Metrics for Rust f32::asinh

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB 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)

sample516.0ms (6.6%)

Memory

-9.5MiB live, 741.9MiB allocated

Samples

301.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 166.0ms

ival-asinh: 158.0ms (95.4% of total)

ival-true: 5.0ms (3% of total)

ival-assert: 3.0ms (1.8% of total)

Bogosity

preprocess13.0ms (0.2%)

Memory

30.7MiB live, 30.7MiB 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)

explain242.0ms (3.1%)

Memory

-14.6MiB live, 354.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
132	1	(-0.003196610836312175)	5	(0.02319413423538208)	`(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))))`
58	0	-	0	-	`(sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))`
0	0	-	0	-	`#s(literal 1 binary32)`
0	0	-	0	-	`(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)`
0	0	-	0	-	`(*.f32 x x)`
0	0	-	0	-	`(+.f32 (*.f32 x x) #s(literal 1 binary32))`
0	0	-	0	-	`(+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))`
0	0	-	0	-	`x`
0	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	127	5
`sqrt.f32`	`(sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))`	oflow-rescue	58	0
↳	`(+.f32 (*.f32 x x) #s(literal 1 binary32))`	overflow	58
↳	`(*.f32 x x)`	overflow	58
`log.f32`	`(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))))`	oflow-rescue	1	0
↳	`(+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))`	overflow	1
↳	`(+.f32 (*.f32 x x) #s(literal 1 binary32))`	overflow	58
↳	`(*.f32 x x)`	overflow	58

Confusion

	Predicted +	Predicted -
+	184	5
-	1	66

Precision

0.9945945945945946

Recall

0.9735449735449735

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	184	5	0
-	1	0	66

Precision?

0.9947368421052631

Recall?

1.0

Freqs

test

number	freq
0	71
1	184
2	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

86.0ms	324×	0	valid
66.0ms	188×	1	valid

Compiler

Compiled 128 to 40 computations (68.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 132.0ms

ival-hypot: 64.0ms (48.6% of total)

adjust: 36.0ms (27.3% of total)

ival-log: 12.0ms (9.1% of total)

ival-add: 6.0ms (4.6% of total)

ival-copysign: 5.0ms (3.8% of total)

ival-mult: 4.0ms (3% of total)

ival-fabs: 4.0ms (3% of total)

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

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

exact: 0.0ms (0% of total)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	37.8%	(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)

simplify6.0ms (0.1%)

Memory

-25.1MiB live, 10.9MiB 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)

localize47.0ms (0.6%)

Memory

2.1MiB live, 85.1MiB 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	80.6%	(sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))
✓	accuracy	58.6%	(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))))

Samples

19.0ms	94×	1	valid
14.0ms	162×	0	valid

Compiler

Compiled 51 to 11 computations (78.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-log: 6.0ms (23.5% of total)

ival-hypot: 6.0ms (23.5% of total)

ival-copysign: 5.0ms (19.6% of total)

ival-add: 3.0ms (11.8% of total)

adjust: 2.0ms (7.8% of total)

ival-mult: 2.0ms (7.8% of total)

ival-fabs: 2.0ms (7.8% of total)

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

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

exact: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory

14.6MiB live, 14.6MiB 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)

rewrite280.0ms (3.6%)

Memory

10.6MiB live, 689.8MiB 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)))))
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(/.f32 (-.f32 (.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)))))) (.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))))))) (fma.f32 x (/.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 (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))))) #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))

simplify569.0ms (7.3%)

Memory

14.3MiB live, 799.6MiB 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)

eval80.0ms (1%)

Memory: -33.3MiB live, 61.9MiB allocated
Compiler: Compiled 10 251 to 1 600 computations (84.4% saved)

prune81.0ms (1%)

Memory

4.3MiB live, 200.4MiB allocated

Pruning

40 alts after pruning (39 fresh and 1 done)

	Pruned	Kept	Total
New	310	39	349
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	310	40	350

Accuracy

97.2%

Counts

350 → 40

Alt Table

Click to see full alt table

Status	Accuracy	Program
	56.2%	(copysign.f32 (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))) x)
	56.5%	(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)
	4.6%	(copysign.f32 (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)))) x)
	13.8%	(copysign.f32 (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))) x)
	2.9%	(copysign.f32 (fma.f32 #s(literal -1 binary32) (log.f32 (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (log.f32 (fma.f32 x x (fma.f32 x (neg.f32 x) #s(literal -1 binary32))))) x)
	14.4%	(copysign.f32 (-.f32 (neg.f32 (/.f32 (fabs.f32 x) x)) (neg.f32 (log.f32 (neg.f32 x)))) x)
	8.9%	(copysign.f32 (-.f32 (log1p.f32 (-.f32 (.f32 x x) (.f32 x x))) (log.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) x)
	10.2%	(copysign.f32 (-.f32 (log.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)))))) (log1p.f32 (fma.f32 x x (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))) x)
▶	8.8%	(copysign.f32 (-.f32 (log.f32 (fma.f32 x (neg.f32 x) (fma.f32 x x #s(literal 1 binary32)))) (log.f32 (neg.f32 (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) x)
	16.4%	(copysign.f32 (-.f32 (log.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))))) (log.f32 (.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))))))) x)
	13.8%	(copysign.f32 (+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x)) x)
	30.4%	(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)
▶	56.9%	(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
	9.5%	(copysign.f32 (log.f32 (fma.f32 (/.f32 (*.f32 x x) (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)))) (neg.f32 (/.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))) x)
	10.7%	(copysign.f32 (log.f32 (fma.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)))) (fabs.f32 x))) x)
▶	26.2%	(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)
	28.0%	(copysign.f32 (log.f32 (-.f32 (fabs.f32 x) x)) x)
	24.1%	(copysign.f32 (log.f32 (+.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))) x)
▶	25.8%	(copysign.f32 (log.f32 (+.f32 (-.f32 (fabs.f32 x) x) (/.f32 #s(literal -1/2 binary32) x))) x)
	23.9%	(copysign.f32 (log.f32 (+.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)))) x)
	27.2%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (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)))) x)
	30.3%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) #s(literal 1 binary32)))) x)
	27.7%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (+.f32 x (/.f32 #s(literal 1/2 binary32) x)))) x)
	30.5%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 (*.f32 x x) #s(literal 1 binary32) #s(literal 1 binary32))))) x)
	26.4%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (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))))))) x)
	12.9%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (hypot.f32 (*.f32 x (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) x)
	29.2%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (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)))))))) x)
	28.7%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (hypot.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (*.f32 x (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))) x)
	21.6%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (/.f32 (fma.f32 (.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 x x))) (.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 x x))) #s(literal -1 binary32)) (.f32 (fma.f32 (.f32 x x) (fma.f32 x x #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 x x)) #s(literal -1 binary32))))))) x)
	30.4%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (/.f32 (.f32 (sqrt.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 x x)) #s(literal 1 binary32))) (sqrt.f32 (fma.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))))))) x)
✓	37.8%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
	15.7%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (.f32 (/.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 x x)) #s(literal 1 binary32)) (.f32 (fma.f32 (.f32 x x) (fma.f32 x x #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 x x #s(literal -1 binary32)) (.f32 x x)))) (fma.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 x x #s(literal -1 binary32)) (*.f32 x x)))))) x)
	30.4%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (neg.f32 (fma.f32 x (neg.f32 x) #s(literal -1 binary32)))))) x)
	14.4%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (exp.f32 (.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 x x)))))) x)
	30.8%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x)
	28.9%	(copysign.f32 (log.f32 (+.f32 x (fabs.f32 x))) x)
	30.6%	(copysign.f32 (log.f32 (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)))) x)
	10.5%	(copysign.f32 (log.f32 (.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)))))))))) x)
	13.4%	(copysign.f32 (log.f32 (neg.f32 x)) x)
▶	12.8%	(copysign.f32 (log.f32 x) x)

Compiler

Compiled 1 877 to 941 computations (49.9% saved)

simplify720.0ms (9.3%)

Memory

9.3MiB live, 953.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	32	(-.f32 (log.f32 (fma.f32 x (neg.f32 x) (fma.f32 x x #s(literal 1 binary32)))) (log.f32 (neg.f32 (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))
✓	cost-diff	64	(neg.f32 (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
✓	cost-diff	448	(fma.f32 x (neg.f32 x) (fma.f32 x x #s(literal 1 binary32)))
✓	cost-diff	3200	(log.f32 (fma.f32 x (neg.f32 x) (fma.f32 x x #s(literal 1 binary32))))
✓	cost-diff	0	(sqrt.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
✓	cost-diff	0	(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)))
✓	cost-diff	0	(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)
✓	cost-diff	1248	(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))
✓	cost-diff	0	(-.f32 (fabs.f32 x) x)
✓	cost-diff	0	(+.f32 (-.f32 (fabs.f32 x) x) (/.f32 #s(literal -1/2 binary32) x))
✓	cost-diff	0	(log.f32 (+.f32 (-.f32 (fabs.f32 x) x) (/.f32 #s(literal -1/2 binary32) x)))
✓	cost-diff	0	(copysign.f32 (log.f32 (+.f32 (-.f32 (fabs.f32 x) x) (/.f32 #s(literal -1/2 binary32) x))) x)
✓	cost-diff	0	(log.f32 x)
✓	cost-diff	0	(copysign.f32 (log.f32 x) x)
✓	cost-diff	0	(fabs.f32 x)
✓	cost-diff	0	(log1p.f32 (fabs.f32 x))
✓	cost-diff	0	(copysign.f32 (log1p.f32 (fabs.f32 x)) x)

Rules

29 252×	`lower-fma.f64`
29 248×	`lower-fma.f32`
3 472×	`lower-*.f64`
3 472×	`lower-*.f32`
2 436×	`lower-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	27	226
0	55	198
1	79	198
2	131	191
3	232	168
4	433	168
5	657	168
6	1123	168
7	2555	168
8	4686	168
9	6066	168
10	6931	168
11	7346	168
12	7549	168
13	7640	168
14	7697	168
15	7732	168
0	8249	168

Stop Event

1×	iter limit
1×	node limit
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 (-.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 (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)
(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)))
(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))
(sqrt.f32 (sqrt.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))
x
#s(literal 1 binary32)
(fabs.f32 x)
(copysign.f32 (-.f32 (log.f32 (fma.f32 x (neg.f32 x) (fma.f32 x x #s(literal 1 binary32)))) (log.f32 (neg.f32 (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) x)
(-.f32 (log.f32 (fma.f32 x (neg.f32 x) (fma.f32 x x #s(literal 1 binary32)))) (log.f32 (neg.f32 (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))
(log.f32 (fma.f32 x (neg.f32 x) (fma.f32 x x #s(literal 1 binary32))))
(fma.f32 x (neg.f32 x) (fma.f32 x x #s(literal 1 binary32)))
x
(neg.f32 x)
(fma.f32 x x #s(literal 1 binary32))
#s(literal 1 binary32)
(log.f32 (neg.f32 (-.f32 (fabs.f32 x) (sqrt.f32 (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 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(fabs.f32 x)
(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 (-.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 (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 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x)
(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)))
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
(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))
(+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(sqrt.f32 (sqrt.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))
x
#s(literal 1 binary32)
(fabs.f32 x)
(copysign.f32 (-.f32 (log.f32 (fma.f32 x (neg.f32 x) (fma.f32 x x #s(literal 1 binary32)))) (log.f32 (neg.f32 (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) x)
(copysign.f32 (neg.f32 (log.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) x)
(-.f32 (log.f32 (fma.f32 x (neg.f32 x) (fma.f32 x x #s(literal 1 binary32)))) (log.f32 (neg.f32 (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))
(neg.f32 (log.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))))
(log.f32 (fma.f32 x (neg.f32 x) (fma.f32 x x #s(literal 1 binary32))))
#s(literal 0 binary32)
(fma.f32 x (neg.f32 x) (fma.f32 x x #s(literal 1 binary32)))
#s(literal 1 binary32)
x
(neg.f32 x)
(fma.f32 x x #s(literal 1 binary32))
#s(literal 1 binary32)
(log.f32 (neg.f32 (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
(log.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))
(neg.f32 (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
(-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))
(-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(fabs.f32 x)
(sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))

localize204.0ms (2.6%)

Memory

-21.3MiB live, 160.3MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(neg.f32 x)
✓	accuracy	100.0%	(log.f32 (fma.f32 x (neg.f32 x) (fma.f32 x x #s(literal 1 binary32))))
✓	accuracy	100.0%	(log.f32 (neg.f32 (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
✓	accuracy	100.0%	(fabs.f32 x)
✓	accuracy	100.0%	(sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))
✓	accuracy	100.0%	(sqrt.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
✓	accuracy	100.0%	(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)))
✓	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 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

138.0ms

256×

invalid

Compiler

Compiled 259 to 32 computations (87.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 124.0ms

ival-log: 53.0ms (42.6% of total)

ival-add: 40.0ms (32.1% of total)

ival-copysign: 9.0ms (7.2% of total)

ival-mult: 4.0ms (3.2% of total)

ival-hypot: 4.0ms (3.2% of total)

ival-sub: 3.0ms (2.4% of total)

ival-div: 2.0ms (1.6% of total)

ival-fabs: 2.0ms (1.6% of total)

ival-log1p: 2.0ms (1.6% of total)

ival-sqrt: 2.0ms (1.6% of total)

ival-neg: 2.0ms (1.6% of total)

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

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

exact: 0.0ms (0% of total)

series430.0ms (5.5%)

Memory

32.4MiB live, 451.5MiB allocated

Counts

20 → 240

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 (-.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 (-.f32 (fabs.f32 x) x)>
#<alt (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))>
#<alt (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)>
#<alt (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)))>
#<alt (sqrt.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))>
#<alt (log.f32 (fma.f32 x (neg.f32 x) (fma.f32 x x #s(literal 1 binary32))))>
#<alt (fma.f32 x (neg.f32 x) (fma.f32 x x #s(literal 1 binary32)))>
#<alt (neg.f32 (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))>
#<alt (-.f32 (log.f32 (fma.f32 x (neg.f32 x) (fma.f32 x x #s(literal 1 binary32)))) (log.f32 (neg.f32 (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))>
#<alt (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))>
#<alt (log.f32 (neg.f32 (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))>
#<alt (neg.f32 x)>

Outputs
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (copysign (log x) 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 (* 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 (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 (+ 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 (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>
#<alt (+ 1 (* 1/4 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/4 (* -3/32 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 7/128 (pow x 2)) 3/32)))))>
#<alt (sqrt x)>
#<alt (+ (sqrt x) (* 1/4 (sqrt (/ 1 (pow x 3)))))>
#<alt (+ (sqrt x) (+ (* -3/32 (sqrt (/ 1 (pow x 7)))) (* 1/4 (sqrt (/ 1 (pow x 3))))))>
#<alt (+ (sqrt x) (+ (* -3/32 (sqrt (/ 1 (pow x 7)))) (+ (* 7/128 (sqrt (/ 1 (pow x 11)))) (* 1/4 (sqrt (/ 1 (pow x 3)))))))>
#<alt (* (sqrt x) (sqrt -1))>
#<alt (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt x) (sqrt -1)))>
#<alt (+ (* -3/32 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt x) (sqrt -1))))>
#<alt (+ (* -3/32 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 7/128 (* (sqrt (/ 1 (pow x 11))) (sqrt -1))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt x) (sqrt -1)))))>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt (- 1 (fabs x))>
#<alt (- (+ 1 (* 1/2 (pow x 2))) (fabs x))>
#<alt (- (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))) (fabs x))>
#<alt (- (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))) (fabs x))>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ (fabs x) x))))>
#<alt (* x (- (+ 1 (/ 1/2 (pow x 2))) (/ (fabs x) x)))>
#<alt (* x (- (+ 1 (/ 1/2 (pow x 2))) (+ (* 1/8 (/ 1 (pow x 4))) (/ (fabs x) x))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (/ (fabs x) x))))>
#<alt (* -1 (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) (fabs x)) x)))))>
#<alt (* -1 (log (- 1 (fabs x))))>
#<alt (- (* -1/2 (/ (pow x 2) (- 1 (fabs x)))) (log (- 1 (fabs x))))>
#<alt (- (* (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))))>
#<alt (- (* (pow x 2) (- (* (pow 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))))))) (* -1/24 (+ (* 3 (/ 1 (- 1 (fabs x)))) (* 3 (/ 1 (pow (- 1 (fabs x)) 2))))))) (* 1/2 (/ 1 (- 1 (fabs x)))))) (log (- 1 (fabs x))))>
#<alt (log (/ 1 x))>
#<alt (- (/ (fabs x) x) (* -1 (log (/ 1 x))))>
#<alt (- (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (+ (* -1 (log (/ 1 x))) (* -1 (/ (fabs x) x))))>
#<alt (- (* -1/6 (/ (+ (* -2 (pow (fabs x) 3)) (* 3 (fabs x))) (pow x 3))) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (fabs x) x)) (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))))))>
#<alt (log (/ -1 x))>
#<alt (- (* -1 (/ (fabs x) x)) (* -1 (log (/ -1 x))))>
#<alt (- (* -1 (/ (- (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x)) (* -1 (fabs x))) x)) (* -1 (log (/ -1 x))))>
#<alt (- (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ (+ (* -2 (pow (fabs x) 3)) (* 3 (fabs x))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x)) (* -1 (fabs x))) x)) (* -1 (log (/ -1 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 (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))) (* -1 (/ (fabs x) x)))>
#<alt (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (fabs x) x)) (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2)))))>
#<alt (+ (* -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))) (/ (fabs x) x))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1/6 (/ (+ (* -2 (pow (fabs x) 3)) (* 3 (fabs x))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>

Calls

60 calls:

Time	Variable		Point	Expression
165.0ms	x	@	0	(log (+ (* x (neg x)) (+ (* x x) 1)))
125.0ms	x	@	0	(log x)
51.0ms	x	@	inf	(log x)
28.0ms	x	@	0	(log (+ 1 (fabs x)))
21.0ms	x	@	inf	(log (+ 1 (fabs x)))

rewrite298.0ms (3.8%)

Memory

16.7MiB live, 566.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 444×	`lower-/.f64`
4 442×	`lower-/.f32`
4 254×	`lower-*.f64`
4 254×	`lower-*.f32`
3 338×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	166
0	53	144
1	179	144
2	1485	144
0	8205	140

Stop Event

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

Counts

20 → 527

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 (-.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)
(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))
(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)
(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)))
(sqrt.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(log.f32 (fma.f32 x (neg.f32 x) (fma.f32 x x #s(literal 1 binary32))))
(fma.f32 x (neg.f32 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 (log.f32 (fma.f32 x (neg.f32 x) (fma.f32 x x #s(literal 1 binary32)))) (log.f32 (neg.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)))
(log.f32 (neg.f32 (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
(neg.f32 x)

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

simplify500.0ms (6.4%)

Memory

6.0MiB live, 748.0MiB allocated

Algorithm

1×	egg-herbie

Rules

17 506×	`lower-fma.f64`
17 506×	`lower-fma.f32`
6 336×	`lower-+.f64`
6 336×	`lower-+.f32`
5 012×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	384	2501
1	1140	2364
2	3543	2240
0	8359	2046

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 237

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 (* 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)))))
(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)))))
(+ 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)))))
(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
(+ 1 (* 1/4 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/4 (* -3/32 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 7/128 (pow x 2)) 3/32)))))
(sqrt x)
(+ (sqrt x) (* 1/4 (sqrt (/ 1 (pow x 3)))))
(+ (sqrt x) (+ (* -3/32 (sqrt (/ 1 (pow x 7)))) (* 1/4 (sqrt (/ 1 (pow x 3))))))
(+ (sqrt x) (+ (* -3/32 (sqrt (/ 1 (pow x 7)))) (+ (* 7/128 (sqrt (/ 1 (pow x 11)))) (* 1/4 (sqrt (/ 1 (pow x 3)))))))
(* (sqrt x) (sqrt -1))
(+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt x) (sqrt -1)))
(+ (* -3/32 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt x) (sqrt -1))))
(+ (* -3/32 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 7/128 (* (sqrt (/ 1 (pow x 11))) (sqrt -1))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt x) (sqrt -1)))))
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
(- 1 (fabs x))
(- (+ 1 (* 1/2 (pow x 2))) (fabs x))
(- (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))) (fabs x))
(- (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))) (fabs x))
x
(* x (+ 1 (* -1 (/ (fabs x) x))))
(* x (- (+ 1 (/ 1/2 (pow x 2))) (/ (fabs x) x)))
(* x (- (+ 1 (/ 1/2 (pow x 2))) (+ (* 1/8 (/ 1 (pow x 4))) (/ (fabs x) x))))
(* -1 x)
(* -1 (* x (+ 1 (/ (fabs x) x))))
(* -1 (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) (fabs x)) x)))))
(* -1 (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) (- (* -1/720 (* (pow x 2) (+ (* 45 (/ 1 (- 1 (fabs x)))) (+ (* 45 (/ 1 (pow (- 1 (fabs x)) 2))) (* 30 (/ 1 (pow (- 1 (fabs x)) 3))))))) (* -1/24 (+ (* 3 (/ 1 (- 1 (fabs x)))) (* 3 (/ 1 (pow (- 1 (fabs x)) 2))))))) (* 1/2 (/ 1 (- 1 (fabs x)))))) (log (- 1 (fabs x))))
(log (/ 1 x))
(- (/ (fabs x) x) (* -1 (log (/ 1 x))))
(- (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (+ (* -1 (log (/ 1 x))) (* -1 (/ (fabs x) x))))
(- (* -1/6 (/ (+ (* -2 (pow (fabs x) 3)) (* 3 (fabs x))) (pow x 3))) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (fabs x) x)) (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))))))
(log (/ -1 x))
(- (* -1 (/ (fabs x) x)) (* -1 (log (/ -1 x))))
(- (* -1 (/ (- (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x)) (* -1 (fabs x))) x)) (* -1 (log (/ -1 x))))
(- (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ (+ (* -2 (pow (fabs x) 3)) (* 3 (fabs x))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x)) (* -1 (fabs x))) x)) (* -1 (log (/ -1 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)))))
(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))) (* -1 (/ (fabs x) x)))
(+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (fabs x) x)) (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2)))))
(+ (* -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))) (/ (fabs x) x))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1/6 (/ (+ (* -2 (pow (fabs x) 3)) (* 3 (fabs x))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)

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)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(copysign (log (- (fabs x) (+ x (* 1/2 (/ 1 x))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x))) x)
(copysign (log (- (fabs x) (+ x (* 1/2 (/ 1 x))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x))) x)
(copysign (log (- (fabs x) (+ x (* 1/2 (/ 1 x))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x))) x)
(copysign (log (- (fabs x) (+ x (* 1/2 (/ 1 x))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x))) x)
(copysign (log (- (fabs x) (+ x (* 1/2 (/ 1 x))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x))) x)
(copysign (log (- (fabs x) (+ x (* 1/2 (/ 1 x))))) x)
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(/ -1/2 x)
(/.f32 #s(literal -1/2 binary32) x)
(/ (- (* x (fabs x)) 1/2) x)
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(/ (- (* x (+ (fabs x) (* -1 x))) 1/2) x)
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(/ (- (* x (+ (fabs x) (* -1 x))) 1/2) x)
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(* -1 x)
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(-.f32 (fabs.f32 x) x)
(* x (- (/ (fabs x) x) (+ 1 (/ 1/2 (pow x 2)))))
(-.f32 (fabs.f32 x) (fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) x) x))
(* x (- (/ (fabs x) x) (+ 1 (/ 1/2 (pow x 2)))))
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(fabs x)
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x
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(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))
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(log (+ 1 (fabs x)))
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1
#s(literal 1 binary32)
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(* (sqrt x) (sqrt -1))
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#s(literal 0 binary32)
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#s(literal 0 binary32)
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#s(literal 0 binary32)
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#s(literal 0 binary32)
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#s(literal 0 binary32)
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#s(literal 0 binary32)
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#s(literal 0 binary32)
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#s(literal 1 binary32)
1
#s(literal 1 binary32)
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#s(literal 1 binary32)
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#s(literal 1 binary32)
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#s(literal 1 binary32)
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#s(literal 1 binary32)
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#s(literal 1 binary32)
1
#s(literal 1 binary32)
1
#s(literal 1 binary32)
1
#s(literal 1 binary32)
1
#s(literal 1 binary32)
(- 1 (fabs x))
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(- (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))) (fabs x))
(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 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))) (fabs x))
(fma.f32 (.f32 (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)) x) x (-.f32 #s(literal 1 binary32) (fabs.f32 x)))
x
(* x (+ 1 (* -1 (/ (fabs x) x))))
(-.f32 x (fabs.f32 x))
(* x (- (+ 1 (/ 1/2 (pow x 2))) (/ (fabs x) x)))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) x) (-.f32 x (fabs.f32 x)))
(* x (- (+ 1 (/ 1/2 (pow x 2))) (+ (* 1/8 (/ 1 (pow x 4))) (/ (fabs x) x))))
(+.f32 (fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) x) x) (fma.f32 x (/.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) (*.f32 x x))) (neg.f32 (fabs.f32 x))))
(* -1 x)
(neg.f32 x)
(* -1 (* x (+ 1 (/ (fabs x) x))))
(neg.f32 (+.f32 x (fabs.f32 x)))
(* -1 (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x)))))
(neg.f32 (+.f32 x (fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) x) (fabs.f32 x))))
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) (fabs x)) x)))))
(neg.f32 (+.f32 x (fma.f32 (neg.f32 x) (neg.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 x x))) (.f32 x x))) (fabs.f32 x))))
(* -1 (log (- 1 (fabs x))))
(neg.f32 (log1p.f32 (neg.f32 (fabs.f32 x))))
(- (* -1/2 (/ (pow x 2) (- 1 (fabs x)))) (log (- 1 (fabs x))))
(-.f32 (.f32 #s(literal -1/2 binary32) (.f32 x (/.f32 x (-.f32 #s(literal 1 binary32) (fabs.f32 x))))) (log1p.f32 (neg.f32 (fabs.f32 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))))
(fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (+.f32 (/.f32 #s(literal 1/8 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))))) (/.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) (fabs.f32 x)))) (neg.f32 (log1p.f32 (neg.f32 (fabs.f32 x)))))
(- (* (pow x 2) (- (* (pow 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))))))) (* -1/24 (+ (* 3 (/ 1 (- 1 (fabs x)))) (* 3 (/ 1 (pow (- 1 (fabs x)) 2))))))) (* 1/2 (/ 1 (- 1 (fabs x)))))) (log (- 1 (fabs x))))
(fma.f32 x (.f32 x (fma.f32 (.f32 x x) (+.f32 (fma.f32 (+.f32 (/.f32 #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 (/.f32 #s(literal 45 binary32) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (/.f32 #s(literal 45 binary32) (.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) (-.f32 #s(literal 1 binary32) (fabs.f32 x)))))) (.f32 (.f32 x x) #s(literal -1/720 binary32)) (/.f32 #s(literal 1/8 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))))) (/.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) (fabs.f32 x))))) (neg.f32 (log1p.f32 (neg.f32 (fabs.f32 x)))))
(log (/ 1 x))
(neg.f32 (log.f32 x))
(- (/ (fabs x) x) (* -1 (log (/ 1 x))))
(-.f32 (/.f32 (fabs.f32 x) x) (log.f32 x))
(- (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (+ (* -1 (log (/ 1 x))) (* -1 (/ (fabs x) x))))
(fma.f32 (fma.f32 x x #s(literal -1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) (-.f32 (/.f32 (fabs.f32 x) x) (log.f32 x)))
(- (* -1/6 (/ (+ (* -2 (pow (fabs x) 3)) (* 3 (fabs x))) (pow x 3))) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (fabs x) x)) (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))))))
(fma.f32 (/.f32 (.f32 (fabs.f32 x) (fma.f32 #s(literal -2 binary32) (.f32 x x) #s(literal 3 binary32))) (.f32 x (.f32 x x))) #s(literal -1/6 binary32) (fma.f32 (fma.f32 x x #s(literal -1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) (-.f32 (/.f32 (fabs.f32 x) x) (log.f32 x))))
(log (/ -1 x))
(log.f32 (/.f32 #s(literal -1 binary32) x))
(- (* -1 (/ (fabs x) x)) (* -1 (log (/ -1 x))))
(-.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (/.f32 (fabs.f32 x) x))
(- (* -1 (/ (- (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x)) (* -1 (fabs x))) x)) (* -1 (log (/ -1 x))))
(+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (/.f32 (fma.f32 (fma.f32 x x #s(literal -1 binary32)) (/.f32 #s(literal 1/2 binary32) x) (neg.f32 (fabs.f32 x))) x))
(- (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ (+ (* -2 (pow (fabs x) 3)) (* 3 (fabs x))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x)) (* -1 (fabs x))) x)) (* -1 (log (/ -1 x))))
(-.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (/.f32 (-.f32 (fabs.f32 x) (/.f32 (fma.f32 #s(literal 1/6 binary32) (/.f32 (.f32 (fabs.f32 x) (fma.f32 #s(literal -2 binary32) (.f32 x x) #s(literal 3 binary32))) x) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) #s(literal -1/2 binary32))) 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)))))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) x) 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))) (fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) x) x))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(fma.f32 x (+.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (+.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 x)
(neg.f32 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(neg.f32 (fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) x) x))
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(neg.f32 (fma.f32 x (/.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) (*.f32 x x))) (fma.f32 #s(literal 1 binary32) (/.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)))))
(neg.f32 (fma.f32 x (+.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 x x)) (/.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) (.f32 x x))))) x))
(log (- 1 (fabs x)))
(log1p.f32 (neg.f32 (fabs.f32 x)))
(+ (log (- 1 (fabs x))) (* 1/2 (/ (pow x 2) (- 1 (fabs x)))))
(fma.f32 x (*.f32 x (/.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) (fabs.f32 x)))) (log1p.f32 (neg.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 (.f32 x x) (fma.f32 x (.f32 x (+.f32 (/.f32 #s(literal -1/8 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)))))) (/.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) (fabs.f32 x)))) (log1p.f32 (neg.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 x (.f32 x (fma.f32 (+.f32 (/.f32 #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 (/.f32 #s(literal 45 binary32) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (/.f32 #s(literal 45 binary32) (.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) (-.f32 #s(literal 1 binary32) (fabs.f32 x)))))) (.f32 (.f32 x x) #s(literal 1/720 binary32)) (+.f32 (/.f32 #s(literal -1/8 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))))))) (/.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) (fabs.f32 x)))) (log1p.f32 (neg.f32 (fabs.f32 x))))
(* -1 (log (/ 1 x)))
(log.f32 x)
(+ (* -1 (log (/ 1 x))) (* -1 (/ (fabs x) x)))
(-.f32 (log.f32 x) (/.f32 (fabs.f32 x) x))
(+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (fabs x) x)) (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2)))))
(+.f32 (log.f32 x) (-.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (.f32 x x) #s(literal 1/2 binary32)) (.f32 x x)) (/.f32 (fabs.f32 x) x)))
(+ (* -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))))))
(+.f32 (-.f32 (log.f32 x) (/.f32 (fabs.f32 x) x)) (fma.f32 #s(literal 1/6 binary32) (/.f32 (.f32 (fabs.f32 x) (fma.f32 #s(literal -2 binary32) (.f32 x x) #s(literal 3 binary32))) (.f32 x (.f32 x x))) (/.f32 (fma.f32 #s(literal -1/2 binary32) (.f32 x x) #s(literal 1/2 binary32)) (.f32 x x))))
(* -1 (log (/ -1 x)))
(neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (* -1 (log (/ -1 x))) (/ (fabs x) x))
(-.f32 (/.f32 (fabs.f32 x) x) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(neg.f32 (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (/.f32 (fma.f32 (fma.f32 x x #s(literal -1 binary32)) (/.f32 #s(literal 1/2 binary32) x) (neg.f32 (fabs.f32 x))) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1/6 (/ (+ (* -2 (pow (fabs x) 3)) (* 3 (fabs x))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))
(-.f32 (/.f32 (+.f32 (fabs.f32 x) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (.f32 (fabs.f32 x) (fma.f32 #s(literal -2 binary32) (.f32 x x) #s(literal 3 binary32))) x) (fma.f32 #s(literal -1/2 binary32) (*.f32 x x) #s(literal 1/2 binary32))) x)) x) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)

eval105.0ms (1.4%)

Memory: 18.3MiB live, 260.6MiB allocated
Compiler: Compiled 26 771 to 3 470 computations (87% saved)

prune114.0ms (1.5%)

Memory

5.3MiB live, 364.5MiB allocated

Pruning

11 alts after pruning (7 fresh and 4 done)

	Pruned	Kept	Total
New	941	2	943
Fresh	29	5	34
Picked	2	3	5
Done	0	1	1
Total	972	11	983

Accuracy

99.4%

Counts

983 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	56.9%	(copysign.f32 (log1p.f32 (fabs.f32 (neg.f32 x))) x)
✓	56.9%	(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
▶	25.8%	(copysign.f32 (log.f32 (/.f32 #s(literal -1/2 binary32) x)) x)
▶	28.0%	(copysign.f32 (log.f32 (-.f32 (fabs.f32 x) x)) x)
✓	25.8%	(copysign.f32 (log.f32 (+.f32 (-.f32 (fabs.f32 x) x) (/.f32 #s(literal -1/2 binary32) x))) x)
	27.7%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (+.f32 x (/.f32 #s(literal 1/2 binary32) x)))) x)
✓	37.8%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
	14.4%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (exp.f32 (.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 x x)))))) x)
▶	28.9%	(copysign.f32 (log.f32 (+.f32 x (fabs.f32 x))) x)
▶	13.4%	(copysign.f32 (log.f32 (neg.f32 x)) x)
✓	12.8%	(copysign.f32 (log.f32 x) x)

Compiler

Compiled 160 to 108 computations (32.5% saved)

simplify17.0ms (0.2%)

Memory

-10.4MiB live, 29.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Rules

176×	`lower-fma.f64`
176×	`lower-fma.f32`
96×	`lower-*.f64`
96×	`lower-*.f32`
72×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	80
0	36	77
1	46	77
2	55	77
3	66	77
4	97	77
5	128	77
6	152	77
7	182	77
8	235	77
9	281	77
10	300	77
11	309	77
12	310	77
0	310	77

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize118.0ms (1.5%)

Memory

-4.4MiB live, 131.8MiB allocated

Localize:

Found 18 expressions of interest:

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

Samples

68.0ms

256×

invalid

Compiler

Compiled 86 to 20 computations (76.7% saved)

Precisions

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

ival-copysign: 9.0ms (32.4% of total)

ival-log: 7.0ms (25.2% of total)

ival-log1p: 3.0ms (10.8% of total)

ival-div: 2.0ms (7.2% of total)

ival-fabs: 2.0ms (7.2% of total)

ival-add: 1.0ms (3.6% of total)

ival-sub: 1.0ms (3.6% of total)

ival-neg: 1.0ms (3.6% of total)

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

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

exact: 0.0ms (0% of total)

series149.0ms (1.9%)

Memory

-9.7MiB live, 145.8MiB allocated

Counts

16 → 192

Calls

Call 1

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

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

Calls

48 calls:

Time	Variable		Point	Expression
42.0ms	x	@	inf	(log (neg x))
32.0ms	x	@	inf	(log (/ -1/2 x))
19.0ms	x	@	0	(log (+ 1 (fabs (neg x))))
18.0ms	x	@	inf	(log (+ 1 (fabs (neg x))))
13.0ms	x	@	-inf	(log (/ -1/2 x))

rewrite152.0ms (2%)

Memory

7.1MiB live, 45.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

192×	`lower-fma.f64`
192×	`lower-fma.f32`
170×	`lower-/.f64`
168×	`lower-/.f32`
142×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	70
0	36	67
1	89	67
0	470	67

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

16 → 96

Calls

Call 1

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

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

simplify540.0ms (7%)

Memory

9.0MiB live, 642.6MiB allocated

Algorithm

1×	egg-herbie

Rules

18 552×	`lower-fma.f64`
18 552×	`lower-fma.f32`
3 284×	`lower-*.f64`
3 284×	`lower-*.f32`
2 776×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	155	1173
1	365	1123
2	912	1048
3	3617	1006
0	9006	952

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 190

Calls

Call 1

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

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

eval23.0ms (0.3%)

Memory: 8.8MiB live, 43.5MiB allocated
Compiler: Compiled 2 764 to 433 computations (84.3% saved)

prune22.0ms (0.3%)

Memory

12.2MiB live, 49.0MiB allocated

Pruning

11 alts after pruning (2 fresh and 9 done)

	Pruned	Kept	Total
New	322	0	322
Fresh	0	2	2
Picked	0	5	5
Done	0	4	4
Total	322	11	333

Accuracy

99.4%

Counts

333 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	56.9%	(copysign.f32 (log1p.f32 (fabs.f32 (neg.f32 x))) x)
✓	56.9%	(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
✓	25.8%	(copysign.f32 (log.f32 (/.f32 #s(literal -1/2 binary32) x)) x)
✓	28.0%	(copysign.f32 (log.f32 (-.f32 (fabs.f32 x) x)) x)
✓	25.8%	(copysign.f32 (log.f32 (+.f32 (-.f32 (fabs.f32 x) x) (/.f32 #s(literal -1/2 binary32) x))) x)
▶	27.7%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (+.f32 x (/.f32 #s(literal 1/2 binary32) x)))) x)
✓	37.8%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
▶	14.4%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (exp.f32 (.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 x x)))))) x)
✓	28.9%	(copysign.f32 (log.f32 (+.f32 x (fabs.f32 x))) x)
✓	13.4%	(copysign.f32 (log.f32 (neg.f32 x)) x)
✓	12.8%	(copysign.f32 (log.f32 x) x)

Compiler

Compiled 98 to 66 computations (32.7% saved)

simplify39.0ms (0.5%)

Memory

-35.4MiB live, 9.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fabs.f32 x)
✓	cost-diff	0	(+.f32 (fabs.f32 x) (+.f32 x (/.f32 #s(literal 1/2 binary32) x)))
✓	cost-diff	0	(log.f32 (+.f32 (fabs.f32 x) (+.f32 x (/.f32 #s(literal 1/2 binary32) x))))
✓	cost-diff	0	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (+.f32 x (/.f32 #s(literal 1/2 binary32) x)))) x)
✓	cost-diff	0	(+.f32 (fabs.f32 x) (exp.f32 (.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 x x)))))
✓	cost-diff	0	(log.f32 (+.f32 (fabs.f32 x) (exp.f32 (.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 x x))))))
✓	cost-diff	0	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (exp.f32 (.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 x x)))))) x)
✓	cost-diff	6208	(exp.f32 (.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 x x))))

Rules

32×	`lower-+.f64`
26×	`lower-+.f32`
14×	`+-commutative`
6×	`associate-+l+`
6×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	98
0	30	98
1	41	98
2	51	94
3	55	94
0	55	90

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize71.0ms (0.9%)

Memory

15.0MiB live, 128.1MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fabs.f32 x)
✓	accuracy	100.0%	(+.f32 (fabs.f32 x) (+.f32 x (/.f32 #s(literal 1/2 binary32) x)))
✓	accuracy	100.0%	(log.f32 (+.f32 (fabs.f32 x) (+.f32 x (/.f32 #s(literal 1/2 binary32) x))))
✓	accuracy	100.0%	(+.f32 x (/.f32 #s(literal 1/2 binary32) x))
✓	accuracy	100.0%	(+.f32 (fabs.f32 x) (exp.f32 (.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 x x)))))
✓	accuracy	97.7%	(exp.f32 (.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 x x))))
✓	accuracy	81.6%	(log.f32 (+.f32 (fabs.f32 x) (exp.f32 (.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 x x))))))
✓	accuracy	77.5%	(log1p.f32 (*.f32 x x))

Samples

20.0ms	45×	1	valid
20.0ms	136×	0	invalid
9.0ms	75×	0	valid

Compiler

Compiled 112 to 17 computations (84.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-log: 15.0ms (37.6% of total)

ival-div: 4.0ms (10% of total)

ival-copysign: 4.0ms (10% of total)

ival-add: 4.0ms (10% of total)

ival-exp: 3.0ms (7.5% of total)

ival-log1p: 3.0ms (7.5% of total)

ival-mult: 3.0ms (7.5% of total)

ival-fabs: 2.0ms (5% of total)

adjust: 1.0ms (2.5% of total)

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

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

exact: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory

11.3MiB live, 11.3MiB allocated

Counts

10 → 120

Calls

Call 1

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

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

Calls

30 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(log (+ (fabs x) (+ x (/ 1/2 x))))
0.0ms	x	@	0	(log (+ 1 (* x x)))
0.0ms	x	@	-inf	(log (+ (fabs x) (+ x (/ 1/2 x))))
0.0ms	x	@	inf	(log (+ 1 (* x x)))
0.0ms	x	@	-inf	(copysign (log (+ (fabs x) (+ x (/ 1/2 x)))) x)

rewrite643.0ms (8.3%)

Memory

-150.8MiB live, 500.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

10 758×	`lower-fma.f64`
10 758×	`lower-fma.f32`
4 228×	`lower-*.f64`
4 224×	`lower-*.f32`
3 336×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	80
0	30	80
1	98	80
2	733	76
0	8732	72

Stop Event

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

Counts

10 → 363

Calls

Call 1

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

Outputs
(exp.f32 (.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 x x))))
(pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/2 binary32))
(pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log1p.f32 (*.f32 x x)))
(pow.f32 (exp.f32 #s(literal 1/2 binary32)) (.f32 (log1p.f32 (.f32 x x)) #s(literal 1 binary32)))
(pow.f32 (exp.f32 #s(literal 1 binary32)) (.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 x x))))
(pow.f32 (exp.f32 (.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 x x))))) #s(literal 2 binary32))
(/.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log1p.f32 (.f32 x (.f32 x (.f32 x (.f32 x (.f32 x x))))))) (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log1p.f32 (.f32 x (*.f32 x (fma.f32 x x #s(literal -1 binary32)))))))
(/.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log1p.f32 (.f32 x (.f32 x (.f32 x x))))) (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log1p.f32 (.f32 x (neg.f32 x)))))
(sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))
(.f32 (exp.f32 (.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 x x))))) (exp.f32 (.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 x x))))))
(.f32 (pow.f32 (fma.f32 x (.f32 x (.f32 x (.f32 x (.f32 x x)))) #s(literal 1 binary32)) #s(literal 1/2 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x (.f32 x (fma.f32 x x #s(literal -1 binary32))) #s(literal 1 binary32))) #s(literal 1/2 binary32)))
(.f32 (pow.f32 (fma.f32 x (.f32 x (*.f32 x x)) #s(literal 1 binary32)) #s(literal 1/2 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) #s(literal 1/2 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)))
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))))
(+.f32 (log.f32 (fma.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (.f32 x (.f32 x x)))) (log.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (.f32 x x)))))
(+.f32 (log.f32 (fma.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (.f32 (sqrt.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 (log.f32 (fma.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (.f32 x x)))))
(+.f32 (log.f32 (*.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))
(+.f32 (log.f32 (*.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) (neg.f32 (log.f32 (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))))
(-.f32 (log.f32 (fma.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (.f32 x (.f32 x x)))) (log.f32 (fma.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (.f32 x x))))
(-.f32 (log.f32 (*.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) (log.f32 (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
(-.f32 (log.f32 (neg.f32 (*.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) (log.f32 (neg.f32 (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))
(-.f32 (log.f32 (*.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) x) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) x))) (log.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))))
(-.f32 (log.f32 (neg.f32 (fma.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (.f32 x (.f32 x x))))) (log.f32 (neg.f32 (fma.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (.f32 x x)))))
(/.f32 (-.f32 (pow.f32 (log.f32 (fma.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (.f32 (sqrt.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 3 binary32)) (pow.f32 (log.f32 (fma.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (.f32 x x))) #s(literal 3 binary32))) (fma.f32 (log.f32 (fma.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (.f32 x (.f32 x x)))) (log.f32 (fma.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (.f32 x (.f32 x x)))) (fma.f32 (log.f32 (fma.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (.f32 x x))) (log.f32 (fma.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (.f32 x x))) (.f32 (log.f32 (fma.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (.f32 x (.f32 x x)))) (log.f32 (fma.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (*.f32 x x)))))))
(/.f32 (-.f32 (pow.f32 (log.f32 (.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) #s(literal 3 binary32)) (pow.f32 (log.f32 (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 3 binary32))) (fma.f32 (log.f32 (.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) (log.f32 (.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) (fma.f32 (log.f32 (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (log.f32 (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (.f32 (log.f32 (*.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) (log.f32 (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))))
(/.f32 (-.f32 (.f32 (log.f32 (fma.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (.f32 x (.f32 x x)))) (log.f32 (fma.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (.f32 (sqrt.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 (log.f32 (fma.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (.f32 x x))) (log.f32 (fma.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (.f32 x x))))) (+.f32 (log.f32 (fma.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (.f32 x (.f32 x x)))) (log.f32 (fma.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (.f32 x x)))))
(/.f32 (-.f32 (.f32 (log.f32 (.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) (log.f32 (.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) (.f32 (log.f32 (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (log.f32 (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) (+.f32 (log.f32 (*.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) (log.f32 (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))
(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))
(neg.f32 (/.f32 (fma.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (.f32 (sqrt.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 (fma.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (.f32 x x)))))
(neg.f32 (/.f32 (*.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (neg.f32 (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))
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(.f32 (+.f32 x (/.f32 #s(literal 1/2 binary32) x)) (.f32 (+.f32 x (/.f32 #s(literal -1/2 binary32) x)) (/.f32 #s(literal 1 binary32) (+.f32 x (/.f32 #s(literal -1/2 binary32) x)))))
(*.f32 (+.f32 x (/.f32 #s(literal 1/2 binary32) x)) (/.f32 (+.f32 x (/.f32 #s(literal -1/2 binary32) x)) (+.f32 x (/.f32 #s(literal -1/2 binary32) x))))
(*.f32 #s(literal 1 binary32) (+.f32 x (/.f32 #s(literal 1/2 binary32) x)))
(.f32 (fma.f32 x (.f32 x x) (/.f32 #s(literal 1/8 binary32) (.f32 x (.f32 x x)))) (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1/2 binary32) x) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x) (*.f32 x x))))
(.f32 (fma.f32 x (.f32 x x) (/.f32 #s(literal 1/8 binary32) (.f32 x (.f32 x x)))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) x) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x) (*.f32 x x)))))
(.f32 (fma.f32 x (.f32 x x) (/.f32 #s(literal 1/8 binary32) (.f32 x (.f32 x x)))) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1/2 binary32) x) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x) (*.f32 x x)))))
(.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) x) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x) (.f32 x x)) (.f32 (+.f32 x (/.f32 #s(literal 1/2 binary32) x)) (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1/2 binary32) x) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x) (.f32 x x)))))
(.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) x) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x) (.f32 x x)) (/.f32 (+.f32 x (/.f32 #s(literal 1/2 binary32) x)) (fma.f32 (/.f32 #s(literal 1/2 binary32) x) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x) (*.f32 x x))))
(.f32 (fma.f32 x x (/.f32 #s(literal -1/4 binary32) (.f32 x x))) (/.f32 #s(literal 1 binary32) (+.f32 x (/.f32 #s(literal -1/2 binary32) x))))
(.f32 (fma.f32 x x (/.f32 #s(literal -1/4 binary32) (.f32 x x))) (neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 x (/.f32 #s(literal -1/2 binary32) x)))))
(*.f32 #s(literal -1 binary32) (+.f32 x (/.f32 #s(literal 1/2 binary32) x)))
(.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1/2 binary32) x) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x) (.f32 x x))) (fma.f32 x (.f32 x x) (/.f32 #s(literal 1/8 binary32) (.f32 x (*.f32 x x)))))
(.f32 (/.f32 #s(literal 1 binary32) (+.f32 x (/.f32 #s(literal -1/2 binary32) x))) (fma.f32 x x (/.f32 #s(literal -1/4 binary32) (.f32 x x))))
(.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (*.f32 x x)) (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x)))
(.f32 (/.f32 (fma.f32 x x (/.f32 #s(literal -1/4 binary32) (.f32 x x))) (fma.f32 x (.f32 x x) (/.f32 #s(literal 1/8 binary32) (.f32 x (.f32 x x))))) (fma.f32 (/.f32 #s(literal 1/2 binary32) x) (+.f32 x (/.f32 #s(literal 1/2 binary32) x)) (.f32 x x)))
(.f32 (/.f32 (fma.f32 x x (/.f32 #s(literal -1/4 binary32) (.f32 x x))) (fma.f32 x x (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))) (+.f32 x (/.f32 #s(literal 1/2 binary32) x)))
(.f32 (/.f32 (fma.f32 x (.f32 x x) (/.f32 #s(literal 1/8 binary32) (.f32 x (.f32 x x)))) (fma.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) x) (.f32 x #s(literal 2 binary32))) (.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) x) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x))) (.f32 x (.f32 x (.f32 x (.f32 x (.f32 x x))))))) (fma.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) x) (.f32 x #s(literal 2 binary32))) (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) x) (.f32 x #s(literal 2 binary32))) (.f32 x x)) (.f32 x (.f32 x (*.f32 x x)))))
(.f32 (/.f32 (fma.f32 x (.f32 x x) (/.f32 #s(literal 1/8 binary32) (.f32 x (.f32 x x)))) (-.f32 (.f32 x (.f32 x (.f32 x x))) (.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) x) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x))))) (fma.f32 x x (*.f32 (/.f32 #s(literal -1/2 binary32) x) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x))))

simplify309.0ms (4%)

Memory

46.3MiB live, 634.3MiB allocated

Algorithm

1×	egg-herbie

Rules

8 474×	`lower-fma.f64`
8 474×	`lower-fma.f32`
3 764×	`lower-*.f64`
3 764×	`lower-*.f32`
3 552×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	277	1473
1	787	1407
2	2383	1386
3	6923	1380
0	8447	1283

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 114

Calls

Call 1

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

Outputs
1
#s(literal 1 binary32)
(+ 1 (* 1/2 (pow x 2)))
(fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(fma.f32 x (.f32 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)))))
(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))))
(fma.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)
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(fma.f32 x (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 x x)) (/.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)))) 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 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)))))
(neg.f32 (fma.f32 x (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 x x)) (/.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)))) 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)
(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 x (*.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) (+ (* -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 (.f32 x x) (+.f32 (/.f32 #s(literal -1/8 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))))) (/.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 x (.f32 x (fma.f32 x (.f32 x (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (fma.f32 #s(literal 1/720 binary32) (.f32 (.f32 x x) (+.f32 (/.f32 #s(literal 45 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 (/.f32 #s(literal 45 binary32) (.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (/.f32 #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 -1/8 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)))
(* -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)))
(+.f32 (log.f32 x) (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32)) (/.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 1/6 binary32) (/.f32 (.f32 (fabs.f32 x) (fma.f32 #s(literal 2 binary32) (.f32 x x) #s(literal -3 binary32))) (.f32 x (.f32 x x))) (+.f32 (log.f32 x) (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32)) (/.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)))
(neg.f32 (+.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 (fabs.f32 x) (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal -1/2 binary32)) x)) (neg.f32 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 (.f32 (fabs.f32 x) (fma.f32 #s(literal 2 binary32) (.f32 x x) #s(literal -3 binary32))) (/.f32 #s(literal -1/6 binary32) x) (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 (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 #s(literal 1/2 binary32) (*.f32 x x) (fabs.f32 x)))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))
(fma.f32 x (.f32 x (fma.f32 (.f32 x x) #s(literal -1/8 binary32) #s(literal 1/2 binary32))) (+.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))))))
(+.f32 (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)) (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 (/.f32 #s(literal -1/2 binary32) x) (fabs.f32 x)) (neg.f32 x)) x)
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))
(fma.f32 x (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/2 binary32) x) (fabs.f32 x)) (neg.f32 x)) (/.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) (*.f32 x 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)))))
(neg.f32 (fma.f32 (-.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x) (fabs.f32 x)) (/.f32 x x) x))
(copysign (log (+ x (+ (fabs x) (* 1/2 (/ 1 x))))) x)
(copysign.f32 (log.f32 (+.f32 x (+.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)))) x)
(copysign (log (+ x (+ (fabs x) (* 1/2 (/ 1 x))))) x)
(copysign.f32 (log.f32 (+.f32 x (+.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)))) x)
(copysign (log (+ x (+ (fabs x) (* 1/2 (/ 1 x))))) x)
(copysign.f32 (log.f32 (+.f32 x (+.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)))) x)
(copysign (log (+ x (+ (fabs x) (* 1/2 (/ 1 x))))) x)
(copysign.f32 (log.f32 (+.f32 x (+.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)))) x)
(copysign (log (+ x (+ (fabs x) (* 1/2 (/ 1 x))))) x)
(copysign.f32 (log.f32 (+.f32 x (+.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)))) x)
(copysign (log (+ x (+ (fabs x) (* 1/2 (/ 1 x))))) x)
(copysign.f32 (log.f32 (+.f32 x (+.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)))) x)
(copysign (log (+ x (+ (fabs x) (* 1/2 (/ 1 x))))) x)
(copysign.f32 (log.f32 (+.f32 x (+.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)))) x)
(copysign (log (+ x (+ (fabs x) (* 1/2 (/ 1 x))))) x)
(copysign.f32 (log.f32 (+.f32 x (+.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)))) x)
(copysign (log (- (+ (fabs x) (* 1/2 (/ 1 x))) (* -1 x))) x)
(copysign.f32 (log.f32 (+.f32 x (+.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)))) x)
(copysign (log (- (+ (fabs x) (* 1/2 (/ 1 x))) (* -1 x))) x)
(copysign.f32 (log.f32 (+.f32 x (+.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)))) x)
(copysign (log (- (+ (fabs x) (* 1/2 (/ 1 x))) (* -1 x))) x)
(copysign.f32 (log.f32 (+.f32 x (+.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)))) x)
(copysign (log (- (+ (fabs x) (* 1/2 (/ 1 x))) (* -1 x))) x)
(copysign.f32 (log.f32 (+.f32 x (+.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)))) x)
(+ (log 1/2) (* -1 (log x)))
(-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 x))
(+ (log 1/2) (+ (* -1 (log x)) (* 2 (* x (fabs x)))))
(fma.f32 (fabs.f32 x) (*.f32 x #s(literal 2 binary32)) (-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 x)))
(+ (log 1/2) (+ (* -1 (log x)) (* x (+ (* 1/2 (* x (+ 4 (* -4 (pow (fabs x) 2))))) (* 2 (fabs x))))))
(fma.f32 x (fma.f32 x (fma.f32 (.f32 x x) #s(literal -2 binary32) #s(literal 2 binary32)) (.f32 #s(literal 2 binary32) (fabs.f32 x))) (-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 x)))
(+ (log 1/2) (+ (* -1 (log x)) (* x (+ (* 2 (fabs x)) (* x (+ (* 1/6 (* x (+ (* -24 (fabs x)) (* 16 (pow (fabs x) 3))))) (* 1/2 (+ 4 (* -4 (pow (fabs x) 2))))))))))
(fma.f32 x (fma.f32 x (fma.f32 (.f32 (fabs.f32 x) (fma.f32 (.f32 x x) #s(literal 16 binary32) #s(literal -24 binary32))) (.f32 x #s(literal 1/6 binary32)) (fma.f32 (.f32 x x) #s(literal -2 binary32) #s(literal 2 binary32))) (*.f32 #s(literal 2 binary32) (fabs.f32 x))) (-.f32 (log.f32 #s(literal 1/2 binary32)) (log.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)))
(+.f32 (log.f32 x) (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32)) (/.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 1/6 binary32) (/.f32 (.f32 (fabs.f32 x) (fma.f32 #s(literal 2 binary32) (.f32 x x) #s(literal -3 binary32))) (.f32 x (.f32 x x))) (+.f32 (log.f32 x) (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32)) (/.f32 (fabs.f32 x) 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))) (/ (fabs x) x)))
(-.f32 (/.f32 (fabs.f32 x) x) (-.f32 (neg.f32 (log.f32 (neg.f32 x))) (log.f32 #s(literal -1 binary32))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x))))
(-.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (neg.f32 (log.f32 (neg.f32 x))) (/.f32 (-.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal -1/2 binary32)) x) (fabs.f32 x)) x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1/6 (/ (+ (* -2 (pow (fabs x) 3)) (* 3 (fabs x))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x))))
(+.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (neg.f32 (log.f32 (neg.f32 x)))) (/.f32 (+.f32 (fabs.f32 x) (/.f32 (fma.f32 (.f32 (fabs.f32 x) (fma.f32 (.f32 x x) #s(literal -2 binary32) #s(literal 3 binary32))) (/.f32 #s(literal -1/6 binary32) x) (fma.f32 x (*.f32 x #s(literal -1/2 binary32)) #s(literal 1/2 binary32))) x)) x))
(/ 1/2 x)
(/.f32 #s(literal 1/2 binary32) x)
(/ (+ 1/2 (* x (fabs x))) x)
(/.f32 (fma.f32 x (fabs.f32 x) #s(literal 1/2 binary32)) x)
(/ (+ 1/2 (* x (+ x (fabs x)))) x)
(/.f32 (fma.f32 x (+.f32 x (fabs.f32 x)) #s(literal 1/2 binary32)) x)
(/ (+ 1/2 (* x (+ x (fabs x)))) x)
(/.f32 (fma.f32 x (+.f32 x (fabs.f32 x)) #s(literal 1/2 binary32)) 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 (/.f32 #s(literal -1/2 binary32) x) (fabs.f32 x)) (neg.f32 x)) x)
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))
(fma.f32 x (/.f32 (-.f32 (/.f32 #s(literal -1/2 binary32) x) (fabs.f32 x)) (neg.f32 x)) x)
x
(* -1 (* x (- (* -1 (/ (fabs x) x)) 1)))
(fma.f32 x (/.f32 (fabs.f32 x) x) x)
(* -1 (* x (- (* -1 (/ (+ (fabs x) (* 1/2 (/ 1 x))) x)) 1)))
(fma.f32 (neg.f32 x) (/.f32 (-.f32 (/.f32 #s(literal -1/2 binary32) x) (fabs.f32 x)) x) x)
(* -1 (* x (- (* -1 (/ (+ (fabs x) (* 1/2 (/ 1 x))) x)) 1)))
(fma.f32 (neg.f32 x) (/.f32 (-.f32 (/.f32 #s(literal -1/2 binary32) x) (fabs.f32 x)) 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)
(pow x 2)
(*.f32 x x)
(* (pow x 2) (+ 1 (* -1/2 (pow x 2))))
(.f32 (.f32 x x) (fma.f32 x (*.f32 x #s(literal -1/2 binary32)) #s(literal 1 binary32)))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1/2))))
(.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/3 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32)))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -1/4 (pow x 2)))) 1/2))))
(.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 (*.f32 x x) #s(literal -1/4 binary32) #s(literal 1/3 binary32)) #s(literal -1/2 binary32)) #s(literal 1 binary32)))
(* -2 (log (/ 1 x)))
(*.f32 #s(literal 2 binary32) (log.f32 x))
(+ (* -2 (log (/ 1 x))) (/ 1 (pow x 2)))
(fma.f32 #s(literal 2 binary32) (log.f32 x) (/.f32 #s(literal 1 binary32) (*.f32 x x)))
(- (+ (* -2 (log (/ 1 x))) (/ 1 (pow x 2))) (/ 1/2 (pow x 4)))
(+.f32 (fma.f32 #s(literal 2 binary32) (log.f32 x) (/.f32 #s(literal 1 binary32) (.f32 x x))) (/.f32 #s(literal -1/2 binary32) (.f32 (.f32 x x) (.f32 x x))))
(- (+ (* -2 (log (/ 1 x))) (+ (/ 1 (pow x 2)) (* 1/3 (/ 1 (pow x 6))))) (/ 1/2 (pow x 4)))
(+.f32 (-.f32 (/.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1 binary32) (.f32 x x))) (fma.f32 #s(literal 2 binary32) (log.f32 x) (/.f32 #s(literal -1/2 binary32) (.f32 (.f32 x x) (.f32 x x)))))
(* -2 (log (/ -1 x)))
(*.f32 (neg.f32 (log.f32 (neg.f32 x))) #s(literal -2 binary32))
(+ (* -2 (log (/ -1 x))) (/ 1 (pow x 2)))
(fma.f32 (neg.f32 (log.f32 (neg.f32 x))) #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 x x)))
(- (+ (* -2 (log (/ -1 x))) (/ 1 (pow x 2))) (/ 1/2 (pow x 4)))
(+.f32 (/.f32 #s(literal 1 binary32) (.f32 x x)) (fma.f32 (neg.f32 (log.f32 (neg.f32 x))) #s(literal -2 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 (.f32 x x) (.f32 x x)))))
(- (+ (* -2 (log (/ -1 x))) (+ (/ 1 (pow x 2)) (* 1/3 (/ 1 (pow x 6))))) (/ 1/2 (pow x 4)))
(+.f32 (-.f32 (/.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1 binary32) (.f32 x x))) (fma.f32 (neg.f32 (log.f32 (neg.f32 x))) #s(literal -2 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 (.f32 x x) (.f32 x x)))))
(/ 1/2 x)
(/.f32 #s(literal 1/2 binary32) x)
(/ (+ 1/2 (pow x 2)) x)
(/.f32 (fma.f32 x x #s(literal 1/2 binary32)) x)
(/ (+ 1/2 (pow x 2)) x)
(/.f32 (fma.f32 x x #s(literal 1/2 binary32)) x)
(/ (+ 1/2 (pow x 2)) x)
(/.f32 (fma.f32 x x #s(literal 1/2 binary32)) x)
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)))))
(fma.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) x)
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(fma.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) x)
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)))))
(fma.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) x)
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(fma.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) x)

eval57.0ms (0.7%)

Memory: 1.7MiB live, 159.4MiB allocated
Compiler: Compiled 14 918 to 2 052 computations (86.2% saved)

prune137.0ms (1.8%)

Memory

-42.6MiB live, 171.6MiB allocated

Pruning

11 alts after pruning (1 fresh and 10 done)

	Pruned	Kept	Total
New	492	1	493
Fresh	0	0	0
Picked	1	1	2
Done	0	9	9
Total	493	11	504

Accuracy

99.4%

Counts

504 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	56.9%	(copysign.f32 (log1p.f32 (fabs.f32 (neg.f32 x))) x)
✓	56.9%	(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
✓	25.8%	(copysign.f32 (log.f32 (/.f32 #s(literal -1/2 binary32) x)) x)
✓	28.0%	(copysign.f32 (log.f32 (-.f32 (fabs.f32 x) x)) x)
✓	25.8%	(copysign.f32 (log.f32 (+.f32 (-.f32 (fabs.f32 x) x) (/.f32 #s(literal -1/2 binary32) x))) x)
✓	27.7%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (+.f32 x (/.f32 #s(literal 1/2 binary32) x)))) x)
✓	37.8%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
	14.4%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (exp.f32 (.f32 #s(literal 1/2 binary32) (.f32 x x))))) x)
✓	28.9%	(copysign.f32 (log.f32 (+.f32 x (fabs.f32 x))) x)
✓	13.4%	(copysign.f32 (log.f32 (neg.f32 x)) x)
✓	12.8%	(copysign.f32 (log.f32 x) x)

Compiler

Compiled 1 027 to 330 computations (67.9% saved)

regimes29.0ms (0.4%)

Memory

4.1MiB live, 41.4MiB allocated

Counts

43 → 3

Calls

Call 1

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

Outputs

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

(copysign.f32 (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:

17.0ms	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
98.2%	3	`x`
98.2%	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)

regimes8.0ms (0.1%)

Memory

16.5MiB live, 16.5MiB allocated

Counts

12 → 3

Calls

Call 1

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

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
98.2%	3	`x`
98.2%	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)

regimes44.0ms (0.6%)

Memory

-19.2MiB live, 18.3MiB allocated

Counts

11 → 3

Calls

Call 1

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

40.0ms	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
97.8%	3	`x`
97.8%	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)

regimes6.0ms (0.1%)

Memory

13.0MiB live, 13.0MiB allocated

Counts

7 → 3

Calls

Call 1

Inputs
(copysign.f32 (log.f32 x) x)
(copysign.f32 (log.f32 (neg.f32 x)) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign.f32 (log1p.f32 (fabs.f32 (neg.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) 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:

3.0ms	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
97.5%	3	`x`
97.5%	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)

regimes6.0ms (0.1%)

Memory

12.4MiB live, 12.4MiB allocated

Counts

6 → 3

Calls

Call 1

Inputs
(copysign.f32 (log.f32 x) x)
(copysign.f32 (log.f32 (neg.f32 x)) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign.f32 (log1p.f32 (fabs.f32 (neg.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)

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

Calls

2 calls:

3.0ms	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
85.5%	3	`x`
85.5%	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)

regimes25.0ms (0.3%)

Memory

-27.7MiB live, 11.0MiB allocated

Counts

5 → 3

Calls

Call 1

Inputs
(copysign.f32 (log.f32 x) x)
(copysign.f32 (log.f32 (neg.f32 x)) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign.f32 (log1p.f32 (fabs.f32 (neg.f32 x))) x)
(copysign.f32 (log.f32 (+.f32 x (fabs.f32 x))) x)

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

Calls

2 calls:

23.0ms	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
85.5%	3	`x`
85.5%	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)

regimes4.0ms (0.1%)

Memory

10.1MiB live, 10.1MiB allocated

Counts

4 → 3

Calls

Call 1

Inputs
(copysign.f32 (log.f32 x) x)
(copysign.f32 (log.f32 (neg.f32 x)) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign.f32 (log1p.f32 (fabs.f32 (neg.f32 x))) x)

Outputs
(copysign.f32 (log.f32 (neg.f32 x)) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign.f32 (log.f32 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
72.3%	3	`x`
72.3%	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)

regimes3.0ms (0%)

Memory

8.9MiB live, 8.9MiB allocated

Counts

2 → 2

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	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
26.2%	2	`x`
24.5%	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)

regimes3.0ms (0%)

Memory

7.4MiB live, 7.4MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(copysign.f32 (log.f32 x) x)

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

bsearch1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.02417084015905857	3.726618528366089
0.0ms	-2.5934393405914307	-0.2742801010608673

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.02417084015905857	3.726618528366089
0.0ms	-2.5934393405914307	-0.2742801010608673

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.02417084015905857	3.726618528366089
0.0ms	-2.5934393405914307	-0.2742801010608673

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.02417084015905857	3.726618528366089
0.0ms	-2.5934393405914307	-0.2742801010608673

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.02417084015905857	3.726618528366089
0.0ms	-2.5934393405914307	-0.2742801010608673

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.02417084015905857	3.726618528366089
0.0ms	-2.5934393405914307	-0.2742801010608673

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.02417084015905857	3.726618528366089
0.0ms	-2.5934393405914307	-0.2742801010608673

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	-7.12412992640569e-39	1.3656578391831797e-37

Compiler

Compiled 16 to 11 computations (31.3% saved)

simplify12.0ms (0.2%)

Memory

-29.0MiB live, 16.5MiB allocated

Algorithm

1×	egg-herbie

Rules

18×	`+-commutative_binary32`
4×	`sub-neg_binary32`
2×	`*-commutative_binary32`
2×	`neg-sub0_binary32`
2×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	363
1	69	363
2	72	363
3	73	363

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 -2 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 5368709/134217728 binary32)) (copysign.f32 (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 -2 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 5368709/134217728 binary32)) (copysign.f32 (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 -2 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 5368709/134217728 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 -2 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 5368709/134217728 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 -2 binary32)) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) (if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) x) #s(literal 5368709/134217728 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 -2 binary32)) (copysign.f32 (log.f32 (neg.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 5368709/134217728 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 -2 binary32)) (copysign.f32 (log.f32 (neg.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 5368709/134217728 binary32)) (copysign.f32 (log1p.f32 (fabs.f32 x)) x) (copysign.f32 (log.f32 x) x)))
(if (<=.f32 x #s(literal -3568119/713623846352979940529142984724747568191373312 binary32)) (copysign.f32 (log.f32 (neg.f32 x)) x) (copysign.f32 (log.f32 x) x))
(copysign.f32 (log.f32 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 -2 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 5368709/134217728 binary32)) (copysign.f32 (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 -2 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 5368709/134217728 binary32)) (copysign.f32 (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 -2 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 5368709/134217728 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 -2 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 5368709/134217728 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 -2 binary32)) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) (if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) x) #s(literal 5368709/134217728 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 -2 binary32)) (copysign.f32 (log.f32 (neg.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 5368709/134217728 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 -2 binary32)) (copysign.f32 (log.f32 (neg.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 5368709/134217728 binary32)) (copysign.f32 (log1p.f32 (fabs.f32 x)) x) (copysign.f32 (log.f32 x) x)))
(if (<=.f32 x #s(literal -3568119/713623846352979940529142984724747568191373312 binary32)) (copysign.f32 (log.f32 (neg.f32 x)) x) (copysign.f32 (log.f32 x) x))
(copysign.f32 (log.f32 x) x)

soundness1.0s (13%)

Memory

12.6MiB live, 569.7MiB allocated

Rules

24 610×	`lower-fma.f64`
24 610×	`lower-fma.f32`
17 506×	`lower-fma.f64`
17 506×	`lower-fma.f32`
6 336×	`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
0	384	2501
1	1140	2364
2	3543	2240
0	8359	2046

Stop Event

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

Compiler

Compiled 503 to 147 computations (70.8% saved)

preprocess115.0ms (1.5%)

Memory: 18.2MiB live, 173.0MiB allocated
Compiler: Compiled 796 to 148 computations (81.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	18	80
0	36	77
1	46	77
2	55	77
3	66	77
4	97	77
5	128	77
6	152	77
7	182	77
8	235	77
9	281	77
10	300	77
11	309	77
12	310	77
0	310	77

Iter	Nodes	Cost
0	18	80
0	36	77
1	46	77
2	55	77
3	66	77
4	97	77
5	128	77
6	152	77
7	182	77
8	235	77
9	281	77
10	300	77
11	309	77
12	310	77
0	310	77

analyze0.0ms (0%)

sample516.0ms (6.6%)

preprocess13.0ms (0.2%)

explain242.0ms (3.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify6.0ms (0.1%)

localize47.0ms (0.6%)

series5.0ms (0.1%)

rewrite280.0ms (3.6%)

simplify569.0ms (7.3%)

eval80.0ms (1%)

prune81.0ms (1%)

simplify720.0ms (9.3%)

localize204.0ms (2.6%)

series430.0ms (5.5%)

rewrite298.0ms (3.8%)

simplify500.0ms (6.4%)

eval105.0ms (1.4%)

prune114.0ms (1.5%)

simplify17.0ms (0.2%)

localize118.0ms (1.5%)

series149.0ms (1.9%)

rewrite152.0ms (2%)

simplify540.0ms (7%)

eval23.0ms (0.3%)

prune22.0ms (0.3%)

simplify39.0ms (0.5%)

localize71.0ms (0.9%)

series4.0ms (0.1%)

rewrite643.0ms (8.3%)

simplify309.0ms (4%)

eval57.0ms (0.7%)

prune137.0ms (1.8%)

regimes29.0ms (0.4%)

regimes8.0ms (0.1%)

regimes44.0ms (0.6%)

regimes6.0ms (0.1%)

regimes6.0ms (0.1%)

regimes25.0ms (0.3%)

regimes4.0ms (0.1%)

regimes3.0ms (0%)

regimes3.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify12.0ms (0.2%)

soundness1.0s (13%)

preprocess115.0ms (1.5%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	18	80
0	36	77
1	46	77
2	55	77
3	66	77
4	97	77
5	128	77
6	152	77
7	182	77
8	235	77
9	281	77
10	300	77
11	309	77
12	310	77
0	310	77