Metrics for Rust f32::atanh

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze1.0ms (0%)

Memory

5.4MiB live, 5.4MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.6%	0.4%	0%	0%	0%	0
0%	0%	99.6%	0.4%	0%	0%	0%	1
0%	0%	99.6%	0.4%	0%	0%	0%	2
0%	0%	49.8%	0.4%	0%	49.8%	0%	3
50%	24.9%	24.9%	0.4%	0%	49.8%	0%	4
75%	37.4%	12.5%	0.4%	0%	49.8%	0%	5
87.5%	43.6%	6.2%	0.4%	0%	49.8%	0%	6
93.8%	46.7%	3.1%	0.4%	0%	49.8%	0%	7
96.9%	48.2%	1.6%	0.4%	0%	49.8%	0%	8
98.4%	49%	0.8%	0.4%	0%	49.8%	0%	9
99.2%	49.4%	0.4%	0.4%	0%	49.8%	0%	10
99.6%	49.4%	0.2%	0.4%	0%	50%	0%	11
99.8%	49.5%	0.1%	0.4%	0%	50%	0%	12

Compiler

Compiled 4 to 4 computations (0% saved)

sample541.0ms (10.2%)

Memory

30.1MiB live, 881.3MiB allocated; 175ms collecting garbage

Samples

301.0ms	8 256×	0	valid
0.0ms	1×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 89.0ms

ival-atanh: 78.0ms (87.4% of total)

ival-true: 6.0ms (6.7% of total)

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

adjust: 2.0ms (2.2% of total)

Bogosity

explain139.0ms (2.6%)

Memory

-35.9MiB live, 210.7MiB allocated; 67ms collecting garbage

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`#s(literal 1 binary32)`
-	-	`#s(literal 2 binary32)`
-	-	`#s(literal 1/2 binary32)`
-	-	`(-.f32 #s(literal 1 binary32) x)`
-	-	`(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))`
-	-	`(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))`
-	-	`(*.f32 #s(literal 2 binary32) x)`
-	-	`(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

59.0ms

512×

valid

Compiler

Compiled 92 to 31 computations (66.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-mult: 7.0ms (38.4% of total)

ival-log1p: 4.0ms (21.9% of total)

ival-sub: 3.0ms (16.4% of total)

ival-div: 3.0ms (16.4% of total)

exact: 1.0ms (5.5% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess14.0ms (0.3%)

Memory

19.5MiB live, 19.5MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	7
0	9	10
0	15	10
1	24	10
2	32	10
3	47	10
4	70	10
5	104	10
6	132	10
0	132	10

Stop Event

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

Calls

Call 1

Inputs
(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))

Outputs

(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))

(*.f32 (log1p.f32 (*.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)) x)) #s(literal 1/2 binary32))

Compiler

Compiled 10 to 9 computations (10% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))

Compiler

Compiled 10 to 9 computations (10% saved)

simplify5.0ms (0.1%)

Memory

4.3MiB live, 4.4MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f32 #s(literal 2 binary32) x)
cost-diff	0	(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
cost-diff	0	(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
cost-diff	0	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	35
0	15	35
1	24	35
2	32	35
3	47	35
4	70	35
5	104	35
6	132	35
0	132	35

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
#s(literal 1/2 binary32)
(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
(*.f32 #s(literal 2 binary32) x)
#s(literal 2 binary32)
x
(-.f32 #s(literal 1 binary32) x)
#s(literal 1 binary32)

Outputs
(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
(.f32 (log1p.f32 (.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)) x)) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
(log1p.f32 (*.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)) x))
(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
(*.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)) x)
(*.f32 #s(literal 2 binary32) x)
(*.f32 x #s(literal 2 binary32))
#s(literal 2 binary32)
x
(-.f32 #s(literal 1 binary32) x)
#s(literal 1 binary32)

localize61.0ms (1.1%)

Memory

-18.1MiB live, 25.1MiB allocated; 16ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f32 #s(literal 2 binary32) x)
accuracy	0.0	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
accuracy	0.01953125	(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
accuracy	0.0625	(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))

Samples

15.0ms

256×

valid

Compiler

Compiled 41 to 11 computations (73.2% saved)

Precisions

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

ival-mult: 3.0ms (34.7% of total)

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

ival-log1p: 2.0ms (23.2% of total)

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

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Memory

6.8MiB live, 6.8MiB allocated; 0ms collecting garbage

Counts

4 → 26

Calls

Call 1

Inputs
(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
(*.f32 #s(literal 2 binary32) x)

Outputs
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* 2 x)
(* x (+ 2 (* 2/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(* x (+ 2 (* 2 x)))
(* x (+ 2 (* x (+ 2 (* 2 x)))))
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))))
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(log -1)
(+ (log -1) (* 2 (/ 1 x)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))
-2
(* -1 (+ 2 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x))))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2)

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	((* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (/ (* 2 x) (- 1 x)) (* 2 x))
1.0ms	x	@	inf	((* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (/ (* 2 x) (- 1 x)) (* 2 x))
1.0ms	x	@	-inf	((* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (/ (* 2 x) (- 1 x)) (* 2 x))

Time

Variable

Point

Expression

1.0ms

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

1.0ms

inf

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

1.0ms

-inf

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

simplify195.0ms (3.7%)

Memory

24.9MiB live, 163.3MiB allocated; 43ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	106	302
1	386	291
2	1315	282
3	5633	282
0	8077	262

Stop Event

1×	iter limit
1×	node limit

Counts

26 → 25

Calls

Call 1

Inputs
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* 2 x)
(* x (+ 2 (* 2/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(* x (+ 2 (* 2 x)))
(* x (+ 2 (* x (+ 2 (* 2 x)))))
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))))
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(log -1)
(+ (log -1) (* 2 (/ 1 x)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))
-2
(* -1 (+ 2 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x))))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2)

Outputs
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/3 binary32) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* x (+ 2 (* 2/3 (pow x 2))))
(.f32 (fma.f32 #s(literal 2/3 binary32) (.f32 x x) #s(literal 2 binary32)) x)
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(.f32 (fma.f32 (fma.f32 #s(literal 2/5 binary32) (.f32 x x) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x)
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2/7 binary32) (.f32 x x) #s(literal 2/5 binary32)) (.f32 x x) #s(literal 2/3 binary32)) (.f32 x x) #s(literal 2 binary32)) x)
(* x (+ 2 (* 2 x)))
(*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x)
(* x (+ 2 (* x (+ 2 (* 2 x)))))
(*.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))))
(.f32 (.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32))) x)
(* 1/2 (log -1))
(*.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32))
(+ (* 1/2 (log -1)) (/ 1 x))
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 x x)) #s(literal 1 binary32)) x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(-.f32 (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 x x)) #s(literal 1 binary32)) x)) (/.f32 #s(literal -1/5 binary32) (pow.f32 x #s(literal 5 binary32))))
(log -1)
(log.f32 #s(literal -1 binary32))
(+ (log -1) (* 2 (/ 1 x)))
(-.f32 (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal -2 binary32) x))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+.f32 (/.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) (*.f32 x x)) #s(literal 2 binary32)) x) (log.f32 #s(literal -1 binary32)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))
(-.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) (*.f32 x x)) #s(literal 2 binary32)) x) (log.f32 #s(literal -1 binary32))) (/.f32 #s(literal -2/5 binary32) (pow.f32 x #s(literal 5 binary32))))
-2
#s(literal -2 binary32)
(* -1 (+ 2 (* 2 (/ 1 x))))
(-.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) x))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)
(-.f32 (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) x)) x) #s(literal 2 binary32))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x))))
(-.f32 (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) x) #s(literal 2 binary32)) x)) x) #s(literal 2 binary32))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(-.f32 (.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32)) (/.f32 (-.f32 (/.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/5 binary32) (.f32 x x)) #s(literal -1/3 binary32)) x) x) #s(literal 1 binary32)) x))
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))
(-.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (/.f32 (+.f32 (/.f32 #s(literal -2/5 binary32) (*.f32 x x)) #s(literal -2/3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (/.f32 #s(literal -2 binary32) x))
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2)
(-.f32 (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) x) #s(literal 2 binary32)) x)) x) #s(literal 2 binary32))

rewrite192.0ms (3.6%)

Memory

3.1MiB live, 190.5MiB allocated; 41ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	28
0	15	28
1	53	28
2	329	28
3	4555	28
0	8472	28

Stop Event

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

Counts

4 → 324

Calls

Call 1

Inputs
(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
(*.f32 #s(literal 2 binary32) x)

Outputs
(log.f32 (sqrt.f32 (fma.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)) x #s(literal 1 binary32))))
(*.f32 #s(literal 1/4 binary32) (log.f32 (pow.f32 (fma.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)) x #s(literal 1 binary32)) #s(literal 2 binary32))))
(.f32 (log1p.f32 (.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) (log.f32 (exp.f32 #s(literal 1/2 binary32))))
(.f32 (log1p.f32 (.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) #s(literal 1/2 binary32))
(.f32 #s(literal 2 binary32) (.f32 #s(literal 1/4 binary32) (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))))
(.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))))
(-.f32 (log.f32 (sinh.f32 (acosh.f32 (.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))))) (log.f32 (sqrt.f32 (expm1.f32 (-.f32 (log.f32 (.f32 #s(literal -2 binary32) x)) (log1p.f32 x))))))
(-.f32 (log.f32 (sqrt.f32 (+.f32 #s(literal -1 binary32) (.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 4 binary32))))) (log.f32 (sqrt.f32 (+.f32 #s(literal -1 binary32) (.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))))))
(-.f32 (log.f32 (sqrt.f32 (fma.f32 #s(literal -8 binary32) (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 3 binary32)) #s(literal -1 binary32)))) (log.f32 (sqrt.f32 (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 4 binary32) #s(literal 2 binary32)) #s(literal -1 binary32)))))
(-.f32 (log.f32 (sin.f32 (acos.f32 (.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))))) (.f32 (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) #s(literal 1/2 binary32)))
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eval62.0ms (1.2%)

Memory: -17.8MiB live, 71.3MiB allocated; 13ms collecting garbage
Compiler: Compiled 6 994 to 1 525 computations (78.2% saved)

prune9.0ms (0.2%)

Memory

30.7MiB live, 30.7MiB allocated; 0ms collecting garbage

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	339	9	348
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	340	9	349

Accuracy

100.0%

Counts

349 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.7%	(.f32 #s(literal 1/2 binary32) (-.f32 (log1p.f32 (.f32 #s(literal -4 binary32) (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)))) (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))))
▶	99.8%	(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (+.f32 x x) (-.f32 #s(literal 1 binary32) x))))
▶	99.8%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)) x)))
	99.8%	(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2/7 binary32) (.f32 x x) #s(literal 2/5 binary32)) (.f32 x x) #s(literal 2/3 binary32)) (.f32 x x) #s(literal 2 binary32)) x)))
▶	99.5%	(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f32 (fma.f32 (fma.f32 #s(literal 2/5 binary32) (.f32 x x) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x)))
	98.9%	(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f32 (fma.f32 #s(literal 2/3 binary32) (.f32 x x) #s(literal 2 binary32)) x)))
▶	97.4%	(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)))
	99.6%	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) x))
▶	99.0%	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/3 binary32) x))

Compiler

Compiled 356 to 264 computations (25.8% saved)

simplify192.0ms (3.6%)

Memory

-12.1MiB live, 179.1MiB allocated; 28ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(+.f32 x x)
cost-diff	0	(/.f32 (+.f32 x x) (-.f32 #s(literal 1 binary32) x))
cost-diff	0	(log1p.f32 (/.f32 (+.f32 x x) (-.f32 #s(literal 1 binary32) x)))
cost-diff	0	(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (+.f32 x x) (-.f32 #s(literal 1 binary32) x))))
cost-diff	0	(pow.f32 x #s(literal 3 binary32))
cost-diff	0	(fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/3 binary32) x)
cost-diff	0	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/3 binary32) x))
cost-diff	0	(fma.f32 (fma.f32 #s(literal 2/5 binary32) (.f32 x x) #s(literal 2/3 binary32)) (.f32 x x) #s(literal 2 binary32))
cost-diff	0	(.f32 (fma.f32 (fma.f32 #s(literal 2/5 binary32) (.f32 x x) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x)
cost-diff	0	#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (.f32 (fma.f32 (fma.f32 #s(literal 2/5 binary32) (.f32 x x) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x))
cost-diff	0	(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f32 (fma.f32 (fma.f32 #s(literal 2/5 binary32) (.f32 x x) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x)))
cost-diff	0	(*.f32 #s(literal 2 binary32) x)
cost-diff	0	#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x))
cost-diff	0	(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)))
cost-diff	0	(/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))
cost-diff	0	(*.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)) x)
cost-diff	0	(log1p.f32 (*.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)) x))
cost-diff	0	(.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)) x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	226
0	57	216
1	94	216
2	201	216
3	656	216
4	1985	216
5	3544	216
6	4446	216
7	5189	216
8	5910	216
9	6913	216
10	7832	216
0	8223	216

Stop Event

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

Calls

Call 1

Inputs
(.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)) x)))
#s(literal 1/2 binary32)
(log1p.f32 (*.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)) x))
(*.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)) x)
(/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))
#s(literal 2 binary32)
(-.f32 #s(literal 1 binary32) x)
#s(literal 1 binary32)
x
(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)))
#s(literal 1/2 binary32)
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x))
(*.f32 #s(literal 2 binary32) x)
#s(literal 2 binary32)
x
(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f32 (fma.f32 (fma.f32 #s(literal 2/5 binary32) (.f32 x x) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x)))
#s(literal 1/2 binary32)
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (.f32 (fma.f32 (fma.f32 #s(literal 2/5 binary32) (.f32 x x) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x))
(.f32 (fma.f32 (fma.f32 #s(literal 2/5 binary32) (.f32 x x) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x)
(fma.f32 (fma.f32 #s(literal 2/5 binary32) (.f32 x x) #s(literal 2/3 binary32)) (.f32 x x) #s(literal 2 binary32))
(fma.f32 #s(literal 2/5 binary32) (*.f32 x x) #s(literal 2/3 binary32))
#s(literal 2/5 binary32)
(*.f32 x x)
x
#s(literal 2/3 binary32)
#s(literal 2 binary32)
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/3 binary32) x))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/3 binary32) x)
(pow.f32 x #s(literal 3 binary32))
x
#s(literal 3 binary32)
#s(literal 1/3 binary32)
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (+.f32 x x) (-.f32 #s(literal 1 binary32) x))))
#s(literal 1/2 binary32)
(log1p.f32 (/.f32 (+.f32 x x) (-.f32 #s(literal 1 binary32) x)))
(/.f32 (+.f32 x x) (-.f32 #s(literal 1 binary32) x))
(+.f32 x x)
x
(-.f32 #s(literal 1 binary32) x)
#s(literal 1 binary32)

Outputs
(.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)) x)))
(.f32 (log1p.f32 (.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)) x)) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
(log1p.f32 (*.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)) x))
(*.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)) x)
(/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))
#s(literal 2 binary32)
(-.f32 #s(literal 1 binary32) x)
#s(literal 1 binary32)
x
(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)))
(.f32 #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (*.f32 x #s(literal 2 binary32))) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x #s(literal 2 binary32)))
(*.f32 #s(literal 2 binary32) x)
(*.f32 x #s(literal 2 binary32))
#s(literal 2 binary32)
x
(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f32 (fma.f32 (fma.f32 #s(literal 2/5 binary32) (.f32 x x) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x)))
(.f32 #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x)) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (.f32 (fma.f32 (fma.f32 #s(literal 2/5 binary32) (.f32 x x) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x))
(.f32 (fma.f32 (fma.f32 #s(literal 2/5 binary32) (.f32 x x) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x)
(.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x)
(fma.f32 (fma.f32 #s(literal 2/5 binary32) (.f32 x x) #s(literal 2/3 binary32)) (.f32 x x) #s(literal 2 binary32))
(fma.f32 (fma.f32 (.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) (.f32 x x) #s(literal 2 binary32))
(fma.f32 #s(literal 2/5 binary32) (*.f32 x x) #s(literal 2/3 binary32))
(fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32))
#s(literal 2/5 binary32)
(*.f32 x x)
x
#s(literal 2/3 binary32)
#s(literal 2 binary32)
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/3 binary32) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32)) x))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/3 binary32) x)
(fma.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32)) x)
(pow.f32 x #s(literal 3 binary32))
x
#s(literal 3 binary32)
#s(literal 1/3 binary32)
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (+.f32 x x) (-.f32 #s(literal 1 binary32) x))))
(.f32 (log1p.f32 (.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)) x)) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
(log1p.f32 (/.f32 (+.f32 x x) (-.f32 #s(literal 1 binary32) x)))
(log1p.f32 (*.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)) x))
(/.f32 (+.f32 x x) (-.f32 #s(literal 1 binary32) x))
(*.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)) x)
(+.f32 x x)
(*.f32 x #s(literal 2 binary32))
x
(-.f32 #s(literal 1 binary32) x)
#s(literal 1 binary32)

localize214.0ms (4%)

Memory

-21.4MiB live, 241.2MiB allocated; 122ms collecting garbage

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f32 x x)
accuracy	0.0	(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (+.f32 x x) (-.f32 #s(literal 1 binary32) x))))
accuracy	0.01953125	(log1p.f32 (/.f32 (+.f32 x x) (-.f32 #s(literal 1 binary32) x)))
accuracy	0.0625	(/.f32 (+.f32 x x) (-.f32 #s(literal 1 binary32) x))
accuracy	0.0	(fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/3 binary32) x)
accuracy	0.0	(pow.f32 x #s(literal 3 binary32))
accuracy	0.3326292640039622	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/3 binary32) x))
accuracy	0.00390625	(fma.f32 (fma.f32 #s(literal 2/5 binary32) (.f32 x x) #s(literal 2/3 binary32)) (.f32 x x) #s(literal 2 binary32))
accuracy	0.03515625	(fma.f32 #s(literal 2/5 binary32) (*.f32 x x) #s(literal 2/3 binary32))
accuracy	0.0390625	(.f32 (fma.f32 (fma.f32 #s(literal 2/5 binary32) (.f32 x x) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x)
accuracy	0.1265710015472186	#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (.f32 (fma.f32 (fma.f32 #s(literal 2/5 binary32) (.f32 x x) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x))
accuracy	0.0	(*.f32 #s(literal 2 binary32) x)
accuracy	0.0	(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)))
accuracy	0.8438335532088161	#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x))
accuracy	0.0	(.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)) x)))
accuracy	0.01953125	(log1p.f32 (*.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)) x))
accuracy	0.046875	(*.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)) x)
accuracy	0.05859375	(/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))

Samples

179.0ms

256×

valid

Compiler

Compiled 199 to 32 computations (83.9% saved)

Precisions

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

const: 83.0ms (50.1% of total)

ival-log1p: 47.0ms (28.4% of total)

ival-mult: 20.0ms (12.1% of total)

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

ival-add: 4.0ms (2.4% of total)

ival-pow: 4.0ms (2.4% of total)

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

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series8.0ms (0.2%)

Memory

21.1MiB live, 21.1MiB allocated; 0ms collecting garbage

Counts

19 → 52

Calls

Call 1

Inputs
(.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)) x)))
(log1p.f32 (*.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)) x))
(*.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)) x)
(/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))
(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x))
(*.f32 #s(literal 2 binary32) x)
(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f32 (fma.f32 (fma.f32 #s(literal 2/5 binary32) (.f32 x x) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x)))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (.f32 (fma.f32 (fma.f32 #s(literal 2/5 binary32) (.f32 x x) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x))
(.f32 (fma.f32 (fma.f32 #s(literal 2/5 binary32) (.f32 x x) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x)
(fma.f32 (fma.f32 #s(literal 2/5 binary32) (.f32 x x) #s(literal 2/3 binary32)) (.f32 x x) #s(literal 2 binary32))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/3 binary32) x))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/3 binary32) x)
(pow.f32 x #s(literal 3 binary32))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (+.f32 x x) (-.f32 #s(literal 1 binary32) x))))
(log1p.f32 (/.f32 (+.f32 x x) (-.f32 #s(literal 1 binary32) x)))
(/.f32 (+.f32 x x) (-.f32 #s(literal 1 binary32) x))
(+.f32 x x)
(fma.f32 #s(literal 2/5 binary32) (*.f32 x x) #s(literal 2/3 binary32))

Outputs
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* 2 x)
(* x (+ 2 (* 2/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(* x (+ 2 (* 2 x)))
(* x (+ 2 (* x (+ 2 (* 2 x)))))
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))))
2
(+ 2 (* 2 x))
(+ 2 (* x (+ 2 (* 2 x))))
(+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))
(+ 2 (* 2/3 (pow x 2)))
(+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))
(pow x 3)
2/3
(+ 2/3 (* 2/5 (pow x 2)))
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(log -1)
(+ (log -1) (* 2 (/ 1 x)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))
-2
(* -1 (+ 2 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x))))
(/ -2 x)
(* -1 (/ (+ 2 (* 2 (/ 1 x))) x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x)
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) x)
(* 2/5 (pow x 5))
(* (pow x 5) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* 2/5 (pow x 4))
(* (pow x 4) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* 1/3 (pow x 3))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* 2/5 (pow x 2))
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2)
(* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x))
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x))) x))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2/5)))

Calls

3 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	((* 1/2 (log (+ 1 (* (/ 2 (- 1 x)) x)))) (log (+ 1 (* (/ 2 (- 1 x)) x))) (* (/ 2 (- 1 x)) x) (/ 2 (- 1 x)) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (* 2 x) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (* (+ (* (+ (* 2/5 (* x x)) 2/3) (* x x)) 2) x) (+ (* (+ (* 2/5 (* x x)) 2/3) (* x x)) 2) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (+ (* (pow x 3) 1/3) x) (pow x 3) (* 1/2 (log (+ 1 (/ (+ x x) (- 1 x))))) (log (+ 1 (/ (+ x x) (- 1 x)))) (/ (+ x x) (- 1 x)) (+ x x) (+ (* 2/5 (* x x)) 2/3))
2.0ms	x	@	-inf	((* 1/2 (log (+ 1 (* (/ 2 (- 1 x)) x)))) (log (+ 1 (* (/ 2 (- 1 x)) x))) (* (/ 2 (- 1 x)) x) (/ 2 (- 1 x)) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (* 2 x) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (* (+ (* (+ (* 2/5 (* x x)) 2/3) (* x x)) 2) x) (+ (* (+ (* 2/5 (* x x)) 2/3) (* x x)) 2) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (+ (* (pow x 3) 1/3) x) (pow x 3) (* 1/2 (log (+ 1 (/ (+ x x) (- 1 x))))) (log (+ 1 (/ (+ x x) (- 1 x)))) (/ (+ x x) (- 1 x)) (+ x x) (+ (* 2/5 (* x x)) 2/3))
2.0ms	x	@	0	((* 1/2 (log (+ 1 (* (/ 2 (- 1 x)) x)))) (log (+ 1 (* (/ 2 (- 1 x)) x))) (* (/ 2 (- 1 x)) x) (/ 2 (- 1 x)) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (* 2 x) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (* (+ (* (+ (* 2/5 (* x x)) 2/3) (* x x)) 2) x) (+ (* (+ (* 2/5 (* x x)) 2/3) (* x x)) 2) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (+ (* (pow x 3) 1/3) x) (pow x 3) (* 1/2 (log (+ 1 (/ (+ x x) (- 1 x))))) (log (+ 1 (/ (+ x x) (- 1 x)))) (/ (+ x x) (- 1 x)) (+ x x) (+ (* 2/5 (* x x)) 2/3))

Time

Variable

Point

Expression

3.0ms

inf

((* 1/2 (log (+ 1 (* (/ 2 (- 1 x)) x)))) (log (+ 1 (* (/ 2 (- 1 x)) x))) (* (/ 2 (- 1 x)) x) (/ 2 (- 1 x)) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (* 2 x) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (* (+ (* (+ (* 2/5 (* x x)) 2/3) (* x x)) 2) x) (+ (* (+ (* 2/5 (* x x)) 2/3) (* x x)) 2) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (+ (* (pow x 3) 1/3) x) (pow x 3) (* 1/2 (log (+ 1 (/ (+ x x) (- 1 x))))) (log (+ 1 (/ (+ x x) (- 1 x)))) (/ (+ x x) (- 1 x)) (+ x x) (+ (* 2/5 (* x x)) 2/3))

2.0ms

-inf

((* 1/2 (log (+ 1 (* (/ 2 (- 1 x)) x)))) (log (+ 1 (* (/ 2 (- 1 x)) x))) (* (/ 2 (- 1 x)) x) (/ 2 (- 1 x)) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (* 2 x) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (* (+ (* (+ (* 2/5 (* x x)) 2/3) (* x x)) 2) x) (+ (* (+ (* 2/5 (* x x)) 2/3) (* x x)) 2) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (+ (* (pow x 3) 1/3) x) (pow x 3) (* 1/2 (log (+ 1 (/ (+ x x) (- 1 x))))) (log (+ 1 (/ (+ x x) (- 1 x)))) (/ (+ x x) (- 1 x)) (+ x x) (+ (* 2/5 (* x x)) 2/3))

2.0ms

((* 1/2 (log (+ 1 (* (/ 2 (- 1 x)) x)))) (log (+ 1 (* (/ 2 (- 1 x)) x))) (* (/ 2 (- 1 x)) x) (/ 2 (- 1 x)) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (* 2 x) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (* (+ (* (+ (* 2/5 (* x x)) 2/3) (* x x)) 2) x) (+ (* (+ (* 2/5 (* x x)) 2/3) (* x x)) 2) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (+ (* (pow x 3) 1/3) x) (pow x 3) (* 1/2 (log (+ 1 (/ (+ x x) (- 1 x))))) (log (+ 1 (/ (+ x x) (- 1 x)))) (/ (+ x x) (- 1 x)) (+ x x) (+ (* 2/5 (* x x)) 2/3))

simplify227.0ms (4.3%)

Memory

1.9MiB live, 226.9MiB allocated; 61ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	137	543
1	504	517
2	1684	509
3	7308	509
0	8408	478

Stop Event

1×	iter limit
1×	node limit

Counts

52 → 51

Calls

Call 1

Inputs
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* 2 x)
(* x (+ 2 (* 2/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(* x (+ 2 (* 2 x)))
(* x (+ 2 (* x (+ 2 (* 2 x)))))
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))))
2
(+ 2 (* 2 x))
(+ 2 (* x (+ 2 (* 2 x))))
(+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))
(+ 2 (* 2/3 (pow x 2)))
(+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))
(pow x 3)
2/3
(+ 2/3 (* 2/5 (pow x 2)))
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(log -1)
(+ (log -1) (* 2 (/ 1 x)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))
-2
(* -1 (+ 2 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x))))
(/ -2 x)
(* -1 (/ (+ 2 (* 2 (/ 1 x))) x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x)
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) x)
(* 2/5 (pow x 5))
(* (pow x 5) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* 2/5 (pow x 4))
(* (pow x 4) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* 1/3 (pow x 3))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* 2/5 (pow x 2))
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2)
(* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x))
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x))) x))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2/5)))

Outputs
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/3 binary32) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* x (+ 2 (* 2/3 (pow x 2))))
(.f32 (fma.f32 #s(literal 2/3 binary32) (.f32 x x) #s(literal 2 binary32)) x)
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(.f32 (fma.f32 (fma.f32 #s(literal 2/5 binary32) (.f32 x x) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x)
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2/7 binary32) (.f32 x x) #s(literal 2/5 binary32)) (.f32 x x) #s(literal 2/3 binary32)) (.f32 x x) #s(literal 2 binary32)) x)
(* x (+ 2 (* 2 x)))
(*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x)
(* x (+ 2 (* x (+ 2 (* 2 x)))))
(*.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))))
(.f32 (.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32))) x)
2
#s(literal 2 binary32)
(+ 2 (* 2 x))
(fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32))
(+ 2 (* x (+ 2 (* 2 x))))
(fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32))
(+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))
(*.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)))
(+ 2 (* 2/3 (pow x 2)))
(fma.f32 #s(literal 2/3 binary32) (*.f32 x x) #s(literal 2 binary32))
(+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))
(fma.f32 (fma.f32 #s(literal 2/5 binary32) (.f32 x x) #s(literal 2/3 binary32)) (.f32 x x) #s(literal 2 binary32))
(pow x 3)
(pow.f32 x #s(literal 3 binary32))
2/3
#s(literal 2/3 binary32)
(+ 2/3 (* 2/5 (pow x 2)))
(fma.f32 #s(literal 2/5 binary32) (*.f32 x x) #s(literal 2/3 binary32))
(* 1/2 (log -1))
(*.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32))
(+ (* 1/2 (log -1)) (/ 1 x))
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 x x)) #s(literal 1 binary32)) x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(-.f32 (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 x x)) #s(literal 1 binary32)) x)) (/.f32 #s(literal -1/5 binary32) (pow.f32 x #s(literal 5 binary32))))
(log -1)
(log.f32 #s(literal -1 binary32))
(+ (log -1) (* 2 (/ 1 x)))
(-.f32 (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal -2 binary32) x))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+.f32 (/.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) (*.f32 x x)) #s(literal 2 binary32)) x) (log.f32 #s(literal -1 binary32)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))
(-.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) (*.f32 x x)) #s(literal 2 binary32)) x) (log.f32 #s(literal -1 binary32))) (/.f32 #s(literal -2/5 binary32) (pow.f32 x #s(literal 5 binary32))))
-2
#s(literal -2 binary32)
(* -1 (+ 2 (* 2 (/ 1 x))))
(-.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) x))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)
(-.f32 (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) x)) x) #s(literal 2 binary32))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x))))
(-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) x)) x) #s(literal 2 binary32)) x) #s(literal 2 binary32))
(/ -2 x)
(/.f32 #s(literal -2 binary32) x)
(* -1 (/ (+ 2 (* 2 (/ 1 x))) x))
(/.f32 (-.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) x)) x)
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x)
(/.f32 (-.f32 (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) x)) x) #s(literal 2 binary32)) x)
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) x)
(/.f32 (-.f32 #s(literal -2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) x)) x)) x)) x)
(* 2/5 (pow x 5))
(*.f32 (pow.f32 x #s(literal 5 binary32)) #s(literal 2/5 binary32))
(* (pow x 5) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) (.f32 x x)) #s(literal 2/5 binary32)) (pow.f32 x #s(literal 5 binary32)))
(* (pow x 5) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(.f32 (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 2/5 binary32)) (/.f32 #s(literal -2/3 binary32) (.f32 x x))) (pow.f32 x #s(literal 5 binary32)))
(* 2/5 (pow x 4))
(*.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 2/5 binary32))
(* (pow x 4) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(.f32 (pow.f32 x #s(literal 4 binary32)) (+.f32 (/.f32 #s(literal 2/3 binary32) (.f32 x x)) #s(literal 2/5 binary32)))
(* (pow x 4) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(.f32 (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 2/5 binary32)) (/.f32 #s(literal -2/3 binary32) (.f32 x x))) (pow.f32 x #s(literal 4 binary32)))
(* 1/3 (pow x 3))
(*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/3 binary32))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/3 binary32) x)
(* 2/5 (pow x 2))
(.f32 #s(literal 2/5 binary32) (.f32 x x))
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(fma.f32 #s(literal 2/5 binary32) (*.f32 x x) #s(literal 2/3 binary32))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 #s(literal -1/3 binary32) (*.f32 x x)) (-.f32 (/.f32 #s(literal -1/5 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32))) (neg.f32 x)))
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))
(-.f32 (log.f32 #s(literal -1 binary32)) (/.f32 (+.f32 (/.f32 #s(literal -2/3 binary32) (*.f32 x x)) (-.f32 (/.f32 #s(literal -2/5 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 2 binary32))) x))
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2)
(-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) x)) x) #s(literal 2 binary32)) x) #s(literal 2 binary32))
(* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x))
(/.f32 (-.f32 (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) x)) x) #s(literal 2 binary32)) x)
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x))) x))
(/.f32 (-.f32 #s(literal -2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) x)) x)) x)) x)
(* -1 (* (pow x 5) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2/5)))
(.f32 (neg.f32 (pow.f32 x #s(literal 5 binary32))) (+.f32 (/.f32 #s(literal -2/3 binary32) (.f32 x x)) (-.f32 (/.f32 #s(literal -2 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 2/5 binary32))))

rewrite279.0ms (5.2%)

Memory

13.9MiB live, 244.5MiB allocated; 54ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	199
0	57	189
1	207	189
2	1137	189
0	8665	189

Stop Event

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

Counts

19 → 811

Calls

Call 1

Inputs
(.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)) x)))
(log1p.f32 (*.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)) x))
(*.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)) x)
(/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))
(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x))
(*.f32 #s(literal 2 binary32) x)
(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f32 (fma.f32 (fma.f32 #s(literal 2/5 binary32) (.f32 x x) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x)))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (.f32 (fma.f32 (fma.f32 #s(literal 2/5 binary32) (.f32 x x) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x))
(.f32 (fma.f32 (fma.f32 #s(literal 2/5 binary32) (.f32 x x) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x)
(fma.f32 (fma.f32 #s(literal 2/5 binary32) (.f32 x x) #s(literal 2/3 binary32)) (.f32 x x) #s(literal 2 binary32))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/3 binary32) x))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/3 binary32) x)
(pow.f32 x #s(literal 3 binary32))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (+.f32 x x) (-.f32 #s(literal 1 binary32) x))))
(log1p.f32 (/.f32 (+.f32 x x) (-.f32 #s(literal 1 binary32) x)))
(/.f32 (+.f32 x x) (-.f32 #s(literal 1 binary32) x))
(+.f32 x x)
(fma.f32 #s(literal 2/5 binary32) (*.f32 x x) #s(literal 2/3 binary32))

Outputs
(log.f32 (sqrt.f32 (fma.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)) x #s(literal 1 binary32))))
(.f32 (log1p.f32 (.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) #s(literal 1/2 binary32))
(.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))))
(+.f32 (log.f32 (pow.f32 (fma.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)) x #s(literal 1 binary32)) #s(literal 1/4 binary32))) (log.f32 (pow.f32 (fma.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)) x #s(literal 1 binary32)) #s(literal 1/4 binary32))))
(log.f32 (fma.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)) x #s(literal 1 binary32)))
(/.f32 (-.f32 (.f32 (log1p.f32 (.f32 #s(literal -4 binary32) (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)))) (log1p.f32 (.f32 #s(literal -4 binary32) (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32))))) (.f32 (log1p.f32 (.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) (log1p.f32 (.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))))) (+.f32 (log1p.f32 (.f32 #s(literal -4 binary32) (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)))) (log1p.f32 (.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))))
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(fma.f32 x (fabs.f32 (*.f32 #s(literal 2/5 binary32) x)) #s(literal 2/3 binary32))
(fma.f32 x (*.f32 #s(literal 2/5 binary32) x) #s(literal 2/3 binary32))
(+.f32 (/.f32 #s(literal 8/27 binary32) (+.f32 #s(literal 4/9 binary32) (-.f32 (.f32 #s(literal 4/25 binary32) (pow.f32 x #s(literal 4 binary32))) (.f32 (.f32 x x) #s(literal 4/15 binary32))))) (/.f32 (.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 8/125 binary32)) (+.f32 #s(literal 4/9 binary32) (-.f32 (.f32 #s(literal 4/25 binary32) (pow.f32 x #s(literal 4 binary32))) (.f32 (*.f32 x x) #s(literal 4/15 binary32))))))
(+.f32 (/.f32 (.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 8/125 binary32)) (+.f32 #s(literal 4/9 binary32) (-.f32 (.f32 #s(literal 4/25 binary32) (pow.f32 x #s(literal 4 binary32))) (.f32 (.f32 x x) #s(literal 4/15 binary32))))) (/.f32 #s(literal 8/27 binary32) (+.f32 #s(literal 4/9 binary32) (-.f32 (.f32 #s(literal 4/25 binary32) (pow.f32 x #s(literal 4 binary32))) (.f32 (*.f32 x x) #s(literal 4/15 binary32))))))
(+.f32 (/.f32 #s(literal 8/27 binary32) (-.f32 (fma.f32 #s(literal 4/25 binary32) (pow.f32 x #s(literal 4 binary32)) #s(literal 4/9 binary32)) (.f32 (.f32 x x) #s(literal 4/15 binary32)))) (/.f32 (.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 8/125 binary32)) (-.f32 (fma.f32 #s(literal 4/25 binary32) (pow.f32 x #s(literal 4 binary32)) #s(literal 4/9 binary32)) (.f32 (*.f32 x x) #s(literal 4/15 binary32)))))
(+.f32 (/.f32 (.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 8/125 binary32)) (-.f32 (fma.f32 #s(literal 4/25 binary32) (pow.f32 x #s(literal 4 binary32)) #s(literal 4/9 binary32)) (.f32 (.f32 x x) #s(literal 4/15 binary32)))) (/.f32 #s(literal 8/27 binary32) (-.f32 (fma.f32 #s(literal 4/25 binary32) (pow.f32 x #s(literal 4 binary32)) #s(literal 4/9 binary32)) (.f32 (*.f32 x x) #s(literal 4/15 binary32)))))
(+.f32 (.f32 (.f32 x x) #s(literal 2/5 binary32)) #s(literal 2/3 binary32))
(+.f32 #s(literal 2/3 binary32) (.f32 (neg.f32 (neg.f32 (.f32 #s(literal 2/5 binary32) x))) x))
(+.f32 #s(literal 2/3 binary32) (.f32 (neg.f32 (neg.f32 (.f32 x x))) #s(literal 2/5 binary32)))
(+.f32 #s(literal 2/3 binary32) (.f32 (.f32 x x) #s(literal 2/5 binary32)))

eval230.0ms (4.3%)

Memory: -17.1MiB live, 232.3MiB allocated; 29ms collecting garbage
Compiler: Compiled 19 997 to 2 598 computations (87% saved)

prune36.0ms (0.7%)

Memory

9.0MiB live, 65.8MiB allocated; 4ms collecting garbage

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	623	4	627
Fresh	2	2	4
Picked	2	3	5
Done	0	0	0
Total	627	9	636

Accuracy

100.0%

Counts

636 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.7%	(.f32 #s(literal 1/2 binary32) (-.f32 (log1p.f32 (.f32 #s(literal -4 binary32) (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)))) (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))))
✓	99.8%	(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (+.f32 x x) (-.f32 #s(literal 1 binary32) x))))
✓	99.8%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)) x)))
▶	99.6%	(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (fma.f32 x #s(literal 2 binary32) (.f32 (.f32 (.f32 (fma.f32 (.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) x) x) x))))
▶	97.4%	(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (+.f32 x x)))
▶	99.8%	(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2/7 binary32) (.f32 x x) #s(literal 2/5 binary32)) (.f32 x x) #s(literal 2/3 binary32)) (.f32 x x) #s(literal 2 binary32)) x)))
✓	99.5%	(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f32 (fma.f32 (fma.f32 #s(literal 2/5 binary32) (.f32 x x) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x)))
▶	98.9%	(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f32 (fma.f32 #s(approx (+ ( 2/5 (* x x)) 2/3) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x)))
▶	99.0%	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (.f32 (.f32 x x) x) #s(literal 1/3 binary32) x))

Compiler

Compiled 338 to 243 computations (28.1% saved)

simplify118.0ms (2.2%)

Memory

-19.9MiB live, 215.3MiB allocated; 23ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f32 x #s(literal 2 binary32) (.f32 (.f32 (.f32 (fma.f32 (.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) x) x) x))
cost-diff	0	#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f32 x #s(literal 2 binary32) (.f32 (.f32 (.f32 (fma.f32 (.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) x) x) x)))
cost-diff	0	(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (fma.f32 x #s(literal 2 binary32) (.f32 (.f32 (.f32 (fma.f32 (.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) x) x) x))))
cost-diff	2	(.f32 (.f32 (.f32 (fma.f32 (.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) x) x) x)
cost-diff	0	(fma.f32 #s(approx (+ (* 2/5 (* x x)) 2/3) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32))
cost-diff	0	(.f32 (fma.f32 #s(approx (+ ( 2/5 (* x x)) 2/3) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x)
cost-diff	0	#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (.f32 (fma.f32 #s(approx (+ ( 2/5 (* x x)) 2/3) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x))
cost-diff	0	(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f32 (fma.f32 #s(approx (+ ( 2/5 (* x x)) 2/3) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x)))
cost-diff	0	(*.f32 x x)
cost-diff	0	(fma.f32 (.f32 (.f32 x x) x) #s(literal 1/3 binary32) x)
cost-diff	0	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (.f32 (.f32 x x) x) #s(literal 1/3 binary32) x))
cost-diff	2	(.f32 (.f32 x x) x)
cost-diff	0	(+.f32 x x)
cost-diff	0	#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (+.f32 x x))
cost-diff	0	(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (+.f32 x x)))
cost-diff	0	(fma.f32 (fma.f32 (fma.f32 #s(literal 2/7 binary32) (.f32 x x) #s(literal 2/5 binary32)) (.f32 x x) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32))
cost-diff	0	(.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2/7 binary32) (.f32 x x) #s(literal 2/5 binary32)) (.f32 x x) #s(literal 2/3 binary32)) (.f32 x x) #s(literal 2 binary32)) x)
cost-diff	0	#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2/7 binary32) (.f32 x x) #s(literal 2/5 binary32)) (.f32 x x) #s(literal 2/3 binary32)) (.f32 x x) #s(literal 2 binary32)) x))
cost-diff	0	(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2/7 binary32) (.f32 x x) #s(literal 2/5 binary32)) (.f32 x x) #s(literal 2/3 binary32)) (.f32 x x) #s(literal 2 binary32)) x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	409
0	68	404
1	124	390
2	351	390
3	1357	390
4	3817	390
0	8375	372

Stop Event

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

Calls

Call 1

Inputs
(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2/7 binary32) (.f32 x x) #s(literal 2/5 binary32)) (.f32 x x) #s(literal 2/3 binary32)) (.f32 x x) #s(literal 2 binary32)) x)))
#s(literal 1/2 binary32)
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2/7 binary32) (.f32 x x) #s(literal 2/5 binary32)) (.f32 x x) #s(literal 2/3 binary32)) (.f32 x x) #s(literal 2 binary32)) x))
(.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2/7 binary32) (.f32 x x) #s(literal 2/5 binary32)) (.f32 x x) #s(literal 2/3 binary32)) (.f32 x x) #s(literal 2 binary32)) x)
(fma.f32 (fma.f32 (fma.f32 #s(literal 2/7 binary32) (.f32 x x) #s(literal 2/5 binary32)) (.f32 x x) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32))
(fma.f32 (fma.f32 #s(literal 2/7 binary32) (.f32 x x) #s(literal 2/5 binary32)) (.f32 x x) #s(literal 2/3 binary32))
(fma.f32 #s(literal 2/7 binary32) (*.f32 x x) #s(literal 2/5 binary32))
#s(literal 2/7 binary32)
(*.f32 x x)
x
#s(literal 2/5 binary32)
#s(literal 2/3 binary32)
#s(literal 2 binary32)
(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (+.f32 x x)))
#s(literal 1/2 binary32)
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (+.f32 x x))
(+.f32 x x)
x
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (.f32 (.f32 x x) x) #s(literal 1/3 binary32) x))
(fma.f32 (.f32 (.f32 x x) x) #s(literal 1/3 binary32) x)
(.f32 (.f32 x x) x)
(*.f32 x x)
x
#s(literal 1/3 binary32)
(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f32 (fma.f32 #s(approx (+ ( 2/5 (* x x)) 2/3) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x)))
#s(literal 1/2 binary32)
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (.f32 (fma.f32 #s(approx (+ ( 2/5 (* x x)) 2/3) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x))
(.f32 (fma.f32 #s(approx (+ ( 2/5 (* x x)) 2/3) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x)
(fma.f32 #s(approx (+ (* 2/5 (* x x)) 2/3) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32))
#s(approx (+ (* 2/5 (* x x)) 2/3) #s(literal 2/3 binary32))
#s(literal 2/3 binary32)
(*.f32 x x)
x
#s(literal 2 binary32)
(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (fma.f32 x #s(literal 2 binary32) (.f32 (.f32 (.f32 (fma.f32 (.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) x) x) x))))
#s(literal 1/2 binary32)
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f32 x #s(literal 2 binary32) (.f32 (.f32 (.f32 (fma.f32 (.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) x) x) x)))
(fma.f32 x #s(literal 2 binary32) (.f32 (.f32 (.f32 (fma.f32 (.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) x) x) x))
x
#s(literal 2 binary32)
(.f32 (.f32 (.f32 (fma.f32 (.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) x) x) x)
(.f32 (.f32 (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) x) x)
(.f32 (fma.f32 (.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) x)
(fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32))
(*.f32 x x)
#s(literal 2/5 binary32)
#s(literal 2/3 binary32)

Outputs
(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2/7 binary32) (.f32 x x) #s(literal 2/5 binary32)) (.f32 x x) #s(literal 2/3 binary32)) (.f32 x x) #s(literal 2 binary32)) x)))
(.f32 #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (.f32 x x) #s(literal 2/3 binary32)) (.f32 x x) #s(literal 2 binary32)) x)) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2/7 binary32) (.f32 x x) #s(literal 2/5 binary32)) (.f32 x x) #s(literal 2/3 binary32)) (.f32 x x) #s(literal 2 binary32)) x))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (.f32 x x) #s(literal 2/3 binary32)) (.f32 x x) #s(literal 2 binary32)) x))
(.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2/7 binary32) (.f32 x x) #s(literal 2/5 binary32)) (.f32 x x) #s(literal 2/3 binary32)) (.f32 x x) #s(literal 2 binary32)) x)
(.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (.f32 x x) #s(literal 2/3 binary32)) (.f32 x x) #s(literal 2 binary32)) x)
(fma.f32 (fma.f32 (fma.f32 #s(literal 2/7 binary32) (.f32 x x) #s(literal 2/5 binary32)) (.f32 x x) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32))
(fma.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (.f32 x x) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32))
(fma.f32 (fma.f32 #s(literal 2/7 binary32) (.f32 x x) #s(literal 2/5 binary32)) (.f32 x x) #s(literal 2/3 binary32))
(fma.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (.f32 x x) #s(literal 2/3 binary32))
(fma.f32 #s(literal 2/7 binary32) (*.f32 x x) #s(literal 2/5 binary32))
(fma.f32 (*.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32))
#s(literal 2/7 binary32)
(*.f32 x x)
x
#s(literal 2/5 binary32)
#s(literal 2/3 binary32)
#s(literal 2 binary32)
(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (+.f32 x x)))
(.f32 #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (*.f32 x #s(literal 2 binary32))) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (+.f32 x x))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x #s(literal 2 binary32)))
(+.f32 x x)
(*.f32 x #s(literal 2 binary32))
x
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (.f32 (.f32 x x) x) #s(literal 1/3 binary32) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32)) x))
(fma.f32 (.f32 (.f32 x x) x) #s(literal 1/3 binary32) x)
(fma.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32)) x)
(.f32 (.f32 x x) x)
(pow.f32 x #s(literal 3 binary32))
(*.f32 x x)
x
#s(literal 1/3 binary32)
(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f32 (fma.f32 #s(approx (+ ( 2/5 (* x x)) 2/3) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x)))
(.f32 #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f32 (fma.f32 #s(approx (+ ( 2/5 (* x x)) 2/3) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x)) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (.f32 (fma.f32 #s(approx (+ ( 2/5 (* x x)) 2/3) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x))
(.f32 (fma.f32 #s(approx (+ ( 2/5 (* x x)) 2/3) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x)
(fma.f32 #s(approx (+ (* 2/5 (* x x)) 2/3) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32))
#s(approx (+ (* 2/5 (* x x)) 2/3) #s(literal 2/3 binary32))
#s(literal 2/3 binary32)
(*.f32 x x)
x
#s(literal 2 binary32)
(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (fma.f32 x #s(literal 2 binary32) (.f32 (.f32 (.f32 (fma.f32 (.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) x) x) x))))
(.f32 #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f32 (fma.f32 (.f32 (fma.f32 #s(literal 2/5 binary32) (*.f32 x x) #s(literal 2/3 binary32)) x) x #s(literal 2 binary32)) x)) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f32 x #s(literal 2 binary32) (.f32 (.f32 (.f32 (fma.f32 (.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) x) x) x)))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (.f32 (fma.f32 (.f32 (fma.f32 #s(literal 2/5 binary32) (*.f32 x x) #s(literal 2/3 binary32)) x) x #s(literal 2 binary32)) x))
(fma.f32 x #s(literal 2 binary32) (.f32 (.f32 (.f32 (fma.f32 (.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) x) x) x))
(.f32 (fma.f32 (.f32 (fma.f32 #s(literal 2/5 binary32) (*.f32 x x) #s(literal 2/3 binary32)) x) x #s(literal 2 binary32)) x)
x
#s(literal 2 binary32)
(.f32 (.f32 (.f32 (fma.f32 (.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) x) x) x)
(.f32 (fma.f32 #s(literal 2/5 binary32) (.f32 x x) #s(literal 2/3 binary32)) (pow.f32 x #s(literal 3 binary32)))
(.f32 (.f32 (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) x) x)
(.f32 (.f32 (fma.f32 #s(literal 2/5 binary32) (*.f32 x x) #s(literal 2/3 binary32)) x) x)
(.f32 (fma.f32 (.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) x)
(.f32 (fma.f32 #s(literal 2/5 binary32) (.f32 x x) #s(literal 2/3 binary32)) x)
(fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32))
(fma.f32 #s(literal 2/5 binary32) (*.f32 x x) #s(literal 2/3 binary32))
(*.f32 x x)
#s(literal 2/5 binary32)
#s(literal 2/3 binary32)

localize168.0ms (3.1%)

Memory

34.2MiB live, 218.5MiB allocated; 40ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.08984375	(.f32 (.f32 (.f32 (fma.f32 (.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) x) x) x)
accuracy	0.11328125	(.f32 (.f32 (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) x) x)
accuracy	0.1265710015472186	#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f32 x #s(literal 2 binary32) (.f32 (.f32 (.f32 (fma.f32 (.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) x) x) x)))
accuracy	0.328125	(.f32 (fma.f32 (.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) x)
accuracy	0.00390625	(fma.f32 #s(approx (+ (* 2/5 (* x x)) 2/3) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32))
accuracy	0.0390625	(.f32 (fma.f32 #s(approx (+ ( 2/5 (* x x)) 2/3) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x)
accuracy	0.1265710015472186	#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (.f32 (fma.f32 #s(approx (+ ( 2/5 (* x x)) 2/3) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x))
accuracy	0.8860494400842196	#s(approx (+ (* 2/5 (* x x)) 2/3) #s(literal 2/3 binary32))
accuracy	0.0	(fma.f32 (.f32 (.f32 x x) x) #s(literal 1/3 binary32) x)
accuracy	0.0	(*.f32 x x)
accuracy	0.1171875	(.f32 (.f32 x x) x)
accuracy	0.3326292640039622	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (.f32 (.f32 x x) x) #s(literal 1/3 binary32) x))
accuracy	0.0	(+.f32 x x)
accuracy	0.0	(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (+.f32 x x)))
accuracy	0.8438335532088161	#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (+.f32 x x))
accuracy	0.015625	(fma.f32 #s(literal 2/7 binary32) (*.f32 x x) #s(literal 2/5 binary32))
accuracy	0.02734375	(fma.f32 (fma.f32 #s(literal 2/7 binary32) (.f32 x x) #s(literal 2/5 binary32)) (.f32 x x) #s(literal 2/3 binary32))
accuracy	0.02734375	(.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2/7 binary32) (.f32 x x) #s(literal 2/5 binary32)) (.f32 x x) #s(literal 2/3 binary32)) (.f32 x x) #s(literal 2 binary32)) x)
accuracy	0.05118471800160947	#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2/7 binary32) (.f32 x x) #s(literal 2/5 binary32)) (.f32 x x) #s(literal 2/3 binary32)) (.f32 x x) #s(literal 2 binary32)) x))

Samples

146.0ms

256×

valid

Compiler

Compiled 302 to 39 computations (87.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 86.0ms

const: 42.0ms (49% of total)

ival-mult: 29.0ms (33.8% of total)

ival-add: 10.0ms (11.7% of total)

ival-div: 2.0ms (2.3% of total)

ival-log1p: 2.0ms (2.3% of total)

ival-sub: 1.0ms (1.2% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series12.0ms (0.2%)

Memory

-19.3MiB live, 24.4MiB allocated; 6ms collecting garbage

Counts

24 → 63

Calls

Call 1

Inputs
(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2/7 binary32) (.f32 x x) #s(literal 2/5 binary32)) (.f32 x x) #s(literal 2/3 binary32)) (.f32 x x) #s(literal 2 binary32)) x)))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2/7 binary32) (.f32 x x) #s(literal 2/5 binary32)) (.f32 x x) #s(literal 2/3 binary32)) (.f32 x x) #s(literal 2 binary32)) x))
(.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2/7 binary32) (.f32 x x) #s(literal 2/5 binary32)) (.f32 x x) #s(literal 2/3 binary32)) (.f32 x x) #s(literal 2 binary32)) x)
(fma.f32 (fma.f32 (fma.f32 #s(literal 2/7 binary32) (.f32 x x) #s(literal 2/5 binary32)) (.f32 x x) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32))
(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (+.f32 x x)))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (+.f32 x x))
(+.f32 x x)
(.f32 (.f32 x x) x)
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (.f32 (.f32 x x) x) #s(literal 1/3 binary32) x))
(fma.f32 (.f32 (.f32 x x) x) #s(literal 1/3 binary32) x)
(*.f32 x x)
(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f32 (fma.f32 #s(approx (+ ( 2/5 (* x x)) 2/3) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x)))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (.f32 (fma.f32 #s(approx (+ ( 2/5 (* x x)) 2/3) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x))
(.f32 (fma.f32 #s(approx (+ ( 2/5 (* x x)) 2/3) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x)
(fma.f32 #s(approx (+ (* 2/5 (* x x)) 2/3) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32))
(.f32 (.f32 (.f32 (fma.f32 (.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) x) x) x)
(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (fma.f32 x #s(literal 2 binary32) (.f32 (.f32 (.f32 (fma.f32 (.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) x) x) x))))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f32 x #s(literal 2 binary32) (.f32 (.f32 (.f32 (fma.f32 (.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) x) x) x)))
(fma.f32 x #s(literal 2 binary32) (.f32 (.f32 (.f32 (fma.f32 (.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) x) x) x))
(fma.f32 (fma.f32 #s(literal 2/7 binary32) (.f32 x x) #s(literal 2/5 binary32)) (.f32 x x) #s(literal 2/3 binary32))
(fma.f32 #s(literal 2/7 binary32) (*.f32 x x) #s(literal 2/5 binary32))
#s(approx (+ (* 2/5 (* x x)) 2/3) #s(literal 2/3 binary32))
(.f32 (fma.f32 (.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) x)
(.f32 (.f32 (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) x) x)

Outputs
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* 2 x)
(* x (+ 2 (* 2/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
2
(+ 2 (* 2/3 (pow x 2)))
(+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))
(pow x 3)
(pow x 2)
(* 2/3 (pow x 3))
(* (pow x 3) (+ 2/3 (* 2/5 (pow x 2))))
2/3
(+ 2/3 (* 2/5 (pow x 2)))
(+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))
2/5
(+ 2/5 (* 2/7 (pow x 2)))
(* 2/3 x)
(* x (+ 2/3 (* 2/5 (pow x 2))))
(* 2/3 (pow x 2))
(* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(log -1)
(+ (log -1) (* 2 (/ 1 x)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))
(* 2/7 (pow x 7))
(* (pow x 7) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 2/7 (+ (/ 2/3 (pow x 4)) (+ (* 2/5 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(* 2/7 (pow x 6))
(* (pow x 6) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 2/7 (+ (/ 2/3 (pow x 4)) (+ (* 2/5 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(* 1/3 (pow x 3))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* 2/5 (pow x 5))
(* (pow x 5) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* 2/5 (pow x 4))
(* (pow x 4) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* 2/7 (pow x 4))
(* (pow x 4) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2))))))
(* 2/7 (pow x 2))
(* (pow x 2) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))
(* 2/5 (pow x 2))
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(* 2/5 (pow x 3))
(* (pow x 3) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow x 2)))) (pow x 2))) 2/7)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2/5)))

Calls

3 calls:

Time

Variable

Point

Expression

4.0ms

((* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (* (+ (* (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3) (* x x)) 2) x) (+ (* (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3) (* x x)) 2) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (+ x x) (* (* x x) x) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (+ (* (* (* x x) x) 1/3) x) (* x x) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (* (+ (* (+ (* 2/5 (* x x)) 2/3) (* x x)) 2) x) (+ (* (+ (* 2/5 (* x x)) 2/3) (* x x)) 2) (* (* (* (+ (* (* x x) 2/5) 2/3) x) x) x) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (+ (* x 2) (* (* (* (+ (* (* x x) 2/5) 2/3) x) x) x)) (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3) (+ (* 2/7 (* x x)) 2/5) (+ (* 2/5 (* x x)) 2/3) (* (+ (* (* x x) 2/5) 2/3) x) (* (* (+ (* (* x x) 2/5) 2/3) x) x))

3.0ms

inf

((* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (* (+ (* (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3) (* x x)) 2) x) (+ (* (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3) (* x x)) 2) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (+ x x) (* (* x x) x) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (+ (* (* (* x x) x) 1/3) x) (* x x) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (* (+ (* (+ (* 2/5 (* x x)) 2/3) (* x x)) 2) x) (+ (* (+ (* 2/5 (* x x)) 2/3) (* x x)) 2) (* (* (* (+ (* (* x x) 2/5) 2/3) x) x) x) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (+ (* x 2) (* (* (* (+ (* (* x x) 2/5) 2/3) x) x) x)) (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3) (+ (* 2/7 (* x x)) 2/5) (+ (* 2/5 (* x x)) 2/3) (* (+ (* (* x x) 2/5) 2/3) x) (* (* (+ (* (* x x) 2/5) 2/3) x) x))

3.0ms

-inf

((* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (* (+ (* (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3) (* x x)) 2) x) (+ (* (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3) (* x x)) 2) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (+ x x) (* (* x x) x) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (+ (* (* (* x x) x) 1/3) x) (* x x) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (* (+ (* (+ (* 2/5 (* x x)) 2/3) (* x x)) 2) x) (+ (* (+ (* 2/5 (* x x)) 2/3) (* x x)) 2) (* (* (* (+ (* (* x x) 2/5) 2/3) x) x) x) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (+ (* x 2) (* (* (* (+ (* (* x x) 2/5) 2/3) x) x) x)) (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3) (+ (* 2/7 (* x x)) 2/5) (+ (* 2/5 (* x x)) 2/3) (* (+ (* (* x x) 2/5) 2/3) x) (* (* (+ (* (* x x) 2/5) 2/3) x) x))

simplify277.0ms (5.2%)

Memory

-7.3MiB live, 184.8MiB allocated; 48ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	150	665
1	555	656
2	1749	650
3	7184	650
0	8136	618

Stop Event

1×	iter limit
1×	node limit

Counts

63 → 62

Calls

Call 1

Inputs
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* 2 x)
(* x (+ 2 (* 2/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
2
(+ 2 (* 2/3 (pow x 2)))
(+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))
(pow x 3)
(pow x 2)
(* 2/3 (pow x 3))
(* (pow x 3) (+ 2/3 (* 2/5 (pow x 2))))
2/3
(+ 2/3 (* 2/5 (pow x 2)))
(+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))
2/5
(+ 2/5 (* 2/7 (pow x 2)))
(* 2/3 x)
(* x (+ 2/3 (* 2/5 (pow x 2))))
(* 2/3 (pow x 2))
(* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(log -1)
(+ (log -1) (* 2 (/ 1 x)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))
(* 2/7 (pow x 7))
(* (pow x 7) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 2/7 (+ (/ 2/3 (pow x 4)) (+ (* 2/5 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(* 2/7 (pow x 6))
(* (pow x 6) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 2/7 (+ (/ 2/3 (pow x 4)) (+ (* 2/5 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(* 1/3 (pow x 3))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* 2/5 (pow x 5))
(* (pow x 5) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* 2/5 (pow x 4))
(* (pow x 4) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* 2/7 (pow x 4))
(* (pow x 4) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2))))))
(* 2/7 (pow x 2))
(* (pow x 2) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))
(* 2/5 (pow x 2))
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(* 2/5 (pow x 3))
(* (pow x 3) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow x 2)))) (pow x 2))) 2/7)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2/5)))

Outputs
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/3 binary32) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) x)
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* x (+ 2 (* 2/3 (pow x 2))))
(.f32 (fma.f32 (.f32 x x) #s(literal 2/3 binary32) #s(literal 2 binary32)) x)
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x)
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2/7 binary32) (.f32 x x) #s(literal 2/5 binary32)) (.f32 x x) #s(literal 2/3 binary32)) (.f32 x x) #s(literal 2 binary32)) x)
2
#s(literal 2 binary32)
(+ 2 (* 2/3 (pow x 2)))
(fma.f32 (*.f32 x x) #s(literal 2/3 binary32) #s(literal 2 binary32))
(+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))
(fma.f32 (fma.f32 (.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) (.f32 x x) #s(literal 2 binary32))
(+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))
(fma.f32 (fma.f32 (fma.f32 #s(literal 2/7 binary32) (.f32 x x) #s(literal 2/5 binary32)) (.f32 x x) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32))
(pow x 3)
(pow.f32 x #s(literal 3 binary32))
(pow x 2)
(*.f32 x x)
(* 2/3 (pow x 3))
(*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 2/3 binary32))
(* (pow x 3) (+ 2/3 (* 2/5 (pow x 2))))
(.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)))
2/3
#s(literal 2/3 binary32)
(+ 2/3 (* 2/5 (pow x 2)))
(fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32))
(+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))
(fma.f32 (fma.f32 #s(literal 2/7 binary32) (.f32 x x) #s(literal 2/5 binary32)) (.f32 x x) #s(literal 2/3 binary32))
2/5
#s(literal 2/5 binary32)
(+ 2/5 (* 2/7 (pow x 2)))
(fma.f32 #s(literal 2/7 binary32) (*.f32 x x) #s(literal 2/5 binary32))
(* 2/3 x)
(*.f32 #s(literal 2/3 binary32) x)
(* x (+ 2/3 (* 2/5 (pow x 2))))
(.f32 (fma.f32 (.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) x)
(* 2/3 (pow x 2))
(.f32 (.f32 x x) #s(literal 2/3 binary32))
(* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))
(.f32 (.f32 (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) x) x)
(* 1/2 (log -1))
(*.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32))
(+ (* 1/2 (log -1)) (/ 1 x))
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 x x)) #s(literal 1 binary32)) x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(-.f32 (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 x x)) #s(literal 1 binary32)) x)) (/.f32 #s(literal -1/5 binary32) (pow.f32 x #s(literal 5 binary32))))
(log -1)
(log.f32 #s(literal -1 binary32))
(+ (log -1) (* 2 (/ 1 x)))
(-.f32 (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal -2 binary32) x))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+.f32 (/.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) (*.f32 x x)) #s(literal 2 binary32)) x) (log.f32 #s(literal -1 binary32)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))
(-.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) (*.f32 x x)) #s(literal 2 binary32)) x) (log.f32 #s(literal -1 binary32))) (/.f32 #s(literal -2/5 binary32) (pow.f32 x #s(literal 5 binary32))))
(* 2/7 (pow x 7))
(*.f32 (pow.f32 x #s(literal 7 binary32)) #s(literal 2/7 binary32))
(* (pow x 7) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))
(.f32 (+.f32 (/.f32 #s(literal 2/5 binary32) (.f32 x x)) #s(literal 2/7 binary32)) (pow.f32 x #s(literal 7 binary32)))
(* (pow x 7) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2))))))
(.f32 (-.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 2/7 binary32)) (/.f32 #s(literal -2/5 binary32) (.f32 x x))) (pow.f32 x #s(literal 7 binary32)))
(* (pow x 7) (+ 2/7 (+ (/ 2/3 (pow x 4)) (+ (* 2/5 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(.f32 (-.f32 (-.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 2/7 binary32)) (/.f32 #s(literal -2/5 binary32) (.f32 x x))) (/.f32 #s(literal -2 binary32) (pow.f32 x #s(literal 6 binary32)))) (pow.f32 x #s(literal 7 binary32)))
(* 2/7 (pow x 6))
(*.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 2/7 binary32))
(* (pow x 6) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))
(.f32 (pow.f32 x #s(literal 6 binary32)) (+.f32 (/.f32 #s(literal 2/5 binary32) (.f32 x x)) #s(literal 2/7 binary32)))
(* (pow x 6) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2))))))
(.f32 (pow.f32 x #s(literal 6 binary32)) (-.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 2/7 binary32)) (/.f32 #s(literal -2/5 binary32) (.f32 x x))))
(* (pow x 6) (+ 2/7 (+ (/ 2/3 (pow x 4)) (+ (* 2/5 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(.f32 (-.f32 (-.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 2/7 binary32)) (/.f32 #s(literal -2/5 binary32) (.f32 x x))) (/.f32 #s(literal -2 binary32) (pow.f32 x #s(literal 6 binary32)))) (pow.f32 x #s(literal 6 binary32)))
(* 1/3 (pow x 3))
(*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/3 binary32))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/3 binary32) x)
(* 2/5 (pow x 5))
(*.f32 (pow.f32 x #s(literal 5 binary32)) #s(literal 2/5 binary32))
(* (pow x 5) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) (.f32 x x)) #s(literal 2/5 binary32)) (pow.f32 x #s(literal 5 binary32)))
(* (pow x 5) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(.f32 (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 2/5 binary32)) (/.f32 #s(literal -2/3 binary32) (.f32 x x))) (pow.f32 x #s(literal 5 binary32)))
(* 2/5 (pow x 4))
(*.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 2/5 binary32))
(* (pow x 4) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) (.f32 x x)) #s(literal 2/5 binary32)) (pow.f32 x #s(literal 4 binary32)))
(* (pow x 4) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(.f32 (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 2/5 binary32)) (/.f32 #s(literal -2/3 binary32) (.f32 x x))) (pow.f32 x #s(literal 4 binary32)))
(* 2/7 (pow x 4))
(*.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 2/7 binary32))
(* (pow x 4) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))
(.f32 (pow.f32 x #s(literal 4 binary32)) (+.f32 (/.f32 #s(literal 2/5 binary32) (.f32 x x)) #s(literal 2/7 binary32)))
(* (pow x 4) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2))))))
(.f32 (-.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 2/7 binary32)) (/.f32 #s(literal -2/5 binary32) (.f32 x x))) (pow.f32 x #s(literal 4 binary32)))
(* 2/7 (pow x 2))
(.f32 #s(literal 2/7 binary32) (.f32 x x))
(* (pow x 2) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))
(fma.f32 #s(literal 2/7 binary32) (*.f32 x x) #s(literal 2/5 binary32))
(* 2/5 (pow x 2))
(.f32 (.f32 x x) #s(literal 2/5 binary32))
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32))
(* 2/5 (pow x 3))
(*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 2/5 binary32))
(* (pow x 3) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(.f32 (fma.f32 (.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) x)
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 #s(literal -1/3 binary32) (*.f32 x x)) (-.f32 (/.f32 #s(literal -1/5 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32))) (neg.f32 x)))
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))
(-.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (/.f32 (+.f32 #s(literal -2/3 binary32) (/.f32 #s(literal -2/5 binary32) (*.f32 x x))) (pow.f32 x #s(literal 3 binary32)))) (/.f32 #s(literal -2 binary32) x))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow x 2)))) (pow x 2))) 2/7)))
(.f32 (neg.f32 (pow.f32 x #s(literal 7 binary32))) (+.f32 (/.f32 #s(literal -2/5 binary32) (.f32 x x)) (-.f32 (/.f32 #s(literal -2/3 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 2/7 binary32))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))))
(.f32 (neg.f32 (pow.f32 x #s(literal 7 binary32))) (-.f32 (/.f32 (+.f32 (/.f32 (/.f32 #s(literal -2 binary32) x) x) #s(literal -2/3 binary32)) (pow.f32 x #s(literal 4 binary32))) (+.f32 (/.f32 #s(literal 2/5 binary32) (.f32 x x)) #s(literal 2/7 binary32))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2/5)))
(.f32 (neg.f32 (pow.f32 x #s(literal 5 binary32))) (+.f32 (/.f32 #s(literal -2/3 binary32) (.f32 x x)) (-.f32 (/.f32 #s(literal -2 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 2/5 binary32))))

rewrite268.0ms (5%)

Memory

27.7MiB live, 254.7MiB allocated; 48ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	375
0	68	364
1	257	355
2	1833	355
0	8539	338

Stop Event

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

Counts

24 → 855

Calls

Call 1

Inputs
(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2/7 binary32) (.f32 x x) #s(literal 2/5 binary32)) (.f32 x x) #s(literal 2/3 binary32)) (.f32 x x) #s(literal 2 binary32)) x)))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2/7 binary32) (.f32 x x) #s(literal 2/5 binary32)) (.f32 x x) #s(literal 2/3 binary32)) (.f32 x x) #s(literal 2 binary32)) x))
(.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2/7 binary32) (.f32 x x) #s(literal 2/5 binary32)) (.f32 x x) #s(literal 2/3 binary32)) (.f32 x x) #s(literal 2 binary32)) x)
(fma.f32 (fma.f32 (fma.f32 #s(literal 2/7 binary32) (.f32 x x) #s(literal 2/5 binary32)) (.f32 x x) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32))
(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (+.f32 x x)))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (+.f32 x x))
(+.f32 x x)
(.f32 (.f32 x x) x)
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (.f32 (.f32 x x) x) #s(literal 1/3 binary32) x))
(fma.f32 (.f32 (.f32 x x) x) #s(literal 1/3 binary32) x)
(*.f32 x x)
(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f32 (fma.f32 #s(approx (+ ( 2/5 (* x x)) 2/3) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x)))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (.f32 (fma.f32 #s(approx (+ ( 2/5 (* x x)) 2/3) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x))
(.f32 (fma.f32 #s(approx (+ ( 2/5 (* x x)) 2/3) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x)
(fma.f32 #s(approx (+ (* 2/5 (* x x)) 2/3) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32))
(.f32 (.f32 (.f32 (fma.f32 (.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) x) x) x)
(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (fma.f32 x #s(literal 2 binary32) (.f32 (.f32 (.f32 (fma.f32 (.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) x) x) x))))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f32 x #s(literal 2 binary32) (.f32 (.f32 (.f32 (fma.f32 (.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) x) x) x)))
(fma.f32 x #s(literal 2 binary32) (.f32 (.f32 (.f32 (fma.f32 (.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) x) x) x))
(fma.f32 (fma.f32 #s(literal 2/7 binary32) (.f32 x x) #s(literal 2/5 binary32)) (.f32 x x) #s(literal 2/3 binary32))
(fma.f32 #s(literal 2/7 binary32) (*.f32 x x) #s(literal 2/5 binary32))
#s(approx (+ (* 2/5 (* x x)) 2/3) #s(literal 2/3 binary32))
(.f32 (fma.f32 (.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) x)
(.f32 (.f32 (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) x) x)

Outputs
(.f32 #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (.f32 x x) #s(literal 2/3 binary32)) (.f32 x x) #s(literal 2 binary32)) x)) #s(literal 1/2 binary32))
(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (.f32 x x) #s(literal 2/3 binary32)) (.f32 x x) #s(literal 2 binary32)) x)))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (.f32 x x) #s(literal 2/3 binary32)) (.f32 x x) #s(literal 2 binary32)) x))
(.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (.f32 x x) #s(literal 2/3 binary32)) (.f32 x x) #s(literal 2 binary32)) x)
(.f32 x (fma.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (.f32 x x) #s(literal 2/3 binary32)) (.f32 x x) #s(literal 2 binary32)))
(/.f32 (+.f32 (pow.f32 (.f32 (.f32 (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (.f32 x x) #s(literal 2/3 binary32)) x) x) x) #s(literal 3 binary32)) (.f32 #s(literal -2 binary32) x)) (fma.f32 (.f32 (.f32 (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (.f32 x x) #s(literal 2/3 binary32)) x) x) x) (.f32 (.f32 (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (.f32 x x) #s(literal 2/3 binary32)) x) x) x) (-.f32 (.f32 #s(literal -2 binary32) x) (.f32 (.f32 (.f32 (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (.f32 x x) #s(literal 2/3 binary32)) x) x) x) (.f32 #s(literal -2 binary32) x)))))
(/.f32 (+.f32 (pow.f32 (.f32 x (.f32 (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (.f32 x x) #s(literal 2/3 binary32)) x) x)) #s(literal 3 binary32)) (.f32 #s(literal -2 binary32) x)) (fma.f32 (.f32 x (.f32 (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (.f32 x x) #s(literal 2/3 binary32)) x) x)) (.f32 x (.f32 (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (.f32 x x) #s(literal 2/3 binary32)) x) x)) (-.f32 (.f32 #s(literal -2 binary32) x) (.f32 (.f32 x (.f32 (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (.f32 x x) #s(literal 2/3 binary32)) x) x)) (.f32 #s(literal -2 binary32) x)))))
(/.f32 (fma.f32 #s(literal -2 binary32) x (pow.f32 (.f32 (.f32 (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (.f32 x x) #s(literal 2/3 binary32)) x) x) x) #s(literal 3 binary32))) (fma.f32 #s(literal -2 binary32) x (-.f32 (.f32 (.f32 (.f32 (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (.f32 x x) #s(literal 2/3 binary32)) x) x) x) (.f32 (.f32 (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (.f32 x x) #s(literal 2/3 binary32)) x) x) x)) (.f32 (.f32 #s(literal -2 binary32) x) (.f32 (.f32 (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (*.f32 x x) #s(literal 2/3 binary32)) x) x) x)))))
(/.f32 (fma.f32 #s(literal -2 binary32) x (pow.f32 (.f32 x (.f32 (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (.f32 x x) #s(literal 2/3 binary32)) x) x)) #s(literal 3 binary32))) (fma.f32 #s(literal -2 binary32) x (-.f32 (.f32 (.f32 x (.f32 (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (.f32 x x) #s(literal 2/3 binary32)) x) x)) (.f32 x (.f32 (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (.f32 x x) #s(literal 2/3 binary32)) x) x))) (.f32 (.f32 #s(literal -2 binary32) x) (.f32 x (.f32 (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (*.f32 x x) #s(literal 2/3 binary32)) x) x))))))
(/.f32 (neg.f32 (.f32 (-.f32 (.f32 (pow.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (.f32 x x) #s(literal 2/3 binary32)) #s(literal 2 binary32)) (pow.f32 x #s(literal 4 binary32))) #s(literal 4 binary32)) x)) (neg.f32 (-.f32 (.f32 (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (.f32 x x) #s(literal 2/3 binary32)) x) x) #s(literal 2 binary32))))
(/.f32 (neg.f32 (.f32 (fma.f32 (pow.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (.f32 x x) #s(literal 2/3 binary32)) #s(literal 3 binary32)) (pow.f32 x #s(literal 6 binary32)) #s(literal 8 binary32)) x)) (neg.f32 (-.f32 (fma.f32 (pow.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (.f32 x x) #s(literal 2/3 binary32)) #s(literal 2 binary32)) (pow.f32 x #s(literal 4 binary32)) #s(literal 4 binary32)) (.f32 (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (.f32 x x) #s(literal 2/3 binary32)) x) (.f32 #s(literal -2 binary32) x)))))
(/.f32 (neg.f32 (.f32 x (-.f32 (.f32 (pow.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (.f32 x x) #s(literal 2/3 binary32)) #s(literal 2 binary32)) (pow.f32 x #s(literal 4 binary32))) #s(literal 4 binary32)))) (neg.f32 (-.f32 (.f32 (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (.f32 x x) #s(literal 2/3 binary32)) x) x) #s(literal 2 binary32))))
(/.f32 (neg.f32 (.f32 x (fma.f32 (pow.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (.f32 x x) #s(literal 2/3 binary32)) #s(literal 3 binary32)) (pow.f32 x #s(literal 6 binary32)) #s(literal 8 binary32)))) (neg.f32 (-.f32 (fma.f32 (pow.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (.f32 x x) #s(literal 2/3 binary32)) #s(literal 2 binary32)) (pow.f32 x #s(literal 4 binary32)) #s(literal 4 binary32)) (.f32 (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (.f32 x x) #s(literal 2/3 binary32)) x) (.f32 #s(literal -2 binary32) x)))))
(/.f32 (.f32 (-.f32 (.f32 (pow.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (.f32 x x) #s(literal 2/3 binary32)) #s(literal 2 binary32)) (pow.f32 x #s(literal 4 binary32))) #s(literal 4 binary32)) x) (-.f32 (.f32 (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (.f32 x x) #s(literal 2/3 binary32)) x) x) #s(literal 2 binary32)))
(/.f32 (.f32 (fma.f32 (pow.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (.f32 x x) #s(literal 2/3 binary32)) #s(literal 3 binary32)) (pow.f32 x #s(literal 6 binary32)) #s(literal 8 binary32)) x) (-.f32 (fma.f32 (pow.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (.f32 x x) #s(literal 2/3 binary32)) #s(literal 2 binary32)) (pow.f32 x #s(literal 4 binary32)) #s(literal 4 binary32)) (.f32 (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (.f32 x x) #s(literal 2/3 binary32)) x) (.f32 #s(literal -2 binary32) x))))
(/.f32 (.f32 x (-.f32 (.f32 (pow.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (.f32 x x) #s(literal 2/3 binary32)) #s(literal 2 binary32)) (pow.f32 x #s(literal 4 binary32))) #s(literal 4 binary32))) (-.f32 (.f32 (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (.f32 x x) #s(literal 2/3 binary32)) x) x) #s(literal 2 binary32)))
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(fma.f32 (fabs.f32 (.f32 (.f32 #s(literal -2 binary32) x) #s(literal 2 binary32))) x (.f32 (.f32 (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (*.f32 x x) #s(literal 2/3 binary32)) x) x) x))
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(.f32 x (fma.f32 #s(literal 2/5 binary32) (.f32 x x) #s(literal 2/3 binary32)))
(/.f32 (+.f32 (pow.f32 (.f32 (.f32 #s(literal 2/5 binary32) (.f32 x x)) x) #s(literal 3 binary32)) (pow.f32 (.f32 #s(literal 2/3 binary32) x) #s(literal 3 binary32))) (fma.f32 (.f32 (.f32 #s(literal 2/5 binary32) (.f32 x x)) x) (.f32 (.f32 #s(literal 2/5 binary32) (.f32 x x)) x) (-.f32 (.f32 (.f32 #s(literal 2/3 binary32) x) (.f32 #s(literal 2/3 binary32) x)) (.f32 (.f32 (.f32 #s(literal 2/5 binary32) (.f32 x x)) x) (.f32 #s(literal 2/3 binary32) x)))))
(/.f32 (+.f32 (pow.f32 (.f32 #s(literal 2/3 binary32) x) #s(literal 3 binary32)) (pow.f32 (.f32 (.f32 #s(literal 2/5 binary32) (.f32 x x)) x) #s(literal 3 binary32))) (fma.f32 (.f32 #s(literal 2/3 binary32) x) (.f32 #s(literal 2/3 binary32) x) (-.f32 (.f32 (.f32 (.f32 #s(literal 2/5 binary32) (.f32 x x)) x) (.f32 (.f32 #s(literal 2/5 binary32) (.f32 x x)) x)) (.f32 (.f32 #s(literal 2/3 binary32) x) (.f32 (.f32 #s(literal 2/5 binary32) (.f32 x x)) x)))))
(/.f32 (+.f32 (pow.f32 (.f32 x (.f32 #s(literal 2/5 binary32) (.f32 x x))) #s(literal 3 binary32)) (pow.f32 (.f32 x #s(literal 2/3 binary32)) #s(literal 3 binary32))) (fma.f32 (.f32 x (.f32 #s(literal 2/5 binary32) (.f32 x x))) (.f32 x (.f32 #s(literal 2/5 binary32) (.f32 x x))) (-.f32 (.f32 (.f32 x #s(literal 2/3 binary32)) (.f32 x #s(literal 2/3 binary32))) (.f32 (.f32 x (.f32 #s(literal 2/5 binary32) (.f32 x x))) (.f32 x #s(literal 2/3 binary32))))))
(/.f32 (+.f32 (pow.f32 (.f32 x #s(literal 2/3 binary32)) #s(literal 3 binary32)) (pow.f32 (.f32 x (.f32 #s(literal 2/5 binary32) (.f32 x x))) #s(literal 3 binary32))) (fma.f32 (.f32 x #s(literal 2/3 binary32)) (.f32 x #s(literal 2/3 binary32)) (-.f32 (.f32 (.f32 x (.f32 #s(literal 2/5 binary32) (.f32 x x))) (.f32 x (.f32 #s(literal 2/5 binary32) (.f32 x x)))) (.f32 (.f32 x #s(literal 2/3 binary32)) (.f32 x (.f32 #s(literal 2/5 binary32) (.f32 x x)))))))
(/.f32 (neg.f32 (.f32 (-.f32 (.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 4/25 binary32)) #s(literal 4/9 binary32)) x)) (neg.f32 (-.f32 (.f32 #s(literal 2/5 binary32) (.f32 x x)) #s(literal 2/3 binary32))))
(/.f32 (neg.f32 (.f32 (fma.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 8/125 binary32) #s(literal 8/27 binary32)) x)) (neg.f32 (-.f32 (fma.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 4/25 binary32) #s(literal 4/9 binary32)) (.f32 (*.f32 x x) #s(literal 4/15 binary32)))))
(/.f32 (neg.f32 (.f32 x (-.f32 (.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 4/25 binary32)) #s(literal 4/9 binary32)))) (neg.f32 (-.f32 (.f32 #s(literal 2/5 binary32) (.f32 x x)) #s(literal 2/3 binary32))))
(/.f32 (neg.f32 (.f32 x (fma.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 8/125 binary32) #s(literal 8/27 binary32)))) (neg.f32 (-.f32 (fma.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 4/25 binary32) #s(literal 4/9 binary32)) (.f32 (*.f32 x x) #s(literal 4/15 binary32)))))
(/.f32 (.f32 (-.f32 (.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 4/25 binary32)) #s(literal 4/9 binary32)) x) (-.f32 (.f32 #s(literal 2/5 binary32) (.f32 x x)) #s(literal 2/3 binary32)))
(/.f32 (.f32 (fma.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 8/125 binary32) #s(literal 8/27 binary32)) x) (-.f32 (fma.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 4/25 binary32) #s(literal 4/9 binary32)) (.f32 (*.f32 x x) #s(literal 4/15 binary32))))
(/.f32 (.f32 x (-.f32 (.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 4/25 binary32)) #s(literal 4/9 binary32))) (-.f32 (.f32 #s(literal 2/5 binary32) (.f32 x x)) #s(literal 2/3 binary32)))
(/.f32 (.f32 x (fma.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 8/125 binary32) #s(literal 8/27 binary32))) (-.f32 (fma.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 4/25 binary32) #s(literal 4/9 binary32)) (.f32 (*.f32 x x) #s(literal 4/15 binary32))))
(fma.f32 (.f32 #s(literal 2/5 binary32) (.f32 x x)) x (*.f32 #s(literal 2/3 binary32) x))
(fma.f32 #s(literal 2/3 binary32) x (.f32 (.f32 #s(literal 2/5 binary32) (*.f32 x x)) x))
(fma.f32 x (.f32 #s(literal 2/5 binary32) (.f32 x x)) (*.f32 x #s(literal 2/3 binary32)))
(fma.f32 x #s(literal 2/3 binary32) (.f32 x (.f32 #s(literal 2/5 binary32) (*.f32 x x))))
(+.f32 (.f32 (.f32 #s(literal 2/5 binary32) (.f32 x x)) x) (.f32 #s(literal 2/3 binary32) x))
(+.f32 (.f32 #s(literal 2/3 binary32) x) (.f32 (.f32 #s(literal 2/5 binary32) (.f32 x x)) x))
(+.f32 (.f32 x (.f32 #s(literal 2/5 binary32) (.f32 x x))) (.f32 x #s(literal 2/3 binary32)))
(+.f32 (.f32 x #s(literal 2/3 binary32)) (.f32 x (.f32 #s(literal 2/5 binary32) (.f32 x x))))
(.f32 (.f32 (fma.f32 #s(literal 2/5 binary32) (*.f32 x x) #s(literal 2/3 binary32)) (neg.f32 x)) (neg.f32 x))
(.f32 (.f32 (fma.f32 #s(literal 2/5 binary32) (*.f32 x x) #s(literal 2/3 binary32)) x) x)
(.f32 (fma.f32 #s(literal 2/5 binary32) (.f32 x x) #s(literal 2/3 binary32)) (*.f32 x x))
(.f32 (.f32 x x) (fma.f32 #s(literal 2/5 binary32) (*.f32 x x) #s(literal 2/3 binary32)))
(.f32 x (.f32 (fma.f32 #s(literal 2/5 binary32) (*.f32 x x) #s(literal 2/3 binary32)) x))
(/.f32 (neg.f32 (.f32 (-.f32 (.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 4/25 binary32)) #s(literal 4/9 binary32)) (.f32 x x))) (neg.f32 (-.f32 (.f32 #s(literal 2/5 binary32) (*.f32 x x)) #s(literal 2/3 binary32))))
(/.f32 (neg.f32 (.f32 (fma.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 8/125 binary32) #s(literal 8/27 binary32)) (.f32 x x))) (neg.f32 (-.f32 (fma.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 4/25 binary32) #s(literal 4/9 binary32)) (.f32 (.f32 x x) #s(literal 4/15 binary32)))))
(/.f32 (.f32 (-.f32 (.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 4/25 binary32)) #s(literal 4/9 binary32)) (.f32 x x)) (-.f32 (.f32 #s(literal 2/5 binary32) (*.f32 x x)) #s(literal 2/3 binary32)))
(/.f32 (.f32 (fma.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 8/125 binary32) #s(literal 8/27 binary32)) (.f32 x x)) (-.f32 (fma.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 4/25 binary32) #s(literal 4/9 binary32)) (.f32 (.f32 x x) #s(literal 4/15 binary32))))

eval171.0ms (3.2%)

Memory: 0.1MiB live, 329.8MiB allocated; 62ms collecting garbage
Compiler: Compiled 40 978 to 4 538 computations (88.9% saved)

prune67.0ms (1.3%)

Memory

-29.4MiB live, 136.1MiB allocated; 31ms collecting garbage

Pruning

9 alts after pruning (2 fresh and 7 done)

	Pruned	Kept	Total
New	1 029	1	1 030
Fresh	0	1	1
Picked	0	5	5
Done	1	2	3
Total	1 030	9	1 039

Accuracy

100.0%

Counts

1 039 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(.f32 #s(literal 1/2 binary32) (-.f32 (log1p.f32 (.f32 #s(literal -4 binary32) (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)))) (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))))
✓	99.8%	(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (+.f32 x x) (-.f32 #s(literal 1 binary32) x))))
▶	99.8%	(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (fma.f32 x #s(literal 2 binary32) (.f32 (.f32 (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (*.f32 x x) #s(literal 2/3 binary32)) x) x) x))))
✓	99.6%	(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (fma.f32 x #s(literal 2 binary32) (.f32 (.f32 (.f32 (fma.f32 (.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) x) x) x))))
✓	97.4%	(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (+.f32 x x)))
✓	99.8%	(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2/7 binary32) (.f32 x x) #s(literal 2/5 binary32)) (.f32 x x) #s(literal 2/3 binary32)) (.f32 x x) #s(literal 2 binary32)) x)))
✓	99.5%	(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f32 (fma.f32 (fma.f32 #s(literal 2/5 binary32) (.f32 x x) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x)))
✓	98.9%	(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f32 (fma.f32 #s(approx (+ ( 2/5 (* x x)) 2/3) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x)))
✓	99.0%	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (.f32 (.f32 x x) x) #s(literal 1/3 binary32) x))

Compiler

Compiled 215 to 152 computations (29.3% saved)

simplify249.0ms (4.7%)

Memory

11.1MiB live, 239.4MiB allocated; 26ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f32 #s(literal -4 binary32) (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)))
cost-diff	0	(log1p.f32 (*.f32 #s(literal -4 binary32) (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32))))
cost-diff	0	(-.f32 (log1p.f32 (.f32 #s(literal -4 binary32) (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)))) (log1p.f32 (.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))))
cost-diff	0	(.f32 #s(literal 1/2 binary32) (-.f32 (log1p.f32 (.f32 #s(literal -4 binary32) (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)))) (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))))
cost-diff	0	(fma.f32 x #s(literal 2 binary32) (.f32 (.f32 (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (*.f32 x x) #s(literal 2/3 binary32)) x) x) x))
cost-diff	0	#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f32 x #s(literal 2 binary32) (.f32 (.f32 (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (*.f32 x x) #s(literal 2/3 binary32)) x) x) x)))
cost-diff	0	(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (fma.f32 x #s(literal 2 binary32) (.f32 (.f32 (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (*.f32 x x) #s(literal 2/3 binary32)) x) x) x))))
cost-diff	2	(.f32 (.f32 (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (*.f32 x x) #s(literal 2/3 binary32)) x) x) x)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	250
0	54	250
1	98	247
2	240	242
3	897	242
4	3269	242
5	7410	242
0	8393	238

Stop Event

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

Calls

Call 1

Inputs
(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (fma.f32 x #s(literal 2 binary32) (.f32 (.f32 (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (*.f32 x x) #s(literal 2/3 binary32)) x) x) x))))
#s(literal 1/2 binary32)
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f32 x #s(literal 2 binary32) (.f32 (.f32 (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (*.f32 x x) #s(literal 2/3 binary32)) x) x) x)))
(fma.f32 x #s(literal 2 binary32) (.f32 (.f32 (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (*.f32 x x) #s(literal 2/3 binary32)) x) x) x))
x
#s(literal 2 binary32)
(.f32 (.f32 (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (*.f32 x x) #s(literal 2/3 binary32)) x) x) x)
(.f32 (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (.f32 x x) #s(literal 2/3 binary32)) x) x)
(.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (*.f32 x x) #s(literal 2/3 binary32)) x)
(fma.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (.f32 x x) #s(literal 2/3 binary32))
(fma.f32 (*.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32))
(*.f32 x x)
#s(literal 2/7 binary32)
#s(literal 2/5 binary32)
#s(literal 2/3 binary32)
(.f32 #s(literal 1/2 binary32) (-.f32 (log1p.f32 (.f32 #s(literal -4 binary32) (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)))) (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))))
#s(literal 1/2 binary32)
(-.f32 (log1p.f32 (.f32 #s(literal -4 binary32) (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)))) (log1p.f32 (.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))))
(log1p.f32 (*.f32 #s(literal -4 binary32) (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32))))
(*.f32 #s(literal -4 binary32) (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)))
#s(literal -4 binary32)
(pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32))
(/.f32 x (-.f32 #s(literal 1 binary32) x))
x
(-.f32 #s(literal 1 binary32) x)
#s(literal 1 binary32)
#s(literal 2 binary32)
(log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))
(*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))
#s(literal -2 binary32)

Outputs
(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (fma.f32 x #s(literal 2 binary32) (.f32 (.f32 (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (*.f32 x x) #s(literal 2/3 binary32)) x) x) x))))
(.f32 #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f32 (fma.f32 (.f32 (fma.f32 (fma.f32 #s(literal 2/7 binary32) (.f32 x x) #s(literal 2/5 binary32)) (.f32 x x) #s(literal 2/3 binary32)) x) x #s(literal 2 binary32)) x)) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f32 x #s(literal 2 binary32) (.f32 (.f32 (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (*.f32 x x) #s(literal 2/3 binary32)) x) x) x)))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (.f32 (fma.f32 (.f32 (fma.f32 (fma.f32 #s(literal 2/7 binary32) (.f32 x x) #s(literal 2/5 binary32)) (.f32 x x) #s(literal 2/3 binary32)) x) x #s(literal 2 binary32)) x))
(fma.f32 x #s(literal 2 binary32) (.f32 (.f32 (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (*.f32 x x) #s(literal 2/3 binary32)) x) x) x))
(.f32 (fma.f32 (.f32 (fma.f32 (fma.f32 #s(literal 2/7 binary32) (.f32 x x) #s(literal 2/5 binary32)) (.f32 x x) #s(literal 2/3 binary32)) x) x #s(literal 2 binary32)) x)
x
#s(literal 2 binary32)
(.f32 (.f32 (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (*.f32 x x) #s(literal 2/3 binary32)) x) x) x)
(.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (fma.f32 #s(literal 2/7 binary32) (.f32 x x) #s(literal 2/5 binary32)) (*.f32 x x) #s(literal 2/3 binary32)))
(.f32 (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (.f32 x x) #s(literal 2/3 binary32)) x) x)
(.f32 (.f32 (fma.f32 (fma.f32 #s(literal 2/7 binary32) (.f32 x x) #s(literal 2/5 binary32)) (.f32 x x) #s(literal 2/3 binary32)) x) x)
(.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (*.f32 x x) #s(literal 2/3 binary32)) x)
(.f32 (fma.f32 (fma.f32 #s(literal 2/7 binary32) (.f32 x x) #s(literal 2/5 binary32)) (*.f32 x x) #s(literal 2/3 binary32)) x)
(fma.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (.f32 x x) #s(literal 2/3 binary32))
(fma.f32 (fma.f32 #s(literal 2/7 binary32) (.f32 x x) #s(literal 2/5 binary32)) (.f32 x x) #s(literal 2/3 binary32))
(fma.f32 (*.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32))
(fma.f32 #s(literal 2/7 binary32) (*.f32 x x) #s(literal 2/5 binary32))
(*.f32 x x)
#s(literal 2/7 binary32)
#s(literal 2/5 binary32)
#s(literal 2/3 binary32)
(.f32 #s(literal 1/2 binary32) (-.f32 (log1p.f32 (.f32 #s(literal -4 binary32) (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)))) (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))))
(.f32 (-.f32 (log1p.f32 (.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal -4 binary32))) (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
(-.f32 (log1p.f32 (.f32 #s(literal -4 binary32) (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)))) (log1p.f32 (.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))))
(-.f32 (log1p.f32 (.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal -4 binary32))) (log1p.f32 (.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))))
(log1p.f32 (*.f32 #s(literal -4 binary32) (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32))))
(log1p.f32 (*.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal -4 binary32)))
(*.f32 #s(literal -4 binary32) (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)))
(*.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal -4 binary32))
#s(literal -4 binary32)
(pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32))
(/.f32 x (-.f32 #s(literal 1 binary32) x))
x
(-.f32 #s(literal 1 binary32) x)
#s(literal 1 binary32)
#s(literal 2 binary32)
(log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))
(*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))
#s(literal -2 binary32)

localize94.0ms (1.8%)

Memory

-5.1MiB live, 188.9MiB allocated; 19ms collecting garbage

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.0625	(/.f32 x (-.f32 #s(literal 1 binary32) x))
accuracy	0.0625	(log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))
accuracy	0.07392504884221009	(*.f32 #s(literal -4 binary32) (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)))
accuracy	0.08984375	(pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32))
accuracy	0.05118471800160947	#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f32 x #s(literal 2 binary32) (.f32 (.f32 (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (*.f32 x x) #s(literal 2/3 binary32)) x) x) x)))
accuracy	0.09375	(.f32 (.f32 (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (*.f32 x x) #s(literal 2/3 binary32)) x) x) x)
accuracy	0.12109375	(.f32 (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (.f32 x x) #s(literal 2/3 binary32)) x) x)
accuracy	0.3359375	(.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (*.f32 x x) #s(literal 2/3 binary32)) x)

Samples

75.0ms

256×

valid

Compiler

Compiled 234 to 34 computations (85.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 58.0ms

ival-mult: 18.0ms (30.8% of total)

ival-div: 15.0ms (25.7% of total)

const: 11.0ms (18.8% of total)

ival-log1p: 5.0ms (8.6% of total)

ival-add: 3.0ms (5.1% of total)

ival-sub: 3.0ms (5.1% of total)

ival-pow2: 3.0ms (5.1% of total)

exact: 1.0ms (1.7% of total)

adjust: 0.0ms (0% of total)

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

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

series10.0ms (0.2%)

Memory

20.0MiB live, 20.0MiB allocated; 0ms collecting garbage

Counts

13 → 92

Calls

Call 1

Inputs
(.f32 (.f32 (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (*.f32 x x) #s(literal 2/3 binary32)) x) x) x)
(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (fma.f32 x #s(literal 2 binary32) (.f32 (.f32 (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (*.f32 x x) #s(literal 2/3 binary32)) x) x) x))))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f32 x #s(literal 2 binary32) (.f32 (.f32 (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (*.f32 x x) #s(literal 2/3 binary32)) x) x) x)))
(fma.f32 x #s(literal 2 binary32) (.f32 (.f32 (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (*.f32 x x) #s(literal 2/3 binary32)) x) x) x))
(.f32 #s(literal 1/2 binary32) (-.f32 (log1p.f32 (.f32 #s(literal -4 binary32) (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)))) (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))))
(-.f32 (log1p.f32 (.f32 #s(literal -4 binary32) (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)))) (log1p.f32 (.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))))
(log1p.f32 (*.f32 #s(literal -4 binary32) (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32))))
(*.f32 #s(literal -4 binary32) (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)))
(.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (*.f32 x x) #s(literal 2/3 binary32)) x)
(.f32 (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (.f32 x x) #s(literal 2/3 binary32)) x) x)
(pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32))
(log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))
(/.f32 x (-.f32 #s(literal 1 binary32) x))

Outputs
(* 2/3 (pow x 3))
(* (pow x 3) (+ 2/3 (* 2/5 (pow x 2))))
(* (pow x 3) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* 2 x)
(* x (+ 2 (* 2/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(* -4 (pow x 2))
(* (pow x 2) (- (* -8 x) 4))
(* (pow x 2) (- (* x (- (* -20 x) 8)) 4))
(* (pow x 2) (- (* x (- (* x (- (* -48 x) 20)) 8)) 4))
(* (pow x 2) (- (* x (- (* -12 x) 8)) 4))
(* (pow x 2) (- (* x (- (* x (- (* -16 x) 12)) 8)) 4))
(* 2/3 x)
(* x (+ 2/3 (* 2/5 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))
(* 2/3 (pow x 2))
(* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))
(* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 x)))
(* (pow x 2) (+ 1 (* x (+ 2 (* 3 x)))))
(* (pow x 2) (+ 1 (* x (+ 2 (* x (+ 3 (* 4 x)))))))
(* -2 x)
(* x (- (* -4 x) 2))
(* x (- (* x (- (* -26/3 x) 4)) 2))
(* x (- (* x (- (* x (- (* -20 x) 26/3)) 4)) 2))
(* x (+ 1 x))
(* x (+ 1 (* x (+ 1 x))))
(* x (+ 1 (* x (+ 1 (* x (+ 1 x))))))
(* 2/7 (pow x 7))
(* (pow x 7) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2))))))
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(log -1)
(+ (log -1) (* 2 (/ 1 x)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))
(* (pow x 7) (+ 2/7 (+ (/ 2/3 (pow x 4)) (+ (* 2/5 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(* 1/2 (- (log -3) (log 3)))
(+ (* 1/2 (- (log -3) (log 3))) (/ 1 x))
(+ (* 1/2 (- (log -3) (log 3))) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* 1/2 (- (log -3) (log 3))) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(- (log -3) (log 3))
(- (+ (log -3) (* 2 (/ 1 x))) (log 3))
(- (+ (log -3) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) (log 3))
(- (+ (log -3) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5)))))) (log 3))
(log -3)
(+ (log -3) (* 8/3 (/ 1 x)))
(+ (log -3) (+ (/ 4/9 (pow x 2)) (* 8/3 (/ 1 x))))
(+ (log -3) (+ (/ 4/9 (pow x 2)) (+ (* 8/3 (/ 1 x)) (* 80/81 (/ 1 (pow x 3))))))
-4
(* -1 (+ 4 (* 8 (/ 1 x))))
(- (* -1 (/ (+ 8 (* 12 (/ 1 x))) x)) 4)
(- (* -1 (/ (+ 12 (* 16 (/ 1 x))) (pow x 2))) (+ 4 (* 8 (/ 1 x))))
(* 2/7 (pow x 5))
(* (pow x 5) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2))))))
(* 2/7 (pow x 6))
(* (pow x 6) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2))))))
1
(+ 1 (* 2 (/ 1 x)))
(+ 1 (+ (* 2 (/ 1 x)) (/ 3 (pow x 2))))
(+ 1 (+ (* 2 (/ 1 x)) (+ (* 4 (/ 1 (pow x 3))) (/ 3 (pow x 2)))))
(log 3)
(+ (log 3) (* 2/3 (/ 1 x)))
(+ (log 3) (+ (/ 4/9 (pow x 2)) (* 2/3 (/ 1 x))))
(+ (log 3) (+ (/ 4/9 (pow x 2)) (+ (* 2/3 (/ 1 x)) (* 26/81 (/ 1 (pow x 3))))))
-1
(* -1 (+ 1 (/ 1 x)))
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)
(- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow x 2)))) (pow x 2))) 2/7)))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (- (log -3) (log 3))))
(- (+ (log -3) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) (log 3))
(+ (log -3) (* -1 (/ (- (* -1 (/ (+ 4/9 (* 80/81 (/ 1 x))) x)) 8/3) x)))
(- (* -1 (/ (+ 8 (+ (* 12 (/ 1 x)) (/ 16 (pow x 2)))) x)) 4)
(* -1 (* (pow x 5) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow x 2)))) (pow x 2))) 2/7)))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 3 (* 4 (/ 1 x))) x)) 2) x)))
(+ (log 3) (* -1 (/ (- (* -1 (/ (+ 4/9 (* 26/81 (/ 1 x))) x)) 2/3) x)))
(- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1)

Calls

3 calls:

Time

Variable

Point

Expression

4.0ms

inf

((* (* (* (+ (* (+ (* (* x x) 2/7) 2/5) (* x x)) 2/3) x) x) x) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (+ (* x 2) (* (* (* (+ (* (+ (* (* x x) 2/7) 2/5) (* x x)) 2/3) x) x) x)) (* 1/2 (- (log (+ 1 (* -4 (pow (/ x (- 1 x)) 2)))) (log (+ 1 (* -2 (/ x (- 1 x))))))) (- (log (+ 1 (* -4 (pow (/ x (- 1 x)) 2)))) (log (+ 1 (* -2 (/ x (- 1 x)))))) (log (+ 1 (* -4 (pow (/ x (- 1 x)) 2)))) (* -4 (pow (/ x (- 1 x)) 2)) (* (+ (* (+ (* (* x x) 2/7) 2/5) (* x x)) 2/3) x) (* (* (+ (* (+ (* (* x x) 2/7) 2/5) (* x x)) 2/3) x) x) (pow (/ x (- 1 x)) 2) (log (+ 1 (* -2 (/ x (- 1 x))))) (/ x (- 1 x)))

2.0ms

-inf

((* (* (* (+ (* (+ (* (* x x) 2/7) 2/5) (* x x)) 2/3) x) x) x) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (+ (* x 2) (* (* (* (+ (* (+ (* (* x x) 2/7) 2/5) (* x x)) 2/3) x) x) x)) (* 1/2 (- (log (+ 1 (* -4 (pow (/ x (- 1 x)) 2)))) (log (+ 1 (* -2 (/ x (- 1 x))))))) (- (log (+ 1 (* -4 (pow (/ x (- 1 x)) 2)))) (log (+ 1 (* -2 (/ x (- 1 x)))))) (log (+ 1 (* -4 (pow (/ x (- 1 x)) 2)))) (* -4 (pow (/ x (- 1 x)) 2)) (* (+ (* (+ (* (* x x) 2/7) 2/5) (* x x)) 2/3) x) (* (* (+ (* (+ (* (* x x) 2/7) 2/5) (* x x)) 2/3) x) x) (pow (/ x (- 1 x)) 2) (log (+ 1 (* -2 (/ x (- 1 x))))) (/ x (- 1 x)))

2.0ms

((* (* (* (+ (* (+ (* (* x x) 2/7) 2/5) (* x x)) 2/3) x) x) x) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (+ (* x 2) (* (* (* (+ (* (+ (* (* x x) 2/7) 2/5) (* x x)) 2/3) x) x) x)) (* 1/2 (- (log (+ 1 (* -4 (pow (/ x (- 1 x)) 2)))) (log (+ 1 (* -2 (/ x (- 1 x))))))) (- (log (+ 1 (* -4 (pow (/ x (- 1 x)) 2)))) (log (+ 1 (* -2 (/ x (- 1 x)))))) (log (+ 1 (* -4 (pow (/ x (- 1 x)) 2)))) (* -4 (pow (/ x (- 1 x)) 2)) (* (+ (* (+ (* (* x x) 2/7) 2/5) (* x x)) 2/3) x) (* (* (+ (* (+ (* (* x x) 2/7) 2/5) (* x x)) 2/3) x) x) (pow (/ x (- 1 x)) 2) (log (+ 1 (* -2 (/ x (- 1 x))))) (/ x (- 1 x)))

simplify208.0ms (3.9%)

Memory

-15.4MiB live, 210.9MiB allocated; 41ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	311	1088
1	999	1070
2	3002	1044
0	8306	1007

Stop Event

1×	iter limit
1×	node limit

Counts

92 → 91

Calls

Call 1

Inputs
(* 2/3 (pow x 3))
(* (pow x 3) (+ 2/3 (* 2/5 (pow x 2))))
(* (pow x 3) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* 2 x)
(* x (+ 2 (* 2/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(* -4 (pow x 2))
(* (pow x 2) (- (* -8 x) 4))
(* (pow x 2) (- (* x (- (* -20 x) 8)) 4))
(* (pow x 2) (- (* x (- (* x (- (* -48 x) 20)) 8)) 4))
(* (pow x 2) (- (* x (- (* -12 x) 8)) 4))
(* (pow x 2) (- (* x (- (* x (- (* -16 x) 12)) 8)) 4))
(* 2/3 x)
(* x (+ 2/3 (* 2/5 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))
(* 2/3 (pow x 2))
(* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))
(* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 x)))
(* (pow x 2) (+ 1 (* x (+ 2 (* 3 x)))))
(* (pow x 2) (+ 1 (* x (+ 2 (* x (+ 3 (* 4 x)))))))
(* -2 x)
(* x (- (* -4 x) 2))
(* x (- (* x (- (* -26/3 x) 4)) 2))
(* x (- (* x (- (* x (- (* -20 x) 26/3)) 4)) 2))
(* x (+ 1 x))
(* x (+ 1 (* x (+ 1 x))))
(* x (+ 1 (* x (+ 1 (* x (+ 1 x))))))
(* 2/7 (pow x 7))
(* (pow x 7) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2))))))
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(log -1)
(+ (log -1) (* 2 (/ 1 x)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))
(* (pow x 7) (+ 2/7 (+ (/ 2/3 (pow x 4)) (+ (* 2/5 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(* 1/2 (- (log -3) (log 3)))
(+ (* 1/2 (- (log -3) (log 3))) (/ 1 x))
(+ (* 1/2 (- (log -3) (log 3))) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* 1/2 (- (log -3) (log 3))) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(- (log -3) (log 3))
(- (+ (log -3) (* 2 (/ 1 x))) (log 3))
(- (+ (log -3) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) (log 3))
(- (+ (log -3) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5)))))) (log 3))
(log -3)
(+ (log -3) (* 8/3 (/ 1 x)))
(+ (log -3) (+ (/ 4/9 (pow x 2)) (* 8/3 (/ 1 x))))
(+ (log -3) (+ (/ 4/9 (pow x 2)) (+ (* 8/3 (/ 1 x)) (* 80/81 (/ 1 (pow x 3))))))
-4
(* -1 (+ 4 (* 8 (/ 1 x))))
(- (* -1 (/ (+ 8 (* 12 (/ 1 x))) x)) 4)
(- (* -1 (/ (+ 12 (* 16 (/ 1 x))) (pow x 2))) (+ 4 (* 8 (/ 1 x))))
(* 2/7 (pow x 5))
(* (pow x 5) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2))))))
(* 2/7 (pow x 6))
(* (pow x 6) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2))))))
1
(+ 1 (* 2 (/ 1 x)))
(+ 1 (+ (* 2 (/ 1 x)) (/ 3 (pow x 2))))
(+ 1 (+ (* 2 (/ 1 x)) (+ (* 4 (/ 1 (pow x 3))) (/ 3 (pow x 2)))))
(log 3)
(+ (log 3) (* 2/3 (/ 1 x)))
(+ (log 3) (+ (/ 4/9 (pow x 2)) (* 2/3 (/ 1 x))))
(+ (log 3) (+ (/ 4/9 (pow x 2)) (+ (* 2/3 (/ 1 x)) (* 26/81 (/ 1 (pow x 3))))))
-1
(* -1 (+ 1 (/ 1 x)))
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)
(- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow x 2)))) (pow x 2))) 2/7)))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (- (log -3) (log 3))))
(- (+ (log -3) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) (log 3))
(+ (log -3) (* -1 (/ (- (* -1 (/ (+ 4/9 (* 80/81 (/ 1 x))) x)) 8/3) x)))
(- (* -1 (/ (+ 8 (+ (* 12 (/ 1 x)) (/ 16 (pow x 2)))) x)) 4)
(* -1 (* (pow x 5) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow x 2)))) (pow x 2))) 2/7)))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 3 (* 4 (/ 1 x))) x)) 2) x)))
(+ (log 3) (* -1 (/ (- (* -1 (/ (+ 4/9 (* 26/81 (/ 1 x))) x)) 2/3) x)))
(- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1)

Outputs
(* 2/3 (pow x 3))
(*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 2/3 binary32))
(* (pow x 3) (+ 2/3 (* 2/5 (pow x 2))))
(.f32 (fma.f32 (.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) (pow.f32 x #s(literal 3 binary32)))
(* (pow x 3) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))
(.f32 (fma.f32 (fma.f32 #s(literal 2/7 binary32) (.f32 x x) #s(literal 2/5 binary32)) (*.f32 x x) #s(literal 2/3 binary32)) (pow.f32 x #s(literal 3 binary32)))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(fma.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) (pow.f32 x #s(literal 3 binary32)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (pow.f32 x #s(literal 3 binary32)) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* x (+ 2 (* 2/3 (pow x 2))))
(.f32 (fma.f32 (.f32 x x) #s(literal 2/3 binary32) #s(literal 2 binary32)) x)
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x)
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2/7 binary32) (.f32 x x) #s(literal 2/5 binary32)) (.f32 x x) #s(literal 2/3 binary32)) (.f32 x x) #s(literal 2 binary32)) x)
(* -4 (pow x 2))
(.f32 #s(literal -4 binary32) (.f32 x x))
(* (pow x 2) (- (* -8 x) 4))
(.f32 (.f32 (-.f32 (*.f32 #s(literal -8 binary32) x) #s(literal 4 binary32)) x) x)
(* (pow x 2) (- (* x (- (* -20 x) 8)) 4))
(.f32 (.f32 (-.f32 (.f32 (-.f32 (.f32 #s(literal -20 binary32) x) #s(literal 8 binary32)) x) #s(literal 4 binary32)) x) x)
(* (pow x 2) (- (* x (- (* x (- (* -48 x) 20)) 8)) 4))
(.f32 (.f32 (-.f32 (.f32 (-.f32 (.f32 (-.f32 (*.f32 #s(literal -48 binary32) x) #s(literal 20 binary32)) x) #s(literal 8 binary32)) x) #s(literal 4 binary32)) x) x)
(* (pow x 2) (- (* x (- (* -12 x) 8)) 4))
(.f32 (.f32 (-.f32 (.f32 (-.f32 (.f32 #s(literal -12 binary32) x) #s(literal 8 binary32)) x) #s(literal 4 binary32)) x) x)
(* (pow x 2) (- (* x (- (* x (- (* -16 x) 12)) 8)) 4))
(.f32 (.f32 (-.f32 (.f32 (-.f32 (.f32 (-.f32 (*.f32 #s(literal -16 binary32) x) #s(literal 12 binary32)) x) #s(literal 8 binary32)) x) #s(literal 4 binary32)) x) x)
(* 2/3 x)
(*.f32 #s(literal 2/3 binary32) x)
(* x (+ 2/3 (* 2/5 (pow x 2))))
(.f32 (fma.f32 (.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) x)
(* x (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))
(.f32 (fma.f32 (fma.f32 #s(literal 2/7 binary32) (.f32 x x) #s(literal 2/5 binary32)) (*.f32 x x) #s(literal 2/3 binary32)) x)
(* 2/3 (pow x 2))
(.f32 (.f32 x x) #s(literal 2/3 binary32))
(* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))
(.f32 (.f32 (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) x) x)
(* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))
(.f32 (.f32 (fma.f32 (fma.f32 #s(literal 2/7 binary32) (.f32 x x) #s(literal 2/5 binary32)) (.f32 x x) #s(literal 2/3 binary32)) x) x)
(pow x 2)
(*.f32 x x)
(* (pow x 2) (+ 1 (* 2 x)))
(.f32 (.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 1 binary32)) x) x)
(* (pow x 2) (+ 1 (* x (+ 2 (* 3 x)))))
(.f32 (.f32 (fma.f32 (fma.f32 #s(literal 3 binary32) x #s(literal 2 binary32)) x #s(literal 1 binary32)) x) x)
(* (pow x 2) (+ 1 (* x (+ 2 (* x (+ 3 (* 4 x)))))))
(.f32 (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 4 binary32) x #s(literal 3 binary32)) x #s(literal 2 binary32)) x #s(literal 1 binary32)) x) x)
(* -2 x)
(*.f32 #s(literal -2 binary32) x)
(* x (- (* -4 x) 2))
(.f32 (-.f32 (.f32 #s(literal -4 binary32) x) #s(literal 2 binary32)) x)
(* x (- (* x (- (* -26/3 x) 4)) 2))
(.f32 (-.f32 (.f32 (-.f32 (*.f32 #s(literal -26/3 binary32) x) #s(literal 4 binary32)) x) #s(literal 2 binary32)) x)
(* x (- (* x (- (* x (- (* -20 x) 26/3)) 4)) 2))
(.f32 (-.f32 (.f32 (-.f32 (.f32 (-.f32 (.f32 #s(literal -20 binary32) x) #s(literal 26/3 binary32)) x) #s(literal 4 binary32)) x) #s(literal 2 binary32)) x)
(* x (+ 1 x))
(fma.f32 x x x)
(* x (+ 1 (* x (+ 1 x))))
(fma.f32 (fma.f32 x x x) x x)
(* x (+ 1 (* x (+ 1 (* x (+ 1 x))))))
(fma.f32 (fma.f32 (fma.f32 x x x) x x) x x)
(* 2/7 (pow x 7))
(*.f32 (pow.f32 x #s(literal 7 binary32)) #s(literal 2/7 binary32))
(* (pow x 7) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))
(.f32 (+.f32 (/.f32 #s(literal 2/5 binary32) (.f32 x x)) #s(literal 2/7 binary32)) (pow.f32 x #s(literal 7 binary32)))
(* (pow x 7) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2))))))
(.f32 (-.f32 (/.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 (/.f32 #s(literal -2/5 binary32) (.f32 x x)) #s(literal 2/7 binary32))) (pow.f32 x #s(literal 7 binary32)))
(* 1/2 (log -1))
(*.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32))
(+ (* 1/2 (log -1)) (/ 1 x))
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 x x)) #s(literal 1 binary32)) x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(-.f32 (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 x x)) #s(literal 1 binary32)) x)) (/.f32 #s(literal -1/5 binary32) (pow.f32 x #s(literal 5 binary32))))
(log -1)
(log.f32 #s(literal -1 binary32))
(+ (log -1) (* 2 (/ 1 x)))
(-.f32 (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal -2 binary32) x))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+.f32 (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 2/3 binary32) x) x) #s(literal 2 binary32)) x) (log.f32 #s(literal -1 binary32)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))
(-.f32 (+.f32 (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 2/3 binary32) x) x) #s(literal 2 binary32)) x) (log.f32 #s(literal -1 binary32))) (/.f32 #s(literal -2/5 binary32) (pow.f32 x #s(literal 5 binary32))))
(* (pow x 7) (+ 2/7 (+ (/ 2/3 (pow x 4)) (+ (* 2/5 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(.f32 (-.f32 (-.f32 (/.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 (/.f32 #s(literal -2/5 binary32) (.f32 x x)) #s(literal 2/7 binary32))) (/.f32 #s(literal -2 binary32) (pow.f32 x #s(literal 6 binary32)))) (pow.f32 x #s(literal 7 binary32)))
(* 1/2 (- (log -3) (log 3)))
(*.f32 (-.f32 (log.f32 #s(literal -3 binary32)) (log.f32 #s(literal 3 binary32))) #s(literal 1/2 binary32))
(+ (* 1/2 (- (log -3) (log 3))) (/ 1 x))
(fma.f32 (-.f32 (log.f32 #s(literal -3 binary32)) (log.f32 #s(literal 3 binary32))) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x))
(+ (* 1/2 (- (log -3) (log 3))) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(fma.f32 (-.f32 (log.f32 #s(literal -3 binary32)) (log.f32 #s(literal 3 binary32))) #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 x x)) #s(literal 1 binary32)) x))
(+ (* 1/2 (- (log -3) (log 3))) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(-.f32 (fma.f32 (-.f32 (log.f32 #s(literal -3 binary32)) (log.f32 #s(literal 3 binary32))) #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 x x)) #s(literal 1 binary32)) x)) (/.f32 #s(literal -1/5 binary32) (pow.f32 x #s(literal 5 binary32))))
(- (log -3) (log 3))
(-.f32 (log.f32 #s(literal -3 binary32)) (log.f32 #s(literal 3 binary32)))
(- (+ (log -3) (* 2 (/ 1 x))) (log 3))
(-.f32 (-.f32 (log.f32 #s(literal -3 binary32)) (/.f32 #s(literal -2 binary32) x)) (log.f32 #s(literal 3 binary32)))
(- (+ (log -3) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) (log 3))
(-.f32 (+.f32 (-.f32 (log.f32 #s(literal -3 binary32)) (/.f32 #s(literal -2 binary32) x)) (/.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 3 binary32)))) (log.f32 #s(literal 3 binary32)))
(- (+ (log -3) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5)))))) (log 3))
(-.f32 (-.f32 (+.f32 (-.f32 (log.f32 #s(literal -3 binary32)) (/.f32 #s(literal -2 binary32) x)) (/.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 3 binary32)))) (/.f32 #s(literal -2/5 binary32) (pow.f32 x #s(literal 5 binary32)))) (log.f32 #s(literal 3 binary32)))
(log -3)
(log.f32 #s(literal -3 binary32))
(+ (log -3) (* 8/3 (/ 1 x)))
(-.f32 (log.f32 #s(literal -3 binary32)) (/.f32 #s(literal -8/3 binary32) x))
(+ (log -3) (+ (/ 4/9 (pow x 2)) (* 8/3 (/ 1 x))))
(+.f32 (/.f32 (+.f32 (/.f32 #s(literal 4/9 binary32) x) #s(literal 8/3 binary32)) x) (log.f32 #s(literal -3 binary32)))
(+ (log -3) (+ (/ 4/9 (pow x 2)) (+ (* 8/3 (/ 1 x)) (* 80/81 (/ 1 (pow x 3))))))
(-.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 4/9 binary32) x) #s(literal 8/3 binary32)) x) (log.f32 #s(literal -3 binary32))) (/.f32 #s(literal -80/81 binary32) (pow.f32 x #s(literal 3 binary32))))
-4
#s(literal -4 binary32)
(* -1 (+ 4 (* 8 (/ 1 x))))
(-.f32 #s(literal -4 binary32) (/.f32 #s(literal 8 binary32) x))
(- (* -1 (/ (+ 8 (* 12 (/ 1 x))) x)) 4)
(-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 12 binary32) x) #s(literal -1 binary32) #s(literal -8 binary32)) x) #s(literal 4 binary32))
(- (* -1 (/ (+ 12 (* 16 (/ 1 x))) (pow x 2))) (+ 4 (* 8 (/ 1 x))))
(-.f32 (/.f32 (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal 16 binary32) x) #s(literal 12 binary32)) x) #s(literal -1 binary32) #s(literal -8 binary32)) x) #s(literal 4 binary32))
(* 2/7 (pow x 5))
(*.f32 (pow.f32 x #s(literal 5 binary32)) #s(literal 2/7 binary32))
(* (pow x 5) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))
(.f32 (pow.f32 x #s(literal 5 binary32)) (+.f32 (/.f32 #s(literal 2/5 binary32) (.f32 x x)) #s(literal 2/7 binary32)))
(* (pow x 5) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2))))))
(.f32 (pow.f32 x #s(literal 5 binary32)) (-.f32 (/.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 (/.f32 #s(literal -2/5 binary32) (.f32 x x)) #s(literal 2/7 binary32))))
(* 2/7 (pow x 6))
(*.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 2/7 binary32))
(* (pow x 6) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))
(.f32 (pow.f32 x #s(literal 6 binary32)) (+.f32 (/.f32 #s(literal 2/5 binary32) (.f32 x x)) #s(literal 2/7 binary32)))
(* (pow x 6) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2))))))
(.f32 (pow.f32 x #s(literal 6 binary32)) (-.f32 (/.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 (/.f32 #s(literal -2/5 binary32) (.f32 x x)) #s(literal 2/7 binary32))))
1
#s(literal 1 binary32)
(+ 1 (* 2 (/ 1 x)))
(+.f32 (/.f32 #s(literal 2 binary32) x) #s(literal 1 binary32))
(+ 1 (+ (* 2 (/ 1 x)) (/ 3 (pow x 2))))
(+.f32 (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) x) #s(literal 2 binary32)) x) #s(literal 1 binary32))
(+ 1 (+ (* 2 (/ 1 x)) (+ (* 4 (/ 1 (pow x 3))) (/ 3 (pow x 2)))))
(-.f32 (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 4 binary32) x) #s(literal 3 binary32)) x) x) (-.f32 (/.f32 #s(literal -2 binary32) x) #s(literal 1 binary32)))
(log 3)
(log.f32 #s(literal 3 binary32))
(+ (log 3) (* 2/3 (/ 1 x)))
(-.f32 (log.f32 #s(literal 3 binary32)) (/.f32 #s(literal -2/3 binary32) x))
(+ (log 3) (+ (/ 4/9 (pow x 2)) (* 2/3 (/ 1 x))))
(+.f32 (/.f32 (+.f32 #s(literal 2/3 binary32) (/.f32 #s(literal 4/9 binary32) x)) x) (log.f32 #s(literal 3 binary32)))
(+ (log 3) (+ (/ 4/9 (pow x 2)) (+ (* 2/3 (/ 1 x)) (* 26/81 (/ 1 (pow x 3))))))
(-.f32 (+.f32 (/.f32 (+.f32 #s(literal 2/3 binary32) (/.f32 #s(literal 4/9 binary32) x)) x) (log.f32 #s(literal 3 binary32))) (/.f32 #s(literal -26/81 binary32) (pow.f32 x #s(literal 3 binary32))))
-1
#s(literal -1 binary32)
(* -1 (+ 1 (/ 1 x)))
(-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) x))
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)
(-.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) x)) x) #s(literal 1 binary32))
(- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x)))
(-.f32 (-.f32 (/.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) x)) x) x) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) x))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow x 2)))) (pow x 2))) 2/7)))
(.f32 (neg.f32 (pow.f32 x #s(literal 7 binary32))) (-.f32 (/.f32 (/.f32 (+.f32 (/.f32 #s(literal -2/3 binary32) (.f32 x x)) #s(literal -2/5 binary32)) x) x) #s(literal 2/7 binary32)))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(-.f32 (.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32)) (/.f32 (-.f32 (+.f32 (/.f32 #s(literal -1/3 binary32) (.f32 x x)) (/.f32 #s(literal -1/5 binary32) (pow.f32 x #s(literal 4 binary32)))) #s(literal 1 binary32)) x))
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))
(-.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (/.f32 (+.f32 (/.f32 #s(literal -2/5 binary32) (*.f32 x x)) #s(literal -2/3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (/.f32 #s(literal -2 binary32) x))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))))
(.f32 (neg.f32 (pow.f32 x #s(literal 7 binary32))) (-.f32 (/.f32 (fma.f32 (/.f32 (/.f32 #s(literal 2 binary32) x) x) #s(literal -1 binary32) #s(literal -2/3 binary32)) (pow.f32 x #s(literal 4 binary32))) (+.f32 (/.f32 #s(literal 2/5 binary32) (.f32 x x)) #s(literal 2/7 binary32))))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (- (log -3) (log 3))))
(-.f32 (.f32 (-.f32 (log.f32 #s(literal -3 binary32)) (log.f32 #s(literal 3 binary32))) #s(literal 1/2 binary32)) (/.f32 (-.f32 (+.f32 (/.f32 #s(literal -1/3 binary32) (.f32 x x)) (/.f32 #s(literal -1/5 binary32) (pow.f32 x #s(literal 4 binary32)))) #s(literal 1 binary32)) x))
(- (+ (log -3) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) (log 3))
(-.f32 (-.f32 (-.f32 (log.f32 #s(literal -3 binary32)) (/.f32 (+.f32 (/.f32 #s(literal -2/5 binary32) (*.f32 x x)) #s(literal -2/3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (/.f32 #s(literal -2 binary32) x)) (log.f32 #s(literal 3 binary32)))
(+ (log -3) (* -1 (/ (- (* -1 (/ (+ 4/9 (* 80/81 (/ 1 x))) x)) 8/3) x)))
(-.f32 (log.f32 #s(literal -3 binary32)) (/.f32 (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal 80/81 binary32) x) #s(literal 4/9 binary32)) x) #s(literal -1 binary32) #s(literal -8/3 binary32)) x))
(- (* -1 (/ (+ 8 (+ (* 12 (/ 1 x)) (/ 16 (pow x 2)))) x)) 4)
(-.f32 (/.f32 (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal 16 binary32) x) #s(literal 12 binary32)) x) #s(literal -1 binary32) #s(literal -8 binary32)) x) #s(literal 4 binary32))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow x 2)))) (pow x 2))) 2/7)))
(.f32 (neg.f32 (pow.f32 x #s(literal 5 binary32))) (-.f32 (/.f32 (/.f32 (+.f32 (/.f32 #s(literal -2/3 binary32) (.f32 x x)) #s(literal -2/5 binary32)) x) x) #s(literal 2/7 binary32)))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 3 (* 4 (/ 1 x))) x)) 2) x)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal 4 binary32) x) #s(literal 3 binary32)) x) #s(literal -1 binary32) #s(literal -2 binary32)) x))
(+ (log 3) (* -1 (/ (- (* -1 (/ (+ 4/9 (* 26/81 (/ 1 x))) x)) 2/3) x)))
(-.f32 (log.f32 #s(literal 3 binary32)) (/.f32 (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal 26/81 binary32) x) #s(literal 4/9 binary32)) x) #s(literal -1 binary32) #s(literal -2/3 binary32)) x))
(- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1)
(-.f32 (/.f32 (+.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) x)) x) #s(literal -1 binary32)) x) #s(literal 1 binary32))

rewrite356.0ms (6.7%)

Memory

21.2MiB live, 273.9MiB allocated; 136ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	208
0	54	197
1	207	180
2	1480	174
0	8911	174

Stop Event

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

Counts

13 → 264

Calls

Call 1

Inputs
(.f32 (.f32 (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (*.f32 x x) #s(literal 2/3 binary32)) x) x) x)
(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (fma.f32 x #s(literal 2 binary32) (.f32 (.f32 (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (*.f32 x x) #s(literal 2/3 binary32)) x) x) x))))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f32 x #s(literal 2 binary32) (.f32 (.f32 (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (*.f32 x x) #s(literal 2/3 binary32)) x) x) x)))
(fma.f32 x #s(literal 2 binary32) (.f32 (.f32 (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (*.f32 x x) #s(literal 2/3 binary32)) x) x) x))
(.f32 #s(literal 1/2 binary32) (-.f32 (log1p.f32 (.f32 #s(literal -4 binary32) (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)))) (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))))
(-.f32 (log1p.f32 (.f32 #s(literal -4 binary32) (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)))) (log1p.f32 (.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))))
(log1p.f32 (*.f32 #s(literal -4 binary32) (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32))))
(*.f32 #s(literal -4 binary32) (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)))
(.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (*.f32 x x) #s(literal 2/3 binary32)) x)
(.f32 (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (.f32 x x) #s(literal 2/3 binary32)) x) x)
(pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32))
(log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))
(/.f32 x (-.f32 #s(literal 1 binary32) x))

Outputs
(.f32 (.f32 (neg.f32 x) (.f32 (fma.f32 (fma.f32 #s(literal 2/7 binary32) (.f32 x x) #s(literal 2/5 binary32)) (*.f32 x x) #s(literal 2/3 binary32)) x)) (neg.f32 x))
(.f32 (.f32 (.f32 (fma.f32 (fma.f32 #s(literal 2/7 binary32) (.f32 x x) #s(literal 2/5 binary32)) (*.f32 x x) #s(literal 2/3 binary32)) x) x) x)
(.f32 (.f32 (fma.f32 (fma.f32 #s(literal 2/7 binary32) (.f32 x x) #s(literal 2/5 binary32)) (.f32 x x) #s(literal 2/3 binary32)) x) (*.f32 x x))
(.f32 (fma.f32 (fma.f32 #s(literal 2/7 binary32) (.f32 x x) #s(literal 2/5 binary32)) (*.f32 x x) #s(literal 2/3 binary32)) (pow.f32 x #s(literal 3 binary32)))
(.f32 (.f32 x x) (.f32 (fma.f32 (fma.f32 #s(literal 2/7 binary32) (.f32 x x) #s(literal 2/5 binary32)) (*.f32 x x) #s(literal 2/3 binary32)) x))
(.f32 x (.f32 (.f32 (fma.f32 (fma.f32 #s(literal 2/7 binary32) (.f32 x x) #s(literal 2/5 binary32)) (*.f32 x x) #s(literal 2/3 binary32)) x) x))
(.f32 #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f32 x (fma.f32 (.f32 (fma.f32 (fma.f32 #s(literal 2/7 binary32) (.f32 x x) #s(literal 2/5 binary32)) (.f32 x x) #s(literal 2/3 binary32)) x) x #s(literal 2 binary32)))) #s(literal 1/2 binary32))
(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f32 x (fma.f32 (.f32 (fma.f32 (fma.f32 #s(literal 2/7 binary32) (.f32 x x) #s(literal 2/5 binary32)) (.f32 x x) #s(literal 2/3 binary32)) x) x #s(literal 2 binary32)))))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (.f32 x (fma.f32 (.f32 (fma.f32 (fma.f32 #s(literal 2/7 binary32) (.f32 x x) #s(literal 2/5 binary32)) (.f32 x x) #s(literal 2/3 binary32)) x) x #s(literal 2 binary32))))
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(/.f32 (-.f32 (pow.f32 (log1p.f32 (.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal -4 binary32))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) #s(literal 3 binary32))) (fma.f32 (log1p.f32 (.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) (+.f32 (log1p.f32 (.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) (log1p.f32 (.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal -4 binary32)))) (pow.f32 (log1p.f32 (.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal -4 binary32))) #s(literal 2 binary32))))
(-.f32 (log.f32 (-.f32 (.f32 #s(literal 4 binary32) (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32))) #s(literal 1 binary32))) (log.f32 (-.f32 (.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 1 binary32))))
(-.f32 (log.f32 (-.f32 (.f32 #s(literal 4 binary32) (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32))) #s(literal 1 binary32))) (log.f32 (-.f32 (.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))) #s(literal 1 binary32))))
(-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))) #s(literal 3 binary32)))) (log1p.f32 (fma.f32 #s(literal 4 binary32) (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) (.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))))
(-.f32 (log.f32 (neg.f32 (fma.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal -4 binary32) #s(literal 1 binary32)))) (log.f32 (neg.f32 (fma.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)))))
(-.f32 (log.f32 (neg.f32 (fma.f32 #s(literal -8 binary32) (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 3 binary32)) #s(literal 1 binary32)))) (log.f32 (neg.f32 (fma.f32 (.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))) (-.f32 (.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(-.f32 (/.f32 (pow.f32 (log1p.f32 (.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal -4 binary32))) #s(literal 2 binary32)) (+.f32 (log1p.f32 (.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) (log1p.f32 (.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal -4 binary32))))) (/.f32 (pow.f32 (log1p.f32 (.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) #s(literal 2 binary32)) (+.f32 (log1p.f32 (.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) (log1p.f32 (.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal -4 binary32))))))
(-.f32 (/.f32 (pow.f32 (log1p.f32 (.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal -4 binary32))) #s(literal 3 binary32)) (fma.f32 (log1p.f32 (.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) (+.f32 (log1p.f32 (.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) (log1p.f32 (.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal -4 binary32)))) (pow.f32 (log1p.f32 (.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal -4 binary32))) #s(literal 2 binary32)))) (/.f32 (pow.f32 (log1p.f32 (.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) #s(literal 3 binary32)) (fma.f32 (log1p.f32 (.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) (+.f32 (log1p.f32 (.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) (log1p.f32 (.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal -4 binary32)))) (pow.f32 (log1p.f32 (.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal -4 binary32))) #s(literal 2 binary32)))))
(-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))) #s(literal 4 binary32)))) (log.f32 (.f32 (-.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal -4 binary32))) (fma.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)))))
(-.f32 (log1p.f32 (.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 6 binary32)) #s(literal -64 binary32))) (log.f32 (.f32 (-.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))) #s(literal 4 binary32))) (.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal -4 binary32))) (fma.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)))))
(-.f32 (log1p.f32 (pow.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))) #s(literal 3 binary32))) (log.f32 (fma.f32 #s(literal 4 binary32) (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) (fma.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)))))
(-.f32 (log1p.f32 (pow.f32 (.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))) #s(literal 3 binary32))) (log1p.f32 (.f32 (.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))) (-.f32 (.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))) #s(literal 1 binary32)))))
(-.f32 (log1p.f32 (.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal -4 binary32))) (log1p.f32 (.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))))
(+.f32 (log.f32 (/.f32 (fma.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal -4 binary32) #s(literal 1 binary32)) (fma.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal -4 binary32) #s(literal 1 binary32)))) (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))))
(+.f32 (log.f32 (/.f32 (fma.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal -4 binary32) #s(literal 1 binary32)) (fma.f32 #s(literal -8 binary32) (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 3 binary32)) #s(literal 1 binary32)))) (log1p.f32 (.f32 (.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))) (-.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))) #s(literal 1 binary32)))))
(+.f32 (/.f32 (pow.f32 (log1p.f32 (.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal -4 binary32))) #s(literal 2 binary32)) (+.f32 (log1p.f32 (.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) (log1p.f32 (.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal -4 binary32))))) (/.f32 (.f32 (neg.f32 (log1p.f32 (.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))) (log1p.f32 (.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))) (+.f32 (log1p.f32 (.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) (log1p.f32 (.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal -4 binary32))))))
(log1p.f32 (*.f32 (neg.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x))) #s(literal -2 binary32)))
(log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))
(log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)))
(*.f32 (neg.f32 (sqrt.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)))) (neg.f32 (sqrt.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)))))
(.f32 (fabs.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (.f32 x x)))) (fabs.f32 (+.f32 #s(literal 1 binary32) x)))
(*.f32 (fabs.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (fabs.f32 (+.f32 (fma.f32 x x x) #s(literal 1 binary32))))
(*.f32 (fabs.f32 (sqrt.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)))) (fabs.f32 (sqrt.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)))))
(.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (.f32 x x))) #s(literal 1 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)))
(*.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal 1 binary32)) (pow.f32 (+.f32 (fma.f32 x x x) #s(literal 1 binary32)) #s(literal 1 binary32)))
(*.f32 (pow.f32 (sqrt.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x))) #s(literal 1 binary32)) (pow.f32 (sqrt.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x))) #s(literal 1 binary32)))
(.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (.f32 x x))) (+.f32 #s(literal 1 binary32) x))
(*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (+.f32 (fma.f32 x x x) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x))) (sqrt.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x))))
(sqrt.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)))
(/.f32 (.f32 x (+.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (.f32 (-.f32 #s(literal 1 binary32) (.f32 x x)) (+.f32 #s(literal 1 binary32) (-.f32 (.f32 x x) x))))
(/.f32 (.f32 x (-.f32 #s(literal 1 binary32) (.f32 x x))) (.f32 (-.f32 #s(literal 1 binary32) (.f32 x x)) (-.f32 #s(literal 1 binary32) x)))
(/.f32 (.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 x x x) #s(literal 2 binary32)))) (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) (-.f32 #s(literal 1 binary32) (fma.f32 x x x))))
(/.f32 (.f32 x (+.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 x x x) #s(literal 3 binary32)))) (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (fma.f32 x x x) #s(literal 2 binary32)) (*.f32 #s(literal 1 binary32) (fma.f32 x x x))))))
(/.f32 (neg.f32 (neg.f32 (neg.f32 x))) (neg.f32 (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) x)))))
(/.f32 (exp.f32 (log.f32 (neg.f32 x))) (exp.f32 (log.f32 (neg.f32 (-.f32 #s(literal 1 binary32) x)))))
(/.f32 (exp.f32 (log.f32 x)) (exp.f32 (log.f32 (-.f32 #s(literal 1 binary32) x))))
(/.f32 (neg.f32 (neg.f32 x)) (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) x))))
(/.f32 (neg.f32 x) (neg.f32 (-.f32 #s(literal 1 binary32) x)))
(/.f32 x (fabs.f32 (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) x)))))
(/.f32 x (fabs.f32 (neg.f32 (-.f32 #s(literal 1 binary32) x))))
(/.f32 x (fabs.f32 (-.f32 #s(literal 1 binary32) x)))
(/.f32 x (-.f32 #s(literal 1 binary32) x))
(pow.f32 (sqrt.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x))) #s(literal 2 binary32))
(pow.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 1/2 binary32))
(pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32))
(fabs.f32 (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) x)))
(fabs.f32 (/.f32 x (neg.f32 (-.f32 #s(literal 1 binary32) x))))
(fabs.f32 (neg.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x))))
(fabs.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)))
(+.f32 (cosh.f32 (log.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)))) (sinh.f32 (log.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)))))
(exp.f32 (log.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x))))
(neg.f32 (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) x)))
(neg.f32 (/.f32 x (neg.f32 (-.f32 #s(literal 1 binary32) x))))

eval58.0ms (1.1%)

Memory: 0.3MiB live, 87.9MiB allocated; 13ms collecting garbage
Compiler: Compiled 15 374 to 2 102 computations (86.3% saved)

prune27.0ms (0.5%)

Memory

-7.6MiB live, 37.7MiB allocated; 4ms collecting garbage

Pruning

9 alts after pruning (1 fresh and 8 done)

	Pruned	Kept	Total
New	369	1	370
Fresh	0	0	0
Picked	1	1	2
Done	0	7	7
Total	370	9	379

Accuracy

100.0%

Counts

379 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.7%	(.f32 #s(literal 1/2 binary32) (-.f32 (log1p.f32 (.f32 #s(literal -4 binary32) (/.f32 (.f32 (neg.f32 x) x) (.f32 (neg.f32 (-.f32 #s(literal 1 binary32) x)) (-.f32 #s(literal 1 binary32) x))))) (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))))
✓	99.8%	(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (+.f32 x x) (-.f32 #s(literal 1 binary32) x))))
✓	99.8%	(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (fma.f32 x #s(literal 2 binary32) (.f32 (.f32 (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (*.f32 x x) #s(literal 2/3 binary32)) x) x) x))))
✓	99.6%	(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (fma.f32 x #s(literal 2 binary32) (.f32 (.f32 (.f32 (fma.f32 (.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) x) x) x))))
✓	97.4%	(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (+.f32 x x)))
✓	99.8%	(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2/7 binary32) (.f32 x x) #s(literal 2/5 binary32)) (.f32 x x) #s(literal 2/3 binary32)) (.f32 x x) #s(literal 2 binary32)) x)))
✓	99.5%	(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f32 (fma.f32 (fma.f32 #s(literal 2/5 binary32) (.f32 x x) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x)))
✓	98.9%	(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f32 (fma.f32 #s(approx (+ ( 2/5 (* x x)) 2/3) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x)))
✓	99.0%	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (.f32 (.f32 x x) x) #s(literal 1/3 binary32) x))

Compiler

Compiled 563 to 260 computations (53.8% saved)

regimes23.0ms (0.4%)

Memory

-7.0MiB live, 47.0MiB allocated; 8ms collecting garbage

Counts

16 → 1

Calls

Call 1

Inputs
(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (+.f32 x x)))
(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (.f32 (.f32 x x) x) #s(literal 1/3 binary32) x))
(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f32 (fma.f32 #s(literal 2/3 binary32) (.f32 x x) #s(literal 2 binary32)) x)))
(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f32 (fma.f32 #s(approx (+ ( 2/5 (* x x)) 2/3) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x)))
(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f32 (fma.f32 (fma.f32 #s(literal 2/5 binary32) (.f32 x x) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x)))
(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (fma.f32 x #s(literal 2 binary32) (.f32 (.f32 (.f32 (fma.f32 (.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) x) x) x))))
(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2/7 binary32) (.f32 x x) #s(literal 2/5 binary32)) (.f32 x x) #s(literal 2/3 binary32)) (.f32 x x) #s(literal 2 binary32)) x)))
(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (fma.f32 x #s(literal 2 binary32) (.f32 (.f32 (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (*.f32 x x) #s(literal 2/3 binary32)) x) x) x))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/3 binary32) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) x))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (+.f32 x x) (-.f32 #s(literal 1 binary32) x))))
(.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)) x)))
(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
(.f32 #s(literal 1/2 binary32) (-.f32 (log1p.f32 (.f32 #s(literal -4 binary32) (/.f32 (.f32 (neg.f32 x) x) (.f32 (neg.f32 (-.f32 #s(literal 1 binary32) x)) (-.f32 #s(literal 1 binary32) x))))) (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))))
(.f32 #s(literal 1/2 binary32) (-.f32 (log1p.f32 (.f32 #s(literal -4 binary32) (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)))) (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))))

Outputs

(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f32 x #s(literal 2 binary32) (*.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (*.f32 x x) #s(literal 2/3 binary32)) x) x) x))))

Calls

4 calls:

9.0ms	(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
4.0ms	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
4.0ms	(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
4.0ms	x

Results

Accuracy	Segments	Branch
99.8%	1	`(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))`
99.8%	1	`(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))`
99.8%	1	`(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))`
99.8%	1	`x`

Compiler

Compiled 26 to 23 computations (11.5% saved)

regimes11.0ms (0.2%)

Memory

31.9MiB live, 31.9MiB allocated; 0ms collecting garbage

Counts

8 → 1

Calls

Call 1

Inputs
(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (+.f32 x x)))
(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (.f32 (.f32 x x) x) #s(literal 1/3 binary32) x))
(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f32 (fma.f32 #s(literal 2/3 binary32) (.f32 x x) #s(literal 2 binary32)) x)))
(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f32 (fma.f32 #s(approx (+ ( 2/5 (* x x)) 2/3) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x)))
(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f32 (fma.f32 (fma.f32 #s(literal 2/5 binary32) (.f32 x x) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x)))
(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (fma.f32 x #s(literal 2 binary32) (.f32 (.f32 (.f32 (fma.f32 (.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) x) x) x))))
(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2/7 binary32) (.f32 x x) #s(literal 2/5 binary32)) (.f32 x x) #s(literal 2/3 binary32)) (.f32 x x) #s(literal 2 binary32)) x)))

Outputs

(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2/7 binary32) (*.f32 x x) #s(literal 2/5 binary32)) (*.f32 x x) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x)))

Calls

4 calls:

3.0ms	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
3.0ms	(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
3.0ms	(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
3.0ms	x

Results

Accuracy	Segments	Branch
99.8%	1	`(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))`
99.8%	1	`(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))`
99.8%	1	`(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))`
99.8%	1	`x`

Compiler

Compiled 26 to 23 computations (11.5% saved)

regimes12.0ms (0.2%)

Memory

-12.4MiB live, 34.0MiB allocated; 3ms collecting garbage

Counts

7 → 1

Calls

Call 1

Inputs
(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (+.f32 x x)))
(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (.f32 (.f32 x x) x) #s(literal 1/3 binary32) x))
(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f32 (fma.f32 #s(literal 2/3 binary32) (.f32 x x) #s(literal 2 binary32)) x)))
(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f32 (fma.f32 #s(approx (+ ( 2/5 (* x x)) 2/3) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x)))
(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f32 (fma.f32 (fma.f32 #s(literal 2/5 binary32) (.f32 x x) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x)))
(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (fma.f32 x #s(literal 2 binary32) (.f32 (.f32 (.f32 (fma.f32 (.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) x) x) x))))

Outputs

(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f32 x #s(literal 2 binary32) (*.f32 (*.f32 (*.f32 (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) x) x) x))))

Calls

4 calls:

4.0ms	x
3.0ms	(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
2.0ms	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
2.0ms	(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))

Results

Accuracy	Segments	Branch
99.6%	1	`(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))`
99.6%	1	`(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))`
99.6%	1	`(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))`
99.6%	1	`x`

Compiler

Compiled 26 to 23 computations (11.5% saved)

regimes12.0ms (0.2%)

Memory

-17.5MiB live, 27.3MiB allocated; 3ms collecting garbage

Counts

6 → 1

Calls

Call 1

Inputs
(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (+.f32 x x)))
(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (.f32 (.f32 x x) x) #s(literal 1/3 binary32) x))
(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f32 (fma.f32 #s(literal 2/3 binary32) (.f32 x x) #s(literal 2 binary32)) x)))
(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f32 (fma.f32 #s(approx (+ ( 2/5 (* x x)) 2/3) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x)))
(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f32 (fma.f32 (fma.f32 #s(literal 2/5 binary32) (.f32 x x) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x)))

Outputs

(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 (fma.f32 (fma.f32 #s(literal 2/5 binary32) (*.f32 x x) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x)))

Calls

4 calls:

4.0ms	(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
2.0ms	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
2.0ms	(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
2.0ms	x

Results

Accuracy	Segments	Branch
99.5%	1	`(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))`
99.5%	1	`(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))`
99.5%	1	`(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))`
99.5%	1	`x`

Compiler

Compiled 26 to 23 computations (11.5% saved)

regimes8.0ms (0.2%)

Memory

28.3MiB live, 28.3MiB allocated; 0ms collecting garbage

Counts

5 → 1

Calls

Call 1

Inputs
(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (+.f32 x x)))
(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (.f32 (.f32 x x) x) #s(literal 1/3 binary32) x))
(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f32 (fma.f32 #s(literal 2/3 binary32) (.f32 x x) #s(literal 2 binary32)) x)))
(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f32 (fma.f32 #s(approx (+ ( 2/5 (* x x)) 2/3) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x)))

Outputs
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (.f32 (.f32 x x) x) #s(literal 1/3 binary32) x))

Calls

4 calls:

2.0ms	(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
2.0ms	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
2.0ms	(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
2.0ms	x

Results

Accuracy	Segments	Branch
99.0%	1	`(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))`
99.0%	1	`(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))`
99.0%	1	`(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))`
99.0%	1	`x`

Compiler

Compiled 26 to 23 computations (11.5% saved)

regimes7.0ms (0.1%)

Memory

-28.6MiB live, 17.9MiB allocated; 2ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

4 calls:

3.0ms	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
1.0ms	(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
1.0ms	(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
1.0ms	x

Results

Accuracy	Segments	Branch
97.4%	1	`(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))`
97.4%	1	`(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))`
97.4%	1	`(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))`
97.4%	1	`x`

Compiler

Compiled 26 to 23 computations (11.5% saved)

simplify14.0ms (0.3%)

Memory

34.4MiB live, 34.4MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	155
1	56	155
2	63	155
3	81	155
4	111	155
5	149	155
6	166	155

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (fma.f32 x #s(literal 2 binary32) (.f32 (.f32 (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (*.f32 x x) #s(literal 2/3 binary32)) x) x) x))))
(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2/7 binary32) (.f32 x x) #s(literal 2/5 binary32)) (.f32 x x) #s(literal 2/3 binary32)) (.f32 x x) #s(literal 2 binary32)) x)))
(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (fma.f32 x #s(literal 2 binary32) (.f32 (.f32 (.f32 (fma.f32 (.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) x) x) x))))
(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f32 (fma.f32 (fma.f32 #s(literal 2/5 binary32) (.f32 x x) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x)))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (.f32 (.f32 x x) x) #s(literal 1/3 binary32) x))
(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (+.f32 x x)))

Outputs
(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (fma.f32 x #s(literal 2 binary32) (.f32 (.f32 (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (*.f32 x x) #s(literal 2/3 binary32)) x) x) x))))
(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2/7 binary32) (.f32 x x) #s(literal 2/5 binary32)) (.f32 x x) #s(literal 2/3 binary32)) (.f32 x x) #s(literal 2 binary32)) x)))
(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (fma.f32 x #s(literal 2 binary32) (.f32 (.f32 (.f32 (fma.f32 (.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) x) x) x))))
(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f32 (fma.f32 (fma.f32 #s(literal 2/5 binary32) (.f32 x x) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x)))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (.f32 (.f32 x x) x) #s(literal 1/3 binary32) x))
(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (+.f32 x x)))

derivations710.0ms (13.3%)

Memory

-42.5MiB live, 588.4MiB allocated; 97ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	199
0	57	189
1	207	189
2	1137	189
0	8665	189
0	106	302
1	386	291
2	1315	282
3	5633	282
0	8077	262
0	42	375
0	68	364
1	257	355
2	1833	355
0	8539	338

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

Compiler

Compiled 155 to 49 computations (68.4% saved)

preprocess40.0ms (0.7%)

Memory: 19.1MiB live, 64.8MiB allocated; 4ms collecting garbage
Compiler: Compiled 330 to 116 computations (64.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze1.0ms (0%)

sample541.0ms (10.2%)

explain139.0ms (2.6%)

preprocess14.0ms (0.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify5.0ms (0.1%)

localize61.0ms (1.1%)

series4.0ms (0.1%)

simplify195.0ms (3.7%)

rewrite192.0ms (3.6%)

eval62.0ms (1.2%)

prune9.0ms (0.2%)

simplify192.0ms (3.6%)

localize214.0ms (4%)

series8.0ms (0.2%)

simplify227.0ms (4.3%)

rewrite279.0ms (5.2%)

eval230.0ms (4.3%)

prune36.0ms (0.7%)

simplify118.0ms (2.2%)

localize168.0ms (3.1%)

series12.0ms (0.2%)

simplify277.0ms (5.2%)

rewrite268.0ms (5%)

eval171.0ms (3.2%)

prune67.0ms (1.3%)

simplify249.0ms (4.7%)

localize94.0ms (1.8%)

series10.0ms (0.2%)

simplify208.0ms (3.9%)

rewrite356.0ms (6.7%)

eval58.0ms (1.1%)

prune27.0ms (0.5%)

regimes23.0ms (0.4%)

regimes11.0ms (0.2%)

regimes12.0ms (0.2%)

regimes12.0ms (0.2%)

regimes8.0ms (0.2%)

regimes7.0ms (0.1%)

simplify14.0ms (0.3%)

derivations710.0ms (13.3%)

preprocess40.0ms (0.7%)

end0.0ms (0%)

Profiling