-diff	0	(fabs.f32 x)
✓	cost-diff	0	(+.f32 x (fabs.f32 x))
✓	cost-diff	0	(log.f32 (+.f32 x (fabs.f32 x)))
✓	cost-diff	0	(copysign.f32 (log.f32 (+.f32 x (fabs.f32 x))) x)
✓	cost-diff	0	(/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
✓	cost-diff	0	(*.f32 x x)
✓	cost-diff	0	(fma.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (log1p.f32 (fabs.f32 x)))
✓	cost-diff	0	(copysign.f32 (fma.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (log1p.f32 (fabs.f32 x))) x)

Rules

7 516×	`lower-fma.f64`
7 510×	`lower-fma.f32`
1 892×	`lower-*.f64`
1 888×	`lower-*.f32`
1 836×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	263
0	63	255
1	100	252
2	142	248
3	178	248
4	252	248
5	367	248
6	785	248
7	2449	248
8	3678	248
9	4402	248
10	5304	248
11	6882	248
0	8027	240

Stop Event

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

Calls

Call 1

Inputs
(copysign.f32 (fma.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (log1p.f32 (fabs.f32 x))) x)
(fma.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (log1p.f32 (fabs.f32 x)))
(*.f32 x x)
x
(/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
#s(literal 1/2 binary32)
(+.f32 #s(literal 1 binary32) (fabs.f32 x))
#s(literal 1 binary32)
(fabs.f32 x)
(log1p.f32 (fabs.f32 x))
(copysign.f32 (log.f32 (+.f32 x (fabs.f32 x))) x)
(log.f32 (+.f32 x (fabs.f32 x)))
(+.f32 x (fabs.f32 x))
x
(fabs.f32 x)
(copysign.f32 (log.f32 (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)))) x)
(log.f32 (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))))
(+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)))
#s(literal 1 binary32)
(fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))
x
(*.f32 x #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
(fabs.f32 x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) (-.f32 #s(literal 1 binary32) (*.f32 x x))))) x)
(neg.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))
(log.f32 (/.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(/.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) (-.f32 #s(literal 1 binary32) (*.f32 x x)))
(-.f32 #s(literal 1 binary32) (fabs.f32 x))
#s(literal 1 binary32)
(fabs.f32 x)
x
(-.f32 #s(literal 1 binary32) (*.f32 x x))
(*.f32 x x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)))) x)
(neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32))))
(log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)))
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
#s(literal 1 binary32)
(+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(fabs.f32 x)
x
(sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))
(fma.f32 x x #s(literal 1 binary32))

Outputs
(copysign.f32 (fma.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (log1p.f32 (fabs.f32 x))) x)
(copysign.f32 (fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (log1p.f32 (fabs.f32 x))) x)
(fma.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (log1p.f32 (fabs.f32 x)))
(fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (log1p.f32 (fabs.f32 x)))
(*.f32 x x)
x
(/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
#s(literal 1/2 binary32)
(+.f32 #s(literal 1 binary32) (fabs.f32 x))
#s(literal 1 binary32)
(fabs.f32 x)
(log1p.f32 (fabs.f32 x))
(copysign.f32 (log.f32 (+.f32 x (fabs.f32 x))) x)
(log.f32 (+.f32 x (fabs.f32 x)))
(+.f32 x (fabs.f32 x))
x
(fabs.f32 x)
(copysign.f32 (log.f32 (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)))) x)
(copysign.f32 (log1p.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))) x)
(log.f32 (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))))
(log1p.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)))
(+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)))
(+.f32 (fabs.f32 x) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) #s(literal 1 binary32)))
#s(literal 1 binary32)
(fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))
x
(*.f32 x #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
(fabs.f32 x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) (-.f32 #s(literal 1 binary32) (*.f32 x x))))) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 (+.f32 (fabs.f32 x) #s(literal -1 binary32)) (fma.f32 x x #s(literal -1 binary32))))) x)
(neg.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))
(neg.f32 (log.f32 (/.f32 (+.f32 (fabs.f32 x) #s(literal -1 binary32)) (fma.f32 x x #s(literal -1 binary32)))))
(log.f32 (/.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(log.f32 (/.f32 (+.f32 (fabs.f32 x) #s(literal -1 binary32)) (fma.f32 x x #s(literal -1 binary32))))
(/.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) (-.f32 #s(literal 1 binary32) (*.f32 x x)))
(/.f32 (+.f32 (fabs.f32 x) #s(literal -1 binary32)) (fma.f32 x x #s(literal -1 binary32)))
(-.f32 #s(literal 1 binary32) (fabs.f32 x))
#s(literal 1 binary32)
(fabs.f32 x)
x
(-.f32 #s(literal 1 binary32) (*.f32 x x))
(fma.f32 x (neg.f32 x) #s(literal 1 binary32))
(*.f32 x x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x)
(neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32))))
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
(log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)))
(neg.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
#s(literal 1 binary32)
(+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(fabs.f32 x)
x
(sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))
(fma.f32 x x #s(literal 1 binary32))

localize270.0ms (2.7%)

Memory

-3.7MiB live, 192.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
✓	accuracy	99.9%	(/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
✓	accuracy	89.9%	(sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))
✓	accuracy	82.8%	(log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)))
✓	accuracy	100.0%	(neg.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))
✓	accuracy	100.0%	(fabs.f32 x)
✓	accuracy	89.8%	(/.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) (-.f32 #s(literal 1 binary32) (*.f32 x x)))
✓	accuracy	82.7%	(log.f32 (/.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) (-.f32 #s(literal 1 binary32) (*.f32 x x))))
✓	accuracy	100.0%	(+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)))
✓	accuracy	100.0%	(*.f32 x #s(literal 1/2 binary32))
✓	accuracy	100.0%	(fabs.f32 x)
✓	accuracy	71.6%	(log.f32 (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))))
✓	accuracy	100.0%	(copysign.f32 (log.f32 (+.f32 x (fabs.f32 x))) x)
✓	accuracy	100.0%	(+.f32 x (fabs.f32 x))
✓	accuracy	100.0%	(log.f32 (+.f32 x (fabs.f32 x)))
✓	accuracy	100.0%	(fabs.f32 x)
✓	accuracy	100.0%	(fabs.f32 x)
✓	accuracy	100.0%	(log1p.f32 (fabs.f32 x))
✓	accuracy	99.9%	(/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
✓	accuracy	89.7%	(fma.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (log1p.f32 (fabs.f32 x)))

Samples

36.0ms	89×	0	valid
34.0ms	129×	0	invalid
19.0ms	38×	1	valid

Compiler

Compiled 285 to 36 computations (87.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 73.0ms

ival-hypot: 19.0ms (25.9% of total)

ival-log: 10.0ms (13.6% of total)

ival-copysign: 9.0ms (12.2% of total)

ival-add: 8.0ms (10.9% of total)

ival-div: 7.0ms (9.5% of total)

ival-mult: 6.0ms (8.2% of total)

ival-log1p: 5.0ms (6.8% of total)

adjust: 3.0ms (4.1% of total)

ival-sub: 2.0ms (2.7% of total)

ival-neg: 2.0ms (2.7% of total)

ival-fabs: 1.0ms (1.4% of total)

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

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

exact: 0.0ms (0% of total)

series40.0ms (0.4%)

Memory

0.4MiB live, 36.7MiB allocated

Counts

25 → 300

Calls

Call 1

Inputs
#<alt (copysign.f32 (fma.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (log1p.f32 (fabs.f32 x))) x)>
#<alt (fma.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (log1p.f32 (fabs.f32 x)))>
#<alt (*.f32 x x)>
#<alt (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))>
#<alt (copysign.f32 (log.f32 (+.f32 x (fabs.f32 x))) x)>
#<alt (log.f32 (+.f32 x (fabs.f32 x)))>
#<alt (+.f32 x (fabs.f32 x))>
#<alt (fabs.f32 x)>
#<alt (log.f32 (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))))>
#<alt (copysign.f32 (log.f32 (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)))) x)>
#<alt (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)))>
#<alt (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))>
#<alt (/.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) (-.f32 #s(literal 1 binary32) (*.f32 x x)))>
#<alt (copysign.f32 (neg.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) (-.f32 #s(literal 1 binary32) (*.f32 x x))))) x)>
#<alt (neg.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))>
#<alt (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) (-.f32 #s(literal 1 binary32) (*.f32 x x))))>
#<alt (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32))>
#<alt (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)))>
#<alt (neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32))))>
#<alt (copysign.f32 (neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)))) x)>
#<alt (log1p.f32 (fabs.f32 x))>
#<alt (*.f32 x #s(literal 1/2 binary32))>
#<alt (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))>
#<alt (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))>
#<alt (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))>

Outputs
#<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 (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 (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 (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 (- 1 (fabs x))>
#<alt (- (+ 1 (* (pow x 2) (- 1 (fabs x)))) (fabs x))>
#<alt (- (+ 1 (* (pow x 2) (- (* (pow x 2) (- 1 (fabs x))) (* -1 (- 1 (fabs x)))))) (fabs x))>
#<alt (- (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- 1 (fabs x))) (* -1 (- 1 (fabs x))))) (* -1 (- 1 (fabs x)))))) (fabs x))>
#<alt (* -1 (/ (- 1 (fabs x)) (pow x 2)))>
#<alt (/ (- (+ (* -1 (- 1 (fabs x))) (/ (fabs x) (pow x 2))) (/ 1 (pow x 2))) (pow x 2))>
#<alt (/ (- (+ (* -1 (- 1 (fabs x))) (+ (/ (fabs x) (pow x 2)) (/ (fabs x) (pow x 4)))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) (pow x 2))>
#<alt (/ (- (+ (* -1 (- 1 (fabs x))) (+ (/ (fabs x) (pow x 2)) (/ (fabs x) (pow x 6)))) (+ (* -1 (/ (- (fabs x) 1) (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))))) (pow x 2))>
#<alt (* -1 (/ (- 1 (fabs x)) (pow x 2)))>
#<alt (/ (- (+ (* -1 (- 1 (fabs x))) (/ (fabs x) (pow x 2))) (/ 1 (pow x 2))) (pow x 2))>
#<alt (/ (- (+ (* -1 (- 1 (fabs x))) (+ (/ (fabs x) (pow x 2)) (/ (fabs x) (pow x 4)))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) (pow x 2))>
#<alt (/ (- (+ (* -1 (- 1 (fabs x))) (+ (/ (fabs x) (pow x 2)) (/ (fabs x) (pow x 6)))) (+ (* -1 (/ (- (fabs x) 1) (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))))) (pow x 2))>
#<alt (copysign (neg (log (/ (- 1 (fabs x)) (- 1 (pow x 2))))) x)>
#<alt (copysign (neg (log (/ (- 1 (fabs x)) (- 1 (pow x 2))))) x)>
#<alt (copysign (neg (log (/ (- 1 (fabs x)) (- 1 (pow x 2))))) x)>
#<alt (copysign (neg (log (/ (- 1 (fabs x)) (- 1 (pow x 2))))) x)>
#<alt (copysign (neg (log (/ (- 1 (fabs x)) (- 1 (pow x 2))))) x)>
#<alt (copysign (neg (log (/ (- 1 (fabs x)) (- 1 (pow x 2))))) x)>
#<alt (copysign (neg (log (/ (- 1 (fabs x)) (- 1 (pow x 2))))) x)>
#<alt (copysign (neg (log (/ (- 1 (fabs x)) (- 1 (pow x 2))))) x)>
#<alt (copysign (neg (log (/ (- 1 (fabs x)) (- 1 (pow x 2))))) x)>
#<alt (copysign (neg (log (/ (- 1 (fabs x)) (- 1 (pow x 2))))) x)>
#<alt (copysign (neg (log (/ (- 1 (fabs x)) (- 1 (pow x 2))))) x)>
#<alt (copysign (neg (log (/ (- 1 (fabs x)) (- 1 (pow x 2))))) x)>
#<alt (* -1 (log (- 1 (fabs x))))>
#<alt (- (* -1 (pow x 2)) (log (- 1 (fabs x))))>
#<alt (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1)) (log (- 1 (fabs x))))>
#<alt (- (* (pow x 2) (- (* (pow x 2) (- (* -1/3 (pow x 2)) 1/2)) 1)) (log (- 1 (fabs x))))>
#<alt (* -1 (+ (log (* -1 (- 1 (fabs x)))) (* 2 (log (/ 1 x)))))>
#<alt (- (/ (fabs x) (* (pow x 2) (- 1 (fabs x)))) (+ (log (* -1 (- 1 (fabs x)))) (+ (* 2 (log (/ 1 x))) (/ 1 (* (pow x 2) (- 1 (fabs x)))))))>
#<alt (- (* -1/24 (/ (+ (* -24 (/ (- (fabs x) 1) (- 1 (fabs x)))) (* -12 (/ (pow (- (fabs x) 1) 2) (pow (- 1 (fabs x)) 2)))) (pow x 4))) (+ (log (* -1 (- 1 (fabs x)))) (+ (* -1 (/ (- (fabs x) 1) (* (pow x 2) (- 1 (fabs x))))) (* 2 (log (/ 1 x))))))>
#<alt (- (* -1/720 (/ (+ (* -720 (/ (- (fabs x) 1) (- 1 (fabs x)))) (+ (* -720 (/ (pow (- (fabs x) 1) 2) (pow (- 1 (fabs x)) 2))) (* -240 (/ (pow (- (fabs x) 1) 3) (pow (- 1 (fabs x)) 3))))) (pow x 6))) (+ (log (* -1 (- 1 (fabs x)))) (+ (* -1 (/ (- (fabs x) 1) (* (pow x 2) (- 1 (fabs x))))) (+ (* 1/24 (/ (+ (* -24 (/ (- (fabs x) 1) (- 1 (fabs x)))) (* -12 (/ (pow (- (fabs x) 1) 2) (pow (- 1 (fabs x)) 2)))) (pow x 4))) (* 2 (log (/ 1 x)))))))>
#<alt (* -1 (+ (log (* -1 (- 1 (fabs x)))) (* 2 (log (/ -1 x)))))>
#<alt (- (/ (fabs x) (* (pow x 2) (- 1 (fabs x)))) (+ (log (* -1 (- 1 (fabs x)))) (+ (* 2 (log (/ -1 x))) (/ 1 (* (pow x 2) (- 1 (fabs x)))))))>
#<alt (- (* -1/24 (/ (+ (* -24 (/ (- (fabs x) 1) (- 1 (fabs x)))) (* -12 (/ (pow (- (fabs x) 1) 2) (pow (- 1 (fabs x)) 2)))) (pow x 4))) (+ (log (* -1 (- 1 (fabs x)))) (+ (* -1 (/ (- (fabs x) 1) (* (pow x 2) (- 1 (fabs x))))) (* 2 (log (/ -1 x))))))>
#<alt (- (* -1/720 (/ (+ (* -720 (/ (- (fabs x) 1) (- 1 (fabs x)))) (+ (* -720 (/ (pow (- (fabs x) 1) 2) (pow (- 1 (fabs x)) 2))) (* -240 (/ (pow (- (fabs x) 1) 3) (pow (- 1 (fabs x)) 3))))) (pow x 6))) (+ (log (* -1 (- 1 (fabs x)))) (+ (* -1 (/ (- (fabs x) 1) (* (pow x 2) (- 1 (fabs x))))) (+ (* 1/24 (/ (+ (* -24 (/ (- (fabs x) 1) (- 1 (fabs x)))) (* -12 (/ (pow (- (fabs x) 1) 2) (pow (- 1 (fabs x)) 2)))) (pow x 4))) (* 2 (log (/ -1 x)))))))>
#<alt (log (- 1 (fabs x)))>
#<alt (+ (log (- 1 (fabs x))) (pow x 2))>
#<alt (+ (log (- 1 (fabs x))) (* (pow x 2) (+ 1 (* 1/2 (pow x 2)))))>
#<alt (+ (log (- 1 (fabs x))) (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/2 (* 1/3 (pow x 2)))))))>
#<alt (+ (log (* -1 (- 1 (fabs x)))) (* 2 (log (/ 1 x))))>
#<alt (+ (log (* -1 (- 1 (fabs x)))) (+ (* -1 (/ (- (fabs x) 1) (* (pow x 2) (- 1 (fabs x))))) (* 2 (log (/ 1 x)))))>
#<alt (+ (log (* -1 (- 1 (fabs x)))) (+ (* -1 (/ (- (fabs x) 1) (* (pow x 2) (- 1 (fabs x))))) (+ (* 1/24 (/ (+ (* -24 (/ (- (fabs x) 1) (- 1 (fabs x)))) (* -12 (/ (pow (- (fabs x) 1) 2) (pow (- 1 (fabs x)) 2)))) (pow x 4))) (* 2 (log (/ 1 x))))))>
#<alt (+ (log (* -1 (- 1 (fabs x)))) (+ (* -1 (/ (- (fabs x) 1) (* (pow x 2) (- 1 (fabs x))))) (+ (* 1/720 (/ (+ (* -720 (/ (- (fabs x) 1) (- 1 (fabs x)))) (+ (* -720 (/ (pow (- (fabs x) 1) 2) (pow (- 1 (fabs x)) 2))) (* -240 (/ (pow (- (fabs x) 1) 3) (pow (- 1 (fabs x)) 3))))) (pow x 6))) (+ (* 1/24 (/ (+ (* -24 (/ (- (fabs x) 1) (- 1 (fabs x)))) (* -12 (/ (pow (- (fabs x) 1) 2) (pow (- 1 (fabs x)) 2)))) (pow x 4))) (* 2 (log (/ 1 x)))))))>
#<alt (+ (log (* -1 (- 1 (fabs x)))) (* 2 (log (/ -1 x))))>
#<alt (+ (log (* -1 (- 1 (fabs x)))) (+ (* -1 (/ (- (fabs x) 1) (* (pow x 2) (- 1 (fabs x))))) (* 2 (log (/ -1 x)))))>
#<alt (+ (log (* -1 (- 1 (fabs x)))) (+ (* -1 (/ (- (fabs x) 1) (* (pow x 2) (- 1 (fabs x))))) (+ (* 1/24 (/ (+ (* -24 (/ (- (fabs x) 1) (- 1 (fabs x)))) (* -12 (/ (pow (- (fabs x) 1) 2) (pow (- 1 (fabs x)) 2)))) (pow x 4))) (* 2 (log (/ -1 x))))))>
#<alt (+ (log (* -1 (- 1 (fabs x)))) (+ (* -1 (/ (- (fabs x) 1) (* (pow x 2) (- 1 (fabs x))))) (+ (* 1/720 (/ (+ (* -720 (/ (- (fabs x) 1) (- 1 (fabs x)))) (+ (* -720 (/ (pow (- (fabs x) 1) 2) (pow (- 1 (fabs x)) 2))) (* -240 (/ (pow (- (fabs x) 1) 3) (pow (- 1 (fabs x)) 3))))) (pow x 6))) (+ (* 1/24 (/ (+ (* -24 (/ (- (fabs x) 1) (- 1 (fabs x)))) (* -12 (/ (pow (- (fabs x) 1) 2) (pow (- 1 (fabs x)) 2)))) (pow x 4))) (* 2 (log (/ -1 x)))))))>
#<alt (/ 1 (+ 1 (fabs x)))>
#<alt (+ (* -1/2 (/ (pow x 2) (pow (+ 1 (fabs x)) 2))) (/ 1 (+ 1 (fabs x))))>
#<alt (+ (* (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))))>
#<alt (+ (* (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))))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* -1 (/ (fabs x) x))) x)>
#<alt (/ (- (+ 1 (* -1 (/ (+ 1/2 (* -1 (pow (fabs x) 2))) (pow x 2)))) (/ (fabs x) x)) x)>
#<alt (/ (- (+ 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)>
#<alt (/ -1 x)>
#<alt (* -1 (/ (+ 1 (/ (fabs x) x)) x))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow (fabs x) 2) x)) (* 1/2 (/ 1 x))) (fabs x)) x))) x))>
#<alt (* -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))>
#<alt (log (/ 1 (+ 1 (fabs x))))>
#<alt (+ (log (/ 1 (+ 1 (fabs x)))) (* -1/2 (/ (pow x 2) (+ 1 (fabs x)))))>
#<alt (+ (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)))))))>
#<alt (+ (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)))))))>
#<alt (log (/ 1 x))>
#<alt (+ (log (/ 1 x)) (* -1 (/ (fabs x) x)))>
#<alt (+ (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 (+ (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))))))>
#<alt (log (/ -1 x))>
#<alt (+ (log (/ -1 x)) (/ (fabs x) x))>
#<alt (+ (log (/ -1 x)) (* -1 (/ (+ (* -1 (fabs x)) (* -1/2 (/ (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))) x))) x)))>
#<alt (+ (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)))>
#<alt (* -1 (log (/ 1 (+ 1 (fabs x)))))>
#<alt (- (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) (log (/ 1 (+ 1 (fabs x)))))>
#<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)))>
#<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 (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt 1>
#<alt (+ 1 (* 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 (+ 1 (fabs x)))>
#<alt (+ (* -1/2 (/ (pow x 2) (pow (+ 1 (fabs x)) 2))) (/ 1 (+ 1 (fabs x))))>
#<alt (+ (* (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))))>
#<alt (+ (* (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))))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* -1 (/ (fabs x) x))) x)>
#<alt (/ (- (+ 1 (* -1 (/ (+ 1/2 (* -1 (pow (fabs x) 2))) (pow x 2)))) (/ (fabs x) x)) x)>
#<alt (/ (- (+ 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)>
#<alt (/ -1 x)>
#<alt (* -1 (/ (+ 1 (/ (fabs x) x)) x))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow (fabs x) 2) x)) (* 1/2 (/ 1 x))) (fabs x)) x))) x))>
#<alt (* -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))>
#<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
2.0ms	x	@	inf	(neg (log (/ (- 1 (fabs x)) (- 1 (* x x)))))
1.0ms	x	@	0	(log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))
1.0ms	x	@	-inf	(neg (log (/ (- 1 (fabs x)) (- 1 (* x x)))))
1.0ms	x	@	0	(neg (log (/ (- 1 (fabs x)) (- 1 (* x x)))))
1.0ms	x	@	inf	(log (+ 1 (+ (* x (* x 1/2)) (fabs x))))

rewrite570.0ms (5.6%)

Memory

-15.1MiB live, 680.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 660×	`lower-fma.f64`
6 654×	`lower-fma.f32`
4 450×	`lower-/.f64`
4 442×	`lower-/.f32`
4 166×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	224
0	63	225
1	228	180
2	1643	180
0	8647	176

Stop Event

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

Counts

25 → 782

Calls

Call 1

Inputs
(copysign.f32 (fma.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (log1p.f32 (fabs.f32 x))) x)
(fma.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (log1p.f32 (fabs.f32 x)))
(*.f32 x x)
(/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
(copysign.f32 (log.f32 (+.f32 x (fabs.f32 x))) x)
(log.f32 (+.f32 x (fabs.f32 x)))
(+.f32 x (fabs.f32 x))
(fabs.f32 x)
(log.f32 (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))))
(copysign.f32 (log.f32 (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)))) x)
(+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)))
(fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))
(/.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) (-.f32 #s(literal 1 binary32) (*.f32 x x)))
(copysign.f32 (neg.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) (-.f32 #s(literal 1 binary32) (*.f32 x x))))) x)
(neg.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))
(log.f32 (/.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32))
(log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)))
(neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32))))
(copysign.f32 (neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)))) x)
(log1p.f32 (fabs.f32 x))
(*.f32 x #s(literal 1/2 binary32))
(sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
(+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))

Outputs
(copysign.f32 (fma.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (log1p.f32 (fabs.f32 x))) x)
(+.f32 (log1p.f32 (fabs.f32 x)) (/.f32 (.f32 x x) (.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32))))
(+.f32 (/.f32 (.f32 x x) (.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32))) (log1p.f32 (fabs.f32 x)))
(pow.f32 (/.f32 (fma.f32 (log1p.f32 (fabs.f32 x)) (-.f32 (log1p.f32 (fabs.f32 x)) (/.f32 (.f32 x x) (.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32)))) (/.f32 (.f32 (.f32 (.f32 x x) (.f32 x x)) #s(literal 1/4 binary32)) (.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (fma.f32 (.f32 x (.f32 x x)) (/.f32 (.f32 (.f32 x (.f32 x x)) #s(literal 1/8 binary32)) (.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (pow.f32 (log1p.f32 (fabs.f32 x)) #s(literal 3 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 x (/.f32 (.f32 x #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (neg.f32 (log1p.f32 (fabs.f32 x)))) (-.f32 (/.f32 (.f32 (.f32 (.f32 x x) (.f32 x x)) #s(literal 1/4 binary32)) (.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (pow.f32 (log1p.f32 (fabs.f32 x)) #s(literal 2 binary32)))) #s(literal -1 binary32))
(fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (log1p.f32 (fabs.f32 x)))
(fma.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (log1p.f32 (fabs.f32 x)))
(fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (log1p.f32 (fabs.f32 x)))
(fma.f32 #s(literal 1/2 binary32) (.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (.f32 x x)) (log1p.f32 (fabs.f32 x)))
(fma.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (*.f32 x x) (log1p.f32 (fabs.f32 x)))
(fma.f32 (*.f32 x #s(literal 1/2 binary32)) (/.f32 x (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (log1p.f32 (fabs.f32 x)))
(fma.f32 (neg.f32 (log1p.f32 (fabs.f32 x))) #s(literal -1 binary32) (/.f32 (.f32 x x) (.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32))))
(fma.f32 (.f32 x (.f32 x #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (log1p.f32 (fabs.f32 x)))
(fma.f32 #s(literal -1 binary32) (neg.f32 (log1p.f32 (fabs.f32 x))) (/.f32 (.f32 x x) (.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32))))
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (/.f32 (*.f32 x x) #s(literal 2 binary32)) (log1p.f32 (fabs.f32 x)))
(fma.f32 (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x (log1p.f32 (fabs.f32 x)))
(fma.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal 1/2 binary32) (log1p.f32 (fabs.f32 x)))
(fma.f32 (/.f32 (.f32 x (.f32 x #s(literal 1/2 binary32))) (fma.f32 x (*.f32 x x) #s(literal 1 binary32))) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (fabs.f32 x)) (log1p.f32 (fabs.f32 x)))
(fma.f32 (/.f32 (.f32 x (.f32 x #s(literal 1/2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) (fabs.f32 x)) (log1p.f32 (fabs.f32 x)))
(fma.f32 (/.f32 #s(literal 1/2 binary32) (fma.f32 x (.f32 x x) #s(literal 1 binary32))) (/.f32 (.f32 x x) (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (fabs.f32 x)))) (log1p.f32 (fabs.f32 x)))
(fma.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) (.f32 x x))) (/.f32 (.f32 x x) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (fabs.f32 x)))) (log1p.f32 (fabs.f32 x)))
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(/.f32 (neg.f32 (-.f32 (.f32 x x) (fma.f32 x x #s(literal 1 binary32)))) (neg.f32 (.f32 #s(literal 1 binary32) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))
(/.f32 (neg.f32 (neg.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) #s(literal 1 binary32))
(/.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x x)) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))
(/.f32 (.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (.f32 x (.f32 x x)))) (-.f32 (fma.f32 x x (fma.f32 x x #s(literal 1 binary32))) (.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
(/.f32 (.f32 #s(literal 1 binary32) (-.f32 (.f32 x x) (fma.f32 x x #s(literal 1 binary32)))) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
(/.f32 (-.f32 (.f32 (.f32 x x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (.f32 (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32)))) (.f32 (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
(/.f32 (neg.f32 (neg.f32 (fma.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (.f32 x (.f32 x x))))) (neg.f32 (neg.f32 (-.f32 (fma.f32 x x (fma.f32 x x #s(literal 1 binary32))) (*.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))))
(/.f32 (neg.f32 (neg.f32 (-.f32 (*.f32 x x) (fma.f32 x x #s(literal 1 binary32))))) (neg.f32 (neg.f32 (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))
(/.f32 (neg.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x x))) (neg.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))))
(/.f32 (neg.f32 (.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (.f32 x (.f32 x x))))) (neg.f32 (-.f32 (fma.f32 x x (fma.f32 x x #s(literal 1 binary32))) (.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))
(/.f32 (neg.f32 (.f32 #s(literal 1 binary32) (-.f32 (.f32 x x) (fma.f32 x x #s(literal 1 binary32))))) (neg.f32 (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
(/.f32 (fma.f32 x (.f32 x x) (pow.f32 (.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 3 binary32))) (fma.f32 x x (-.f32 (.f32 (.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (.f32 (fabs.f32 x) (*.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))))
(/.f32 (fma.f32 x (.f32 x x) (pow.f32 (.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) #s(literal 1 binary32)) #s(literal 3 binary32))) (fma.f32 x x (-.f32 (.f32 (.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) #s(literal 1 binary32)) (.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) #s(literal 1 binary32))) (.f32 (fabs.f32 x) (*.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) #s(literal 1 binary32))))))
(/.f32 (+.f32 (pow.f32 (.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 3 binary32)) (.f32 x (.f32 x x))) (fma.f32 (.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (-.f32 (.f32 x x) (.f32 (.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fabs.f32 x)))))
(/.f32 (+.f32 (pow.f32 (.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) #s(literal 1 binary32)) #s(literal 3 binary32)) (.f32 x (.f32 x x))) (fma.f32 (.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) #s(literal 1 binary32)) (.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) #s(literal 1 binary32)) (-.f32 (.f32 x x) (.f32 (.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) #s(literal 1 binary32)) (fabs.f32 x)))))
(/.f32 (-.f32 (pow.f32 (/.f32 (.f32 x x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 3 binary32)) (pow.f32 (/.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 3 binary32))) (fma.f32 (/.f32 (.f32 x x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (/.f32 (.f32 x x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (fma.f32 (/.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (.f32 (/.f32 (*.f32 x x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))))
(*.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
(*.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1 binary32))
(*.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (/.f32 (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
(*.f32 #s(literal -1 binary32) (neg.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))
(*.f32 #s(literal -1 binary32) (pow.f32 (neg.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)))
(.f32 (fma.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (.f32 x (.f32 x x))) (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 x x (fma.f32 x x #s(literal 1 binary32))) (.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))
(.f32 (-.f32 (.f32 x x) (fma.f32 x x #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
(*.f32 (/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) #s(literal -1 binary32))
(.f32 (pow.f32 (fma.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (.f32 x (.f32 x x))) #s(literal 1 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 x x (fma.f32 x x #s(literal 1 binary32))) (.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) #s(literal 1 binary32)))
(.f32 (pow.f32 (-.f32 (.f32 x x) (fma.f32 x x #s(literal 1 binary32))) #s(literal 1 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)))
(*.f32 (pow.f32 (/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) #s(literal 1 binary32)) #s(literal -1 binary32))
(*.f32 (pow.f32 (pow.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal -1/2 binary32)) #s(literal -1 binary32)) (pow.f32 (pow.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal -1/2 binary32)) #s(literal -1 binary32)))
(.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (.f32 x (.f32 x x)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 x x (fma.f32 x x #s(literal 1 binary32))) (.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))
(.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 (.f32 x x) (fma.f32 x x #s(literal 1 binary32)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
(.f32 (/.f32 (-.f32 (fma.f32 x x (fma.f32 x x #s(literal 1 binary32))) (.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)) (/.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (-.f32 (fma.f32 x x (fma.f32 x x #s(literal 1 binary32))) (*.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))

simplify548.0ms (5.4%)

Memory

19.9MiB live, 581.6MiB allocated

Algorithm

1×	egg-herbie

Rules

7 898×	`lower-fma.f64`
7 898×	`lower-fma.f32`
4 508×	`lower-*.f64`
4 508×	`lower-*.f32`
3 530×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	526	5126
1	1566	4878
2	5000	4207
0	8522	3903

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 296

Calls

Call 1

Inputs
(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)))
(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)))
(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 (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))))
(- 1 (fabs x))
(- (+ 1 (* (pow x 2) (- 1 (fabs x)))) (fabs x))
(- (+ 1 (* (pow x 2) (- (* (pow x 2) (- 1 (fabs x))) (* -1 (- 1 (fabs x)))))) (fabs x))
(- (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- 1 (fabs x))) (* -1 (- 1 (fabs x))))) (* -1 (- 1 (fabs x)))))) (fabs x))
(* -1 (/ (- 1 (fabs x)) (pow x 2)))
(/ (- (+ (* -1 (- 1 (fabs x))) (/ (fabs x) (pow x 2))) (/ 1 (pow x 2))) (pow x 2))
(/ (- (+ (* -1 (- 1 (fabs x))) (+ (/ (fabs x) (pow x 2)) (/ (fabs x) (pow x 4)))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) (pow x 2))
(/ (- (+ (* -1 (- 1 (fabs x))) (+ (/ (fabs x) (pow x 2)) (/ (fabs x) (pow x 6)))) (+ (* -1 (/ (- (fabs x) 1) (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))))) (pow x 2))
(* -1 (/ (- 1 (fabs x)) (pow x 2)))
(/ (- (+ (* -1 (- 1 (fabs x))) (/ (fabs x) (pow x 2))) (/ 1 (pow x 2))) (pow x 2))
(/ (- (+ (* -1 (- 1 (fabs x))) (+ (/ (fabs x) (pow x 2)) (/ (fabs x) (pow x 4)))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) (pow x 2))
(/ (- (+ (* -1 (- 1 (fabs x))) (+ (/ (fabs x) (pow x 2)) (/ (fabs x) (pow x 6)))) (+ (* -1 (/ (- (fabs x) 1) (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))))) (pow x 2))
(copysign (neg (log (/ (- 1 (fabs x)) (- 1 (pow x 2))))) x)
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(copysign (neg (log (/ (- 1 (fabs x)) (- 1 (pow x 2))))) x)
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(* -1 (log (- 1 (fabs x))))
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(/ 1 (+ 1 (fabs x)))
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(/ -1 x)
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(log (/ 1 (+ 1 (fabs x))))
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(log (/ 1 x))
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(log (/ -1 x))
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(* -1 (log (/ -1 x)))
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(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
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(* 1/2 x)
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1
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x
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(* -1 x)
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(/ -1 x)
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x
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Outputs
(copysign (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) x)
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(copysign (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) x)
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(copysign (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) x)
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(*.f32 x #s(literal 1/2 binary32))
(* 1/2 x)
(*.f32 x #s(literal 1/2 binary32))
(* 1/2 x)
(*.f32 x #s(literal 1/2 binary32))
(* 1/2 x)
(*.f32 x #s(literal 1/2 binary32))
(* 1/2 x)
(*.f32 x #s(literal 1/2 binary32))
1
#s(literal 1 binary32)
(+ 1 (* 1/2 (pow x 2)))
(fma.f32 x (*.f32 x #s(literal 1/2 binary32)) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal -1/8 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/16 binary32) #s(literal -1/8 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32))
x
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(fma.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) x)
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(+.f32 x (.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 x x)) (/.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) (*.f32 x x))))))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(.f32 x (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 x x)) (+.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) (*.f32 x x)))))))
(* -1 x)
(neg.f32 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(fma.f32 x (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) (neg.f32 x))
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(.f32 (neg.f32 x) (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 x x)) (/.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) (*.f32 x x))))))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(.f32 (neg.f32 x) (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 x x)) (+.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) (*.f32 x x)))))))
(/ 1 (+ 1 (fabs x)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
(+ (* -1/2 (/ (pow x 2) (pow (+ 1 (fabs x)) 2))) (/ 1 (+ 1 (fabs x))))
(fma.f32 (.f32 x x) (/.f32 #s(literal -1/2 binary32) (.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 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))))
(fma.f32 x (.f32 x (fma.f32 x (.f32 x (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (/.f32 #s(literal 1/4 binary32) (.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))))) (/.f32 #s(literal -1/2 binary32) (.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 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))))
(fma.f32 (.f32 x x) (fma.f32 x (.f32 x (fma.f32 (.f32 x (neg.f32 x)) (fma.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (/.f32 #s(literal 1/4 binary32) (.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))))) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 (/.f32 #s(literal 1/16 binary32) (.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (/.f32 #s(literal 1/16 binary32) (.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))))) (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (/.f32 #s(literal 1/4 binary32) (.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))))))) (/.f32 #s(literal -1/2 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))
(/ 1 x)
(/.f32 #s(literal 1 binary32) x)
(/ (+ 1 (* -1 (/ (fabs x) x))) x)
(/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) x)) x)
(/ (- (+ 1 (* -1 (/ (+ 1/2 (* -1 (pow (fabs x) 2))) (pow x 2)))) (/ (fabs x) x)) x)
(/.f32 (+.f32 #s(literal 1 binary32) (-.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) (*.f32 x x))) (/.f32 (fabs.f32 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)
(/.f32 (-.f32 (+.f32 (/.f32 (.f32 (fabs.f32 x) (+.f32 (fma.f32 x x #s(literal -1/2 binary32)) #s(literal -1/2 binary32))) (.f32 x (.f32 x (neg.f32 x)))) #s(literal 2 binary32)) (+.f32 (/.f32 (fabs.f32 x) x) (/.f32 #s(literal 1/2 binary32) (.f32 x x)))) x)
(/ -1 x)
(/.f32 #s(literal -1 binary32) x)
(* -1 (/ (+ 1 (/ (fabs x) x)) x))
(/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (fabs.f32 x) x)) x)
(* -1 (/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow (fabs x) 2) x)) (* 1/2 (/ 1 x))) (fabs x)) x))) x))
(/.f32 (+.f32 #s(literal -1 binary32) (-.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (/.f32 (fabs.f32 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))
(/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (fabs.f32 x) (/.f32 (+.f32 (/.f32 (*.f32 (fabs.f32 x) (+.f32 (fma.f32 x x #s(literal -1/2 binary32)) #s(literal -1/2 binary32))) x) (fma.f32 x x #s(literal -1/2 binary32))) x)) x)) (neg.f32 x))
(+ 1 (fabs x))
(+.f32 #s(literal 1 binary32) (fabs.f32 x))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))
(fma.f32 (.f32 (fma.f32 (.f32 x x) #s(literal -1/8 binary32) #s(literal 1/2 binary32)) x) x (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))
(fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/16 binary32) #s(literal -1/8 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
x
(* x (+ 1 (/ (fabs x) x)))
(fma.f32 x (/.f32 (fabs.f32 x) x) x)
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))
(fma.f32 x (+.f32 (/.f32 (fabs.f32 x) x) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x)
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))
(.f32 x (+.f32 (+.f32 (/.f32 (fabs.f32 x) x) (/.f32 #s(literal 1/2 binary32) (.f32 x x))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) (*.f32 x x))))))
(* -1 x)
(neg.f32 x)
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(fma.f32 x (/.f32 (fabs.f32 x) x) (neg.f32 x))
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))
(fma.f32 x (/.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) x)) x) (neg.f32 x))
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))
(fma.f32 x (/.f32 (-.f32 (fabs.f32 x) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x)) x) (neg.f32 x))

eval197.0ms (1.9%)

Memory: -2.6MiB live, 264.3MiB allocated
Compiler: Compiled 30 950 to 4 559 computations (85.3% saved)

prune150.0ms (1.5%)

Memory

21.0MiB live, 376.3MiB allocated

Pruning

22 alts after pruning (16 fresh and 6 done)

	Pruned	Kept	Total
New	1 206	8	1 214
Fresh	0	8	8
Picked	3	2	5
Done	0	4	4
Total	1 209	22	1 231

Accuracy

100.0%

Counts

1 231 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	49.3%	(copysign.f32 (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (/.f32 #s(literal -1/8 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (log1p.f32 (fabs.f32 x))) x)
	16.4%	(copysign.f32 (fma.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (log.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) x)
	50.4%	(copysign.f32 (fma.f32 x (.f32 x (fma.f32 #s(literal -1/24 binary32) (.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (log1p.f32 (fabs.f32 x))) x)
	45.6%	(copysign.f32 (-.f32 (log1p.f32 (neg.f32 (.f32 (fma.f32 x (.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)) (fma.f32 x (.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))))) (log1p.f32 (neg.f32 (fma.f32 x (.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))))) x)
▶	12.8%	(copysign.f32 (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x) x)
▶	43.4%	(copysign.f32 (neg.f32 (fma.f32 x x (log1p.f32 (neg.f32 (fabs.f32 x))))) x)
	14.3%	(copysign.f32 (neg.f32 (log.f32 (/.f32 (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (-.f32 (*.f32 x x) (fma.f32 x x #s(literal 1 binary32)))))) x)
	42.3%	(copysign.f32 (neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) x)
	9.0%	(copysign.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)))) x)
▶	56.1%	(copysign.f32 (log1p.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))) x)
✓	67.0%	(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
	40.9%	(copysign.f32 (log.f32 (fma.f32 (fma.f32 x x #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fabs.f32 x))) x)
	27.9%	(copysign.f32 (log.f32 (/.f32 #s(literal -1/2 binary32) x)) x)
✓	30.7%	(copysign.f32 (log.f32 (-.f32 (fabs.f32 x) x)) x)
✓	28.4%	(copysign.f32 (log.f32 (+.f32 (-.f32 (fabs.f32 x) x) (/.f32 #s(literal -1/2 binary32) x))) x)
	42.3%	(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
▶	22.5%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) #s(literal 1 binary32))))) x)
	31.3%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (+.f32 x (/.f32 #s(literal 1/2 binary32) x)))) x)
	32.4%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x)
✓	32.3%	(copysign.f32 (log.f32 (+.f32 x (fabs.f32 x))) x)
✓	20.2%	(copysign.f32 (log.f32 (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)))) x)
✓	14.4%	(copysign.f32 (log.f32 x) x)

Compiler

Compiled 592 to 340 computations (42.6% saved)

simplify204.0ms (2%)

Memory

6.0MiB live, 333.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (/.f32 #s(literal -1/8 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (log1p.f32 (fabs.f32 x)))
✓	cost-diff	0	(copysign.f32 (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (/.f32 #s(literal -1/8 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (log1p.f32 (fabs.f32 x))) x)
✓	cost-diff	64	(*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
✓	cost-diff	256	(fma.f32 (.f32 x x) (/.f32 #s(literal -1/8 binary32) (.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))
✓	cost-diff	0	(fabs.f32 x)
✓	cost-diff	0	(+.f32 (fabs.f32 x) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) #s(literal 1 binary32))))
✓	cost-diff	0	(log.f32 (+.f32 (fabs.f32 x) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) #s(literal 1 binary32)))))
✓	cost-diff	0	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) #s(literal 1 binary32))))) x)
✓	cost-diff	0	(log1p.f32 (neg.f32 (fabs.f32 x)))
✓	cost-diff	0	(fma.f32 x x (log1p.f32 (neg.f32 (fabs.f32 x))))
✓	cost-diff	0	(neg.f32 (fma.f32 x x (log1p.f32 (neg.f32 (fabs.f32 x)))))
✓	cost-diff	0	(copysign.f32 (neg.f32 (fma.f32 x x (log1p.f32 (neg.f32 (fabs.f32 x))))) x)
✓	cost-diff	0	(/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
✓	cost-diff	0	(*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x)
✓	cost-diff	0	(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x)
✓	cost-diff	0	(copysign.f32 (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x) x)
✓	cost-diff	0	(*.f32 x #s(literal 1/2 binary32))
✓	cost-diff	0	(fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))
✓	cost-diff	0	(log1p.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)))
✓	cost-diff	0	(copysign.f32 (log1p.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))) x)

Rules

6 482×	`lower-fma.f64`
6 470×	`lower-fma.f32`
3 874×	`lower-*.f64`
3 864×	`lower-*.f32`
1 444×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	308
0	65	308
1	118	308
2	216	308
3	417	302
4	813	302
5	1728	302
6	2971	302
7	5268	296
0	8205	291

Stop Event

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

Calls

Call 1

Inputs
(copysign.f32 (log1p.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))) x)
(log1p.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)))
(fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))
x
(*.f32 x #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
(fabs.f32 x)
(copysign.f32 (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x) x)
(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x)
(*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x)
(/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
#s(literal 1/2 binary32)
(+.f32 #s(literal 1 binary32) (fabs.f32 x))
#s(literal 1 binary32)
(fabs.f32 x)
x
(copysign.f32 (neg.f32 (fma.f32 x x (log1p.f32 (neg.f32 (fabs.f32 x))))) x)
(neg.f32 (fma.f32 x x (log1p.f32 (neg.f32 (fabs.f32 x)))))
(fma.f32 x x (log1p.f32 (neg.f32 (fabs.f32 x))))
x
(log1p.f32 (neg.f32 (fabs.f32 x)))
(neg.f32 (fabs.f32 x))
(fabs.f32 x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) #s(literal 1 binary32))))) x)
(log.f32 (+.f32 (fabs.f32 x) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) #s(literal 1 binary32)))))
(+.f32 (fabs.f32 x) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) #s(literal 1 binary32))))
(fabs.f32 x)
x
(/.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) #s(literal 1 binary32)))
(fma.f32 x x #s(literal 1 binary32))
#s(literal 1 binary32)
(fma.f32 x (*.f32 x #s(literal 1/2 binary32)) #s(literal 1 binary32))
(*.f32 x #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
(copysign.f32 (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (/.f32 #s(literal -1/8 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (log1p.f32 (fabs.f32 x))) x)
(fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (/.f32 #s(literal -1/8 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (log1p.f32 (fabs.f32 x)))
(*.f32 x x)
x
(fma.f32 (.f32 x x) (/.f32 #s(literal -1/8 binary32) (.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))
(/.f32 #s(literal -1/8 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))
#s(literal -1/8 binary32)
(*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
(+.f32 #s(literal 1 binary32) (fabs.f32 x))
#s(literal 1 binary32)
(fabs.f32 x)
(/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
#s(literal 1/2 binary32)
(log1p.f32 (fabs.f32 x))

Outputs
(copysign.f32 (log1p.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))) x)
(log1p.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)))
(fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))
x
(*.f32 x #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
(fabs.f32 x)
(copysign.f32 (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x) x)
(copysign.f32 (/.f32 (.f32 x (.f32 x #s(literal 1/2 binary32))) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x)
(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x)
(/.f32 (.f32 x (.f32 x #s(literal 1/2 binary32))) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))
(*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x)
(/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))
(/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
(/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))
#s(literal 1/2 binary32)
(+.f32 #s(literal 1 binary32) (fabs.f32 x))
(+.f32 (fabs.f32 x) #s(literal 1 binary32))
#s(literal 1 binary32)
(fabs.f32 x)
x
(copysign.f32 (neg.f32 (fma.f32 x x (log1p.f32 (neg.f32 (fabs.f32 x))))) x)
(neg.f32 (fma.f32 x x (log1p.f32 (neg.f32 (fabs.f32 x)))))
(fma.f32 x x (log1p.f32 (neg.f32 (fabs.f32 x))))
x
(log1p.f32 (neg.f32 (fabs.f32 x)))
(neg.f32 (fabs.f32 x))
(fabs.f32 x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) #s(literal 1 binary32))))) x)
(log.f32 (+.f32 (fabs.f32 x) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) #s(literal 1 binary32)))))
(+.f32 (fabs.f32 x) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) #s(literal 1 binary32))))
(fabs.f32 x)
x
(/.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) #s(literal 1 binary32)))
(fma.f32 x x #s(literal 1 binary32))
#s(literal 1 binary32)
(fma.f32 x (*.f32 x #s(literal 1/2 binary32)) #s(literal 1 binary32))
(*.f32 x #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
(copysign.f32 (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (/.f32 #s(literal -1/8 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (log1p.f32 (fabs.f32 x))) x)
(copysign.f32 (fma.f32 x (.f32 (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (fma.f32 x (/.f32 (.f32 x #s(literal -1/8 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal 1/2 binary32))) (log1p.f32 (fabs.f32 x))) x)
(fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (/.f32 #s(literal -1/8 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (log1p.f32 (fabs.f32 x)))
(fma.f32 x (.f32 (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (fma.f32 x (/.f32 (.f32 x #s(literal -1/8 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal 1/2 binary32))) (log1p.f32 (fabs.f32 x)))
(*.f32 x x)
x
(fma.f32 (.f32 x x) (/.f32 #s(literal -1/8 binary32) (.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))
(/.f32 (fma.f32 x (/.f32 (*.f32 x #s(literal -1/8 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))
(/.f32 #s(literal -1/8 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))
(/.f32 #s(literal -1/8 binary32) (fma.f32 (fabs.f32 x) (+.f32 (fabs.f32 x) #s(literal 2 binary32)) #s(literal 1 binary32)))
#s(literal -1/8 binary32)
(*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
(fma.f32 (fabs.f32 x) (+.f32 (fabs.f32 x) #s(literal 2 binary32)) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (fabs.f32 x))
(+.f32 (fabs.f32 x) #s(literal 1 binary32))
#s(literal 1 binary32)
(fabs.f32 x)
(/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
(/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))
#s(literal 1/2 binary32)
(log1p.f32 (fabs.f32 x))

localize202.0ms (2%)

Memory

-0.6MiB live, 264.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (/.f32 #s(literal -1/8 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (log1p.f32 (fabs.f32 x)))
✓	accuracy	99.8%	(*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
✓	accuracy	99.8%	(/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
✓	accuracy	99.8%	(/.f32 #s(literal -1/8 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))
✓	accuracy	100.0%	(fabs.f32 x)
✓	accuracy	100.0%	(+.f32 (fabs.f32 x) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) #s(literal 1 binary32))))
✓	accuracy	99.9%	(/.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) #s(literal 1 binary32)))
✓	accuracy	64.0%	(log.f32 (+.f32 (fabs.f32 x) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) #s(literal 1 binary32)))))
✓	accuracy	100.0%	(neg.f32 (fabs.f32 x))
✓	accuracy	100.0%	(log1p.f32 (neg.f32 (fabs.f32 x)))
✓	accuracy	100.0%	(fabs.f32 x)
✓	accuracy	99.9%	(fma.f32 x x (log1p.f32 (neg.f32 (fabs.f32 x))))
✓	accuracy	100.0%	(fabs.f32 x)
✓	accuracy	100.0%	(*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x)
✓	accuracy	100.0%	(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x)
✓	accuracy	99.8%	(/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
✓	accuracy	100.0%	(copysign.f32 (log1p.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))) x)
✓	accuracy	100.0%	(*.f32 x #s(literal 1/2 binary32))
✓	accuracy	100.0%	(fabs.f32 x)
✓	accuracy	100.0%	(log1p.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)))

Samples

71.0ms	86×	1	valid
36.0ms	138×	0	invalid
8.0ms	32×	0	valid

Compiler

Compiled 349 to 37 computations (89.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 72.0ms

ival-mult: 17.0ms (23.5% of total)

ival-copysign: 11.0ms (15.2% of total)

ival-add: 11.0ms (15.2% of total)

ival-log1p: 11.0ms (15.2% of total)

ival-div: 6.0ms (8.3% of total)

adjust: 6.0ms (8.3% of total)

ival-log: 6.0ms (8.3% of total)

ival-neg: 2.0ms (2.8% of total)

ival-fabs: 1.0ms (1.4% of total)

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

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

exact: 0.0ms (0% of total)

series125.0ms (1.2%)

Memory

1.6MiB live, 151.7MiB allocated

Counts

23 → 276

Calls

Call 1

Inputs
#<alt (copysign.f32 (log1p.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))) x)>
#<alt (log1p.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)))>
#<alt (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))>
#<alt (*.f32 x #s(literal 1/2 binary32))>
#<alt (copysign.f32 (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x) x)>
#<alt (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x)>
#<alt (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x)>
#<alt (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))>
#<alt (copysign.f32 (neg.f32 (fma.f32 x x (log1p.f32 (neg.f32 (fabs.f32 x))))) x)>
#<alt (neg.f32 (fma.f32 x x (log1p.f32 (neg.f32 (fabs.f32 x)))))>
#<alt (fma.f32 x x (log1p.f32 (neg.f32 (fabs.f32 x))))>
#<alt (log1p.f32 (neg.f32 (fabs.f32 x)))>
#<alt (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) #s(literal 1 binary32))))) x)>
#<alt (log.f32 (+.f32 (fabs.f32 x) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) #s(literal 1 binary32)))))>
#<alt (+.f32 (fabs.f32 x) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) #s(literal 1 binary32))))>
#<alt (fabs.f32 x)>
#<alt (fma.f32 (.f32 x x) (/.f32 #s(literal -1/8 binary32) (.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))>
#<alt (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))>
#<alt (copysign.f32 (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (/.f32 #s(literal -1/8 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (log1p.f32 (fabs.f32 x))) x)>
#<alt (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (/.f32 #s(literal -1/8 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (log1p.f32 (fabs.f32 x)))>
#<alt (neg.f32 (fabs.f32 x))>
#<alt (/.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) #s(literal 1 binary32)))>
#<alt (/.f32 #s(literal -1/8 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))>

Outputs
#<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 (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 (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 (* 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 (copysign (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) x)>
#<alt (copysign (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) x)>
#<alt (copysign (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) x)>
#<alt (copysign (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) x)>
#<alt (copysign (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) x)>
#<alt (copysign (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) x)>
#<alt (copysign (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) x)>
#<alt (copysign (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) x)>
#<alt (copysign (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) x)>
#<alt (copysign (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) x)>
#<alt (copysign (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) x)>
#<alt (copysign (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) x)>
#<alt (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))>
#<alt (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))>
#<alt (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))>
#<alt (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))>
#<alt (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))>
#<alt (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))>
#<alt (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))>
#<alt (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))>
#<alt (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))>
#<alt (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))>
#<alt (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))>
#<alt (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))>
#<alt (* 1/2 (/ x (+ 1 (fabs x))))>
#<alt (* 1/2 (/ x (+ 1 (fabs x))))>
#<alt (* 1/2 (/ x (+ 1 (fabs x))))>
#<alt (* 1/2 (/ x (+ 1 (fabs x))))>
#<alt (* 1/2 (/ x (+ 1 (fabs x))))>
#<alt (* 1/2 (/ x (+ 1 (fabs x))))>
#<alt (* 1/2 (/ x (+ 1 (fabs x))))>
#<alt (* 1/2 (/ x (+ 1 (fabs x))))>
#<alt (* 1/2 (/ x (+ 1 (fabs x))))>
#<alt (* 1/2 (/ x (+ 1 (fabs x))))>
#<alt (* 1/2 (/ x (+ 1 (fabs x))))>
#<alt (* 1/2 (/ x (+ 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 (+ 1 (fabs x)))>
#<alt (copysign (neg (+ (log (- 1 (fabs x))) (pow x 2))) x)>
#<alt (copysign (neg (+ (log (- 1 (fabs x))) (pow x 2))) x)>
#<alt (copysign (neg (+ (log (- 1 (fabs x))) (pow x 2))) x)>
#<alt (copysign (neg (+ (log (- 1 (fabs x))) (pow x 2))) x)>
#<alt (copysign (neg (+ (log (- 1 (fabs x))) (pow x 2))) x)>
#<alt (copysign (neg (+ (log (- 1 (fabs x))) (pow x 2))) x)>
#<alt (copysign (neg (+ (log (- 1 (fabs x))) (pow x 2))) x)>
#<alt (copysign (neg (+ (log (- 1 (fabs x))) (pow x 2))) x)>
#<alt (copysign (neg (+ (log (- 1 (fabs x))) (pow x 2))) x)>
#<alt (copysign (neg (+ (log (- 1 (fabs x))) (pow x 2))) x)>
#<alt (copysign (neg (+ (log (- 1 (fabs x))) (pow x 2))) x)>
#<alt (copysign (neg (+ (log (- 1 (fabs x))) (pow x 2))) x)>
#<alt (* -1 (log (- 1 (fabs x))))>
#<alt (- (* -1 (pow x 2)) (log (- 1 (fabs x))))>
#<alt (- (* -1 (pow x 2)) (log (- 1 (fabs x))))>
#<alt (- (* -1 (pow x 2)) (log (- 1 (fabs x))))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (* -1 (/ (log (- 1 (fabs x))) (pow x 2))) 1))>
#<alt (* (pow x 2) (- (* -1 (/ (log (- 1 (fabs x))) (pow x 2))) 1))>
#<alt (* (pow x 2) (- (* -1 (/ (log (- 1 (fabs x))) (pow x 2))) 1))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (* -1 (/ (log (- 1 (fabs x))) (pow x 2))) 1))>
#<alt (* (pow x 2) (- (* -1 (/ (log (- 1 (fabs x))) (pow x 2))) 1))>
#<alt (* (pow x 2) (- (* -1 (/ (log (- 1 (fabs x))) (pow x 2))) 1))>
#<alt (log (- 1 (fabs x)))>
#<alt (+ (log (- 1 (fabs x))) (pow x 2))>
#<alt (+ (log (- 1 (fabs x))) (pow x 2))>
#<alt (+ (log (- 1 (fabs x))) (pow x 2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ (log (- 1 (fabs x))) (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ (log (- 1 (fabs x))) (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ (log (- 1 (fabs x))) (pow x 2))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ (log (- 1 (fabs x))) (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ (log (- 1 (fabs x))) (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ (log (- 1 (fabs x))) (pow x 2))))>
#<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 (copysign (log (+ (fabs x) (+ (/ 1 (+ 1 (* 1/2 (pow x 2)))) (/ (pow x 2) (+ 1 (* 1/2 (pow x 2))))))) x)>
#<alt (copysign (log (+ (fabs x) (+ (/ 1 (+ 1 (* 1/2 (pow x 2)))) (/ (pow x 2) (+ 1 (* 1/2 (pow x 2))))))) x)>
#<alt (copysign (log (+ (fabs x) (+ (/ 1 (+ 1 (* 1/2 (pow x 2)))) (/ (pow x 2) (+ 1 (* 1/2 (pow x 2))))))) x)>
#<alt (copysign (log (+ (fabs x) (+ (/ 1 (+ 1 (* 1/2 (pow x 2)))) (/ (pow x 2) (+ 1 (* 1/2 (pow x 2))))))) x)>
#<alt (copysign (log (+ (fabs x) (+ (/ 1 (+ 1 (* 1/2 (pow x 2)))) (/ (pow x 2) (+ 1 (* 1/2 (pow x 2))))))) x)>
#<alt (copysign (log (+ (fabs x) (+ (/ 1 (+ 1 (* 1/2 (pow x 2)))) (/ (pow x 2) (+ 1 (* 1/2 (pow x 2))))))) x)>
#<alt (copysign (log (+ (fabs x) (+ (/ 1 (+ 1 (* 1/2 (pow x 2)))) (/ (pow x 2) (+ 1 (* 1/2 (pow x 2))))))) x)>
#<alt (copysign (log (+ (fabs x) (+ (/ 1 (+ 1 (* 1/2 (pow x 2)))) (/ (pow x 2) (+ 1 (* 1/2 (pow x 2))))))) x)>
#<alt (copysign (log (+ (fabs x) (+ (/ 1 (+ 1 (* 1/2 (pow x 2)))) (/ (pow x 2) (+ 1 (* 1/2 (pow x 2))))))) x)>
#<alt (copysign (log (+ (fabs x) (+ (/ 1 (+ 1 (* 1/2 (pow x 2)))) (/ (pow x 2) (+ 1 (* 1/2 (pow x 2))))))) x)>
#<alt (copysign (log (+ (fabs x) (+ (/ 1 (+ 1 (* 1/2 (pow x 2)))) (/ (pow x 2) (+ 1 (* 1/2 (pow x 2))))))) x)>
#<alt (copysign (log (+ (fabs x) (+ (/ 1 (+ 1 (* 1/2 (pow x 2)))) (/ (pow x 2) (+ 1 (* 1/2 (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) (+ (* 6 (/ 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 (+ (* 6 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 90 (/ 1 (+ 1 (fabs x)))) (+ (* 90 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))>
#<alt (log (+ 2 (fabs x)))>
#<alt (- (log (+ 2 (fabs x))) (* 2 (/ 1 (* (pow x 2) (+ 2 (fabs x))))))>
#<alt (- (+ (log (+ 2 (fabs x))) (* 1/24 (/ (- (* 96 (/ 1 (+ 2 (fabs x)))) (* 48 (/ 1 (pow (+ 2 (fabs x)) 2)))) (pow x 4)))) (/ 2 (* (pow x 2) (+ 2 (fabs x)))))>
#<alt (- (+ (log (+ 2 (fabs x))) (+ (* 1/720 (/ (- (* 5760 (/ 1 (pow (+ 2 (fabs x)) 2))) (+ (* 1920 (/ 1 (pow (+ 2 (fabs x)) 3))) (* 5760 (/ 1 (+ 2 (fabs x)))))) (pow x 6))) (* 1/24 (/ (- (* 96 (/ 1 (+ 2 (fabs x)))) (* 48 (/ 1 (pow (+ 2 (fabs x)) 2)))) (pow x 4))))) (/ 2 (* (pow x 2) (+ 2 (fabs x)))))>
#<alt (log (+ 2 (fabs x)))>
#<alt (- (log (+ 2 (fabs x))) (* 2 (/ 1 (* (pow x 2) (+ 2 (fabs x))))))>
#<alt (- (+ (log (+ 2 (fabs x))) (* 1/24 (/ (- (* 96 (/ 1 (+ 2 (fabs x)))) (* 48 (/ 1 (pow (+ 2 (fabs x)) 2)))) (pow x 4)))) (/ 2 (* (pow x 2) (+ 2 (fabs x)))))>
#<alt (- (+ (log (+ 2 (fabs x))) (+ (* 1/720 (/ (- (* 5760 (/ 1 (pow (+ 2 (fabs x)) 2))) (+ (* 1920 (/ 1 (pow (+ 2 (fabs x)) 3))) (* 5760 (/ 1 (+ 2 (fabs x)))))) (pow x 6))) (* 1/24 (/ (- (* 96 (/ 1 (+ 2 (fabs x)))) (* 48 (/ 1 (pow (+ 2 (fabs x)) 2)))) (pow x 4))))) (/ 2 (* (pow x 2) (+ 2 (fabs x)))))>
#<alt (+ 1 (fabs x))>
#<alt (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))>
#<alt (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/4 (pow x 2))))))>
#<alt (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/8 (pow x 2)) 1/4))))))>
#<alt (+ 2 (fabs x))>
#<alt (- (+ 2 (fabs x)) (* 2 (/ 1 (pow x 2))))>
#<alt (- (+ 2 (+ (fabs x) (/ 4 (pow x 4)))) (* 2 (/ 1 (pow x 2))))>
#<alt (- (+ 2 (+ (fabs x) (/ 4 (pow x 4)))) (+ (* 2 (/ 1 (pow x 2))) (* 8 (/ 1 (pow x 6)))))>
#<alt (+ 2 (fabs x))>
#<alt (- (+ 2 (fabs x)) (* 2 (/ 1 (pow x 2))))>
#<alt (- (+ 2 (+ (fabs x) (/ 4 (pow x 4)))) (* 2 (/ 1 (pow x 2))))>
#<alt (- (+ 2 (+ (fabs x) (/ 4 (pow x 4)))) (+ (* 2 (/ 1 (pow x 2))) (* 8 (/ 1 (pow x 6)))))>
#<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 (/ 1/2 (+ 1 (fabs x)))>
#<alt (+ (* -1/8 (/ (pow x 2) (pow (+ 1 (fabs x)) 2))) (* 1/2 (/ 1 (+ 1 (fabs x)))))>
#<alt (+ (* -1/8 (/ (pow x 2) (pow (+ 1 (fabs x)) 2))) (* 1/2 (/ 1 (+ 1 (fabs x)))))>
#<alt (+ (* -1/8 (/ (pow x 2) (pow (+ 1 (fabs x)) 2))) (* 1/2 (/ 1 (+ 1 (fabs x)))))>
#<alt (* -1/8 (/ (pow x 2) (pow (+ 1 (fabs x)) 2)))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x))))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2)))))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x))))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2)))))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x))))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2)))))>
#<alt (* -1/8 (/ (pow x 2) (pow (+ 1 (fabs x)) 2)))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x))))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2)))))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x))))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2)))))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x))))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2)))))>
#<alt (pow (+ 1 (fabs x)) 2)>
#<alt (pow (+ 1 (fabs x)) 2)>
#<alt (pow (+ 1 (fabs x)) 2)>
#<alt (pow (+ 1 (fabs x)) 2)>
#<alt (pow (+ 1 (fabs x)) 2)>
#<alt (pow (+ 1 (fabs x)) 2)>
#<alt (pow (+ 1 (fabs x)) 2)>
#<alt (pow (+ 1 (fabs x)) 2)>
#<alt (pow (+ 1 (fabs x)) 2)>
#<alt (pow (+ 1 (fabs x)) 2)>
#<alt (pow (+ 1 (fabs x)) 2)>
#<alt (pow (+ 1 (fabs x)) 2)>
#<alt (copysign (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (+ 1 (fabs x)) 2))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) x)>
#<alt (copysign (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (+ 1 (fabs x)) 2))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) x)>
#<alt (copysign (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (+ 1 (fabs x)) 2))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) x)>
#<alt (copysign (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (+ 1 (fabs x)) 2))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) x)>
#<alt (copysign (- (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) (* 1/8 (/ (pow x 4) (pow (+ 1 (fabs x)) 2)))) x)>
#<alt (copysign (- (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) (* 1/8 (/ (pow x 4) (pow (+ 1 (fabs x)) 2)))) x)>
#<alt (copysign (- (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) (* 1/8 (/ (pow x 4) (pow (+ 1 (fabs x)) 2)))) x)>
#<alt (copysign (- (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) (* 1/8 (/ (pow x 4) (pow (+ 1 (fabs x)) 2)))) x)>
#<alt (copysign (- (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) (* 1/8 (/ (pow x 4) (pow (+ 1 (fabs x)) 2)))) x)>
#<alt (copysign (- (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) (* 1/8 (/ (pow x 4) (pow (+ 1 (fabs x)) 2)))) x)>
#<alt (copysign (- (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) (* 1/8 (/ (pow x 4) (pow (+ 1 (fabs x)) 2)))) x)>
#<alt (copysign (- (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) (* 1/8 (/ (pow x 4) (pow (+ 1 (fabs 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) (+ (* -1/8 (/ (pow x 2) (pow (+ 1 (fabs x)) 2))) (* 1/2 (/ 1 (+ 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 (* -1/8 (/ (pow x 4) (pow (+ 1 (fabs x)) 2)))>
#<alt (* (pow x 4) (- (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x))))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2)))))>
#<alt (* (pow x 4) (- (+ (/ 1/2 (* (pow x 2) (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 4))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2)))))>
#<alt (* (pow x 4) (- (+ (/ 1/2 (* (pow x 2) (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 4))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2)))))>
#<alt (* -1/8 (/ (pow x 4) (pow (+ 1 (fabs x)) 2)))>
#<alt (* (pow x 4) (- (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x))))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2)))))>
#<alt (* (pow x 4) (- (+ (/ 1/2 (* (pow x 2) (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 4))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2)))))>
#<alt (* (pow x 4) (- (+ (/ 1/2 (* (pow x 2) (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 4))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2)))))>
#<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 1>
#<alt (+ 1 (* 1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* -1/4 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/8 (pow x 2)) 1/4)))))>
#<alt 2>
#<alt (- 2 (* 2 (/ 1 (pow x 2))))>
#<alt (- (+ 2 (/ 4 (pow x 4))) (* 2 (/ 1 (pow x 2))))>
#<alt (- (+ 2 (/ 4 (pow x 4))) (+ (* 2 (/ 1 (pow x 2))) (* 8 (/ 1 (pow x 6)))))>
#<alt 2>
#<alt (- 2 (* 2 (/ 1 (pow x 2))))>
#<alt (- (+ 2 (/ 4 (pow x 4))) (* 2 (/ 1 (pow x 2))))>
#<alt (- (+ 2 (/ 4 (pow x 4))) (+ (* 2 (/ 1 (pow x 2))) (* 8 (/ 1 (pow x 6)))))>
#<alt (/ -1/8 (pow (+ 1 (fabs x)) 2))>
#<alt (/ -1/8 (pow (+ 1 (fabs x)) 2))>
#<alt (/ -1/8 (pow (+ 1 (fabs x)) 2))>
#<alt (/ -1/8 (pow (+ 1 (fabs x)) 2))>
#<alt (/ -1/8 (pow (+ 1 (fabs x)) 2))>
#<alt (/ -1/8 (pow (+ 1 (fabs x)) 2))>
#<alt (/ -1/8 (pow (+ 1 (fabs x)) 2))>
#<alt (/ -1/8 (pow (+ 1 (fabs x)) 2))>
#<alt (/ -1/8 (pow (+ 1 (fabs x)) 2))>
#<alt (/ -1/8 (pow (+ 1 (fabs x)) 2))>
#<alt (/ -1/8 (pow (+ 1 (fabs x)) 2))>
#<alt (/ -1/8 (pow (+ 1 (fabs x)) 2))>

Calls

69 calls:

Time	Variable		Point	Expression
48.0ms	x	@	inf	(+ (* (* x x) (/ -1/8 (* (+ 1 (fabs x)) (+ 1 (fabs x))))) (/ 1/2 (+ 1 (fabs x))))
20.0ms	x	@	0	(log (+ 1 (neg (fabs x))))
13.0ms	x	@	inf	(log (+ 1 (neg (fabs x))))
13.0ms	x	@	-inf	(log (+ 1 (neg (fabs x))))
4.0ms	x	@	0	(neg (+ (* x x) (log (+ 1 (neg (fabs x))))))

rewrite435.0ms (4.3%)

Memory

-26.9MiB live, 548.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 432×	`lower-/.f64`
4 426×	`lower-/.f32`
4 358×	`lower-*.f64`
4 354×	`lower-fma.f64`
4 348×	`lower-*.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	254
0	65	239
1	250	239
2	2094	235
0	8883	235

Stop Event

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

Counts

23 → 683

Calls

Call 1

Inputs
(copysign.f32 (log1p.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))) x)
(log1p.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)))
(fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))
(*.f32 x #s(literal 1/2 binary32))
(copysign.f32 (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x) x)
(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x)
(*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x)
(/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
(copysign.f32 (neg.f32 (fma.f32 x x (log1p.f32 (neg.f32 (fabs.f32 x))))) x)
(neg.f32 (fma.f32 x x (log1p.f32 (neg.f32 (fabs.f32 x)))))
(fma.f32 x x (log1p.f32 (neg.f32 (fabs.f32 x))))
(log1p.f32 (neg.f32 (fabs.f32 x)))
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) #s(literal 1 binary32))))) x)
(log.f32 (+.f32 (fabs.f32 x) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) #s(literal 1 binary32)))))
(+.f32 (fabs.f32 x) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) #s(literal 1 binary32))))
(fabs.f32 x)
(fma.f32 (.f32 x x) (/.f32 #s(literal -1/8 binary32) (.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))
(*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
(copysign.f32 (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (/.f32 #s(literal -1/8 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (log1p.f32 (fabs.f32 x))) x)
(fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (/.f32 #s(literal -1/8 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (log1p.f32 (fabs.f32 x)))
(neg.f32 (fabs.f32 x))
(/.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) #s(literal 1 binary32)))
(/.f32 #s(literal -1/8 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))

Outputs
(copysign.f32 (log1p.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))) x)
(log1p.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)))
(neg.f32 (log.f32 (/.f32 (fma.f32 (fma.f32 x (.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)) (-.f32 (fma.f32 x (.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)) #s(literal 1 binary32)) #s(literal 1 binary32)) (fma.f32 (fma.f32 x (.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)) (.f32 (fma.f32 x (.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)) (fma.f32 x (.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))) #s(literal 1 binary32)))))
(neg.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) (fma.f32 x (.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))) (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 x (.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)) (fma.f32 x (.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)))))))
(+.f32 (log1p.f32 (.f32 (fma.f32 x (.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)) (.f32 (fma.f32 x (.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)) (fma.f32 x (.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))))) (log.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 x (.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)) (-.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(+.f32 (log1p.f32 (neg.f32 (.f32 (fma.f32 x (.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)) (fma.f32 x (.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))))) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (fma.f32 x (.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))))))
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(.f32 (-.f32 (.f32 x (.f32 (.f32 x (fma.f32 x (/.f32 (.f32 x #s(literal -1/8 binary32)) (.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))) (.f32 (.f32 x x) (fma.f32 x (/.f32 (.f32 x #s(literal -1/8 binary32)) (.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))))) (pow.f32 (log1p.f32 (fabs.f32 x)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 x x) (fma.f32 x (/.f32 (.f32 x #s(literal -1/8 binary32)) (*.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (neg.f32 (log1p.f32 (fabs.f32 x))))))
(neg.f32 (fabs.f32 x))
(+.f32 #s(literal 0 binary32) (neg.f32 (fabs.f32 x)))
(-.f32 #s(literal 0 binary32) (fabs.f32 x))
(/.f32 (*.f32 x (neg.f32 x)) (+.f32 #s(literal 0 binary32) (fabs.f32 x)))
(/.f32 (-.f32 #s(literal 0 binary32) (.f32 x (.f32 x x))) (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) (fabs.f32 x)))))
(/.f32 (neg.f32 (*.f32 x (neg.f32 x))) (neg.f32 (+.f32 #s(literal 0 binary32) (fabs.f32 x))))
(/.f32 (neg.f32 (-.f32 #s(literal 0 binary32) (.f32 x (.f32 x x)))) (neg.f32 (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) (fabs.f32 x))))))
(*.f32 (fabs.f32 x) #s(literal -1 binary32))
(*.f32 #s(literal 1 binary32) (neg.f32 (fabs.f32 x)))
(*.f32 (neg.f32 (fabs.f32 x)) #s(literal 1 binary32))
(*.f32 #s(literal -1 binary32) (fabs.f32 x))
(neg.f32 (/.f32 (fma.f32 x x #s(literal 1 binary32)) (neg.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32)))))
(neg.f32 (/.f32 (fma.f32 x (neg.f32 x) #s(literal -1 binary32)) (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32))))
(exp.f32 (.f32 (log.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 x x) #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32)))) #s(literal -1 binary32)))
(pow.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32))) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32))) #s(literal 1 binary32)) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32))))))
(/.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32)))
(/.f32 (fma.f32 x (neg.f32 x) #s(literal -1 binary32)) (neg.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32))))
(/.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 x x)) #s(literal 1 binary32)) (.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 x x) #s(literal 1 binary32)) (fma.f32 x (.f32 x (.f32 x x)) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32))) #s(literal 1 binary32))))
(/.f32 (fma.f32 x (.f32 x (.f32 x x)) #s(literal -1 binary32)) (.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 x x) #s(literal 1 binary32)) (fma.f32 x x #s(literal -1 binary32))))
(/.f32 (.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 x x)) #s(literal 1 binary32)) #s(literal 1 binary32)) (.f32 (fma.f32 x (.f32 x (.f32 x x)) (-.f32 #s(literal 1 binary32) (.f32 x x))) (fma.f32 #s(literal 1/2 binary32) (.f32 x x) #s(literal 1 binary32))))
(/.f32 (.f32 (fma.f32 x (.f32 x (.f32 x x)) #s(literal -1 binary32)) #s(literal 1 binary32)) (.f32 (fma.f32 x x #s(literal -1 binary32)) (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32))))
(/.f32 (.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1 binary32)) (fma.f32 #s(literal 1/2 binary32) (.f32 x x) #s(literal 1 binary32)))
(/.f32 (neg.f32 (fma.f32 x (neg.f32 x) #s(literal -1 binary32))) (neg.f32 (neg.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32)))))
(/.f32 (neg.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 x x)) #s(literal 1 binary32))) (neg.f32 (.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 x x) #s(literal 1 binary32)) (fma.f32 x (.f32 x (.f32 x x)) (-.f32 #s(literal 1 binary32) (*.f32 x x))))))
(/.f32 (neg.f32 (fma.f32 x (.f32 x (.f32 x x)) #s(literal -1 binary32))) (neg.f32 (.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 x x) #s(literal 1 binary32)) (fma.f32 x x #s(literal -1 binary32)))))
(/.f32 (.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 x x)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/2 binary32) (.f32 x x) #s(literal 1 binary32)))) (fma.f32 x (.f32 x (.f32 x x)) (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(/.f32 (.f32 (fma.f32 x (.f32 x (.f32 x x)) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/2 binary32) (.f32 x x) #s(literal 1 binary32)))) (fma.f32 x x #s(literal -1 binary32)))
(/.f32 (neg.f32 (.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 x x)) #s(literal 1 binary32)) #s(literal 1 binary32))) (neg.f32 (.f32 (fma.f32 x (.f32 x (.f32 x x)) (-.f32 #s(literal 1 binary32) (.f32 x x))) (fma.f32 #s(literal 1/2 binary32) (.f32 x x) #s(literal 1 binary32)))))
(/.f32 (neg.f32 (.f32 (fma.f32 x (.f32 x (.f32 x x)) #s(literal -1 binary32)) #s(literal 1 binary32))) (neg.f32 (.f32 (fma.f32 x x #s(literal -1 binary32)) (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32)))))
(/.f32 (neg.f32 (.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1 binary32))) (neg.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 x x) #s(literal 1 binary32))))
(/.f32 (neg.f32 (neg.f32 (fma.f32 x (neg.f32 x) #s(literal -1 binary32)))) (neg.f32 (neg.f32 (neg.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32))))))
(/.f32 (neg.f32 (.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 x x)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/2 binary32) (.f32 x x) #s(literal 1 binary32))))) (neg.f32 (fma.f32 x (.f32 x (.f32 x x)) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))
(/.f32 (neg.f32 (.f32 (fma.f32 x (.f32 x (.f32 x x)) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/2 binary32) (.f32 x x) #s(literal 1 binary32))))) (neg.f32 (fma.f32 x x #s(literal -1 binary32))))
(.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 #s(literal 1/2 binary32) (.f32 x x) #s(literal 1 binary32))))
(.f32 (fma.f32 x x #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/2 binary32) (.f32 x x) #s(literal 1 binary32))))
(.f32 (fma.f32 x (neg.f32 x) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 x x) #s(literal 1 binary32)))))
(.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/2 binary32) (.f32 x x) #s(literal 1 binary32))) (fma.f32 x x #s(literal 1 binary32)))
(.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/2 binary32) (.f32 x x) #s(literal 1 binary32))) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32))) #s(literal -1 binary32)))
(.f32 (/.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 #s(literal 1/8 binary32) (.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 x x))) #s(literal 1 binary32))) (fma.f32 (.f32 x (.f32 x (.f32 x x))) #s(literal 1/4 binary32) (-.f32 #s(literal 1 binary32) (.f32 x (*.f32 x #s(literal 1/2 binary32))))))
(.f32 (/.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 (.f32 x (.f32 x (.f32 x x))) #s(literal 1/4 binary32) #s(literal -1 binary32))) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) #s(literal -1 binary32)))
(.f32 (pow.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 x x) #s(literal 1 binary32)) (fma.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 x x)) #s(literal 1 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 x (.f32 x (.f32 x x)) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))
(.f32 (pow.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 x x) #s(literal 1 binary32)) (fma.f32 x (.f32 x (.f32 x x)) #s(literal -1 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32))))
(neg.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))))
(exp.f32 (.f32 (log.f32 (.f32 (*.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal -8 binary32))) #s(literal -1 binary32)))
(pow.f32 (.f32 (.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal -8 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 (.f32 (.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal -8 binary32)) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (.f32 (.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal -8 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal -8 binary32)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (.f32 (.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal -8 binary32)))))
(/.f32 #s(literal -1/8 binary32) (*.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))
(/.f32 #s(literal -1/8 binary32) (neg.f32 (*.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (neg.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32))))))
(/.f32 #s(literal 1/8 binary32) (*.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (neg.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)))))
(/.f32 #s(literal 1/8 binary32) (neg.f32 (neg.f32 (*.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (neg.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (.f32 (.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal -8 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (.f32 (.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal -8 binary32)) #s(literal 1 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))))
(/.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))
(/.f32 (neg.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (neg.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32))))
(/.f32 (neg.f32 (neg.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))) (neg.f32 (neg.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)))))
(.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))))
(.f32 #s(literal -1/8 binary32) (/.f32 #s(literal 1 binary32) (.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))))
(.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1 binary32) (.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (neg.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32))))))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) #s(literal -1/8 binary32))
(*.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))
(.f32 (/.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (fma.f32 x (.f32 x x) #s(literal 1 binary32))) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (fabs.f32 x)))
(.f32 (/.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) (.f32 x x))) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))

simplify418.0ms (4.1%)

Memory

38.0MiB live, 707.4MiB allocated

Algorithm

1×	egg-herbie

Rules

12 210×	`lower-fma.f64`
12 210×	`lower-fma.f32`
4 446×	`lower-*.f64`
4 446×	`lower-*.f32`
3 028×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	214	3502
1	576	3490
2	1647	3480
3	5524	3366
0	8116	3064

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 276

Calls

Call 1

Inputs
(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)
(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)))))))
(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))))
(* 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 (* 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 (neg (+ (log (- 1 (fabs x))) (pow x 2))) x)
(copysign (neg (+ (log (- 1 (fabs x))) (pow x 2))) x)
(copysign (neg (+ (log (- 1 (fabs x))) (pow x 2))) x)
(copysign (neg (+ (log (- 1 (fabs x))) (pow x 2))) x)
(copysign (neg (+ (log (- 1 (fabs x))) (pow x 2))) x)
(copysign (neg (+ (log (- 1 (fabs x))) (pow x 2))) x)
(copysign (neg (+ (log (- 1 (fabs x))) (pow x 2))) x)
(copysign (neg (+ (log (- 1 (fabs x))) (pow x 2))) x)
(copysign (neg (+ (log (- 1 (fabs x))) (pow x 2))) x)
(copysign (neg (+ (log (- 1 (fabs x))) (pow x 2))) x)
(copysign (neg (+ (log (- 1 (fabs x))) (pow x 2))) x)
(copysign (neg (+ (log (- 1 (fabs x))) (pow x 2))) x)
(* -1 (log (- 1 (fabs x))))
(- (* -1 (pow x 2)) (log (- 1 (fabs x))))
(- (* -1 (pow x 2)) (log (- 1 (fabs x))))
(- (* -1 (pow x 2)) (log (- 1 (fabs x))))
(* -1 (pow x 2))
(* (pow x 2) (- (* -1 (/ (log (- 1 (fabs x))) (pow x 2))) 1))
(* (pow x 2) (- (* -1 (/ (log (- 1 (fabs x))) (pow x 2))) 1))
(* (pow x 2) (- (* -1 (/ (log (- 1 (fabs x))) (pow x 2))) 1))
(* -1 (pow x 2))
(* (pow x 2) (- (* -1 (/ (log (- 1 (fabs x))) (pow x 2))) 1))
(* (pow x 2) (- (* -1 (/ (log (- 1 (fabs x))) (pow x 2))) 1))
(* (pow x 2) (- (* -1 (/ (log (- 1 (fabs x))) (pow x 2))) 1))
(log (- 1 (fabs x)))
(+ (log (- 1 (fabs x))) (pow x 2))
(+ (log (- 1 (fabs x))) (pow x 2))
(+ (log (- 1 (fabs x))) (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (/ (log (- 1 (fabs x))) (pow x 2))))
(* (pow x 2) (+ 1 (/ (log (- 1 (fabs x))) (pow x 2))))
(* (pow x 2) (+ 1 (/ (log (- 1 (fabs x))) (pow x 2))))
(pow x 2)
(* (pow x 2) (+ 1 (/ (log (- 1 (fabs x))) (pow x 2))))
(* (pow x 2) (+ 1 (/ (log (- 1 (fabs x))) (pow x 2))))
(* (pow x 2) (+ 1 (/ (log (- 1 (fabs x))) (pow x 2))))
(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)))
(copysign (log (+ (fabs x) (+ (/ 1 (+ 1 (* 1/2 (pow x 2)))) (/ (pow x 2) (+ 1 (* 1/2 (pow x 2))))))) x)
(copysign (log (+ (fabs x) (+ (/ 1 (+ 1 (* 1/2 (pow x 2)))) (/ (pow x 2) (+ 1 (* 1/2 (pow x 2))))))) x)
(copysign (log (+ (fabs x) (+ (/ 1 (+ 1 (* 1/2 (pow x 2)))) (/ (pow x 2) (+ 1 (* 1/2 (pow x 2))))))) x)
(copysign (log (+ (fabs x) (+ (/ 1 (+ 1 (* 1/2 (pow x 2)))) (/ (pow x 2) (+ 1 (* 1/2 (pow x 2))))))) x)
(copysign (log (+ (fabs x) (+ (/ 1 (+ 1 (* 1/2 (pow x 2)))) (/ (pow x 2) (+ 1 (* 1/2 (pow x 2))))))) x)
(copysign (log (+ (fabs x) (+ (/ 1 (+ 1 (* 1/2 (pow x 2)))) (/ (pow x 2) (+ 1 (* 1/2 (pow x 2))))))) x)
(copysign (log (+ (fabs x) (+ (/ 1 (+ 1 (* 1/2 (pow x 2)))) (/ (pow x 2) (+ 1 (* 1/2 (pow x 2))))))) x)
(copysign (log (+ (fabs x) (+ (/ 1 (+ 1 (* 1/2 (pow x 2)))) (/ (pow x 2) (+ 1 (* 1/2 (pow x 2))))))) x)
(copysign (log (+ (fabs x) (+ (/ 1 (+ 1 (* 1/2 (pow x 2)))) (/ (pow x 2) (+ 1 (* 1/2 (pow x 2))))))) x)
(copysign (log (+ (fabs x) (+ (/ 1 (+ 1 (* 1/2 (pow x 2)))) (/ (pow x 2) (+ 1 (* 1/2 (pow x 2))))))) x)
(copysign (log (+ (fabs x) (+ (/ 1 (+ 1 (* 1/2 (pow x 2)))) (/ (pow x 2) (+ 1 (* 1/2 (pow x 2))))))) x)
(copysign (log (+ (fabs x) (+ (/ 1 (+ 1 (* 1/2 (pow x 2)))) (/ (pow x 2) (+ 1 (* 1/2 (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) (+ (* 6 (/ 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 (+ (* 6 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 90 (/ 1 (+ 1 (fabs x)))) (+ (* 90 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(log (+ 2 (fabs x)))
(- (log (+ 2 (fabs x))) (* 2 (/ 1 (* (pow x 2) (+ 2 (fabs x))))))
(- (+ (log (+ 2 (fabs x))) (* 1/24 (/ (- (* 96 (/ 1 (+ 2 (fabs x)))) (* 48 (/ 1 (pow (+ 2 (fabs x)) 2)))) (pow x 4)))) (/ 2 (* (pow x 2) (+ 2 (fabs x)))))
(- (+ (log (+ 2 (fabs x))) (+ (* 1/720 (/ (- (* 5760 (/ 1 (pow (+ 2 (fabs x)) 2))) (+ (* 1920 (/ 1 (pow (+ 2 (fabs x)) 3))) (* 5760 (/ 1 (+ 2 (fabs x)))))) (pow x 6))) (* 1/24 (/ (- (* 96 (/ 1 (+ 2 (fabs x)))) (* 48 (/ 1 (pow (+ 2 (fabs x)) 2)))) (pow x 4))))) (/ 2 (* (pow x 2) (+ 2 (fabs x)))))
(log (+ 2 (fabs x)))
(- (log (+ 2 (fabs x))) (* 2 (/ 1 (* (pow x 2) (+ 2 (fabs x))))))
(- (+ (log (+ 2 (fabs x))) (* 1/24 (/ (- (* 96 (/ 1 (+ 2 (fabs x)))) (* 48 (/ 1 (pow (+ 2 (fabs x)) 2)))) (pow x 4)))) (/ 2 (* (pow x 2) (+ 2 (fabs x)))))
(- (+ (log (+ 2 (fabs x))) (+ (* 1/720 (/ (- (* 5760 (/ 1 (pow (+ 2 (fabs x)) 2))) (+ (* 1920 (/ 1 (pow (+ 2 (fabs x)) 3))) (* 5760 (/ 1 (+ 2 (fabs x)))))) (pow x 6))) (* 1/24 (/ (- (* 96 (/ 1 (+ 2 (fabs x)))) (* 48 (/ 1 (pow (+ 2 (fabs x)) 2)))) (pow x 4))))) (/ 2 (* (pow x 2) (+ 2 (fabs x)))))
(+ 1 (fabs x))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/4 (pow x 2))))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/8 (pow x 2)) 1/4))))))
(+ 2 (fabs x))
(- (+ 2 (fabs x)) (* 2 (/ 1 (pow x 2))))
(- (+ 2 (+ (fabs x) (/ 4 (pow x 4)))) (* 2 (/ 1 (pow x 2))))
(- (+ 2 (+ (fabs x) (/ 4 (pow x 4)))) (+ (* 2 (/ 1 (pow x 2))) (* 8 (/ 1 (pow x 6)))))
(+ 2 (fabs x))
(- (+ 2 (fabs x)) (* 2 (/ 1 (pow x 2))))
(- (+ 2 (+ (fabs x) (/ 4 (pow x 4)))) (* 2 (/ 1 (pow x 2))))
(- (+ 2 (+ (fabs x) (/ 4 (pow x 4)))) (+ (* 2 (/ 1 (pow x 2))) (* 8 (/ 1 (pow x 6)))))
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(/ 1/2 (+ 1 (fabs x)))
(+ (* -1/8 (/ (pow x 2) (pow (+ 1 (fabs x)) 2))) (* 1/2 (/ 1 (+ 1 (fabs x)))))
(+ (* -1/8 (/ (pow x 2) (pow (+ 1 (fabs x)) 2))) (* 1/2 (/ 1 (+ 1 (fabs x)))))
(+ (* -1/8 (/ (pow x 2) (pow (+ 1 (fabs x)) 2))) (* 1/2 (/ 1 (+ 1 (fabs x)))))
(* -1/8 (/ (pow x 2) (pow (+ 1 (fabs x)) 2)))
(* (pow x 2) (- (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x))))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2)))))
(* (pow x 2) (- (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x))))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2)))))
(* (pow x 2) (- (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x))))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2)))))
(* -1/8 (/ (pow x 2) (pow (+ 1 (fabs x)) 2)))
(* (pow x 2) (- (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x))))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2)))))
(* (pow x 2) (- (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x))))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2)))))
(* (pow x 2) (- (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x))))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2)))))
(pow (+ 1 (fabs x)) 2)
(pow (+ 1 (fabs x)) 2)
(pow (+ 1 (fabs x)) 2)
(pow (+ 1 (fabs x)) 2)
(pow (+ 1 (fabs x)) 2)
(pow (+ 1 (fabs x)) 2)
(pow (+ 1 (fabs x)) 2)
(pow (+ 1 (fabs x)) 2)
(pow (+ 1 (fabs x)) 2)
(pow (+ 1 (fabs x)) 2)
(pow (+ 1 (fabs x)) 2)
(pow (+ 1 (fabs x)) 2)
(copysign (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (+ 1 (fabs x)) 2))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) x)
(copysign (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (+ 1 (fabs x)) 2))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) x)
(copysign (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (+ 1 (fabs x)) 2))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) x)
(copysign (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (+ 1 (fabs x)) 2))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) x)
(copysign (- (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) (* 1/8 (/ (pow x 4) (pow (+ 1 (fabs x)) 2)))) x)
(copysign (- (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) (* 1/8 (/ (pow x 4) (pow (+ 1 (fabs x)) 2)))) x)
(copysign (- (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) (* 1/8 (/ (pow x 4) (pow (+ 1 (fabs x)) 2)))) x)
(copysign (- (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) (* 1/8 (/ (pow x 4) (pow (+ 1 (fabs x)) 2)))) x)
(copysign (- (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) (* 1/8 (/ (pow x 4) (pow (+ 1 (fabs x)) 2)))) x)
(copysign (- (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) (* 1/8 (/ (pow x 4) (pow (+ 1 (fabs x)) 2)))) x)
(copysign (- (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) (* 1/8 (/ (pow x 4) (pow (+ 1 (fabs x)) 2)))) x)
(copysign (- (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) (* 1/8 (/ (pow x 4) (pow (+ 1 (fabs 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) (+ (* -1/8 (/ (pow x 2) (pow (+ 1 (fabs x)) 2))) (* 1/2 (/ 1 (+ 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)))))))
(* -1/8 (/ (pow x 4) (pow (+ 1 (fabs x)) 2)))
(* (pow x 4) (- (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x))))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2)))))
(* (pow x 4) (- (+ (/ 1/2 (* (pow x 2) (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 4))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2)))))
(* (pow x 4) (- (+ (/ 1/2 (* (pow x 2) (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 4))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2)))))
(* -1/8 (/ (pow x 4) (pow (+ 1 (fabs x)) 2)))
(* (pow x 4) (- (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x))))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2)))))
(* (pow x 4) (- (+ (/ 1/2 (* (pow x 2) (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 4))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2)))))
(* (pow x 4) (- (+ (/ 1/2 (* (pow x 2) (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 4))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2)))))
(* -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))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/4 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/8 (pow x 2)) 1/4)))))
2
(- 2 (* 2 (/ 1 (pow x 2))))
(- (+ 2 (/ 4 (pow x 4))) (* 2 (/ 1 (pow x 2))))
(- (+ 2 (/ 4 (pow x 4))) (+ (* 2 (/ 1 (pow x 2))) (* 8 (/ 1 (pow x 6)))))
2
(- 2 (* 2 (/ 1 (pow x 2))))
(- (+ 2 (/ 4 (pow x 4))) (* 2 (/ 1 (pow x 2))))
(- (+ 2 (/ 4 (pow x 4))) (+ (* 2 (/ 1 (pow x 2))) (* 8 (/ 1 (pow x 6)))))
(/ -1/8 (pow (+ 1 (fabs x)) 2))
(/ -1/8 (pow (+ 1 (fabs x)) 2))
(/ -1/8 (pow (+ 1 (fabs x)) 2))
(/ -1/8 (pow (+ 1 (fabs x)) 2))
(/ -1/8 (pow (+ 1 (fabs x)) 2))
(/ -1/8 (pow (+ 1 (fabs x)) 2))
(/ -1/8 (pow (+ 1 (fabs x)) 2))
(/ -1/8 (pow (+ 1 (fabs x)) 2))
(/ -1/8 (pow (+ 1 (fabs x)) 2))
(/ -1/8 (pow (+ 1 (fabs x)) 2))
(/ -1/8 (pow (+ 1 (fabs x)) 2))
(/ -1/8 (pow (+ 1 (fabs x)) 2))

Outputs
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign.f32 (log1p.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign.f32 (log1p.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign.f32 (log1p.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign.f32 (log1p.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign.f32 (log1p.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign.f32 (log1p.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign.f32 (log1p.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign.f32 (log1p.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign.f32 (log1p.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign.f32 (log1p.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign.f32 (log1p.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign.f32 (log1p.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))) x)
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (log1p.f32 (fabs.f32 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.f32 (/.f32 (.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal 1/2 binary32)) (log1p.f32 (fabs.f32 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.f32 (.f32 x x) (fma.f32 (/.f32 (.f32 x x) (.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (fma.f32 #s(literal 1/24 binary32) (/.f32 (.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (log1p.f32 (fabs.f32 x)))
(+ (log 1/2) (* -2 (log (/ 1 x))))
(fma.f32 #s(literal 2 binary32) (log.f32 x) (log.f32 #s(literal 1/2 binary32)))
(+ (log 1/2) (+ (* -2 (log (/ 1 x))) (* 2 (/ (+ 1 (fabs x)) (pow x 2)))))
(fma.f32 #s(literal 2 binary32) (+.f32 (log.f32 x) (/.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (*.f32 x x))) (log.f32 #s(literal 1/2 binary32)))
(+ (log 1/2) (+ (* -2 (log (/ 1 x))) (+ (* -2 (/ (pow (+ 1 (fabs x)) 2) (pow x 4))) (* 2 (/ (+ 1 (fabs x)) (pow x 2))))))
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(copysign (- (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) (* 1/8 (/ (pow x 4) (pow (+ 1 (fabs x)) 2)))) x)
(copysign.f32 (fma.f32 (/.f32 (.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal 1/2 binary32)) (log1p.f32 (fabs.f32 x))) x)
(copysign (- (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) (* 1/8 (/ (pow x 4) (pow (+ 1 (fabs x)) 2)))) x)
(copysign.f32 (fma.f32 (/.f32 (.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal 1/2 binary32)) (log1p.f32 (fabs.f32 x))) x)
(copysign (- (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) (* 1/8 (/ (pow x 4) (pow (+ 1 (fabs x)) 2)))) x)
(copysign.f32 (fma.f32 (/.f32 (.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal 1/2 binary32)) (log1p.f32 (fabs.f32 x))) x)
(copysign (- (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) (* 1/8 (/ (pow x 4) (pow (+ 1 (fabs x)) 2)))) x)
(copysign.f32 (fma.f32 (/.f32 (.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal 1/2 binary32)) (log1p.f32 (fabs.f32 x))) x)
(copysign (- (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) (* 1/8 (/ (pow x 4) (pow (+ 1 (fabs x)) 2)))) x)
(copysign.f32 (fma.f32 (/.f32 (.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal 1/2 binary32)) (log1p.f32 (fabs.f32 x))) x)
(copysign (- (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) (* 1/8 (/ (pow x 4) (pow (+ 1 (fabs x)) 2)))) x)
(copysign.f32 (fma.f32 (/.f32 (.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal 1/2 binary32)) (log1p.f32 (fabs.f32 x))) x)
(copysign (- (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) (* 1/8 (/ (pow x 4) (pow (+ 1 (fabs x)) 2)))) x)
(copysign.f32 (fma.f32 (/.f32 (.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal 1/2 binary32)) (log1p.f32 (fabs.f32 x))) x)
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (log1p.f32 (fabs.f32 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.f32 (/.f32 (.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal 1/2 binary32)) (log1p.f32 (fabs.f32 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.f32 (/.f32 (.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal 1/2 binary32)) (log1p.f32 (fabs.f32 x)))
(* -1/8 (/ (pow x 4) (pow (+ 1 (fabs x)) 2)))
(/.f32 (.f32 x (.f32 x (.f32 (.f32 x x) #s(literal -1/8 binary32)))) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))
(* (pow x 4) (- (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x))))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2)))))
(.f32 (.f32 x (.f32 x (.f32 x x))) (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 x (fma.f32 x (fabs.f32 x) x))) (/.f32 #s(literal -1/8 binary32) (.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))))
(* (pow x 4) (- (+ (/ 1/2 (* (pow x 2) (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 4))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2)))))
(.f32 (.f32 x (.f32 x (.f32 x x))) (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 x (fma.f32 x (fabs.f32 x) x))) (/.f32 (log1p.f32 (fabs.f32 x)) (.f32 x (.f32 x (.f32 x x))))) (/.f32 #s(literal -1/8 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))))
(* (pow x 4) (- (+ (/ 1/2 (* (pow x 2) (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 4))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2)))))
(.f32 (.f32 x (.f32 x (.f32 x x))) (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 x (fma.f32 x (fabs.f32 x) x))) (/.f32 (log1p.f32 (fabs.f32 x)) (.f32 x (.f32 x (.f32 x x))))) (/.f32 #s(literal -1/8 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))))
(* -1/8 (/ (pow x 4) (pow (+ 1 (fabs x)) 2)))
(/.f32 (.f32 x (.f32 x (.f32 (.f32 x x) #s(literal -1/8 binary32)))) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))
(* (pow x 4) (- (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x))))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2)))))
(.f32 (.f32 x (.f32 x (.f32 x x))) (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 x (fma.f32 x (fabs.f32 x) x))) (/.f32 #s(literal -1/8 binary32) (.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))))
(* (pow x 4) (- (+ (/ 1/2 (* (pow x 2) (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 4))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2)))))
(.f32 (.f32 x (.f32 x (.f32 x x))) (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 x (fma.f32 x (fabs.f32 x) x))) (/.f32 (log1p.f32 (fabs.f32 x)) (.f32 x (.f32 x (.f32 x x))))) (/.f32 #s(literal -1/8 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))))
(* (pow x 4) (- (+ (/ 1/2 (* (pow x 2) (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 4))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2)))))
(.f32 (.f32 x (.f32 x (.f32 x x))) (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 x (fma.f32 x (fabs.f32 x) x))) (/.f32 (log1p.f32 (fabs.f32 x)) (.f32 x (.f32 x (.f32 x x))))) (/.f32 #s(literal -1/8 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))))
(* -1 (fabs x))
(neg.f32 (fabs.f32 x))
(* -1 (fabs x))
(neg.f32 (fabs.f32 x))
(* -1 (fabs x))
(neg.f32 (fabs.f32 x))
(* -1 (fabs x))
(neg.f32 (fabs.f32 x))
(* -1 (fabs x))
(neg.f32 (fabs.f32 x))
(* -1 (fabs x))
(neg.f32 (fabs.f32 x))
(* -1 (fabs x))
(neg.f32 (fabs.f32 x))
(* -1 (fabs x))
(neg.f32 (fabs.f32 x))
(* -1 (fabs x))
(neg.f32 (fabs.f32 x))
(* -1 (fabs x))
(neg.f32 (fabs.f32 x))
(* -1 (fabs x))
(neg.f32 (fabs.f32 x))
(* -1 (fabs x))
(neg.f32 (fabs.f32 x))
1
#s(literal 1 binary32)
(+ 1 (* 1/2 (pow x 2)))
(fma.f32 x (*.f32 x #s(literal 1/2 binary32)) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/4 (pow x 2)))))
(fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal -1/4 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/8 (pow x 2)) 1/4)))))
(fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) #s(literal -1/4 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32))
2
#s(literal 2 binary32)
(- 2 (* 2 (/ 1 (pow x 2))))
(-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) (*.f32 x x)))
(- (+ 2 (/ 4 (pow x 4))) (* 2 (/ 1 (pow x 2))))
(+.f32 (/.f32 #s(literal 4 binary32) (.f32 x (.f32 x (.f32 x x)))) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) (.f32 x x))))
(- (+ 2 (/ 4 (pow x 4))) (+ (* 2 (/ 1 (pow x 2))) (* 8 (/ 1 (pow x 6)))))
(+.f32 (/.f32 #s(literal 4 binary32) (.f32 x (.f32 x (.f32 x x)))) (+.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) (.f32 x x))) (/.f32 #s(literal -8 binary32) (pow.f32 x #s(literal 6 binary32)))))
2
#s(literal 2 binary32)
(- 2 (* 2 (/ 1 (pow x 2))))
(-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) (*.f32 x x)))
(- (+ 2 (/ 4 (pow x 4))) (* 2 (/ 1 (pow x 2))))
(+.f32 (/.f32 #s(literal 4 binary32) (.f32 x (.f32 x (.f32 x x)))) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) (.f32 x x))))
(- (+ 2 (/ 4 (pow x 4))) (+ (* 2 (/ 1 (pow x 2))) (* 8 (/ 1 (pow x 6)))))
(+.f32 (/.f32 #s(literal 4 binary32) (.f32 x (.f32 x (.f32 x x)))) (+.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) (.f32 x x))) (/.f32 #s(literal -8 binary32) (pow.f32 x #s(literal 6 binary32)))))
(/ -1/8 (pow (+ 1 (fabs x)) 2))
(/.f32 #s(literal -1/8 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))
(/ -1/8 (pow (+ 1 (fabs x)) 2))
(/.f32 #s(literal -1/8 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))
(/ -1/8 (pow (+ 1 (fabs x)) 2))
(/.f32 #s(literal -1/8 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))
(/ -1/8 (pow (+ 1 (fabs x)) 2))
(/.f32 #s(literal -1/8 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))
(/ -1/8 (pow (+ 1 (fabs x)) 2))
(/.f32 #s(literal -1/8 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))
(/ -1/8 (pow (+ 1 (fabs x)) 2))
(/.f32 #s(literal -1/8 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))
(/ -1/8 (pow (+ 1 (fabs x)) 2))
(/.f32 #s(literal -1/8 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))
(/ -1/8 (pow (+ 1 (fabs x)) 2))
(/.f32 #s(literal -1/8 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))
(/ -1/8 (pow (+ 1 (fabs x)) 2))
(/.f32 #s(literal -1/8 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))
(/ -1/8 (pow (+ 1 (fabs x)) 2))
(/.f32 #s(literal -1/8 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))
(/ -1/8 (pow (+ 1 (fabs x)) 2))
(/.f32 #s(literal -1/8 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))
(/ -1/8 (pow (+ 1 (fabs x)) 2))
(/.f32 #s(literal -1/8 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))

eval139.0ms (1.4%)

Memory: 1.1MiB live, 362.9MiB allocated
Compiler: Compiled 37 503 to 3 743 computations (90% saved)

prune202.0ms (2%)

Memory

12.4MiB live, 326.5MiB allocated

Pruning

33 alts after pruning (24 fresh and 9 done)

	Pruned	Kept	Total
New	1 124	13	1 137
Fresh	0	11	11
Picked	2	3	5
Done	0	6	6
Total	1 126	33	1 159

Accuracy

100.0%

Counts

1 159 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.8%	(copysign.f32 (fma.f32 (/.f32 (.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal 1/2 binary32)) (log1p.f32 (fabs.f32 x))) x)
	16.4%	(copysign.f32 (fma.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (log.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) x)
	50.4%	(copysign.f32 (fma.f32 x (.f32 x (fma.f32 #s(literal -1/24 binary32) (.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (log1p.f32 (fabs.f32 x))) x)
	12.5%	(copysign.f32 (/.f32 (.f32 x (.f32 x #s(literal 1/2 binary32))) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x)
	45.6%	(copysign.f32 (-.f32 (log1p.f32 (neg.f32 (.f32 (fma.f32 x (.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)) (fma.f32 x (.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))))) (log1p.f32 (neg.f32 (fma.f32 x (.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))))) x)
	12.8%	(copysign.f32 (.f32 (/.f32 (.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) x)
	12.8%	(copysign.f32 (.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (.f32 x #s(literal 1/2 binary32)))) x) x)
	12.5%	(copysign.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (.f32 x x)) x)
	10.6%	(copysign.f32 (.f32 (.f32 (/.f32 (.f32 x #s(literal 1/2 binary32)) (fma.f32 x (.f32 x x) #s(literal 1 binary32))) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (fabs.f32 x))) x) x)
	12.4%	(copysign.f32 (.f32 (.f32 (/.f32 (.f32 x #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) (.f32 x x))) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) x)
✓	12.8%	(copysign.f32 (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x) x)
	10.6%	(copysign.f32 (.f32 (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (fma.f32 x (.f32 x x) #s(literal 1 binary32))) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (fabs.f32 x))) x) x) x)
	12.4%	(copysign.f32 (.f32 (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) (.f32 x x))) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) x) x)
✓	43.4%	(copysign.f32 (neg.f32 (fma.f32 x x (log1p.f32 (neg.f32 (fabs.f32 x))))) x)
	48.3%	(copysign.f32 (neg.f32 (fma.f32 x x (log1p.f32 (fabs.f32 x)))) x)
	11.3%	(copysign.f32 (neg.f32 (*.f32 x x)) x)
	14.3%	(copysign.f32 (neg.f32 (log.f32 (/.f32 (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (-.f32 (*.f32 x x) (fma.f32 x x #s(literal 1 binary32)))))) x)
	42.3%	(copysign.f32 (neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) x)
	9.0%	(copysign.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)))) x)
✓	56.1%	(copysign.f32 (log1p.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))) x)
✓	67.0%	(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
	40.9%	(copysign.f32 (log.f32 (fma.f32 (fma.f32 x x #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fabs.f32 x))) x)
	9.9%	(copysign.f32 (log.f32 (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal -1/4 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) x)
	27.9%	(copysign.f32 (log.f32 (/.f32 #s(literal -1/2 binary32) x)) x)
✓	30.7%	(copysign.f32 (log.f32 (-.f32 (fabs.f32 x) x)) x)
✓	28.4%	(copysign.f32 (log.f32 (+.f32 (-.f32 (fabs.f32 x) x) (/.f32 #s(literal -1/2 binary32) x))) x)
	42.3%	(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
	31.3%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (+.f32 x (/.f32 #s(literal 1/2 binary32) x)))) x)
	28.6%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(literal 2 binary32))) x)
	32.4%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x)
✓	32.3%	(copysign.f32 (log.f32 (+.f32 x (fabs.f32 x))) x)
✓	20.2%	(copysign.f32 (log.f32 (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)))) x)
✓	14.4%	(copysign.f32 (log.f32 x) x)

Compiler

Compiled 1 087 to 474 computations (56.4% saved)

regimes44.0ms (0.4%)

Memory

-55.8MiB live, 41.8MiB allocated

Counts

42 → 3

Calls

Call 1

Inputs
(copysign.f32 (neg.f32 (*.f32 x x)) x)
(copysign.f32 (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x) x)
(copysign.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (.f32 x x)) x)
(copysign.f32 (.f32 (/.f32 (.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) x)
(copysign.f32 (/.f32 (.f32 x (.f32 x #s(literal 1/2 binary32))) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x)
(copysign.f32 (.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (.f32 x #s(literal 1/2 binary32)))) x) x)
(copysign.f32 (.f32 (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) (.f32 x x))) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) x) x)
(copysign.f32 (.f32 (.f32 (/.f32 (.f32 x #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) (.f32 x x))) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) x)
(copysign.f32 (.f32 (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (fma.f32 x (.f32 x x) #s(literal 1 binary32))) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (fabs.f32 x))) x) x) x)
(copysign.f32 (.f32 (.f32 (/.f32 (.f32 x #s(literal 1/2 binary32)) (fma.f32 x (.f32 x x) #s(literal 1 binary32))) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (fabs.f32 x))) x) x)
(copysign.f32 (log.f32 x) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign.f32 (log.f32 (+.f32 x (fabs.f32 x))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(literal 2 binary32))) x)
(copysign.f32 (log.f32 (-.f32 (fabs.f32 x) x)) x)
(copysign.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)))) x)
(copysign.f32 (neg.f32 (fma.f32 x x (log1p.f32 (fabs.f32 x)))) x)
(copysign.f32 (log.f32 (/.f32 #s(literal -1/2 binary32) x)) x)
(copysign.f32 (neg.f32 (fma.f32 x x (log1p.f32 (neg.f32 (fabs.f32 x))))) x)
(copysign.f32 (log1p.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))) x)
(copysign.f32 (log.f32 (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (+.f32 x (/.f32 #s(literal 1/2 binary32) x)))) x)
(copysign.f32 (log.f32 (+.f32 (-.f32 (fabs.f32 x) x) (/.f32 #s(literal -1/2 binary32) x))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) (-.f32 #s(literal 1 binary32) (*.f32 x x))))) x)
(copysign.f32 (log.f32 (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal -1/4 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) x)
(copysign.f32 (fma.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (log1p.f32 (fabs.f32 x))) x)
(copysign.f32 (fma.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (log.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) #s(literal 1 binary32))))) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) x)
(copysign.f32 (log.f32 (fma.f32 (fma.f32 x x #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fabs.f32 x))) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)))) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (-.f32 (*.f32 x x) (fma.f32 x x #s(literal 1 binary32)))))) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (fma.f32 x x (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))))) x)
(copysign.f32 (fma.f32 (/.f32 (.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal 1/2 binary32)) (log1p.f32 (fabs.f32 x))) x)
(copysign.f32 (log.f32 (fma.f32 (sqrt.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (sqrt.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fabs.f32 x))) x)
(copysign.f32 (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (/.f32 #s(literal -1/8 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (log1p.f32 (fabs.f32 x))) x)
(copysign.f32 (fma.f32 x (.f32 x (fma.f32 #s(literal -1/24 binary32) (.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (log1p.f32 (fabs.f32 x))) x)
(copysign.f32 (-.f32 (log1p.f32 (neg.f32 (.f32 (fma.f32 x (.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)) (fma.f32 x (.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))))) (log1p.f32 (neg.f32 (fma.f32 x (.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))))) x)

Outputs

(copysign.f32 (log.f32 (+.f32 (-.f32 (fabs.f32 x) x) (/.f32 #s(literal -1/2 binary32) x))) x)

(copysign.f32 (fma.f32 x (*.f32 x (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (log1p.f32 (fabs.f32 x))) x)

(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (+.f32 x (/.f32 #s(literal 1/2 binary32) x)))) x)

Calls

2 calls:

11.0ms	x
10.0ms	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)

Results

Accuracy	Segments	Branch
99.4%	3	`x`
99.4%	3	`(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes48.0ms (0.5%)

Memory

10.5MiB live, 48.5MiB allocated

Counts

40 → 3

Calls

Call 1

Inputs
(copysign.f32 (neg.f32 (*.f32 x x)) x)
(copysign.f32 (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x) x)
(copysign.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (.f32 x x)) x)
(copysign.f32 (.f32 (/.f32 (.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) x)
(copysign.f32 (/.f32 (.f32 x (.f32 x #s(literal 1/2 binary32))) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x)
(copysign.f32 (.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (.f32 x #s(literal 1/2 binary32)))) x) x)
(copysign.f32 (.f32 (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) (.f32 x x))) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) x) x)
(copysign.f32 (.f32 (.f32 (/.f32 (.f32 x #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) (.f32 x x))) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) x)
(copysign.f32 (.f32 (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (fma.f32 x (.f32 x x) #s(literal 1 binary32))) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (fabs.f32 x))) x) x) x)
(copysign.f32 (.f32 (.f32 (/.f32 (.f32 x #s(literal 1/2 binary32)) (fma.f32 x (.f32 x x) #s(literal 1 binary32))) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (fabs.f32 x))) x) x)
(copysign.f32 (log.f32 x) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign.f32 (log.f32 (+.f32 x (fabs.f32 x))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(literal 2 binary32))) x)
(copysign.f32 (log.f32 (-.f32 (fabs.f32 x) x)) x)
(copysign.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)))) x)
(copysign.f32 (neg.f32 (fma.f32 x x (log1p.f32 (fabs.f32 x)))) x)
(copysign.f32 (log.f32 (/.f32 #s(literal -1/2 binary32) x)) x)
(copysign.f32 (neg.f32 (fma.f32 x x (log1p.f32 (neg.f32 (fabs.f32 x))))) x)
(copysign.f32 (log1p.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))) x)
(copysign.f32 (log.f32 (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (+.f32 x (/.f32 #s(literal 1/2 binary32) x)))) x)
(copysign.f32 (log.f32 (+.f32 (-.f32 (fabs.f32 x) x) (/.f32 #s(literal -1/2 binary32) x))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) (-.f32 #s(literal 1 binary32) (*.f32 x x))))) x)
(copysign.f32 (log.f32 (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal -1/4 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) x)
(copysign.f32 (fma.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (log1p.f32 (fabs.f32 x))) x)
(copysign.f32 (fma.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (log.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) #s(literal 1 binary32))))) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) x)
(copysign.f32 (log.f32 (fma.f32 (fma.f32 x x #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fabs.f32 x))) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)))) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (-.f32 (*.f32 x x) (fma.f32 x x #s(literal 1 binary32)))))) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (fma.f32 x x (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))))) x)
(copysign.f32 (fma.f32 (/.f32 (.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal 1/2 binary32)) (log1p.f32 (fabs.f32 x))) x)
(copysign.f32 (log.f32 (fma.f32 (sqrt.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (sqrt.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fabs.f32 x))) x)
(copysign.f32 (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (/.f32 #s(literal -1/8 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (log1p.f32 (fabs.f32 x))) x)

Outputs

(copysign.f32 (log.f32 (+.f32 (-.f32 (fabs.f32 x) x) (/.f32 #s(literal -1/2 binary32) x))) x)

(copysign.f32 (fma.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal 1/2 binary32)) (log1p.f32 (fabs.f32 x))) x)

(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (+.f32 x (/.f32 #s(literal 1/2 binary32) x)))) x)

Calls

2 calls:

37.0ms	x
9.0ms	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)

Results

Accuracy	Segments	Branch
99.1%	3	`x`
99.1%	3	`(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes21.0ms (0.2%)

Memory

16.9MiB live, 54.5MiB allocated

Counts

37 → 3

Calls

Call 1

Inputs
(copysign.f32 (neg.f32 (*.f32 x x)) x)
(copysign.f32 (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x) x)
(copysign.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (.f32 x x)) x)
(copysign.f32 (.f32 (/.f32 (.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) x)
(copysign.f32 (/.f32 (.f32 x (.f32 x #s(literal 1/2 binary32))) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x)
(copysign.f32 (.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (.f32 x #s(literal 1/2 binary32)))) x) x)
(copysign.f32 (.f32 (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) (.f32 x x))) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) x) x)
(copysign.f32 (.f32 (.f32 (/.f32 (.f32 x #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) (.f32 x x))) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) x)
(copysign.f32 (.f32 (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (fma.f32 x (.f32 x x) #s(literal 1 binary32))) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (fabs.f32 x))) x) x) x)
(copysign.f32 (.f32 (.f32 (/.f32 (.f32 x #s(literal 1/2 binary32)) (fma.f32 x (.f32 x x) #s(literal 1 binary32))) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (fabs.f32 x))) x) x)
(copysign.f32 (log.f32 x) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign.f32 (log.f32 (+.f32 x (fabs.f32 x))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(literal 2 binary32))) x)
(copysign.f32 (log.f32 (-.f32 (fabs.f32 x) x)) x)
(copysign.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)))) x)
(copysign.f32 (neg.f32 (fma.f32 x x (log1p.f32 (fabs.f32 x)))) x)
(copysign.f32 (log.f32 (/.f32 #s(literal -1/2 binary32) x)) x)
(copysign.f32 (neg.f32 (fma.f32 x x (log1p.f32 (neg.f32 (fabs.f32 x))))) x)
(copysign.f32 (log1p.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))) x)
(copysign.f32 (log.f32 (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (+.f32 x (/.f32 #s(literal 1/2 binary32) x)))) x)
(copysign.f32 (log.f32 (+.f32 (-.f32 (fabs.f32 x) x) (/.f32 #s(literal -1/2 binary32) x))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) (-.f32 #s(literal 1 binary32) (*.f32 x x))))) x)
(copysign.f32 (log.f32 (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal -1/4 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) x)
(copysign.f32 (fma.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (log1p.f32 (fabs.f32 x))) x)
(copysign.f32 (fma.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (log.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) #s(literal 1 binary32))))) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) x)
(copysign.f32 (log.f32 (fma.f32 (fma.f32 x x #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fabs.f32 x))) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)))) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (-.f32 (*.f32 x x) (fma.f32 x x #s(literal 1 binary32)))))) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (fma.f32 x x (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))))) x)

Outputs

(copysign.f32 (log.f32 (+.f32 (-.f32 (fabs.f32 x) x) (/.f32 #s(literal -1/2 binary32) x))) x)

(copysign.f32 (log1p.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))) x)

(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (+.f32 x (/.f32 #s(literal 1/2 binary32) x)))) x)

Calls

2 calls:

11.0ms	x
9.0ms	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)

Results

Accuracy	Segments	Branch
99.1%	3	`x`
99.1%	3	`(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes20.0ms (0.2%)

Memory

-5.8MiB live, 34.4MiB allocated

Counts

23 → 3

Calls

Call 1

Inputs
(copysign.f32 (neg.f32 (*.f32 x x)) x)
(copysign.f32 (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x) x)
(copysign.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (.f32 x x)) x)
(copysign.f32 (.f32 (/.f32 (.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) x)
(copysign.f32 (/.f32 (.f32 x (.f32 x #s(literal 1/2 binary32))) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x)
(copysign.f32 (.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (.f32 x #s(literal 1/2 binary32)))) x) x)
(copysign.f32 (.f32 (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) (.f32 x x))) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) x) x)
(copysign.f32 (.f32 (.f32 (/.f32 (.f32 x #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) (.f32 x x))) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) x)
(copysign.f32 (.f32 (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (fma.f32 x (.f32 x x) #s(literal 1 binary32))) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (fabs.f32 x))) x) x) x)
(copysign.f32 (.f32 (.f32 (/.f32 (.f32 x #s(literal 1/2 binary32)) (fma.f32 x (.f32 x x) #s(literal 1 binary32))) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (fabs.f32 x))) x) x)
(copysign.f32 (log.f32 x) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign.f32 (log.f32 (+.f32 x (fabs.f32 x))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(literal 2 binary32))) x)
(copysign.f32 (log.f32 (-.f32 (fabs.f32 x) x)) x)
(copysign.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)))) x)
(copysign.f32 (neg.f32 (fma.f32 x x (log1p.f32 (fabs.f32 x)))) x)
(copysign.f32 (log.f32 (/.f32 #s(literal -1/2 binary32) x)) x)
(copysign.f32 (neg.f32 (fma.f32 x x (log1p.f32 (neg.f32 (fabs.f32 x))))) x)
(copysign.f32 (log1p.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))) x)
(copysign.f32 (log.f32 (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (+.f32 x (/.f32 #s(literal 1/2 binary32) x)))) x)

Outputs

(copysign.f32 (log.f32 (/.f32 #s(literal -1/2 binary32) x)) x)

(copysign.f32 (log1p.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))) x)

(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (+.f32 x (/.f32 #s(literal 1/2 binary32) x)))) x)

Calls

2 calls:

12.0ms	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
7.0ms	x

Results

Accuracy	Segments	Branch
98.6%	3	`x`
98.6%	3	`(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes15.0ms (0.1%)

Memory

-8.3MiB live, 29.1MiB allocated

Counts

22 → 3

Calls

Call 1

Inputs
(copysign.f32 (neg.f32 (*.f32 x x)) x)
(copysign.f32 (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x) x)
(copysign.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (.f32 x x)) x)
(copysign.f32 (.f32 (/.f32 (.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) x)
(copysign.f32 (/.f32 (.f32 x (.f32 x #s(literal 1/2 binary32))) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x)
(copysign.f32 (.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (.f32 x #s(literal 1/2 binary32)))) x) x)
(copysign.f32 (.f32 (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) (.f32 x x))) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) x) x)
(copysign.f32 (.f32 (.f32 (/.f32 (.f32 x #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) (.f32 x x))) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) x)
(copysign.f32 (.f32 (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (fma.f32 x (.f32 x x) #s(literal 1 binary32))) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (fabs.f32 x))) x) x) x)
(copysign.f32 (.f32 (.f32 (/.f32 (.f32 x #s(literal 1/2 binary32)) (fma.f32 x (.f32 x x) #s(literal 1 binary32))) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (fabs.f32 x))) x) x)
(copysign.f32 (log.f32 x) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign.f32 (log.f32 (+.f32 x (fabs.f32 x))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(literal 2 binary32))) x)
(copysign.f32 (log.f32 (-.f32 (fabs.f32 x) x)) x)
(copysign.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)))) x)
(copysign.f32 (neg.f32 (fma.f32 x x (log1p.f32 (fabs.f32 x)))) x)
(copysign.f32 (log.f32 (/.f32 #s(literal -1/2 binary32) x)) x)
(copysign.f32 (neg.f32 (fma.f32 x x (log1p.f32 (neg.f32 (fabs.f32 x))))) x)
(copysign.f32 (log1p.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))) x)
(copysign.f32 (log.f32 (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)))) x)

Outputs
(copysign.f32 (log.f32 (/.f32 #s(literal -1/2 binary32) x)) x)
(copysign.f32 (log1p.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))) x)
(copysign.f32 (log.f32 (+.f32 x (fabs.f32 x))) x)

Calls

2 calls:

8.0ms	x
6.0ms	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)

Results

Accuracy	Segments	Branch
98.4%	3	`x`
98.4%	3	`(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes12.0ms (0.1%)

Memory

31.4MiB live, 31.4MiB allocated

Counts

20 → 3

Calls

Call 1

Inputs
(copysign.f32 (neg.f32 (*.f32 x x)) x)
(copysign.f32 (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x) x)
(copysign.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (.f32 x x)) x)
(copysign.f32 (.f32 (/.f32 (.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) x)
(copysign.f32 (/.f32 (.f32 x (.f32 x #s(literal 1/2 binary32))) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x)
(copysign.f32 (.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (.f32 x #s(literal 1/2 binary32)))) x) x)
(copysign.f32 (.f32 (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) (.f32 x x))) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) x) x)
(copysign.f32 (.f32 (.f32 (/.f32 (.f32 x #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) (.f32 x x))) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) x)
(copysign.f32 (.f32 (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (fma.f32 x (.f32 x x) #s(literal 1 binary32))) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (fabs.f32 x))) x) x) x)
(copysign.f32 (.f32 (.f32 (/.f32 (.f32 x #s(literal 1/2 binary32)) (fma.f32 x (.f32 x x) #s(literal 1 binary32))) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (fabs.f32 x))) x) x)
(copysign.f32 (log.f32 x) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign.f32 (log.f32 (+.f32 x (fabs.f32 x))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(literal 2 binary32))) x)
(copysign.f32 (log.f32 (-.f32 (fabs.f32 x) x)) x)
(copysign.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)))) x)
(copysign.f32 (neg.f32 (fma.f32 x x (log1p.f32 (fabs.f32 x)))) x)
(copysign.f32 (log.f32 (/.f32 #s(literal -1/2 binary32) x)) x)
(copysign.f32 (neg.f32 (fma.f32 x x (log1p.f32 (neg.f32 (fabs.f32 x))))) x)

Outputs
(copysign.f32 (log.f32 (/.f32 #s(literal -1/2 binary32) x)) x)
(copysign.f32 (neg.f32 (fma.f32 x x (log1p.f32 (neg.f32 (fabs.f32 x))))) x)
(copysign.f32 (log.f32 (+.f32 x (fabs.f32 x))) x)

Calls

2 calls:

6.0ms	x
5.0ms	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)

Results

Accuracy	Segments	Branch
96.2%	3	`x`
96.2%	3	`(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes13.0ms (0.1%)

Memory

-7.7MiB live, 30.4MiB allocated

Counts

19 → 3

Calls

Call 1

Inputs
(copysign.f32 (neg.f32 (*.f32 x x)) x)
(copysign.f32 (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x) x)
(copysign.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (.f32 x x)) x)
(copysign.f32 (.f32 (/.f32 (.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) x)
(copysign.f32 (/.f32 (.f32 x (.f32 x #s(literal 1/2 binary32))) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x)
(copysign.f32 (.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (.f32 x #s(literal 1/2 binary32)))) x) x)
(copysign.f32 (.f32 (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) (.f32 x x))) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) x) x)
(copysign.f32 (.f32 (.f32 (/.f32 (.f32 x #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) (.f32 x x))) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) x)
(copysign.f32 (.f32 (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (fma.f32 x (.f32 x x) #s(literal 1 binary32))) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (fabs.f32 x))) x) x) x)
(copysign.f32 (.f32 (.f32 (/.f32 (.f32 x #s(literal 1/2 binary32)) (fma.f32 x (.f32 x x) #s(literal 1 binary32))) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (fabs.f32 x))) x) x)
(copysign.f32 (log.f32 x) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign.f32 (log.f32 (+.f32 x (fabs.f32 x))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(literal 2 binary32))) x)
(copysign.f32 (log.f32 (-.f32 (fabs.f32 x) x)) x)
(copysign.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)))) x)
(copysign.f32 (neg.f32 (fma.f32 x x (log1p.f32 (fabs.f32 x)))) x)
(copysign.f32 (log.f32 (/.f32 #s(literal -1/2 binary32) x)) x)

Outputs
(copysign.f32 (log.f32 (/.f32 #s(literal -1/2 binary32) x)) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign.f32 (log.f32 (+.f32 x (fabs.f32 x))) x)

Calls

2 calls:

6.0ms	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
6.0ms	x

Results

Accuracy	Segments	Branch
96.1%	3	`x`
96.1%	3	`(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes12.0ms (0.1%)

Memory

-8.6MiB live, 29.3MiB allocated

Counts

18 → 3

Calls

Call 1

Inputs
(copysign.f32 (neg.f32 (*.f32 x x)) x)
(copysign.f32 (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x) x)
(copysign.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (.f32 x x)) x)
(copysign.f32 (.f32 (/.f32 (.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) x)
(copysign.f32 (/.f32 (.f32 x (.f32 x #s(literal 1/2 binary32))) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x)
(copysign.f32 (.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (.f32 x #s(literal 1/2 binary32)))) x) x)
(copysign.f32 (.f32 (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) (.f32 x x))) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) x) x)
(copysign.f32 (.f32 (.f32 (/.f32 (.f32 x #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) (.f32 x x))) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) x)
(copysign.f32 (.f32 (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (fma.f32 x (.f32 x x) #s(literal 1 binary32))) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (fabs.f32 x))) x) x) x)
(copysign.f32 (.f32 (.f32 (/.f32 (.f32 x #s(literal 1/2 binary32)) (fma.f32 x (.f32 x x) #s(literal 1 binary32))) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (fabs.f32 x))) x) x)
(copysign.f32 (log.f32 x) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign.f32 (log.f32 (+.f32 x (fabs.f32 x))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(literal 2 binary32))) x)
(copysign.f32 (log.f32 (-.f32 (fabs.f32 x) x)) x)
(copysign.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)))) x)
(copysign.f32 (neg.f32 (fma.f32 x x (log1p.f32 (fabs.f32 x)))) x)

Outputs
(copysign.f32 (log.f32 (-.f32 (fabs.f32 x) x)) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign.f32 (log.f32 (+.f32 x (fabs.f32 x))) x)

Calls

2 calls:

6.0ms	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
5.0ms	x

Results

Accuracy	Segments	Branch
96.1%	3	`x`
96.1%	3	`(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes15.0ms (0.1%)

Memory

-15.1MiB live, 24.1MiB allocated

Counts

15 → 2

Calls

Call 1

Inputs
(copysign.f32 (neg.f32 (*.f32 x x)) x)
(copysign.f32 (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x) x)
(copysign.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (.f32 x x)) x)
(copysign.f32 (.f32 (/.f32 (.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) x)
(copysign.f32 (/.f32 (.f32 x (.f32 x #s(literal 1/2 binary32))) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x)
(copysign.f32 (.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (.f32 x #s(literal 1/2 binary32)))) x) x)
(copysign.f32 (.f32 (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) (.f32 x x))) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) x) x)
(copysign.f32 (.f32 (.f32 (/.f32 (.f32 x #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) (.f32 x x))) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) x)
(copysign.f32 (.f32 (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (fma.f32 x (.f32 x x) #s(literal 1 binary32))) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (fabs.f32 x))) x) x) x)
(copysign.f32 (.f32 (.f32 (/.f32 (.f32 x #s(literal 1/2 binary32)) (fma.f32 x (.f32 x x) #s(literal 1 binary32))) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (fabs.f32 x))) x) x)
(copysign.f32 (log.f32 x) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign.f32 (log.f32 (+.f32 x (fabs.f32 x))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(literal 2 binary32))) x)

Outputs
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign.f32 (log.f32 (+.f32 x (fabs.f32 x))) x)

Calls

2 calls:

10.0ms	x
4.0ms	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)

Results

Accuracy	Segments	Branch
82.1%	2	`x`
82.1%	2	`(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory

19.7MiB live, 19.7MiB allocated

Counts

12 → 1

Calls

Call 1

Inputs
(copysign.f32 (neg.f32 (*.f32 x x)) x)
(copysign.f32 (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x) x)
(copysign.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (.f32 x x)) x)
(copysign.f32 (.f32 (/.f32 (.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) x)
(copysign.f32 (/.f32 (.f32 x (.f32 x #s(literal 1/2 binary32))) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x)
(copysign.f32 (.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (.f32 x #s(literal 1/2 binary32)))) x) x)
(copysign.f32 (.f32 (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) (.f32 x x))) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) x) x)
(copysign.f32 (.f32 (.f32 (/.f32 (.f32 x #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) (.f32 x x))) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) x)
(copysign.f32 (.f32 (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (fma.f32 x (.f32 x x) #s(literal 1 binary32))) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (fabs.f32 x))) x) x) x)
(copysign.f32 (.f32 (.f32 (/.f32 (.f32 x #s(literal 1/2 binary32)) (fma.f32 x (.f32 x x) #s(literal 1 binary32))) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (fabs.f32 x))) x) x)
(copysign.f32 (log.f32 x) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)

Outputs
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)

Calls

2 calls:

4.0ms	x
4.0ms	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)

Results

Accuracy	Segments	Branch
67.0%	1	`(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)`
67.0%	1	`x`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes11.0ms (0.1%)

Memory

0.0MiB live, 36.2MiB allocated

Counts

11 → 2

Calls

Call 1

Inputs
(copysign.f32 (neg.f32 (*.f32 x x)) x)
(copysign.f32 (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x) x)
(copysign.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (.f32 x x)) x)
(copysign.f32 (.f32 (/.f32 (.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) x)
(copysign.f32 (/.f32 (.f32 x (.f32 x #s(literal 1/2 binary32))) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x)
(copysign.f32 (.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (.f32 x #s(literal 1/2 binary32)))) x) x)
(copysign.f32 (.f32 (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) (.f32 x x))) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) x) x)
(copysign.f32 (.f32 (.f32 (/.f32 (.f32 x #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) (.f32 x x))) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) x)
(copysign.f32 (.f32 (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (fma.f32 x (.f32 x x) #s(literal 1 binary32))) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (fabs.f32 x))) x) x) x)
(copysign.f32 (.f32 (.f32 (/.f32 (.f32 x #s(literal 1/2 binary32)) (fma.f32 x (.f32 x x) #s(literal 1 binary32))) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (fabs.f32 x))) x) x)
(copysign.f32 (log.f32 x) x)

Outputs
(copysign.f32 (.f32 (/.f32 (.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) x)
(copysign.f32 (log.f32 x) x)

Calls

2 calls:

7.0ms	x
3.0ms	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)

Results

Accuracy	Segments	Branch
21.8%	2	`(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)`
21.8%	2	`x`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes11.0ms (0.1%)

Memory

-9.5MiB live, 26.0MiB allocated

Counts

10 → 1

Calls

Call 1

Inputs
(copysign.f32 (neg.f32 (*.f32 x x)) x)
(copysign.f32 (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x) x)
(copysign.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (.f32 x x)) x)
(copysign.f32 (.f32 (/.f32 (.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) x)
(copysign.f32 (/.f32 (.f32 x (.f32 x #s(literal 1/2 binary32))) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x)
(copysign.f32 (.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (.f32 x #s(literal 1/2 binary32)))) x) x)
(copysign.f32 (.f32 (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) (.f32 x x))) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) x) x)
(copysign.f32 (.f32 (.f32 (/.f32 (.f32 x #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) (.f32 x x))) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) x)
(copysign.f32 (.f32 (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (fma.f32 x (.f32 x x) #s(literal 1 binary32))) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (fabs.f32 x))) x) x) x)
(copysign.f32 (.f32 (.f32 (/.f32 (.f32 x #s(literal 1/2 binary32)) (fma.f32 x (.f32 x x) #s(literal 1 binary32))) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (fabs.f32 x))) x) x)

Outputs
(copysign.f32 (.f32 (/.f32 (.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) x)

Calls

2 calls:

7.0ms	x
3.0ms	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)

Results

Accuracy	Segments	Branch
12.8%	1	`x`
12.8%	1	`(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes4.0ms (0%)

Memory

12.6MiB live, 12.6MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

(copysign.f32 (neg.f32 (*.f32 x x)) x)

(copysign.f32 (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x) x)

(copysign.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (*.f32 x x)) x)

Outputs
(copysign.f32 (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x) x)

Calls

2 calls:

2.0ms	x
2.0ms	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)

Results

Accuracy	Segments	Branch
12.8%	1	`x`
12.8%	1	`(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes3.0ms (0%)

Memory

9.5MiB live, 9.5MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(copysign.f32 (neg.f32 (*.f32 x x)) x)

Outputs
(copysign.f32 (neg.f32 (*.f32 x x)) x)

Calls

2 calls:

1.0ms	x
1.0ms	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)

Results

Accuracy	Segments	Branch
11.3%	1	`x`
11.3%	1	`(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)`

Compiler

Compiled 15 to 10 computations (33.3% saved)

bsearch1.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.026248076930642128	1.8558180332183838
0.0ms	-1.3357610702514648	-0.4203404486179352

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch1.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.026248076930642128	1.8558180332183838
0.0ms	-1.3357610702514648	-0.4203404486179352

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.026248076930642128	1.8558180332183838
0.0ms	-1.3357610702514648	-0.4203404486179352

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.026248076930642128	1.8558180332183838
0.0ms	-1.3357610702514648	-0.4203404486179352

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.026248076930642128	1.8558180332183838
0.0ms	-1.3357610702514648	-0.4203404486179352

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.026248076930642128	1.8558180332183838
0.0ms	-1.3357610702514648	-0.4203404486179352

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.026248076930642128	1.8558180332183838
0.0ms	-1.3357610702514648	-0.4203404486179352

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.026248076930642128	1.8558180332183838
0.0ms	-1.3357610702514648	-0.4203404486179352

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.026251064613461494	3.1203019618988037

Compiler

Compiled 16 to 11 computations (31.3% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.8558180332183838	5.519163608551025

Compiler

Compiled 16 to 13 computations (18.8% saved)

simplify12.0ms (0.1%)

Memory

-3.1MiB live, 36.2MiB allocated

Algorithm

1×	egg-herbie

Rules

26×	`+-commutative_binary32`
20×	`*-commutative_binary32`
10×	`sub-neg_binary32`
8×	`neg-sub0_binary32`
8×	`neg-mul-1_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	89	567
1	116	567
2	125	567
3	130	567
4	131	567

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) x) #s(literal -1 binary32)) (copysign.f32 (log.f32 (+.f32 (-.f32 (fabs.f32 x) x) (/.f32 #s(literal -1/2 binary32) x))) x) (if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) x) #s(literal 13421773/268435456 binary32)) (copysign.f32 (fma.f32 x (.f32 x (fma.f32 #s(literal -1/24 binary32) (.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (log1p.f32 (fabs.f32 x))) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (+.f32 x (/.f32 #s(literal 1/2 binary32) x)))) x)))
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) x) #s(literal -1 binary32)) (copysign.f32 (log.f32 (+.f32 (-.f32 (fabs.f32 x) x) (/.f32 #s(literal -1/2 binary32) x))) x) (if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) x) #s(literal 13421773/268435456 binary32)) (copysign.f32 (fma.f32 (/.f32 (.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal 1/2 binary32)) (log1p.f32 (fabs.f32 x))) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (+.f32 x (/.f32 #s(literal 1/2 binary32) x)))) x)))
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) x) #s(literal -1 binary32)) (copysign.f32 (log.f32 (+.f32 (-.f32 (fabs.f32 x) x) (/.f32 #s(literal -1/2 binary32) x))) x) (if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) x) #s(literal 13421773/268435456 binary32)) (copysign.f32 (log1p.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (+.f32 x (/.f32 #s(literal 1/2 binary32) x)))) x)))
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) x) #s(literal -1 binary32)) (copysign.f32 (log.f32 (/.f32 #s(literal -1/2 binary32) x)) x) (if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) x) #s(literal 13421773/268435456 binary32)) (copysign.f32 (log1p.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (+.f32 x (/.f32 #s(literal 1/2 binary32) x)))) x)))
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) x) #s(literal -1 binary32)) (copysign.f32 (log.f32 (/.f32 #s(literal -1/2 binary32) x)) x) (if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) x) #s(literal 13421773/268435456 binary32)) (copysign.f32 (log1p.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))) x) (copysign.f32 (log.f32 (+.f32 x (fabs.f32 x))) x)))
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) x) #s(literal -1 binary32)) (copysign.f32 (log.f32 (/.f32 #s(literal -1/2 binary32) x)) x) (if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) x) #s(literal 13421773/268435456 binary32)) (copysign.f32 (neg.f32 (fma.f32 x x (log1p.f32 (neg.f32 (fabs.f32 x))))) x) (copysign.f32 (log.f32 (+.f32 x (fabs.f32 x))) x)))
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) x) #s(literal -1 binary32)) (copysign.f32 (log.f32 (/.f32 #s(literal -1/2 binary32) x)) x) (if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) x) #s(literal 13421773/268435456 binary32)) (copysign.f32 (log1p.f32 (fabs.f32 x)) x) (copysign.f32 (log.f32 (+.f32 x (fabs.f32 x))) x)))
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) x) #s(literal -1 binary32)) (copysign.f32 (log.f32 (-.f32 (fabs.f32 x) x)) x) (if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) x) #s(literal 13421773/268435456 binary32)) (copysign.f32 (log1p.f32 (fabs.f32 x)) x) (copysign.f32 (log.f32 (+.f32 x (fabs.f32 x))) x)))
(if (<=.f32 x #s(literal 13421773/268435456 binary32)) (copysign.f32 (log1p.f32 (fabs.f32 x)) x) (copysign.f32 (log.f32 (+.f32 x (fabs.f32 x))) x))
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) x) #s(literal 2 binary32)) (copysign.f32 (.f32 (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) x) (copysign.f32 (log.f32 x) x))
(copysign.f32 (.f32 (/.f32 (.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) x)
(copysign.f32 (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x) x)
(copysign.f32 (neg.f32 (*.f32 x x)) x)

Outputs
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) x) #s(literal -1 binary32)) (copysign.f32 (log.f32 (+.f32 (-.f32 (fabs.f32 x) x) (/.f32 #s(literal -1/2 binary32) x))) x) (if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) x) #s(literal 13421773/268435456 binary32)) (copysign.f32 (fma.f32 x (.f32 x (fma.f32 #s(literal -1/24 binary32) (.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (log1p.f32 (fabs.f32 x))) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (+.f32 x (/.f32 #s(literal 1/2 binary32) x)))) x)))
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) x) #s(literal -1 binary32)) (copysign.f32 (log.f32 (+.f32 (-.f32 (fabs.f32 x) x) (/.f32 #s(literal -1/2 binary32) x))) x) (if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) x) #s(literal 13421773/268435456 binary32)) (copysign.f32 (fma.f32 x (.f32 x (fma.f32 #s(literal -1/24 binary32) (.f32 (/.f32 (*.f32 x x) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))) (log1p.f32 (fabs.f32 x))) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (+.f32 x (/.f32 #s(literal 1/2 binary32) x)))) x)))
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) x) #s(literal -1 binary32)) (copysign.f32 (log.f32 (+.f32 (-.f32 (fabs.f32 x) x) (/.f32 #s(literal -1/2 binary32) x))) x) (if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) x) #s(literal 13421773/268435456 binary32)) (copysign.f32 (fma.f32 (/.f32 (.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal 1/2 binary32)) (log1p.f32 (fabs.f32 x))) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (+.f32 x (/.f32 #s(literal 1/2 binary32) x)))) x)))
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) x) #s(literal -1 binary32)) (copysign.f32 (log.f32 (+.f32 (-.f32 (fabs.f32 x) x) (/.f32 #s(literal -1/2 binary32) x))) x) (if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) x) #s(literal 13421773/268435456 binary32)) (copysign.f32 (fma.f32 (/.f32 (.f32 x x) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (.f32 x x) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal 1/2 binary32)) (log1p.f32 (fabs.f32 x))) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (+.f32 x (/.f32 #s(literal 1/2 binary32) x)))) x)))
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) x) #s(literal -1 binary32)) (copysign.f32 (log.f32 (+.f32 (-.f32 (fabs.f32 x) x) (/.f32 #s(literal -1/2 binary32) x))) x) (if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) x) #s(literal 13421773/268435456 binary32)) (copysign.f32 (log1p.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (+.f32 x (/.f32 #s(literal 1/2 binary32) x)))) x)))
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) x) #s(literal -1 binary32)) (copysign.f32 (log.f32 (/.f32 #s(literal -1/2 binary32) x)) x) (if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) x) #s(literal 13421773/268435456 binary32)) (copysign.f32 (log1p.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (+.f32 x (/.f32 #s(literal 1/2 binary32) x)))) x)))
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) x) #s(literal -1 binary32)) (copysign.f32 (log.f32 (/.f32 #s(literal -1/2 binary32) x)) x) (if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) x) #s(literal 13421773/268435456 binary32)) (copysign.f32 (log1p.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))) x) (copysign.f32 (log.f32 (+.f32 x (fabs.f32 x))) x)))
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) x) #s(literal -1 binary32)) (copysign.f32 (log.f32 (/.f32 #s(literal -1/2 binary32) x)) x) (if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) x) #s(literal 13421773/268435456 binary32)) (copysign.f32 (neg.f32 (fma.f32 x x (log1p.f32 (neg.f32 (fabs.f32 x))))) x) (copysign.f32 (log.f32 (+.f32 x (fabs.f32 x))) x)))
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) x) #s(literal -1 binary32)) (copysign.f32 (log.f32 (/.f32 #s(literal -1/2 binary32) x)) x) (if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) x) #s(literal 13421773/268435456 binary32)) (copysign.f32 (log1p.f32 (fabs.f32 x)) x) (copysign.f32 (log.f32 (+.f32 x (fabs.f32 x))) x)))
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) x) #s(literal -1 binary32)) (copysign.f32 (log.f32 (-.f32 (fabs.f32 x) x)) x) (if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) x) #s(literal 13421773/268435456 binary32)) (copysign.f32 (log1p.f32 (fabs.f32 x)) x) (copysign.f32 (log.f32 (+.f32 x (fabs.f32 x))) x)))
(if (<=.f32 x #s(literal 13421773/268435456 binary32)) (copysign.f32 (log1p.f32 (fabs.f32 x)) x) (copysign.f32 (log.f32 (+.f32 x (fabs.f32 x))) x))
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) x) #s(literal 2 binary32)) (copysign.f32 (.f32 (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) x) (copysign.f32 (log.f32 x) x))
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) x) #s(literal 2 binary32)) (copysign.f32 (.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) x) (copysign.f32 (log.f32 x) x))
(copysign.f32 (.f32 (/.f32 (.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) x)
(copysign.f32 (.f32 x (/.f32 (.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) x)
(copysign.f32 (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x) x)
(copysign.f32 (.f32 x (.f32 x (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))) x)
(copysign.f32 (neg.f32 (*.f32 x x)) x)
(copysign.f32 (*.f32 x (neg.f32 x)) x)

soundness2.0s (19.9%)

Memory

-19.0MiB live, 1 256.0MiB allocated

Rules

24 610×	`lower-fma.f64`
24 610×	`lower-fma.f32`
13 536×	`lower-fma.f64`
13 536×	`lower-fma.f32`
12 210×	`lower-fma.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	526	5126
1	1566	4878
2	5000	4207
0	8522	3903
0	290	1761
1	802	1677
2	2471	1573
3	6771	1542
0	8252	1432
0	32	254
0	65	239
1	250	239
2	2094	235
0	8883	235
0	169	782
1	490	754
2	1511	741
3	5413	691
0	8421	635
0	21	108
0	41	108
1	123	108
2	1031	93
0	8410	93
0	214	3502
1	576	3490
2	1647	3480
3	5524	3366
0	8116	3064
0	32	224
0	63	225
1	228	180
2	1643	180
0	8647	176

Stop Event

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

Compiler

Compiled 1 006 to 364 computations (63.8% saved)

preprocess135.0ms (1.3%)

Memory: -2.0MiB live, 209.7MiB allocated
Compiler: Compiled 1 204 to 216 computations (82.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample870.0ms (8.6%)

preprocess99.0ms (1%)

explain255.0ms (2.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0%)

localize56.0ms (0.6%)

series21.0ms (0.2%)

rewrite287.0ms (2.8%)

simplify670.0ms (6.6%)

eval39.0ms (0.4%)

prune60.0ms (0.6%)

simplify68.0ms (0.7%)

localize79.0ms (0.8%)

series152.0ms (1.5%)

rewrite504.0ms (5%)

simplify332.0ms (3.3%)

eval198.0ms (2%)

prune88.0ms (0.9%)

simplify469.0ms (4.6%)

localize270.0ms (2.7%)

series40.0ms (0.4%)

rewrite570.0ms (5.6%)

simplify548.0ms (5.4%)

eval197.0ms (1.9%)

prune150.0ms (1.5%)

simplify204.0ms (2%)

localize202.0ms (2%)

series125.0ms (1.2%)

rewrite435.0ms (4.3%)

simplify418.0ms (4.1%)

eval139.0ms (1.4%)

prune202.0ms (2%)

regimes44.0ms (0.4%)

regimes48.0ms (0.5%)

regimes21.0ms (0.2%)

regimes20.0ms (0.2%)

regimes15.0ms (0.1%)

regimes12.0ms (0.1%)

regimes13.0ms (0.1%)

regimes12.0ms (0.1%)

regimes15.0ms (0.1%)

regimes8.0ms (0.1%)

regimes11.0ms (0.1%)

regimes11.0ms (0.1%)

regimes4.0ms (0%)

regimes3.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (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%)

simplify12.0ms (0.1%)

soundness2.0s (19.9%)

preprocess135.0ms (1.3%)

end0.0ms (0%)

Profiling