Metrics for Rust f32::asinh

analyze0.0ms (0%)

Memory

0.7MiB live, 0.7MiB 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)

sample463.0ms (4.1%)

Memory

32.3MiB live, 737.1MiB allocated

Samples

334.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 185.0ms

ival-asinh: 178.0ms (96% of total)

ival-true: 5.0ms (2.7% of total)

ival-assert: 3.0ms (1.6% of total)

Bogosity

preprocess17.0ms (0.1%)

Memory

-6.8MiB live, 29.7MiB 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)

explain165.0ms (1.5%)

Memory

7.5MiB live, 317.5MiB 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

35.0ms	188×	1	valid
27.0ms	324×	0	valid

Compiler

Compiled 128 to 40 computations (68.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

ival-hypot: 13.0ms (27.1% of total)

ival-log: 12.0ms (25.1% of total)

ival-add: 6.0ms (12.5% of total)

ival-copysign: 5.0ms (10.4% of total)

ival-mult: 5.0ms (10.4% of total)

adjust: 4.0ms (8.4% of total)

ival-fabs: 3.0ms (6.3% 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

1.8MiB live, 1.8MiB 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)

simplify4.0ms (0%)

Memory

9.2MiB live, 9.2MiB 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)

localize180.0ms (1.6%)

Memory

-67.6MiB live, 86.2MiB 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
16.0ms	162×	0	valid

Compiler

Compiled 51 to 11 computations (78.4% saved)

Precisions

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

ival-hypot: 9.0ms (31.9% of total)

ival-log: 6.0ms (21.3% of total)

adjust: 5.0ms (17.7% of total)

ival-copysign: 3.0ms (10.6% of total)

ival-add: 3.0ms (10.6% of total)

ival-mult: 2.0ms (7.1% of total)

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

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

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

exact: 0.0ms (0% of total)

series5.0ms (0%)

Memory

6.2MiB live, 6.2MiB 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))))
0.0ms	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)

simplify587.0ms (5.2%)

Memory

13.6MiB live, 797.9MiB 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)

rewrite406.0ms (3.6%)

Memory

29.6MiB live, 506.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

6 → 279

Calls

Call 1

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

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

eval52.0ms (0.5%)

Memory: -9.1MiB live, 103.6MiB allocated
Compiler: Compiled 10 321 to 1 600 computations (84.5% saved)

prune58.0ms (0.5%)

Memory

23.1MiB live, 174.1MiB allocated

Pruning

16 alts after pruning (16 fresh and 0 done)

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

Accuracy

99.8%

Counts

350 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	73.6%	(copysign.f32 (+.f32 (log1p.f32 (fma.f32 x x (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (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)))) (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)))))) x)
▶	37.8%	(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)
	16.2%	(copysign.f32 (neg.f32 (log.f32 (/.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (fma.f32 x x (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))))) x)
▶	37.8%	(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
	36.3%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) x)
	27.2%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x)
	27.7%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (+.f32 x (/.f32 #s(literal 1/2 binary32) x))))) x)
▶	30.8%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary32)))) x)
	28.0%	(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x))) x)
	28.9%	(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 x (fabs.f32 x)))) x)
	20.0%	(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))))) x)
	57.2%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (log1p.f32 (fabs.f32 x)))) x)
	56.3%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (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)
	14.4%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (neg.f32 (/.f32 (fabs.f32 x) x)) (neg.f32 (log.f32 (neg.f32 x))))) x)
	70.2%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x)
▶	12.8%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)

Compiler

Compiled 518 to 282 computations (45.6% saved)

simplify112.0ms (1%)

Memory

6.8MiB live, 128.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(copysign.f32 (neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)))) x)
✓	cost-diff	128	(neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32))))
✓	cost-diff	288	(log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)))
✓	cost-diff	352	(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32))
✓	cost-diff	0	(sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))
✓	cost-diff	0	(+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))
✓	cost-diff	0	(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))
✓	cost-diff	0	(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
✓	cost-diff	0	(fabs.f32 x)
✓	cost-diff	0	(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary32)))
✓	cost-diff	0	(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary32))))
✓	cost-diff	0	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary32)))) x)
✓	cost-diff	0	(log.f32 x)
✓	cost-diff	0	#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x))
✓	cost-diff	0	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)
✓	cost-diff	0	(+.f32 (log1p.f32 (fma.f32 x x (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (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)))) (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))))))
✓	cost-diff	0	(copysign.f32 (+.f32 (log1p.f32 (fma.f32 x x (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (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)))) (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)))))) x)
✓	cost-diff	32	(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)))
✓	cost-diff	32	(fma.f32 x x (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))

Rules

1 696×	`lower-fma.f64`
1 690×	`lower-fma.f32`
608×	`lower-*.f64`
606×	`lower-*.f32`
392×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	418
0	63	404
1	86	403
2	116	403
3	160	403
4	260	399
5	399	399
6	706	399
7	1102	399
8	1511	399
9	1788	399
10	1911	399
11	1987	399
12	2025	399
13	2028	399
14	2029	399
15	2029	399
0	2029	394

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize329.0ms (2.9%)

Memory

-24.3MiB live, 305.9MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
✓	accuracy	99.9%	(/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
✓	accuracy	91.0%	(sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))
✓	accuracy	81.7%	(log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)))
✓	accuracy	100.0%	(fabs.f32 x)
✓	accuracy	100.0%	(+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))
✓	accuracy	91.0%	(sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))
✓	accuracy	81.6%	(log.f32 (+.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) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary32)))
✓	accuracy	81.6%	(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary32))))
✓	accuracy	78.0%	#s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary32))
✓	accuracy	100.0%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)
✓	accuracy	100.0%	(log.f32 x)
✓	accuracy	64.8%	#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x))
✓	accuracy	90.9%	(/.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))))
✓	accuracy	90.1%	(log1p.f32 (fma.f32 x x (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))
✓	accuracy	81.7%	(log.f32 (/.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)))))
✓	accuracy	79.5%	(-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))

Samples

62.0ms	88×	1	valid
40.0ms	136×	0	invalid
7.0ms	32×	0	valid

Compiler

Compiled 463 to 29 computations (93.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 88.0ms

ival-div: 24.0ms (27.2% of total)

ival-log: 20.0ms (22.7% of total)

ival-copysign: 9.0ms (10.2% of total)

ival-add: 9.0ms (10.2% of total)

ival-hypot: 8.0ms (9.1% of total)

adjust: 5.0ms (5.7% of total)

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

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

ival-log1p: 3.0ms (3.4% of total)

ival-neg: 1.0ms (1.1% of total)

ival-fabs: 1.0ms (1.1% of total)

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

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

exact: 0.0ms (0% of total)

series219.0ms (1.9%)

Memory

0.2MiB live, 188.2MiB allocated

Counts

26 → 312

Calls

Call 1

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

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

Calls

78 calls:

Time	Variable		Point	Expression
89.0ms	x	@	0	(+ (log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))))) (log (/ (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1)))))
71.0ms	x	@	0	(log x)
21.0ms	x	@	-inf	(log x)
10.0ms	x	@	inf	(log x)
2.0ms	x	@	inf	(+ (log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))))) (log (/ (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1)))))

simplify614.0ms (5.4%)

Memory

2.2MiB live, 817.6MiB allocated

Algorithm

1×	egg-herbie

Rules

12 260×	`lower-fma.f64`
12 260×	`lower-fma.f32`
6 746×	`lower-*.f64`
6 746×	`lower-*.f32`
6 452×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	810	9430
1	2617	8840
0	8884	8080

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 306

Calls

Call 1

Inputs
(* (fabs x) (- (fabs x) 1))
(+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (* -1/2 (fabs x)))))
(+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (+ (* -1/2 (fabs x)) (* 1/8 (* (pow x 2) (fabs x)))))))
(+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (+ (* -1/2 (fabs x)) (* (pow x 2) (+ (* -1/16 (* (pow x 2) (fabs x))) (* 1/8 (fabs x))))))))
(pow x 2)
(* (pow x 2) (+ 1 (* -1 (/ (fabs x) x))))
(* (pow x 2) (+ 1 (+ (* -1 (/ (fabs x) x)) (/ (pow (fabs x) 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* -1 (/ (fabs x) x)) (+ (* -1/2 (/ (fabs x) (pow x 3))) (/ (pow (fabs x) 2) (pow x 2))))))
(pow x 2)
(* (pow x 2) (+ 1 (/ (fabs x) x)))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (pow (fabs x) 2) x))) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* 1/2 (/ (fabs x) x)) (pow (fabs x) 2)) x))) x))))
(+ 1 (* (fabs x) (- (fabs x) 1)))
(+ 1 (+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (* -1/2 (fabs x))))))
(+ 1 (+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (+ (* -1/2 (fabs x)) (* 1/8 (* (pow x 2) (fabs x))))))))
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(pow x 2)
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(* (pow x 2) (+ 1 (+ (* -1 (/ (fabs x) x)) (+ (/ 1 (pow x 2)) (/ (pow (fabs x) 2) (pow x 2))))))
(* (pow x 2) (+ 1 (+ (* -1 (/ (fabs x) x)) (+ (* -1/2 (/ (fabs x) (pow x 3))) (+ (/ 1 (pow x 2)) (/ (pow (fabs x) 2) (pow x 2)))))))
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(+ (log (/ (+ 1 (fabs x)) (+ 1 (* (fabs x) (- (fabs x) 1))))) (* (pow x 2) (+ (* 1/24 (* (pow x 2) (+ (* -24 (/ (* (+ 1 (* (fabs x) (- (fabs x) 1))) (+ (* 1/8 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* 1/8 (/ (* (fabs x) (+ 1 (fabs x))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (/ (* (+ 1 (* -1/2 (fabs x))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (* (fabs x) (- (fabs x) 1))))))) (+ 1 (fabs x)))) (* -12 (/ (* (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2) (pow (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) 2)) (pow (+ 1 (fabs x)) 2)))))) (/ (* (+ 1 (* (fabs x) (- (fabs x) 1))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (fabs x))))))
(+ (log (/ (+ 1 (fabs x)) (+ 1 (* (fabs x) (- (fabs x) 1))))) (* (pow x 2) (+ (* (pow x 2) (+ (* 1/720 (* (pow x 2) (+ (* 240 (/ (* (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 3) (pow (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) 3)) (pow (+ 1 (fabs x)) 3))) (+ (* 720 (/ (* (+ 1 (* (fabs x) (- (fabs x) 1))) (- (* 1/16 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* -1 (/ (* (+ 1 (* -1/2 (fabs x))) (+ (* 1/8 (/ (* (fabs x) (+ 1 (fabs x))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (+ (* 1/8 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (* -1/2 (fabs x))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (* (fabs x) (- (fabs x) 1))))))) (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* -1/16 (/ (* (fabs x) (+ 1 (fabs x))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (* 1/8 (/ (* (fabs x) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (* (fabs x) (- (fabs x) 1))))))))) (+ 1 (fabs x)))) (* 720 (/ (* (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2) (* (+ (* 1/8 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* 1/8 (/ (* (fabs x) (+ 1 (fabs x))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (/ (* (+ 1 (* -1/2 (fabs x))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (* (fabs x) (- (fabs x) 1)))))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))))) (pow (+ 1 (fabs x)) 2))))))) (* 1/24 (+ (* -24 (/ (* (+ 1 (* (fabs x) (- (fabs x) 1))) (+ (* 1/8 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* 1/8 (/ (* (fabs x) (+ 1 (fabs x))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (/ (* (+ 1 (* -1/2 (fabs x))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (* (fabs x) (- (fabs x) 1))))))) (+ 1 (fabs x)))) (* -12 (/ (* (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2) (pow (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) 2)) (pow (+ 1 (fabs x)) 2))))))) (/ (* (+ 1 (* (fabs x) (- (fabs x) 1))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (fabs x))))))
(log (/ 1 x))
(- (+ (log (/ 1 x)) (/ (fabs x) x)) (* -1 (/ (fabs x) x)))
(- (+ (log (/ 1 x)) (+ (* 1/2 (/ (+ (* -2 (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2)))) (* -1 (pow (- (fabs x) (* -1 (fabs x))) 2))) (pow x 2))) (/ (fabs x) x))) (* -1 (/ (fabs x) x)))
(- (+ (log (/ 1 x)) (+ (* 1/6 (/ (+ (* -6 (+ (* -1/2 (fabs x)) (+ (* (fabs x) (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2)))) (* (+ 1 (pow (fabs x) 2)) (- (fabs x) (* -1 (fabs x))))))) (+ (* 2 (pow (- (fabs x) (* -1 (fabs x))) 3)) (* 6 (* (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2))) (- (fabs x) (* -1 (fabs x))))))) (pow x 3))) (+ (* 1/2 (/ (+ (* -2 (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2)))) (* -1 (pow (- (fabs x) (* -1 (fabs x))) 2))) (pow x 2))) (/ (fabs x) x)))) (* -1 (/ (fabs x) x)))
(log (/ -1 x))
(+ (log (/ -1 x)) (* -1 (/ (- (fabs x) (* -1 (fabs x))) x)))
(+ (log (/ -1 x)) (* -1 (/ (- (+ (fabs x) (* -1/2 (/ (+ (* -2 (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2)))) (* -1 (pow (- (fabs x) (* -1 (fabs x))) 2))) x))) (* -1 (fabs x))) x)))
(+ (log (/ -1 x)) (* -1 (/ (- (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (+ (* -1/2 (fabs x)) (+ (* (fabs x) (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2)))) (* (+ 1 (pow (fabs x) 2)) (- (fabs x) (* -1 (fabs x))))))) (+ (* 2 (pow (- (fabs x) (* -1 (fabs x))) 3)) (* 6 (* (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2))) (- (fabs x) (* -1 (fabs x))))))) x)) (* 1/2 (+ (* -2 (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2)))) (* -1 (pow (- (fabs x) (* -1 (fabs x))) 2))))) x))) (* -1 (fabs x))) x)))
(log (+ 1 (* (fabs x) (- (fabs x) 1))))
(+ (log (+ 1 (* (fabs x) (- (fabs x) 1)))) (/ (* (pow x 2) (+ 1 (* -1/2 (fabs x)))) (+ 1 (* (fabs x) (- (fabs x) 1)))))
(+ (log (+ 1 (* (fabs x) (- (fabs x) 1)))) (* (pow x 2) (+ (* -1/2 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* 1/24 (* (pow x 2) (+ (* -12 (/ (pow (+ 1 (* -1/2 (fabs x))) 2) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (* 3 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1)))))))) (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))))))
(+ (log (+ 1 (* (fabs x) (- (fabs x) 1)))) (* (pow x 2) (+ (* -1/2 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* (pow x 2) (+ (* 1/720 (* (pow x 2) (+ (* -90 (/ (* (fabs x) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (+ (* -45 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))) (* 240 (/ (pow (+ 1 (* -1/2 (fabs x))) 3) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 3))))))) (* 1/24 (+ (* -12 (/ (pow (+ 1 (* -1/2 (fabs x))) 2) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (* 3 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))))))) (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))))))
(* -2 (log (/ 1 x)))
(+ (* -2 (log (/ 1 x))) (* -1 (/ (fabs x) x)))
(+ (* -2 (log (/ 1 x))) (+ (* -1 (/ (fabs x) x)) (* 1/2 (/ (+ (* -1 (pow (fabs x) 2)) (* 2 (+ 1 (pow (fabs x) 2)))) (pow x 2)))))
(+ (* -2 (log (/ 1 x))) (+ (* -1 (/ (fabs x) x)) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (+ (* -2 (pow (fabs x) 3)) (* 6 (* (fabs x) (+ 1 (pow (fabs x) 2)))))) (pow x 3))) (* 1/2 (/ (+ (* -1 (pow (fabs x) 2)) (* 2 (+ 1 (pow (fabs x) 2)))) (pow x 2))))))
(* -2 (log (/ -1 x)))
(+ (* -2 (log (/ -1 x))) (/ (fabs x) x))
(+ (* -2 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* -1/2 (/ (+ (* -1 (pow (fabs x) 2)) (* 2 (+ 1 (pow (fabs x) 2)))) x))) x)))
(+ (* -2 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (+ (* -2 (pow (fabs x) 3)) (* 6 (* (fabs x) (+ 1 (pow (fabs x) 2)))))) x)) (* 1/2 (+ (* -1 (pow (fabs x) 2)) (* 2 (+ 1 (pow (fabs x) 2)))))) x))) x)))
(/ (+ 1 (fabs x)) (+ 1 (* (fabs x) (- (fabs x) 1))))
(+ (* (pow x 2) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1)))) (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))))
(+ (* (pow x 2) (- (+ (* -1 (* (pow x 2) (+ (* 1/8 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* 1/8 (/ (* (fabs x) (+ 1 (fabs x))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (/ (* (+ 1 (* -1/2 (fabs x))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (* (fabs x) (- (fabs x) 1)))))))) (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1)))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1)))) (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))))
(+ (* (pow x 2) (- (+ (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (* (pow x 2) (- (* (pow x 2) (- (* 1/16 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* -1 (/ (* (+ 1 (* -1/2 (fabs x))) (+ (* 1/8 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* 1/8 (/ (* (fabs x) (+ 1 (fabs x))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (/ (* (+ 1 (* -1/2 (fabs x))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (* (fabs x) (- (fabs x) 1))))))) (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* -1/16 (/ (* (fabs x) (+ 1 (fabs x))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (* 1/8 (/ (* (fabs x) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (* (fabs x) (- (fabs x) 1))))))))) (+ (* 1/8 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* 1/8 (/ (* (fabs x) (+ 1 (fabs x))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (/ (* (+ 1 (* -1/2 (fabs x))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (* (fabs x) (- (fabs x) 1))))))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1)))) (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))))
(/ 1 x)
(/ (- (+ 1 (/ (fabs x) x)) (* -1 (/ (fabs x) x))) x)
(/ (- (+ 1 (+ (* -1 (/ (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))) (* -1 (/ (fabs x) x))) x)
(/ (- (+ 1 (+ (* -1 (/ (+ (* -1/2 (fabs x)) (+ (* (fabs x) (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2)))) (* (+ 1 (pow (fabs x) 2)) (- (fabs x) (* -1 (fabs x)))))) (pow x 3))) (/ (fabs x) x))) (+ (* -1 (/ (fabs x) x)) (+ (* -1 (/ (* (fabs x) (- (fabs x) (* -1 (fabs x)))) (pow x 2))) (+ (/ 1/2 (pow x 2)) (/ (pow (fabs x) 2) (pow x 2)))))) x)
(/ -1 x)
(* -1 (/ (+ 1 (* -1 (/ (- (fabs x) (* -1 (fabs x))) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (+ (fabs x) (+ (* -1 (/ (* (fabs x) (- (fabs x) (* -1 (fabs x)))) x)) (+ (* 1/2 (/ 1 x)) (/ (pow (fabs x) 2) x)))) (* -1 (fabs x))) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (+ (fabs x) (* -1 (/ (- (+ (* -1/2 (/ (fabs x) x)) (+ (/ (* (fabs x) (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2)))) x) (/ (* (+ 1 (pow (fabs x) 2)) (- (fabs x) (* -1 (fabs x)))) x))) (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2)))) x))) (* -1 (fabs x))) x))) x))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
x
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(* -1 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(/ 1 (+ 1 (fabs x)))
(+ (* -1/2 (/ (pow x 2) (pow (+ 1 (fabs x)) 2))) (/ 1 (+ 1 (fabs x))))
(+ (* (pow x 2) (- (* (pow x 2) (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3))))) (* 1/2 (/ 1 (pow (+ 1 (fabs x)) 2))))) (/ 1 (+ 1 (fabs x))))
(+ (* (pow x 2) (- (* (pow x 2) (+ (* -1 (* (pow x 2) (+ (* 1/16 (/ 1 (pow (+ 1 (fabs x)) 2))) (+ (* 1/16 (/ 1 (pow (+ 1 (fabs x)) 3))) (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))) (+ 1 (fabs x)))))))) (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 1/2 (/ 1 (pow (+ 1 (fabs x)) 2))))) (/ 1 (+ 1 (fabs x))))
(/ 1 x)
(/ (+ 1 (* -1 (/ (fabs x) x))) x)
(/ (- (+ 1 (* -1 (/ (+ 1/2 (* -1 (pow (fabs x) 2))) (pow x 2)))) (/ (fabs x) x)) x)
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (* -1/2 (fabs x))) (pow x 3)))) (+ (* -1 (/ (pow (fabs x) 2) (pow x 2))) (+ (/ 1/2 (pow x 2)) (/ (fabs x) x)))) x)
(/ -1 x)
(* -1 (/ (+ 1 (/ (fabs x) x)) x))
(* -1 (/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow (fabs x) 2) x)) (* 1/2 (/ 1 x))) (fabs x)) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2)))) x)) (* -1/2 (/ (fabs x) x))) (+ 1/2 (* -1 (pow (fabs x) 2)))) x)) (fabs x)) x))) x))
(+ 1 (fabs x))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))
x
(* x (+ 1 (/ (fabs x) x)))
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))

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

rewrite516.0ms (4.5%)

Memory

-11.2MiB live, 829.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 234×	`lower-fma.f64`
5 228×	`lower-fma.f32`
4 714×	`lower-/.f64`
4 708×	`lower-/.f32`
4 188×	`lower-*.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	362
0	63	476
1	212	283
2	1622	283
0	8456	283

Stop Event

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

Counts

26 → 1 405

Calls

Call 1

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

Outputs
(+.f32 (.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (.f32 x x))
(+.f32 (.f32 x x) (.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
(+.f32 (.f32 x x) (.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 x x) (.f32 (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)))
(+.f32 (.f32 #s(literal 1 binary32) (.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) (*.f32 x x))
(+.f32 (.f32 (.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)) (*.f32 x x))
(pow.f32 (/.f32 (fma.f32 (.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (-.f32 (.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)))) (fma.f32 (.f32 x (.f32 x x)) (.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 (.f32 x x) (.f32 x (.f32 x (*.f32 x x)))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 x x (.f32 (neg.f32 (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (fabs.f32 x))) (-.f32 (.f32 x (.f32 x (.f32 x x))) (.f32 (.f32 x x) (*.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)))))))) #s(literal -1 binary32))
(fma.f32 x x (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
(fma.f32 x x (.f32 #s(literal 1 binary32) (.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))
(fma.f32 x x (.f32 (.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)))
(fma.f32 x (.f32 x #s(literal 1 binary32)) (.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
(fma.f32 x (.f32 x #s(literal 1 binary32)) (.f32 #s(literal 1 binary32) (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))
(fma.f32 x (.f32 x #s(literal 1 binary32)) (.f32 (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)))
(fma.f32 (fabs.f32 x) (fabs.f32 x) (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
(fma.f32 (fabs.f32 x) (fabs.f32 x) (.f32 #s(literal 1 binary32) (.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))
(fma.f32 (fabs.f32 x) (fabs.f32 x) (.f32 (.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (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)))) (*.f32 x x))
(fma.f32 (fabs.f32 x) (fabs.f32 (.f32 x #s(literal 1 binary32))) (.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
(fma.f32 (fabs.f32 x) (fabs.f32 (.f32 x #s(literal 1 binary32))) (.f32 #s(literal 1 binary32) (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))
(fma.f32 (fabs.f32 x) (fabs.f32 (.f32 x #s(literal 1 binary32))) (.f32 (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)))
(fma.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))
(fma.f32 #s(literal 1 binary32) (.f32 x x) (.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
(fma.f32 #s(literal 1 binary32) (.f32 x x) (.f32 #s(literal 1 binary32) (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))
(fma.f32 #s(literal 1 binary32) (.f32 x x) (.f32 (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)))
(fma.f32 (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fabs.f32 x) (*.f32 x x))
(fma.f32 (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (/.f32 (fabs.f32 x) #s(literal 1 binary32)) (*.f32 x x))
(fma.f32 (.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32) (.f32 x x))
(fma.f32 (.f32 x x) #s(literal 1 binary32) (.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
(fma.f32 (.f32 x x) #s(literal 1 binary32) (.f32 #s(literal 1 binary32) (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))
(fma.f32 (.f32 x x) #s(literal 1 binary32) (.f32 (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)))
(fma.f32 (neg.f32 x) (neg.f32 x) (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
(fma.f32 (neg.f32 x) (neg.f32 x) (.f32 #s(literal 1 binary32) (.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))
(fma.f32 (neg.f32 x) (neg.f32 x) (.f32 (.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)))
(fma.f32 (neg.f32 (neg.f32 x)) (neg.f32 (neg.f32 x)) (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
(fma.f32 (neg.f32 (neg.f32 x)) (neg.f32 (neg.f32 x)) (.f32 #s(literal 1 binary32) (.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))
(fma.f32 (neg.f32 (neg.f32 x)) (neg.f32 (neg.f32 x)) (.f32 (.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)))
(fma.f32 (/.f32 (-.f32 (.f32 x x) (fma.f32 x x #s(literal 1 binary32))) (-.f32 (.f32 x x) (fma.f32 x x #s(literal 1 binary32)))) (/.f32 (fabs.f32 x) (/.f32 #s(literal 1 binary32) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) (*.f32 x x))
(fma.f32 (/.f32 (-.f32 (.f32 x x) (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 (fabs.f32 x) (/.f32 #s(literal 1 binary32) (fma.f32 x x (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1 binary32))))) (.f32 x x))
(fma.f32 (/.f32 (-.f32 (.f32 x x) (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 (fabs.f32 x) (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 x x (fma.f32 x x #s(literal 1 binary32))) (.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) (*.f32 x x))
(fma.f32 (/.f32 (-.f32 (.f32 x x) (fma.f32 x x #s(literal 1 binary32))) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (.f32 x x))) (/.f32 (fabs.f32 x) (/.f32 #s(literal 1 binary32) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) (*.f32 x x))
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eval642.0ms (5.7%)

Memory: 17.9MiB live, 553.5MiB allocated
Compiler: Compiled 131 821 to 8 942 computations (93.2% saved)

prune520.0ms (4.6%)

Memory

13.9MiB live, 649.3MiB allocated

Pruning

18 alts after pruning (15 fresh and 3 done)

	Pruned	Kept	Total
New	2 234	8	2 242
Fresh	4	7	11
Picked	2	3	5
Done	0	0	0
Total	2 240	18	2 258

Accuracy

99.8%

Counts

2 258 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	73.9%	(copysign.f32 (-.f32 (log1p.f32 (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (*.f32 x x))) (log.f32 (/.f32 (fma.f32 x x (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1 binary32))) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) x)
	35.7%	(copysign.f32 (+.f32 (log.f32 (fma.f32 x x (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1 binary32)))) (log.f32 (/.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)))))) x)
	14.9%	(copysign.f32 (neg.f32 (+.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x x)))) (log.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))))) x)
	14.9%	(copysign.f32 (neg.f32 (log.f32 (/.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x x))))) x)
	37.8%	(copysign.f32 (neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) x)
✓	37.8%	(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
▶	36.3%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) x)
	27.2%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x)
	27.7%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (+.f32 x (/.f32 #s(literal 1/2 binary32) x))))) x)
✓	30.8%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary32)))) x)
▶	20.0%	(copysign.f32 (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (fabs.f32 x))))) x)
	28.0%	(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x))) x)
	28.9%	(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 x (fabs.f32 x)))) x)
	57.2%	(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x)))) x)
▶	70.2%	(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (log1p.f32 (fabs.f32 x))) x)
	56.3%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (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)
▶	14.4%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (neg.f32 (/.f32 (fabs.f32 x) x)) (neg.f32 (log.f32 (neg.f32 x))))) x)
✓	12.8%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)

Compiler

Compiled 627 to 321 computations (48.8% saved)

simplify688.0ms (6.1%)

Memory

-24.0MiB live, 287.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fabs.f32 x)
✓	cost-diff	0	(+.f32 (fabs.f32 x) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
✓	cost-diff	0	(log.f32 (+.f32 (fabs.f32 x) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
✓	cost-diff	0	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) x)
✓	cost-diff	0	(neg.f32 (/.f32 (fabs.f32 x) x))
✓	cost-diff	0	#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (neg.f32 (/.f32 (fabs.f32 x) x)) (neg.f32 (log.f32 (neg.f32 x)))))
✓	cost-diff	0	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (neg.f32 (/.f32 (fabs.f32 x) x)) (neg.f32 (log.f32 (neg.f32 x))))) x)
✓	cost-diff	128	(-.f32 (neg.f32 (/.f32 (fabs.f32 x) x)) (neg.f32 (log.f32 (neg.f32 x))))
✓	cost-diff	0	(+.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (fabs.f32 x)))
✓	cost-diff	0	#s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (fabs.f32 x))))
✓	cost-diff	0	(log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (fabs.f32 x)))))
✓	cost-diff	0	(copysign.f32 (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (fabs.f32 x))))) x)
✓	cost-diff	0	(fabs.f32 x)
✓	cost-diff	0	(log1p.f32 (fabs.f32 x))
✓	cost-diff	0	#s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (log1p.f32 (fabs.f32 x)))
✓	cost-diff	0	(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (log1p.f32 (fabs.f32 x))) x)
✓	cost-diff	0	(-.f32 (log1p.f32 (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (*.f32 x x))) (log.f32 (/.f32 (fma.f32 x x (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1 binary32))) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))
✓	cost-diff	0	(copysign.f32 (-.f32 (log1p.f32 (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (*.f32 x x))) (log.f32 (/.f32 (fma.f32 x x (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1 binary32))) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) x)
✓	cost-diff	32	(fma.f32 x x (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1 binary32)))
✓	cost-diff	32	(fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (*.f32 x x))

Rules

5 760×	`lower-fma.f64`
5 750×	`lower-fma.f32`
1 936×	`lower-*.f64`
1 934×	`lower-*.f32`
1 272×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	486
0	86	482
1	128	477
2	190	470
3	286	470
4	432	466
5	718	466
6	1217	466
7	2017	466
8	3448	466
9	4740	466
10	5083	466
11	5200	466
12	5211	466
13	5211	466
14	5257	466
15	5355	466
16	5399	466
17	5408	466
18	5409	466
19	5409	466
20	5409	466
21	5866	466
22	6048	466
23	6048	466
24	6048	466
25	6048	466
26	6052	466
0	6052	461

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize326.0ms (2.9%)

Memory

8.0MiB live, 484.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f32 (fabs.f32 x) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
✓	accuracy	89.5%	(sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))
✓	accuracy	89.5%	(/.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
✓	accuracy	77.0%	(log.f32 (+.f32 (fabs.f32 x) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
✓	accuracy	100.0%	(fabs.f32 x)
✓	accuracy	100.0%	(log.f32 (neg.f32 x))
✓	accuracy	100.0%	(-.f32 (neg.f32 (/.f32 (fabs.f32 x) x)) (neg.f32 (log.f32 (neg.f32 x))))
✓	accuracy	59.3%	#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (neg.f32 (/.f32 (fabs.f32 x) x)) (neg.f32 (log.f32 (neg.f32 x)))))
✓	accuracy	100.0%	(fabs.f32 x)
✓	accuracy	100.0%	(fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (fabs.f32 x))
✓	accuracy	80.2%	#s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (fabs.f32 x))))
✓	accuracy	77.0%	(log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (fabs.f32 x)))))
✓	accuracy	100.0%	(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (log1p.f32 (fabs.f32 x))) x)
✓	accuracy	100.0%	(log1p.f32 (fabs.f32 x))
✓	accuracy	100.0%	(fabs.f32 x)
✓	accuracy	84.8%	#s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (log1p.f32 (fabs.f32 x)))
✓	accuracy	89.4%	(/.f32 (fma.f32 x x (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1 binary32))) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
✓	accuracy	88.6%	(log1p.f32 (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (*.f32 x x)))
✓	accuracy	81.0%	(-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
✓	accuracy	77.9%	(log.f32 (/.f32 (fma.f32 x x (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1 binary32))) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))

Samples

105.0ms	120×	0	invalid
71.0ms	96×	1	valid
15.0ms	40×	0	valid

Compiler

Compiled 488 to 44 computations (91% saved)

Precisions

Click to see histograms. Total time spent on operations: 171.0ms

ival-copysign: 66.0ms (38.6% of total)

ival-log: 28.0ms (16.4% of total)

ival-add: 15.0ms (8.8% of total)

ival-sub: 14.0ms (8.2% of total)

ival-div: 10.0ms (5.9% of total)

adjust: 9.0ms (5.3% of total)

ival-log1p: 9.0ms (5.3% of total)

ival-hypot: 7.0ms (4.1% of total)

ival-mult: 6.0ms (3.5% of total)

ival-neg: 4.0ms (2.3% of total)

ival-fabs: 2.0ms (1.2% of total)

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

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

exact: 0.0ms (0% of total)

series114.0ms (1%)

Memory

-18.6MiB live, 212.7MiB allocated

Counts

27 → 324

Calls

Call 1

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

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

Calls

81 calls:

Time	Variable		Point	Expression
34.0ms	x	@	inf	(log (+ 1 (fabs x)))
16.0ms	x	@	0	(log (+ 1 (fabs x)))
16.0ms	x	@	-inf	(log (+ 1 (fabs x)))
6.0ms	x	@	0	(log (neg x))
6.0ms	x	@	0	(- (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (* x x)))) (log (/ (+ (* x x) (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) 1)) (+ (fabs x) (sqrt (+ (* x x) 1))))))

simplify435.0ms (3.8%)

Memory

20.4MiB live, 690.7MiB allocated

Algorithm

1×	egg-herbie

Rules

10 736×	`lower-fma.f64`
10 736×	`lower-fma.f32`
6 262×	`lower-*.f64`
6 262×	`lower-*.f32`
5 476×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	712	8693
1	2299	8007
0	8270	7315

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 318

Calls

Call 1

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

rewrite671.0ms (5.9%)

Memory

-85.4MiB live, 729.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 300×	`lower-*.f64`
4 298×	`lower-*.f32`
4 150×	`lower-fma.f64`
4 140×	`lower-fma.f32`
3 248×	`lower-/.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	48	420
0	86	414
1	311	402
2	2562	379
0	8403	379

Stop Event

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

Counts

27 → 844

Calls

Call 1

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

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

eval310.0ms (2.7%)

Memory: 3.3MiB live, 405.5MiB allocated
Compiler: Compiled 72 746 to 6 184 computations (91.5% saved)

prune244.0ms (2.1%)

Memory

-5.2MiB live, 483.1MiB allocated

Pruning

21 alts after pruning (15 fresh and 6 done)

	Pruned	Kept	Total
New	1 540	6	1 546
Fresh	1	9	10
Picked	2	3	5
Done	0	3	3
Total	1 543	21	1 564

Accuracy

99.8%

Counts

1 564 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	73.9%	(copysign.f32 (-.f32 (log1p.f32 (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (*.f32 x x))) (log.f32 (/.f32 (fma.f32 x x (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1 binary32))) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) x)
	49.6%	(copysign.f32 (-.f32 (log1p.f32 (fma.f32 (fabs.f32 x) #s(approx (- (fabs x) (sqrt (+ (* x x) 1))) (+.f32 #s(literal -1 binary32) (fma.f32 x (.f32 x #s(literal -1/2 binary32)) (fabs.f32 x)))) (.f32 x x))) (log.f32 (/.f32 (fma.f32 x x (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1 binary32))) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) x)
	35.7%	(copysign.f32 (+.f32 (log.f32 (fma.f32 x x (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1 binary32)))) (log.f32 (/.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)))))) x)
	14.9%	(copysign.f32 (neg.f32 (+.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x x)))) (log.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))))) x)
	14.9%	(copysign.f32 (neg.f32 (log.f32 (/.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x x))))) x)
	37.8%	(copysign.f32 (neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) x)
✓	37.8%	(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
	27.2%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x)
▶	27.7%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (+.f32 x (/.f32 #s(literal 1/2 binary32) x))))) x)
✓	30.8%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary32)))) x)
▶	11.6%	(copysign.f32 (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 #s(literal 1 binary32) (fma.f32 (.f32 (fma.f32 (.f32 x x) #s(literal -1/8 binary32) #s(literal 1/2 binary32)) x) x (fabs.f32 x))))) x)
✓	20.0%	(copysign.f32 (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (fabs.f32 x))))) x)
	28.0%	(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x))) x)
	28.9%	(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 x (fabs.f32 x)))) x)
▶	57.6%	(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (fma.f32 x (*.f32 x (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (log1p.f32 (fabs.f32 x)))) x)
✓	70.2%	(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (log1p.f32 (fabs.f32 x))) x)
▶	56.3%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (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)
	14.4%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (neg.f32 (/.f32 (fabs.f32 x) x)) (log.f32 (neg.f32 x)))) x)
	14.4%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (log.f32 (neg.f32 x)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (neg.f32 (+.f32 (/.f32 (fabs.f32 x) x) (log.f32 (neg.f32 x))))))) x)
✓	12.8%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)
▶	15.6%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (neg (/ (fabs x) x)) (neg (log (neg x)))) (neg.f32 (/.f32 (fabs.f32 x) x)))) x)

Compiler

Compiled 722 to 376 computations (47.9% saved)

simplify436.0ms (3.8%)

Memory

4.1MiB live, 637.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (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))))
✓	cost-diff	0	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (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)
✓	cost-diff	160	(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))))
✓	cost-diff	512	(.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)))))
✓	cost-diff	0	(+.f32 #s(literal 1 binary32) (fma.f32 (.f32 (fma.f32 (.f32 x x) #s(literal -1/8 binary32) #s(literal 1/2 binary32)) x) x (fabs.f32 x)))
✓	cost-diff	0	#s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 #s(literal 1 binary32) (fma.f32 (.f32 (fma.f32 (.f32 x x) #s(literal -1/8 binary32) #s(literal 1/2 binary32)) x) x (fabs.f32 x))))
✓	cost-diff	0	(log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 #s(literal 1 binary32) (fma.f32 (.f32 (fma.f32 (.f32 x x) #s(literal -1/8 binary32) #s(literal 1/2 binary32)) x) x (fabs.f32 x)))))
✓	cost-diff	0	(copysign.f32 (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 #s(literal 1 binary32) (fma.f32 (.f32 (fma.f32 (.f32 x x) #s(literal -1/8 binary32) #s(literal 1/2 binary32)) x) x (fabs.f32 x))))) x)
✓	cost-diff	0	(fabs.f32 x)
✓	cost-diff	0	(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (+.f32 x (/.f32 #s(literal 1/2 binary32) x))))
✓	cost-diff	0	(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (+.f32 x (/.f32 #s(literal 1/2 binary32) x)))))
✓	cost-diff	0	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (+.f32 x (/.f32 #s(literal 1/2 binary32) x))))) x)
✓	cost-diff	0	(neg.f32 (/.f32 (fabs.f32 x) x))
✓	cost-diff	0	#s(approx (- (neg (/ (fabs x) x)) (neg (log (neg x)))) (neg.f32 (/.f32 (fabs.f32 x) x)))
✓	cost-diff	0	#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (neg (/ (fabs x) x)) (neg (log (neg x)))) (neg.f32 (/.f32 (fabs.f32 x) x))))
✓	cost-diff	0	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (neg (/ (fabs x) x)) (neg (log (neg x)))) (neg.f32 (/.f32 (fabs.f32 x) x)))) x)
✓	cost-diff	0	(*.f32 x (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))
✓	cost-diff	0	(fma.f32 x (*.f32 x (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (log1p.f32 (fabs.f32 x)))
✓	cost-diff	0	#s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (fma.f32 x (*.f32 x (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (log1p.f32 (fabs.f32 x))))
✓	cost-diff	0	(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (fma.f32 x (*.f32 x (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (log1p.f32 (fabs.f32 x)))) x)

Rules

16 944×	`lower-fma.f64`
16 934×	`lower-fma.f32`
3 520×	`lower-*.f64`
3 510×	`lower-*.f32`
2 888×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	615
0	100	611
1	171	606
2	339	599
3	883	574
4	2143	574
5	3437	574
6	4745	574
7	5737	574
0	8187	556

Stop Event

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

Calls

Call 1

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

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

localize263.0ms (2.3%)

Memory

20.6MiB live, 403.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(.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)))))
✓	accuracy	99.5%	(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))))
✓	accuracy	89.4%	(/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
✓	accuracy	77.1%	#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (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))))
✓	accuracy	99.9%	(.f32 (fma.f32 (.f32 x x) #s(literal -1/8 binary32) #s(literal 1/2 binary32)) x)
✓	accuracy	99.7%	(fma.f32 (*.f32 x x) #s(literal -1/8 binary32) #s(literal 1/2 binary32))
✓	accuracy	77.0%	#s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 #s(literal 1 binary32) (fma.f32 (.f32 (fma.f32 (.f32 x x) #s(literal -1/8 binary32) #s(literal 1/2 binary32)) x) x (fabs.f32 x))))
✓	accuracy	77.0%	(log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 #s(literal 1 binary32) (fma.f32 (.f32 (fma.f32 (.f32 x x) #s(literal -1/8 binary32) #s(literal 1/2 binary32)) x) x (fabs.f32 x)))))
✓	accuracy	100.0%	(+.f32 x (/.f32 #s(literal 1/2 binary32) x))
✓	accuracy	100.0%	(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (+.f32 x (/.f32 #s(literal 1/2 binary32) x))))
✓	accuracy	77.0%	(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (+.f32 x (/.f32 #s(literal 1/2 binary32) x)))))
✓	accuracy	47.9%	#s(approx (sqrt (+ (* x x) 1)) (+.f32 x (/.f32 #s(literal 1/2 binary32) x)))
✓	accuracy	100.0%	(neg.f32 (/.f32 (fabs.f32 x) x))
✓	accuracy	100.0%	(fabs.f32 x)
✓	accuracy	59.3%	#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (neg (/ (fabs x) x)) (neg (log (neg x)))) (neg.f32 (/.f32 (fabs.f32 x) x))))
✓	accuracy	52.6%	#s(approx (- (neg (/ (fabs x) x)) (neg (log (neg x)))) (neg.f32 (/.f32 (fabs.f32 x) x)))
✓	accuracy	100.0%	(fma.f32 x (*.f32 x (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (log1p.f32 (fabs.f32 x)))
✓	accuracy	99.9%	(/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))
✓	accuracy	99.8%	(*.f32 x (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))
✓	accuracy	79.1%	#s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (fma.f32 x (*.f32 x (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (log1p.f32 (fabs.f32 x))))

Samples

91.0ms	62×	1	valid
43.0ms	120×	0	invalid
33.0ms	74×	0	valid

Compiler

Compiled 433 to 53 computations (87.8% saved)

Precisions

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

ival-mult: 60.0ms (41% of total)

ival-div: 19.0ms (13% of total)

ival-add: 17.0ms (11.6% of total)

ival-log: 17.0ms (11.6% of total)

ival-copysign: 7.0ms (4.8% of total)

adjust: 6.0ms (4.1% of total)

ival-hypot: 6.0ms (4.1% of total)

const: 4.0ms (2.7% of total)

ival-neg: 4.0ms (2.7% of total)

ival-log1p: 3.0ms (2% of total)

ival-fabs: 2.0ms (1.4% of total)

ival-sub: 1.0ms (0.7% of total)

exact: 1.0ms (0.7% of total)

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

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

series26.0ms (0.2%)

Memory

-25.2MiB live, 53.6MiB allocated

Counts

27 → 324

Calls

Call 1

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

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

Calls

81 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(* x (/ 1/2 (+ (fabs x) 1)))
2.0ms	x	@	-inf	(* x (+ (* -1/24 (* (/ (* x x) (+ 1 (fabs x))) (+ 3 (/ 3 (+ 1 (fabs x)))))) (/ 1/2 (+ 1 (fabs x)))))
1.0ms	x	@	0	(* x (+ (* -1/24 (* (/ (* x x) (+ 1 (fabs x))) (+ 3 (/ 3 (+ 1 (fabs x)))))) (/ 1/2 (+ 1 (fabs x)))))
1.0ms	x	@	inf	(* x (+ (* -1/24 (* (/ (* x x) (+ 1 (fabs x))) (+ 3 (/ 3 (+ 1 (fabs x)))))) (/ 1/2 (+ 1 (fabs x)))))
1.0ms	x	@	-inf	(+ (* x (* x (/ 1/2 (+ (fabs x) 1)))) (log (+ 1 (fabs x))))

simplify468.0ms (4.1%)

Memory

-10.4MiB live, 799.6MiB allocated

Algorithm

1×	egg-herbie

Rules

14 240×	`lower-fma.f64`
14 240×	`lower-fma.f32`
5 756×	`lower-+.f64`
5 756×	`lower-+.f32`
5 410×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	308	4875
1	942	4536
2	3120	4395
0	8125	4114

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 319

Calls

Call 1

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

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

rewrite613.0ms (5.4%)

Memory

47.3MiB live, 839.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 676×	`lower-*.f64`
5 666×	`lower-*.f32`
5 116×	`lower-fma.f64`
5 106×	`lower-fma.f32`
3 632×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	501
0	100	497
1	393	488
2	3102	474
0	9217	461

Stop Event

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

Counts

27 → 733

Calls

Call 1

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

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

eval158.0ms (1.4%)

Memory: -4.9MiB live, 376.4MiB allocated
Compiler: Compiled 47 114 to 4 792 computations (89.8% saved)

prune205.0ms (1.8%)

Memory

5.9MiB live, 302.5MiB allocated

Pruning

27 alts after pruning (17 fresh and 10 done)

	Pruned	Kept	Total
New	1 221	7	1 228
Fresh	0	10	10
Picked	1	4	5
Done	0	6	6
Total	1 222	27	1 249

Accuracy

99.8%

Counts

1 249 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	73.9%	(copysign.f32 (-.f32 (log1p.f32 (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (*.f32 x x))) (log.f32 (/.f32 (fma.f32 x x (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1 binary32))) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) x)
	49.6%	(copysign.f32 (-.f32 (log1p.f32 (fma.f32 (fabs.f32 x) #s(approx (- (fabs x) (sqrt (+ (* x x) 1))) (+.f32 #s(literal -1 binary32) (fma.f32 x (.f32 x #s(literal -1/2 binary32)) (fabs.f32 x)))) (.f32 x x))) (log.f32 (/.f32 (fma.f32 x x (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1 binary32))) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) x)
	35.7%	(copysign.f32 (+.f32 (log.f32 (fma.f32 x x (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1 binary32)))) (log.f32 (/.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)))))) x)
	14.9%	(copysign.f32 (neg.f32 (+.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x x)))) (log.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))))) x)
	14.9%	(copysign.f32 (neg.f32 (log.f32 (/.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x x))))) x)
	37.8%	(copysign.f32 (neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) x)
✓	37.8%	(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
	27.2%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x)
✓	27.7%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (+.f32 x (/.f32 #s(literal 1/2 binary32) x))))) x)
✓	30.8%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary32)))) x)
✓	11.6%	(copysign.f32 (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 #s(literal 1 binary32) (fma.f32 (.f32 (fma.f32 (.f32 x x) #s(literal -1/8 binary32) #s(literal 1/2 binary32)) x) x (fabs.f32 x))))) x)
✓	20.0%	(copysign.f32 (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (fabs.f32 x))))) x)
	28.0%	(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x))) x)
	28.9%	(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 x (fabs.f32 x)))) x)
✓	57.6%	(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (fma.f32 x (*.f32 x (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (log1p.f32 (fabs.f32 x)))) x)
✓	70.2%	(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (log1p.f32 (fabs.f32 x))) x)
	12.4%	(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) #s(approx (+ (* x (* x (/ 1/2 (+ (fabs x) 1)))) (log (+ 1 (fabs x)))) (/.f32 (.f32 x (.f32 x #s(literal 1/2 binary32))) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) x)
	35.2%	(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) #s(approx (+ (* x (* x (/ 1/2 (+ (fabs x) 1)))) (log (+ 1 (fabs x)))) (.f32 x (.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (/.f32 (log1p.f32 (fabs.f32 x)) (*.f32 x x))))))) x)
	56.3%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 x (.f32 x #s(approx (+ ( -1/24 (* (/ (* x x) (+ 1 (fabs x))) (+ 3 (/ 3 (+ 1 (fabs x)))))) (/ 1/2 (+ 1 (fabs x)))) (fma.f32 (*.f32 x x) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/8 binary32) (+.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)
	14.4%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (neg.f32 (/.f32 (fabs.f32 x) x)) (log.f32 (neg.f32 x)))) x)
	14.4%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (log.f32 (neg.f32 x)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (neg.f32 (+.f32 (/.f32 (fabs.f32 x) x) (log.f32 (neg.f32 x))))))) x)
✓	12.8%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)
	6.5%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (neg (/ (fabs x) x)) (neg (log (neg x)))) (.f32 (neg.f32 (.f32 x (.f32 x x))) (/.f32 #s(literal 1 binary32) (.f32 x (*.f32 x x)))))) x)
	15.6%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (neg (/ (fabs x) x)) (neg (log (neg x)))) (*.f32 (fabs.f32 x) (/.f32 #s(literal -1 binary32) x)))) x)
	14.1%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (neg (/ (fabs x) x)) (neg (log (neg x)))) (neg.f32 (/.f32 (/.f32 (*.f32 x x) (fabs.f32 (+.f32 #s(literal 0 binary32) x))) x)))) x)
	8.2%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (neg (/ (fabs x) x)) (neg (log (neg x)))) (neg.f32 (/.f32 (/.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))))) x)))) x)
✓	15.6%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (neg (/ (fabs x) x)) (neg (log (neg x)))) (neg.f32 (/.f32 (fabs.f32 x) x)))) x)

Compiler

Compiled 1 213 to 461 computations (62% saved)

regimes41.0ms (0.4%)

Memory

-2.8MiB live, 33.9MiB allocated

Counts

38 → 3

Calls

Call 1

Inputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (neg (/ (fabs x) x)) (neg (log (neg x)))) (neg.f32 (/.f32 (fabs.f32 x) x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (neg (/ (fabs x) x)) (neg (log (neg x)))) (*.f32 (fabs.f32 x) (/.f32 #s(literal -1 binary32) x)))) x)
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) #s(approx (+ (* x (* x (/ 1/2 (+ (fabs x) 1)))) (log (+ 1 (fabs x)))) (/.f32 (.f32 x (.f32 x #s(literal 1/2 binary32))) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (neg (/ (fabs x) x)) (neg (log (neg x)))) (neg.f32 (/.f32 (/.f32 (*.f32 x x) (fabs.f32 (+.f32 #s(literal 0 binary32) x))) x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (neg (/ (fabs x) x)) (neg (log (neg x)))) (.f32 (neg.f32 (.f32 x (.f32 x x))) (/.f32 #s(literal 1 binary32) (.f32 x (*.f32 x x)))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (neg (/ (fabs x) x)) (neg (log (neg x)))) (neg.f32 (/.f32 (/.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))))) x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x)
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (log1p.f32 (fabs.f32 x))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 x (fabs.f32 x)))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary32)))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))))) x)
(copysign.f32 (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (fabs.f32 x))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (+.f32 x (/.f32 #s(literal 1/2 binary32) x))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (neg.f32 (/.f32 (fabs.f32 x) x)) (log.f32 (neg.f32 x)))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.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 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 #s(literal 1 binary32) (fma.f32 (.f32 (fma.f32 (.f32 x x) #s(literal -1/8 binary32) #s(literal 1/2 binary32)) x) x (fabs.f32 x))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (log1p.f32 (fabs.f32 x)))) x)
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x)))) x)
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (fma.f32 x (*.f32 x (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (log1p.f32 (fabs.f32 x)))) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) x)
(copysign.f32 (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 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) #s(approx (+ (* x (* x (/ 1/2 (+ (fabs x) 1)))) (log (+ 1 (fabs x)))) (.f32 x (.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (/.f32 (log1p.f32 (fabs.f32 x)) (*.f32 x x))))))) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x x))))) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (fma.f32 x x (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 x (.f32 x #s(approx (+ ( -1/24 (* (/ (* x x) (+ 1 (fabs x))) (+ 3 (/ 3 (+ 1 (fabs x)))))) (/ 1/2 (+ 1 (fabs x)))) (fma.f32 (*.f32 x x) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/8 binary32) (+.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 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (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 (neg.f32 (+.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x x)))) (log.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))))) x)
(copysign.f32 (-.f32 (log1p.f32 (fma.f32 (fabs.f32 x) #s(approx (- (fabs x) (sqrt (+ (* x x) 1))) (+.f32 #s(literal -1 binary32) (fma.f32 x (.f32 x #s(literal -1/2 binary32)) (fabs.f32 x)))) (.f32 x x))) (log.f32 (/.f32 (fma.f32 x x (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1 binary32))) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) x)
(copysign.f32 (+.f32 (log1p.f32 (fma.f32 x x (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (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)))) (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)))))) x)
(copysign.f32 (-.f32 (log1p.f32 (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (*.f32 x x))) (log.f32 (/.f32 (fma.f32 x x (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1 binary32))) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) x)
(copysign.f32 (+.f32 (log.f32 (fma.f32 x x (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1 binary32)))) (log.f32 (/.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)))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (log.f32 (neg.f32 x)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (neg.f32 (+.f32 (/.f32 (fabs.f32 x) x) (log.f32 (neg.f32 x))))))) x)

Outputs

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

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

Calls

2 calls:

29.0ms	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
10.0ms	x

Results

Accuracy	Segments	Branch
99.3%	3	`x`
99.3%	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)

regimes26.0ms (0.2%)

Memory

1.7MiB live, 39.3MiB allocated

Counts

30 → 3

Calls

Call 1

Inputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (neg (/ (fabs x) x)) (neg (log (neg x)))) (neg.f32 (/.f32 (fabs.f32 x) x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (neg (/ (fabs x) x)) (neg (log (neg x)))) (*.f32 (fabs.f32 x) (/.f32 #s(literal -1 binary32) x)))) x)
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) #s(approx (+ (* x (* x (/ 1/2 (+ (fabs x) 1)))) (log (+ 1 (fabs x)))) (/.f32 (.f32 x (.f32 x #s(literal 1/2 binary32))) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (neg (/ (fabs x) x)) (neg (log (neg x)))) (neg.f32 (/.f32 (/.f32 (*.f32 x x) (fabs.f32 (+.f32 #s(literal 0 binary32) x))) x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (neg (/ (fabs x) x)) (neg (log (neg x)))) (.f32 (neg.f32 (.f32 x (.f32 x x))) (/.f32 #s(literal 1 binary32) (.f32 x (*.f32 x x)))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (neg (/ (fabs x) x)) (neg (log (neg x)))) (neg.f32 (/.f32 (/.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))))) x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x)
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (log1p.f32 (fabs.f32 x))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 x (fabs.f32 x)))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary32)))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))))) x)
(copysign.f32 (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (fabs.f32 x))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (+.f32 x (/.f32 #s(literal 1/2 binary32) x))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (neg.f32 (/.f32 (fabs.f32 x) x)) (log.f32 (neg.f32 x)))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.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 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 #s(literal 1 binary32) (fma.f32 (.f32 (fma.f32 (.f32 x x) #s(literal -1/8 binary32) #s(literal 1/2 binary32)) x) x (fabs.f32 x))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (log1p.f32 (fabs.f32 x)))) x)
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x)))) x)
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (fma.f32 x (*.f32 x (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (log1p.f32 (fabs.f32 x)))) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) x)
(copysign.f32 (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 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) #s(approx (+ (* x (* x (/ 1/2 (+ (fabs x) 1)))) (log (+ 1 (fabs x)))) (.f32 x (.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (/.f32 (log1p.f32 (fabs.f32 x)) (*.f32 x x))))))) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x x))))) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (fma.f32 x x (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))))) x)

Outputs

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

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

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

Calls

2 calls:

16.0ms	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
8.0ms	x

Results

Accuracy	Segments	Branch
98.8%	3	`x`
98.8%	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)

regimes16.0ms (0.1%)

Memory

-12.1MiB live, 30.7MiB allocated

Counts

21 → 3

Calls

Call 1

Inputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (neg (/ (fabs x) x)) (neg (log (neg x)))) (neg.f32 (/.f32 (fabs.f32 x) x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (neg (/ (fabs x) x)) (neg (log (neg x)))) (*.f32 (fabs.f32 x) (/.f32 #s(literal -1 binary32) x)))) x)
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) #s(approx (+ (* x (* x (/ 1/2 (+ (fabs x) 1)))) (log (+ 1 (fabs x)))) (/.f32 (.f32 x (.f32 x #s(literal 1/2 binary32))) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (neg (/ (fabs x) x)) (neg (log (neg x)))) (neg.f32 (/.f32 (/.f32 (*.f32 x x) (fabs.f32 (+.f32 #s(literal 0 binary32) x))) x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (neg (/ (fabs x) x)) (neg (log (neg x)))) (.f32 (neg.f32 (.f32 x (.f32 x x))) (/.f32 #s(literal 1 binary32) (.f32 x (*.f32 x x)))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (neg (/ (fabs x) x)) (neg (log (neg x)))) (neg.f32 (/.f32 (/.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))))) x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x)
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (log1p.f32 (fabs.f32 x))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 x (fabs.f32 x)))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary32)))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))))) x)
(copysign.f32 (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (fabs.f32 x))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (+.f32 x (/.f32 #s(literal 1/2 binary32) x))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (neg.f32 (/.f32 (fabs.f32 x) x)) (log.f32 (neg.f32 x)))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.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 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 #s(literal 1 binary32) (fma.f32 (.f32 (fma.f32 (.f32 x x) #s(literal -1/8 binary32) #s(literal 1/2 binary32)) x) x (fabs.f32 x))))) x)

Outputs

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

(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x)

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes11.0ms (0.1%)

Memory

-11.9MiB live, 26.4MiB allocated

Counts

15 → 3

Calls

Call 1

Inputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (neg (/ (fabs x) x)) (neg (log (neg x)))) (neg.f32 (/.f32 (fabs.f32 x) x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (neg (/ (fabs x) x)) (neg (log (neg x)))) (*.f32 (fabs.f32 x) (/.f32 #s(literal -1 binary32) x)))) x)
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) #s(approx (+ (* x (* x (/ 1/2 (+ (fabs x) 1)))) (log (+ 1 (fabs x)))) (/.f32 (.f32 x (.f32 x #s(literal 1/2 binary32))) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (neg (/ (fabs x) x)) (neg (log (neg x)))) (neg.f32 (/.f32 (/.f32 (*.f32 x x) (fabs.f32 (+.f32 #s(literal 0 binary32) x))) x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (neg (/ (fabs x) x)) (neg (log (neg x)))) (.f32 (neg.f32 (.f32 x (.f32 x x))) (/.f32 #s(literal 1 binary32) (.f32 x (*.f32 x x)))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (neg (/ (fabs x) x)) (neg (log (neg x)))) (neg.f32 (/.f32 (/.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))))) x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x)
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (log1p.f32 (fabs.f32 x))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 x (fabs.f32 x)))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary32)))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))))) x)
(copysign.f32 (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (fabs.f32 x))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (+.f32 x (/.f32 #s(literal 1/2 binary32) x))))) x)

Outputs

(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x))) x)

(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x)

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

Calls

2 calls:

6.0ms	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
95.7%	3	`x`
95.7%	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)

regimes9.0ms (0.1%)

Memory

23.3MiB live, 23.3MiB allocated

Counts

14 → 3

Calls

Call 1

Inputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (neg (/ (fabs x) x)) (neg (log (neg x)))) (neg.f32 (/.f32 (fabs.f32 x) x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (neg (/ (fabs x) x)) (neg (log (neg x)))) (*.f32 (fabs.f32 x) (/.f32 #s(literal -1 binary32) x)))) x)
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) #s(approx (+ (* x (* x (/ 1/2 (+ (fabs x) 1)))) (log (+ 1 (fabs x)))) (/.f32 (.f32 x (.f32 x #s(literal 1/2 binary32))) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (neg (/ (fabs x) x)) (neg (log (neg x)))) (neg.f32 (/.f32 (/.f32 (*.f32 x x) (fabs.f32 (+.f32 #s(literal 0 binary32) x))) x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (neg (/ (fabs x) x)) (neg (log (neg x)))) (.f32 (neg.f32 (.f32 x (.f32 x x))) (/.f32 #s(literal 1 binary32) (.f32 x (*.f32 x x)))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (neg (/ (fabs x) x)) (neg (log (neg x)))) (neg.f32 (/.f32 (/.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))))) x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x)
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (log1p.f32 (fabs.f32 x))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 x (fabs.f32 x)))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary32)))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))))) x)
(copysign.f32 (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (fabs.f32 x))))) x)

Outputs

(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x))) x)

(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x)

(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 x (fabs.f32 x)))) x)

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
95.4%	3	`x`
95.4%	3	`(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes9.0ms (0.1%)

Memory

-17.7MiB live, 18.5MiB allocated

Counts

10 → 2

Calls

Call 1

Inputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (neg (/ (fabs x) x)) (neg (log (neg x)))) (neg.f32 (/.f32 (fabs.f32 x) x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (neg (/ (fabs x) x)) (neg (log (neg x)))) (*.f32 (fabs.f32 x) (/.f32 #s(literal -1 binary32) x)))) x)
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) #s(approx (+ (* x (* x (/ 1/2 (+ (fabs x) 1)))) (log (+ 1 (fabs x)))) (/.f32 (.f32 x (.f32 x #s(literal 1/2 binary32))) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (neg (/ (fabs x) x)) (neg (log (neg x)))) (neg.f32 (/.f32 (/.f32 (*.f32 x x) (fabs.f32 (+.f32 #s(literal 0 binary32) x))) x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (neg (/ (fabs x) x)) (neg (log (neg x)))) (.f32 (neg.f32 (.f32 x (.f32 x x))) (/.f32 #s(literal 1 binary32) (.f32 x (*.f32 x x)))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (neg (/ (fabs x) x)) (neg (log (neg x)))) (neg.f32 (/.f32 (/.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))))) x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x)
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (log1p.f32 (fabs.f32 x))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 x (fabs.f32 x)))) x)

Outputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 x (fabs.f32 x)))) x)

Calls

2 calls:

5.0ms	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
83.4%	2	`x`
83.4%	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)

regimes7.0ms (0.1%)

Memory

16.0MiB live, 16.0MiB allocated

Counts

9 → 1

Calls

Call 1

Inputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (neg (/ (fabs x) x)) (neg (log (neg x)))) (neg.f32 (/.f32 (fabs.f32 x) x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (neg (/ (fabs x) x)) (neg (log (neg x)))) (*.f32 (fabs.f32 x) (/.f32 #s(literal -1 binary32) x)))) x)
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) #s(approx (+ (* x (* x (/ 1/2 (+ (fabs x) 1)))) (log (+ 1 (fabs x)))) (/.f32 (.f32 x (.f32 x #s(literal 1/2 binary32))) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (neg (/ (fabs x) x)) (neg (log (neg x)))) (neg.f32 (/.f32 (/.f32 (*.f32 x x) (fabs.f32 (+.f32 #s(literal 0 binary32) x))) x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (neg (/ (fabs x) x)) (neg (log (neg x)))) (.f32 (neg.f32 (.f32 x (.f32 x x))) (/.f32 #s(literal 1 binary32) (.f32 x (*.f32 x x)))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (neg (/ (fabs x) x)) (neg (log (neg x)))) (neg.f32 (/.f32 (/.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))))) x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x)
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (log1p.f32 (fabs.f32 x))) x)

Outputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (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
70.2%	1	`(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)`
70.2%	1	`x`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory

-20.1MiB live, 15.9MiB allocated

Counts

7 → 2

Calls

Call 1

Inputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (neg (/ (fabs x) x)) (neg (log (neg x)))) (neg.f32 (/.f32 (fabs.f32 x) x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (neg (/ (fabs x) x)) (neg (log (neg x)))) (*.f32 (fabs.f32 x) (/.f32 #s(literal -1 binary32) x)))) x)
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) #s(approx (+ (* x (* x (/ 1/2 (+ (fabs x) 1)))) (log (+ 1 (fabs x)))) (/.f32 (.f32 x (.f32 x #s(literal 1/2 binary32))) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (neg (/ (fabs x) x)) (neg (log (neg x)))) (neg.f32 (/.f32 (/.f32 (*.f32 x x) (fabs.f32 (+.f32 #s(literal 0 binary32) x))) x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (neg (/ (fabs x) x)) (neg (log (neg x)))) (.f32 (neg.f32 (.f32 x (.f32 x x))) (/.f32 #s(literal 1 binary32) (.f32 x (*.f32 x x)))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (neg (/ (fabs x) x)) (neg (log (neg x)))) (neg.f32 (/.f32 (/.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))))) x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)

Outputs

(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (neg (/ (fabs x) x)) (neg (log (neg x)))) (neg.f32 (/.f32 (fabs.f32 x) x)))) x)

(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.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
21.1%	2	`x`
21.1%	2	`(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes5.0ms (0%)

Memory

14.9MiB live, 14.9MiB allocated

Accuracy

Total -3.2b remaining (-11.9%)

Threshold costs -3.2b (-11.9%)

Counts

6 → 1

Calls

Call 1

Inputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (neg (/ (fabs x) x)) (neg (log (neg x)))) (neg.f32 (/.f32 (fabs.f32 x) x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (neg (/ (fabs x) x)) (neg (log (neg x)))) (*.f32 (fabs.f32 x) (/.f32 #s(literal -1 binary32) x)))) x)
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) #s(approx (+ (* x (* x (/ 1/2 (+ (fabs x) 1)))) (log (+ 1 (fabs x)))) (/.f32 (.f32 x (.f32 x #s(literal 1/2 binary32))) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (neg (/ (fabs x) x)) (neg (log (neg x)))) (neg.f32 (/.f32 (/.f32 (*.f32 x x) (fabs.f32 (+.f32 #s(literal 0 binary32) x))) x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (neg (/ (fabs x) x)) (neg (log (neg x)))) (.f32 (neg.f32 (.f32 x (.f32 x x))) (/.f32 #s(literal 1 binary32) (.f32 x (*.f32 x x)))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (neg (/ (fabs x) x)) (neg (log (neg x)))) (neg.f32 (/.f32 (/.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))))) x)))) x)

Outputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (neg (/ (fabs x) x)) (neg (log (neg x)))) (neg.f32 (/.f32 (fabs.f32 x) x)))) x)

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
15.6%	1	`x`
15.6%	1	`(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)`

Compiler

Compiled 15 to 10 computations (33.3% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.3MiB 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

1.0MiB live, 1.0MiB 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

0.9MiB live, 0.9MiB 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

1.0MiB live, 1.0MiB 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

0.9MiB live, 0.9MiB 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

0.6MiB live, 0.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.024173123762011528	20.757165908813477

Compiler

Compiled 16 to 11 computations (31.3% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.02417084015905857	3.726618528366089

Compiler

Compiled 16 to 13 computations (18.8% saved)

simplify14.0ms (0.1%)

Memory

-19.8MiB live, 25.6MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	95	612
1	116	612
2	124	612
3	129	612
4	131	612

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 (fabs.f32 x) #s(approx (sqrt (+ ( x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) 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 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (fma.f32 x (.f32 x #s(approx (+ ( -1/24 (* (/ (* x x) (+ 1 (fabs x))) (+ 3 (/ 3 (+ 1 (fabs x)))))) (/ 1/2 (+ 1 (fabs x)))) (fma.f32 (.f32 x x) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/8 binary32) (+.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 (fabs.f32 x) #s(approx (sqrt (+ ( x x) 1)) (+.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 (fabs.f32 x) #s(approx (sqrt (+ ( x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) 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 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (fma.f32 (.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (log1p.f32 (fabs.f32 x)))) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ ( x x) 1)) (+.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 (fabs.f32 x) #s(approx (sqrt (+ ( x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) 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 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (log1p.f32 (fabs.f32 x))) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (+.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 #s(approx (+ (fabs x) (sqrt (+ ( x x) 1))) (-.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 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (log1p.f32 (fabs.f32 x))) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (+.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 #s(approx (+ (fabs x) (sqrt (+ ( x x) 1))) (-.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 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (log1p.f32 (fabs.f32 x))) x) (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 x (fabs.f32 x)))) x)))
(if (<=.f32 x #s(literal 5368709/134217728 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x) (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 x (fabs.f32 x)))) x))
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x)
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) x) #s(literal 5368709/134217728 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) #s(approx (- (neg (/ (fabs x) x)) (neg (log (neg x)))) (neg.f32 (/.f32 (fabs.f32 x) x)))) x) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x))
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (neg (/ (fabs x) x)) (neg (log (neg x)))) (neg.f32 (/.f32 (fabs.f32 x) x)))) x)

Outputs
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) x) #s(literal -2 binary32)) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ ( x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) 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 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (fma.f32 x (.f32 x #s(approx (+ ( -1/24 (* (/ (* x x) (+ 1 (fabs x))) (+ 3 (/ 3 (+ 1 (fabs x)))))) (/ 1/2 (+ 1 (fabs x)))) (fma.f32 (.f32 x x) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/8 binary32) (+.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 (fabs.f32 x) #s(approx (sqrt (+ ( x x) 1)) (+.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 (fabs.f32 x) #s(approx (sqrt (+ ( x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) 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 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (fma.f32 x (.f32 x #s(approx (+ ( -1/24 (* (/ (* x x) (+ 1 (fabs x))) (+ 3 (/ 3 (+ 1 (fabs x)))))) (/ 1/2 (+ 1 (fabs x)))) (fma.f32 (.f32 x x) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))))) (log1p.f32 (fabs.f32 x)))) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ ( x x) 1)) (+.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 (fabs.f32 x) #s(approx (sqrt (+ ( x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) 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 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (fma.f32 (.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (log1p.f32 (fabs.f32 x)))) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ ( x x) 1)) (+.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 (fabs.f32 x) #s(approx (sqrt (+ ( x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) 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 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (fma.f32 (.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x)))) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ ( x x) 1)) (+.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 (fabs.f32 x) #s(approx (sqrt (+ ( x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) 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 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (log1p.f32 (fabs.f32 x))) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (+.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 #s(approx (+ (fabs x) (sqrt (+ ( x x) 1))) (-.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 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (log1p.f32 (fabs.f32 x))) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (+.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 #s(approx (+ (fabs x) (sqrt (+ ( x x) 1))) (-.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 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (log1p.f32 (fabs.f32 x))) x) (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 x (fabs.f32 x)))) x)))
(if (<=.f32 x #s(literal 5368709/134217728 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x) (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 x (fabs.f32 x)))) x))
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x)
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) x) #s(literal 5368709/134217728 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) #s(approx (- (neg (/ (fabs x) x)) (neg (log (neg x)))) (neg.f32 (/.f32 (fabs.f32 x) x)))) x) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x))
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (neg (/ (fabs x) x)) (neg (log (neg x)))) (neg.f32 (/.f32 (fabs.f32 x) x)))) x)

soundness1.2s (11%)

Memory

43.4MiB live, 746.2MiB allocated

Rules

24 610×	`lower-fma.f64`
24 610×	`lower-fma.f32`
14 240×	`lower-fma.f64`
14 240×	`lower-fma.f32`
10 736×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	308	4875
1	942	4536
2	3120	4395
0	8125	4114
0	712	8693
1	2299	8007
0	8270	7315
0	169	782
1	490	754
2	1511	741
3	5413	691
0	8421	635

Stop Event

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

Compiler

Compiled 553 to 172 computations (68.9% saved)

preprocess108.0ms (0.9%)

Memory: -46.0MiB live, 257.0MiB allocated
Compiler: Compiled 846 to 162 computations (80.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample463.0ms (4.1%)

preprocess17.0ms (0.1%)

explain165.0ms (1.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize180.0ms (1.6%)

series5.0ms (0%)

simplify587.0ms (5.2%)

rewrite406.0ms (3.6%)

eval52.0ms (0.5%)

prune58.0ms (0.5%)

simplify112.0ms (1%)

localize329.0ms (2.9%)

series219.0ms (1.9%)

simplify614.0ms (5.4%)

rewrite516.0ms (4.5%)

eval642.0ms (5.7%)

prune520.0ms (4.6%)

simplify688.0ms (6.1%)

localize326.0ms (2.9%)

series114.0ms (1%)

simplify435.0ms (3.8%)

rewrite671.0ms (5.9%)

eval310.0ms (2.7%)

prune244.0ms (2.1%)

simplify436.0ms (3.8%)

localize263.0ms (2.3%)

series26.0ms (0.2%)

simplify468.0ms (4.1%)

rewrite613.0ms (5.4%)

eval158.0ms (1.4%)

prune205.0ms (1.8%)

regimes41.0ms (0.4%)

regimes26.0ms (0.2%)

regimes16.0ms (0.1%)

regimes11.0ms (0.1%)

regimes9.0ms (0.1%)

regimes9.0ms (0.1%)

regimes7.0ms (0.1%)

regimes8.0ms (0.1%)

regimes5.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify14.0ms (0.1%)

soundness1.2s (11%)

preprocess108.0ms (0.9%)

end0.0ms (0%)

Profiling