Metrics for Rust f32::acosh

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	25%	75%	0%	0%	0%	0
100%	25%	0%	75%	0%	0%	0%	1

Compiler

Compiled 6 to 5 computations (16.7% saved)

sample619.0ms (9.2%)

Memory

-2.1MiB live, 662.6MiB allocated

Samples

401.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 219.0ms

ival-acosh: 159.0ms (72.8% of total)

ival->=: 48.0ms (22% of total)

exact: 8.0ms (3.7% of total)

ival-assert: 4.0ms (1.8% of total)

Bogosity

explain112.0ms (1.7%)

Memory

17.7MiB live, 188.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
127	-	-	`(sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))`
2	-	-	`(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))`
0	-	-	`(-.f32 (*.f32 x x) #s(literal 1 binary32))`
0	-	-	`(*.f32 x x)`
0	-	-	`#s(literal 1 binary32)`
0	-	-	`(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f32`	`(sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))`	oflow-rescue	127	0
↳	`(*.f32 x x)`	overflow	127
↳	`(-.f32 (*.f32 x x) #s(literal 1 binary32))`	overflow	127
`log.f32`	`(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))`	oflow-rescue	2	0
↳	`(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))`	overflow	2
↳	`(*.f32 x x)`	overflow	127
↳	`(-.f32 (*.f32 x x) #s(literal 1 binary32))`	overflow	127

Confusion

	Predicted +	Predicted -
+	127	0
-	0	129

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	127	0	0
-	0	0	129

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	129
1	125
2	2

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

37.0ms

512×

valid

Compiler

Compiled 112 to 32 computations (71.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-log: 12.0ms (47% of total)

ival-mult: 4.0ms (15.7% of total)

ival-sqrt: 4.0ms (15.7% of total)

ival-sub: 3.0ms (11.7% of total)

ival-add: 3.0ms (11.7% of total)

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

exact: 0.0ms (0% of total)

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

preprocess319.0ms (4.7%)

Memory

0.8MiB live, 264.7MiB allocated

Algorithm

1×	egg-herbie

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	7	9
0	12	9
1	21	9
2	25	9
3	40	9
4	71	9
5	132	9
6	292	9
7	572	9
8	2045	9
9	3155	9
10	4433	9
11	5106	9
12	5408	9
13	5593	9
14	5695	9
15	6014	9
16	6560	9
17	7671	9
0	8091	8

Stop Event

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

Calls

Call 1

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

Outputs
(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))

Compiler

Compiled 9 to 7 computations (22.2% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.6%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify282.0ms (4.2%)

Memory

9.0MiB live, 246.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	33
0	12	33
1	21	33
2	25	33
3	40	33
4	71	33
5	132	33
6	292	33
7	572	33
8	2045	33
9	3155	33
10	4433	33
11	5106	33
12	5408	33
13	5593	33
14	5695	33
15	6014	33
16	6560	33
17	7671	33
0	8091	29

Stop Event

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

Calls

Call 1

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

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

localize44.0ms (0.7%)

Memory

4.7MiB live, 43.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(-.f32 (*.f32 x x) #s(literal 1 binary32))
accuracy	0.0234375	(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
accuracy	0.24551595525320707	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
accuracy	13.704118964545128	(sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))

Samples

38.0ms

256×

valid

Compiler

Compiled 68 to 16 computations (76.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-log: 3.0ms (31.3% of total)

ival-mult: 2.0ms (20.9% of total)

ival-sqrt: 2.0ms (20.9% of total)

ival-sub: 1.0ms (10.4% of total)

ival-add: 1.0ms (10.4% of total)

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Memory

12.2MiB live, 12.2MiB allocated

Counts

4 → 48

Calls

Call 1

Inputs
#s(alt #<batchref> (patch (-.f32 (*.f32 x x) #s(literal 1 binary32)) #<representation binary32>) () ())
#s(alt #<batchref> (patch (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) #<representation binary32>) () ())
#s(alt #<batchref> (patch (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) #<representation binary32>) () ())
#s(alt #<batchref> (patch (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))) #<representation binary32>) () ())

Outputs
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f32 (*.f32 x x) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f32 (*.f32 x x) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f32 (*.f32 x x) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f32 (*.f32 x x) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (-.f32 (*.f32 x x) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (-.f32 (*.f32 x x) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (-.f32 (*.f32 x x) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (-.f32 (*.f32 x x) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f32 (*.f32 x x) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f32 (*.f32 x x) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f32 (*.f32 x x) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f32 (*.f32 x x) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))) #<representation binary32>) () ())) ())

Calls

3 calls:

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

Time

Variable

Point

Expression

2.0ms

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

1.0ms

-inf

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

1.0ms

inf

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

simplify266.0ms (3.9%)

Memory

-33.5MiB live, 245.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	150	559
1	411	533
2	1146	526
3	3331	488
4	7980	488
0	8533	459

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 47

Calls

Call 1

Inputs
-1
(- (pow x 2) 1)
(- (pow x 2) 1)
(- (pow x 2) 1)
(log (sqrt -1))
(+ (log (sqrt -1)) (/ x (sqrt -1)))
(+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))
(+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))
(sqrt -1)
(+ x (sqrt -1))
(+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))
(+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))
(sqrt -1)
(+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1))))
(+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))
(+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))
(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))))
(+ (log 2) (* -1 (log (/ 1 x))))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(* 2 x)
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
x
(* x (- 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(+ (log -1/2) (log (/ -1 x)))
(+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
(/ 1/2 x)
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x))
(* -1 x)
(* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))
(* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))

Outputs
#s(literal -1 binary32)
(fma.f32 x x #s(literal -1 binary32))
(fma.f32 x x #s(literal -1 binary32))
(fma.f32 x x #s(literal -1 binary32))
(log.f32 (sqrt.f32 #s(literal -1 binary32)))
(+.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32))))
(fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/6 binary32) #s(literal 1 binary32)) (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (*.f32 #s(literal 3/40 binary32) x) (/.f32 x (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))) (/.f32 #s(literal 1/6 binary32) (sqrt.f32 #s(literal -1 binary32)))) (+.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32)))))
(sqrt.f32 #s(literal -1 binary32))
(+.f32 (sqrt.f32 #s(literal -1 binary32)) x)
(fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) x #s(literal 1 binary32)) x (sqrt.f32 #s(literal -1 binary32)))
(fma.f32 (fma.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)) x (sqrt.f32 #s(literal -1 binary32)))
(sqrt.f32 #s(literal -1 binary32))
(fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) x) x (sqrt.f32 #s(literal -1 binary32)))
(fma.f32 (.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) x) (fma.f32 (.f32 x x) #s(literal 1/8 binary32) #s(literal 1/2 binary32)) (sqrt.f32 #s(literal -1 binary32)))
(fma.f32 (fma.f32 #s(literal 1/16 binary32) (/.f32 (pow.f32 x #s(literal 4 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))) (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32))) (fma.f32 #s(literal 1/8 binary32) (.f32 x x) #s(literal 1/2 binary32)))) (*.f32 x x) (sqrt.f32 #s(literal -1 binary32)))
(*.f32 x x)
(fma.f32 x x #s(literal -1 binary32))
(fma.f32 x x #s(literal -1 binary32))
(fma.f32 x x #s(literal -1 binary32))
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))
(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (*.f32 x x)) #s(literal 1/4 binary32)) x) x))
(-.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 5/96 binary32) (.f32 x x)) #s(literal 3/32 binary32)) (pow.f32 x #s(literal 4 binary32))) (log.f32 x)))
(*.f32 #s(literal 2 binary32) x)
(fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x))
(fma.f32 #s(literal 2 binary32) x (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x))
(fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 4 binary32)))) x (/.f32 #s(literal -1/2 binary32) x))
x
(-.f32 x (/.f32 #s(literal 1/2 binary32) x))
(-.f32 x (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal 1/2 binary32)) x))
(fma.f32 (/.f32 (-.f32 #s(literal -1/8 binary32) (/.f32 #s(literal 1/16 binary32) (*.f32 x x))) (pow.f32 x #s(literal 4 binary32))) x (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))
(*.f32 x x)
(fma.f32 x x #s(literal -1 binary32))
(fma.f32 x x #s(literal -1 binary32))
(fma.f32 x x #s(literal -1 binary32))
(+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (log.f32 #s(literal -1/2 binary32)))
(+.f32 (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (log.f32 #s(literal -1/2 binary32)))
(+.f32 (+.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (log.f32 (/.f32 #s(literal -1 binary32) x))) (log.f32 #s(literal -1/2 binary32)))
(+.f32 (+.f32 (+.f32 (+.f32 (/.f32 #s(literal 5/96 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) (log.f32 (/.f32 #s(literal -1 binary32) x))) (log.f32 #s(literal -1/2 binary32)))
(/.f32 #s(literal 1/2 binary32) x)
(/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal 1/2 binary32)) x)
(-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 (-.f32 #s(literal -1/8 binary32) (/.f32 #s(literal 1/16 binary32) (*.f32 x x))) (pow.f32 x #s(literal 3 binary32))))
(-.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 5/128 binary32) (*.f32 x x)) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 5 binary32))) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 3 binary32)))) (/.f32 #s(literal -1/2 binary32) x))
(neg.f32 x)
(-.f32 (/.f32 #s(literal 1/2 binary32) x) x)
(-.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal 1/2 binary32)) x) x)
(fma.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 4 binary32))) x (-.f32 (/.f32 #s(literal 1/2 binary32) x) x))

rewrite156.0ms (2.3%)

Memory

37.8MiB live, 226.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	28
0	12	28
1	49	28
2	322	28
3	3626	28
0	8646	24

Stop Event

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

Counts

4 → 320

Calls

Call 1

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

Outputs
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eval48.0ms (0.7%)

Memory: -13.1MiB live, 114.4MiB allocated
Compiler: Compiled 8 345 to 1 580 computations (81.1% saved)

prune11.0ms (0.2%)

Memory

-5.1MiB live, 33.9MiB allocated

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	360	7	367
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	360	8	368

Accuracy

100.0%

Counts

368 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	28.4%	(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))
✓	53.6%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
▶	53.6%	(log.f32 (+.f32 x (sqrt.f32 (+.f32 (.f32 (+.f32 #s(literal 1 binary32) x) x) (.f32 (+.f32 #s(literal 1 binary32) x) #s(literal -1 binary32))))))
▶	98.2%	(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))))
▶	0.6%	(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x))))
▶	97.5%	(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x)))
	97.9%	#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))))
	97.2%	#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))))

Compiler

Compiled 215 to 161 computations (25.1% saved)

simplify346.0ms (5.1%)

Memory

14.9MiB live, 263.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(log.f32 (+.f32 x (sqrt.f32 (+.f32 (.f32 (+.f32 #s(literal 1 binary32) x) x) (.f32 (+.f32 #s(literal 1 binary32) x) #s(literal -1 binary32))))))
cost-diff	64	(*.f32 (+.f32 #s(literal 1 binary32) x) x)
cost-diff	160	(*.f32 (+.f32 #s(literal 1 binary32) x) #s(literal -1 binary32))
cost-diff	192	(+.f32 (.f32 (+.f32 #s(literal 1 binary32) x) x) (.f32 (+.f32 #s(literal 1 binary32) x) #s(literal -1 binary32)))
cost-diff	0	(fma.f32 x x #s(literal -1 binary32))
cost-diff	0	(sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))
cost-diff	0	(+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)
cost-diff	0	(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))
cost-diff	0	(/.f32 #s(literal -1/2 binary32) x)
cost-diff	0	(fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x))
cost-diff	0	#s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x)))
cost-diff	0	(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x))))
cost-diff	0	(*.f32 #s(literal 2 binary32) x)
cost-diff	0	#s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x))
cost-diff	0	(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x)))
cost-diff	0	(-.f32 x (/.f32 #s(literal 1/2 binary32) x))
cost-diff	0	#s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))
cost-diff	0	(+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))))
cost-diff	0	(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	218
0	53	183
1	77	182
2	103	182
3	151	181
4	266	181
5	601	181
6	2058	181
7	3275	181
8	4705	181
9	5325	181
10	5638	181
11	5729	181
12	5804	181
13	6166	181
14	7310	181
15	7833	181
0	8024	180

Stop Event

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

Calls

Call 1

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

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

localize227.0ms (3.4%)

Memory

-21.1MiB live, 92.7MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0234375	(+.f32 x (sqrt.f32 (+.f32 (.f32 (+.f32 #s(literal 1 binary32) x) x) (.f32 (+.f32 #s(literal 1 binary32) x) #s(literal -1 binary32)))))
accuracy	0.0625	(+.f32 (.f32 (+.f32 #s(literal 1 binary32) x) x) (.f32 (+.f32 #s(literal 1 binary32) x) #s(literal -1 binary32)))
accuracy	0.24551595525320707	(log.f32 (+.f32 x (sqrt.f32 (+.f32 (.f32 (+.f32 #s(literal 1 binary32) x) x) (.f32 (+.f32 #s(literal 1 binary32) x) #s(literal -1 binary32))))))
accuracy	13.704118964545128	(sqrt.f32 (+.f32 (.f32 (+.f32 #s(literal 1 binary32) x) x) (.f32 (+.f32 #s(literal 1 binary32) x) #s(literal -1 binary32))))
accuracy	0.0234375	(+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)
accuracy	0.24551595525320707	(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))
accuracy	13.704118964545128	(sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))
accuracy	31.445495712637566	(fma.f32 x x #s(literal -1 binary32))
accuracy	0	(/.f32 #s(literal -1/2 binary32) x)
accuracy	0.24551595525320707	(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x))))
accuracy	0.3650783722265024	#s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x)))
accuracy	30.082926877187152	(fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x))
accuracy	0	(*.f32 #s(literal 2 binary32) x)
accuracy	0.24551595525320707	(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x)))
accuracy	0.703072347959342	#s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x))
accuracy	0	(-.f32 x (/.f32 #s(literal 1/2 binary32) x))
accuracy	0.0234375	(+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))))
accuracy	0.24551595525320707	(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))))
accuracy	0.38459837398030805	#s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))

Samples

89.0ms

256×

valid

Compiler

Compiled 403 to 63 computations (84.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 77.0ms

ival-add: 52.0ms (67.1% of total)

ival-log: 7.0ms (9% of total)

ival-mult: 6.0ms (7.7% of total)

ival-sqrt: 5.0ms (6.5% of total)

ival-div: 4.0ms (5.2% of total)

ival-sub: 3.0ms (3.9% of total)

exact: 1.0ms (1.3% of total)

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

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

series16.0ms (0.2%)

Memory

14.9MiB live, 14.9MiB allocated

Counts

21 → 252

Calls

Call 1

Inputs
#s(alt #<batchref> (patch (log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))))) #<representation binary32>) () ())
#s(alt #<batchref> (patch (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))) #<representation binary32>) () ())
#s(alt #<batchref> (patch #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) #<representation binary32>) () ())
#s(alt #<batchref> (patch (-.f32 x (/.f32 #s(literal 1/2 binary32) x)) #<representation binary32>) () ())
#s(alt #<batchref> (patch (log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x))) #<representation binary32>) () ())
#s(alt #<batchref> (patch #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x)) #<representation binary32>) () ())
#s(alt #<batchref> (patch (*.f32 #s(literal 2 binary32) x) #<representation binary32>) () ())
#s(alt #<batchref> (patch (log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x)))) #<representation binary32>) () ())
#s(alt #<batchref> (patch #s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x))) #<representation binary32>) () ())
#s(alt #<batchref> (patch (fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x)) #<representation binary32>) () ())
#s(alt #<batchref> (patch (/.f32 #s(literal -1/2 binary32) x) #<representation binary32>) () ())
#s(alt #<batchref> (patch (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)) #<representation binary32>) () ())
#s(alt #<batchref> (patch (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x) #<representation binary32>) () ())
#s(alt #<batchref> (patch (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) #<representation binary32>) () ())
#s(alt #<batchref> (patch (fma.f32 x x #s(literal -1 binary32)) #<representation binary32>) () ())
#s(alt #<batchref> (patch (+.f32 (.f32 (+.f32 #s(literal 1 binary32) x) x) (.f32 (+.f32 #s(literal 1 binary32) x) #s(literal -1 binary32))) #<representation binary32>) () ())
#s(alt #<batchref> (patch (*.f32 (+.f32 #s(literal 1 binary32) x) #s(literal -1 binary32)) #<representation binary32>) () ())
#s(alt #<batchref> (patch (*.f32 (+.f32 #s(literal 1 binary32) x) x) #<representation binary32>) () ())
#s(alt #<batchref> (patch (log.f32 (+.f32 x (sqrt.f32 (+.f32 (.f32 (+.f32 #s(literal 1 binary32) x) x) (.f32 (+.f32 #s(literal 1 binary32) x) #s(literal -1 binary32)))))) #<representation binary32>) () ())
#s(alt #<batchref> (patch (sqrt.f32 (+.f32 (.f32 (+.f32 #s(literal 1 binary32) x) x) (.f32 (+.f32 #s(literal 1 binary32) x) #s(literal -1 binary32)))) #<representation binary32>) () ())
#s(alt #<batchref> (patch (+.f32 x (sqrt.f32 (+.f32 (.f32 (+.f32 #s(literal 1 binary32) x) x) (.f32 (+.f32 #s(literal 1 binary32) x) #s(literal -1 binary32))))) #<representation binary32>) () ())

Outputs
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f32 x (/.f32 #s(literal 1/2 binary32) x)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f32 x (/.f32 #s(literal 1/2 binary32) x)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f32 x (/.f32 #s(literal 1/2 binary32) x)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f32 x (/.f32 #s(literal 1/2 binary32) x)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f32 #s(literal 2 binary32) x) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f32 #s(literal 2 binary32) x) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f32 #s(literal 2 binary32) x) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f32 #s(literal 2 binary32) x) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f32 #s(literal -1/2 binary32) x) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f32 #s(literal -1/2 binary32) x) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f32 #s(literal -1/2 binary32) x) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f32 #s(literal -1/2 binary32) x) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f32 x x #s(literal -1 binary32)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f32 x x #s(literal -1 binary32)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f32 x x #s(literal -1 binary32)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f32 x x #s(literal -1 binary32)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (+.f32 (.f32 (+.f32 #s(literal 1 binary32) x) x) (.f32 (+.f32 #s(literal 1 binary32) x) #s(literal -1 binary32))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (+.f32 (.f32 (+.f32 #s(literal 1 binary32) x) x) (.f32 (+.f32 #s(literal 1 binary32) x) #s(literal -1 binary32))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (+.f32 (.f32 (+.f32 #s(literal 1 binary32) x) x) (.f32 (+.f32 #s(literal 1 binary32) x) #s(literal -1 binary32))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (+.f32 (.f32 (+.f32 #s(literal 1 binary32) x) x) (.f32 (+.f32 #s(literal 1 binary32) x) #s(literal -1 binary32))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f32 (+.f32 #s(literal 1 binary32) x) #s(literal -1 binary32)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f32 (+.f32 #s(literal 1 binary32) x) #s(literal -1 binary32)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f32 (+.f32 #s(literal 1 binary32) x) #s(literal -1 binary32)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f32 (+.f32 #s(literal 1 binary32) x) #s(literal -1 binary32)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f32 (+.f32 #s(literal 1 binary32) x) x) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f32 (+.f32 #s(literal 1 binary32) x) x) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f32 (+.f32 #s(literal 1 binary32) x) x) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f32 (+.f32 #s(literal 1 binary32) x) x) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (log.f32 (+.f32 x (sqrt.f32 (+.f32 (.f32 (+.f32 #s(literal 1 binary32) x) x) (.f32 (+.f32 #s(literal 1 binary32) x) #s(literal -1 binary32)))))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (log.f32 (+.f32 x (sqrt.f32 (+.f32 (.f32 (+.f32 #s(literal 1 binary32) x) x) (.f32 (+.f32 #s(literal 1 binary32) x) #s(literal -1 binary32)))))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (log.f32 (+.f32 x (sqrt.f32 (+.f32 (.f32 (+.f32 #s(literal 1 binary32) x) x) (.f32 (+.f32 #s(literal 1 binary32) x) #s(literal -1 binary32)))))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (log.f32 (+.f32 x (sqrt.f32 (+.f32 (.f32 (+.f32 #s(literal 1 binary32) x) x) (.f32 (+.f32 #s(literal 1 binary32) x) #s(literal -1 binary32)))))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (sqrt.f32 (+.f32 (.f32 (+.f32 #s(literal 1 binary32) x) x) (.f32 (+.f32 #s(literal 1 binary32) x) #s(literal -1 binary32)))) #<representation binary32>) () ())) ())
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#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f32 #s(literal 2 binary32) x) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f32 #s(literal 2 binary32) x) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f32 #s(literal 2 binary32) x) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f32 #s(literal 2 binary32) x) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f32 #s(literal -1/2 binary32) x) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f32 #s(literal -1/2 binary32) x) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f32 #s(literal -1/2 binary32) x) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f32 #s(literal -1/2 binary32) x) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f32 x x #s(literal -1 binary32)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f32 x x #s(literal -1 binary32)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f32 x x #s(literal -1 binary32)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f32 x x #s(literal -1 binary32)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f32 (.f32 (+.f32 #s(literal 1 binary32) x) x) (.f32 (+.f32 #s(literal 1 binary32) x) #s(literal -1 binary32))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f32 (.f32 (+.f32 #s(literal 1 binary32) x) x) (.f32 (+.f32 #s(literal 1 binary32) x) #s(literal -1 binary32))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f32 (.f32 (+.f32 #s(literal 1 binary32) x) x) (.f32 (+.f32 #s(literal 1 binary32) x) #s(literal -1 binary32))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f32 (.f32 (+.f32 #s(literal 1 binary32) x) x) (.f32 (+.f32 #s(literal 1 binary32) x) #s(literal -1 binary32))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f32 (+.f32 #s(literal 1 binary32) x) #s(literal -1 binary32)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f32 (+.f32 #s(literal 1 binary32) x) #s(literal -1 binary32)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f32 (+.f32 #s(literal 1 binary32) x) #s(literal -1 binary32)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f32 (+.f32 #s(literal 1 binary32) x) #s(literal -1 binary32)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f32 (+.f32 #s(literal 1 binary32) x) x) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f32 (+.f32 #s(literal 1 binary32) x) x) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f32 (+.f32 #s(literal 1 binary32) x) x) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f32 (+.f32 #s(literal 1 binary32) x) x) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (log.f32 (+.f32 x (sqrt.f32 (+.f32 (.f32 (+.f32 #s(literal 1 binary32) x) x) (.f32 (+.f32 #s(literal 1 binary32) x) #s(literal -1 binary32)))))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (log.f32 (+.f32 x (sqrt.f32 (+.f32 (.f32 (+.f32 #s(literal 1 binary32) x) x) (.f32 (+.f32 #s(literal 1 binary32) x) #s(literal -1 binary32)))))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (log.f32 (+.f32 x (sqrt.f32 (+.f32 (.f32 (+.f32 #s(literal 1 binary32) x) x) (.f32 (+.f32 #s(literal 1 binary32) x) #s(literal -1 binary32)))))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (log.f32 (+.f32 x (sqrt.f32 (+.f32 (.f32 (+.f32 #s(literal 1 binary32) x) x) (.f32 (+.f32 #s(literal 1 binary32) x) #s(literal -1 binary32)))))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (sqrt.f32 (+.f32 (.f32 (+.f32 #s(literal 1 binary32) x) x) (.f32 (+.f32 #s(literal 1 binary32) x) #s(literal -1 binary32)))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (sqrt.f32 (+.f32 (.f32 (+.f32 #s(literal 1 binary32) x) x) (.f32 (+.f32 #s(literal 1 binary32) x) #s(literal -1 binary32)))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (sqrt.f32 (+.f32 (.f32 (+.f32 #s(literal 1 binary32) x) x) (.f32 (+.f32 #s(literal 1 binary32) x) #s(literal -1 binary32)))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (sqrt.f32 (+.f32 (.f32 (+.f32 #s(literal 1 binary32) x) x) (.f32 (+.f32 #s(literal 1 binary32) x) #s(literal -1 binary32)))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f32 x (sqrt.f32 (+.f32 (.f32 (+.f32 #s(literal 1 binary32) x) x) (.f32 (+.f32 #s(literal 1 binary32) x) #s(literal -1 binary32))))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f32 x (sqrt.f32 (+.f32 (.f32 (+.f32 #s(literal 1 binary32) x) x) (.f32 (+.f32 #s(literal 1 binary32) x) #s(literal -1 binary32))))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f32 x (sqrt.f32 (+.f32 (.f32 (+.f32 #s(literal 1 binary32) x) x) (.f32 (+.f32 #s(literal 1 binary32) x) #s(literal -1 binary32))))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f32 x (sqrt.f32 (+.f32 (.f32 (+.f32 #s(literal 1 binary32) x) x) (.f32 (+.f32 #s(literal 1 binary32) x) #s(literal -1 binary32))))) #<representation binary32>) () ())) ())

Calls

3 calls:

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

Time

Variable

Point

Expression

3.0ms

-inf

((log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (sqrt (- (* x x) 1)) (- x (/ 1/2 x)) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (* 2 x) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (+ (* 2 x) (/ -1/2 x)) (/ -1/2 x) (log (+ (sqrt (+ (* x x) -1)) x)) (+ (sqrt (+ (* x x) -1)) x) (sqrt (+ (* x x) -1)) (+ (* x x) -1) (+ (* (+ 1 x) x) (* (+ 1 x) -1)) (* (+ 1 x) -1) (* (+ 1 x) x) (log (+ x (sqrt (+ (* (+ 1 x) x) (* (+ 1 x) -1))))) (sqrt (+ (* (+ 1 x) x) (* (+ 1 x) -1))) (+ x (sqrt (+ (* (+ 1 x) x) (* (+ 1 x) -1)))))

2.0ms

inf

((log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (sqrt (- (* x x) 1)) (- x (/ 1/2 x)) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (* 2 x) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (+ (* 2 x) (/ -1/2 x)) (/ -1/2 x) (log (+ (sqrt (+ (* x x) -1)) x)) (+ (sqrt (+ (* x x) -1)) x) (sqrt (+ (* x x) -1)) (+ (* x x) -1) (+ (* (+ 1 x) x) (* (+ 1 x) -1)) (* (+ 1 x) -1) (* (+ 1 x) x) (log (+ x (sqrt (+ (* (+ 1 x) x) (* (+ 1 x) -1))))) (sqrt (+ (* (+ 1 x) x) (* (+ 1 x) -1))) (+ x (sqrt (+ (* (+ 1 x) x) (* (+ 1 x) -1)))))

2.0ms

((log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (sqrt (- (* x x) 1)) (- x (/ 1/2 x)) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (* 2 x) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (+ (* 2 x) (/ -1/2 x)) (/ -1/2 x) (log (+ (sqrt (+ (* x x) -1)) x)) (+ (sqrt (+ (* x x) -1)) x) (sqrt (+ (* x x) -1)) (+ (* x x) -1) (+ (* (+ 1 x) x) (* (+ 1 x) -1)) (* (+ 1 x) -1) (* (+ 1 x) x) (log (+ x (sqrt (+ (* (+ 1 x) x) (* (+ 1 x) -1))))) (sqrt (+ (* (+ 1 x) x) (* (+ 1 x) -1))) (+ x (sqrt (+ (* (+ 1 x) x) (* (+ 1 x) -1)))))

simplify176.0ms (2.6%)

Memory

20.7MiB live, 169.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	169	2620
1	470	2454
2	1284	2341
3	4682	2333
0	8198	2218

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 246

Calls

Call 1

Inputs
(log (sqrt -1))
(+ (log (sqrt -1)) (/ x (sqrt -1)))
(+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))
(+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))
(sqrt -1)
(+ x (sqrt -1))
(+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))
(+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))
(sqrt -1)
(+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1))))
(+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))
(+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))
(/ -1/2 x)
(/ (- (pow x 2) 1/2) x)
(/ (- (pow x 2) 1/2) x)
(/ (- (pow x 2) 1/2) x)
(log (sqrt -1))
(+ (log (sqrt -1)) (/ x (sqrt -1)))
(+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))
(+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))
(sqrt -1)
(+ x (sqrt -1))
(+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))
(+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(log (sqrt -1))
(+ (log (sqrt -1)) (/ x (sqrt -1)))
(+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))
(+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))
(sqrt -1)
(+ x (sqrt -1))
(+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))
(+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))
(/ -1/2 x)
(/ (- (* 2 (pow x 2)) 1/2) x)
(/ (- (* 2 (pow x 2)) 1/2) x)
(/ (- (* 2 (pow x 2)) 1/2) x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(log (sqrt -1))
(+ (log (sqrt -1)) (/ x (sqrt -1)))
(+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))
(+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))
(sqrt -1)
(+ x (sqrt -1))
(+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))
(+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))
(sqrt -1)
(+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1))))
(+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))
(+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))
-1
(- (pow x 2) 1)
(- (pow x 2) 1)
(- (pow x 2) 1)
-1
(- (pow x 2) 1)
(- (pow x 2) 1)
(- (pow x 2) 1)
-1
(- (* -1 x) 1)
(- (* -1 x) 1)
(- (* -1 x) 1)
x
(* x (+ 1 x))
(* x (+ 1 x))
(* x (+ 1 x))
(log (sqrt -1))
(+ (log (sqrt -1)) (/ x (sqrt -1)))
(+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))
(+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))
(sqrt -1)
(+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1))))
(+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))
(+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))
(sqrt -1)
(+ x (sqrt -1))
(+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))
(+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))
(+ (log 2) (* -1 (log (/ 1 x))))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(* 2 x)
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
x
(* x (- 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
x
(* x (- 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (- 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (- 1 (* 1/2 (/ 1 (pow x 2)))))
(+ (log 2) (* -1 (log (/ 1 x))))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(* 2 x)
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(+ (log 2) (* -1 (log (/ 1 x))))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(* 2 x)
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(* 2 x)
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(+ (log 2) (* -1 (log (/ 1 x))))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(* 2 x)
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
x
(* x (- 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* -1 x)
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 (* x (+ 1 (/ 1 x))))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(+ (log 2) (* -1 (log (/ 1 x))))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
x
(* x (- 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(* 2 x)
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(+ (log -1/2) (log (/ -1 x)))
(+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
(/ 1/2 x)
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x))
(* -1 x)
(* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))
(* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))
x
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))
(+ (log -1/2) (log (/ -1 x)))
(+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
(/ 1/2 x)
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(+ (log -1/2) (log (/ -1 x)))
(+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
(/ 1/2 x)
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x))
(* 2 x)
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(+ (log -1/2) (log (/ -1 x)))
(+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
(/ 1/2 x)
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x))
(* -1 x)
(* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))
(* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* -1 x)
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 (* x (+ 1 (/ 1 x))))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(+ (log -1/2) (log (/ -1 x)))
(+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
(* -1 x)
(* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))
(* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))
(/ 1/2 x)
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x))

Outputs
(log.f32 (sqrt.f32 #s(literal -1 binary32)))
(+.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32))))
(fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) (neg.f32 (sqrt.f32 #s(literal -1 binary32)))) #s(literal -1/6 binary32) (+.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32)))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (*.f32 #s(literal 3/40 binary32) x) (/.f32 x (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))) (/.f32 #s(literal 1/6 binary32) (sqrt.f32 #s(literal -1 binary32)))) (+.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32)))))
(sqrt.f32 #s(literal -1 binary32))
(+.f32 (sqrt.f32 #s(literal -1 binary32)) x)
(fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) x #s(literal 1 binary32)) x (sqrt.f32 #s(literal -1 binary32)))
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/8 binary32) x) (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) x #s(literal 1 binary32)) x (sqrt.f32 #s(literal -1 binary32)))
(sqrt.f32 #s(literal -1 binary32))
(fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) x) x (sqrt.f32 #s(literal -1 binary32)))
(fma.f32 (fma.f32 (.f32 #s(literal 1/8 binary32) x) (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) (.f32 x x) (sqrt.f32 #s(literal -1 binary32)))
(fma.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 (.f32 #s(literal 1/16 binary32) x) (/.f32 x (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))) (/.f32 #s(literal 1/8 binary32) (sqrt.f32 #s(literal -1 binary32)))) (fma.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) x) x (sqrt.f32 #s(literal -1 binary32))))
(/.f32 #s(literal -1/2 binary32) x)
(-.f32 x (/.f32 #s(literal 1/2 binary32) x))
(-.f32 x (/.f32 #s(literal 1/2 binary32) x))
(-.f32 x (/.f32 #s(literal 1/2 binary32) x))
(log.f32 (sqrt.f32 #s(literal -1 binary32)))
(+.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32))))
(fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) (neg.f32 (sqrt.f32 #s(literal -1 binary32)))) #s(literal -1/6 binary32) (+.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32)))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (*.f32 #s(literal 3/40 binary32) x) (/.f32 x (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))) (/.f32 #s(literal 1/6 binary32) (sqrt.f32 #s(literal -1 binary32)))) (+.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32)))))
(sqrt.f32 #s(literal -1 binary32))
(+.f32 (sqrt.f32 #s(literal -1 binary32)) x)
(fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) x #s(literal 1 binary32)) x (sqrt.f32 #s(literal -1 binary32)))
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/8 binary32) x) (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) x #s(literal 1 binary32)) x (sqrt.f32 #s(literal -1 binary32)))
(*.f32 #s(literal 2 binary32) x)
(*.f32 #s(literal 2 binary32) x)
(*.f32 #s(literal 2 binary32) x)
(*.f32 #s(literal 2 binary32) x)
(log.f32 (sqrt.f32 #s(literal -1 binary32)))
(+.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32))))
(fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) (neg.f32 (sqrt.f32 #s(literal -1 binary32)))) #s(literal -1/6 binary32) (+.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32)))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (*.f32 #s(literal 3/40 binary32) x) (/.f32 x (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))) (/.f32 #s(literal 1/6 binary32) (sqrt.f32 #s(literal -1 binary32)))) (+.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32)))))
(sqrt.f32 #s(literal -1 binary32))
(+.f32 (sqrt.f32 #s(literal -1 binary32)) x)
(fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) x #s(literal 1 binary32)) x (sqrt.f32 #s(literal -1 binary32)))
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/8 binary32) x) (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) x #s(literal 1 binary32)) x (sqrt.f32 #s(literal -1 binary32)))
(/.f32 #s(literal -1/2 binary32) x)
(fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x))
(fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x))
(fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x))
(/.f32 #s(literal -1/2 binary32) x)
(/.f32 #s(literal -1/2 binary32) x)
(/.f32 #s(literal -1/2 binary32) x)
(/.f32 #s(literal -1/2 binary32) x)
(log.f32 (sqrt.f32 #s(literal -1 binary32)))
(+.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32))))
(fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) (neg.f32 (sqrt.f32 #s(literal -1 binary32)))) #s(literal -1/6 binary32) (+.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32)))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (*.f32 #s(literal 3/40 binary32) x) (/.f32 x (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))) (/.f32 #s(literal 1/6 binary32) (sqrt.f32 #s(literal -1 binary32)))) (+.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32)))))
(sqrt.f32 #s(literal -1 binary32))
(+.f32 (sqrt.f32 #s(literal -1 binary32)) x)
(fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) x #s(literal 1 binary32)) x (sqrt.f32 #s(literal -1 binary32)))
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/8 binary32) x) (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) x #s(literal 1 binary32)) x (sqrt.f32 #s(literal -1 binary32)))
(sqrt.f32 #s(literal -1 binary32))
(fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) x) x (sqrt.f32 #s(literal -1 binary32)))
(fma.f32 (fma.f32 (.f32 #s(literal 1/8 binary32) x) (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) (.f32 x x) (sqrt.f32 #s(literal -1 binary32)))
(fma.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 (.f32 #s(literal 1/16 binary32) x) (/.f32 x (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))) (/.f32 #s(literal 1/8 binary32) (sqrt.f32 #s(literal -1 binary32)))) (fma.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) x) x (sqrt.f32 #s(literal -1 binary32))))
#s(literal -1 binary32)
(fma.f32 x x #s(literal -1 binary32))
(fma.f32 x x #s(literal -1 binary32))
(fma.f32 x x #s(literal -1 binary32))
#s(literal -1 binary32)
(fma.f32 x x #s(literal -1 binary32))
(fma.f32 x x #s(literal -1 binary32))
(fma.f32 x x #s(literal -1 binary32))
#s(literal -1 binary32)
(-.f32 #s(literal -1 binary32) x)
(-.f32 #s(literal -1 binary32) x)
(-.f32 #s(literal -1 binary32) x)
x
(fma.f32 x x x)
(fma.f32 x x x)
(fma.f32 x x x)
(log.f32 (sqrt.f32 #s(literal -1 binary32)))
(+.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32))))
(fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) (neg.f32 (sqrt.f32 #s(literal -1 binary32)))) #s(literal -1/6 binary32) (+.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32)))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (*.f32 #s(literal 3/40 binary32) x) (/.f32 x (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))) (/.f32 #s(literal 1/6 binary32) (sqrt.f32 #s(literal -1 binary32)))) (+.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32)))))
(sqrt.f32 #s(literal -1 binary32))
(fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) x) x (sqrt.f32 #s(literal -1 binary32)))
(fma.f32 (fma.f32 (.f32 #s(literal 1/8 binary32) x) (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) (.f32 x x) (sqrt.f32 #s(literal -1 binary32)))
(fma.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 (.f32 #s(literal 1/16 binary32) x) (/.f32 x (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))) (/.f32 #s(literal 1/8 binary32) (sqrt.f32 #s(literal -1 binary32)))) (fma.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) x) x (sqrt.f32 #s(literal -1 binary32))))
(sqrt.f32 #s(literal -1 binary32))
(+.f32 (sqrt.f32 #s(literal -1 binary32)) x)
(fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) x #s(literal 1 binary32)) x (sqrt.f32 #s(literal -1 binary32)))
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/8 binary32) x) (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) x #s(literal 1 binary32)) x (sqrt.f32 #s(literal -1 binary32)))
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))
(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (*.f32 x x)) #s(literal 1/4 binary32)) x) x))
(-.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 5/96 binary32) (.f32 x x)) #s(literal 3/32 binary32)) (pow.f32 x #s(literal 4 binary32))) (log.f32 x)))
(*.f32 #s(literal 2 binary32) x)
(fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x))
(fma.f32 #s(literal 2 binary32) x (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x))
(fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 4 binary32)))) x (/.f32 #s(literal -1/2 binary32) x))
x
(-.f32 x (/.f32 #s(literal 1/2 binary32) x))
(-.f32 x (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal 1/2 binary32)) x))
(fma.f32 (/.f32 (-.f32 #s(literal -1/8 binary32) (/.f32 #s(literal 1/16 binary32) (*.f32 x x))) (pow.f32 x #s(literal 4 binary32))) x (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))
x
(-.f32 x (/.f32 #s(literal 1/2 binary32) x))
(-.f32 x (/.f32 #s(literal 1/2 binary32) x))
(-.f32 x (/.f32 #s(literal 1/2 binary32) x))
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))
(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (*.f32 x x)) #s(literal 1/4 binary32)) x) x))
(-.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 5/96 binary32) (.f32 x x)) #s(literal 3/32 binary32)) (pow.f32 x #s(literal 4 binary32))) (log.f32 x)))
(*.f32 #s(literal 2 binary32) x)
(fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x))
(fma.f32 #s(literal 2 binary32) x (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x))
(fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 4 binary32)))) x (/.f32 #s(literal -1/2 binary32) x))
(*.f32 #s(literal 2 binary32) x)
(*.f32 #s(literal 2 binary32) x)
(*.f32 #s(literal 2 binary32) x)
(*.f32 #s(literal 2 binary32) x)
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))
(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (*.f32 x x)) #s(literal 1/4 binary32)) x) x))
(-.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 5/96 binary32) (.f32 x x)) #s(literal 3/32 binary32)) (pow.f32 x #s(literal 4 binary32))) (log.f32 x)))
(*.f32 #s(literal 2 binary32) x)
(fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x))
(fma.f32 #s(literal 2 binary32) x (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x))
(fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 4 binary32)))) x (/.f32 #s(literal -1/2 binary32) x))
(*.f32 #s(literal 2 binary32) x)
(fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x))
(fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x))
(fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x))
(/.f32 #s(literal -1/2 binary32) x)
(/.f32 #s(literal -1/2 binary32) x)
(/.f32 #s(literal -1/2 binary32) x)
(/.f32 #s(literal -1/2 binary32) x)
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))
(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (*.f32 x x)) #s(literal 1/4 binary32)) x) x))
(-.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 5/96 binary32) (.f32 x x)) #s(literal 3/32 binary32)) (pow.f32 x #s(literal 4 binary32))) (log.f32 x)))
(*.f32 #s(literal 2 binary32) x)
(fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x))
(fma.f32 #s(literal 2 binary32) x (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x))
(fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 4 binary32)))) x (/.f32 #s(literal -1/2 binary32) x))
x
(-.f32 x (/.f32 #s(literal 1/2 binary32) x))
(-.f32 x (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal 1/2 binary32)) x))
(fma.f32 (/.f32 (-.f32 #s(literal -1/8 binary32) (/.f32 #s(literal 1/16 binary32) (*.f32 x x))) (pow.f32 x #s(literal 4 binary32))) x (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))
(*.f32 x x)
(fma.f32 x x #s(literal -1 binary32))
(fma.f32 x x #s(literal -1 binary32))
(fma.f32 x x #s(literal -1 binary32))
(*.f32 x x)
(fma.f32 x x #s(literal -1 binary32))
(fma.f32 x x #s(literal -1 binary32))
(fma.f32 x x #s(literal -1 binary32))
(neg.f32 x)
(-.f32 #s(literal -1 binary32) x)
(-.f32 #s(literal -1 binary32) x)
(-.f32 #s(literal -1 binary32) x)
(*.f32 x x)
(fma.f32 x x x)
(fma.f32 x x x)
(fma.f32 x x x)
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))
(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (*.f32 x x)) #s(literal 1/4 binary32)) x) x))
(-.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 5/96 binary32) (.f32 x x)) #s(literal 3/32 binary32)) (pow.f32 x #s(literal 4 binary32))) (log.f32 x)))
x
(-.f32 x (/.f32 #s(literal 1/2 binary32) x))
(-.f32 x (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal 1/2 binary32)) x))
(fma.f32 (/.f32 (-.f32 #s(literal -1/8 binary32) (/.f32 #s(literal 1/16 binary32) (*.f32 x x))) (pow.f32 x #s(literal 4 binary32))) x (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))
(*.f32 #s(literal 2 binary32) x)
(fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x))
(fma.f32 #s(literal 2 binary32) x (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x))
(fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 4 binary32)))) x (/.f32 #s(literal -1/2 binary32) x))
(+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (log.f32 #s(literal -1/2 binary32)))
(+.f32 (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (log.f32 #s(literal -1/2 binary32)))
(+.f32 (+.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (log.f32 (/.f32 #s(literal -1 binary32) x))) (log.f32 #s(literal -1/2 binary32)))
(+.f32 (+.f32 (+.f32 (+.f32 (/.f32 #s(literal 5/96 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) (log.f32 (/.f32 #s(literal -1 binary32) x))) (log.f32 #s(literal -1/2 binary32)))
(/.f32 #s(literal 1/2 binary32) x)
(/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal 1/2 binary32)) x)
(-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 (-.f32 #s(literal -1/8 binary32) (/.f32 #s(literal 1/16 binary32) (*.f32 x x))) (pow.f32 x #s(literal 3 binary32))))
(/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 5/128 binary32) (.f32 x x)) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 x x)))) x)
(neg.f32 x)
(-.f32 (/.f32 #s(literal 1/2 binary32) x) x)
(-.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal 1/2 binary32)) x) x)
(fma.f32 x (/.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 4 binary32))) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x))
x
(-.f32 x (/.f32 #s(literal 1/2 binary32) x))
(-.f32 x (/.f32 #s(literal 1/2 binary32) x))
(-.f32 x (/.f32 #s(literal 1/2 binary32) x))
(+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (log.f32 #s(literal -1/2 binary32)))
(+.f32 (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (log.f32 #s(literal -1/2 binary32)))
(+.f32 (+.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (log.f32 (/.f32 #s(literal -1 binary32) x))) (log.f32 #s(literal -1/2 binary32)))
(+.f32 (+.f32 (+.f32 (+.f32 (/.f32 #s(literal 5/96 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) (log.f32 (/.f32 #s(literal -1 binary32) x))) (log.f32 #s(literal -1/2 binary32)))
(/.f32 #s(literal 1/2 binary32) x)
(/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal 1/2 binary32)) x)
(-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 (-.f32 #s(literal -1/8 binary32) (/.f32 #s(literal 1/16 binary32) (*.f32 x x))) (pow.f32 x #s(literal 3 binary32))))
(/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 5/128 binary32) (.f32 x x)) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 x x)))) x)
(*.f32 #s(literal 2 binary32) x)
(*.f32 #s(literal 2 binary32) x)
(*.f32 #s(literal 2 binary32) x)
(*.f32 #s(literal 2 binary32) x)
(+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (log.f32 #s(literal -1/2 binary32)))
(+.f32 (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (log.f32 #s(literal -1/2 binary32)))
(+.f32 (+.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (log.f32 (/.f32 #s(literal -1 binary32) x))) (log.f32 #s(literal -1/2 binary32)))
(+.f32 (+.f32 (+.f32 (+.f32 (/.f32 #s(literal 5/96 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) (log.f32 (/.f32 #s(literal -1 binary32) x))) (log.f32 #s(literal -1/2 binary32)))
(/.f32 #s(literal 1/2 binary32) x)
(/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal 1/2 binary32)) x)
(-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 (-.f32 #s(literal -1/8 binary32) (/.f32 #s(literal 1/16 binary32) (*.f32 x x))) (pow.f32 x #s(literal 3 binary32))))
(/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 5/128 binary32) (.f32 x x)) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 x x)))) x)
(*.f32 #s(literal 2 binary32) x)
(fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x))
(fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x))
(fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x))
(/.f32 #s(literal -1/2 binary32) x)
(/.f32 #s(literal -1/2 binary32) x)
(/.f32 #s(literal -1/2 binary32) x)
(/.f32 #s(literal -1/2 binary32) x)
(+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (log.f32 #s(literal -1/2 binary32)))
(+.f32 (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (log.f32 #s(literal -1/2 binary32)))
(+.f32 (+.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (log.f32 (/.f32 #s(literal -1 binary32) x))) (log.f32 #s(literal -1/2 binary32)))
(+.f32 (+.f32 (+.f32 (+.f32 (/.f32 #s(literal 5/96 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) (log.f32 (/.f32 #s(literal -1 binary32) x))) (log.f32 #s(literal -1/2 binary32)))
(/.f32 #s(literal 1/2 binary32) x)
(/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal 1/2 binary32)) x)
(-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 (-.f32 #s(literal -1/8 binary32) (/.f32 #s(literal 1/16 binary32) (*.f32 x x))) (pow.f32 x #s(literal 3 binary32))))
(/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 5/128 binary32) (.f32 x x)) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 x x)))) x)
(neg.f32 x)
(-.f32 (/.f32 #s(literal 1/2 binary32) x) x)
(-.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal 1/2 binary32)) x) x)
(fma.f32 x (/.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 4 binary32))) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x))
(*.f32 x x)
(fma.f32 x x #s(literal -1 binary32))
(fma.f32 x x #s(literal -1 binary32))
(fma.f32 x x #s(literal -1 binary32))
(*.f32 x x)
(fma.f32 x x #s(literal -1 binary32))
(fma.f32 x x #s(literal -1 binary32))
(fma.f32 x x #s(literal -1 binary32))
(neg.f32 x)
(-.f32 #s(literal -1 binary32) x)
(-.f32 #s(literal -1 binary32) x)
(-.f32 #s(literal -1 binary32) x)
(*.f32 x x)
(fma.f32 x x x)
(fma.f32 x x x)
(fma.f32 x x x)
(+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (log.f32 #s(literal -1/2 binary32)))
(+.f32 (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (log.f32 #s(literal -1/2 binary32)))
(+.f32 (+.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (log.f32 (/.f32 #s(literal -1 binary32) x))) (log.f32 #s(literal -1/2 binary32)))
(+.f32 (+.f32 (+.f32 (+.f32 (/.f32 #s(literal 5/96 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) (log.f32 (/.f32 #s(literal -1 binary32) x))) (log.f32 #s(literal -1/2 binary32)))
(neg.f32 x)
(-.f32 (/.f32 #s(literal 1/2 binary32) x) x)
(-.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal 1/2 binary32)) x) x)
(fma.f32 x (/.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 4 binary32))) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x))
(/.f32 #s(literal 1/2 binary32) x)
(/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal 1/2 binary32)) x)
(-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 (-.f32 #s(literal -1/8 binary32) (/.f32 #s(literal 1/16 binary32) (*.f32 x x))) (pow.f32 x #s(literal 3 binary32))))
(/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 5/128 binary32) (.f32 x x)) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 x x)))) x)

rewrite228.0ms (3.4%)

Memory

-25.9MiB live, 261.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	200
0	53	165
1	203	164
2	1526	164
0	8161	163

Stop Event

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

Counts

21 → 746

Calls

Call 1

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

Outputs
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eval130.0ms (1.9%)

Memory: -16.2MiB live, 224.9MiB allocated
Compiler: Compiled 26 155 to 3 035 computations (88.4% saved)

prune25.0ms (0.4%)

Memory

22.3MiB live, 101.0MiB allocated

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	987	5	992
Fresh	2	0	2
Picked	3	2	5
Done	0	1	1
Total	992	8	1 000

Accuracy

100.0%

Counts

1 000 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	53.6%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
▶	53.6%	(log.f32 (+.f32 x (sqrt.f32 (+.f32 (.f32 (+.f32 #s(literal 1 binary32) x) x) #s(approx ( (+ 1 x) -1) (-.f32 #s(literal -1 binary32) x))))))
✓	98.2%	(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))))
▶	44.1%	(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x)))))
▶	52.5%	(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (/.f32 (+.f32 #s(literal -1/4 binary32) (.f32 x x)) (.f32 x #s(literal 1/2 binary32)))))
▶	98.2%	(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 (/.f32 #s(literal -1/2 binary32) x) (*.f32 #s(literal 2 binary32) x))))
✓	97.5%	(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x)))
▶	97.2%	#s(approx (log (+ (sqrt (+ (* x x) -1)) x)) (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))))

Compiler

Compiled 215 to 164 computations (23.7% saved)

simplify236.0ms (3.5%)

Memory

12.4MiB live, 202.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(log.f32 #s(literal 2 binary32))
cost-diff	0	(log.f32 x)
cost-diff	0	(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))
cost-diff	0	#s(approx (log (+ (sqrt (+ (* x x) -1)) x)) (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))))
cost-diff	0	(sqrt.f32 (+.f32 (.f32 (+.f32 #s(literal 1 binary32) x) x) #s(approx ( (+ 1 x) -1) (-.f32 #s(literal -1 binary32) x))))
cost-diff	0	(+.f32 x (sqrt.f32 (+.f32 (.f32 (+.f32 #s(literal 1 binary32) x) x) #s(approx ( (+ 1 x) -1) (-.f32 #s(literal -1 binary32) x)))))
cost-diff	0	(log.f32 (+.f32 x (sqrt.f32 (+.f32 (.f32 (+.f32 #s(literal 1 binary32) x) x) #s(approx ( (+ 1 x) -1) (-.f32 #s(literal -1 binary32) x))))))
cost-diff	64	(*.f32 (+.f32 #s(literal 1 binary32) x) x)
cost-diff	0	#s(approx (+ x (sqrt (- (* x x) 1))) (/.f32 (+.f32 #s(literal -1/4 binary32) (.f32 x x)) (.f32 x #s(literal 1/2 binary32))))
cost-diff	0	(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (/.f32 (+.f32 #s(literal -1/4 binary32) (.f32 x x)) (.f32 x #s(literal 1/2 binary32)))))
cost-diff	64	(+.f32 #s(literal -1/4 binary32) (*.f32 x x))
cost-diff	160	(/.f32 (+.f32 #s(literal -1/4 binary32) (.f32 x x)) (.f32 x #s(literal 1/2 binary32)))
cost-diff	0	#s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x))
cost-diff	0	#s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x)))
cost-diff	0	(+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x))))
cost-diff	0	(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x)))))
cost-diff	0	(/.f32 #s(literal -1/2 binary32) x)
cost-diff	0	#s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 (/.f32 #s(literal -1/2 binary32) x) (*.f32 #s(literal 2 binary32) x)))
cost-diff	0	(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 (/.f32 #s(literal -1/2 binary32) x) (*.f32 #s(literal 2 binary32) x))))
cost-diff	64	(+.f32 (/.f32 #s(literal -1/2 binary32) x) (*.f32 #s(literal 2 binary32) x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	293
0	68	287
1	95	277
2	121	277
3	159	277
4	242	277
5	439	277
6	775	277
7	2161	277
8	3523	277
0	8124	257

Stop Event

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

Calls

Call 1

Inputs
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 (/.f32 #s(literal -1/2 binary32) x) (*.f32 #s(literal 2 binary32) x))))
#s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 (/.f32 #s(literal -1/2 binary32) x) (*.f32 #s(literal 2 binary32) x)))
(+.f32 (/.f32 #s(literal -1/2 binary32) x) (*.f32 #s(literal 2 binary32) x))
(/.f32 #s(literal -1/2 binary32) x)
#s(literal -1/2 binary32)
x
(*.f32 #s(literal 2 binary32) x)
#s(literal 2 binary32)
(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x)))))
(+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x))))
x
#s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x)))
#s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x))
(/.f32 #s(literal -1/2 binary32) x)
#s(literal -1/2 binary32)
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (/.f32 (+.f32 #s(literal -1/4 binary32) (.f32 x x)) (.f32 x #s(literal 1/2 binary32)))))
#s(approx (+ x (sqrt (- (* x x) 1))) (/.f32 (+.f32 #s(literal -1/4 binary32) (.f32 x x)) (.f32 x #s(literal 1/2 binary32))))
(/.f32 (+.f32 #s(literal -1/4 binary32) (.f32 x x)) (.f32 x #s(literal 1/2 binary32)))
(+.f32 #s(literal -1/4 binary32) (*.f32 x x))
#s(literal -1/4 binary32)
(*.f32 x x)
x
(*.f32 x #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
(log.f32 (+.f32 x (sqrt.f32 (+.f32 (.f32 (+.f32 #s(literal 1 binary32) x) x) #s(approx ( (+ 1 x) -1) (-.f32 #s(literal -1 binary32) x))))))
(+.f32 x (sqrt.f32 (+.f32 (.f32 (+.f32 #s(literal 1 binary32) x) x) #s(approx ( (+ 1 x) -1) (-.f32 #s(literal -1 binary32) x)))))
x
(sqrt.f32 (+.f32 (.f32 (+.f32 #s(literal 1 binary32) x) x) #s(approx ( (+ 1 x) -1) (-.f32 #s(literal -1 binary32) x))))
(+.f32 (.f32 (+.f32 #s(literal 1 binary32) x) x) #s(approx ( (+ 1 x) -1) (-.f32 #s(literal -1 binary32) x)))
(*.f32 (+.f32 #s(literal 1 binary32) x) x)
(+.f32 #s(literal 1 binary32) x)
#s(literal 1 binary32)
#s(approx (* (+ 1 x) -1) (-.f32 #s(literal -1 binary32) x))
(-.f32 #s(literal -1 binary32) x)
#s(literal -1 binary32)
#s(approx (log (+ (sqrt (+ (* x x) -1)) x)) (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))))
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))
(log.f32 x)
x
(log.f32 #s(literal 2 binary32))
#s(literal 2 binary32)

Outputs
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x))))
#s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x)))
(fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x))
(/.f32 #s(literal -1/2 binary32) x)
#s(literal -1/2 binary32)
x
(*.f32 #s(literal 2 binary32) x)
#s(literal 2 binary32)
(log.f32 (+.f32 #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x))) x))
(+.f32 #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x))) x)
x
#s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x)))
#s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x))
(/.f32 #s(literal -1/2 binary32) x)
#s(literal -1/2 binary32)
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x))))
#s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x)))
(fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x))
(fma.f32 x x #s(literal -1/4 binary32))
#s(literal -1/4 binary32)
(*.f32 x x)
x
(*.f32 #s(literal 1/2 binary32) x)
#s(literal 1/2 binary32)
(log.f32 (+.f32 (sqrt.f32 (fma.f32 (-.f32 x #s(literal -1 binary32)) x #s(approx (* (+ 1 x) -1) (-.f32 #s(literal -1 binary32) x)))) x))
(+.f32 (sqrt.f32 (fma.f32 (-.f32 x #s(literal -1 binary32)) x #s(approx (* (+ 1 x) -1) (-.f32 #s(literal -1 binary32) x)))) x)
x
(sqrt.f32 (fma.f32 (-.f32 x #s(literal -1 binary32)) x #s(approx (* (+ 1 x) -1) (-.f32 #s(literal -1 binary32) x))))
(fma.f32 (-.f32 x #s(literal -1 binary32)) x #s(approx (* (+ 1 x) -1) (-.f32 #s(literal -1 binary32) x)))
(fma.f32 x x x)
(-.f32 x #s(literal -1 binary32))
#s(literal 1 binary32)
#s(approx (* (+ 1 x) -1) (-.f32 #s(literal -1 binary32) x))
(-.f32 #s(literal -1 binary32) x)
#s(literal -1 binary32)
#s(approx (log (+ (sqrt (+ (* x x) -1)) x)) (+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x)))
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
(log.f32 x)
x
(log.f32 #s(literal 2 binary32))
#s(literal 2 binary32)

localize208.0ms (3.1%)

Memory

-17.9MiB live, 117.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(log.f32 x)
accuracy	0	(log.f32 #s(literal 2 binary32))
accuracy	0.32421875	(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))
accuracy	0.5820872819579203	#s(approx (log (+ (sqrt (+ (* x x) -1)) x)) (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))))
accuracy	0.0234375	(+.f32 x (sqrt.f32 (+.f32 (.f32 (+.f32 #s(literal 1 binary32) x) x) #s(approx ( (+ 1 x) -1) (-.f32 #s(literal -1 binary32) x)))))
accuracy	0.0625	(+.f32 (.f32 (+.f32 #s(literal 1 binary32) x) x) #s(approx ( (+ 1 x) -1) (-.f32 #s(literal -1 binary32) x)))
accuracy	0.24551595525320707	(log.f32 (+.f32 x (sqrt.f32 (+.f32 (.f32 (+.f32 #s(literal 1 binary32) x) x) #s(approx ( (+ 1 x) -1) (-.f32 #s(literal -1 binary32) x))))))
accuracy	13.704118964545128	(sqrt.f32 (+.f32 (.f32 (+.f32 #s(literal 1 binary32) x) x) #s(approx ( (+ 1 x) -1) (-.f32 #s(literal -1 binary32) x))))
accuracy	0.00390625	(+.f32 #s(literal -1/4 binary32) (*.f32 x x))
accuracy	0.24551595525320707	(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (/.f32 (+.f32 #s(literal -1/4 binary32) (.f32 x x)) (.f32 x #s(literal 1/2 binary32)))))
accuracy	0.3650783722265024	#s(approx (+ x (sqrt (- (* x x) 1))) (/.f32 (+.f32 #s(literal -1/4 binary32) (.f32 x x)) (.f32 x #s(literal 1/2 binary32))))
accuracy	13.566413251733222	(/.f32 (+.f32 #s(literal -1/4 binary32) (.f32 x x)) (.f32 x #s(literal 1/2 binary32)))
accuracy	0.0234375	(+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x))))
accuracy	0.24551595525320707	(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x)))))
accuracy	0.38459837398030805	#s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x)))
accuracy	30.982429005495803	#s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x))
accuracy	0	(+.f32 (/.f32 #s(literal -1/2 binary32) x) (*.f32 #s(literal 2 binary32) x))
accuracy	0	(*.f32 #s(literal 2 binary32) x)
accuracy	0.24551595525320707	(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 (/.f32 #s(literal -1/2 binary32) x) (*.f32 #s(literal 2 binary32) x))))
accuracy	0.3650783722265024	#s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 (/.f32 #s(literal -1/2 binary32) x) (*.f32 #s(literal 2 binary32) x)))

Samples

186.0ms

256×

valid

Compiler

Compiled 492 to 86 computations (82.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 102.0ms

ival-sqrt: 54.0ms (52.8% of total)

ival-mult: 16.0ms (15.6% of total)

ival-log: 11.0ms (10.8% of total)

ival-add: 10.0ms (9.8% of total)

ival-div: 5.0ms (4.9% of total)

ival-sub: 4.0ms (3.9% of total)

exact: 1.0ms (1% of total)

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

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

series266.0ms (3.9%)

Memory

-9.5MiB live, 112.5MiB allocated

Counts

22 → 252

Calls

Call 1

Inputs
#s(alt #<batchref> (patch (+.f32 (/.f32 #s(literal -1/2 binary32) x) (*.f32 #s(literal 2 binary32) x)) #<representation binary32>) () ())
#s(alt #<batchref> (patch (log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 (/.f32 #s(literal -1/2 binary32) x) (*.f32 #s(literal 2 binary32) x)))) #<representation binary32>) () ())
#s(alt #<batchref> (patch #s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 (/.f32 #s(literal -1/2 binary32) x) (*.f32 #s(literal 2 binary32) x))) #<representation binary32>) () ())
#s(alt #<batchref> (patch (/.f32 #s(literal -1/2 binary32) x) #<representation binary32>) () ())
#s(alt #<batchref> (patch (log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x))))) #<representation binary32>) () ())
#s(alt #<batchref> (patch (+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x)))) #<representation binary32>) () ())
#s(alt #<batchref> (patch #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x))) #<representation binary32>) () ())
#s(alt #<batchref> (patch #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x)) #<representation binary32>) () ())
#s(alt #<batchref> (patch (/.f32 (+.f32 #s(literal -1/4 binary32) (.f32 x x)) (.f32 x #s(literal 1/2 binary32))) #<representation binary32>) () ())
#s(alt #<batchref> (patch (+.f32 #s(literal -1/4 binary32) (*.f32 x x)) #<representation binary32>) () ())
#s(alt #<batchref> (patch (log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (/.f32 (+.f32 #s(literal -1/4 binary32) (.f32 x x)) (.f32 x #s(literal 1/2 binary32))))) #<representation binary32>) () ())
#s(alt #<batchref> (patch #s(approx (+ x (sqrt (- (* x x) 1))) (/.f32 (+.f32 #s(literal -1/4 binary32) (.f32 x x)) (.f32 x #s(literal 1/2 binary32)))) #<representation binary32>) () ())
#s(alt #<batchref> (patch (*.f32 (+.f32 #s(literal 1 binary32) x) x) #<representation binary32>) () ())
#s(alt #<batchref> (patch (log.f32 (+.f32 x (sqrt.f32 (+.f32 (.f32 (+.f32 #s(literal 1 binary32) x) x) #s(approx ( (+ 1 x) -1) (-.f32 #s(literal -1 binary32) x)))))) #<representation binary32>) () ())
#s(alt #<batchref> (patch (+.f32 x (sqrt.f32 (+.f32 (.f32 (+.f32 #s(literal 1 binary32) x) x) #s(approx ( (+ 1 x) -1) (-.f32 #s(literal -1 binary32) x))))) #<representation binary32>) () ())
#s(alt #<batchref> (patch (sqrt.f32 (+.f32 (.f32 (+.f32 #s(literal 1 binary32) x) x) #s(approx ( (+ 1 x) -1) (-.f32 #s(literal -1 binary32) x)))) #<representation binary32>) () ())
#s(alt #<batchref> (patch #s(approx (log (+ (sqrt (+ (* x x) -1)) x)) (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))) #<representation binary32>) () ())
#s(alt #<batchref> (patch (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) #<representation binary32>) () ())
#s(alt #<batchref> (patch (log.f32 x) #<representation binary32>) () ())
#s(alt #<batchref> (patch (log.f32 #s(literal 2 binary32)) #<representation binary32>) () ())
#s(alt #<batchref> (patch (*.f32 #s(literal 2 binary32) x) #<representation binary32>) () ())
#s(alt #<batchref> (patch (+.f32 (.f32 (+.f32 #s(literal 1 binary32) x) x) #s(approx ( (+ 1 x) -1) (-.f32 #s(literal -1 binary32) x))) #<representation binary32>) () ())

Outputs
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (+.f32 (/.f32 #s(literal -1/2 binary32) x) (*.f32 #s(literal 2 binary32) x)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (+.f32 (/.f32 #s(literal -1/2 binary32) x) (*.f32 #s(literal 2 binary32) x)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (+.f32 (/.f32 #s(literal -1/2 binary32) x) (*.f32 #s(literal 2 binary32) x)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (+.f32 (/.f32 #s(literal -1/2 binary32) x) (*.f32 #s(literal 2 binary32) x)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 (/.f32 #s(literal -1/2 binary32) x) (*.f32 #s(literal 2 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 (/.f32 #s(literal -1/2 binary32) x) (*.f32 #s(literal 2 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 (/.f32 #s(literal -1/2 binary32) x) (*.f32 #s(literal 2 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 (/.f32 #s(literal -1/2 binary32) x) (*.f32 #s(literal 2 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 (/.f32 #s(literal -1/2 binary32) x) (*.f32 #s(literal 2 binary32) x))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 (/.f32 #s(literal -1/2 binary32) x) (*.f32 #s(literal 2 binary32) x))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 (/.f32 #s(literal -1/2 binary32) x) (*.f32 #s(literal 2 binary32) x))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 (/.f32 #s(literal -1/2 binary32) x) (*.f32 #s(literal 2 binary32) x))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f32 #s(literal -1/2 binary32) x) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f32 #s(literal -1/2 binary32) x) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f32 #s(literal -1/2 binary32) x) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f32 #s(literal -1/2 binary32) x) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x))))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x))))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x))))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x))))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f32 (+.f32 #s(literal -1/4 binary32) (.f32 x x)) (.f32 x #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f32 (+.f32 #s(literal -1/4 binary32) (.f32 x x)) (.f32 x #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f32 (+.f32 #s(literal -1/4 binary32) (.f32 x x)) (.f32 x #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f32 (+.f32 #s(literal -1/4 binary32) (.f32 x x)) (.f32 x #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (+.f32 #s(literal -1/4 binary32) (*.f32 x x)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (+.f32 #s(literal -1/4 binary32) (*.f32 x x)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (+.f32 #s(literal -1/4 binary32) (*.f32 x x)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (+.f32 #s(literal -1/4 binary32) (*.f32 x x)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (/.f32 (+.f32 #s(literal -1/4 binary32) (.f32 x x)) (.f32 x #s(literal 1/2 binary32))))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (/.f32 (+.f32 #s(literal -1/4 binary32) (.f32 x x)) (.f32 x #s(literal 1/2 binary32))))) #<representation binary32>) () ())) ())
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#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f32 #s(literal 2 binary32) x) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f32 #s(literal 2 binary32) x) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f32 #s(literal 2 binary32) x) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f32 #s(literal 2 binary32) x) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f32 (.f32 (+.f32 #s(literal 1 binary32) x) x) #s(approx ( (+ 1 x) -1) (-.f32 #s(literal -1 binary32) x))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f32 (.f32 (+.f32 #s(literal 1 binary32) x) x) #s(approx ( (+ 1 x) -1) (-.f32 #s(literal -1 binary32) x))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f32 (.f32 (+.f32 #s(literal 1 binary32) x) x) #s(approx ( (+ 1 x) -1) (-.f32 #s(literal -1 binary32) x))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f32 (.f32 (+.f32 #s(literal 1 binary32) x) x) #s(approx ( (+ 1 x) -1) (-.f32 #s(literal -1 binary32) x))) #<representation binary32>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

166.0ms

((+ (/ -1/2 x) (* 2 x)) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (/ -1/2 x) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (sqrt (- (* x x) 1)) (- x (/ 1/2 x)) (/ (+ -1/4 (* x x)) (* x 1/2)) (+ -1/4 (* x x)) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (* (+ 1 x) x) (log (+ x (sqrt (+ (* (+ 1 x) x) (* (+ 1 x) -1))))) (+ x (sqrt (+ (* (+ 1 x) x) (* (+ 1 x) -1)))) (sqrt (+ (* (+ 1 x) x) (* (+ 1 x) -1))) (log (+ (sqrt (+ (* x x) -1)) x)) (+ (log x) (log 2)) (log x) (log 2) (* 2 x) (+ (* (+ 1 x) x) (* (+ 1 x) -1)))

75.0ms

-inf

((+ (/ -1/2 x) (* 2 x)) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (/ -1/2 x) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (sqrt (- (* x x) 1)) (- x (/ 1/2 x)) (/ (+ -1/4 (* x x)) (* x 1/2)) (+ -1/4 (* x x)) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (* (+ 1 x) x) (log (+ x (sqrt (+ (* (+ 1 x) x) (* (+ 1 x) -1))))) (+ x (sqrt (+ (* (+ 1 x) x) (* (+ 1 x) -1)))) (sqrt (+ (* (+ 1 x) x) (* (+ 1 x) -1))) (log (+ (sqrt (+ (* x x) -1)) x)) (+ (log x) (log 2)) (log x) (log 2) (* 2 x) (+ (* (+ 1 x) x) (* (+ 1 x) -1)))

15.0ms

inf

((+ (/ -1/2 x) (* 2 x)) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (/ -1/2 x) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (sqrt (- (* x x) 1)) (- x (/ 1/2 x)) (/ (+ -1/4 (* x x)) (* x 1/2)) (+ -1/4 (* x x)) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (* (+ 1 x) x) (log (+ x (sqrt (+ (* (+ 1 x) x) (* (+ 1 x) -1))))) (+ x (sqrt (+ (* (+ 1 x) x) (* (+ 1 x) -1)))) (sqrt (+ (* (+ 1 x) x) (* (+ 1 x) -1))) (log (+ (sqrt (+ (* x x) -1)) x)) (+ (log x) (log 2)) (log x) (log 2) (* 2 x) (+ (* (+ 1 x) x) (* (+ 1 x) -1)))

simplify218.0ms (3.2%)

Memory

28.8MiB live, 97.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	177	2480
1	479	2380
2	1295	2277
3	3822	2201
0	8350	2088

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 247

Calls

Call 1

Inputs
(/ -1/2 x)
(/ (- (* 2 (pow x 2)) 1/2) x)
(/ (- (* 2 (pow x 2)) 1/2) x)
(/ (- (* 2 (pow x 2)) 1/2) x)
(log (sqrt -1))
(+ (log (sqrt -1)) (/ x (sqrt -1)))
(+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))
(+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))
(sqrt -1)
(+ x (sqrt -1))
(+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))
(+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(log (sqrt -1))
(+ (log (sqrt -1)) (/ x (sqrt -1)))
(+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))
(+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))
(sqrt -1)
(+ x (sqrt -1))
(+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))
(+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))
(sqrt -1)
(+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1))))
(+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))
(+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))
(/ -1/2 x)
(/ (- (pow x 2) 1/2) x)
(/ (- (pow x 2) 1/2) x)
(/ (- (pow x 2) 1/2) x)
(/ -1/2 x)
(/ (- (* 2 (pow x 2)) 1/2) x)
(/ (- (* 2 (pow x 2)) 1/2) x)
(/ (- (* 2 (pow x 2)) 1/2) x)
-1/4
(- (pow x 2) 1/4)
(- (pow x 2) 1/4)
(- (pow x 2) 1/4)
(log (sqrt -1))
(+ (log (sqrt -1)) (/ x (sqrt -1)))
(+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))
(+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))
(sqrt -1)
(+ x (sqrt -1))
(+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))
(+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))
x
(* x (+ 1 x))
(* x (+ 1 x))
(* x (+ 1 x))
(log (sqrt -1))
(+ (log (sqrt -1)) (/ x (sqrt -1)))
(+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))
(+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))
(sqrt -1)
(+ x (sqrt -1))
(+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))
(+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))
(sqrt -1)
(+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1))))
(+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))
(+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))
(log (sqrt -1))
(+ (log (sqrt -1)) (/ x (sqrt -1)))
(+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))
(+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))
(+ (log 2) (log x))
(+ (log 2) (log x))
(+ (log 2) (log x))
(+ (log 2) (log x))
(log x)
(log x)
(log x)
(log x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
-1
(- (pow x 2) 1)
(- (pow x 2) 1)
(- (pow x 2) 1)
(* 2 x)
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(+ (log 2) (* -1 (log (/ 1 x))))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(* 2 x)
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(+ (log 2) (* -1 (log (/ 1 x))))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(* 2 x)
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
x
(* x (- 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
x
(* x (- 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (- 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (- 1 (* 1/2 (/ 1 (pow x 2)))))
(* 2 x)
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(pow x 2)
(* (pow x 2) (- 1 (* 1/4 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 1/4 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 1/4 (/ 1 (pow x 2)))))
(+ (log 2) (* -1 (log (/ 1 x))))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(* 2 x)
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(+ (log 2) (* -1 (log (/ 1 x))))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(* 2 x)
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
x
(* x (- 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(+ (log 2) (* -1 (log (/ 1 x))))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (* -1 (log (/ 1 x))))
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(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))))
(* 2 x)
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(+ (log -1/2) (log (/ -1 x)))
(+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
(/ 1/2 x)
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x))
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(+ (log -1/2) (log (/ -1 x)))
(+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
(/ 1/2 x)
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x))
(* -1 x)
(* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))
(* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))
x
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))
(* 2 x)
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(pow x 2)
(* (pow x 2) (- 1 (* 1/4 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 1/4 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 1/4 (/ 1 (pow x 2)))))
(+ (log -1/2) (log (/ -1 x)))
(+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
(/ 1/2 x)
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(+ (log -1/2) (log (/ -1 x)))
(+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
(/ 1/2 x)
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x))
(* -1 x)
(* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))
(* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))
(+ (log -1/2) (log (/ -1 x)))
(+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
(+ (log -1) (+ (log 2) (* -1 (log (/ -1 x)))))
(+ (log -1) (+ (log 2) (* -1 (log (/ -1 x)))))
(+ (log -1) (+ (log 2) (* -1 (log (/ -1 x)))))
(+ (log -1) (+ (log 2) (* -1 (log (/ -1 x)))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(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))))

Outputs
(/.f32 #s(literal -1/2 binary32) x)
(fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x))
(fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x))
(fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x))
(log.f32 (sqrt.f32 #s(literal -1 binary32)))
(+.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32))))
(fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/6 binary32) #s(literal 1 binary32)) (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (*.f32 #s(literal 3/40 binary32) x) (/.f32 x (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))) (/.f32 #s(literal 1/6 binary32) (sqrt.f32 #s(literal -1 binary32)))) (+.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32)))))
(sqrt.f32 #s(literal -1 binary32))
(+.f32 (sqrt.f32 #s(literal -1 binary32)) x)
(fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) x #s(literal 1 binary32)) x (sqrt.f32 #s(literal -1 binary32)))
(fma.f32 (fma.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)) x (sqrt.f32 #s(literal -1 binary32)))
(/.f32 #s(literal -1/2 binary32) x)
(/.f32 #s(literal -1/2 binary32) x)
(/.f32 #s(literal -1/2 binary32) x)
(/.f32 #s(literal -1/2 binary32) x)
(log.f32 (sqrt.f32 #s(literal -1 binary32)))
(+.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32))))
(fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/6 binary32) #s(literal 1 binary32)) (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (*.f32 #s(literal 3/40 binary32) x) (/.f32 x (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))) (/.f32 #s(literal 1/6 binary32) (sqrt.f32 #s(literal -1 binary32)))) (+.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32)))))
(sqrt.f32 #s(literal -1 binary32))
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(-.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 5/128 binary32) (*.f32 x x)) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 5 binary32))) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 3 binary32)))) (/.f32 #s(literal -1/2 binary32) x))
(*.f32 x x)
(fma.f32 x x x)
(fma.f32 x x x)
(fma.f32 x x x)
(+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (log.f32 #s(literal -1/2 binary32)))
(+.f32 (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (log.f32 #s(literal -1/2 binary32)))
(+.f32 (+.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (log.f32 (/.f32 #s(literal -1 binary32) x))) (log.f32 #s(literal -1/2 binary32)))
(+.f32 (+.f32 (+.f32 (+.f32 (/.f32 #s(literal 5/96 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) (log.f32 (/.f32 #s(literal -1 binary32) x))) (log.f32 #s(literal -1/2 binary32)))
(/.f32 #s(literal 1/2 binary32) x)
(/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal 1/2 binary32)) x)
(-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 (-.f32 #s(literal -1/8 binary32) (/.f32 #s(literal 1/16 binary32) (*.f32 x x))) (pow.f32 x #s(literal 3 binary32))))
(-.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 5/128 binary32) (*.f32 x x)) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 5 binary32))) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 3 binary32)))) (/.f32 #s(literal -1/2 binary32) x))
(neg.f32 x)
(-.f32 (/.f32 #s(literal 1/2 binary32) x) x)
(-.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal 1/2 binary32)) x) x)
(fma.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 4 binary32))) x (-.f32 (/.f32 #s(literal 1/2 binary32) x) x))
(+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (log.f32 #s(literal -1/2 binary32)))
(+.f32 (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (log.f32 #s(literal -1/2 binary32)))
(+.f32 (+.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (log.f32 (/.f32 #s(literal -1 binary32) x))) (log.f32 #s(literal -1/2 binary32)))
(+.f32 (+.f32 (+.f32 (+.f32 (/.f32 #s(literal 5/96 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) (log.f32 (/.f32 #s(literal -1 binary32) x))) (log.f32 #s(literal -1/2 binary32)))
(-.f32 (log.f32 #s(literal -1 binary32)) (-.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (log.f32 #s(literal 2 binary32))))
(-.f32 (log.f32 #s(literal -1 binary32)) (-.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (log.f32 #s(literal 2 binary32))))
(-.f32 (log.f32 #s(literal -1 binary32)) (-.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (log.f32 #s(literal 2 binary32))))
(-.f32 (log.f32 #s(literal -1 binary32)) (-.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (log.f32 #s(literal 2 binary32))))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(*.f32 #s(literal 2 binary32) x)
(*.f32 #s(literal 2 binary32) x)
(*.f32 #s(literal 2 binary32) x)
(*.f32 #s(literal 2 binary32) x)
(*.f32 x x)
(fma.f32 x x #s(literal -1 binary32))
(fma.f32 x x #s(literal -1 binary32))
(fma.f32 x x #s(literal -1 binary32))

rewrite460.0ms (6.8%)

Memory

-28.7MiB live, 249.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	256
0	68	248
1	260	240
2	1870	240
0	8829	220

Stop Event

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

Counts

22 → 532

Calls

Call 1

Inputs
(+.f32 (/.f32 #s(literal -1/2 binary32) x) (*.f32 #s(literal 2 binary32) x))
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 (/.f32 #s(literal -1/2 binary32) x) (*.f32 #s(literal 2 binary32) x))))
#s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 (/.f32 #s(literal -1/2 binary32) x) (*.f32 #s(literal 2 binary32) x)))
(/.f32 #s(literal -1/2 binary32) x)
(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x)))))
(+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x))))
#s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x)))
#s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x))
(/.f32 (+.f32 #s(literal -1/4 binary32) (.f32 x x)) (.f32 x #s(literal 1/2 binary32)))
(+.f32 #s(literal -1/4 binary32) (*.f32 x x))
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (/.f32 (+.f32 #s(literal -1/4 binary32) (.f32 x x)) (.f32 x #s(literal 1/2 binary32)))))
#s(approx (+ x (sqrt (- (* x x) 1))) (/.f32 (+.f32 #s(literal -1/4 binary32) (.f32 x x)) (.f32 x #s(literal 1/2 binary32))))
(*.f32 (+.f32 #s(literal 1 binary32) x) x)
(log.f32 (+.f32 x (sqrt.f32 (+.f32 (.f32 (+.f32 #s(literal 1 binary32) x) x) #s(approx ( (+ 1 x) -1) (-.f32 #s(literal -1 binary32) x))))))
(+.f32 x (sqrt.f32 (+.f32 (.f32 (+.f32 #s(literal 1 binary32) x) x) #s(approx ( (+ 1 x) -1) (-.f32 #s(literal -1 binary32) x)))))
(sqrt.f32 (+.f32 (.f32 (+.f32 #s(literal 1 binary32) x) x) #s(approx ( (+ 1 x) -1) (-.f32 #s(literal -1 binary32) x))))
#s(approx (log (+ (sqrt (+ (* x x) -1)) x)) (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))))
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))
(log.f32 x)
(log.f32 #s(literal 2 binary32))
(*.f32 #s(literal 2 binary32) x)
(+.f32 (.f32 (+.f32 #s(literal 1 binary32) x) x) #s(approx ( (+ 1 x) -1) (-.f32 #s(literal -1 binary32) x)))

Outputs
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eval110.0ms (1.6%)

Memory: 32.1MiB live, 146.8MiB allocated
Compiler: Compiled 22 363 to 2 136 computations (90.4% saved)

prune186.0ms (2.8%)

Memory

-189.5MiB live, 82.3MiB allocated

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	814	1	815
Fresh	0	0	0
Picked	2	3	5
Done	0	3	3
Total	816	7	823

Accuracy

100.0%

Counts

823 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	53.6%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
✓	53.6%	(log.f32 (+.f32 x (sqrt.f32 (+.f32 (.f32 (+.f32 #s(literal 1 binary32) x) x) #s(approx ( (+ 1 x) -1) (-.f32 #s(literal -1 binary32) x))))))
✓	98.2%	(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))))
✓	52.5%	(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (/.f32 (+.f32 #s(literal -1/4 binary32) (.f32 x x)) (.f32 x #s(literal 1/2 binary32)))))
✓	98.2%	(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 (/.f32 #s(literal -1/2 binary32) x) (*.f32 #s(literal 2 binary32) x))))
✓	97.5%	(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x)))
▶	98.2%	#s(approx (log (+ (sqrt (+ (* x x) -1)) x)) (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x))))

Compiler

Compiled 107 to 82 computations (23.4% saved)

simplify281.0ms (4.2%)

Memory

10.0MiB live, 272.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(/.f32 #s(literal 1/2 binary32) x)
cost-diff	0	(log.f32 (/.f32 #s(literal 1/2 binary32) x))
cost-diff	0	(neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)))
cost-diff	0	#s(approx (log (+ (sqrt (+ (* x x) -1)) x)) (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	29
0	15	29
1	24	29
2	31	29
3	48	29
4	79	29
5	144	29
6	311	29
7	594	29
8	2102	29
9	3219	29
10	4491	29
11	5179	29
12	5491	29
13	5682	29
14	5784	29
15	6103	29
16	6649	29
17	7760	29
0	8180	28

Stop Event

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

Calls

Call 1

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

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

localize36.0ms (0.5%)

Memory

-18.6MiB live, 63.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(/.f32 #s(literal 1/2 binary32) x)
accuracy	0	(neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)))
accuracy	0.015625	(log.f32 (/.f32 #s(literal 1/2 binary32) x))
accuracy	0.5820872819579203	#s(approx (log (+ (sqrt (+ (* x x) -1)) x)) (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x))))

Samples

22.0ms

256×

valid

Compiler

Compiled 54 to 25 computations (53.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-log: 6.0ms (37.1% of total)

ival-add: 3.0ms (18.5% of total)

ival-div: 2.0ms (12.4% of total)

ival-mult: 2.0ms (12.4% of total)

ival-sqrt: 2.0ms (12.4% of total)

ival-neg: 1.0ms (6.2% of total)

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

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

exact: 0.0ms (0% of total)

series78.0ms (1.2%)

Memory

33.6MiB live, 107.2MiB allocated

Counts

4 → 48

Calls

Call 1

Inputs
#s(alt #<batchref> (patch #s(approx (log (+ (sqrt (+ (* x x) -1)) x)) (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)))) #<representation binary32>) () ())
#s(alt #<batchref> (patch (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x))) #<representation binary32>) () ())
#s(alt #<batchref> (patch (log.f32 (/.f32 #s(literal 1/2 binary32) x)) #<representation binary32>) () ())
#s(alt #<batchref> (patch (/.f32 #s(literal 1/2 binary32) x) #<representation binary32>) () ())

Outputs
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (log (+ (sqrt (+ (* x x) -1)) x)) (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (log (+ (sqrt (+ (* x x) -1)) x)) (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (log (+ (sqrt (+ (* x x) -1)) x)) (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (log (+ (sqrt (+ (* x x) -1)) x)) (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (log.f32 (/.f32 #s(literal 1/2 binary32) x)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (log.f32 (/.f32 #s(literal 1/2 binary32) x)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (log.f32 (/.f32 #s(literal 1/2 binary32) x)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (log.f32 (/.f32 #s(literal 1/2 binary32) x)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f32 #s(literal 1/2 binary32) x) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f32 #s(literal 1/2 binary32) x) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f32 #s(literal 1/2 binary32) x) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f32 #s(literal 1/2 binary32) x) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (log (+ (sqrt (+ (* x x) -1)) x)) (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (log (+ (sqrt (+ (* x x) -1)) x)) (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (log (+ (sqrt (+ (* x x) -1)) x)) (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (log (+ (sqrt (+ (* x x) -1)) x)) (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (log.f32 (/.f32 #s(literal 1/2 binary32) x)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (log.f32 (/.f32 #s(literal 1/2 binary32) x)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (log.f32 (/.f32 #s(literal 1/2 binary32) x)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (log.f32 (/.f32 #s(literal 1/2 binary32) x)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (/.f32 #s(literal 1/2 binary32) x) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (/.f32 #s(literal 1/2 binary32) x) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (/.f32 #s(literal 1/2 binary32) x) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (/.f32 #s(literal 1/2 binary32) x) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (log (+ (sqrt (+ (* x x) -1)) x)) (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (log (+ (sqrt (+ (* x x) -1)) x)) (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (log (+ (sqrt (+ (* x x) -1)) x)) (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (log (+ (sqrt (+ (* x x) -1)) x)) (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (log.f32 (/.f32 #s(literal 1/2 binary32) x)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (log.f32 (/.f32 #s(literal 1/2 binary32) x)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (log.f32 (/.f32 #s(literal 1/2 binary32) x)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (log.f32 (/.f32 #s(literal 1/2 binary32) x)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f32 #s(literal 1/2 binary32) x) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f32 #s(literal 1/2 binary32) x) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f32 #s(literal 1/2 binary32) x) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f32 #s(literal 1/2 binary32) x) #<representation binary32>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

32.0ms

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

32.0ms

inf

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

13.0ms

-inf

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

simplify233.0ms (3.5%)

Memory

-16.1MiB live, 263.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	86	394
1	207	364
2	509	353
3	1209	351
4	2910	351
5	4924	330
6	6933	330
0	8041	327

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

Inputs
(log (sqrt -1))
(+ (log (sqrt -1)) (/ x (sqrt -1)))
(+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))
(+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))
(* -1 (+ (log 1/2) (* -1 (log x))))
(* -1 (+ (log 1/2) (* -1 (log x))))
(* -1 (+ (log 1/2) (* -1 (log x))))
(* -1 (+ (log 1/2) (* -1 (log x))))
(+ (log 1/2) (* -1 (log x)))
(+ (log 1/2) (* -1 (log x)))
(+ (log 1/2) (* -1 (log x)))
(+ (log 1/2) (* -1 (log x)))
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(+ (log 2) (* -1 (log (/ 1 x))))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(* -1 (+ (log 1/2) (log (/ 1 x))))
(* -1 (+ (log 1/2) (log (/ 1 x))))
(* -1 (+ (log 1/2) (log (/ 1 x))))
(* -1 (+ (log 1/2) (log (/ 1 x))))
(+ (log 1/2) (log (/ 1 x)))
(+ (log 1/2) (log (/ 1 x)))
(+ (log 1/2) (log (/ 1 x)))
(+ (log 1/2) (log (/ 1 x)))
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(+ (log -1/2) (log (/ -1 x)))
(+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
(* -1 (+ (log -1/2) (log (/ -1 x))))
(* -1 (+ (log -1/2) (log (/ -1 x))))
(* -1 (+ (log -1/2) (log (/ -1 x))))
(* -1 (+ (log -1/2) (log (/ -1 x))))
(+ (log -1/2) (log (/ -1 x)))
(+ (log -1/2) (log (/ -1 x)))
(+ (log -1/2) (log (/ -1 x)))
(+ (log -1/2) (log (/ -1 x)))
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)

Outputs
(log.f32 (sqrt.f32 #s(literal -1 binary32)))
(+.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32))))
(+.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/6 binary32) x) (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32))))
(fma.f32 (/.f32 (pow.f32 x #s(literal 5 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))) #s(literal 3/40 binary32) (+.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/6 binary32) x) (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32)))))
(-.f32 (log.f32 x) (log.f32 #s(literal 1/2 binary32)))
(-.f32 (log.f32 x) (log.f32 #s(literal 1/2 binary32)))
(-.f32 (log.f32 x) (log.f32 #s(literal 1/2 binary32)))
(-.f32 (log.f32 x) (log.f32 #s(literal 1/2 binary32)))
(-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 x))
(-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 x))
(-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 x))
(-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 x))
(/.f32 #s(literal 1/2 binary32) x)
(/.f32 #s(literal 1/2 binary32) x)
(/.f32 #s(literal 1/2 binary32) x)
(/.f32 #s(literal 1/2 binary32) x)
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))
(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
(-.f32 (/.f32 #s(literal -3/32 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (log.f32 x)) (log.f32 #s(literal 2 binary32))))
(-.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 5/96 binary32) (.f32 x x)) #s(literal -3/32 binary32)) (pow.f32 x #s(literal 4 binary32))) (log.f32 x)))
(-.f32 (log.f32 x) (log.f32 #s(literal 1/2 binary32)))
(-.f32 (log.f32 x) (log.f32 #s(literal 1/2 binary32)))
(-.f32 (log.f32 x) (log.f32 #s(literal 1/2 binary32)))
(-.f32 (log.f32 x) (log.f32 #s(literal 1/2 binary32)))
(-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 x))
(-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 x))
(-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 x))
(-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 x))
(/.f32 #s(literal 1/2 binary32) x)
(/.f32 #s(literal 1/2 binary32) x)
(/.f32 #s(literal 1/2 binary32) x)
(/.f32 #s(literal 1/2 binary32) x)
(-.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (neg.f32 x)))
(-.f32 (-.f32 (log.f32 #s(literal -1/2 binary32)) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))) (log.f32 (neg.f32 x)))
(-.f32 (-.f32 (log.f32 #s(literal -1/2 binary32)) (/.f32 #s(literal -3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) (+.f32 (/.f32 #s(literal -1/4 binary32) (*.f32 x x)) (log.f32 (neg.f32 x))))
(-.f32 (-.f32 (+.f32 (/.f32 #s(literal 5/96 binary32) (pow.f32 x #s(literal 6 binary32))) (log.f32 #s(literal -1/2 binary32))) (/.f32 #s(literal -3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) (+.f32 (/.f32 #s(literal -1/4 binary32) (*.f32 x x)) (log.f32 (neg.f32 x))))
(-.f32 (log.f32 (neg.f32 x)) (log.f32 #s(literal -1/2 binary32)))
(-.f32 (log.f32 (neg.f32 x)) (log.f32 #s(literal -1/2 binary32)))
(-.f32 (log.f32 (neg.f32 x)) (log.f32 #s(literal -1/2 binary32)))
(-.f32 (log.f32 (neg.f32 x)) (log.f32 #s(literal -1/2 binary32)))
(-.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (neg.f32 x)))
(-.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (neg.f32 x)))
(-.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (neg.f32 x)))
(-.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (neg.f32 x)))
(/.f32 #s(literal 1/2 binary32) x)
(/.f32 #s(literal 1/2 binary32) x)
(/.f32 #s(literal 1/2 binary32) x)
(/.f32 #s(literal 1/2 binary32) x)

rewrite421.0ms (6.2%)

Memory

3.9MiB live, 234.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	27
0	15	27
1	64	25
2	406	25
3	4325	25
0	8172	24

Stop Event

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

Counts

4 → 144

Calls

Call 1

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

Outputs
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
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#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>

eval19.0ms (0.3%)

Memory: -5.1MiB live, 43.2MiB allocated
Compiler: Compiled 4 081 to 602 computations (85.2% saved)

prune7.0ms (0.1%)

Memory

24.2MiB live, 24.2MiB allocated

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	191	1	192
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	191	8	199

Accuracy

100.0%

Counts

199 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	53.6%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
✓	53.6%	(log.f32 (+.f32 x (sqrt.f32 (+.f32 (.f32 (+.f32 #s(literal 1 binary32) x) x) #s(approx ( (+ 1 x) -1) (-.f32 #s(literal -1 binary32) x))))))
✓	98.2%	(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))))
✓	52.5%	(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (/.f32 (+.f32 #s(literal -1/4 binary32) (.f32 x x)) (.f32 x #s(literal 1/2 binary32)))))
✓	98.2%	(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 (/.f32 #s(literal -1/2 binary32) x) (*.f32 #s(literal 2 binary32) x))))
✓	97.5%	(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x)))
	7.1%	#s(approx (log (+ (sqrt (+ (* x x) -1)) x)) (fma.f32 #s(literal 1 binary32) (log.f32 (*.f32 #s(literal 2 binary32) x)) #s(literal 0 binary32)))
✓	98.2%	#s(approx (log (+ (sqrt (+ (* x x) -1)) x)) (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x))))

Compiler

Compiled 357 to 181 computations (49.3% saved)

regimes21.0ms (0.3%)

Memory

1.2MiB live, 39.8MiB allocated

Counts

15 → 1

Calls

Call 1

Inputs
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x)))
#s(approx (log (+ (sqrt (+ (* x x) -1)) x)) (fma.f32 #s(literal 1 binary32) (log.f32 (*.f32 #s(literal 2 binary32) x)) #s(literal 0 binary32)))
#s(approx (log (+ (sqrt (+ (* x x) -1)) x)) (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x))))
(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x)))))
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x))))
(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))))
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 (/.f32 #s(literal -1/2 binary32) x) (*.f32 #s(literal 2 binary32) x))))
(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (/.f32 (+.f32 #s(literal -1/4 binary32) (.f32 x x)) (.f32 x #s(literal 1/2 binary32)))))
(log.f32 (+.f32 x (sqrt.f32 (+.f32 (.f32 (+.f32 #s(literal 1 binary32) x) x) #s(approx ( (+ 1 x) -1) (-.f32 #s(literal -1 binary32) x))))))
(log.f32 (+.f32 x (sqrt.f32 (+.f32 (.f32 (+.f32 #s(literal 1 binary32) x) x) (.f32 (+.f32 #s(literal 1 binary32) x) #s(literal -1 binary32))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))))
#s(approx (log (+ (sqrt (+ (* x x) -1)) x)) (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))))

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

Calls

3 calls:

11.0ms	(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
5.0ms	x
4.0ms	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))

Results

Accuracy	Segments	Branch
98.2%	1	`x`
98.2%	1	`(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))`
98.2%	1	`(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))`

Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes9.0ms (0.1%)

Memory

-18.3MiB live, 20.0MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
2.0ms	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
2.0ms	x

Results

Accuracy	Segments	Branch
98.2%	1	`x`
98.2%	1	`(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))`
98.2%	1	`(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))`

Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes9.0ms (0.1%)

Memory

-15.9MiB live, 22.3MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
98.2%	1	`x`
98.2%	1	`(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))`
98.2%	1	`(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))`

Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes5.0ms (0.1%)

Memory

16.5MiB live, 16.5MiB allocated

Accuracy

Total -28.9b remaining (-3543.2%)

Threshold costs -28.9b (-3543.2%)

Counts

2 → 1

Calls

Call 1

Inputs

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

#s(approx (log (+ (sqrt (+ (* x x) -1)) x)) (fma.f32 #s(literal 1 binary32) (log.f32 (*.f32 #s(literal 2 binary32) x)) #s(literal 0 binary32)))

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

Calls

3 calls:

2.0ms	(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
2.0ms	x
1.0ms	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))

Results

Accuracy	Segments	Branch
97.5%	1	`x`
97.5%	1	`(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))`
97.5%	1	`(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))`

Compiler

Compiled 18 to 14 computations (22.2% saved)

simplify55.0ms (0.8%)

Memory

-5.8MiB live, 96.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	60
1	39	60
2	48	60
3	55	60
4	60	60
5	62	60

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness833.0ms (12.3%)

Memory

-16.0MiB live, 659.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	256
0	68	248
1	260	240
2	1870	240
0	8829	220
0	150	559
1	411	533
2	1146	526
3	3331	488
4	7980	488
0	8533	459
0	33	200
0	53	165
1	203	164
2	1526	164
0	8161	163
0	169	2620
1	470	2454
2	1284	2341
3	4682	2333
0	8198	2218
0	7	28
0	12	28
1	49	28
2	322	28
3	3626	28
0	8646	24

Stop Event

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

Compiler

Compiled 133 to 83 computations (37.6% saved)

preprocess42.0ms (0.6%)

Memory: -4.6MiB live, 114.5MiB allocated
Compiler: Compiled 162 to 90 computations (44.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample619.0ms (9.2%)

explain112.0ms (1.7%)

preprocess319.0ms (4.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify282.0ms (4.2%)

localize44.0ms (0.7%)

series6.0ms (0.1%)

simplify266.0ms (3.9%)

rewrite156.0ms (2.3%)

eval48.0ms (0.7%)

prune11.0ms (0.2%)

simplify346.0ms (5.1%)

localize227.0ms (3.4%)

series16.0ms (0.2%)

simplify176.0ms (2.6%)

rewrite228.0ms (3.4%)

eval130.0ms (1.9%)

prune25.0ms (0.4%)

simplify236.0ms (3.5%)

localize208.0ms (3.1%)

series266.0ms (3.9%)

simplify218.0ms (3.2%)

rewrite460.0ms (6.8%)

eval110.0ms (1.6%)

prune186.0ms (2.8%)

simplify281.0ms (4.2%)

localize36.0ms (0.5%)

series78.0ms (1.2%)

simplify233.0ms (3.5%)

rewrite421.0ms (6.2%)

eval19.0ms (0.3%)

prune7.0ms (0.1%)

regimes21.0ms (0.3%)

regimes9.0ms (0.1%)

regimes9.0ms (0.1%)

regimes5.0ms (0.1%)

simplify55.0ms (0.8%)

soundness833.0ms (12.3%)

preprocess42.0ms (0.6%)

end0.0ms (0%)

Profiling