Metrics for Rust f32::atanh

start0.0ms (0%)

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

analyze2.0ms (0%)

Memory

2.6MiB live, 2.6MiB 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)

sample751.0ms (10%)

Memory

56.6MiB live, 747.7MiB allocated; 206ms collecting garbage

Samples

608.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 334.0ms

ival-atanh: 324.0ms (96.9% of total)

ival-true: 5.0ms (1.5% of total)

ival-assert: 3.0ms (0.9% of total)

adjust: 2.0ms (0.6% of total)

Bogosity

explain91.0ms (1.2%)

Memory

-21.1MiB live, 211.7MiB allocated; 25ms 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

40.0ms

512×

valid

Compiler

Compiled 92 to 31 computations (66.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-div: 9.0ms (31.7% of total)

ival-sub: 7.0ms (24.6% of total)

ival-mult: 7.0ms (24.6% of total)

ival-log1p: 4.0ms (14.1% of total)

exact: 1.0ms (3.5% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess622.0ms (8.2%)

Memory

34.7MiB live, 451.4MiB allocated; 174ms 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	2287	10
6	5638	10
0	8082	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: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(.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)

simplify782.0ms (10.4%)

Memory

32.3MiB live, 483.2MiB allocated; 131ms 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	2287	35
6	5638	35
0	8082	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)

localize28.0ms (0.4%)

Memory

-0.5MiB live, 90.6MiB allocated; 9ms 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	0.0703125	(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))

Samples

21.0ms

256×

valid

Compiler

Compiled 41 to 11 computations (73.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-mult: 6.0ms (49.5% of total)

ival-div: 2.0ms (16.5% of total)

ival-log1p: 2.0ms (16.5% of total)

ival-sub: 1.0ms (8.2% 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

18.5MiB live, 18.5MiB 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	@	inf	((* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (/ (* 2 x) (- 1 x)) (* 2 x))
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))

Time

Variable

Point

Expression

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

((* 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))

simplify749.0ms (9.9%)

Memory

-69.0MiB live, 367.2MiB allocated; 175ms 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	8201	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))

rewrite89.0ms (1.2%)

Memory

-4.4MiB live, 88.0MiB allocated; 42ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	28
0	15	28
1	53	28
0	360	28

Stop Event

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

Counts

4 → 31

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 (pow.f32 (.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #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))))
(fma.f32 #s(literal 1 binary32) x x)
(fma.f32 x #s(literal 1 binary32) x)
(+.f32 x x)

eval5.0ms (0.1%)

Memory: 10.7MiB live, 10.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 972 to 252 computations (74.1% saved)

prune5.0ms (0.1%)

Memory

10.3MiB live, 10.3MiB allocated; 0ms collecting garbage

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	47	8	55
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	48	8	56

Accuracy

100.0%

Counts

56 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (+.f32 x x) (-.f32 #s(literal 1 binary32) x))))
▶	99.7%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)))))
	98.8%	(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2/7 binary32) (.f32 x x) #s(literal 2/5 binary32)) (.f32 x x) #s(literal 2/3 binary32)) (.f32 x x) #s(literal 2 binary32)) x)))
▶	98.5%	(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f32 (fma.f32 (fma.f32 #s(literal 2/5 binary32) (.f32 x x) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x)))
	97.8%	(.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)))
▶	96.1%	(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)))
	98.6%	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) x))
▶	97.8%	#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 314 to 234 computations (25.5% saved)

simplify663.0ms (8.8%)

Memory

-41.2MiB live, 391.3MiB allocated; 133ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))
cost-diff	0	(*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)))
cost-diff	0	(log1p.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))))
cost-diff	0	(.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)))))
cost-diff	0	(pow.f32 x #s(literal 3 binary32))
cost-diff	0	(fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/3 binary32) x)
cost-diff	0	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/3 binary32) x))
cost-diff	0	(fma.f32 (fma.f32 #s(literal 2/5 binary32) (.f32 x x) #s(literal 2/3 binary32)) (.f32 x x) #s(literal 2 binary32))
cost-diff	0	(.f32 (fma.f32 (fma.f32 #s(literal 2/5 binary32) (.f32 x x) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x)
cost-diff	0	#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (.f32 (fma.f32 (fma.f32 #s(literal 2/5 binary32) (.f32 x x) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x))
cost-diff	0	(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f32 (fma.f32 (fma.f32 #s(literal 2/5 binary32) (.f32 x x) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x)))
cost-diff	0	(*.f32 #s(literal 2 binary32) x)
cost-diff	0	#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x))
cost-diff	0	(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)))
cost-diff	0	(+.f32 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	35	226
0	57	216
1	95	216
2	215	216
3	791	216
4	3320	216
0	8050	216

Stop Event

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

Calls

Call 1

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

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

localize132.0ms (1.7%)

Memory

21.5MiB live, 213.0MiB allocated; 34ms collecting garbage

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0	(.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)))))
accuracy	0.0234375	(log1p.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))))
accuracy	0.0546875	(*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)))
accuracy	0.0859375	(/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))
accuracy	0.0	(fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/3 binary32) x)
accuracy	0.0	(pow.f32 x #s(literal 3 binary32))
accuracy	0.6919194789965267	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/3 binary32) x))
accuracy	0.00390625	(fma.f32 (fma.f32 #s(literal 2/5 binary32) (.f32 x x) #s(literal 2/3 binary32)) (.f32 x x) #s(literal 2 binary32))
accuracy	0.0234375	(fma.f32 #s(literal 2/5 binary32) (*.f32 x x) #s(literal 2/3 binary32))
accuracy	0.0546875	(.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	0.45938880671392424	#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	1.26391068735361	#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	0.0703125	(/.f32 (+.f32 x x) (-.f32 #s(literal 1 binary32) x))

Samples

114.0ms

256×

valid

Compiler

Compiled 199 to 32 computations (83.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 100.0ms

ival-pow: 42.0ms (41.8% of total)

ival-mult: 15.0ms (14.9% of total)

ival-add: 13.0ms (12.9% of total)

ival-sub: 9.0ms (9% of total)

const: 9.0ms (9% of total)

ival-log1p: 6.0ms (6% of total)

ival-div: 5.0ms (5% of total)

exact: 1.0ms (1% of total)

adjust: 0.0ms (0% of total)

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

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

series8.0ms (0.1%)

Memory

13.4MiB live, 13.4MiB allocated; 0ms collecting garbage

Counts

19 → 52

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))
(.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)))))
(log1p.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))))
(*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)))
(/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))
(fma.f32 #s(literal 2/5 binary32) (*.f32 x x) #s(literal 2/3 binary32))

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

Calls

3 calls:

Time	Variable		Point	Expression
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 (* x (/ 2 (- 1 x)))))) (log (+ 1 (* x (/ 2 (- 1 x))))) (* x (/ 2 (- 1 x))) (/ 2 (- 1 x)) (+ (* 2/5 (* x x)) 2/3))
2.0ms	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 (* x (/ 2 (- 1 x)))))) (log (+ 1 (* x (/ 2 (- 1 x))))) (* x (/ 2 (- 1 x))) (/ 2 (- 1 x)) (+ (* 2/5 (* x x)) 2/3))
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 (* x (/ 2 (- 1 x)))))) (log (+ 1 (* x (/ 2 (- 1 x))))) (* x (/ 2 (- 1 x))) (/ 2 (- 1 x)) (+ (* 2/5 (* x x)) 2/3))

Time

Variable

Point

Expression

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

2.0ms

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

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

simplify375.0ms (5%)

Memory

-16.9MiB live, 309.1MiB allocated; 49ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	137	541
1	504	515
2	1870	508
0	8356	477

Stop Event

1×	iter limit
1×	node limit

Counts

52 → 51

Calls

Call 1

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

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

rewrite57.0ms (0.8%)

Memory

10.9MiB live, 55.8MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	199
0	57	189
0	206	189

Stop Event

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

Counts

19 → 68

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))
(.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)))))
(log1p.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))))
(*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)))
(/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))
(fma.f32 #s(literal 2/5 binary32) (*.f32 x x) #s(literal 2/3 binary32))

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

eval8.0ms (0.1%)

Memory: 25.3MiB live, 25.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 2 346 to 429 computations (81.7% saved)

prune18.0ms (0.2%)

Memory

-29.9MiB live, 14.2MiB allocated; 7ms collecting garbage

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	94	4	98
Fresh	3	0	3
Picked	1	4	5
Done	0	0	0
Total	98	8	106

Accuracy

100.0%

Counts

106 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (+.f32 x x) (-.f32 #s(literal 1 binary32) x))))
✓	99.7%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)))))
▶	98.8%	(.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)))
▶	97.8%	(.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)))
✓	98.5%	(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f32 (fma.f32 (fma.f32 #s(literal 2/5 binary32) (.f32 x x) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x)))
✓	96.1%	(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)))
▶	98.6%	#s(approx (* 1/2 (log (+ 1 (/ (+ x 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))
▶	97.8%	#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 159 to 114 computations (28.3% saved)

simplify790.0ms (10.5%)

Memory

-12.4MiB live, 478.8MiB allocated; 101ms 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	(fma.f32 #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 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) x)
cost-diff	0	#s(approx (* 1/2 (log (+ 1 (/ (+ x 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))
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	39	271
0	60	265
1	116	265
2	356	265
3	1653	265
4	5887	265
0	8086	253

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

localize109.0ms (1.4%)

Memory

59.8MiB live, 182.9MiB allocated; 36ms collecting garbage

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.02734375	(fma.f32 (fma.f32 #s(literal 2/7 binary32) (.f32 x x) #s(literal 2/5 binary32)) (.f32 x x) #s(literal 2/3 binary32))
accuracy	0.0390625	(fma.f32 #s(literal 2/7 binary32) (*.f32 x x) #s(literal 2/5 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	0.3568726175448778	#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	0.02734375	(.f32 (fma.f32 #s(literal 2/3 binary32) (.f32 x x) #s(literal 2 binary32)) x)
accuracy	0.6919194789965267	#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	0.0	(*.f32 x x)
accuracy	0.00390625	(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)
accuracy	0.0234375	(fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32))
accuracy	0.45938880671392424	#s(approx (* 1/2 (log (+ 1 (/ (+ x 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))
accuracy	0.0	(fma.f32 (.f32 (.f32 x x) x) #s(literal 1/3 binary32) x)
accuracy	0.0	(*.f32 x x)
accuracy	0.1015625	(.f32 (.f32 x x) x)
accuracy	0.6919194789965267	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (.f32 (.f32 x x) x) #s(literal 1/3 binary32) x))

Samples

89.0ms

256×

valid

Compiler

Compiled 211 to 40 computations (81% saved)

Precisions

Click to see histograms. Total time spent on operations: 76.0ms

ival-mult: 39.0ms (51.1% of total)

const: 13.0ms (17% of total)

ival-add: 9.0ms (11.8% of total)

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

ival-log1p: 4.0ms (5.2% of total)

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

ival-sub: 1.0ms (1.3% 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)

series25.0ms (0.3%)

Memory

-27.2MiB live, 23.9MiB allocated; 33ms collecting garbage

Counts

18 → 58

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

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

18.0ms

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

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

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

simplify231.0ms (3.1%)

Memory

-1.7MiB live, 271.8MiB allocated; 98ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	146	606
1	537	597
2	1869	592
0	8229	561

Stop Event

1×	iter limit
1×	node limit

Counts

58 → 57

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

rewrite37.0ms (0.5%)

Memory

8.9MiB live, 52.0MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	246
0	60	240
0	253	228

Stop Event

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

Counts

18 → 74

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

Outputs
(*.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 #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 #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 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) (pow.f32 x #s(literal 3 binary32))) (.f32 (fma.f32 #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 #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(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 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) (pow.f32 x #s(literal 3 binary32))) (.f32 (fma.f32 #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 #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 #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 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) x)
(+.f32 (.f32 (fma.f32 #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(literal 1/5 binary32) (.f32 x x) #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)))
(/.f32 (-.f32 (.f32 (.f32 #s(literal 1/5 binary32) (.f32 x x)) (.f32 #s(literal 1/5 binary32) (.f32 x x))) #s(literal 1/9 binary32)) (-.f32 (.f32 #s(literal 1/5 binary32) (*.f32 x x)) #s(literal 1/3 binary32)))
(/.f32 (+.f32 (pow.f32 (.f32 #s(literal 1/5 binary32) (.f32 x x)) #s(literal 3 binary32)) (pow.f32 #s(literal 1/3 binary32) #s(literal 3 binary32))) (fma.f32 (.f32 #s(literal 1/5 binary32) (.f32 x x)) (.f32 #s(literal 1/5 binary32) (.f32 x x)) (-.f32 #s(literal 1/9 binary32) (.f32 (.f32 #s(literal 1/5 binary32) (*.f32 x x)) #s(literal 1/3 binary32)))))
(fma.f32 (*.f32 #s(literal 1/5 binary32) x) x #s(literal 1/3 binary32))
(fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32))
(fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32))
(+.f32 (.f32 #s(literal 1/5 binary32) (.f32 x x)) #s(literal 1/3 binary32))
(+.f32 #s(literal 1/3 binary32) (.f32 #s(literal 1/5 binary32) (.f32 x 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))
(.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)) (pow.f32 #s(literal 2 binary32) #s(literal 3 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)) (pow.f32 #s(literal 2 binary32) #s(literal 3 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 #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)) (pow.f32 #s(literal 2/5 binary32) #s(literal 3 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)))
(/.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)) (pow.f32 #s(literal 2/3 binary32) #s(literal 3 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))

eval23.0ms (0.3%)

Memory: 5.2MiB live, 54.8MiB allocated; 17ms collecting garbage
Compiler: Compiled 4 618 to 666 computations (85.6% saved)

prune6.0ms (0.1%)

Memory

18.1MiB live, 18.1MiB allocated; 0ms collecting garbage

Pruning

9 alts after pruning (1 fresh and 8 done)

	Pruned	Kept	Total
New	142	1	143
Fresh	0	0	0
Picked	0	4	4
Done	0	4	4
Total	142	9	151

Accuracy

100.0%

Counts

151 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (+.f32 x x) (-.f32 #s(literal 1 binary32) x))))
✓	99.7%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)))))
✓	98.8%	(.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)))
✓	97.8%	(.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)))
▶	98.8%	(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (+ x x) (- 1 x)))) (.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) #s(literal 2 binary32)) x)))
✓	98.5%	(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f32 (fma.f32 (fma.f32 #s(literal 2/5 binary32) (.f32 x x) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x)))
✓	96.1%	(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)))
✓	98.6%	#s(approx (* 1/2 (log (+ 1 (/ (+ x 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))
✓	97.8%	#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 191 to 135 computations (29.3% saved)

simplify254.0ms (3.4%)

Memory

16.1MiB live, 241.3MiB allocated; 40ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	152
0	31	152
1	56	152
2	160	152
3	682	152
4	2821	152
5	6965	152
0	8311	144

Stop Event

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

Calls

Call 1

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

localize53.0ms (0.7%)

Memory

3.6MiB live, 91.8MiB allocated; 10ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.04296875	(.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) #s(literal 2 binary32)) x)
accuracy	0.16015625	(.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)
accuracy	0.30859375	(.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)
accuracy	0.3568726175448778	#s(approx (log (+ 1 (/ (+ x x) (- 1 x)))) (.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) #s(literal 2 binary32)) x))

Samples

40.0ms

256×

valid

Compiler

Compiled 125 to 23 computations (81.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

const: 11.0ms (34.3% of total)

ival-mult: 10.0ms (31.2% of total)

ival-add: 5.0ms (15.6% of total)

ival-div: 2.0ms (6.2% of total)

ival-log1p: 2.0ms (6.2% of total)

ival-sub: 1.0ms (3.1% 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)

series3.0ms (0%)

Memory

4.2MiB live, 4.2MiB allocated; 0ms collecting garbage

Counts

6 → 42

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

-inf

((+ (* (* (+ (* (+ (* 2/7 (* x x)) 2/5) (* x 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) (* (* (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3) x) x))

1.0ms

inf

((+ (* (* (+ (* (+ (* 2/7 (* x x)) 2/5) (* x 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) (* (* (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3) x) x))

1.0ms

((+ (* (* (+ (* (+ (* 2/7 (* x x)) 2/5) (* x 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) (* (* (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3) x) x))

simplify145.0ms (1.9%)

Memory

3.0MiB live, 147.6MiB allocated; 22ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	130	528
1	472	521
2	1602	515
3	7766	515
0	8241	488

Stop Event

1×	iter limit
1×	node limit

Counts

42 → 41

Calls

Call 1

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

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

rewrite38.0ms (0.5%)

Memory

-27.3MiB live, 18.3MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	126
0	31	126
0	128	118

Stop Event

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

Counts

6 → 17

Calls

Call 1

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

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

eval5.0ms (0.1%)

Memory: 8.1MiB live, 8.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 2 173 to 325 computations (85% saved)

prune6.0ms (0.1%)

Memory

13.5MiB live, 13.5MiB allocated; 0ms collecting garbage

Pruning

9 alts after pruning (0 fresh and 9 done)

	Pruned	Kept	Total
New	58	0	58
Fresh	0	0	0
Picked	0	1	1
Done	0	8	8
Total	58	9	67

Accuracy

100.0%

Counts

67 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (+.f32 x x) (-.f32 #s(literal 1 binary32) x))))
✓	99.7%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)))))
✓	98.8%	(.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)))
✓	97.8%	(.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)))
✓	98.8%	(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (+ x x) (- 1 x)))) (.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) #s(literal 2 binary32)) x)))
✓	98.5%	(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f32 (fma.f32 (fma.f32 #s(literal 2/5 binary32) (.f32 x x) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x)))
✓	96.1%	(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)))
✓	98.6%	#s(approx (* 1/2 (log (+ 1 (/ (+ x 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))
✓	97.8%	#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 487 to 210 computations (56.9% saved)

regimes292.0ms (3.9%)

Memory

-77.0MiB live, 82.5MiB allocated; 60ms 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)))
(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f32 (fma.f32 (fma.f32 #s(literal 2/5 binary32) (.f32 x x) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x)))
(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.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)))
(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (+ x x) (- 1 x)))) (.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) #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))
#s(approx (* 1/2 (log (+ 1 (/ (+ x 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 x (/.f32 #s(literal 2 binary32) (-.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))))

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

Calls

4 calls:

279.0ms	(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))
4.0ms	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
4.0ms	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 (0.2%)

Memory

27.4MiB live, 27.4MiB allocated; 0ms 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)))
(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f32 (fma.f32 (fma.f32 #s(literal 2/5 binary32) (.f32 x x) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x)))
(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.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)))
(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (+ x x) (- 1 x)))) (.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) #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))
#s(approx (* 1/2 (log (+ 1 (/ (+ x 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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
98.8%	1	`(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))`
98.8%	1	`(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))`
98.8%	1	`(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))`
98.8%	1	`x`

Compiler

Compiled 26 to 23 computations (11.5% saved)

regimes38.0ms (0.5%)

Memory

-20.8MiB live, 23.0MiB allocated; 5ms collecting garbage

Counts

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

Outputs

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

Calls

4 calls:

31.0ms	(.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	(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
2.0ms	x

Results

Accuracy	Segments	Branch
98.8%	1	`(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))`
98.8%	1	`(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))`
98.8%	1	`(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))`
98.8%	1	`x`

Compiler

Compiled 26 to 23 computations (11.5% saved)

regimes8.0ms (0.1%)

Memory

23.2MiB live, 23.2MiB allocated; 0ms collecting garbage

Counts

5 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
98.5%	1	`(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))`
98.5%	1	`(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))`
98.5%	1	`(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))`
98.5%	1	`x`

Compiler

Compiled 26 to 23 computations (11.5% saved)

regimes33.0ms (0.4%)

Memory

-35.8MiB live, 10.8MiB allocated; 4ms 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
97.8%	1	`(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))`
97.8%	1	`(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))`
97.8%	1	`(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))`
97.8%	1	`x`

Compiler

Compiled 26 to 23 computations (11.5% saved)

regimes4.0ms (0.1%)

Memory

8.1MiB live, 8.1MiB allocated; 0ms 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:

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	(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
96.1%	1	`(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))`
96.1%	1	`(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))`
96.1%	1	`(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))`
96.1%	1	`x`

Compiler

Compiled 26 to 23 computations (11.5% saved)

simplify46.0ms (0.6%)

Memory

33.7MiB live, 33.7MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	136
1	60	136
2	82	136
3	162	136
4	747	136
5	7264	136

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

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

derivations932.0ms (12.4%)

Memory

-40.6MiB live, 388.4MiB allocated; 60ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	246
0	60	240
0	253	228
0	137	541
1	504	515
2	1870	508
0	8356	477
0	35	199
0	57	189
0	206	189
0	106	302
1	386	291
2	1450	282
3	7495	282
0	8201	262
0	9	28
0	15	28
1	53	28
0	360	28

Stop Event

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

Compiler

Compiled 136 to 46 computations (66.2% saved)

preprocess57.0ms (0.8%)

Memory: 53.8MiB live, 93.7MiB allocated; 11ms collecting garbage
Compiler: Compiled 292 to 110 computations (62.3% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze2.0ms (0%)

sample751.0ms (10%)

explain91.0ms (1.2%)

preprocess622.0ms (8.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify782.0ms (10.4%)

localize28.0ms (0.4%)

series4.0ms (0.1%)

simplify749.0ms (9.9%)

rewrite89.0ms (1.2%)

eval5.0ms (0.1%)

prune5.0ms (0.1%)

simplify663.0ms (8.8%)

localize132.0ms (1.7%)

series8.0ms (0.1%)

simplify375.0ms (5%)

rewrite57.0ms (0.8%)

eval8.0ms (0.1%)

prune18.0ms (0.2%)

simplify790.0ms (10.5%)

localize109.0ms (1.4%)

series25.0ms (0.3%)

simplify231.0ms (3.1%)

rewrite37.0ms (0.5%)

eval23.0ms (0.3%)

prune6.0ms (0.1%)

simplify254.0ms (3.4%)

localize53.0ms (0.7%)

series3.0ms (0%)

simplify145.0ms (1.9%)

rewrite38.0ms (0.5%)

eval5.0ms (0.1%)

prune6.0ms (0.1%)

regimes292.0ms (3.9%)

regimes13.0ms (0.2%)

regimes38.0ms (0.5%)

regimes8.0ms (0.1%)

regimes33.0ms (0.4%)

regimes4.0ms (0.1%)

simplify46.0ms (0.6%)

derivations932.0ms (12.4%)

preprocess57.0ms (0.8%)

end0.0ms (0%)

Profiling