Metrics for Rust f32::atanh

start0.0ms (0%)

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

analyze1.0ms (0%)

Memory

2.5MiB live, 2.5MiB 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)

sample1.1s (24.3%)

Memory

-74.1MiB live, 513.7MiB allocated; 1.2s collecting garbage

Samples

939.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 83.0ms

ival-atanh: 73.0ms (87.8% of total)

ival-true: 5.0ms (6% of total)

ival-assert: 3.0ms (3.6% of total)

adjust: 2.0ms (2.4% of total)

Bogosity

explain90.0ms (2%)

Memory

25.4MiB live, 166.9MiB allocated; 26ms 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

36.0ms

512×

valid

Compiler

Compiled 92 to 31 computations (66.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-div: 9.0ms (38.3% of total)

ival-mult: 7.0ms (29.8% of total)

ival-log1p: 4.0ms (17% of total)

ival-sub: 3.0ms (12.8% of total)

exact: 1.0ms (4.3% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess217.0ms (4.8%)

Memory

-26.3MiB live, 212.5MiB allocated; 35ms 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	40	10
3	108	10
4	444	10
5	2290	10
6	5655	10
0	8065	10

Stop Event

1×	iter limit
1×	node limit
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: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(.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)

simplify241.0ms (5.3%)

Memory

15.9MiB live, 204.3MiB allocated; 19ms 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	40	35
3	108	35
4	444	35
5	2290	35
6	5655	35
0	8065	35

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) 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)

localize81.0ms (1.8%)

Memory

-2.7MiB live, 52.2MiB allocated; 7ms 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	0.0234375	(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
accuracy	0.0390625	(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))

Samples

75.0ms

256×

valid

Compiler

Compiled 41 to 11 computations (73.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 57.0ms

ival-mult: 52.0ms (90.7% of total)

ival-div: 2.0ms (3.5% of total)

ival-log1p: 2.0ms (3.5% of total)

ival-sub: 1.0ms (1.7% 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

7.2MiB live, 7.2MiB 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))

simplify196.0ms (4.3%)

Memory

-6.2MiB live, 186.5MiB allocated; 37ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	106	302
1	386	291
2	1450	282
3	7495	282
0	8200	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 #s(literal -2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x))
(- (* -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 #s(literal -1/3 binary32) (/.f32 #s(literal 1/5 binary32) (.f32 x x))) (pow.f32 x #s(literal 3 binary32))) (/.f32 #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))

rewrite107.0ms (2.4%)

Memory

-5.0MiB live, 133.7MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	28
0	15	28
1	53	28
0	365	28

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

4 → 29

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

eval11.0ms (0.2%)

Memory: -17.4MiB live, 34.3MiB allocated; 6ms collecting garbage
Compiler: Compiled 950 to 246 computations (74.1% saved)

prune5.0ms (0.1%)

Memory

21.4MiB live, 21.4MiB allocated; 0ms collecting garbage

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	45	8	53
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	46	8	54

Accuracy

100.0%

Counts

54 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (+.f32 x x) (-.f32 #s(literal 1 binary32) x))))
	99.6%	(.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)))
▶	99.4%	(.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)))
	99.1%	(.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)))
▶	97.6%	(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)))
▶	99.7%	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (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))
	99.5%	#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))
▶	99.2%	#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 352 to 256 computations (27.3% saved)

simplify201.0ms (4.4%)

Memory

-16.6MiB live, 213.8MiB allocated; 34ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	262
0	60	250
1	107	250
2	310	250
3	1555	250
4	6560	250
0	8066	250

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

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

localize180.0ms (4%)

Memory

21.6MiB live, 204.2MiB allocated; 68ms collecting garbage

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f32 x x)
accuracy	0.0078125	(fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32))
accuracy	0.0390625	(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))
accuracy	0.09439430191109	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (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))
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	0.26524772326667967	#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	0.0	(.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)))
accuracy	0.03515625	(.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	0.04296875	(fma.f32 #s(literal 2/5 binary32) (*.f32 x x) #s(literal 2/3 binary32))
accuracy	0.15913290905889882	#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	0.7739922425036881	#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x))
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	0.0234375	(log1p.f32 (/.f32 (+.f32 x x) (-.f32 #s(literal 1 binary32) x)))
accuracy	0.0390625	(/.f32 (+.f32 x x) (-.f32 #s(literal 1 binary32) x))

Samples

154.0ms

256×

valid

Compiler

Compiled 220 to 36 computations (83.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 92.0ms

ival-mult: 54.0ms (58.7% of total)

const: 15.0ms (16.3% of total)

ival-add: 9.0ms (9.8% of total)

ival-pow: 5.0ms (5.4% of total)

ival-div: 4.0ms (4.4% of total)

ival-log1p: 4.0ms (4.4% of total)

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

exact: 1.0ms (1.1% 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

19.7MiB live, 19.7MiB allocated; 0ms collecting garbage

Counts

20 → 60

Calls

Call 1

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

Calls

3 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	((* 1/2 (log (+ 1 (/ (+ x x) (- 1 x))))) (log (+ 1 (/ (+ x x) (- 1 x)))) (/ (+ x x) (- 1 x)) (+ x 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 (/ (* 2 x) (- 1 x))))) (+ (* (pow x 3) (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3)) x) (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (+ (* 2/5 (* x x)) 2/3) (+ (* 1/7 (* x x)) 1/5) (* x x))
3.0ms	x	@	-inf	((* 1/2 (log (+ 1 (/ (+ x x) (- 1 x))))) (log (+ 1 (/ (+ x x) (- 1 x)))) (/ (+ x x) (- 1 x)) (+ x 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 (/ (* 2 x) (- 1 x))))) (+ (* (pow x 3) (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3)) x) (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (+ (* 2/5 (* x x)) 2/3) (+ (* 1/7 (* x x)) 1/5) (* x x))
2.0ms	x	@	0	((* 1/2 (log (+ 1 (/ (+ x x) (- 1 x))))) (log (+ 1 (/ (+ x x) (- 1 x)))) (/ (+ x x) (- 1 x)) (+ x 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 (/ (* 2 x) (- 1 x))))) (+ (* (pow x 3) (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3)) x) (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (+ (* 2/5 (* x x)) 2/3) (+ (* 1/7 (* x x)) 1/5) (* x x))

Time

Variable

Point

Expression

4.0ms

inf

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

3.0ms

-inf

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

2.0ms

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

simplify235.0ms (5.2%)

Memory

-5.1MiB live, 244.6MiB allocated; 112ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	162	620
1	590	607
2	2131	596
0	8559	565

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 59

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

rewrite34.0ms (0.8%)

Memory

-8.0MiB live, 39.0MiB allocated; 1ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	234
0	60	222
0	240	222

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

20 → 78

Calls

Call 1

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

Outputs
(log.f32 (pow.f32 (fma.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)) #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 1/2 binary32) (log1p.f32 (.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))))
(log.f32 (fma.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 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)))
(/.f32 (neg.f32 (*.f32 #s(literal 2 binary32) x)) (neg.f32 (-.f32 #s(literal 1 binary32) x)))
(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
(+.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (/.f32 x (-.f32 #s(literal 1 binary32) x)))
(*.f32 #s(literal 2 binary32) x)
(*.f32 x #s(literal 2 binary32))
(/.f32 (-.f32 (.f32 x x) (.f32 x x)) (-.f32 x x))
(/.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))) (fma.f32 x x (-.f32 (.f32 x x) (.f32 x x))))
(+.f32 x x)
(.f32 #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (*.f32 #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 #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 x #s(literal 2 binary32))
(/.f32 (-.f32 (.f32 x x) (.f32 x x)) (-.f32 x x))
(/.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))) (fma.f32 x x (-.f32 (.f32 x x) (.f32 x x))))
(+.f32 x 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))
(.f32 #s(literal 1/2 binary32) #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(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 (.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x)
(.f32 x (fma.f32 (fma.f32 (.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)))
(/.f32 (-.f32 (.f32 (.f32 (.f32 (fma.f32 (.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) x) x) (.f32 (.f32 (fma.f32 (.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) x) x)) #s(literal 4 binary32)) (-.f32 (.f32 (.f32 (fma.f32 (.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) x) x) #s(literal 2 binary32)))
(/.f32 (+.f32 (pow.f32 (.f32 (.f32 (fma.f32 (.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) x) x) #s(literal 3 binary32)) #s(literal 8 binary32)) (fma.f32 (.f32 (.f32 (fma.f32 (.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) x) x) (.f32 (.f32 (fma.f32 (.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) x) x) (-.f32 #s(literal 4 binary32) (.f32 (.f32 (.f32 (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) x) x) #s(literal 2 binary32)))))
(fma.f32 (.f32 (fma.f32 (.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) 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 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) #s(literal 2 binary32))
(+.f32 (.f32 (.f32 (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) x) x) #s(literal 2 binary32))
(+.f32 #s(literal 2 binary32) (.f32 (.f32 (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) x) 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))
(/.f32 (-.f32 (.f32 (.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32))) (.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32)))) (.f32 x x)) (-.f32 (*.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32))) x))
(/.f32 (+.f32 (pow.f32 (.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32))) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))) (fma.f32 (.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32))) (.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32))) (-.f32 (.f32 x x) (.f32 (.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32))) 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)
(+.f32 (*.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32))) x)
(+.f32 x (*.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32))))
(*.f32 (pow.f32 x #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3/2 binary32)))
(.f32 (.f32 x x) x)
(.f32 x (.f32 x x))
(pow.f32 x #s(literal 3 binary32))
(exp.f32 (*.f32 (log.f32 x) #s(literal 3 binary32)))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (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))
(/.f32 (-.f32 (.f32 (.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))) (.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)))) (.f32 x x)) (-.f32 (.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))
(/.f32 (+.f32 (pow.f32 (.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))) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))) (fma.f32 (.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))) (.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))) (-.f32 (.f32 x x) (.f32 (.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))))
(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)
(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)
(+.f32 (.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)
(+.f32 x (.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))))
(/.f32 (-.f32 (.f32 (.f32 (.f32 (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32)) x) x) (.f32 (.f32 (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32)) x) x)) #s(literal 1/9 binary32)) (-.f32 (.f32 (.f32 (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32)) x) x) #s(literal 1/3 binary32)))
(/.f32 (+.f32 (pow.f32 (.f32 (.f32 (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32)) x) x) #s(literal 3 binary32)) #s(literal 1/27 binary32)) (fma.f32 (.f32 (.f32 (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32)) x) x) (.f32 (.f32 (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32)) x) x) (-.f32 #s(literal 1/9 binary32) (.f32 (.f32 (.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) x) x) #s(literal 1/3 binary32)))))
(fma.f32 (.f32 (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32)) x) x #s(literal 1/3 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))
(fma.f32 (.f32 x x) (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))
(+.f32 (.f32 (.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) x) x) #s(literal 1/3 binary32))
(+.f32 #s(literal 1/3 binary32) (.f32 (.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) x) x))
(/.f32 (-.f32 (.f32 (.f32 (.f32 x x) #s(literal 2/5 binary32)) (.f32 (.f32 x x) #s(literal 2/5 binary32))) #s(literal 4/9 binary32)) (-.f32 (.f32 (*.f32 x x) #s(literal 2/5 binary32)) #s(literal 2/3 binary32)))
(/.f32 (+.f32 (pow.f32 (.f32 (.f32 x x) #s(literal 2/5 binary32)) #s(literal 3 binary32)) #s(literal 8/27 binary32)) (fma.f32 (.f32 (.f32 x x) #s(literal 2/5 binary32)) (.f32 (.f32 x x) #s(literal 2/5 binary32)) (-.f32 #s(literal 4/9 binary32) (.f32 (.f32 (*.f32 x x) #s(literal 2/5 binary32)) #s(literal 2/3 binary32)))))
(fma.f32 (*.f32 #s(literal 2/5 binary32) x) x #s(literal 2/3 binary32))
(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 (.f32 (.f32 x x) #s(literal 2/5 binary32)) #s(literal 2/3 binary32))
(+.f32 #s(literal 2/3 binary32) (.f32 (.f32 x x) #s(literal 2/5 binary32)))
(/.f32 (-.f32 (.f32 (.f32 #s(literal 1/7 binary32) (.f32 x x)) (.f32 #s(literal 1/7 binary32) (.f32 x x))) #s(literal 1/25 binary32)) (-.f32 (.f32 #s(literal 1/7 binary32) (*.f32 x x)) #s(literal 1/5 binary32)))
(/.f32 (+.f32 (pow.f32 (.f32 #s(literal 1/7 binary32) (.f32 x x)) #s(literal 3 binary32)) #s(literal 1/125 binary32)) (fma.f32 (.f32 #s(literal 1/7 binary32) (.f32 x x)) (.f32 #s(literal 1/7 binary32) (.f32 x x)) (-.f32 #s(literal 1/25 binary32) (.f32 (.f32 #s(literal 1/7 binary32) (*.f32 x x)) #s(literal 1/5 binary32)))))
(fma.f32 (*.f32 #s(literal 1/7 binary32) x) x #s(literal 1/5 binary32))
(fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32))
(fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))
(+.f32 (.f32 #s(literal 1/7 binary32) (.f32 x x)) #s(literal 1/5 binary32))
(+.f32 #s(literal 1/5 binary32) (.f32 #s(literal 1/7 binary32) (.f32 x x)))
(*.f32 (neg.f32 x) (neg.f32 x))
(*.f32 (fabs.f32 x) (fabs.f32 x))
(*.f32 x x)
(pow.f32 x #s(literal 2 binary32))

eval21.0ms (0.5%)

Memory: -24.7MiB live, 32.5MiB allocated; 6ms collecting garbage
Compiler: Compiled 4 395 to 637 computations (85.5% saved)

prune5.0ms (0.1%)

Memory

17.8MiB live, 17.8MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	145	4	149
Fresh	3	0	3
Picked	2	3	5
Done	0	0	0
Total	150	7	157

Accuracy

100.0%

Counts

157 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (+.f32 x x) (-.f32 #s(literal 1 binary32) x))))
▶	99.6%	(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (+ x 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)))
▶	99.1%	(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (+ x x) (- 1 x)))) (.f32 (fma.f32 #s(literal 2/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x)))
✓	99.4%	(.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)))
✓	97.6%	(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)))
▶	99.7%	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (.f32 (.f32 x x) x) (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))
▶	99.2%	#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 156 to 107 computations (31.4% saved)

simplify164.0ms (3.6%)

Memory

10.5MiB live, 138.8MiB allocated; 27ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	298
0	60	298
1	118	286
2	400	286
3	2019	286
4	7450	286
0	8070	274

Stop Event

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

Calls

Call 1

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

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

localize198.0ms (4.4%)

Memory

18.9MiB live, 158.7MiB allocated; 50ms collecting garbage

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(fma.f32 #s(literal 2/7 binary32) (*.f32 x x) #s(literal 2/5 binary32))
accuracy	0.0390625	(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	0.04296875	(.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	0.09439430191109	#s(approx (log (+ 1 (/ (+ x 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))
accuracy	0.0	(*.f32 x x)
accuracy	0.0	(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (+ x x) (- 1 x)))) (.f32 (fma.f32 #s(literal 2/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x)))
accuracy	0.0390625	(.f32 (fma.f32 #s(literal 2/3 binary32) (.f32 x x) #s(literal 2 binary32)) x)
accuracy	0.26524772326667967	#s(approx (log (+ 1 (/ (+ x x) (- 1 x)))) (.f32 (fma.f32 #s(literal 2/3 binary32) (.f32 x x) #s(literal 2 binary32)) x))
accuracy	0.0078125	(fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32))
accuracy	0.0390625	(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))
accuracy	0.07421875	(.f32 (.f32 x x) x)
accuracy	0.09439430191109	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (.f32 (.f32 x x) x) (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))
accuracy	0.0	(fma.f32 (.f32 (.f32 x x) x) #s(literal 1/3 binary32) x)
accuracy	0.0	(*.f32 x x)
accuracy	0.07421875	(.f32 (.f32 x x) x)
accuracy	0.26524772326667967	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (.f32 (.f32 x x) x) #s(literal 1/3 binary32) x))

Samples

176.0ms

256×

valid

Compiler

Compiled 234 to 41 computations (82.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 120.0ms

ival-mult: 60.0ms (50.2% of total)

const: 33.0ms (27.6% of total)

ival-add: 10.0ms (8.4% of total)

ival-log1p: 10.0ms (8.4% of total)

ival-div: 4.0ms (3.3% of total)

ival-sub: 2.0ms (1.7% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series13.0ms (0.3%)

Memory

-23.2MiB live, 22.0MiB allocated; 10ms collecting garbage

Counts

18 → 66

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

7.0ms

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

3.0ms

inf

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

3.0ms

-inf

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

simplify195.0ms (4.3%)

Memory

-33.3MiB live, 273.4MiB allocated; 43ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	159	710
1	589	701
2	2034	694
0	8064	660

Stop Event

1×	iter limit
1×	node limit

Counts

66 → 65

Calls

Call 1

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

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

rewrite33.0ms (0.7%)

Memory

26.1MiB live, 26.1MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	268
0	60	258
0	268	246

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

18 → 75

Calls

Call 1

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

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

eval24.0ms (0.5%)

Memory: -5.6MiB live, 37.4MiB allocated; 8ms collecting garbage
Compiler: Compiled 5 939 to 770 computations (87% saved)

prune6.0ms (0.1%)

Memory

21.3MiB live, 21.3MiB allocated; 0ms collecting garbage

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	171	1	172
Fresh	0	0	0
Picked	0	4	4
Done	0	3	3
Total	171	8	179

Accuracy

100.0%

Counts

179 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (+.f32 x x) (-.f32 #s(literal 1 binary32) x))))
✓	99.6%	(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (+ x 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)))
✓	99.1%	(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (+ x x) (- 1 x)))) (.f32 (fma.f32 #s(literal 2/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x)))
✓	99.4%	(.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)))
✓	97.6%	(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)))
✓	99.7%	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (.f32 (.f32 x x) x) (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))
▶	99.5%	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (.f32 (.f32 x x) x) (fma.f32 #s(approx (+ (* 1/7 (* x x)) 1/5) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x))
✓	99.2%	#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 190 to 130 computations (31.6% saved)

simplify150.0ms (3.3%)

Memory

10.6MiB live, 147.3MiB allocated; 39ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	89
0	28	89
1	60	83
2	208	83
3	977	83
4	3257	83
5	7034	83
0	8249	77

Stop Event

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

Calls

Call 1

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

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

localize85.0ms (1.9%)

Memory

-21.1MiB live, 66.6MiB allocated; 16ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0390625	(fma.f32 #s(approx (+ (* 1/7 (* x x)) 1/5) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32))
accuracy	0.07421875	(.f32 (.f32 x x) x)
accuracy	0.09439430191109	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (.f32 (.f32 x x) x) (fma.f32 #s(approx (+ (* 1/7 (* x x)) 1/5) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x))
accuracy	0.8729484286306711	#s(approx (+ (* 1/7 (* x x)) 1/5) #s(literal 1/5 binary32))

Samples

72.0ms

256×

valid

Compiler

Compiled 66 to 22 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-mult: 11.0ms (38.5% of total)

const: 8.0ms (28% of total)

ival-add: 3.0ms (10.5% of total)

ival-div: 2.0ms (7% of total)

ival-log1p: 2.0ms (7% of total)

ival-sub: 1.0ms (3.5% 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)

series4.0ms (0.1%)

Memory

6.0MiB live, 6.0MiB allocated; 0ms collecting garbage

Counts

6 → 27

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

inf

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

1.0ms

-inf

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

1.0ms

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

simplify178.0ms (3.9%)

Memory

12.2MiB live, 197.1MiB allocated; 58ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	84	294
1	273	288
2	887	284
3	3841	280
0	8262	264

Stop Event

1×	iter limit
1×	node limit

Counts

27 → 26

Calls

Call 1

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

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

rewrite101.0ms (2.2%)

Memory

-11.9MiB live, 95.7MiB allocated; 16ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	86
0	28	80
1	127	79
0	1033	74

Stop Event

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

Counts

6 → 83

Calls

Call 1

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

Outputs
(.f32 (.f32 x (fabs.f32 x)) (fabs.f32 x))
(.f32 (.f32 x (neg.f32 x)) (neg.f32 x))
(*.f32 (pow.f32 x #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3/2 binary32)))
(.f32 (neg.f32 x) (.f32 (neg.f32 x) x))
(.f32 (fabs.f32 x) (.f32 (fabs.f32 x) x))
(.f32 (.f32 x x) x)
(.f32 x (.f32 x x))
(pow.f32 x #s(literal 3 binary32))
(exp.f32 (*.f32 (log.f32 x) #s(literal 3 binary32)))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 #s(approx (+ (* 1/7 (* x x)) 1/5) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (pow.f32 x #s(literal 3 binary32)) x))
(/.f32 (-.f32 (.f32 x x) (pow.f32 (.f32 (fma.f32 #s(approx (+ (* 1/7 (* x x)) 1/5) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (pow.f32 x #s(literal 3 binary32))) #s(literal 2 binary32))) (-.f32 x (.f32 (fma.f32 #s(approx (+ (* 1/7 (* x x)) 1/5) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (pow.f32 x #s(literal 3 binary32)))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (.f32 (fma.f32 #s(approx (+ ( 1/7 (* x x)) 1/5) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (pow.f32 x #s(literal 3 binary32))) #s(literal 2 binary32)) (.f32 x x))) (neg.f32 (-.f32 (.f32 (fma.f32 #s(approx (+ ( 1/7 (* x x)) 1/5) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (pow.f32 x #s(literal 3 binary32))) x)))
(/.f32 (neg.f32 (+.f32 (pow.f32 (.f32 (fma.f32 #s(approx (+ ( 1/7 (* x x)) 1/5) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (pow.f32 x #s(literal 3 binary32))) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (neg.f32 (fma.f32 x (-.f32 x (.f32 (fma.f32 #s(approx (+ (* 1/7 (* x x)) 1/5) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (pow.f32 (.f32 (fma.f32 #s(approx (+ (* 1/7 (* x x)) 1/5) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (pow.f32 x #s(literal 3 binary32))) #s(literal 2 binary32)))))
(/.f32 (-.f32 (pow.f32 (.f32 (fma.f32 #s(approx (+ ( 1/7 (* x x)) 1/5) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (pow.f32 x #s(literal 3 binary32))) #s(literal 2 binary32)) (.f32 x x)) (-.f32 (.f32 (fma.f32 #s(approx (+ ( 1/7 (* x x)) 1/5) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (pow.f32 x #s(literal 3 binary32))) x))
(/.f32 (+.f32 (pow.f32 (.f32 (fma.f32 #s(approx (+ ( 1/7 (* x x)) 1/5) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (pow.f32 x #s(literal 3 binary32))) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))) (fma.f32 x x (-.f32 (pow.f32 (.f32 (fma.f32 #s(approx (+ (* 1/7 (* x x)) 1/5) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (pow.f32 x #s(literal 3 binary32))) #s(literal 2 binary32)) (.f32 (fma.f32 #s(approx (+ (* 1/7 (* x x)) 1/5) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 (pow.f32 x #s(literal 3 binary32)) x)))))
(/.f32 (+.f32 (pow.f32 (.f32 (fma.f32 #s(approx (+ ( 1/7 (* x x)) 1/5) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (pow.f32 x #s(literal 3 binary32))) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))) (fma.f32 x (-.f32 x (.f32 (fma.f32 #s(approx (+ (* 1/7 (* x x)) 1/5) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (pow.f32 (.f32 (fma.f32 #s(approx (+ (* 1/7 (* x x)) 1/5) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (pow.f32 x #s(literal 3 binary32))) #s(literal 2 binary32))))
(-.f32 (/.f32 (pow.f32 (.f32 (fma.f32 #s(approx (+ ( 1/7 (* x x)) 1/5) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (pow.f32 x #s(literal 3 binary32))) #s(literal 2 binary32)) (-.f32 (.f32 (fma.f32 #s(approx (+ (* 1/7 (* x x)) 1/5) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (pow.f32 x #s(literal 3 binary32))) x)) (/.f32 (.f32 x x) (-.f32 (.f32 (fma.f32 #s(approx (+ ( 1/7 (* x x)) 1/5) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (pow.f32 x #s(literal 3 binary32))) x)))
(-.f32 x (.f32 (neg.f32 (fma.f32 #s(approx (+ ( 1/7 (* x x)) 1/5) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32))) (pow.f32 x #s(literal 3 binary32))))
(-.f32 x (.f32 (neg.f32 (pow.f32 x #s(literal 3 binary32))) (fma.f32 #s(approx (+ ( 1/7 (* x x)) 1/5) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32))))
(-.f32 x (.f32 (neg.f32 (.f32 x x)) (.f32 (fma.f32 #s(approx (+ ( 1/7 (* x x)) 1/5) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x)))
(fma.f32 (.f32 (pow.f32 x #s(literal 3 binary32)) (.f32 #s(approx (+ (* 1/7 (* x x)) 1/5) #s(literal 1/5 binary32)) x)) x (fma.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32)) x))
(fma.f32 (.f32 (pow.f32 x #s(literal 3 binary32)) #s(approx (+ ( 1/7 (* x x)) 1/5) #s(literal 1/5 binary32))) (*.f32 x x) (fma.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32)) x))
(fma.f32 (.f32 (pow.f32 x #s(literal 3 binary32)) (.f32 x x)) #s(approx (+ (* 1/7 (* x x)) 1/5) #s(literal 1/5 binary32)) (fma.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32)) x))
(fma.f32 (.f32 (.f32 (.f32 #s(approx (+ ( 1/7 (* x x)) 1/5) #s(literal 1/5 binary32)) x) x) (*.f32 x x)) x (fma.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32)) x))
(fma.f32 (.f32 (fma.f32 #s(approx (+ ( 1/7 (* x x)) 1/5) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x)) x x)
(fma.f32 (.f32 (.f32 (.f32 #s(approx (+ ( 1/7 (* x x)) 1/5) #s(literal 1/5 binary32)) x) x) x) (*.f32 x x) (fma.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32)) x))
(fma.f32 (.f32 (fma.f32 #s(approx (+ ( 1/7 (* x x)) 1/5) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) x) (.f32 x x) x)
(fma.f32 (.f32 #s(approx (+ ( 1/7 (* x x)) 1/5) #s(literal 1/5 binary32)) x) (*.f32 x (pow.f32 x #s(literal 3 binary32))) (fma.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32)) x))
(fma.f32 (neg.f32 x) (.f32 (neg.f32 x) (.f32 (fma.f32 #s(approx (+ (* 1/7 (* x x)) 1/5) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x)) x)
(fma.f32 (fabs.f32 x) (.f32 (fabs.f32 x) (.f32 (fma.f32 #s(approx (+ (* 1/7 (* x x)) 1/5) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x)) x)
(fma.f32 (.f32 (.f32 #s(approx (+ (* 1/7 (* x x)) 1/5) #s(literal 1/5 binary32)) x) x) (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32)) x))
(fma.f32 (fma.f32 #s(approx (+ (* 1/7 (* x x)) 1/5) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (pow.f32 x #s(literal 3 binary32)) x)
(fma.f32 #s(approx (+ (* 1/7 (* x x)) 1/5) #s(literal 1/5 binary32)) (.f32 (.f32 x x) (pow.f32 x #s(literal 3 binary32))) (fma.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32)) x))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (.f32 (.f32 #s(approx (+ (* 1/7 (* x x)) 1/5) #s(literal 1/5 binary32)) x) 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)) (fma.f32 #s(approx (+ (* 1/7 (* x x)) 1/5) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x)
(fma.f32 (.f32 x x) (.f32 #s(approx (+ (* 1/7 (* x x)) 1/5) #s(literal 1/5 binary32)) (pow.f32 x #s(literal 3 binary32))) (fma.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32)) x))
(fma.f32 (.f32 x x) (.f32 x (.f32 (.f32 #s(approx (+ (* 1/7 (* x x)) 1/5) #s(literal 1/5 binary32)) x) x)) (fma.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32)) x))
(fma.f32 (.f32 x x) (.f32 (fma.f32 #s(approx (+ (* 1/7 (* x x)) 1/5) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) x)
(fma.f32 x (.f32 (.f32 x x) (.f32 (.f32 #s(approx (+ (* 1/7 (* x x)) 1/5) #s(literal 1/5 binary32)) x) x)) (fma.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32)) x))
(fma.f32 x (.f32 (.f32 x x) (fma.f32 #s(approx (+ (* 1/7 (* x x)) 1/5) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32))) x)
(fma.f32 x (.f32 x (.f32 (fma.f32 #s(approx (+ (* 1/7 (* x x)) 1/5) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x)) x)
(+.f32 (+.f32 x (.f32 (.f32 #s(approx (+ (* 1/7 (* x x)) 1/5) #s(literal 1/5 binary32)) x) (.f32 x (pow.f32 x #s(literal 3 binary32))))) (.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32))))
(+.f32 (/.f32 (pow.f32 (.f32 (fma.f32 #s(approx (+ ( 1/7 (* x x)) 1/5) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (pow.f32 x #s(literal 3 binary32))) #s(literal 3 binary32)) (fma.f32 x (-.f32 x (.f32 (fma.f32 #s(approx (+ (* 1/7 (* x x)) 1/5) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (pow.f32 (.f32 (fma.f32 #s(approx (+ (* 1/7 (* x x)) 1/5) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (pow.f32 x #s(literal 3 binary32))) #s(literal 2 binary32)))) (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 x (-.f32 x (.f32 (fma.f32 #s(approx (+ (* 1/7 (* x x)) 1/5) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (pow.f32 (.f32 (fma.f32 #s(approx (+ (* 1/7 (* x x)) 1/5) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (pow.f32 x #s(literal 3 binary32))) #s(literal 2 binary32)))))
(+.f32 (.f32 (.f32 #s(approx (+ (* 1/7 (* x x)) 1/5) #s(literal 1/5 binary32)) x) (*.f32 x (pow.f32 x #s(literal 3 binary32)))) (fma.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32)) x))
(+.f32 (.f32 (fma.f32 #s(approx (+ ( 1/7 (* x x)) 1/5) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (pow.f32 x #s(literal 3 binary32))) x)
(+.f32 x (.f32 (fma.f32 #s(approx (+ ( 1/7 (* x x)) 1/5) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (pow.f32 x #s(literal 3 binary32))))
(*.f32 (neg.f32 (neg.f32 x)) (neg.f32 (neg.f32 x)))
(*.f32 (neg.f32 (fabs.f32 x)) (neg.f32 (fabs.f32 x)))
(*.f32 (fabs.f32 (fabs.f32 x)) (fabs.f32 (fabs.f32 x)))
(*.f32 (pow.f32 x #s(literal 1 binary32)) (pow.f32 x #s(literal 1 binary32)))
(*.f32 (pow.f32 x #s(literal 1 binary32)) x)
(*.f32 (neg.f32 x) (neg.f32 x))
(*.f32 (fabs.f32 x) (fabs.f32 x))
(*.f32 x x)
(pow.f32 (neg.f32 x) #s(literal 2 binary32))
(pow.f32 (fabs.f32 x) #s(literal 2 binary32))
(pow.f32 x #s(literal 2 binary32))
(fabs.f32 (*.f32 x x))
(exp.f32 (*.f32 (log.f32 x) #s(literal 2 binary32)))
(neg.f32 (*.f32 x (neg.f32 x)))
(neg.f32 (*.f32 (neg.f32 x) x))
#s(approx (+ (* 1/7 (* x x)) 1/5) #s(literal 1/5 binary32))
(/.f32 (-.f32 #s(literal 1/9 binary32) (pow.f32 (.f32 (.f32 #s(approx (+ (* 1/7 (* x x)) 1/5) #s(literal 1/5 binary32)) x) x) #s(literal 2 binary32))) (-.f32 #s(literal 1/3 binary32) (.f32 (.f32 #s(approx (+ (* 1/7 (* x x)) 1/5) #s(literal 1/5 binary32)) x) x)))
(/.f32 (neg.f32 (-.f32 (pow.f32 (.f32 (.f32 #s(approx (+ (* 1/7 (* x x)) 1/5) #s(literal 1/5 binary32)) x) x) #s(literal 2 binary32)) #s(literal 1/9 binary32))) (neg.f32 (-.f32 (.f32 (.f32 #s(approx (+ (* 1/7 (* x x)) 1/5) #s(literal 1/5 binary32)) x) x) #s(literal 1/3 binary32))))
(/.f32 (neg.f32 (+.f32 #s(literal 1/27 binary32) (pow.f32 (.f32 (.f32 #s(approx (+ (* 1/7 (* x x)) 1/5) #s(literal 1/5 binary32)) x) x) #s(literal 3 binary32)))) (neg.f32 (fma.f32 #s(literal 1/3 binary32) (-.f32 #s(literal 1/3 binary32) (.f32 (.f32 #s(approx (+ (* 1/7 (* x x)) 1/5) #s(literal 1/5 binary32)) x) x)) (pow.f32 (.f32 (.f32 #s(approx (+ (* 1/7 (* x x)) 1/5) #s(literal 1/5 binary32)) x) x) #s(literal 2 binary32)))))
(/.f32 (-.f32 (pow.f32 (.f32 (.f32 #s(approx (+ (* 1/7 (* x x)) 1/5) #s(literal 1/5 binary32)) x) x) #s(literal 2 binary32)) #s(literal 1/9 binary32)) (-.f32 (.f32 (.f32 #s(approx (+ (* 1/7 (* x x)) 1/5) #s(literal 1/5 binary32)) x) x) #s(literal 1/3 binary32)))
(/.f32 (+.f32 #s(literal 1/27 binary32) (pow.f32 (.f32 (.f32 #s(approx (+ (* 1/7 (* x x)) 1/5) #s(literal 1/5 binary32)) x) x) #s(literal 3 binary32))) (+.f32 #s(literal 1/9 binary32) (-.f32 (pow.f32 (.f32 (.f32 #s(approx (+ (* 1/7 (* x x)) 1/5) #s(literal 1/5 binary32)) x) x) #s(literal 2 binary32)) (.f32 (.f32 #s(approx (+ (* 1/7 (* x x)) 1/5) #s(literal 1/5 binary32)) x) (*.f32 x #s(literal 1/3 binary32))))))
(/.f32 (+.f32 #s(literal 1/27 binary32) (pow.f32 (.f32 (.f32 #s(approx (+ (* 1/7 (* x x)) 1/5) #s(literal 1/5 binary32)) x) x) #s(literal 3 binary32))) (fma.f32 #s(literal 1/3 binary32) (-.f32 #s(literal 1/3 binary32) (.f32 (.f32 #s(approx (+ (* 1/7 (* x x)) 1/5) #s(literal 1/5 binary32)) x) x)) (pow.f32 (.f32 (.f32 #s(approx (+ (* 1/7 (* x x)) 1/5) #s(literal 1/5 binary32)) x) x) #s(literal 2 binary32))))
(-.f32 (/.f32 (pow.f32 (.f32 (.f32 #s(approx (+ (* 1/7 (* x x)) 1/5) #s(literal 1/5 binary32)) x) x) #s(literal 2 binary32)) (-.f32 (.f32 (.f32 #s(approx (+ (* 1/7 (* x x)) 1/5) #s(literal 1/5 binary32)) x) x) #s(literal 1/3 binary32))) (/.f32 #s(literal 1/9 binary32) (-.f32 (.f32 (.f32 #s(approx (+ (* 1/7 (* x x)) 1/5) #s(literal 1/5 binary32)) x) x) #s(literal 1/3 binary32))))
(-.f32 #s(literal 1/3 binary32) (.f32 (neg.f32 (.f32 #s(approx (+ (* 1/7 (* x x)) 1/5) #s(literal 1/5 binary32)) x)) x))
(-.f32 #s(literal 1/3 binary32) (.f32 (neg.f32 #s(approx (+ ( 1/7 (* x x)) 1/5) #s(literal 1/5 binary32))) (*.f32 x x)))
(-.f32 #s(literal 1/3 binary32) (.f32 (neg.f32 (.f32 x x)) #s(approx (+ (* 1/7 (* x x)) 1/5) #s(literal 1/5 binary32))))
(fma.f32 (.f32 #s(approx (+ ( 1/7 (* x x)) 1/5) #s(literal 1/5 binary32)) (neg.f32 x)) (neg.f32 x) #s(literal 1/3 binary32))
(fma.f32 (.f32 #s(approx (+ ( 1/7 (* x x)) 1/5) #s(literal 1/5 binary32)) (fabs.f32 x)) (fabs.f32 x) #s(literal 1/3 binary32))
(fma.f32 (.f32 #s(approx (+ ( 1/7 (* x x)) 1/5) #s(literal 1/5 binary32)) x) x #s(literal 1/3 binary32))
(fma.f32 (neg.f32 x) (.f32 (neg.f32 x) #s(approx (+ ( 1/7 (* x x)) 1/5) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))
(fma.f32 (fabs.f32 x) (.f32 (fabs.f32 x) #s(approx (+ ( 1/7 (* x x)) 1/5) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))
(fma.f32 #s(approx (+ (* 1/7 (* x x)) 1/5) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32))
(fma.f32 (.f32 x x) #s(approx (+ ( 1/7 (* x x)) 1/5) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))
(fma.f32 x (.f32 #s(approx (+ ( 1/7 (* x x)) 1/5) #s(literal 1/5 binary32)) x) #s(literal 1/3 binary32))
(+.f32 (/.f32 (pow.f32 (.f32 (.f32 #s(approx (+ (* 1/7 (* x x)) 1/5) #s(literal 1/5 binary32)) x) x) #s(literal 3 binary32)) (fma.f32 #s(literal 1/3 binary32) (-.f32 #s(literal 1/3 binary32) (.f32 (.f32 #s(approx (+ (* 1/7 (* x x)) 1/5) #s(literal 1/5 binary32)) x) x)) (pow.f32 (.f32 (.f32 #s(approx (+ (* 1/7 (* x x)) 1/5) #s(literal 1/5 binary32)) x) x) #s(literal 2 binary32)))) (/.f32 #s(literal 1/27 binary32) (fma.f32 #s(literal 1/3 binary32) (-.f32 #s(literal 1/3 binary32) (.f32 (.f32 #s(approx (+ (* 1/7 (* x x)) 1/5) #s(literal 1/5 binary32)) x) x)) (pow.f32 (.f32 (.f32 #s(approx (+ (* 1/7 (* x x)) 1/5) #s(literal 1/5 binary32)) x) x) #s(literal 2 binary32)))))
(+.f32 (.f32 (.f32 #s(approx (+ (* 1/7 (* x x)) 1/5) #s(literal 1/5 binary32)) x) x) #s(literal 1/3 binary32))
(+.f32 #s(literal 1/3 binary32) (.f32 (.f32 #s(approx (+ (* 1/7 (* x x)) 1/5) #s(literal 1/5 binary32)) x) x))

eval37.0ms (0.8%)

Memory: -11.1MiB live, 34.5MiB allocated; 3ms collecting garbage
Compiler: Compiled 5 027 to 500 computations (90.1% saved)

prune7.0ms (0.1%)

Memory

21.5MiB live, 21.5MiB allocated; 0ms collecting garbage

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	123	0	123
Fresh	0	0	0
Picked	0	1	1
Done	0	7	7
Total	123	8	131

Accuracy

100.0%

Counts

131 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (+.f32 x x) (-.f32 #s(literal 1 binary32) x))))
✓	99.6%	(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (+ x 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)))
✓	99.1%	(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (+ x x) (- 1 x)))) (.f32 (fma.f32 #s(literal 2/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x)))
✓	99.4%	(.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)))
✓	97.6%	(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)))
✓	99.7%	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (.f32 (.f32 x x) x) (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))
✓	99.5%	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (.f32 (.f32 x x) x) (fma.f32 #s(approx (+ (* 1/7 (* x x)) 1/5) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x))
✓	99.2%	#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 514 to 209 computations (59.3% saved)

regimes29.0ms (0.6%)

Memory

1.5MiB live, 46.6MiB allocated; 4ms collecting garbage

Counts

14 → 1

Calls

Call 1

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

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

Calls

4 calls:

17.0ms	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
4.0ms	x
4.0ms	(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))

Results

Accuracy	Segments	Branch
99.9%	1	`(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))`
99.9%	1	`(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))`
99.9%	1	`(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))`
99.9%	1	`x`

Compiler

Compiled 26 to 23 computations (11.5% saved)

regimes26.0ms (0.6%)

Memory

-17.9MiB live, 40.5MiB allocated; 20ms collecting garbage

Counts

11 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

15.0ms	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.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	(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
3.0ms	x

Results

Accuracy	Segments	Branch
99.7%	1	`(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))`
99.7%	1	`(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))`
99.7%	1	`(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))`
99.7%	1	`x`

Compiler

Compiled 26 to 23 computations (11.5% saved)

regimes13.0ms (0.3%)

Memory

-13.5MiB live, 33.0MiB 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 #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 (/ (+ x x) (- 1 x)))) (.f32 (fma.f32 #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) (fma.f32 #s(approx (+ (* 1/7 (* x x)) 1/5) #s(literal 1/5 binary32)) (*.f32 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 (fma.f32 #s(literal 2/5 binary32) (.f32 x x) #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) (fma.f32 #s(approx (+ (* 1/7 (* x x)) 1/5) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x))

Calls

4 calls:

5.0ms	(/.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
99.5%	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)

regimes7.0ms (0.2%)

Memory

28.2MiB live, 28.2MiB allocated; 0ms collecting garbage

Counts

4 → 1

Calls

Call 1

Inputs
(.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 (/ (+ x x) (- 1 x)))) (.f32 (fma.f32 #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
99.2%	1	`(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))`
99.2%	1	`(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))`
99.2%	1	`(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))`
99.2%	1	`x`

Compiler

Compiled 26 to 23 computations (11.5% saved)

regimes18.0ms (0.4%)

Memory

-25.9MiB live, 20.2MiB allocated; 3ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(.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 #s(literal 2 binary32) x)))

Calls

4 calls:

14.0ms	(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
1.0ms	(.f32 #s(literal 1/2 binary32) (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
97.6%	1	`(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))`
97.6%	1	`(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))`
97.6%	1	`(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))`
97.6%	1	`x`

Compiler

Compiled 26 to 23 computations (11.5% saved)

simplify46.0ms (1%)

Memory

13.5MiB live, 59.4MiB allocated; 4ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	112
1	55	112
2	107	112
3	261	112
4	1031	112
5	4959	112

Stop Event

1×	node limit

Calls

Call 1

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

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

derivations441.0ms (9.7%)

Memory

-5.6MiB live, 321.2MiB allocated; 69ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	234
0	60	222
0	240	222
0	9	28
0	15	28
1	53	28
0	365	28
0	159	710
1	589	701
2	2034	694
0	8064	660
0	106	302
1	386	291
2	1450	282
3	7495	282
0	8200	262

Stop Event

1×	done
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit
1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Compiler

Compiled 112 to 41 computations (63.4% saved)

preprocess27.0ms (0.6%)

Memory: 0.2MiB live, 44.6MiB allocated; 6ms collecting garbage
Compiler: Compiled 244 to 100 computations (59% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.1MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze1.0ms (0%)

sample1.1s (24.3%)

explain90.0ms (2%)

preprocess217.0ms (4.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify241.0ms (5.3%)

localize81.0ms (1.8%)

series4.0ms (0.1%)

simplify196.0ms (4.3%)

rewrite107.0ms (2.4%)

eval11.0ms (0.2%)

prune5.0ms (0.1%)

simplify201.0ms (4.4%)

localize180.0ms (4%)

series10.0ms (0.2%)

simplify235.0ms (5.2%)

rewrite34.0ms (0.8%)

eval21.0ms (0.5%)

prune5.0ms (0.1%)

simplify164.0ms (3.6%)

localize198.0ms (4.4%)

series13.0ms (0.3%)

simplify195.0ms (4.3%)

rewrite33.0ms (0.7%)

eval24.0ms (0.5%)

prune6.0ms (0.1%)

simplify150.0ms (3.3%)

localize85.0ms (1.9%)

series4.0ms (0.1%)

simplify178.0ms (3.9%)

rewrite101.0ms (2.2%)

eval37.0ms (0.8%)

prune7.0ms (0.1%)

regimes29.0ms (0.6%)

regimes26.0ms (0.6%)

regimes13.0ms (0.3%)

regimes7.0ms (0.2%)

regimes18.0ms (0.4%)

simplify46.0ms (1%)

derivations441.0ms (9.7%)

preprocess27.0ms (0.6%)

end0.0ms (0%)

Profiling