Metrics for Rust f32::acosh

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB 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)

sample580.0ms (8.8%)

Memory

37.5MiB live, 547.1MiB allocated

Samples

306.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 175.0ms

ival-acosh: 111.0ms (63.6% of total)

ival->=: 54.0ms (30.9% of total)

exact: 6.0ms (3.4% of total)

ival-assert: 3.0ms (1.7% of total)

Bogosity

explain157.0ms (2.4%)

Memory

-13.1MiB live, 179.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
131	-	-	`(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	131	0
↳	`(*.f32 x x)`	overflow	131
↳	`(-.f32 (*.f32 x x) #s(literal 1 binary32))`	overflow	131
`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	131
↳	`(-.f32 (*.f32 x x) #s(literal 1 binary32))`	overflow	131

Confusion

	Predicted +	Predicted -
+	131	0
-	0	125

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	131	0	0
-	0	0	125

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	125
1	129
2	2

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

45.0ms

512×

valid

Compiler

Compiled 112 to 32 computations (71.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-sqrt: 16.0ms (47.5% of total)

ival-log: 8.0ms (23.7% of total)

ival-mult: 4.0ms (11.9% of total)

ival-sub: 3.0ms (8.9% of total)

ival-add: 2.0ms (5.9% of total)

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

exact: 0.0ms (0% of total)

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

preprocess318.0ms (4.8%)

Memory

3.8MiB live, 289.7MiB 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 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
(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: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.1%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify435.0ms (6.6%)

Memory

24.4MiB live, 253.5MiB 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 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))
(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
(+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)
x
(sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))
(sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))
(-.f32 (*.f32 x x) #s(literal 1 binary32))
(fma.f32 x x #s(literal -1 binary32))
(*.f32 x x)
#s(literal 1 binary32)

localize24.0ms (0.4%)

Memory

-13.6MiB live, 38.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f32 x x)
accuracy	0.01953125	(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
accuracy	0.2416100198878053	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
accuracy	14.047141619334012	(sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))

Samples

14.0ms

256×

valid

Compiler

Compiled 68 to 16 computations (76.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-log: 2.0ms (23.2% of total)

ival-mult: 2.0ms (23.2% of total)

ival-sqrt: 2.0ms (23.2% of total)

ival-sub: 1.0ms (11.6% of total)

ival-add: 1.0ms (11.6% of total)

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

exact: 0.0ms (0% of total)

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

series8.0ms (0.1%)

Memory

-26.1MiB live, 10.9MiB allocated

Counts

5 → 39

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)))
(*.f32 x x)

Outputs
-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) (* 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))))
(+ (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 -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))))))

Calls

3 calls:

Time	Variable		Point	Expression
5.0ms	x	@	-inf	((- (* x x) 1) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (sqrt (- (* x x) 1)) (* x x))
2.0ms	x	@	0	((- (* x x) 1) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (sqrt (- (* x x) 1)) (* x x))
1.0ms	x	@	inf	((- (* x x) 1) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (sqrt (- (* x x) 1)) (* x x))

Time

Variable

Point

Expression

5.0ms

-inf

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

2.0ms

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

1.0ms

inf

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

simplify266.0ms (4%)

Memory

26.9MiB live, 270.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	150	519
1	411	493
2	1146	486
3	3331	448
4	7980	448
0	8533	426

Stop Event

1×	iter limit
1×	node limit

Counts

39 → 38

Calls

Call 1

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

rewrite245.0ms (3.7%)

Memory

-18.1MiB live, 256.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	31
0	12	31
1	49	31
2	322	31
3	3626	31
0	8646	27

Stop Event

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

Counts

5 → 328

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)))
(*.f32 x x)

Outputs
(expm1.f32 (.f32 (log.f32 (.f32 x x)) #s(literal 1 binary32)))
(expm1.f32 (log.f32 (*.f32 x x)))
(.f32 (exp.f32 (log.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (exp.f32 (neg.f32 (log1p.f32 (.f32 x x)))))
(*.f32 (exp.f32 (log.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)))) (exp.f32 (neg.f32 (log1p.f32 (fma.f32 x x (pow.f32 x #s(literal 4 binary32)))))))
(*.f32 (exp.f32 (log1p.f32 x)) (exp.f32 (log.f32 (-.f32 x #s(literal 1 binary32)))))
(*.f32 (exp.f32 (log.f32 (-.f32 x #s(literal 1 binary32)))) (exp.f32 (log1p.f32 x)))
(.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))) (-.f32 #s(literal 1 binary32) (.f32 x x)))
(*.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))) (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32)))
(*.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (-.f32 (pow.f32 x #s(literal 8 binary32)) (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 2 binary32)))) (-.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal 1 binary32))))
(*.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 3 binary32)) (pow.f32 x #s(literal 12 binary32)))) (fma.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32))) (pow.f32 x #s(literal 8 binary32))))
(*.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (fma.f32 x x #s(literal -1 binary32)))
(.f32 (.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x))) (sqrt.f32 (-.f32 x #s(literal 1 binary32))))
(*.f32 (/.f32 (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 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/4 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/4 binary32)))
(*.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/4 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/4 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32))) (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)))
(*.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 x x #s(literal 1 binary32)))))
(*.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))))))
(.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) x)) (.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))
(*.f32 (-.f32 x #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) x))
(*.f32 (+.f32 #s(literal 1 binary32) x) (-.f32 x #s(literal 1 binary32)))
(*.f32 (fma.f32 x x #s(literal 1 binary32)) (/.f32 (fma.f32 x x #s(literal -1 binary32)) (fma.f32 x x #s(literal 1 binary32))))
(.f32 (fma.f32 x x #s(literal 1 binary32)) (.f32 (fma.f32 x x #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32)))))
(*.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32))))
(.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (.f32 #s(literal -1 binary32) (*.f32 x x)))))
(*.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))))
(*.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))
(*.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32)))
(sqrt.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 2 binary32)))
(/.f32 (exp.f32 (log.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))))) (exp.f32 (log.f32 (neg.f32 (fma.f32 x x #s(literal 1 binary32))))))
(/.f32 (exp.f32 (log.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))))) (exp.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log1p.f32 (fma.f32 x x (pow.f32 x #s(literal 4 binary32)))))))
(/.f32 (exp.f32 (log.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (exp.f32 (log1p.f32 (*.f32 x x))))
(/.f32 (exp.f32 (log.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)))) (exp.f32 (log.f32 (-.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (.f32 #s(literal -1 binary32) (.f32 x x))))))
(/.f32 (exp.f32 (log.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)))) (exp.f32 (log1p.f32 (fma.f32 x x (pow.f32 x #s(literal 4 binary32))))))
(/.f32 (*.f32 (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) x)) (fma.f32 x x (+.f32 #s(literal 1 binary32) x)))
(/.f32 (*.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)) (-.f32 x #s(literal 1 binary32))) (-.f32 (fma.f32 x x #s(literal 1 binary32)) x))
(/.f32 (*.f32 (-.f32 (pow.f32 x #s(literal 8 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32)))) (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))
(/.f32 (*.f32 (-.f32 (pow.f32 x #s(literal 12 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32)))) (+.f32 (+.f32 (pow.f32 x #s(literal 8 binary32)) #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32))))
(/.f32 (*.f32 (-.f32 (pow.f32 x #s(literal 12 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))))) (+.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)))
(/.f32 (*.f32 (-.f32 (pow.f32 x #s(literal 18 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))))) (+.f32 (+.f32 (pow.f32 x #s(literal 12 binary32)) #s(literal 1 binary32)) (pow.f32 x #s(literal 6 binary32))))
(/.f32 (*.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(/.f32 (*.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (sqrt.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))))
(/.f32 (*.f32 (-.f32 x #s(literal 1 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32))) (-.f32 (fma.f32 x x #s(literal 1 binary32)) x))
(/.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32))) (fma.f32 x x (+.f32 #s(literal 1 binary32) x)))
(/.f32 (*.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(/.f32 (*.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (sqrt.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)))) (sqrt.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))))
(/.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) (fma.f32 x x #s(literal -1 binary32))) (+.f32 #s(literal 1 binary32) x))
(/.f32 (*.f32 (-.f32 x #s(literal 1 binary32)) (fma.f32 x x #s(literal -1 binary32))) (-.f32 x #s(literal 1 binary32)))
(/.f32 (*.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 x #s(literal 1 binary32))) (-.f32 x #s(literal 1 binary32)))
(/.f32 (*.f32 (fma.f32 x x #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) x)) (+.f32 #s(literal 1 binary32) x))
(/.f32 (-.f32 (pow.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal 1 binary32))) #s(literal 2 binary32)) (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal -2 binary32))) (+.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32)))))
(/.f32 (-.f32 (pow.f32 (/.f32 (pow.f32 x #s(literal 6 binary32)) (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) #s(literal 2 binary32)) (pow.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) #s(literal -2 binary32))) (+.f32 (/.f32 (pow.f32 x #s(literal 6 binary32)) (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))))))
(/.f32 (-.f32 (.f32 (pow.f32 x #s(literal 12 binary32)) (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal -3 binary32))) (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal -3 binary32))) (+.f32 (pow.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal 1 binary32))) #s(literal 2 binary32)) (+.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal -2 binary32)) (.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32)))))))
(/.f32 (-.f32 (pow.f32 (/.f32 (pow.f32 x #s(literal 6 binary32)) (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) #s(literal 3 binary32)) (pow.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) #s(literal -3 binary32))) (+.f32 (pow.f32 (/.f32 (pow.f32 x #s(literal 6 binary32)) (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) #s(literal 2 binary32)) (+.f32 (pow.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) #s(literal -2 binary32)) (*.f32 (/.f32 (pow.f32 x #s(literal 6 binary32)) (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))))))))
(/.f32 (neg.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (neg.f32 (neg.f32 (fma.f32 x x #s(literal 1 binary32)))))
(/.f32 (neg.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)))) (neg.f32 (neg.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))))))
(/.f32 (*.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32)))
(/.f32 (*.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)) (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))))
(/.f32 (.f32 (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32))) (.f32 (fma.f32 x x (+.f32 #s(literal 1 binary32) x)) (-.f32 (fma.f32 x x #s(literal 1 binary32)) x)))
(/.f32 (.f32 (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)) (fma.f32 x x #s(literal -1 binary32))) (.f32 (fma.f32 x x (+.f32 #s(literal 1 binary32) x)) (-.f32 x #s(literal 1 binary32))))
(/.f32 (.f32 (fma.f32 x x #s(literal -1 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32))) (.f32 (+.f32 #s(literal 1 binary32) x) (-.f32 (fma.f32 x x #s(literal 1 binary32)) x)))
(/.f32 (.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)) (fma.f32 x x #s(literal -1 binary32))) (.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) x) (+.f32 #s(literal 1 binary32) x)))
(/.f32 (.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32))) (.f32 (-.f32 x #s(literal 1 binary32)) (fma.f32 x x (+.f32 #s(literal 1 binary32) x))))
(/.f32 (.f32 (-.f32 (pow.f32 x #s(literal 8 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)) (.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32))))
(/.f32 (.f32 (-.f32 (pow.f32 x #s(literal 12 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)) (.f32 (+.f32 (+.f32 (pow.f32 x #s(literal 8 binary32)) #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32))) (fma.f32 x x #s(literal 1 binary32))))
(/.f32 (.f32 (-.f32 (pow.f32 x #s(literal 12 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)) (.f32 (+.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))))
(/.f32 (.f32 (-.f32 (pow.f32 x #s(literal 18 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)) (.f32 (+.f32 (+.f32 (pow.f32 x #s(literal 12 binary32)) #s(literal 1 binary32)) (pow.f32 x #s(literal 6 binary32))) (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))))
(/.f32 (.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)))) (.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (sqrt.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))))))
(/.f32 (.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (.f32 (sqrt.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
(/.f32 (-.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) (pow.f32 x #s(literal 6 binary32))) (fma.f32 x x #s(literal 1 binary32))) (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 2 binary32)))
(/.f32 (-.f32 (.f32 (pow.f32 x #s(literal 6 binary32)) (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) #s(literal 1 binary32))) (pow.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) #s(literal 2 binary32)))
(/.f32 (-.f32 (pow.f32 x #s(literal 8 binary32)) #s(literal 1 binary32)) (*.f32 (fma.f32 x x #s(literal 1 binary32)) (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal -1 binary32) (*.f32 x x)))
(/.f32 (-.f32 (pow.f32 x #s(literal 12 binary32)) #s(literal 1 binary32)) (*.f32 (fma.f32 x x #s(literal 1 binary32)) (+.f32 (+.f32 (pow.f32 x #s(literal 8 binary32)) #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)))))
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eval41.0ms (0.6%)

Memory: 11.3MiB live, 96.7MiB allocated
Compiler: Compiled 8 294 to 1 613 computations (80.6% saved)

prune9.0ms (0.1%)

Memory

-11.1MiB live, 27.4MiB allocated

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	357	8	365
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	357	9	366

Accuracy

100.0%

Counts

366 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	27.3%	(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))
▶	12.6%	(log.f32 (+.f32 x (sqrt.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (-.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (.f32 #s(literal -1 binary32) (.f32 x x)))))))
✓	52.1%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
	52.1%	(log.f32 (+.f32 x (sqrt.f32 (+.f32 (-.f32 x #s(literal 1 binary32)) (*.f32 x (-.f32 x #s(literal 1 binary32)))))))
▶	98.6%	(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))))
▶	97.6%	(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x)))
	98.5%	#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))))
▶	97.5%	#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))))

Compiler

Compiled 253 to 189 computations (25.3% saved)

simplify291.0ms (4.4%)

Memory

13.5MiB live, 206.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f32 x (sqrt.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (-.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (.f32 #s(literal -1 binary32) (.f32 x x))))))
cost-diff	0	(log.f32 (+.f32 x (sqrt.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (-.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (.f32 #s(literal -1 binary32) (.f32 x x)))))))
cost-diff	96	(.f32 #s(literal -1 binary32) (.f32 x x))
cost-diff	128	(-.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (.f32 #s(literal -1 binary32) (.f32 x x)))
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 (+ x (sqrt (- (* x x) 1)))) (+.f32 (log.f32 x) (log.f32 #s(literal 2 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 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	39	249
0	63	237
1	96	232
2	136	232
3	218	232
4	392	232
5	870	232
6	1583	232
7	2226	232
8	2788	232
9	3064	232
10	3120	232
11	3144	232
12	3156	232
13	6314	232
14	6795	232
15	7371	232
16	7938	232
17	7991	232
0	8015	227

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 (+.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)
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.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)
(log.f32 (+.f32 x (sqrt.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (-.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (.f32 #s(literal -1 binary32) (.f32 x x)))))))
(+.f32 x (sqrt.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (-.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (.f32 #s(literal -1 binary32) (.f32 x x))))))
x
(sqrt.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (-.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (.f32 #s(literal -1 binary32) (.f32 x x)))))
(/.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (-.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (.f32 #s(literal -1 binary32) (.f32 x x))))
(-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))
(pow.f32 x #s(literal 6 binary32))
#s(literal 6 binary32)
#s(literal 1 binary32)
(-.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (.f32 #s(literal -1 binary32) (.f32 x x)))
(+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))
(pow.f32 x #s(literal 4 binary32))
#s(literal 4 binary32)
(.f32 #s(literal -1 binary32) (.f32 x x))
#s(literal -1 binary32)
(*.f32 x x)

Outputs
(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 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))
(+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) 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 (+.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)
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x)))
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
(log.f32 x)
x
(log.f32 #s(literal 2 binary32))
#s(literal 2 binary32)
(log.f32 (+.f32 x (sqrt.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (-.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (.f32 #s(literal -1 binary32) (.f32 x x)))))))
(log.f32 (+.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))) (-.f32 #s(literal -1 binary32) (fma.f32 x x (pow.f32 x #s(literal 4 binary32)))))) x))
(+.f32 x (sqrt.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (-.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (.f32 #s(literal -1 binary32) (.f32 x x))))))
(+.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))) (-.f32 #s(literal -1 binary32) (fma.f32 x x (pow.f32 x #s(literal 4 binary32)))))) x)
x
(sqrt.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (-.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (.f32 #s(literal -1 binary32) (.f32 x x)))))
(sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))) (-.f32 #s(literal -1 binary32) (fma.f32 x x (pow.f32 x #s(literal 4 binary32))))))
(/.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (-.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (.f32 #s(literal -1 binary32) (.f32 x x))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))) (-.f32 #s(literal -1 binary32) (fma.f32 x x (pow.f32 x #s(literal 4 binary32)))))
(-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))
(pow.f32 x #s(literal 6 binary32))
#s(literal 6 binary32)
#s(literal 1 binary32)
(-.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (.f32 #s(literal -1 binary32) (.f32 x x)))
(fma.f32 x x (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal -1 binary32)))
(+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))
(-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal -1 binary32))
(pow.f32 x #s(literal 4 binary32))
#s(literal 4 binary32)
(.f32 #s(literal -1 binary32) (.f32 x x))
(*.f32 (neg.f32 x) x)
#s(literal -1 binary32)
(*.f32 x x)

localize158.0ms (2.4%)

Memory

-16.3MiB live, 142.4MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.01953125	(+.f32 x (sqrt.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (-.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (.f32 #s(literal -1 binary32) (.f32 x x))))))
accuracy	0.2416100198878053	(log.f32 (+.f32 x (sqrt.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (-.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (.f32 #s(literal -1 binary32) (.f32 x x)))))))
accuracy	14.047141619334012	(sqrt.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (-.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (.f32 #s(literal -1 binary32) (.f32 x x)))))
accuracy	21.53943109378937	(/.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (-.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (.f32 #s(literal -1 binary32) (.f32 x x))))
accuracy	0	(log.f32 x)
accuracy	0	(log.f32 #s(literal 2 binary32))
accuracy	0.2578125	(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))
accuracy	0.5375841326805895	#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))))
accuracy	0.01953125	(+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)
accuracy	0.2416100198878053	(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))
accuracy	14.047141619334012	(sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))
accuracy	31.46147157767322	(fma.f32 x x #s(literal -1 binary32))
accuracy	0	(*.f32 #s(literal 2 binary32) x)
accuracy	0.2416100198878053	(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x)))
accuracy	0.6339078443701408	#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	0.01953125	(+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))))
accuracy	0.2416100198878053	(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))))
accuracy	0.2585691202421153	#s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))

Samples

135.0ms

256×

valid

Compiler

Compiled 472 to 74 computations (84.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 123.0ms

ival-log: 75.0ms (61.1% of total)

ival-div: 17.0ms (13.9% of total)

ival-pow: 9.0ms (7.3% of total)

ival-add: 7.0ms (5.7% of total)

ival-mult: 5.0ms (4.1% of total)

ival-sub: 5.0ms (4.1% of total)

ival-sqrt: 5.0ms (4.1% of total)

exact: 1.0ms (0.8% of total)

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

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

series82.0ms (1.2%)

Memory

30.9MiB live, 111.4MiB allocated

Counts

21 → 54

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 (+.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))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.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 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (.f32 #s(literal -1 binary32) (.f32 x x)))
(.f32 #s(literal -1 binary32) (.f32 x x))
(log.f32 (+.f32 x (sqrt.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (-.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (.f32 #s(literal -1 binary32) (.f32 x x)))))))
(+.f32 x (sqrt.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (-.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (.f32 #s(literal -1 binary32) (.f32 x x))))))
(/.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (-.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (.f32 #s(literal -1 binary32) (.f32 x x))))
(sqrt.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (-.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (.f32 #s(literal -1 binary32) (.f32 x x)))))

Outputs
(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) (* 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)
(* 2 x)
-1
(- (pow x 2) 1)
(+ (log 2) (log x))
(log x)
1
(+ 1 (pow x 2))
(+ 1 (* (pow x 2) (+ 1 (pow x 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))))
(* 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))))
(* -1 (log (/ 1 x)))
(pow x 4)
(* (pow x 4) (+ 1 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))
(+ (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))))))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))
(+ (log -1) (+ (log 2) (* -1 (log (/ -1 x)))))
(+ (log -1) (* -1 (log (/ -1 x))))

Calls

3 calls:

Time	Variable		Point	Expression
43.0ms	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 (+ (sqrt (+ (* x x) -1)) x)) (+ (sqrt (+ (* x x) -1)) x) (sqrt (+ (* x x) -1)) (+ (* x x) -1) (log (+ x (sqrt (- (* x x) 1)))) (+ (log x) (log 2)) (log x) (log 2) (- (+ (pow x 4) 1) (* -1 (* x x))) (* -1 (* x x)) (log (+ x (sqrt (/ (- (pow x 6) 1) (- (+ (pow x 4) 1) (* -1 (* x x))))))) (+ x (sqrt (/ (- (pow x 6) 1) (- (+ (pow x 4) 1) (* -1 (* x x)))))) (/ (- (pow x 6) 1) (- (+ (pow x 4) 1) (* -1 (* x x)))) (sqrt (/ (- (pow x 6) 1) (- (+ (pow x 4) 1) (* -1 (* x x))))))
19.0ms	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 (+ (sqrt (+ (* x x) -1)) x)) (+ (sqrt (+ (* x x) -1)) x) (sqrt (+ (* x x) -1)) (+ (* x x) -1) (log (+ x (sqrt (- (* x x) 1)))) (+ (log x) (log 2)) (log x) (log 2) (- (+ (pow x 4) 1) (* -1 (* x x))) (* -1 (* x x)) (log (+ x (sqrt (/ (- (pow x 6) 1) (- (+ (pow x 4) 1) (* -1 (* x x))))))) (+ x (sqrt (/ (- (pow x 6) 1) (- (+ (pow x 4) 1) (* -1 (* x x)))))) (/ (- (pow x 6) 1) (- (+ (pow x 4) 1) (* -1 (* x x)))) (sqrt (/ (- (pow x 6) 1) (- (+ (pow x 4) 1) (* -1 (* x x))))))
19.0ms	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 (+ (sqrt (+ (* x x) -1)) x)) (+ (sqrt (+ (* x x) -1)) x) (sqrt (+ (* x x) -1)) (+ (* x x) -1) (log (+ x (sqrt (- (* x x) 1)))) (+ (log x) (log 2)) (log x) (log 2) (- (+ (pow x 4) 1) (* -1 (* x x))) (* -1 (* x x)) (log (+ x (sqrt (/ (- (pow x 6) 1) (- (+ (pow x 4) 1) (* -1 (* x x))))))) (+ x (sqrt (/ (- (pow x 6) 1) (- (+ (pow x 4) 1) (* -1 (* x x)))))) (/ (- (pow x 6) 1) (- (+ (pow x 4) 1) (* -1 (* x x)))) (sqrt (/ (- (pow x 6) 1) (- (+ (pow x 4) 1) (* -1 (* x x))))))

Time

Variable

Point

Expression

43.0ms

((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 (+ (sqrt (+ (* x x) -1)) x)) (+ (sqrt (+ (* x x) -1)) x) (sqrt (+ (* x x) -1)) (+ (* x x) -1) (log (+ x (sqrt (- (* x x) 1)))) (+ (log x) (log 2)) (log x) (log 2) (- (+ (pow x 4) 1) (* -1 (* x x))) (* -1 (* x x)) (log (+ x (sqrt (/ (- (pow x 6) 1) (- (+ (pow x 4) 1) (* -1 (* x x))))))) (+ x (sqrt (/ (- (pow x 6) 1) (- (+ (pow x 4) 1) (* -1 (* x x)))))) (/ (- (pow x 6) 1) (- (+ (pow x 4) 1) (* -1 (* x x)))) (sqrt (/ (- (pow x 6) 1) (- (+ (pow x 4) 1) (* -1 (* x x))))))

19.0ms

-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 (+ (sqrt (+ (* x x) -1)) x)) (+ (sqrt (+ (* x x) -1)) x) (sqrt (+ (* x x) -1)) (+ (* x x) -1) (log (+ x (sqrt (- (* x x) 1)))) (+ (log x) (log 2)) (log x) (log 2) (- (+ (pow x 4) 1) (* -1 (* x x))) (* -1 (* x x)) (log (+ x (sqrt (/ (- (pow x 6) 1) (- (+ (pow x 4) 1) (* -1 (* x x))))))) (+ x (sqrt (/ (- (pow x 6) 1) (- (+ (pow x 4) 1) (* -1 (* x x)))))) (/ (- (pow x 6) 1) (- (+ (pow x 4) 1) (* -1 (* x x)))) (sqrt (/ (- (pow x 6) 1) (- (+ (pow x 4) 1) (* -1 (* x x))))))

19.0ms

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 (+ (sqrt (+ (* x x) -1)) x)) (+ (sqrt (+ (* x x) -1)) x) (sqrt (+ (* x x) -1)) (+ (* x x) -1) (log (+ x (sqrt (- (* x x) 1)))) (+ (log x) (log 2)) (log x) (log 2) (- (+ (pow x 4) 1) (* -1 (* x x))) (* -1 (* x x)) (log (+ x (sqrt (/ (- (pow x 6) 1) (- (+ (pow x 4) 1) (* -1 (* x x))))))) (+ x (sqrt (/ (- (pow x 6) 1) (- (+ (pow x 4) 1) (* -1 (* x x)))))) (/ (- (pow x 6) 1) (- (+ (pow x 4) 1) (* -1 (* x x)))) (sqrt (/ (- (pow x 6) 1) (- (+ (pow x 4) 1) (* -1 (* x x))))))

simplify167.0ms (2.5%)

Memory

6.5MiB live, 156.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	173	606
1	475	576
2	1277	555
3	3955	522
0	8888	498

Stop Event

1×	iter limit
1×	node limit

Counts

54 → 53

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

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

rewrite310.0ms (4.7%)

Memory

11.5MiB live, 280.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	214
0	63	152
1	250	151
2	1767	151
0	8806	150

Stop Event

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

Counts

21 → 791

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 (+.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))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.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 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (.f32 #s(literal -1 binary32) (.f32 x x)))
(.f32 #s(literal -1 binary32) (.f32 x x))
(log.f32 (+.f32 x (sqrt.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (-.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (.f32 #s(literal -1 binary32) (.f32 x x)))))))
(+.f32 x (sqrt.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (-.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (.f32 #s(literal -1 binary32) (.f32 x x))))))
(/.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (-.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (.f32 #s(literal -1 binary32) (.f32 x x))))
(sqrt.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (-.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (.f32 #s(literal -1 binary32) (.f32 x x)))))

Outputs
(log.f32 (+.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) x))
(/.f32 (-.f32 (pow.f32 (log.f32 (-.f32 (.f32 x x) (pow.f32 #s(approx (sqrt (- ( x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) #s(literal 2 binary32)))) #s(literal 3 binary32)) (pow.f32 (log.f32 (-.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))))) #s(literal 3 binary32))) (fma.f32 (log.f32 (-.f32 (.f32 x x) (pow.f32 #s(approx (sqrt (- ( x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) #s(literal 2 binary32)))) (log.f32 (-.f32 (.f32 x x) (pow.f32 #s(approx (sqrt (- ( x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) #s(literal 2 binary32)))) (fma.f32 (log.f32 (-.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 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))))) (.f32 (log.f32 (-.f32 (.f32 x x) (pow.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) #s(literal 2 binary32)))) (log.f32 (-.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))))))))
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(-.f32 (log.f32 (neg.f32 (+.f32 (pow.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))))) (log.f32 (neg.f32 (fma.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) (-.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) x) (*.f32 x x)))))
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(+.f32 (log.f32 (+.f32 (pow.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (log.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) (-.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) x) (*.f32 x x)))))
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(pow.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal 1/2 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32))) #s(literal -1 binary32))
(pow.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) #s(literal 2 binary32))
(pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1 binary32))
(fabs.f32 (fma.f32 x x #s(literal -1 binary32)))
(+.f32 (/.f32 (pow.f32 x #s(literal 6 binary32)) (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))))))
(+.f32 (*.f32 x x) #s(literal -1 binary32))
(+.f32 #s(literal -1 binary32) (*.f32 x x))
(exp.f32 (*.f32 (log.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 2 binary32))) #s(literal 1/2 binary32)))
(exp.f32 (*.f32 (log.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32)))) #s(literal -1 binary32)))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal 2 binary32)))
(exp.f32 (*.f32 (log.f32 (fma.f32 x x #s(literal -1 binary32))) #s(literal 1 binary32)))
(exp.f32 (log.f32 (fma.f32 x x #s(literal -1 binary32))))
(neg.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (neg.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))))))
(neg.f32 (fma.f32 x x #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (pow.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) #s(literal 2 binary32)))) (sqrt.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))))
(.f32 (sqrt.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (-.f32 (pow.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) #s(literal 3 binary32)) (pow.f32 x #s(literal 6 binary32))))) (sqrt.f32 (fma.f32 (.f32 (neg.f32 x) x) (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (pow.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (sqrt.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))
(*.f32 (pow.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (pow.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) #s(literal 2 binary32))) #s(literal 1/2 binary32)) (sqrt.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))))
(.f32 (pow.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (-.f32 (pow.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) #s(literal 3 binary32)) (pow.f32 x #s(literal 6 binary32)))) #s(literal 1/2 binary32)) (sqrt.f32 (fma.f32 (.f32 (neg.f32 x) x) (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (pow.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32)))))
(*.f32 (pow.f32 #s(literal 1 binary32) #s(literal 1/2 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))
(*.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/4 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/4 binary32)))
(*.f32 (sqrt.f32 (+.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))))))
(*.f32 (sqrt.f32 (+.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))) (pow.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))))) #s(literal 1/2 binary32)))
(*.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (sqrt.f32 (/.f32 #s(literal -1 binary32) (fma.f32 x x #s(literal -1 binary32)))))
(*.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (pow.f32 (/.f32 #s(literal -1 binary32) (fma.f32 x x #s(literal -1 binary32))) #s(literal 1/2 binary32)))
(*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x)))
(*.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) x)) (sqrt.f32 (-.f32 x #s(literal 1 binary32))))
(*.f32 (pow.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) #s(literal -1/2 binary32)) (sqrt.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))) (pow.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) #s(literal -1/2 binary32)))
(*.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))
(sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))
(/.f32 (neg.f32 (neg.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))))) (neg.f32 (neg.f32 (sqrt.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))))))
(/.f32 (neg.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (neg.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
(/.f32 (neg.f32 (sqrt.f32 (+.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)))) (neg.f32 (sqrt.f32 (neg.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))))))
(/.f32 (sqrt.f32 (*.f32 (-.f32 (pow.f32 x #s(literal 12 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))))) (sqrt.f32 (+.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))))
(/.f32 (sqrt.f32 (*.f32 (-.f32 (pow.f32 x #s(literal 18 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))))) (sqrt.f32 (+.f32 (+.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (pow.f32 x #s(literal 12 binary32)))))
(/.f32 (sqrt.f32 (sqrt.f32 (*.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (fma.f32 x x #s(literal -1 binary32))))) (sqrt.f32 (sqrt.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))))))
(/.f32 (sqrt.f32 (*.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))))
(/.f32 (sqrt.f32 (sqrt.f32 (*.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))))) (sqrt.f32 (sqrt.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))))))
(/.f32 (sqrt.f32 (-.f32 (pow.f32 (/.f32 (pow.f32 x #s(literal 6 binary32)) (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) #s(literal 2 binary32)) (pow.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) #s(literal -2 binary32)))) (sqrt.f32 (+.f32 (/.f32 (pow.f32 x #s(literal 6 binary32)) (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))))))
(/.f32 (sqrt.f32 (-.f32 (*.f32 (pow.f32 x #s(literal 18 binary32)) (pow.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) #s(literal -3 binary32))) (pow.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) #s(literal -3 binary32)))) (sqrt.f32 (+.f32 (pow.f32 (/.f32 (pow.f32 x #s(literal 6 binary32)) (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) #s(literal 2 binary32)) (+.f32 (pow.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) #s(literal -2 binary32)) (/.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) #s(literal 2 binary32)))))))
(/.f32 (sqrt.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))
(/.f32 (sqrt.f32 (.f32 (-.f32 (pow.f32 x #s(literal 12 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32))) (sqrt.f32 (.f32 (+.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))))))
(/.f32 (sqrt.f32 (.f32 (-.f32 (pow.f32 x #s(literal 18 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32))) (sqrt.f32 (.f32 (+.f32 (+.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (pow.f32 x #s(literal 12 binary32))) (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))))))
(/.f32 (sqrt.f32 (-.f32 (.f32 (pow.f32 x #s(literal 6 binary32)) (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) #s(literal 1 binary32)))) (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))))
(/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))) (sqrt.f32 (-.f32 #s(literal -1 binary32) (*.f32 x x))))
(/.f32 (sqrt.f32 (neg.f32 (+.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)))) (sqrt.f32 (neg.f32 (neg.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))))))
(/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32))))))
(/.f32 (neg.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)))) (neg.f32 (sqrt.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))))))
(/.f32 (sqrt.f32 (+.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))) (sqrt.f32 (neg.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))))))
(/.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 12 binary32)) #s(literal 1 binary32))) (sqrt.f32 (*.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (+.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)))))
(/.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 18 binary32)) #s(literal 1 binary32))) (sqrt.f32 (*.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (+.f32 (+.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (pow.f32 x #s(literal 12 binary32))))))
(/.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(/.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32)))))
(pow.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/4 binary32)) #s(literal 2 binary32))
(pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32)))) #s(literal -1 binary32))
(pow.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal 1/4 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32))) #s(literal -1/2 binary32))
(pow.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) #s(literal 1 binary32))
(pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/2 binary32))
(fabs.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))
(exp.f32 (log.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))

eval68.0ms (1%)

Memory: -9.1MiB live, 149.5MiB allocated
Compiler: Compiled 17 093 to 2 739 computations (84% saved)

prune13.0ms (0.2%)

Memory

-9.5MiB live, 37.0MiB allocated

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	560	2	562
Fresh	1	2	3
Picked	3	2	5
Done	0	1	1
Total	564	7	571

Accuracy

100.0%

Counts

571 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	12.6%	(log.f32 (+.f32 x (sqrt.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (+.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 x x))))))
✓	52.1%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
▶	52.1%	(log.f32 (+.f32 x (sqrt.f32 (+.f32 (-.f32 x #s(literal 1 binary32)) (*.f32 x (-.f32 x #s(literal 1 binary32)))))))
✓	98.6%	(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))))
✓	97.6%	(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x)))
▶	98.5%	#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))))
▶	98.3%	#s(approx (log (+ x (sqrt (- (* x x) 1)))) (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x))))

Compiler

Compiled 105 to 78 computations (25.7% saved)

simplify318.0ms (4.8%)

Memory

7.1MiB live, 199.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (+.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 x x))))
cost-diff	0	(+.f32 x (sqrt.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (+.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 x x)))))
cost-diff	0	(log.f32 (+.f32 x (sqrt.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (+.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 x x))))))
cost-diff	64	(+.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 x x))
cost-diff	0	(sqrt.f32 (+.f32 (-.f32 x #s(literal 1 binary32)) (*.f32 x (-.f32 x #s(literal 1 binary32)))))
cost-diff	0	(+.f32 x (sqrt.f32 (+.f32 (-.f32 x #s(literal 1 binary32)) (*.f32 x (-.f32 x #s(literal 1 binary32))))))
cost-diff	0	(log.f32 (+.f32 x (sqrt.f32 (+.f32 (-.f32 x #s(literal 1 binary32)) (*.f32 x (-.f32 x #s(literal 1 binary32)))))))
cost-diff	256	(+.f32 (-.f32 x #s(literal 1 binary32)) (*.f32 x (-.f32 x #s(literal 1 binary32))))
cost-diff	0	(log.f32 x)
cost-diff	0	(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))
cost-diff	0	(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
cost-diff	0	#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))))
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 (+ x (sqrt (- (* x x) 1)))) (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	235
0	62	219
1	94	219
2	152	219
3	272	219
4	483	219
5	1163	219
6	3184	219
7	5228	219
8	6584	219
9	7658	219
0	8020	208

Stop Event

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

Calls

Call 1

Inputs
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (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
#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))))
(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))
(log.f32 x)
x
(log.f32 #s(literal 2 binary32))
#s(literal 2 binary32)
(/.f32 #s(literal 1/4 binary32) (*.f32 x x))
#s(literal 1/4 binary32)
(*.f32 x x)
(log.f32 (+.f32 x (sqrt.f32 (+.f32 (-.f32 x #s(literal 1 binary32)) (*.f32 x (-.f32 x #s(literal 1 binary32)))))))
(+.f32 x (sqrt.f32 (+.f32 (-.f32 x #s(literal 1 binary32)) (*.f32 x (-.f32 x #s(literal 1 binary32))))))
x
(sqrt.f32 (+.f32 (-.f32 x #s(literal 1 binary32)) (*.f32 x (-.f32 x #s(literal 1 binary32)))))
(+.f32 (-.f32 x #s(literal 1 binary32)) (*.f32 x (-.f32 x #s(literal 1 binary32))))
(-.f32 x #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 x (-.f32 x #s(literal 1 binary32)))
(log.f32 (+.f32 x (sqrt.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (+.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 x x))))))
(+.f32 x (sqrt.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (+.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 x x)))))
x
(sqrt.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (+.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 x x))))
(/.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (+.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 x x)))
(-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))
(pow.f32 x #s(literal 6 binary32))
#s(literal 6 binary32)
#s(literal 1 binary32)
(+.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 x x))
(+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))
(pow.f32 x #s(literal 4 binary32))
#s(literal 4 binary32)
(*.f32 x x)

Outputs
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (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
#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))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))))
(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
(-.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
(log.f32 x)
x
(log.f32 #s(literal 2 binary32))
#s(literal 2 binary32)
(/.f32 #s(literal 1/4 binary32) (*.f32 x x))
#s(literal 1/4 binary32)
(*.f32 x x)
(log.f32 (+.f32 x (sqrt.f32 (+.f32 (-.f32 x #s(literal 1 binary32)) (*.f32 x (-.f32 x #s(literal 1 binary32)))))))
(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))
(+.f32 x (sqrt.f32 (+.f32 (-.f32 x #s(literal 1 binary32)) (*.f32 x (-.f32 x #s(literal 1 binary32))))))
(+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)
x
(sqrt.f32 (+.f32 (-.f32 x #s(literal 1 binary32)) (*.f32 x (-.f32 x #s(literal 1 binary32)))))
(sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))
(+.f32 (-.f32 x #s(literal 1 binary32)) (*.f32 x (-.f32 x #s(literal 1 binary32))))
(fma.f32 x x #s(literal -1 binary32))
(-.f32 x #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 x (-.f32 x #s(literal 1 binary32)))
(*.f32 (-.f32 x #s(literal 1 binary32)) x)
(log.f32 (+.f32 x (sqrt.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (+.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 x x))))))
(log.f32 (+.f32 (sqrt.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (fma.f32 x x (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal -1 binary32))))) x))
(+.f32 x (sqrt.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (+.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 x x)))))
(+.f32 (sqrt.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (fma.f32 x x (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal -1 binary32))))) x)
x
(sqrt.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (+.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 x x))))
(sqrt.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (fma.f32 x x (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal -1 binary32)))))
(/.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (+.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 x x)))
(/.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (fma.f32 x x (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal -1 binary32))))
(-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))
(pow.f32 x #s(literal 6 binary32))
#s(literal 6 binary32)
#s(literal 1 binary32)
(+.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 x x))
(fma.f32 x x (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal -1 binary32)))
(+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))
(-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal -1 binary32))
(pow.f32 x #s(literal 4 binary32))
#s(literal 4 binary32)
(*.f32 x x)

localize260.0ms (3.9%)

Memory

0.2MiB live, 132.2MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.01953125	(+.f32 x (sqrt.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (+.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 x x)))))
accuracy	0.2416100198878053	(log.f32 (+.f32 x (sqrt.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (+.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 x x))))))
accuracy	14.047141619334012	(sqrt.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (+.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 x x))))
accuracy	21.53943109378937	(/.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (+.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 x x)))
accuracy	0.01953125	(+.f32 x (sqrt.f32 (+.f32 (-.f32 x #s(literal 1 binary32)) (*.f32 x (-.f32 x #s(literal 1 binary32))))))
accuracy	0.04296875	(+.f32 (-.f32 x #s(literal 1 binary32)) (*.f32 x (-.f32 x #s(literal 1 binary32))))
accuracy	0.2416100198878053	(log.f32 (+.f32 x (sqrt.f32 (+.f32 (-.f32 x #s(literal 1 binary32)) (*.f32 x (-.f32 x #s(literal 1 binary32)))))))
accuracy	14.047141619334012	(sqrt.f32 (+.f32 (-.f32 x #s(literal 1 binary32)) (*.f32 x (-.f32 x #s(literal 1 binary32)))))
accuracy	0.0234375	(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
accuracy	0.213391302508278	#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))))
accuracy	0.2578125	(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))
accuracy	0.6765660206874455	(/.f32 #s(literal 1/4 binary32) (*.f32 x x))
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	0.5375841326805895	#s(approx (log (+ x (sqrt (- (* x x) 1)))) (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x))))

Samples

57.0ms

256×

valid

Compiler

Compiled 454 to 76 computations (83.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-log: 13.0ms (29.5% of total)

ival-add: 7.0ms (15.9% of total)

ival-div: 5.0ms (11.3% of total)

ival-sqrt: 5.0ms (11.3% of total)

ival-pow: 5.0ms (11.3% of total)

ival-sub: 4.0ms (9.1% of total)

ival-mult: 3.0ms (6.8% of total)

exact: 1.0ms (2.3% of total)

ival-neg: 1.0ms (2.3% of total)

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

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

series391.0ms (5.9%)

Memory

-16.9MiB live, 142.7MiB allocated

Counts

18 → 59

Calls

Call 1

Inputs
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (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(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))))
(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))
(log.f32 x)
(+.f32 (-.f32 x #s(literal 1 binary32)) (*.f32 x (-.f32 x #s(literal 1 binary32))))
(log.f32 (+.f32 x (sqrt.f32 (+.f32 (-.f32 x #s(literal 1 binary32)) (*.f32 x (-.f32 x #s(literal 1 binary32)))))))
(+.f32 x (sqrt.f32 (+.f32 (-.f32 x #s(literal 1 binary32)) (*.f32 x (-.f32 x #s(literal 1 binary32))))))
(sqrt.f32 (+.f32 (-.f32 x #s(literal 1 binary32)) (*.f32 x (-.f32 x #s(literal 1 binary32)))))
(+.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 x x))
(log.f32 (+.f32 x (sqrt.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (+.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 x x))))))
(+.f32 x (sqrt.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (+.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 x x)))))
(sqrt.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (+.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 x x))))
(/.f32 #s(literal 1/4 binary32) (*.f32 x x))
(/.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (+.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 x x)))

Outputs
(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))))
(+ (log 1/2) (* -1 (log x)))
(/ 1/2 x)
(/ -1/4 (pow x 2))
(/ (- (* (pow x 2) (+ (log 2) (log x))) 1/4) (pow x 2))
(+ (log 2) (log x))
(log x)
-1
(- (pow x 2) 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) (* 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
(+ 1 (pow x 2))
(+ 1 (* (pow x 2) (+ 1 (pow x 2))))
(/ 1/4 (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))))
(* -1 (+ (log 1/2) (log (/ 1 x))))
(+ (log 1/2) (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(pow x 2)
(* (pow x 2) (- 1 (/ 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 4)
(* (pow x 4) (+ 1 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))
(+ (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))))
(+ (log -1) (+ (log 2) (* -1 (log (/ -1 x)))))
(- (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x))))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -1) (* -1 (log (/ -1 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))))))

Calls

3 calls:

Time

Variable

Point

Expression

174.0ms

-inf

((log (+ x (sqrt (- (* x x) 1)))) (neg (log (/ 1/2 x))) (log (/ 1/2 x)) (/ 1/2 x) (log (+ x (sqrt (- (* x x) 1)))) (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (+ (log x) (log 2)) (log x) (+ (- x 1) (* x (- x 1))) (log (+ x (sqrt (+ (- x 1) (* x (- x 1)))))) (+ x (sqrt (+ (- x 1) (* x (- x 1))))) (sqrt (+ (- x 1) (* x (- x 1)))) (+ (+ (pow x 4) 1) (* x x)) (log (+ x (sqrt (/ (- (pow x 6) 1) (+ (+ (pow x 4) 1) (* x x)))))) (+ x (sqrt (/ (- (pow x 6) 1) (+ (+ (pow x 4) 1) (* x x))))) (sqrt (/ (- (pow x 6) 1) (+ (+ (pow x 4) 1) (* x x)))) (/ 1/4 (* x x)) (/ (- (pow x 6) 1) (+ (+ (pow x 4) 1) (* x x))))

135.0ms

((log (+ x (sqrt (- (* x x) 1)))) (neg (log (/ 1/2 x))) (log (/ 1/2 x)) (/ 1/2 x) (log (+ x (sqrt (- (* x x) 1)))) (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (+ (log x) (log 2)) (log x) (+ (- x 1) (* x (- x 1))) (log (+ x (sqrt (+ (- x 1) (* x (- x 1)))))) (+ x (sqrt (+ (- x 1) (* x (- x 1))))) (sqrt (+ (- x 1) (* x (- x 1)))) (+ (+ (pow x 4) 1) (* x x)) (log (+ x (sqrt (/ (- (pow x 6) 1) (+ (+ (pow x 4) 1) (* x x)))))) (+ x (sqrt (/ (- (pow x 6) 1) (+ (+ (pow x 4) 1) (* x x))))) (sqrt (/ (- (pow x 6) 1) (+ (+ (pow x 4) 1) (* x x)))) (/ 1/4 (* x x)) (/ (- (pow x 6) 1) (+ (+ (pow x 4) 1) (* x x))))

81.0ms

inf

((log (+ x (sqrt (- (* x x) 1)))) (neg (log (/ 1/2 x))) (log (/ 1/2 x)) (/ 1/2 x) (log (+ x (sqrt (- (* x x) 1)))) (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (+ (log x) (log 2)) (log x) (+ (- x 1) (* x (- x 1))) (log (+ x (sqrt (+ (- x 1) (* x (- x 1)))))) (+ x (sqrt (+ (- x 1) (* x (- x 1))))) (sqrt (+ (- x 1) (* x (- x 1)))) (+ (+ (pow x 4) 1) (* x x)) (log (+ x (sqrt (/ (- (pow x 6) 1) (+ (+ (pow x 4) 1) (* x x)))))) (+ x (sqrt (/ (- (pow x 6) 1) (+ (+ (pow x 4) 1) (* x x))))) (sqrt (/ (- (pow x 6) 1) (+ (+ (pow x 4) 1) (* x x)))) (/ 1/4 (* x x)) (/ (- (pow x 6) 1) (+ (+ (pow x 4) 1) (* x x))))

simplify378.0ms (5.7%)

Memory

21.0MiB live, 134.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	180	665
1	503	632
2	1374	615
3	4175	590
0	8432	566

Stop Event

1×	iter limit
1×	node limit

Counts

59 → 58

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

rewrite276.0ms (4.2%)

Memory

-12.5MiB live, 189.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	192
0	62	134
1	260	131
2	2048	131
0	8449	118

Stop Event

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

Counts

18 → 764

Calls

Call 1

Inputs
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (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(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))))
(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))
(log.f32 x)
(+.f32 (-.f32 x #s(literal 1 binary32)) (*.f32 x (-.f32 x #s(literal 1 binary32))))
(log.f32 (+.f32 x (sqrt.f32 (+.f32 (-.f32 x #s(literal 1 binary32)) (*.f32 x (-.f32 x #s(literal 1 binary32)))))))
(+.f32 x (sqrt.f32 (+.f32 (-.f32 x #s(literal 1 binary32)) (*.f32 x (-.f32 x #s(literal 1 binary32))))))
(sqrt.f32 (+.f32 (-.f32 x #s(literal 1 binary32)) (*.f32 x (-.f32 x #s(literal 1 binary32)))))
(+.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 x x))
(log.f32 (+.f32 x (sqrt.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (+.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 x x))))))
(+.f32 x (sqrt.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (+.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 x x)))))
(sqrt.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (+.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 x x))))
(/.f32 #s(literal 1/4 binary32) (*.f32 x x))
(/.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (+.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 x x)))

Outputs
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (log.f32 (*.f32 #s(literal 2 binary32) x)))
(log.f32 (*.f32 #s(literal 2 binary32) x))
(*.f32 (-.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 x #s(literal 2 binary32)))))
(*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) x)))
(*.f32 (+.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 x) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (log.f32 #s(literal 2 binary32)) (log.f32 (/.f32 #s(literal 2 binary32) x)) (pow.f32 (log.f32 x) #s(literal 2 binary32)))))
(*.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)) #s(literal -1 binary32))
(/.f32 (-.f32 (.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (log.f32 (/.f32 x #s(literal 2 binary32)))) (.f32 (log.f32 (/.f32 x #s(literal 2 binary32))) (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)))) (pow.f32 (log.f32 (/.f32 x #s(literal 2 binary32))) #s(literal 2 binary32)))
(/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) x)) #s(literal 2 binary32))) (log.f32 (/.f32 #s(literal 1/2 binary32) x)))
(/.f32 (-.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (pow.f32 (log.f32 x) #s(literal 2 binary32))) (log.f32 (/.f32 #s(literal 2 binary32) x)))
(/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (+.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 2 binary32)) (.f32 #s(literal 0 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) x))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)))) (neg.f32 (log.f32 (/.f32 x #s(literal 2 binary32)))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 x) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (log.f32 #s(literal 2 binary32)) (log.f32 (/.f32 #s(literal 2 binary32) x)) (pow.f32 (log.f32 x) #s(literal 2 binary32)))))
(/.f32 (-.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32))) (log.f32 (/.f32 x #s(literal 2 binary32))))
(/.f32 (+.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 x) #s(literal 3 binary32))) (fma.f32 (log.f32 #s(literal 2 binary32)) (log.f32 #s(literal 2 binary32)) (-.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (*.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x)))))
(/.f32 (+.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 x) #s(literal 3 binary32))) (fma.f32 (log.f32 #s(literal 2 binary32)) (log.f32 (/.f32 #s(literal 2 binary32) x)) (pow.f32 (log.f32 x) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (log.f32 (/.f32 x #s(literal 2 binary32))) (-.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (log.f32 #s(literal 2 binary32)) (log.f32 (/.f32 #s(literal 2 binary32) x)) (pow.f32 (log.f32 x) #s(literal 2 binary32))) (+.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 x) #s(literal 3 binary32)))))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (neg.f32 (/.f32 #s(literal 1/2 binary32) x))))
(-.f32 (/.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (log.f32 (/.f32 x #s(literal 2 binary32)))) (/.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (log.f32 (/.f32 x #s(literal 2 binary32)))))
(-.f32 (log.f32 (neg.f32 x)) (log.f32 #s(literal -1/2 binary32)))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) #s(literal 1 binary32))))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) x)))
(-.f32 (log.f32 #s(literal 2 binary32)) (neg.f32 (log.f32 x)))
(-.f32 (log.f32 x) (log.f32 #s(literal 1/2 binary32)))
(pow.f32 (/.f32 (log.f32 (/.f32 x #s(literal 2 binary32))) (-.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 (log.f32 #s(literal 2 binary32)) (log.f32 (/.f32 #s(literal 2 binary32) x)) (pow.f32 (log.f32 x) #s(literal 2 binary32))) (+.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 x) #s(literal 3 binary32)))) #s(literal -1 binary32))
(+.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (neg.f32 x)))
(+.f32 (-.f32 #s(literal 0 binary32) (log.f32 #s(literal 1/2 binary32))) (log.f32 x))
(+.f32 #s(literal 0 binary32) (log.f32 (*.f32 #s(literal 2 binary32) x)))
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))
(neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) #s(literal 1 binary32))))
(neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)))
(log.f32 (/.f32 #s(literal 1/2 binary32) x))
(.f32 #s(literal -1 binary32) (log.f32 (.f32 #s(literal 2 binary32) x)))
(/.f32 (-.f32 (pow.f32 (log.f32 #s(literal 1/2 binary32)) #s(literal 2 binary32)) (pow.f32 (log.f32 x) #s(literal 2 binary32))) (log.f32 (*.f32 #s(literal 1/2 binary32) x)))
(/.f32 (-.f32 (pow.f32 (log.f32 #s(literal 1/2 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 x) #s(literal 3 binary32))) (fma.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 #s(literal 1/2 binary32)) (fma.f32 (log.f32 x) (log.f32 x) (*.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 x)))))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (neg.f32 (*.f32 #s(literal 2 binary32) x))))
(-.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (neg.f32 x)))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) #s(literal 1 binary32))))
(-.f32 #s(literal 0 binary32) (log.f32 (*.f32 #s(literal 2 binary32) x)))
(-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (neg.f32 (neg.f32 x))))
(-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 x))
(fma.f32 #s(literal -1 binary32) (log.f32 x) (log.f32 #s(literal 1/2 binary32)))
(+.f32 (neg.f32 (log.f32 x)) (log.f32 #s(literal 1/2 binary32)))
(+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (neg.f32 x))))
(+.f32 #s(literal 0 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) x)))
(+.f32 (log.f32 #s(literal 1/2 binary32)) (neg.f32 (log.f32 x)))
(neg.f32 (log.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) #s(literal 1 binary32))))
(neg.f32 (log.f32 (*.f32 #s(literal 2 binary32) x)))
(*.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1/2 binary32))
(*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 x)))
(*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) x))
(/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 #s(literal 2 binary32) x)))
(/.f32 #s(literal -1/2 binary32) (neg.f32 x))
(/.f32 #s(literal 1/2 binary32) (neg.f32 (neg.f32 x)))
(/.f32 #s(literal 1/2 binary32) x)
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 2 binary32) x) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) x))
(pow.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (*.f32 #s(literal 2 binary32) x) #s(literal -1 binary32))
(pow.f32 (/.f32 #s(literal 1/2 binary32) x) #s(literal 1 binary32))
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(/.f32 (-.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 x #s(literal 1 binary32)) x)) #s(literal 3 binary32))) (fma.f32 x x (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 x #s(literal 1 binary32)) x)) #s(literal 2 binary32)) (.f32 x (-.f32 #s(literal 1 binary32) (.f32 (-.f32 x #s(literal 1 binary32)) x))))))
(/.f32 (-.f32 (.f32 (pow.f32 x #s(literal 18 binary32)) (pow.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) #s(literal -3 binary32))) (pow.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) #s(literal -3 binary32))) (+.f32 (pow.f32 (/.f32 (pow.f32 x #s(literal 6 binary32)) (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) #s(literal 2 binary32)) (+.f32 (pow.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) #s(literal -2 binary32)) (.f32 (/.f32 (pow.f32 x #s(literal 6 binary32)) (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))))))))
(/.f32 (neg.f32 (fma.f32 #s(literal -1 binary32) (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))) (neg.f32 (neg.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 (.f32 (-.f32 x #s(literal 1 binary32)) x) #s(literal 2 binary32)))) (neg.f32 (-.f32 (-.f32 x #s(literal 1 binary32)) (.f32 (-.f32 x #s(literal 1 binary32)) x))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (.f32 (-.f32 x #s(literal 1 binary32)) x) #s(literal 3 binary32)) (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (.f32 (-.f32 x #s(literal 1 binary32)) x) (-.f32 (*.f32 (-.f32 x #s(literal 1 binary32)) x) (-.f32 x #s(literal 1 binary32))) (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 2 binary32)))))
(/.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (neg.f32 (fma.f32 x x #s(literal 1 binary32))))
(/.f32 (.f32 (-.f32 (pow.f32 x #s(literal 12 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)) (.f32 (+.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))))
(/.f32 (.f32 (-.f32 (pow.f32 x #s(literal 18 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)) (.f32 (+.f32 (+.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (pow.f32 x #s(literal 12 binary32))) (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))))
(/.f32 (-.f32 (.f32 (pow.f32 x #s(literal 6 binary32)) (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) #s(literal 1 binary32))) (pow.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) #s(literal 2 binary32)))
(/.f32 (-.f32 (pow.f32 x #s(literal 12 binary32)) #s(literal 1 binary32)) (*.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (+.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))))
(/.f32 (-.f32 (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 (.f32 (-.f32 x #s(literal 1 binary32)) x) #s(literal 2 binary32))) (-.f32 (-.f32 x #s(literal 1 binary32)) (.f32 (-.f32 x #s(literal 1 binary32)) x)))
(/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 (*.f32 x x) #s(literal -1 binary32)))
(/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32)))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32)))))
(/.f32 (-.f32 (pow.f32 x #s(literal 18 binary32)) #s(literal 1 binary32)) (*.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (+.f32 (+.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (pow.f32 x #s(literal 12 binary32)))))
(/.f32 (+.f32 (pow.f32 (.f32 (-.f32 x #s(literal 1 binary32)) x) #s(literal 3 binary32)) (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 3 binary32))) (+.f32 (pow.f32 (.f32 (-.f32 x #s(literal 1 binary32)) x) #s(literal 2 binary32)) (-.f32 (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 2 binary32)) x))))
(/.f32 (+.f32 (pow.f32 (.f32 (-.f32 x #s(literal 1 binary32)) x) #s(literal 3 binary32)) (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 3 binary32))) (fma.f32 (.f32 (-.f32 x #s(literal 1 binary32)) x) (-.f32 (*.f32 (-.f32 x #s(literal 1 binary32)) x) (-.f32 x #s(literal 1 binary32))) (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 2 binary32))))
(/.f32 (fma.f32 #s(literal -1 binary32) (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (neg.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))))
(/.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 x #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) (.f32 (.f32 x x) #s(literal -1 binary32)))))
(/.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (-.f32 x #s(literal 1 binary32)) (.f32 (-.f32 x #s(literal 1 binary32)) x)) (-.f32 (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 (.f32 (-.f32 x #s(literal 1 binary32)) x) #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 (-.f32 x #s(literal 1 binary32)) x) (-.f32 (.f32 (-.f32 x #s(literal 1 binary32)) x) (-.f32 x #s(literal 1 binary32))) (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 2 binary32))) (+.f32 (pow.f32 (*.f32 (-.f32 x #s(literal 1 binary32)) x) #s(literal 3 binary32)) (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 3 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32))))
(-.f32 (fma.f32 (-.f32 x #s(literal 1 binary32)) x x) #s(literal 1 binary32))
(-.f32 (/.f32 (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 2 binary32)) (-.f32 (-.f32 x #s(literal 1 binary32)) (.f32 (-.f32 x #s(literal 1 binary32)) x))) (/.f32 (pow.f32 (.f32 (-.f32 x #s(literal 1 binary32)) x) #s(literal 2 binary32)) (-.f32 (-.f32 x #s(literal 1 binary32)) (*.f32 (-.f32 x #s(literal 1 binary32)) x))))
(-.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32))))
(-.f32 (/.f32 (pow.f32 x #s(literal 6 binary32)) (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))))
(-.f32 (*.f32 x x) #s(literal 1 binary32))
(-.f32 x (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 x #s(literal 1 binary32)) x)))
(fma.f32 (/.f32 (pow.f32 x #s(literal 6 binary32)) (-.f32 (pow.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 x #s(literal 4 binary32)))) (-.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 x x)) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))))))
(fma.f32 (/.f32 (pow.f32 x #s(literal 6 binary32)) (+.f32 (pow.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) #s(literal 3 binary32)) (pow.f32 x #s(literal 6 binary32)))) (fma.f32 (.f32 x x) (-.f32 (.f32 x x) (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (pow.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32))) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))))))
(fma.f32 (+.f32 #s(literal 1 binary32) x) (/.f32 (-.f32 x #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) x)) (*.f32 (-.f32 x #s(literal 1 binary32)) x))
(fma.f32 (+.f32 #s(literal 1 binary32) x) x (*.f32 (+.f32 #s(literal 1 binary32) x) #s(literal -1 binary32)))
(fma.f32 (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 x x (+.f32 #s(literal 1 binary32) x))) (*.f32 (-.f32 x #s(literal 1 binary32)) x))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))))))
(fma.f32 (pow.f32 x #s(literal 6 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))))))
(fma.f32 (fma.f32 x x #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) x)) (*.f32 (-.f32 x #s(literal 1 binary32)) x))
(fma.f32 (-.f32 x #s(literal 1 binary32)) x (-.f32 x #s(literal 1 binary32)))
(fma.f32 (*.f32 x x) #s(literal 1 binary32) #s(literal -1 binary32))
(fma.f32 #s(literal 1 binary32) (*.f32 x x) #s(literal -1 binary32))
(fma.f32 #s(literal 1 binary32) x (+.f32 #s(literal -1 binary32) (*.f32 (-.f32 x #s(literal 1 binary32)) x)))
(fma.f32 #s(literal 1 binary32) x (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 x #s(literal 1 binary32)) x))))
(fma.f32 x (+.f32 #s(literal 1 binary32) x) (*.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) x)))
(fma.f32 x (-.f32 x #s(literal 1 binary32)) (-.f32 x #s(literal 1 binary32)))
(fma.f32 x #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (*.f32 (-.f32 x #s(literal 1 binary32)) x)))
(fma.f32 x #s(literal 1 binary32) (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 x #s(literal 1 binary32)) x))))
(fma.f32 x x #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32))) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 (-.f32 (-.f32 x #s(literal 1 binary32)) (.f32 (-.f32 x #s(literal 1 binary32)) x)) (-.f32 (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 (.f32 (-.f32 x #s(literal 1 binary32)) x) #s(literal 2 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 (.f32 (-.f32 x #s(literal 1 binary32)) x) (-.f32 (.f32 (-.f32 x #s(literal 1 binary32)) x) (-.f32 x #s(literal 1 binary32))) (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 2 binary32))) (+.f32 (pow.f32 (*.f32 (-.f32 x #s(literal 1 binary32)) x) #s(literal 3 binary32)) (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 3 binary32)))) #s(literal -1 binary32))
(pow.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 2 binary32)) #s(literal 1/2 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32))) #s(literal -1 binary32))
(pow.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) #s(literal 2 binary32))
(pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1 binary32))
(fabs.f32 (fma.f32 x x #s(literal -1 binary32)))
(+.f32 (fma.f32 (-.f32 x #s(literal 1 binary32)) x x) #s(literal -1 binary32))
(+.f32 (.f32 x (+.f32 #s(literal 1 binary32) x)) (.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) x)))
(+.f32 (.f32 (+.f32 #s(literal 1 binary32) x) x) (.f32 (+.f32 #s(literal 1 binary32) x) #s(literal -1 binary32)))
(+.f32 #s(literal -1 binary32) (*.f32 x x))
(+.f32 (/.f32 (pow.f32 x #s(literal 6 binary32)) (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))))))
(+.f32 (*.f32 (-.f32 x #s(literal 1 binary32)) x) (-.f32 x #s(literal 1 binary32)))
(+.f32 (-.f32 x #s(literal 1 binary32)) (*.f32 (-.f32 x #s(literal 1 binary32)) x))
(+.f32 (*.f32 x x) #s(literal -1 binary32))
(+.f32 x (+.f32 #s(literal -1 binary32) (*.f32 (-.f32 x #s(literal 1 binary32)) x)))
(+.f32 x (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 x #s(literal 1 binary32)) x))))
(exp.f32 (*.f32 (log.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 2 binary32))) #s(literal 1/2 binary32)))
(exp.f32 (*.f32 (log.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32)))) #s(literal -1 binary32)))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal 2 binary32)))
(exp.f32 (*.f32 (log.f32 (fma.f32 x x #s(literal -1 binary32))) #s(literal 1 binary32)))
(exp.f32 (log.f32 (fma.f32 x x #s(literal -1 binary32))))
(neg.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))))
(neg.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (neg.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))))))

eval71.0ms (1.1%)

Memory: 5.9MiB live, 115.0MiB allocated
Compiler: Compiled 16 015 to 2 524 computations (84.2% saved)

prune26.0ms (0.4%)

Memory

-30.5MiB live, 33.0MiB allocated

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	541	3	544
Fresh	0	0	0
Picked	2	2	4
Done	0	3	3
Total	543	8	551

Accuracy

100.0%

Counts

551 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	22.5%	(log.f32 (+.f32 x (sqrt.f32 (/.f32 (-.f32 (.f32 x x) (pow.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 x #s(literal 1 binary32)) x)) #s(literal 2 binary32))) (+.f32 x (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 x #s(literal 1 binary32)) x)))))))
✓	52.1%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
✓	52.1%	(log.f32 (+.f32 x (sqrt.f32 (+.f32 (-.f32 x #s(literal 1 binary32)) (*.f32 x (-.f32 x #s(literal 1 binary32)))))))
✓	98.6%	(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))))
✓	97.6%	(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x)))
▶	98.6%	#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))))
✓	98.3%	#s(approx (log (+ x (sqrt (- (* x x) 1)))) (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x))))
▶	5.4%	#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))))

Compiler

Compiled 139 to 96 computations (30.9% saved)

simplify166.0ms (2.5%)

Memory

18.8MiB live, 208.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score
cost-diff	64	(-.f32 #s(literal 1 binary32) (*.f32 (-.f32 x #s(literal 1 binary32)) x))
cost-diff	96	(+.f32 x (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 x #s(literal 1 binary32)) x)))
cost-diff	1088	(/.f32 (-.f32 (.f32 x x) (pow.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 x #s(literal 1 binary32)) x)) #s(literal 2 binary32))) (+.f32 x (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 x #s(literal 1 binary32)) x))))
cost-diff	3136	(-.f32 (.f32 x x) (pow.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 x #s(literal 1 binary32)) x)) #s(literal 2 binary32)))
cost-diff	0	(*.f32 #s(literal 2 binary32) x)
cost-diff	0	(log.f32 (*.f32 #s(literal 2 binary32) x))
cost-diff	0	(-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (.f32 x x)))
cost-diff	0	#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))))
cost-diff	0	(*.f32 x x)
cost-diff	0	(/.f32 #s(literal -1/4 binary32) (*.f32 x x))
cost-diff	0	#s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))
cost-diff	0	#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	254
0	51	254
1	86	254
2	157	254
3	384	249
4	1204	180
5	3852	180
0	8252	169

Stop Event

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

Calls

Call 1

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

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

localize71.0ms (1.1%)

Memory

23.3MiB live, 144.6MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.2416100198878053	(log.f32 (+.f32 x (sqrt.f32 (/.f32 (-.f32 (.f32 x x) (pow.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 x #s(literal 1 binary32)) x)) #s(literal 2 binary32))) (+.f32 x (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 x #s(literal 1 binary32)) x)))))))
accuracy	14.047141619334012	(sqrt.f32 (/.f32 (-.f32 (.f32 x x) (pow.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 x #s(literal 1 binary32)) x)) #s(literal 2 binary32))) (+.f32 x (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 x #s(literal 1 binary32)) x)))))
accuracy	16.39627147191067	(-.f32 (.f32 x x) (pow.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 x #s(literal 1 binary32)) x)) #s(literal 2 binary32)))
accuracy	19.069982951296375	(/.f32 (-.f32 (.f32 x x) (pow.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 x #s(literal 1 binary32)) x)) #s(literal 2 binary32))) (+.f32 x (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 x #s(literal 1 binary32)) x))))
accuracy	0.0234375	(-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (.f32 x x)))
accuracy	0.213391302508278	#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))))
accuracy	0.2337975198878053	(log.f32 (*.f32 #s(literal 2 binary32) x))
accuracy	0.6765660206874455	(/.f32 #s(literal 1/4 binary32) (*.f32 x x))
accuracy	0	(*.f32 x x)
accuracy	0.213391302508278	#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))))
accuracy	0.6765660206874455	(/.f32 #s(literal -1/4 binary32) (*.f32 x x))
accuracy	30.2724697345426	#s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))

Samples

52.0ms

256×

valid

Compiler

Compiled 475 to 68 computations (85.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-log: 11.0ms (29.1% of total)

ival-sub: 6.0ms (15.9% of total)

ival-div: 5.0ms (13.2% of total)

ival-mult: 5.0ms (13.2% of total)

ival-add: 4.0ms (10.6% of total)

ival-sqrt: 3.0ms (7.9% of total)

ival-pow2: 2.0ms (5.3% of total)

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

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

exact: 0.0ms (0% of total)

series81.0ms (1.2%)

Memory

-14.0MiB live, 101.3MiB allocated

Counts

15 → 55

Calls

Call 1

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

Outputs
(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)))))
(/ -1/4 (pow x 2))
(/ (- (* (pow x 2) (+ (log 2) (log x))) 1/4) (pow x 2))
(pow x 2)
(+ (log 2) (log x))
(* 2 x)
-1
(- (* -2 x) 1)
(- (* x (- (* 2 x) 2)) 1)
(- (* x (- (* x (+ 2 (* 2 x))) 2)) 1)
(- (pow x 2) 1)
1
(+ 1 (* 2 x))
(+ 1 (* x (+ 2 (* -1 x))))
(+ 1 x)
(+ 1 (* x (+ 1 (* -1 x))))
(/ 1/4 (pow x 2))
(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 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 (pow x 4))
(* (pow x 4) (- (* 2 (/ 1 x)) 1))
(* (pow x 4) (- (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))) 1))
(* (pow x 4) (- (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))) (+ 1 (* 2 (/ 1 (pow x 3))))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* -1 (pow x 2))
(* (pow x 2) (- (* 2 (/ 1 x)) 1))
(* (pow x 2) (- (+ (* 2 (/ 1 x)) (/ 1 (pow x 2))) 1))
(* (pow x 2) (- (/ 1 x) 1))
(* (pow x 2) (- (+ (/ 1 x) (/ 1 (pow x 2))) 1))
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 -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))))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -2) (* -1 (log (/ -1 x))))
(- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))
(* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- 2 (* 2 (/ 1 x))) x)) 2) x)) 1))
(* -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))))))

Calls

3 calls:

Time

Variable

Point

Expression

53.0ms

-inf

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

14.0ms

inf

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

13.0ms

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

simplify196.0ms (3%)

Memory

-15.3MiB live, 228.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	186	619
1	494	591
2	1345	581
3	4004	548
0	8270	519

Stop Event

1×	iter limit
1×	node limit

Counts

55 → 54

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

rewrite153.0ms (2.3%)

Memory

42.5MiB live, 232.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	197
0	51	195
1	225	153
2	1806	153
0	8366	147

Stop Event

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

Counts

15 → 508

Calls

Call 1

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

Outputs
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal -1/4 binary32))))
#s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal -1/4 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1/4 binary32) x))
(*.f32 (/.f32 #s(literal -1/4 binary32) x) (/.f32 #s(literal 1 binary32) x))
(.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/4 binary32) (.f32 x x)))
(*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal -1/4 binary32))
(*.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal -2 binary32)))
(*.f32 #s(literal 1/4 binary32) (neg.f32 (pow.f32 x #s(literal -2 binary32))))
(.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (.f32 (neg.f32 x) x)))
(.f32 #s(literal 1 binary32) (.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal -1/4 binary32)))
(/.f32 (neg.f32 (neg.f32 (/.f32 #s(literal -1/4 binary32) x))) (neg.f32 (neg.f32 x)))
(/.f32 (neg.f32 (neg.f32 (/.f32 #s(literal 1/4 binary32) x))) (neg.f32 x))
(/.f32 (neg.f32 (/.f32 #s(literal 1/4 binary32) x)) (neg.f32 (neg.f32 x)))
(/.f32 (neg.f32 (/.f32 #s(literal 1/4 binary32) x)) x)
(/.f32 (neg.f32 (/.f32 #s(literal -1/4 binary32) x)) (neg.f32 x))
(/.f32 (/.f32 #s(literal 1/4 binary32) x) (neg.f32 x))
(/.f32 (/.f32 #s(literal -1/4 binary32) x) x)
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 x (/.f32 #s(literal -1/4 binary32) x))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (.f32 (.f32 x x) #s(literal -4 binary32)) #s(literal 1 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (neg.f32 (.f32 (.f32 x x) #s(literal 4 binary32)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (.f32 (.f32 x x) #s(literal -4 binary32))))
(/.f32 #s(literal -1 binary32) (.f32 (.f32 x x) #s(literal 4 binary32)))
(/.f32 #s(literal -1/4 binary32) (neg.f32 (*.f32 (neg.f32 x) x)))
(/.f32 #s(literal -1/4 binary32) (*.f32 x x))
(/.f32 #s(literal 1/4 binary32) (neg.f32 (neg.f32 (*.f32 (neg.f32 x) x))))
(/.f32 #s(literal 1/4 binary32) (*.f32 (neg.f32 x) x))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (.f32 (.f32 x x) #s(literal -4 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 #s(literal -1/4 binary32) x)))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 x x) #s(literal -4 binary32)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (neg.f32 (.f32 (.f32 x x) #s(literal 4 binary32))))
(/.f32 #s(literal 1 binary32) (.f32 (.f32 x x) #s(literal -4 binary32)))
(-.f32 #s(literal 0 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
(pow.f32 (/.f32 x (/.f32 #s(literal -1/4 binary32) x)) #s(literal -1 binary32))
(pow.f32 (/.f32 (.f32 (.f32 x x) #s(literal -4 binary32)) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (neg.f32 (.f32 (.f32 x x) #s(literal 4 binary32))) #s(literal -1 binary32))
(pow.f32 (.f32 (.f32 x x) #s(literal -4 binary32)) #s(literal -1 binary32))
(exp.f32 (.f32 (log.f32 (.f32 (*.f32 x x) #s(literal -4 binary32))) #s(literal -1 binary32)))
(neg.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
(*.f32 (exp.f32 (log.f32 x)) (exp.f32 (log.f32 x)))
(.f32 (.f32 x x) #s(literal 1 binary32))
(.f32 #s(literal 1 binary32) (.f32 x x))
(*.f32 x x)
(pow.f32 (exp.f32 (log.f32 x)) #s(literal 2 binary32))
(pow.f32 (*.f32 x x) #s(literal 1 binary32))
(pow.f32 x #s(literal 2 binary32))
(exp.f32 (*.f32 #s(literal 2 binary32) (log.f32 x)))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal -1/4 binary32) (log.f32 (*.f32 #s(literal 2 binary32) x))))
(.f32 (-.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 2 binary32)) (.f32 (pow.f32 x #s(literal -4 binary32)) #s(literal 1/16 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32) (log.f32 (.f32 #s(literal 2 binary32) x)))))
(.f32 (-.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 3 binary32)) (.f32 (pow.f32 x #s(literal -6 binary32)) #s(literal 1/64 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32) (log.f32 (.f32 #s(literal 2 binary32) x))) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 2 binary32)))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (pow.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) #s(literal 2 binary32)))) (neg.f32 (-.f32 (log.f32 x) (-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (log.f32 x) #s(literal 3 binary32)) (pow.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (log.f32 x) (log.f32 x) (-.f32 (pow.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) #s(literal 2 binary32)) (.f32 (log.f32 x) (-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))))))))
(/.f32 (neg.f32 (neg.f32 (-.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 2 binary32)) (.f32 (pow.f32 x #s(literal -4 binary32)) #s(literal 1/16 binary32))))) (neg.f32 (neg.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32) (log.f32 (*.f32 #s(literal 2 binary32) x))))))
(/.f32 (neg.f32 (neg.f32 (-.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 3 binary32)) (.f32 (pow.f32 x #s(literal -6 binary32)) #s(literal 1/64 binary32))))) (neg.f32 (neg.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32) (log.f32 (.f32 #s(literal 2 binary32) x))) (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) x)) #s(literal 2 binary32))))))
(/.f32 (neg.f32 (-.f32 (.f32 (-.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32))) x) (.f32 (log.f32 (/.f32 x #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) x)))) (neg.f32 (*.f32 (log.f32 (/.f32 x #s(literal 2 binary32))) x)))
(/.f32 (neg.f32 (-.f32 (.f32 (-.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32))) (.f32 (neg.f32 x) x)) (.f32 (log.f32 (/.f32 x #s(literal 2 binary32))) #s(literal -1/4 binary32)))) (neg.f32 (.f32 (log.f32 (/.f32 x #s(literal 2 binary32))) (*.f32 (neg.f32 x) x))))
(/.f32 (neg.f32 (-.f32 (.f32 (-.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32))) (.f32 x x)) (.f32 (log.f32 (/.f32 x #s(literal 2 binary32))) #s(literal 1/4 binary32)))) (neg.f32 (.f32 (log.f32 (/.f32 x #s(literal 2 binary32))) (*.f32 x x))))
(/.f32 (neg.f32 (-.f32 (.f32 (-.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32))) (.f32 (.f32 x x) #s(literal 4 binary32))) (.f32 (log.f32 (/.f32 x #s(literal 2 binary32))) #s(literal 1 binary32)))) (neg.f32 (.f32 (log.f32 (/.f32 x #s(literal 2 binary32))) (.f32 (*.f32 x x) #s(literal 4 binary32)))))
(/.f32 (neg.f32 (-.f32 (.f32 (+.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 x) #s(literal 3 binary32))) x) (.f32 (fma.f32 (log.f32 #s(literal 2 binary32)) (log.f32 (/.f32 #s(literal 2 binary32) x)) (pow.f32 (log.f32 x) #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) x)))) (neg.f32 (*.f32 (fma.f32 (log.f32 #s(literal 2 binary32)) (log.f32 (/.f32 #s(literal 2 binary32) x)) (pow.f32 (log.f32 x) #s(literal 2 binary32))) x)))
(/.f32 (neg.f32 (-.f32 (.f32 (+.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 x) #s(literal 3 binary32))) (.f32 (neg.f32 x) x)) (.f32 (fma.f32 (log.f32 #s(literal 2 binary32)) (log.f32 (/.f32 #s(literal 2 binary32) x)) (pow.f32 (log.f32 x) #s(literal 2 binary32))) #s(literal -1/4 binary32)))) (neg.f32 (.f32 (fma.f32 (log.f32 #s(literal 2 binary32)) (log.f32 (/.f32 #s(literal 2 binary32) x)) (pow.f32 (log.f32 x) #s(literal 2 binary32))) (*.f32 (neg.f32 x) x))))
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(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 x x) (pow.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 x #s(literal 1 binary32)) x)) #s(literal 2 binary32))))) (pow.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (+.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 x #s(literal 1 binary32)) x)) x))) #s(literal 1/2 binary32)))
(.f32 (pow.f32 (+.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 x #s(literal 1 binary32)) x)) x) #s(literal -1/2 binary32)) (sqrt.f32 (-.f32 (.f32 x x) (pow.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 x #s(literal 1 binary32)) x)) #s(literal 2 binary32)))))
(.f32 (sqrt.f32 (-.f32 (.f32 x x) (pow.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 x #s(literal 1 binary32)) x)) #s(literal 2 binary32)))) (pow.f32 (+.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 x #s(literal 1 binary32)) x)) x) #s(literal -1/2 binary32)))
(.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 x (-.f32 #s(literal 1 binary32) (.f32 (-.f32 x #s(literal 1 binary32)) x)))))
(sqrt.f32 (-.f32 x (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 x #s(literal 1 binary32)) x))))
(/.f32 (neg.f32 (neg.f32 (sqrt.f32 (-.f32 (.f32 x x) (pow.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 x #s(literal 1 binary32)) x)) #s(literal 2 binary32)))))) (neg.f32 (neg.f32 (sqrt.f32 (+.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 x #s(literal 1 binary32)) x)) x)))))
(/.f32 (neg.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 x x) (pow.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 x #s(literal 1 binary32)) x)) #s(literal 2 binary32)))))) (neg.f32 (sqrt.f32 (neg.f32 (+.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 x #s(literal 1 binary32)) x)) x)))))
(/.f32 (sqrt.f32 (.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 x #s(literal 1 binary32)) x)) #s(literal 4 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 x #s(literal 1 binary32)) x)) x)))) (hypot.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 x #s(literal 1 binary32)) x)) x))
(/.f32 (sqrt.f32 (.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 x #s(literal 1 binary32)) x)) #s(literal 6 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 x #s(literal 1 binary32)) x)) x)))) (sqrt.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 x #s(literal 1 binary32)) x)) #s(literal 2 binary32)) (fma.f32 x x (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 x #s(literal 1 binary32)) x)) #s(literal 2 binary32))) (pow.f32 x #s(literal 4 binary32)))))
(/.f32 (sqrt.f32 (sqrt.f32 (.f32 (-.f32 (.f32 x x) (pow.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 x #s(literal 1 binary32)) x)) #s(literal 2 binary32))) (-.f32 x (-.f32 #s(literal 1 binary32) (.f32 (-.f32 x #s(literal 1 binary32)) x)))))) (sqrt.f32 (sqrt.f32 (+.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 x #s(literal 1 binary32)) x)) x))))
(/.f32 (sqrt.f32 (.f32 (-.f32 (.f32 x x) (pow.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 x #s(literal 1 binary32)) x)) #s(literal 2 binary32))) #s(literal 1 binary32))) (sqrt.f32 (+.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 x #s(literal 1 binary32)) x)) x)))
(/.f32 (sqrt.f32 (sqrt.f32 (.f32 (-.f32 x (-.f32 #s(literal 1 binary32) (.f32 (-.f32 x #s(literal 1 binary32)) x))) (-.f32 (.f32 x x) (pow.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 x #s(literal 1 binary32)) x)) #s(literal 2 binary32)))))) (sqrt.f32 (sqrt.f32 (+.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 x #s(literal 1 binary32)) x)) x))))
(/.f32 (sqrt.f32 (-.f32 (pow.f32 (.f32 x (/.f32 x (+.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 x #s(literal 1 binary32)) x)) x))) #s(literal 2 binary32)) (pow.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 x #s(literal 1 binary32)) x)) #s(literal 2 binary32)) (+.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 x #s(literal 1 binary32)) x)) x)) #s(literal 2 binary32)))) (sqrt.f32 (fma.f32 x (/.f32 x (+.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 x #s(literal 1 binary32)) x)) x)) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 x #s(literal 1 binary32)) x)) #s(literal 2 binary32)) (+.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 x #s(literal 1 binary32)) x)) x)))))
(/.f32 (sqrt.f32 (-.f32 (/.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 (+.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 x #s(literal 1 binary32)) x)) x) #s(literal 3 binary32))) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 x #s(literal 1 binary32)) x)) #s(literal 6 binary32)) (pow.f32 (+.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 x #s(literal 1 binary32)) x)) x) #s(literal 3 binary32))))) (sqrt.f32 (+.f32 (pow.f32 (.f32 x (/.f32 x (+.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 x #s(literal 1 binary32)) x)) x))) #s(literal 2 binary32)) (+.f32 (pow.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 x #s(literal 1 binary32)) x)) #s(literal 2 binary32)) (+.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 x #s(literal 1 binary32)) x)) x)) #s(literal 2 binary32)) (.f32 (.f32 x (/.f32 x (+.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 x #s(literal 1 binary32)) x)) x))) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 x #s(literal 1 binary32)) x)) #s(literal 2 binary32)) (+.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 x #s(literal 1 binary32)) x)) x)))))))
(/.f32 (sqrt.f32 (neg.f32 (neg.f32 (-.f32 (.f32 x x) (pow.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 x #s(literal 1 binary32)) x)) #s(literal 2 binary32)))))) (sqrt.f32 (neg.f32 (neg.f32 (+.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 x #s(literal 1 binary32)) x)) x)))))
(/.f32 (sqrt.f32 (.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 x #s(literal 1 binary32)) x)) #s(literal 4 binary32))) #s(literal 1 binary32))) (sqrt.f32 (.f32 (fma.f32 x x (pow.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 x #s(literal 1 binary32)) x)) #s(literal 2 binary32))) (+.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 x #s(literal 1 binary32)) x)) x))))
(/.f32 (sqrt.f32 (.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 x #s(literal 1 binary32)) x)) #s(literal 6 binary32))) #s(literal 1 binary32))) (sqrt.f32 (.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 x #s(literal 1 binary32)) x)) #s(literal 2 binary32)) (fma.f32 x x (pow.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 x #s(literal 1 binary32)) x)) #s(literal 2 binary32))) (pow.f32 x #s(literal 4 binary32))) (+.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 x #s(literal 1 binary32)) x)) x))))
(/.f32 (sqrt.f32 (-.f32 (.f32 (.f32 x x) (+.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 x #s(literal 1 binary32)) x)) x)) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 x #s(literal 1 binary32)) x)) x) (pow.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 x #s(literal 1 binary32)) x)) #s(literal 2 binary32))))) (+.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 x #s(literal 1 binary32)) x)) x))
(/.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 x #s(literal 1 binary32)) x)) #s(literal 3 binary32)))) (sqrt.f32 (fma.f32 x x (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 x #s(literal 1 binary32)) x)) #s(literal 2 binary32)) (.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 x #s(literal 1 binary32)) x)) x)))))
(/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (-.f32 x (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 x #s(literal 1 binary32)) x)))))))
(/.f32 (neg.f32 (sqrt.f32 (-.f32 (.f32 x x) (pow.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 x #s(literal 1 binary32)) x)) #s(literal 2 binary32))))) (neg.f32 (sqrt.f32 (+.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 x #s(literal 1 binary32)) x)) x))))
(/.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 x x) (pow.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 x #s(literal 1 binary32)) x)) #s(literal 2 binary32))))) (sqrt.f32 (neg.f32 (+.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 x #s(literal 1 binary32)) x)) x))))
(/.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 x #s(literal 1 binary32)) x)) #s(literal 4 binary32)))) (sqrt.f32 (.f32 (+.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 x #s(literal 1 binary32)) x)) x) (fma.f32 x x (pow.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 x #s(literal 1 binary32)) x)) #s(literal 2 binary32))))))
(/.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 x #s(literal 1 binary32)) x)) #s(literal 6 binary32)))) (sqrt.f32 (.f32 (+.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 x #s(literal 1 binary32)) x)) x) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 x #s(literal 1 binary32)) x)) #s(literal 2 binary32)) (fma.f32 x x (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 x #s(literal 1 binary32)) x)) #s(literal 2 binary32))) (pow.f32 x #s(literal 4 binary32))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 x (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 x #s(literal 1 binary32)) x)))))))
(/.f32 (sqrt.f32 (-.f32 (.f32 x x) (pow.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 x #s(literal 1 binary32)) x)) #s(literal 2 binary32)))) (sqrt.f32 (+.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 x #s(literal 1 binary32)) x)) x)))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 x (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 x #s(literal 1 binary32)) x)))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 x (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 x #s(literal 1 binary32)) x))))))
(pow.f32 (pow.f32 (-.f32 x (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 x #s(literal 1 binary32)) x))) #s(literal 1/4 binary32)) #s(literal 2 binary32))
(pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 x (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 x #s(literal 1 binary32)) x))))) #s(literal -1 binary32))
(pow.f32 (pow.f32 (-.f32 x (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 x #s(literal 1 binary32)) x))) #s(literal 2 binary32)) #s(literal 1/4 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 x (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 x #s(literal 1 binary32)) x)))) #s(literal -1/2 binary32))
(pow.f32 (sqrt.f32 (-.f32 x (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 x #s(literal 1 binary32)) x)))) #s(literal 1 binary32))
(pow.f32 (-.f32 x (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 x #s(literal 1 binary32)) x))) #s(literal 1/2 binary32))
(fabs.f32 (sqrt.f32 (-.f32 x (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 x #s(literal 1 binary32)) x)))))
(exp.f32 (log.f32 (sqrt.f32 (-.f32 x (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 x #s(literal 1 binary32)) x))))))
(log.f32 (+.f32 (sqrt.f32 (-.f32 x (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 x #s(literal 1 binary32)) x)))) x))
(-.f32 (log.f32 (-.f32 (-.f32 x (-.f32 #s(literal 1 binary32) (.f32 (-.f32 x #s(literal 1 binary32)) x))) (.f32 x x))) (log.f32 (-.f32 (sqrt.f32 (-.f32 x (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 x #s(literal 1 binary32)) x)))) x)))
(-.f32 (log.f32 (neg.f32 (-.f32 (.f32 x x) (-.f32 x (-.f32 #s(literal 1 binary32) (.f32 (-.f32 x #s(literal 1 binary32)) x)))))) (log.f32 (neg.f32 (-.f32 x (sqrt.f32 (-.f32 x (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 x #s(literal 1 binary32)) x))))))))
(-.f32 (log.f32 (neg.f32 (+.f32 (pow.f32 (-.f32 x (-.f32 #s(literal 1 binary32) (.f32 (-.f32 x #s(literal 1 binary32)) x))) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32))))) (log.f32 (neg.f32 (-.f32 (fma.f32 x x (-.f32 x (-.f32 #s(literal 1 binary32) (.f32 (-.f32 x #s(literal 1 binary32)) x)))) (.f32 (sqrt.f32 (-.f32 x (-.f32 #s(literal 1 binary32) (.f32 (-.f32 x #s(literal 1 binary32)) x)))) x)))))
(-.f32 (log.f32 (-.f32 (.f32 x x) (-.f32 x (-.f32 #s(literal 1 binary32) (.f32 (-.f32 x #s(literal 1 binary32)) x))))) (log.f32 (-.f32 x (sqrt.f32 (-.f32 x (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 x #s(literal 1 binary32)) x)))))))
(-.f32 (log.f32 (+.f32 (pow.f32 (-.f32 x (-.f32 #s(literal 1 binary32) (.f32 (-.f32 x #s(literal 1 binary32)) x))) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32)))) (log.f32 (+.f32 (-.f32 x (-.f32 #s(literal 1 binary32) (.f32 (-.f32 x #s(literal 1 binary32)) x))) (-.f32 (.f32 x x) (.f32 (sqrt.f32 (-.f32 x (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 x #s(literal 1 binary32)) x)))) x)))))
(-.f32 (log.f32 (+.f32 (pow.f32 (-.f32 x (-.f32 #s(literal 1 binary32) (.f32 (-.f32 x #s(literal 1 binary32)) x))) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32)))) (log.f32 (-.f32 (fma.f32 x x (-.f32 x (-.f32 #s(literal 1 binary32) (.f32 (-.f32 x #s(literal 1 binary32)) x)))) (.f32 (sqrt.f32 (-.f32 x (-.f32 #s(literal 1 binary32) (.f32 (-.f32 x #s(literal 1 binary32)) x)))) x))))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (-.f32 x (sqrt.f32 (-.f32 x (-.f32 #s(literal 1 binary32) (.f32 (-.f32 x #s(literal 1 binary32)) x))))) (-.f32 (.f32 x x) (-.f32 x (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 x #s(literal 1 binary32)) x)))))))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (-.f32 (fma.f32 x x (-.f32 x (-.f32 #s(literal 1 binary32) (.f32 (-.f32 x #s(literal 1 binary32)) x)))) (.f32 (sqrt.f32 (-.f32 x (-.f32 #s(literal 1 binary32) (.f32 (-.f32 x #s(literal 1 binary32)) x)))) x)) (+.f32 (pow.f32 (-.f32 x (-.f32 #s(literal 1 binary32) (.f32 (-.f32 x #s(literal 1 binary32)) x))) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32))))))
(+.f32 (log.f32 (-.f32 (.f32 x x) (-.f32 x (-.f32 #s(literal 1 binary32) (.f32 (-.f32 x #s(literal 1 binary32)) x))))) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 x (sqrt.f32 (-.f32 x (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 x #s(literal 1 binary32)) x))))))))
(+.f32 (log.f32 (+.f32 (pow.f32 (-.f32 x (-.f32 #s(literal 1 binary32) (.f32 (-.f32 x #s(literal 1 binary32)) x))) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32)))) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 x x (-.f32 x (-.f32 #s(literal 1 binary32) (.f32 (-.f32 x #s(literal 1 binary32)) x)))) (.f32 (sqrt.f32 (-.f32 x (-.f32 #s(literal 1 binary32) (.f32 (-.f32 x #s(literal 1 binary32)) x)))) x)))))
(neg.f32 (log.f32 (/.f32 (-.f32 x (sqrt.f32 (-.f32 x (-.f32 #s(literal 1 binary32) (.f32 (-.f32 x #s(literal 1 binary32)) x))))) (-.f32 (.f32 x x) (-.f32 x (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 x #s(literal 1 binary32)) x)))))))
(neg.f32 (log.f32 (/.f32 (-.f32 (fma.f32 x x (-.f32 x (-.f32 #s(literal 1 binary32) (.f32 (-.f32 x #s(literal 1 binary32)) x)))) (.f32 (sqrt.f32 (-.f32 x (-.f32 #s(literal 1 binary32) (.f32 (-.f32 x #s(literal 1 binary32)) x)))) x)) (+.f32 (pow.f32 (-.f32 x (-.f32 #s(literal 1 binary32) (.f32 (-.f32 x #s(literal 1 binary32)) x))) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32))))))

eval110.0ms (1.7%)

Memory: -21.7MiB live, 168.3MiB allocated
Compiler: Compiled 23 838 to 3 201 computations (86.6% saved)

prune16.0ms (0.2%)

Memory

3.5MiB live, 55.4MiB allocated

Pruning

11 alts after pruning (3 fresh and 8 done)

	Pruned	Kept	Total
New	616	3	619
Fresh	0	0	0
Picked	0	3	3
Done	0	5	5
Total	616	11	627

Accuracy

100.0%

Counts

627 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	22.5%	(log.f32 (+.f32 x (sqrt.f32 (/.f32 (-.f32 (.f32 x x) (pow.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 x #s(literal 1 binary32)) x)) #s(literal 2 binary32))) (+.f32 x (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 x #s(literal 1 binary32)) x)))))))
✓	52.1%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
✓	52.1%	(log.f32 (+.f32 x (sqrt.f32 (+.f32 (-.f32 x #s(literal 1 binary32)) (*.f32 x (-.f32 x #s(literal 1 binary32)))))))
✓	98.6%	(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))))
✓	97.6%	(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x)))
✓	98.6%	#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))))
✓	98.3%	#s(approx (log (+ x (sqrt (- (* x x) 1)))) (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x))))
	5.4%	#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 (/.f32 #s(literal -1/4 binary32) x) x)))
	5.4%	#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 x x) #s(literal -4 binary32)))))
✓	5.4%	#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))))
	5.4%	#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1/4 binary32) x))))

Compiler

Compiled 548 to 260 computations (52.6% saved)

regimes33.0ms (0.5%)

Memory

-7.3MiB live, 32.0MiB allocated

Counts

17 → 1

Calls

Call 1

Inputs
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 x x) #s(literal -4 binary32)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 (/.f32 #s(literal -1/4 binary32) x) x)))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1/4 binary32) x))))
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x)))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (neg.f32 (log.f32 (/.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 (+.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)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))))
(log.f32 (+.f32 x (sqrt.f32 (+.f32 (-.f32 x #s(literal 1 binary32)) (*.f32 x (-.f32 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 (+ 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))))
(log.f32 (+.f32 x (sqrt.f32 (/.f32 (-.f32 (.f32 x x) (pow.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 x #s(literal 1 binary32)) x)) #s(literal 2 binary32))) (+.f32 x (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 x #s(literal 1 binary32)) x)))))))
(log.f32 (+.f32 x (sqrt.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (+.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 x x))))))
(log.f32 (+.f32 x (sqrt.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (-.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (.f32 #s(literal -1 binary32) (.f32 x x)))))))

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

Calls

3 calls:

23.0ms	x
5.0ms	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
5.0ms	(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))

Results

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

15.3MiB live, 15.3MiB allocated

Counts

7 → 1

Calls

Call 1

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
98.3%	1	`x`
98.3%	1	`(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))`
98.3%	1	`(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))`

Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes7.0ms (0.1%)

Memory

12.2MiB live, 12.2MiB allocated

Counts

5 → 1

Calls

Call 1

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

Calls

3 calls:

2.0ms	x
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))))

Results

Accuracy	Segments	Branch
97.6%	1	`x`
97.6%	1	`(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))`
97.6%	1	`(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))`

Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes22.0ms (0.3%)

Memory

-24.1MiB live, 14.9MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

3 calls:

18.0ms	(+.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
5.4%	1	`x`
5.4%	1	`(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))`
5.4%	1	`(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))`

Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes4.0ms (0.1%)

Memory

10.6MiB live, 10.6MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
5.4%	1	`x`
5.4%	1	`(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))`
5.4%	1	`(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))`

Compiler

Compiled 18 to 14 computations (22.2% saved)

simplify26.0ms (0.4%)

Memory

15.7MiB live, 52.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	99
1	47	99
2	56	99
3	63	99
4	68	99
5	70	99

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness787.0ms (11.9%)

Memory

-6.0MiB live, 550.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	197
0	51	195
1	225	153
2	1806	153
0	8366	147
0	150	519
1	411	493
2	1146	486
3	3331	448
4	7980	448
0	8533	426
0	180	665
1	503	632
2	1374	615
3	4175	590
0	8432	566
0	39	214
0	63	152
1	250	151
2	1767	151
0	8806	150

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×	node limit
1×	iter limit

Compiler

Compiled 172 to 99 computations (42.4% saved)

preprocess32.0ms (0.5%)

Memory: -15.2MiB live, 59.5MiB allocated
Compiler: Compiled 240 to 108 computations (55% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample580.0ms (8.8%)

explain157.0ms (2.4%)

preprocess318.0ms (4.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify435.0ms (6.6%)

localize24.0ms (0.4%)

series8.0ms (0.1%)

simplify266.0ms (4%)

rewrite245.0ms (3.7%)

eval41.0ms (0.6%)

prune9.0ms (0.1%)

simplify291.0ms (4.4%)

localize158.0ms (2.4%)

series82.0ms (1.2%)

simplify167.0ms (2.5%)

rewrite310.0ms (4.7%)

eval68.0ms (1%)

prune13.0ms (0.2%)

simplify318.0ms (4.8%)

localize260.0ms (3.9%)

series391.0ms (5.9%)

simplify378.0ms (5.7%)

rewrite276.0ms (4.2%)

eval71.0ms (1.1%)

prune26.0ms (0.4%)

simplify166.0ms (2.5%)

localize71.0ms (1.1%)

series81.0ms (1.2%)

simplify196.0ms (3%)

rewrite153.0ms (2.3%)

eval110.0ms (1.7%)

prune16.0ms (0.2%)

regimes33.0ms (0.5%)

regimes9.0ms (0.1%)

regimes7.0ms (0.1%)

regimes22.0ms (0.3%)

regimes4.0ms (0.1%)

simplify26.0ms (0.4%)

soundness787.0ms (11.9%)

preprocess32.0ms (0.5%)

end0.0ms (0%)

Profiling