Metrics for Rust f64::asinh

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 4 to 4 computations (0% saved)

sample476.0ms (7.6%)

Memory

9.7MiB live, 726.5MiB allocated

Samples

285.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 118.0ms

ival-asinh: 110.0ms (93.1% of total)

ival-true: 6.0ms (5.1% of total)

ival-assert: 3.0ms (2.5% of total)

Bogosity

explain217.0ms (3.5%)

Memory

-11.3MiB live, 298.1MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`log.f64`	`(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))`	sensitivity	117	0
`sqrt.f64`	`(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))`	oflow-rescue	71	0
↳	`(*.f64 x x)`	overflow	71
↳	`(+.f64 (*.f64 x x) #s(literal 1 binary64))`	overflow	71

Confusion

	Predicted +	Predicted -
+	188	0
-	0	68

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	188	0	0
-	0	0	68

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	68
1	188

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

47.0ms	98×	2	valid
40.0ms	130×	1	valid
27.0ms	284×	0	valid

Compiler

Compiled 114 to 31 computations (72.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 87.0ms

ival-log: 34.0ms (39.2% of total)

ival-hypot: 24.0ms (27.7% of total)

ival-add: 8.0ms (9.2% of total)

adjust: 6.0ms (6.9% of total)

ival-copysign: 6.0ms (6.9% of total)

ival-mult: 4.0ms (4.6% of total)

ival-fabs: 3.0ms (3.5% of total)

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

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

exact: 0.0ms (0% of total)

preprocess12.0ms (0.2%)

Memory

23.0MiB live, 23.0MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 12 to 9 computations (25% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	31.1%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)

Compiler

Compiled 12 to 9 computations (25% saved)

simplify9.0ms (0.1%)

Memory

-51.6MiB live, 5.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize63.0ms (1%)

Memory

15.0MiB live, 90.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	0	(fabs.f64 x)
accuracy	16.46391579703083	(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))
accuracy	26.917590334224148	(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))

Samples

24.0ms	49×	2	valid
16.0ms	65×	1	valid
13.0ms	142×	0	valid

Compiler

Compiled 51 to 11 computations (78.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-log: 17.0ms (39.6% of total)

ival-hypot: 12.0ms (28% of total)

adjust: 3.0ms (7% of total)

ival-copysign: 3.0ms (7% of total)

ival-add: 3.0ms (7% of total)

ival-mult: 2.0ms (4.7% of total)

ival-fabs: 2.0ms (4.7% of total)

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

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

exact: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory

10.2MiB live, 10.2MiB allocated

Counts

7 → 84

Calls

Call 1

Inputs
#s(alt (+.f64 (.f64 x x) #s(literal 1 binary64)) (patch (+.f64 (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) (patch (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #<representation binary64>) () ())
#s(alt (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) (patch (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) #<representation binary64>) () ())
#s(alt (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)))) (patch (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))) (patch (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fabs.f64 x) (patch (fabs.f64 x) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())

Outputs
#s(alt 1 (taylor 0 x) (#s(alt (+.f64 (.f64 x x) #s(literal 1 binary64)) (patch (+.f64 (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (pow x 2)) (taylor 0 x) (#s(alt (+.f64 (.f64 x x) #s(literal 1 binary64)) (patch (+.f64 (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (pow x 2)) (taylor 0 x) (#s(alt (+.f64 (.f64 x x) #s(literal 1 binary64)) (patch (+.f64 (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (pow x 2)) (taylor 0 x) (#s(alt (+.f64 (.f64 x x) #s(literal 1 binary64)) (patch (+.f64 (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor 0 x) (#s(alt (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) (patch (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #<representation binary64>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor 0 x) (#s(alt (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) (patch (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #<representation binary64>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor 0 x) (#s(alt (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) (patch (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #<representation binary64>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor 0 x) (#s(alt (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) (patch (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #<representation binary64>) () ())) ())
#s(alt (log (+ 1 (fabs x))) (taylor 0 x) (#s(alt (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) (patch (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) (taylor 0 x) (#s(alt (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) (patch (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(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))))))) (taylor 0 x) (#s(alt (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) (patch (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(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))))))) (taylor 0 x) (#s(alt (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) (patch (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (fabs x)) (taylor 0 x) (#s(alt (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)))) (patch (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (taylor 0 x) (#s(alt (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)))) (patch (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))) (taylor 0 x) (#s(alt (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)))) (patch (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))) (taylor 0 x) (#s(alt (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)))) (patch (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))) (patch (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 (pow x 2))) (taylor 0 x) (#s(alt (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))) (patch (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))) (taylor 0 x) (#s(alt (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))) (patch (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))) (taylor 0 x) (#s(alt (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))) (patch (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs x) (taylor 0 x) (#s(alt (fabs.f64 x) (patch (fabs.f64 x) #<representation binary64>) () ())) ())
#s(alt (fabs x) (taylor 0 x) (#s(alt (fabs.f64 x) (patch (fabs.f64 x) #<representation binary64>) () ())) ())
#s(alt (fabs x) (taylor 0 x) (#s(alt (fabs.f64 x) (patch (fabs.f64 x) #<representation binary64>) () ())) ())
#s(alt (fabs x) (taylor 0 x) (#s(alt (fabs.f64 x) (patch (fabs.f64 x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (+.f64 (.f64 x x) #s(literal 1 binary64)) (patch (+.f64 (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ 1 (pow x 2)))) (taylor inf x) (#s(alt (+.f64 (.f64 x x) #s(literal 1 binary64)) (patch (+.f64 (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ 1 (pow x 2)))) (taylor inf x) (#s(alt (+.f64 (.f64 x x) #s(literal 1 binary64)) (patch (+.f64 (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ 1 (pow x 2)))) (taylor inf x) (#s(alt (+.f64 (.f64 x x) #s(literal 1 binary64)) (patch (+.f64 (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor inf x) (#s(alt (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) (patch (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #<representation binary64>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor inf x) (#s(alt (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) (patch (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #<representation binary64>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor inf x) (#s(alt (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) (patch (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #<representation binary64>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor inf x) (#s(alt (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) (patch (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (/ 1 x))) (taylor inf x) (#s(alt (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) (patch (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (log (/ 1 x))) (/ (fabs x) x)) (taylor inf x) (#s(alt (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) (patch (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))) (taylor inf x) (#s(alt (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) (patch (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(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)))) (taylor inf x) (#s(alt (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) (patch (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)))) (patch (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ (fabs x) x))) (taylor inf x) (#s(alt (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)))) (patch (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x)))) (taylor inf x) (#s(alt (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)))) (patch (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4))))) (taylor inf x) (#s(alt (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)))) (patch (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))) (patch (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))) (patch (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) (taylor inf x) (#s(alt (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))) (patch (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) (taylor inf x) (#s(alt (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))) (patch (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs x) (taylor inf x) (#s(alt (fabs.f64 x) (patch (fabs.f64 x) #<representation binary64>) () ())) ())
#s(alt (fabs x) (taylor inf x) (#s(alt (fabs.f64 x) (patch (fabs.f64 x) #<representation binary64>) () ())) ())
#s(alt (fabs x) (taylor inf x) (#s(alt (fabs.f64 x) (patch (fabs.f64 x) #<representation binary64>) () ())) ())
#s(alt (fabs x) (taylor inf x) (#s(alt (fabs.f64 x) (patch (fabs.f64 x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (+.f64 (.f64 x x) #s(literal 1 binary64)) (patch (+.f64 (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (+.f64 (.f64 x x) #s(literal 1 binary64)) (patch (+.f64 (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (+.f64 (.f64 x x) #s(literal 1 binary64)) (patch (+.f64 (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (+.f64 (.f64 x x) #s(literal 1 binary64)) (patch (+.f64 (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor -inf x) (#s(alt (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) (patch (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #<representation binary64>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor -inf x) (#s(alt (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) (patch (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #<representation binary64>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor -inf x) (#s(alt (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) (patch (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #<representation binary64>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor -inf x) (#s(alt (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) (patch (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (/ -1 x))) (taylor -inf x) (#s(alt (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) (patch (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x))) (taylor -inf x) (#s(alt (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) (patch (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x))) (taylor -inf x) (#s(alt (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) (patch (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(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))) (taylor -inf x) (#s(alt (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) (patch (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)))) (patch (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (fabs x) x))))) (taylor -inf x) (#s(alt (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)))) (patch (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x))))) (taylor -inf x) (#s(alt (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)))) (patch (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x))))) (taylor -inf x) (#s(alt (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)))) (patch (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))) (patch (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))) (patch (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))) (taylor -inf x) (#s(alt (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))) (patch (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))) (taylor -inf x) (#s(alt (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))) (patch (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs x) (taylor -inf x) (#s(alt (fabs.f64 x) (patch (fabs.f64 x) #<representation binary64>) () ())) ())
#s(alt (fabs x) (taylor -inf x) (#s(alt (fabs.f64 x) (patch (fabs.f64 x) #<representation binary64>) () ())) ())
#s(alt (fabs x) (taylor -inf x) (#s(alt (fabs.f64 x) (patch (fabs.f64 x) #<representation binary64>) () ())) ())
#s(alt (fabs x) (taylor -inf x) (#s(alt (fabs.f64 x) (patch (fabs.f64 x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	((+ (* x x) 1) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (fabs x) (* x x))
1.0ms	x	@	-inf	((+ (* x x) 1) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (fabs x) (* x x))
1.0ms	x	@	inf	((+ (* x x) 1) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (fabs x) (* x x))

Time

Variable

Point

Expression

2.0ms

((+ (* x x) 1) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (fabs x) (* x x))

1.0ms

-inf

((+ (* x x) 1) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (fabs x) (* x x))

1.0ms

inf

((+ (* x x) 1) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (fabs x) (* x x))

simplify322.0ms (5.2%)

Memory

22.0MiB live, 292.9MiB 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	818
1	490	790
2	1513	777
3	5415	727
0	8408	671

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 82

Calls

Call 1

Inputs
1
(+ 1 (pow x 2))
(+ 1 (pow x 2))
(+ 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)
(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 (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))))))
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)))))
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(pow x 2)
(pow x 2)
(pow x 2)
(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)
(* -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))))
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)))))
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))))
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(pow x 2)
(pow x 2)
(pow x 2)
(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)
(* -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 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 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)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)

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

rewrite300.0ms (4.8%)

Memory

12.1MiB live, 205.4MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	47
0	16	47
1	51	47
2	324	47
3	3419	47
0	8352	42

Stop Event

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

Counts

7 → 304

Calls

Call 1

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

Outputs
(*.f64 (exp.f64 (log.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))))))
(*.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 6 binary64)))) (exp.f64 (neg.f64 (log1p.f64 (fma.f64 (neg.f64 x) x (pow.f64 x #s(literal 4 binary64)))))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (-.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x x #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/4 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/4 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))
(*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 (neg.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log1p.f64 (*.f64 x x)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (log1p.f64 (.f64 x x))))
(pow.f64 (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64))
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 4 binary64)))) (exp.f64 (log1p.f64 (*.f64 (neg.f64 x) x))))
(/.f64 (exp.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))))) (exp.f64 (log1p.f64 (*.f64 (neg.f64 x) x))))
(/.f64 (exp.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log1p.f64 (pow.f64 x #s(literal 6 binary64))))) (exp.f64 (log.f64 (neg.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))))))
(/.f64 (exp.f64 (log.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (exp.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64)))))
(/.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 6 binary64)))) (exp.f64 (log1p.f64 (fma.f64 (neg.f64 x) x (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 18 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 6 binary64))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))) (sqrt.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -2 binary64))) (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))))
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(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))

eval83.0ms (1.3%)

Memory: -14.5MiB live, 152.3MiB allocated
Compiler: Compiled 8 789 to 1 801 computations (79.5% saved)

prune100.0ms (1.6%)

Memory

-3.1MiB live, 35.4MiB allocated

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	375	11	386
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	376	11	387

Accuracy

100.0%

Counts

387 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	5.9%	(copysign.f64 (neg.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 x x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))) x)
	31.1%	(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
▶	9.6%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))) x)
▶	28.8%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) x)
	28.7%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) x)
	20.6%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))) x)
▶	29.3%	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) x)
	29.0%	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))) x)
	48.7%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x)))) x)
▶	62.1%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x)
▶	9.5%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x)

Compiler

Compiled 240 to 176 computations (26.7% saved)

simplify65.0ms (1%)

Memory

-18.3MiB live, 30.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Rules

576×	`lower-fma.f32`
574×	`lower-fma.f64`
328×	`lower-*.f32`
326×	`lower-*.f64`
200×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	272
0	53	272
1	67	272
2	75	272
3	85	272
4	101	272
5	153	272
6	215	272
7	291	272
8	430	272
9	608	272
10	696	272
11	763	272
12	804	272
13	816	272
0	816	257

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize66.0ms (1.1%)

Memory

1.0MiB live, 112.7MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))
accuracy	0	(fabs.f64 x)
accuracy	0.14896719676196396	(log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))))
accuracy	17.623972310927325	#s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))
accuracy	0	(*.f64 x x)
accuracy	0	(fabs.f64 x)
accuracy	0.14896719676196396	(log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))))
accuracy	16.027328064838414	#s(approx (sqrt (+ (* x x) 1)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
accuracy	0	(-.f64 (fabs.f64 x) x)
accuracy	0	(fabs.f64 x)
accuracy	0.14896719676196396	(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x)))
accuracy	17.346780770614558	#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))
accuracy	0	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x)
accuracy	0	(log.f64 x)
accuracy	12.344318966218088	#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x))
accuracy	0	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x)
accuracy	0	(log1p.f64 (fabs.f64 x))
accuracy	0	(fabs.f64 x)
accuracy	12.092102160324071	#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x)))

Samples

22.0ms	132×	0	invalid
14.0ms	71×	0	valid
10.0ms	53×	1	exit

Compiler

Compiled 196 to 19 computations (90.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-fabs: 5.0ms (16.4% of total)

ival-log: 5.0ms (16.4% of total)

ival-hypot: 4.0ms (13.1% of total)

ival-mult: 3.0ms (9.8% of total)

adjust: 2.0ms (6.5% of total)

ival-div: 2.0ms (6.5% of total)

ival-copysign: 2.0ms (6.5% of total)

ival-add: 2.0ms (6.5% of total)

ival-sub: 2.0ms (6.5% of total)

ival-log1p: 2.0ms (6.5% of total)

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

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

exact: 0.0ms (0% of total)

series190.0ms (3%)

Memory

2.3MiB live, 241.3MiB allocated

Counts

20 → 240

Calls

Call 1

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

Outputs
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor 0 x) (#s(alt (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x) (patch (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x) #<representation binary64>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor 0 x) (#s(alt (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x) (patch (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x) #<representation binary64>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor 0 x) (#s(alt (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x) (patch (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x) #<representation binary64>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor 0 x) (#s(alt (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x) (patch (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x) #<representation binary64>) () ())) ())
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#s(alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x))) (taylor -inf x) (#s(alt (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) (patch (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x))) (taylor -inf x) (#s(alt (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) (patch (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) #<representation binary64>) () ())) ())
#s(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))) (taylor -inf x) (#s(alt (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) (patch (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x)) (patch #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (fabs x) x))))) (taylor -inf x) (#s(alt #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x)) (patch #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x))))) (taylor -inf x) (#s(alt #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x)) (patch #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x))))) (taylor -inf x) (#s(alt #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x)) (patch #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (-.f64 (fabs.f64 x) x) (patch (-.f64 (fabs.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (fabs x) x))))) (taylor -inf x) (#s(alt (-.f64 (fabs.f64 x) x) (patch (-.f64 (fabs.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (fabs x) x))))) (taylor -inf x) (#s(alt (-.f64 (fabs.f64 x) x) (patch (-.f64 (fabs.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (fabs x) x))))) (taylor -inf x) (#s(alt (-.f64 (fabs.f64 x) x) (patch (-.f64 (fabs.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor -inf x) (#s(alt (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) x) (patch (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ ( x x) 1)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))) x) #<representation binary64>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor -inf x) (#s(alt (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) x) (patch (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ ( x x) 1)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))) x) #<representation binary64>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor -inf x) (#s(alt (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) x) (patch (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ ( x x) 1)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))) x) #<representation binary64>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor -inf x) (#s(alt (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) x) (patch (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ ( x x) 1)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (/ -1 x))) (taylor -inf x) (#s(alt (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) (patch (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ ( x x) 1)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x))) (taylor -inf x) (#s(alt (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) (patch (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ ( x x) 1)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x))) (taylor -inf x) (#s(alt (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) (patch (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ ( x x) 1)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(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))) (taylor -inf x) (#s(alt (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) (patch (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ ( x x) 1)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64)))) (patch (+.f64 (fabs.f64 x) #s(approx (sqrt (+ ( x x) 1)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (fabs x) x))))) (taylor -inf x) (#s(alt (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64)))) (patch (+.f64 (fabs.f64 x) #s(approx (sqrt (+ ( x x) 1)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x))))) (taylor -inf x) (#s(alt (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64)))) (patch (+.f64 (fabs.f64 x) #s(approx (sqrt (+ ( x x) 1)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x))))) (taylor -inf x) (#s(alt (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64)))) (patch (+.f64 (fabs.f64 x) #s(approx (sqrt (+ ( x x) 1)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor -inf x) (#s(alt (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) x) (patch (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) x) #<representation binary64>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor -inf x) (#s(alt (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) x) (patch (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) x) #<representation binary64>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor -inf x) (#s(alt (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) x) (patch (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) x) #<representation binary64>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor -inf x) (#s(alt (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) x) (patch (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (/ -1 x))) (taylor -inf x) (#s(alt (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) (patch (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x))) (taylor -inf x) (#s(alt (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) (patch (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x))) (taylor -inf x) (#s(alt (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) (patch (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) #<representation binary64>) () ())) ())
#s(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))) (taylor -inf x) (#s(alt (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) (patch (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))) (patch (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (fabs x) x))))) (taylor -inf x) (#s(alt (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))) (patch (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x))))) (taylor -inf x) (#s(alt (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))) (patch (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x))))) (taylor -inf x) (#s(alt (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))) (patch (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt #s(approx (sqrt (+ (* x x) 1)) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (patch #s(approx (sqrt (+ ( x x) 1)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt #s(approx (sqrt (+ (* x x) 1)) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (patch #s(approx (sqrt (+ ( x x) 1)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))) (taylor -inf x) (#s(alt #s(approx (sqrt (+ (* x x) 1)) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (patch #s(approx (sqrt (+ ( x x) 1)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))) (taylor -inf x) (#s(alt #s(approx (sqrt (+ (* x x) 1)) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (patch #s(approx (sqrt (+ ( x x) 1)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) (patch #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) (patch #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))) (taylor -inf x) (#s(alt #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) (patch #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))) (taylor -inf x) (#s(alt #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) (patch #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) #<representation binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

98.0ms

-inf

((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log (+ 1 (fabs x))) (fabs x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (- (fabs x) x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (* x x) (sqrt (+ (* x x) 1)))

57.0ms

((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log (+ 1 (fabs x))) (fabs x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (- (fabs x) x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (* x x) (sqrt (+ (* x x) 1)))

23.0ms

inf

((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log (+ 1 (fabs x))) (fabs x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (- (fabs x) x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (* x x) (sqrt (+ (* x x) 1)))

simplify274.0ms (4.4%)

Memory

20.4MiB live, 266.3MiB allocated

Algorithm

1×	egg-herbie

Rules

24 054×	`lower-fma.f64`
24 054×	`lower-fma.f32`
4 848×	`lower-*.f64`
4 848×	`lower-*.f32`
4 042×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	173	3032
1	490	2897
2	1512	2864
3	5274	2709
0	8286	2488

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 235

Calls

Call 1

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

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

rewrite308.0ms (4.9%)

Memory

-34.0MiB live, 206.6MiB allocated

Rules

5 790×	`lower-fma.f32`
5 788×	`lower-fma.f64`
4 362×	`lower-/.f32`
4 360×	`lower-/.f64`
3 850×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	244
0	53	244
1	159	244
2	1108	232
0	8515	217

Stop Event

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

Counts

20 → 166

Calls

Call 1

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

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

eval102.0ms (1.6%)

Memory: 13.8MiB live, 86.9MiB allocated
Compiler: Compiled 9 256 to 1 059 computations (88.6% saved)

prune40.0ms (0.6%)

Memory

1.8MiB live, 46.9MiB allocated

Pruning

12 alts after pruning (7 fresh and 5 done)

	Pruned	Kept	Total
New	450	2	452
Fresh	1	5	6
Picked	0	5	5
Done	0	0	0
Total	451	12	463

Accuracy

100.0%

Counts

463 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	5.9%	(copysign.f64 (neg.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 x x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))) x)
	31.1%	(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
✓	9.6%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))) x)
✓	28.8%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) x)
▶	28.7%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) x)
▶	20.6%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))) x)
✓	29.3%	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) x)
▶	29.0%	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))) x)
▶	2.7%	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64))) x)
▶	48.7%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x (log1p.f64 (fabs.f64 x)))) x)
✓	62.1%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x)
✓	9.5%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x)

Compiler

Compiled 206 to 152 computations (26.2% saved)

simplify68.0ms (1.1%)

Memory

10.0MiB live, 44.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Rules

944×	`lower-fma.f32`
942×	`lower-fma.f64`
632×	`lower-*.f32`
630×	`lower-*.f64`
334×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	303
0	57	303
1	72	303
2	91	303
3	107	303
4	124	303
5	184	303
6	250	303
7	410	303
8	841	303
9	1210	303
10	1537	303
11	1798	303
12	1888	303
13	1965	303
14	2004	303
15	2010	303
0	2010	287

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x (log1p.f64 (fabs.f64 x)))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x (log1p.f64 (fabs.f64 x))))
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x (log1p.f64 (fabs.f64 x)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x)
(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
#s(literal 1/2 binary64)
(+.f64 #s(literal 1 binary64) (fabs.f64 x))
#s(literal 1 binary64)
(fabs.f64 x)
x
(log1p.f64 (fabs.f64 x))
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64))) x)
(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64))
#s(literal 0 binary64)
x
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))) x)
(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))
(+.f64 (fabs.f64 x) x)
(fabs.f64 x)
x
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))) x)
(log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))))
(+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))
(fabs.f64 x)
x
#s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))
#s(literal 1 binary64)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) x)
(log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))))
(+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))
(fabs.f64 x)
x
#s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))
(-.f64 x (/.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)

Outputs
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x (log1p.f64 (fabs.f64 x)))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (/.f64 x (-.f64 (fabs.f64 x) #s(literal -1 binary64))) x) #s(literal 1/2 binary64) (log1p.f64 (fabs.f64 x)))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x (log1p.f64 (fabs.f64 x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (/.f64 x (-.f64 (fabs.f64 x) #s(literal -1 binary64))) x) #s(literal 1/2 binary64) (log1p.f64 (fabs.f64 x))))
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x (log1p.f64 (fabs.f64 x)))
(fma.f64 (*.f64 (/.f64 x (-.f64 (fabs.f64 x) #s(literal -1 binary64))) x) #s(literal 1/2 binary64) (log1p.f64 (fabs.f64 x)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x)
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (fabs.f64 x) #s(literal -1 binary64))) x)
(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(/.f64 #s(literal 1/2 binary64) (-.f64 (fabs.f64 x) #s(literal -1 binary64)))
#s(literal 1/2 binary64)
(+.f64 #s(literal 1 binary64) (fabs.f64 x))
(-.f64 (fabs.f64 x) #s(literal -1 binary64))
#s(literal 1 binary64)
(fabs.f64 x)
x
(log1p.f64 (fabs.f64 x))
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64))) x)
(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64))
#s(literal 0 binary64)
x
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))) x)
(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))
(+.f64 (fabs.f64 x) x)
(fabs.f64 x)
x
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))) x)
(copysign.f64 (log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)) (fabs.f64 x))) x)
(log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)) (fabs.f64 x)))
(+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))
(+.f64 #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)) (fabs.f64 x))
(fabs.f64 x)
x
#s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))
#s(literal 1 binary64)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) x)
(copysign.f64 (log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))) (fabs.f64 x))) x)
(log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))))
(log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))) (fabs.f64 x)))
(+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))
(+.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))) (fabs.f64 x))
(fabs.f64 x)
x
#s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))
(-.f64 x (/.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)

localize127.0ms (2%)

Memory

-1.3MiB live, 72.1MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))
accuracy	0	(fabs.f64 x)
accuracy	12.703915231749177	(log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))))
accuracy	30.838037880316428	#s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))
accuracy	0	(+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))
accuracy	0	(fabs.f64 x)
accuracy	12.703915231749177	(log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))))
accuracy	32.91960124501737	#s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))
accuracy	0	(+.f64 (fabs.f64 x) x)
accuracy	0	(fabs.f64 x)
accuracy	12.703915231749177	(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x)))
accuracy	30.678203002834774	#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))
accuracy	0	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64))) x)
accuracy	12.703915231749177	(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64)))
accuracy	47.53684036818944	#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64))
accuracy	0.00390625	(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x (log1p.f64 (fabs.f64 x)))
accuracy	0.015625	(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
accuracy	0.09765625	(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x)
accuracy	32.80028425624171	#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x (log1p.f64 (fabs.f64 x))))

Samples

44.0ms	142×	0	valid
15.0ms	61×	1	exit
14.0ms	22×	2	valid
11.0ms	31×	1	valid

Compiler

Compiled 229 to 21 computations (90.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 65.0ms

ival-div: 25.0ms (38.5% of total)

ival-log: 10.0ms (15.4% of total)

adjust: 7.0ms (10.8% of total)

ival-hypot: 6.0ms (9.2% of total)

ival-add: 5.0ms (7.7% of total)

ival-mult: 3.0ms (4.6% of total)

ival-log1p: 3.0ms (4.6% of total)

ival-copysign: 2.0ms (3.1% of total)

ival-fabs: 2.0ms (3.1% of total)

ival-sub: 1.0ms (1.5% of total)

exact: 1.0ms (1.5% of total)

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

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

series19.0ms (0.3%)

Memory

16.0MiB live, 16.0MiB allocated

Counts

21 → 252

Calls

Call 1

Inputs
#s(alt (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x (log1p.f64 (fabs.f64 x)))) x) (patch (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x (log1p.f64 (fabs.f64 x)))) x) #<representation binary64>) () ())
#s(alt #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x (log1p.f64 (fabs.f64 x)))) (patch #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x (log1p.f64 (fabs.f64 x)))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x (log1p.f64 (fabs.f64 x))) (patch (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x (log1p.f64 (fabs.f64 x))) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) (patch (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) #<representation binary64>) () ())
#s(alt (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64))) x) (patch (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64))) x) #<representation binary64>) () ())
#s(alt (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64))) (patch (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64)) (patch #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64)) #<representation binary64>) () ())
#s(alt (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))) x) (patch (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))) x) #<representation binary64>) () ())
#s(alt (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))) (patch (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))) #<representation binary64>) () ())
#s(alt #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x)) (patch #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x)) #<representation binary64>) () ())
#s(alt (+.f64 (fabs.f64 x) x) (patch (+.f64 (fabs.f64 x) x) #<representation binary64>) () ())
#s(alt (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))) x) (patch (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))) x) #<representation binary64>) () ())
#s(alt (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))) (patch (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))) (patch (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fabs.f64 x) (patch (fabs.f64 x) #<representation binary64>) () ())
#s(alt (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) x) (patch (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) x) #<representation binary64>) () ())
#s(alt (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) (patch (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) #<representation binary64>) () ())
#s(alt (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))) (patch (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (patch (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #<representation binary64>) () ())
#s(alt #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)) (patch #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))) (patch #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))) #<representation binary64>) () ())

Outputs
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor 0 x) (#s(alt (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x (log1p.f64 (fabs.f64 x)))) x) (patch (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x (log1p.f64 (fabs.f64 x)))) x) #<representation binary64>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor 0 x) (#s(alt (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x (log1p.f64 (fabs.f64 x)))) x) (patch (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x (log1p.f64 (fabs.f64 x)))) x) #<representation binary64>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor 0 x) (#s(alt (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x (log1p.f64 (fabs.f64 x)))) x) (patch (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x (log1p.f64 (fabs.f64 x)))) x) #<representation binary64>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor 0 x) (#s(alt (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x (log1p.f64 (fabs.f64 x)))) x) (patch (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x (log1p.f64 (fabs.f64 x)))) x) #<representation binary64>) () ())) ())
#s(alt (log (+ 1 (fabs x))) (taylor 0 x) (#s(alt #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x (log1p.f64 (fabs.f64 x)))) (patch #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x (log1p.f64 (fabs.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) (taylor 0 x) (#s(alt #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x (log1p.f64 (fabs.f64 x)))) (patch #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x (log1p.f64 (fabs.f64 x)))) #<representation binary64>) () ())) ())
#s(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))))))) (taylor 0 x) (#s(alt #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x (log1p.f64 (fabs.f64 x)))) (patch #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x (log1p.f64 (fabs.f64 x)))) #<representation binary64>) () ())) ())
#s(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))))))) (taylor 0 x) (#s(alt #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x (log1p.f64 (fabs.f64 x)))) (patch #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x (log1p.f64 (fabs.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (log (+ 1 (fabs x))) (taylor 0 x) (#s(alt (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x (log1p.f64 (fabs.f64 x))) (patch (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x (log1p.f64 (fabs.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) (taylor 0 x) (#s(alt (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x (log1p.f64 (fabs.f64 x))) (patch (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x (log1p.f64 (fabs.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) (taylor 0 x) (#s(alt (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x (log1p.f64 (fabs.f64 x))) (patch (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x (log1p.f64 (fabs.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) (taylor 0 x) (#s(alt (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x (log1p.f64 (fabs.f64 x))) (patch (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x (log1p.f64 (fabs.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x (+ 1 (fabs x)))) (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) (patch (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x (+ 1 (fabs x)))) (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) (patch (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x (+ 1 (fabs x)))) (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) (patch (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x (+ 1 (fabs x)))) (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) (patch (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) #<representation binary64>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor 0 x) (#s(alt (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64))) x) (patch (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor 0 x) (#s(alt (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64))) x) (patch (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor 0 x) (#s(alt (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64))) x) (patch (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor 0 x) (#s(alt (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64))) x) (patch (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (log (+ 1 (fabs x))) (taylor 0 x) (#s(alt (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64))) (patch (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) (taylor 0 x) (#s(alt (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64))) (patch (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))) (taylor -inf x) (#s(alt #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))) (patch #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))) #<representation binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

4.0ms

((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (* (/ 1/2 (+ 1 (fabs x))) x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (fabs x) x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (fabs x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (/ 1/2 (+ 1 (fabs x))) (sqrt (+ (* x x) 1)) (sqrt (+ (* x x) 1)))

3.0ms

-inf

((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (* (/ 1/2 (+ 1 (fabs x))) x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (fabs x) x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (fabs x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (/ 1/2 (+ 1 (fabs x))) (sqrt (+ (* x x) 1)) (sqrt (+ (* x x) 1)))

3.0ms

inf

((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (* (/ 1/2 (+ 1 (fabs x))) x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (fabs x) x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (fabs x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (/ 1/2 (+ 1 (fabs x))) (sqrt (+ (* x x) 1)) (sqrt (+ (* x x) 1)))

simplify271.0ms (4.4%)

Memory

-36.2MiB live, 211.5MiB allocated

Algorithm

1×	egg-herbie

Rules

13 438×	`lower-fma.f64`
13 438×	`lower-fma.f32`
5 438×	`lower-*.f64`
5 438×	`lower-*.f32`
2 468×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	177	3389
1	505	3253
2	1558	3214
3	5372	3025
0	8194	2792

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 244

Calls

Call 1

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

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

rewrite159.0ms (2.5%)

Memory

5.8MiB live, 285.3MiB allocated

Rules

8 298×	`lower-fma.f32`
8 296×	`lower-fma.f64`
3 560×	`lower-/.f32`
3 556×	`lower-/.f64`
3 492×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	272
0	57	263
1	174	263
2	1232	260
0	8521	244

Stop Event

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

Counts

21 → 220

Calls

Call 1

Inputs
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x (log1p.f64 (fabs.f64 x)))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x (log1p.f64 (fabs.f64 x))))
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x (log1p.f64 (fabs.f64 x)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x)
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64))) x)
(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64))
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))) x)
(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))
(+.f64 (fabs.f64 x) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))) x)
(log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))))
(+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))
(fabs.f64 x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) x)
(log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))))
(+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))
(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
#s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))
#s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))

Outputs
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (/.f64 x #s(literal 2 binary64)) (log1p.f64 (fabs.f64 x)))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (/.f64 x #s(literal 2 binary64)) (log1p.f64 (fabs.f64 x))))
(.f64 (-.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (log1p.f64 (fabs.f64 x)) (.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))))
(.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (fabs.f64 x)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (neg.f64 x) x) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x)))))
(.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) #s(literal -2 binary64)) #s(literal -3 binary64)) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (log1p.f64 (fabs.f64 x)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (log1p.f64 (fabs.f64 x)) (-.f64 (log1p.f64 (fabs.f64 x)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x)) (pow.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x) #s(literal 2 binary64))))))
(.f64 (-.f64 (pow.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (fabs.f64 x)) #s(literal 2 binary64))) (pow.f64 (-.f64 (.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x) (log1p.f64 (fabs.f64 x))) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 (.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) #s(literal -2 binary64)) #s(literal -3 binary64)) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (log1p.f64 (fabs.f64 x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) #s(literal -2 binary64)) #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64)) (.f64 (/.f64 #s(literal -1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (.f64 (.f64 x x) (log1p.f64 (fabs.f64 x))))))))
(.f64 (fma.f64 (pow.f64 (.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) #s(literal -2 binary64)) #s(literal -3 binary64)) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (log1p.f64 (fabs.f64 x)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (log1p.f64 (fabs.f64 x)) (-.f64 (log1p.f64 (fabs.f64 x)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x)) (pow.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (/.f64 x #s(literal 2 binary64)) (log1p.f64 (fabs.f64 x))))
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(/.f64 (-.f64 (.f64 (.f64 x x) (-.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) (.f64 (-.f64 (fabs.f64 x) #s(approx (sqrt (+ ( x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))) (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))) #s(literal 2 binary64)))) (.f64 (-.f64 (fabs.f64 x) #s(approx (sqrt (+ ( x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))) (-.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))))
(/.f64 (-.f64 (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))) #s(literal 2 binary64)) (.f64 x x)) (-.f64 #s(approx (sqrt (+ ( x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))) (fabs.f64 x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))) #s(literal 3 binary64))) (neg.f64 (+.f64 (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))) #s(literal 2 binary64)) (-.f64 (.f64 x x) (.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))) (fabs.f64 x))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))) #s(literal 3 binary64))) (neg.f64 (fma.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))) (-.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))) (fabs.f64 x)) (*.f64 x x))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 #s(approx (sqrt (+ ( x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))) (fabs.f64 x)))))
(/.f64 (-.f64 (.f64 x x) (pow.f64 #s(approx (sqrt (+ ( x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))) #s(literal 2 binary64))) (-.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))))
(/.f64 (+.f64 (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))) #s(literal 2 binary64)) (-.f64 (.f64 x x) (.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))) (fabs.f64 x)))))
(/.f64 (+.f64 (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))) (-.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))) (fabs.f64 x)) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))) (fabs.f64 x)) (-.f64 (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))) #s(literal 2 binary64)) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))) #s(literal 2 binary64)) (-.f64 (.f64 x x) (.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))) (fabs.f64 x)))) (+.f64 (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))) (fabs.f64 x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))) (fabs.f64 x))))
(fma.f64 (fabs.f64 x) #s(literal 1 binary64) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))
(fma.f64 #s(literal 1 binary64) (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))
(fma.f64 (.f64 x x) (pow.f64 (-.f64 (fabs.f64 x) #s(approx (sqrt (+ ( x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))) #s(literal 2 binary64)) (-.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))))))
(-.f64 (/.f64 (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))) #s(literal 2 binary64)) (-.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))) (fabs.f64 x))) (/.f64 (.f64 x x) (-.f64 #s(approx (sqrt (+ ( x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))) (fabs.f64 x))))
(-.f64 (/.f64 (.f64 x x) (-.f64 (fabs.f64 x) #s(approx (sqrt (+ ( x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) (/.f64 (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))) #s(literal 2 binary64)) (-.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))))
(+.f64 (/.f64 (.f64 x x) (-.f64 (fabs.f64 x) #s(approx (sqrt (+ ( x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) (neg.f64 (/.f64 (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))) #s(literal 2 binary64)) (-.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))))))
(+.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))) (fabs.f64 x))
(+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))
(.f64 (pow.f64 (.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) #s(literal -2 binary64)) #s(literal -1/2 binary64)))
(.f64 (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal -1 binary64) (.f64 x x))) (-.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (fabs.f64 x)))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))
(*.f64 (pow.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) #s(literal -1 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))
(pow.f64 (*.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) #s(literal -2 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) #s(literal 2 binary64)))
(/.f64 #s(literal -1/2 binary64) (-.f64 #s(literal -1 binary64) (fabs.f64 x)))
(/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) #s(literal -2 binary64)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))
(neg.f64 (/.f64 #s(literal -1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) #s(literal -2 binary64))) #s(literal -1 binary64)))
#s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))
#s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))

eval89.0ms (1.4%)

Memory: 25.2MiB live, 190.3MiB allocated
Compiler: Compiled 11 075 to 1 282 computations (88.4% saved)

prune61.0ms (1%)

Memory

-27.0MiB live, 49.7MiB allocated

Pruning

12 alts after pruning (3 fresh and 9 done)

	Pruned	Kept	Total
New	531	1	532
Fresh	0	2	2
Picked	1	4	5
Done	0	5	5
Total	532	12	544

Accuracy

100.0%

Counts

544 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	5.9%	(copysign.f64 (neg.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 x x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))) x)
▶	31.1%	(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
✓	9.6%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))) x)
✓	28.8%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) x)
✓	28.7%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) x)
✓	20.6%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))) x)
✓	29.3%	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) x)
✓	29.0%	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))) x)
✓	48.7%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x (log1p.f64 (fabs.f64 x)))) x)
✓	62.1%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x)
✓	9.5%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x)
▶	6.1%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 1/2 binary64)) x))) x)

Compiler

Compiled 134 to 99 computations (26.1% saved)

simplify218.0ms (3.5%)

Memory

0.8MiB live, 317.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 x x (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))))
cost-diff	0	(copysign.f64 (neg.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 x x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))) x)
cost-diff	704	(/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 x x (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))
cost-diff	896	(fma.f64 x x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))
cost-diff	0	(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
cost-diff	0	(+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))
cost-diff	0	(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))
cost-diff	0	(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
cost-diff	0	(.f64 (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 1/2 binary64)) x)
cost-diff	0	#s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 1/2 binary64)) x))
cost-diff	0	#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 1/2 binary64)) x)))
cost-diff	0	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 1/2 binary64)) x))) x)

Rules

23 518×	`lower-fma.f32`
23 514×	`lower-fma.f64`
3 280×	`lower-*.f32`
3 276×	`lower-*.f64`
2 548×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	288
0	57	290
1	89	290
2	128	255
3	186	245
4	236	245
5	401	245
6	799	245
7	2192	245
8	5092	245
9	7954	245
0	8118	236

Stop Event

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

Calls

Call 1

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

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

localize272.0ms (4.4%)

Memory

16.3MiB live, 460.9MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	16.46391579703083	(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
accuracy	26.863297069110804	(log.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 x x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))
accuracy	31.94306305543026	(-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))
accuracy	33.207865707674365	(fma.f64 x x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))
accuracy	0	(+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))
accuracy	0	(fabs.f64 x)
accuracy	16.46391579703083	(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
accuracy	26.917590334224148	(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))
accuracy	0.01171875	(.f64 (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 1/2 binary64)) x)
accuracy	0.015625	(/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
accuracy	28.341285408075688	#s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 1/2 binary64)) x))
accuracy	32.80028425624171	#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 1/2 binary64)) x)))

Samples

144.0ms	200×	1	valid
68.0ms	49×	2	valid
2.0ms	7×	0	valid

Compiler

Compiled 248 to 33 computations (86.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 184.0ms

ival-log: 58.0ms (31.6% of total)

ival-fabs: 24.0ms (13.1% of total)

ival-add: 23.0ms (12.5% of total)

adjust: 23.0ms (12.5% of total)

ival-hypot: 12.0ms (6.5% of total)

ival-copysign: 12.0ms (6.5% of total)

ival-mult: 12.0ms (6.5% of total)

ival-div: 8.0ms (4.4% of total)

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

ival-log1p: 3.0ms (1.6% of total)

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

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

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

exact: 0.0ms (0% of total)

series22.0ms (0.4%)

Memory

7.6MiB live, 44.9MiB allocated

Counts

16 → 192

Calls

Call 1

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

Outputs
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor 0 x) (#s(alt (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 1/2 binary64)) x))) x) (patch (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 1/2 binary64)) x))) x) #<representation binary64>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor 0 x) (#s(alt (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 1/2 binary64)) x))) x) (patch (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 1/2 binary64)) x))) x) #<representation binary64>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor 0 x) (#s(alt (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 1/2 binary64)) x))) x) (patch (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 1/2 binary64)) x))) x) #<representation binary64>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor 0 x) (#s(alt (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 1/2 binary64)) x))) x) (patch (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 1/2 binary64)) x))) x) #<representation binary64>) () ())) ())
#s(alt (log (+ 1 (fabs x))) (taylor 0 x) (#s(alt #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 1/2 binary64)) x))) (patch #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 1/2 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) (taylor 0 x) (#s(alt #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 1/2 binary64)) x))) (patch #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 1/2 binary64)) x))) #<representation binary64>) () ())) ())
#s(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))))))) (taylor 0 x) (#s(alt #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 1/2 binary64)) x))) (patch #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 1/2 binary64)) x))) #<representation binary64>) () ())) ())
#s(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))))))) (taylor 0 x) (#s(alt #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 1/2 binary64)) x))) (patch #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 1/2 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (log (+ 1 (fabs x))) (taylor 0 x) (#s(alt #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 1/2 binary64)) x)) (patch #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 1/2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) (taylor 0 x) (#s(alt #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 1/2 binary64)) x)) (patch #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 1/2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) (taylor 0 x) (#s(alt #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 1/2 binary64)) x)) (patch #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 1/2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) (taylor 0 x) (#s(alt #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 1/2 binary64)) x)) (patch #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 1/2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) (taylor 0 x) (#s(alt (.f64 (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 1/2 binary64)) x) (patch (.f64 (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 1/2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) (taylor 0 x) (#s(alt (.f64 (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 1/2 binary64)) x) (patch (.f64 (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 1/2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) (taylor 0 x) (#s(alt (.f64 (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 1/2 binary64)) x) (patch (.f64 (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 1/2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) (taylor 0 x) (#s(alt (.f64 (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 1/2 binary64)) x) (patch (.f64 (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 1/2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor 0 x) (#s(alt (copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x) (patch (copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x) #<representation binary64>) () ())) ())
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#s(alt (copysign (neg (log (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x) (taylor -inf x) (#s(alt (copysign.f64 (neg.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 x x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))) x) (patch (copysign.f64 (neg.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 x x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))) x) #<representation binary64>) () ())) ())
#s(alt (copysign (neg (log (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x) (taylor -inf x) (#s(alt (copysign.f64 (neg.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 x x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))) x) (patch (copysign.f64 (neg.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 x x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))) x) #<representation binary64>) () ())) ())
#s(alt (copysign (neg (log (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x) (taylor -inf x) (#s(alt (copysign.f64 (neg.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 x x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))) x) (patch (copysign.f64 (neg.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 x x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))) x) #<representation binary64>) () ())) ())
#s(alt (copysign (neg (log (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x) (taylor -inf x) (#s(alt (copysign.f64 (neg.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 x x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))) x) (patch (copysign.f64 (neg.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 x x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))) x) #<representation binary64>) () ())) ())
#s(alt (log (/ -1 x)) (taylor -inf x) (#s(alt (neg.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 x x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))) (patch (neg.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 x x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (fabs x) x)) (* -1 (log (/ -1 x)))) (taylor -inf x) (#s(alt (neg.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 x x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))) (patch (neg.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 x x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (- (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x)) (* -1 (fabs x))) x)) (* -1 (log (/ -1 x)))) (taylor -inf x) (#s(alt (neg.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 x x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))) (patch (neg.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 x x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ (+ (* -2 (pow (fabs x) 3)) (* 3 (fabs x))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x)) (* -1 (fabs x))) x)) (* -1 (log (/ -1 x)))) (taylor -inf x) (#s(alt (neg.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 x x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))) (patch (neg.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 x x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (/ x (+ 1 (fabs x))) (taylor -inf x) (#s(alt (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (patch (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ x (+ 1 (fabs x))) (taylor -inf x) (#s(alt (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (patch (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ x (+ 1 (fabs x))) (taylor -inf x) (#s(alt (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (patch (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ x (+ 1 (fabs x))) (taylor -inf x) (#s(alt (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (patch (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #<representation binary64>) () ())) ())
#s(alt (fabs x) (taylor -inf x) (#s(alt (fabs.f64 x) (patch (fabs.f64 x) #<representation binary64>) () ())) ())
#s(alt (fabs x) (taylor -inf x) (#s(alt (fabs.f64 x) (patch (fabs.f64 x) #<representation binary64>) () ())) ())
#s(alt (fabs x) (taylor -inf x) (#s(alt (fabs.f64 x) (patch (fabs.f64 x) #<representation binary64>) () ())) ())
#s(alt (fabs x) (taylor -inf x) (#s(alt (fabs.f64 x) (patch (fabs.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (patch (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (/ (fabs x) x)))) (taylor -inf x) (#s(alt (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (patch (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))) (taylor -inf x) (#s(alt (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (patch (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) (fabs x)) x))))) (taylor -inf x) (#s(alt (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (patch (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (/ -1 x))) (taylor -inf x) (#s(alt (log.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 x x (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))) (patch (log.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 x x (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (log (/ -1 x))) (/ (fabs x) x)) (taylor -inf x) (#s(alt (log.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 x x (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))) (patch (log.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 x x (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x))) (taylor -inf x) (#s(alt (log.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 x x (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))) (patch (log.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 x x (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1/6 (/ (+ (* -2 (pow (fabs x) 3)) (* 3 (fabs x))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x))) (taylor -inf x) (#s(alt (log.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 x x (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))) (patch (log.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 x x (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))) #<representation binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

6.0ms

inf

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

5.0ms

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

3.0ms

-inf

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

simplify204.0ms (3.3%)

Memory

4.3MiB live, 281.6MiB allocated

Algorithm

1×	egg-herbie

Rules

13 290×	`lower-fma.f64`
13 290×	`lower-fma.f32`
5 164×	`lower-+.f64`
5 164×	`lower-+.f32`
4 638×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	295	2668
1	917	2488
2	2950	2422
0	8167	2248

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 188

Calls

Call 1

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

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

rewrite200.0ms (3.2%)

Memory

-3.1MiB live, 232.5MiB allocated

Rules

6 134×	`lower-fma.f32`
6 128×	`lower-fma.f64`
4 468×	`lower-/.f32`
4 464×	`lower-/.f64`
3 712×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	245
0	57	225
1	194	210
2	1462	209
0	8670	200

Stop Event

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

Counts

16 → 652

Calls

Call 1

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

Outputs
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (.f64 (.f64 x (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (.f64 (.f64 x (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) #s(literal 1/2 binary64))))
#s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (.f64 (.f64 x (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (fabs.f64 x) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (/.f64 (fabs.f64 x) #s(literal 2 binary64)))
(.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(.f64 (/.f64 (.f64 x x) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (.f64 x x) (pow.f64 (-.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal -1 binary64))))
(.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (.f64 x x) (pow.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (fabs.f64 x)) #s(literal -1 binary64))))
(.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))) (/.f64 (.f64 #s(literal 1/2 binary64) x) (pow.f64 (-.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal -1 binary64))))
(.f64 (/.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (.f64 #s(literal 1/2 binary64) x) (pow.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (fabs.f64 x)) #s(literal -1 binary64))))
(.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 x x #s(literal 1 binary64))) (/.f64 x (pow.f64 (-.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal -1 binary64))))
(.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 x (pow.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (fabs.f64 x)) #s(literal -1 binary64))))
(.f64 (.f64 (*.f64 #s(literal 1/2 binary64) x) x) (pow.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal -1/2 binary64) (*.f64 x x)) (pow.f64 (fma.f64 #s(literal -1 binary64) (fabs.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) (*.f64 x x)) (pow.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (neg.f64 x) (*.f64 #s(literal 1/2 binary64) x)) (pow.f64 (fma.f64 #s(literal -1 binary64) (fabs.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))))
(.f64 (.f64 x (*.f64 #s(literal 1/2 binary64) x)) (pow.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 x (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(*.f64 (/.f64 (neg.f64 x) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (/.f64 (neg.f64 x) #s(literal 2 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))))
(.f64 (pow.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) x) (pow.f64 x #s(literal -1 binary64))))
(.f64 (pow.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (.f64 x x) #s(literal 2 binary64)))
(.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (/.f64 (.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))
(*.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (/.f64 x #s(literal 2 binary64)))
(.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (.f64 #s(literal 1/2 binary64) x))
(.f64 (.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) #s(literal 1/2 binary64)) x)
(.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (.f64 x x))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x x) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 x x)))
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x))
(.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))
(.f64 x (.f64 (pow.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) x)))
(.f64 x (.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) x)) (fma.f64 #s(literal -1 binary64) (fabs.f64 x) #s(literal -1 binary64)))
(/.f64 (neg.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x))) (neg.f64 (fma.f64 #s(literal -1 binary64) (fabs.f64 x) #s(literal -1 binary64))))
(/.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x))) (fma.f64 #s(literal -1 binary64) (fabs.f64 x) #s(literal -1 binary64)))
(/.f64 (neg.f64 (.f64 (neg.f64 x) (.f64 #s(literal 1/2 binary64) x))) (neg.f64 (fma.f64 #s(literal -1 binary64) (fabs.f64 x) #s(literal -1 binary64))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x))) (neg.f64 (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)))
(/.f64 (neg.f64 (.f64 x (.f64 #s(literal 1/2 binary64) x))) (fma.f64 #s(literal -1 binary64) (fabs.f64 x) #s(literal -1 binary64)))
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) x) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) (fma.f64 #s(literal -1 binary64) (fabs.f64 x) #s(literal -1 binary64)))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))
(/.f64 (.f64 (neg.f64 x) (.f64 #s(literal 1/2 binary64) x)) (fma.f64 #s(literal -1 binary64) (fabs.f64 x) #s(literal -1 binary64)))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x))
(/.f64 (.f64 x (.f64 #s(literal 1/2 binary64) x)) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))
(/.f64 (.f64 (neg.f64 x) x) (neg.f64 (.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) x) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (fabs.f64 x) #s(literal -1 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (fabs.f64 x) #s(literal -1 binary64)) (.f64 (neg.f64 x) (.f64 #s(literal 1/2 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x) (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 x (.f64 #s(literal 1/2 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 x x)))
(/.f64 (.f64 x x) (.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))))))
(.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (neg.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))))))))
(*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))))
(*.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 (.f64 x x) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 3 binary64))) (fma.f64 (log.f64 (-.f64 (.f64 x x) (fma.f64 x x #s(literal 1 binary64)))) (log.f64 (-.f64 (.f64 x x) (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 (log.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (log.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (.f64 (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)))) (log.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))))
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(-.f64 (/.f64 (pow.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (.f64 x (+.f64 x (neg.f64 x)))) #s(literal 2 binary64)) (.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) (log1p.f64 (.f64 x (+.f64 x (neg.f64 x)))))))) (/.f64 (pow.f64 (log1p.f64 (.f64 x (+.f64 x (neg.f64 x)))) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (.f64 x (+.f64 x (neg.f64 x)))) #s(literal 2 binary64)) (.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) (log1p.f64 (*.f64 x (+.f64 x (neg.f64 x)))))))))
(-.f64 (log.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 x x (fma.f64 x x #s(literal 1 binary64))) #s(literal -1 binary64)))) (log.f64 (fma.f64 (fabs.f64 x) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 x x #s(literal 1 binary64)))))
(-.f64 (log.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) #s(literal 1 binary64))) (log1p.f64 (.f64 x (+.f64 x (neg.f64 x)))))
(-.f64 (log.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x (fma.f64 x x #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (fabs.f64 x) (fma.f64 x x (fma.f64 x x #s(literal 1 binary64)))) #s(literal 2 binary64)))) (log.f64 (+.f64 (/.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x (fma.f64 x x #s(literal 1 binary64)))) (/.f64 (fabs.f64 x) (fma.f64 x x (fma.f64 x x #s(literal 1 binary64)))))))
(-.f64 (log.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x (fma.f64 x x #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (fabs.f64 x) (fma.f64 x x (fma.f64 x x #s(literal 1 binary64)))) #s(literal 3 binary64)))) (log.f64 (+.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x (fma.f64 x x #s(literal 1 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (fabs.f64 x) (fma.f64 x x (fma.f64 x x #s(literal 1 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x (fma.f64 x x #s(literal 1 binary64)))) (/.f64 (fabs.f64 x) (fma.f64 x x (fma.f64 x x #s(literal 1 binary64)))))))))
(-.f64 (log.f64 (neg.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))))) (log.f64 (neg.f64 (neg.f64 (fma.f64 x x (fma.f64 x x #s(literal 1 binary64)))))))
(-.f64 (log.f64 (.f64 (-.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))) (log.f64 (.f64 (fma.f64 (fabs.f64 x) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x (fma.f64 x x #s(literal 1 binary64))))))
(-.f64 (log.f64 (-.f64 (.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x (fma.f64 x x #s(literal 1 binary64)))) (.f64 (fma.f64 x x (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))) (log.f64 (pow.f64 (fma.f64 x x (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))))
(-.f64 (log.f64 (/.f64 (fma.f64 x x (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x (fma.f64 x x #s(literal 1 binary64))))) (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))))
(-.f64 (log.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))) (log.f64 (neg.f64 (fma.f64 x x (fma.f64 x x #s(literal 1 binary64))))))
(-.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (log.f64 (*.f64 (fma.f64 x x (fma.f64 x x #s(literal 1 binary64))) (fma.f64 (fabs.f64 x) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 x x #s(literal 1 binary64))))))
(-.f64 #s(literal 0 binary64) (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))))
(-.f64 (log1p.f64 (.f64 x (+.f64 x (neg.f64 x)))) (log.f64 (.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 x x (fma.f64 x x #s(literal 1 binary64))))))
(-.f64 (log1p.f64 (.f64 x (+.f64 x (neg.f64 x)))) (log.f64 (.f64 (fma.f64 x x (fma.f64 x x #s(literal 1 binary64))) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))))
(-.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) (log1p.f64 (*.f64 x (+.f64 x (neg.f64 x)))))
(+.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 2 binary64))))) (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)))))
(+.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (log.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x (fma.f64 x x #s(literal 1 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(+.f64 (neg.f64 (log1p.f64 (*.f64 x (+.f64 x (neg.f64 x))))) (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))))
(+.f64 (log.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))) (log.f64 (pow.f64 (neg.f64 (fma.f64 x x (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64))))
(+.f64 #s(literal 0 binary64) (neg.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))))
(+.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) (neg.f64 (log1p.f64 (*.f64 x (+.f64 x (neg.f64 x))))))
(log.f64 (pow.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) #s(literal -1 binary64)))

eval144.0ms (2.3%)

Memory: 5.5MiB live, 277.1MiB allocated
Compiler: Compiled 27 106 to 4 068 computations (85% saved)

prune107.0ms (1.7%)

Memory

13.7MiB live, 137.4MiB allocated

Pruning

20 alts after pruning (10 fresh and 10 done)

	Pruned	Kept	Total
New	912	10	922
Fresh	0	0	0
Picked	2	1	3
Done	0	9	9
Total	914	20	934

Accuracy

100.0%

Counts

934 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	3.7%	(copysign.f64 (neg.f64 (log.f64 #s(approx (/ (- (sqrt (+ (* x x) 1)) (fabs x)) (+ (* x x) (+ (* (neg x) x) 1))) (-.f64 #s(literal 1 binary64) (fabs.f64 x))))) x)
✓	31.1%	(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
✓	9.6%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))) x)
✓	28.8%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) x)
✓	28.7%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) x)
✓	20.6%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))) x)
✓	29.3%	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) x)
✓	29.0%	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))) x)
✓	48.7%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x (log1p.f64 (fabs.f64 x)))) x)
✓	62.1%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x)
✓	9.5%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x)
	5.9%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) x) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) x)
	6.1%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)))) x)
	6.1%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x) (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)))))) x)
	5.9%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) x) x))))) x)
	5.9%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (.f64 x x)))) x)
	6.1%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)) #s(literal 1/2 binary64)) x))) x)
	6.1%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x)
	5.9%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (.f64 (.f64 (*.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 1/2 binary64)) x))) x)
	6.8%	#s(approx (copysign (neg (log (/ (- (sqrt (+ (* x x) 1)) (fabs x)) (+ (* x x) (+ (* (neg x) x) 1))))) x) (copysign.f64 (neg.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))) x))

Compiler

Compiled 564 to 320 computations (43.3% saved)

regimes18.0ms (0.3%)

Memory

-10.9MiB live, 26.6MiB allocated

Counts

25 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

9.0ms	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
7.0ms	x

Results

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

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes16.0ms (0.3%)

Memory

-8.3MiB live, 27.5MiB allocated

Counts

22 → 3

Calls

Call 1

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

Outputs

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

(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x)

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

Calls

2 calls:

9.0ms	x
6.0ms	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)

Results

Accuracy	Segments	Branch
98.6%	3	`x`
98.6%	3	`(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)`

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes12.0ms (0.2%)

Memory

17.4MiB live, 17.4MiB allocated

Counts

18 → 3

Calls

Call 1

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

Outputs

(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) x)

(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x)

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
98.6%	3	`x`
98.6%	3	`(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)`

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes36.0ms (0.6%)

Memory

-31.8MiB live, 26.1MiB allocated

Counts

17 → 3

Calls

Call 1

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

Outputs

(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) x)

(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x)

(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))) x)

Calls

2 calls:

31.0ms	x
5.0ms	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)

Results

Accuracy	Segments	Branch
98.4%	3	`x`
98.4%	3	`(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)`

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes9.0ms (0.1%)

Memory

11.1MiB live, 11.1MiB allocated

Counts

13 → 2

Calls

Call 1

Inputs
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 1/2 binary64)) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (.f64 x x)))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) x) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (.f64 (.f64 (*.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 1/2 binary64)) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)) #s(literal 1/2 binary64)) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) x) x))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x) (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x)
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x)
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))) x)

Outputs
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x)
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))) x)

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
80.2%	2	`x`
80.2%	2	`(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)`

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes9.0ms (0.1%)

Memory

10.5MiB live, 10.5MiB allocated

Counts

12 → 1

Calls

Call 1

Inputs
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 1/2 binary64)) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (.f64 x x)))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) x) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (.f64 (.f64 (*.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 1/2 binary64)) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)) #s(literal 1/2 binary64)) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) x) x))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x) (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x)
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x)

Outputs
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x)

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
62.1%	1	`x`
62.1%	1	`(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)`

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes23.0ms (0.4%)

Memory

-24.5MiB live, 12.3MiB allocated

Counts

11 → 2

Calls

Call 1

Inputs
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 1/2 binary64)) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (.f64 x x)))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) x) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (.f64 (.f64 (*.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 1/2 binary64)) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)) #s(literal 1/2 binary64)) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) x) x))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x) (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x)
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64))) x)

Outputs

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

(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x)

Calls

2 calls:

19.0ms	x
3.0ms	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)

Results

Accuracy	Segments	Branch
13.0%	2	`x`
13.0%	2	`(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)`

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes7.0ms (0.1%)

Memory

14.5MiB live, 14.5MiB allocated

Accuracy

Total -0.1b remaining (-0.2%)

Threshold costs -0.1b (-0.2%)

Counts

9 → 1

Calls

Call 1

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

Outputs

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
6.1%	1	`(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)`
6.1%	1	`x`

Compiler

Compiled 13 to 10 computations (23.1% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	9.406230540399816e-7	4.293028197013867
0.0ms	-2.5434659765812997	-0.09344260966185133

Compiler

Compiled 15 to 13 computations (13.3% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	9.406230540399816e-7	4.293028197013867
0.0ms	-2.5434659765812997	-0.09344260966185133

Compiler

Compiled 15 to 13 computations (13.3% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	9.406230540399816e-7	4.293028197013867
0.0ms	-2.5434659765812997	-0.09344260966185133

Compiler

Compiled 15 to 13 computations (13.3% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	9.406230540399816e-7	4.293028197013867
0.0ms	-2.5434659765812997	-0.09344260966185133

Compiler

Compiled 15 to 13 computations (13.3% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	9.406230540399816e-7	4.293028197013867

Compiler

Compiled 15 to 13 computations (13.3% saved)

bsearch43.0ms (0.7%)

Memory

-14.2MiB live, 21.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
41.0ms	9.406230540158354e-7	36.58704837158701

Samples

36.0ms

144×

valid

Compiler

Compiled 186 to 164 computations (11.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-copysign: 28.0ms (84.5% of total)

ival-log: 2.0ms (6% of total)

ival-hypot: 2.0ms (6% of total)

ival-add: 1.0ms (3% of total)

ival-fabs: 1.0ms (3% of total)

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

exact: 0.0ms (0% of total)

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

simplify64.0ms (1%)

Memory

13.3MiB live, 49.1MiB allocated

Algorithm

1×	egg-herbie

Rules

24×	`+-commutative-binary64-+.f64`
12×	`-commutative-binary64-.f64`
12×	`sub-neg-binary64-neg.f64-+.f64--.f64`
6×	`neg-sub0-binary64--.f64-neg.f64`
6×	`neg-mul-1-binary64-*.f64-neg.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	498
1	92	498
2	103	498
3	109	498
4	113	498
5	114	498

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal -2 binary64)) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ ( x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal 4722366482869645/4722366482869645213696 binary64)) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x)))) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ ( x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal -2 binary64)) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ ( x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal 4722366482869645/4722366482869645213696 binary64)) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (log1p.f64 (fabs.f64 x))) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal -2 binary64)) (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ ( x x) 1))) (-.f64 (fabs.f64 x) x))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal 4722366482869645/4722366482869645213696 binary64)) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (log1p.f64 (fabs.f64 x))) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal -2 binary64)) (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ ( x x) 1))) (-.f64 (fabs.f64 x) x))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal 4722366482869645/4722366482869645213696 binary64)) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (log1p.f64 (fabs.f64 x))) x) (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal 4722366482869645/4722366482869645213696 binary64)) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (log1p.f64 (fabs.f64 x))) x) (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))) x))
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x)
(if (<=.f64 x #s(literal 7926335344172073/72057594037927936 binary64)) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x))
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x)

Outputs
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal -2 binary64)) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ ( x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal 4722366482869645/4722366482869645213696 binary64)) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x)))) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ ( x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 x x))) (fabs.f64 x))) x) #s(literal -2 binary64)) (copysign.f64 (log.f64 (+.f64 #s(approx (sqrt (+ ( x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) (fabs.f64 x))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 x x))) (fabs.f64 x))) x) #s(literal 4722366482869645/4722366482869645213696 binary64)) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (log1p.f64 (fabs.f64 x)))) x) (copysign.f64 (log.f64 (+.f64 #s(approx (sqrt (+ ( x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))) (fabs.f64 x))) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal -2 binary64)) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ ( x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal 4722366482869645/4722366482869645213696 binary64)) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (log1p.f64 (fabs.f64 x))) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 x x))) (fabs.f64 x))) x) #s(literal -2 binary64)) (copysign.f64 (log.f64 (+.f64 #s(approx (sqrt (+ ( x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) (fabs.f64 x))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 x x))) (fabs.f64 x))) x) #s(literal 4722366482869645/4722366482869645213696 binary64)) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (log1p.f64 (fabs.f64 x))) x) (copysign.f64 (log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))) (fabs.f64 x))) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal -2 binary64)) (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ ( x x) 1))) (-.f64 (fabs.f64 x) x))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal 4722366482869645/4722366482869645213696 binary64)) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (log1p.f64 (fabs.f64 x))) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 x x))) (fabs.f64 x))) x) #s(literal -2 binary64)) (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ ( x x) 1))) (-.f64 (fabs.f64 x) x))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 x x))) (fabs.f64 x))) x) #s(literal 4722366482869645/4722366482869645213696 binary64)) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (log1p.f64 (fabs.f64 x))) x) (copysign.f64 (log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))) (fabs.f64 x))) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal -2 binary64)) (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ ( x x) 1))) (-.f64 (fabs.f64 x) x))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal 4722366482869645/4722366482869645213696 binary64)) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (log1p.f64 (fabs.f64 x))) x) (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 x x))) (fabs.f64 x))) x) #s(literal -2 binary64)) (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ ( x x) 1))) (-.f64 (fabs.f64 x) x))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 x x))) (fabs.f64 x))) x) #s(literal 4722366482869645/4722366482869645213696 binary64)) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (log1p.f64 (fabs.f64 x))) x) (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal 4722366482869645/4722366482869645213696 binary64)) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (log1p.f64 (fabs.f64 x))) x) (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))) x))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 x x))) (fabs.f64 x))) x) #s(literal 4722366482869645/4722366482869645213696 binary64)) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (log1p.f64 (fabs.f64 x))) x) (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))) x))
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x)
(if (<=.f64 x #s(literal 7926335344172073/72057594037927936 binary64)) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x))
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x)

soundness1.3s (21.1%)

Memory

18.7MiB live, 734.9MiB allocated

Rules

24 610×	`lower-fma.f64`
24 610×	`lower-fma.f32`
24 054×	`lower-fma.f64`
24 054×	`lower-fma.f32`
13 438×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	295	2668
1	917	2488
2	2950	2422
0	8167	2248
0	173	3032
1	490	2897
2	1512	2864
3	5274	2709
0	8286	2488
0	177	3389
1	505	3253
2	1558	3214
3	5372	3025
0	8194	2792
0	169	818
1	490	790
2	1513	777
3	5415	727
0	8408	671

Stop Event

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

Compiler

Compiled 444 to 166 computations (62.6% saved)

preprocess76.0ms (1.2%)

Memory: -11.0MiB live, 180.8MiB allocated
Compiler: Compiled 684 to 162 computations (76.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	33	272
0	53	272
1	67	272
2	75	272
3	85	272
4	101	272
5	153	272
6	215	272
7	291	272
8	430	272
9	608	272
10	696	272
11	763	272
12	804	272
13	816	272
0	816	257

Iter	Nodes	Cost
0	33	272
0	53	272
1	67	272
2	75	272
3	85	272
4	101	272
5	153	272
6	215	272
7	291	272
8	430	272
9	608	272
10	696	272
11	763	272
12	804	272
13	816	272
0	816	257

start0.0ms (0%)

analyze0.0ms (0%)

sample476.0ms (7.6%)

explain217.0ms (3.5%)

preprocess12.0ms (0.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify9.0ms (0.1%)

localize63.0ms (1%)

series7.0ms (0.1%)

simplify322.0ms (5.2%)

rewrite300.0ms (4.8%)

eval83.0ms (1.3%)

prune100.0ms (1.6%)

simplify65.0ms (1%)

localize66.0ms (1.1%)

series190.0ms (3%)

simplify274.0ms (4.4%)

rewrite308.0ms (4.9%)

eval102.0ms (1.6%)

prune40.0ms (0.6%)

simplify68.0ms (1.1%)

localize127.0ms (2%)

series19.0ms (0.3%)

simplify271.0ms (4.4%)

rewrite159.0ms (2.5%)

eval89.0ms (1.4%)

prune61.0ms (1%)

simplify218.0ms (3.5%)

localize272.0ms (4.4%)

series22.0ms (0.4%)

simplify204.0ms (3.3%)

rewrite200.0ms (3.2%)

eval144.0ms (2.3%)

prune107.0ms (1.7%)

regimes18.0ms (0.3%)

regimes16.0ms (0.3%)

regimes12.0ms (0.2%)

regimes36.0ms (0.6%)

regimes9.0ms (0.1%)

regimes9.0ms (0.1%)

regimes23.0ms (0.4%)

regimes7.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch43.0ms (0.7%)

simplify64.0ms (1%)

soundness1.3s (21.1%)

preprocess76.0ms (1.2%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	33	272
0	53	272
1	67	272
2	75	272
3	85	272
4	101	272
5	153	272
6	215	272
7	291	272
8	430	272
9	608	272
10	696	272
11	763	272
12	804	272
13	816	272
0	816	257