Metrics for neg log

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze2.0ms (0.1%)

Memory

3.8MiB live, 3.8MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
0%	0%	50%	0%	0%	50%	0%	3
33.3%	12.5%	25%	0%	0%	62.5%	0%	4
60%	18.7%	12.5%	0%	0%	68.7%	0%	5
77.8%	21.9%	6.2%	0%	0%	71.8%	0%	6
88.2%	23.4%	3.1%	0%	0%	73.4%	0%	7
93.9%	24.2%	1.6%	0%	0%	74.2%	0%	8
96.9%	24.6%	0.8%	0%	0%	74.6%	0%	9
98.4%	24.8%	0.4%	0%	0%	74.8%	0%	10
99.2%	24.9%	0.2%	0%	0%	74.9%	0%	11
99.6%	24.9%	0.1%	0%	0%	74.9%	0%	12

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample963.0ms (25.4%)

Memory

10.9MiB live, 789.7MiB allocated

Samples

703.0ms	8 256×	0	valid
1.0ms	19×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 271.0ms

ival-log: 107.0ms (39.5% of total)

ival-div: 76.0ms (28% of total)

ival-sub: 38.0ms (14% of total)

ival-neg: 36.0ms (13.3% of total)

ival-true: 5.0ms (1.8% of total)

exact: 5.0ms (1.8% of total)

ival-assert: 3.0ms (1.1% of total)

Bogosity

explain72.0ms (1.9%)

Memory

26.3MiB live, 119.9MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))`
-	-	`(/.f64 #s(literal 1 binary64) x)`
-	-	`#s(literal 1 binary64)`
-	-	`(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))`
-	-	`(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))`
-	-	`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

28.0ms

512×

valid

Compiler

Compiled 57 to 22 computations (61.4% saved)

Precisions

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

ival-log: 6.0ms (37.3% of total)

ival-div: 4.0ms (24.9% of total)

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

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

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

exact: 0.0ms (0% of total)

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

preprocess42.0ms (1.1%)

Memory

-38.2MiB live, 15.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	12	13
2	15	13
0	6	7
0	10	7
1	12	7
0	12	7

Stop Event

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

Calls

Call 1

Inputs
(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))

Outputs
(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify4.0ms (0.1%)

Memory

3.3MiB live, 3.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(/.f64 #s(literal 1 binary64) x)
cost-diff	0	(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
cost-diff	0	(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
cost-diff	0	(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	23
0	10	23
1	12	23
0	12	23

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x

Outputs
(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x

localize19.0ms (0.5%)

Memory

14.3MiB live, 14.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(/.f64 #s(literal 1 binary64) x)
accuracy	0.0	(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
accuracy	0.00390625	(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
accuracy	0.00390625	(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))

Samples

13.0ms

256×

valid

Compiler

Compiled 25 to 8 computations (68% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-log: 3.0ms (38.6% of total)

ival-div: 2.0ms (25.7% of total)

ival-sub: 1.0ms (12.9% of total)

ival-neg: 1.0ms (12.9% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0.1%)

Memory

1.5MiB live, 1.5MiB allocated

Counts

4 → 22

Calls

Call 1

Inputs
(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) x)

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

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	((neg (log (- (/ 1 x) 1))) (log (- (/ 1 x) 1)) (- (/ 1 x) 1) (/ 1 x))
1.0ms	x	@	-inf	((neg (log (- (/ 1 x) 1))) (log (- (/ 1 x) 1)) (- (/ 1 x) 1) (/ 1 x))
0.0ms	x	@	inf	((neg (log (- (/ 1 x) 1))) (log (- (/ 1 x) 1)) (- (/ 1 x) 1) (/ 1 x))

Time

Variable

Point

Expression

1.0ms

((neg (log (- (/ 1 x) 1))) (log (- (/ 1 x) 1)) (- (/ 1 x) 1) (/ 1 x))

1.0ms

-inf

((neg (log (- (/ 1 x) 1))) (log (- (/ 1 x) 1)) (- (/ 1 x) 1) (/ 1 x))

0.0ms

inf

((neg (log (- (/ 1 x) 1))) (log (- (/ 1 x) 1)) (- (/ 1 x) 1) (/ 1 x))

simplify150.0ms (4%)

Memory

11.3MiB live, 146.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	194
1	212	169
2	614	169
3	1918	169
4	4582	169
5	6409	169
6	7865	169
0	8222	161

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 22

Calls

Call 1

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

Outputs
(log x)
(log.f64 x)
(- x (* -1 (log x)))
(+.f64 (log.f64 x) x)
(- (* x (+ 1 (* 1/2 x))) (* -1 (log x)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))
(- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x (log.f64 x))
(* -1 (log x))
(neg.f64 (log.f64 x))
(+ (* -1 x) (* -1 (log x)))
(neg.f64 (+.f64 (log.f64 x) x))
(+ (* -1 (log x)) (* x (- (* -1/2 x) 1)))
(neg.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)))
(+ (* -1 (log x)) (* x (- (* x (- (* -1/3 x) 1/2)) 1)))
(neg.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x (log.f64 x)))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* -1 x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) x) x)
(* -1 (log -1))
(neg.f64 (log.f64 #s(literal -1 binary64)))
(- (/ 1 x) (log -1))
(-.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 #s(literal -1 binary64)))
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1))
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) x) (log.f64 #s(literal -1 binary64)))
(- (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (log -1))
(-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) x) (log.f64 #s(literal -1 binary64)))
(log -1)
(log.f64 #s(literal -1 binary64))
(- (log -1) (/ 1 x))
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
(+ (log -1) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) x))
(- (+ (log -1) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2)))) (/ 1 x))
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) x))
-1
#s(literal -1 binary64)
(- (/ 1 x) 1)
(/.f64 (-.f64 #s(literal 1 binary64) x) x)
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1))
(-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) x) (log.f64 #s(literal -1 binary64)))
(+ (log -1) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x)))
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) x))

rewrite168.0ms (4.4%)

Memory

32.0MiB live, 164.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	21
0	10	21
1	33	21
2	181	21
3	2009	21
0	9222	18

Stop Event

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

Counts

4 → 284

Calls

Call 1

Inputs
(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) x)

Outputs
(*.f64 #s(literal -1 binary64) (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))
(*.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (log.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64))) (pow.f64 (log1p.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64))) (+.f64 (log.f64 #s(literal -1 binary64)) (log1p.f64 (pow.f64 x #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64)) (+.f64 (pow.f64 (log1p.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (log.f64 #s(literal -1 binary64)) (log1p.f64 (pow.f64 x #s(literal -1 binary64)))))))
(/.f64 (+.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (log1p.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (neg.f64 (log.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)))) (log1p.f64 (pow.f64 x #s(literal -1 binary64)))))))
(/.f64 (+.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 x))) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 x))) x)) #s(literal 2 binary64)) (*.f64 (neg.f64 (log.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64)) #s(literal 0 binary64)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64))) (-.f64 (neg.f64 (log.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)))) (log1p.f64 (pow.f64 x #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 x))) x)) #s(literal 2 binary64))) (-.f64 (neg.f64 (log.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64)) #s(literal 0 binary64))))
(neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))
(fma.f64 #s(literal -1 binary64) (log.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (log1p.f64 (pow.f64 x #s(literal -1 binary64))))
(fma.f64 #s(literal -1 binary64) (log.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64))) (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 x))) x)))
(fma.f64 #s(literal -1 binary64) (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 0 binary64))
(fma.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal -1 binary64) #s(literal 0 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))) (/.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64)) #s(literal 0 binary64)))) (/.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64)) #s(literal 0 binary64)))))
(-.f64 (log.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal -2 binary64)) (expm1.f64 (neg.f64 (log.f64 x)))))) (log.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64))))
(-.f64 (log.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))))) (log1p.f64 (pow.f64 x #s(literal -1 binary64))))
(-.f64 (log.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -3 binary64))))) (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 x))) x)))
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(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal -6 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -3 binary64)))) (-.f64 (pow.f64 x #s(literal -2 binary64)) (expm1.f64 (neg.f64 (log.f64 x))))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -3 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal -2 binary64)) (expm1.f64 (neg.f64 (log.f64 x))))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal -9 binary64)) (+.f64 (+.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -3 binary64)))) (-.f64 (pow.f64 x #s(literal -2 binary64)) (expm1.f64 (neg.f64 (log.f64 x))))) (/.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -3 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal -2 binary64)) (expm1.f64 (neg.f64 (log.f64 x))))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (+.f64 (pow.f64 x #s(literal -2 binary64)) (expm1.f64 (neg.f64 (log.f64 x))))) #s(literal 1 binary64)) (/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (expm1.f64 (neg.f64 (log.f64 x)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 (log.f64 x)))))
(-.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (+.f64 (pow.f64 x #s(literal -2 binary64)) (expm1.f64 (neg.f64 (log.f64 x))))) (pow.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal -1 binary64)))
(-.f64 (pow.f64 (expm1.f64 (neg.f64 (log.f64 x))) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal -2 binary64)) (expm1.f64 (neg.f64 (log.f64 x)))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal -2 binary64)) (expm1.f64 (neg.f64 (log.f64 x))))) (/.f64 (pow.f64 x #s(literal -3 binary64)) (+.f64 (pow.f64 x #s(literal -2 binary64)) (expm1.f64 (neg.f64 (log.f64 x))))))
(+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))
(+.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (expm1.f64 (neg.f64 (log.f64 x)))) (pow.f64 (expm1.f64 (neg.f64 (log.f64 x))) #s(literal -1 binary64)))
(+.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (+.f64 (pow.f64 x #s(literal -2 binary64)) (expm1.f64 (neg.f64 (log.f64 x))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal -2 binary64)) (expm1.f64 (neg.f64 (log.f64 x))))))
(+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64)))
(+.f64 (pow.f64 (expm1.f64 (neg.f64 (log.f64 x))) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal -2 binary64)) (expm1.f64 (neg.f64 (log.f64 x)))))
(*.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64)))) (neg.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64)))))
(.f64 (fabs.f64 (.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1/2 binary64)))) (pow.f64 x #s(literal -1/2 binary64)))
(.f64 (fabs.f64 (.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64)))) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal -3/2 binary64))) (sqrt.f64 (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal -1/2 binary64))) (sqrt.f64 (pow.f64 x #s(literal -3/2 binary64))))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal -1/2 binary64))) (sqrt.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fabs.f64 x) #s(literal -1/2 binary64)) (pow.f64 (fabs.f64 x) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 x) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) (neg.f64 (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))
(*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(.f64 (pow.f64 x #s(literal -1/2 binary64)) (fabs.f64 (.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(.f64 (pow.f64 x #s(literal -1/2 binary64)) (fabs.f64 (.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 (pow.f64 x #s(literal -1/2 binary64)) (.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 x #s(literal -1/2 binary64)) (.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 x))
(pow.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal -1 binary64))
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 x) #s(literal -1 binary64))
(pow.f64 x #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (cosh.f64 (log.f64 x)) (cosh.f64 (log.f64 x))) (.f64 (sinh.f64 (neg.f64 (log.f64 x))) (sinh.f64 (neg.f64 (log.f64 x))))) (-.f64 (cosh.f64 (log.f64 x)) (sinh.f64 (neg.f64 (log.f64 x)))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 x)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (neg.f64 (log.f64 x))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (log.f64 x)) (cosh.f64 (log.f64 x)) (-.f64 (.f64 (sinh.f64 (neg.f64 (log.f64 x))) (sinh.f64 (neg.f64 (log.f64 x)))) (.f64 (cosh.f64 (log.f64 x)) (sinh.f64 (neg.f64 (log.f64 x)))))))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 (neg.f64 x) x)))
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (exp.f64 (log.f64 (neg.f64 x))))
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 (neg.f64 x)))
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))
(/.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 x))
(/.f64 #s(literal -1 binary64) x)
(/.f64 #s(literal 1 binary64) (fabs.f64 (fabs.f64 x)))
(/.f64 #s(literal 1 binary64) (fabs.f64 x))
(/.f64 #s(literal 1 binary64) (neg.f64 x))
(/.f64 #s(literal 1 binary64) x)
(neg.f64 (pow.f64 x #s(literal -1 binary64)))
(sqrt.f64 (pow.f64 x #s(literal -2 binary64)))
(-.f64 (cosh.f64 (log.f64 x)) (sinh.f64 (log.f64 x)))
(fabs.f64 (pow.f64 x #s(literal -1 binary64)))
(exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal -1/2 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal -1/2 binary64)))
(exp.f64 (neg.f64 (log.f64 x)))
(+.f64 (cosh.f64 (log.f64 x)) (sinh.f64 (neg.f64 (log.f64 x))))

eval63.0ms (1.7%)

Memory: -49.3MiB live, 100.1MiB allocated
Compiler: Compiled 6 435 to 1 235 computations (80.8% saved)

prune5.0ms (0.1%)

Memory

20.9MiB live, 20.9MiB allocated

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	300	3	303
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	300	4	304

Accuracy

100.0%

Counts

304 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
▶	99.7%	#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)))
▶	99.6%	#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x))
▶	99.1%	#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x))

Compiler

Compiled 45 to 35 computations (22.2% saved)

simplify17.0ms (0.5%)

Memory

-5.7MiB live, 39.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(log.f64 x)
cost-diff	0	(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
cost-diff	0	(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))
cost-diff	0	#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)))
cost-diff	0	(log.f64 x)
cost-diff	0	(+.f64 (log.f64 x) x)
cost-diff	0	#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x))
cost-diff	0	(log.f64 x)
cost-diff	0	#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	65
0	20	65
1	27	65
2	47	65
3	112	65
4	253	65
5	390	65
6	537	65
7	729	65
8	739	65
0	739	65

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x))
(log.f64 x)
x
#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x))
(+.f64 (log.f64 x) x)
(log.f64 x)
x
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
#s(literal 1/2 binary64)
x
#s(literal 1 binary64)
(log.f64 x)

Outputs
#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x))
(log.f64 x)
x
#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x))
(+.f64 (log.f64 x) x)
(log.f64 x)
x
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
#s(literal 1/2 binary64)
x
#s(literal 1 binary64)
(log.f64 x)

localize109.0ms (2.9%)

Memory

-34.3MiB live, 83.0MiB allocated

Localize:

Found 9 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
accuracy	0.0	(log.f64 x)
accuracy	0.00390625	(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))
accuracy	0.1727339429674957	#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)))
accuracy	0.0	(log.f64 x)
accuracy	0.00390625	(+.f64 (log.f64 x) x)
accuracy	0.24745526407149007	#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x))
accuracy	0.0	(log.f64 x)
accuracy	0.5454875727792277	#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x))

Samples

40.0ms

256×

valid

Compiler

Compiled 53 to 15 computations (71.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-log: 6.0ms (36% of total)

ival-add: 3.0ms (18% of total)

ival-mult: 3.0ms (18% of total)

ival-div: 2.0ms (12% of total)

ival-sub: 1.0ms (6% of total)

ival-neg: 1.0ms (6% of total)

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

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

exact: 0.0ms (0% of total)

series56.0ms (1.5%)

Memory

7.6MiB live, 94.8MiB allocated

Counts

7 → 24

Calls

Call 1

Inputs
#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x))
(log.f64 x)
#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x))
(+.f64 (log.f64 x) x)
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))

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

Calls

3 calls:

Time	Variable		Point	Expression
28.0ms	x	@	0	((neg (log (- (/ 1 x) 1))) (log x) (neg (log (- (/ 1 x) 1))) (+ (log x) x) (neg (log (- (/ 1 x) 1))) (+ (* (+ (* 1/2 x) 1) x) (log x)) (+ (* 1/2 x) 1))
21.0ms	x	@	-inf	((neg (log (- (/ 1 x) 1))) (log x) (neg (log (- (/ 1 x) 1))) (+ (log x) x) (neg (log (- (/ 1 x) 1))) (+ (* (+ (* 1/2 x) 1) x) (log x)) (+ (* 1/2 x) 1))
7.0ms	x	@	inf	((neg (log (- (/ 1 x) 1))) (log x) (neg (log (- (/ 1 x) 1))) (+ (log x) x) (neg (log (- (/ 1 x) 1))) (+ (* (+ (* 1/2 x) 1) x) (log x)) (+ (* 1/2 x) 1))

Time

Variable

Point

Expression

28.0ms

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

21.0ms

-inf

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

7.0ms

inf

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

simplify127.0ms (3.4%)

Memory

19.2MiB live, 119.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	199
1	230	186
2	642	180
3	2732	170
0	8091	158

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 23

Calls

Call 1

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

Outputs
(log x)
(log.f64 x)
(- x (* -1 (log x)))
(+.f64 (log.f64 x) x)
(- (* x (+ 1 (* 1/2 x))) (* -1 (log x)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))
(- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x (log.f64 x))
(+ x (log x))
(+.f64 (log.f64 x) x)
(+ (log x) (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(* -1 (log -1))
(neg.f64 (log.f64 #s(literal -1 binary64)))
(- (/ 1 x) (log -1))
(-.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 #s(literal -1 binary64)))
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1))
(-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) x) (*.f64 x x)) (log.f64 #s(literal -1 binary64)))
(- (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (log -1))
(-.f64 (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) (*.f64 x x)) (log.f64 #s(literal -1 binary64)))
(* -1 (log (/ 1 x)))
(log.f64 x)
x
(* x (+ 1 (* -1 (/ (log (/ 1 x)) x))))
(+.f64 (log.f64 x) x)
(* 1/2 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (/ 1 x)))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1))
(-.f64 (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) (*.f64 x x)) (log.f64 #s(literal -1 binary64)))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(* -1 (* x (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1)))
(*.f64 (neg.f64 (-.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1 binary64))) x)) #s(literal 1 binary64))
(* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) x (-.f64 (/.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1 binary64))) x) #s(literal 1 binary64))))

rewrite236.0ms (6.2%)

Memory

2.4MiB live, 191.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	56
0	20	56
1	80	56
2	562	56
3	6657	56
0	8407	53

Stop Event

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

Counts

7 → 192

Calls

Call 1

Inputs
#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x))
(log.f64 x)
#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x))
(+.f64 (log.f64 x) x)
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))

Outputs
#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x))
(+.f64 #s(literal 0 binary64) (log.f64 x))
(+.f64 (log.f64 x) #s(literal 0 binary64))
(log.f64 x)
#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x))
(*.f64 (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (log.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (+.f64 (log.f64 x) x) (pow.f64 (log.f64 x) #s(literal 2 binary64))))
(.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (-.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 x (log.f64 x)) x) #s(literal 2 binary64)))) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (-.f64 x (log.f64 x)) x)))
(.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (-.f64 x (log.f64 x)) x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64)))) (fma.f64 (.f64 (-.f64 x (log.f64 x)) x) (-.f64 (.f64 (-.f64 x (log.f64 x)) x) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (pow.f64 (log.f64 x) #s(literal 4 binary64))))
(*.f64 (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (log.f64 x) #s(literal 2 binary64))) (fma.f64 (neg.f64 x) x (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (+.f64 (log.f64 x) x))
(*.f64 (fma.f64 (-.f64 x (log.f64 x)) x (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (+.f64 (log.f64 x) x) (fma.f64 (-.f64 x (log.f64 x)) x (pow.f64 (log.f64 x) #s(literal 2 binary64)))))
(*.f64 (+.f64 (log.f64 x) x) (/.f64 (-.f64 (log.f64 x) x) (-.f64 (log.f64 x) x)))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 (log.f64 x) x)) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 (log.f64 x) x))) (.f64 (.f64 x (/.f64 x (-.f64 (log.f64 x) x))) (.f64 x (/.f64 x (-.f64 (log.f64 x) x))))) (fma.f64 (log.f64 x) (/.f64 (log.f64 x) (-.f64 (log.f64 x) x)) (*.f64 x (/.f64 x (-.f64 (log.f64 x) x)))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (-.f64 x (log.f64 x)) x (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (-.f64 x (log.f64 x)) x (pow.f64 (log.f64 x) #s(literal 2 binary64))))) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x (log.f64 x)) x (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x (log.f64 x)) x (pow.f64 (log.f64 x) #s(literal 2 binary64)))))) (-.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (-.f64 x (log.f64 x)) x (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x (log.f64 x)) x (pow.f64 (log.f64 x) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 (log.f64 x) x)) #s(literal 3 binary64)) (pow.f64 (.f64 x (/.f64 x (-.f64 (log.f64 x) x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 (log.f64 x) x)) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 (log.f64 x) x)) (fma.f64 (.f64 x (/.f64 x (-.f64 (log.f64 x) x))) (.f64 x (/.f64 x (-.f64 (log.f64 x) x))) (.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 (log.f64 x) x)) (*.f64 x (/.f64 x (-.f64 (log.f64 x) x)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (-.f64 x (log.f64 x)) x (pow.f64 (log.f64 x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x (log.f64 x)) x (pow.f64 (log.f64 x) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (-.f64 x (log.f64 x)) x (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (-.f64 x (log.f64 x)) x (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (-.f64 (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x (log.f64 x)) x (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x (log.f64 x)) x (pow.f64 (log.f64 x) #s(literal 2 binary64))))) (.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (-.f64 x (log.f64 x)) x (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x (log.f64 x)) x (pow.f64 (log.f64 x) #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (log.f64 x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (neg.f64 x) x (pow.f64 (log.f64 x) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (log.f64 x) x))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (-.f64 x (log.f64 x)) x (pow.f64 (log.f64 x) #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 (log.f64 x) x)) (.f64 (-.f64 (log.f64 x) x) (.f64 x x))) (.f64 (-.f64 (log.f64 x) x) (-.f64 (log.f64 x) x)))
(/.f64 (fma.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (-.f64 x (log.f64 x)) x (pow.f64 (log.f64 x) #s(literal 2 binary64))) (.f64 (fma.f64 (-.f64 x (log.f64 x)) x (pow.f64 (log.f64 x) #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64)))) (.f64 (fma.f64 (-.f64 x (log.f64 x)) x (pow.f64 (log.f64 x) #s(literal 2 binary64))) (fma.f64 (-.f64 x (log.f64 x)) x (pow.f64 (log.f64 x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (fma.f64 x x (pow.f64 (log.f64 x) #s(literal 2 binary64))) (-.f64 (log.f64 x) x)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (-.f64 x (log.f64 x)))
(/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (.f64 (fma.f64 (.f64 x x) (fma.f64 x x (pow.f64 (log.f64 x) #s(literal 2 binary64))) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (-.f64 (log.f64 x) x)))
(/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 x (log.f64 x)) x (pow.f64 (log.f64 x) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (log.f64 x) #s(literal 9 binary64))) (.f64 (-.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (.f64 (log.f64 x) x) #s(literal 3 binary64))) (fma.f64 (-.f64 x (log.f64 x)) x (pow.f64 (log.f64 x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (neg.f64 x) x (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (neg.f64 (-.f64 (log.f64 x) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 x (log.f64 x)) x (pow.f64 (log.f64 x) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (log.f64 x) #s(literal 2 binary64))) (-.f64 (log.f64 x) x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (fma.f64 (-.f64 x (log.f64 x)) x (pow.f64 (log.f64 x) #s(literal 2 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (neg.f64 x) x (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (-.f64 (log.f64 x) x)))
(neg.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (fma.f64 (-.f64 x (log.f64 x)) x (pow.f64 (log.f64 x) #s(literal 2 binary64)))))
(neg.f64 (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (log.f64 x) #s(literal 2 binary64))) (neg.f64 (-.f64 (log.f64 x) x))))
(neg.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 x (log.f64 x)) x (pow.f64 (log.f64 x) #s(literal 2 binary64))))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 x (log.f64 x)) x) #s(literal 2 binary64)))) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 (-.f64 x (log.f64 x)) x)) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (-.f64 x (log.f64 x)) x (pow.f64 (log.f64 x) #s(literal 2 binary64)))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (-.f64 x (log.f64 x)) x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64)))) (fma.f64 (.f64 (-.f64 x (log.f64 x)) x) (-.f64 (*.f64 (-.f64 x (log.f64 x)) x) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (-.f64 x (log.f64 x)) x (pow.f64 (log.f64 x) #s(literal 2 binary64)))))
(fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (+.f64 (log.f64 x) x) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 (log.f64 x) x)))
(fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) x (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (+.f64 (log.f64 x) x) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 (log.f64 x) x)))
(fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (-.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 x (log.f64 x)) x) #s(literal 2 binary64)))) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 (-.f64 x (log.f64 x)) x)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x (log.f64 x)) x (pow.f64 (log.f64 x) #s(literal 2 binary64)))))
(fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (-.f64 x (log.f64 x)) x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64)))) (fma.f64 (.f64 (-.f64 x (log.f64 x)) x) (-.f64 (*.f64 (-.f64 x (log.f64 x)) x) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x (log.f64 x)) x (pow.f64 (log.f64 x) #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (log.f64 x) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (log.f64 x) #s(literal 3/2 binary64)) (fma.f64 (-.f64 x (log.f64 x)) x (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x (log.f64 x)) x (pow.f64 (log.f64 x) #s(literal 2 binary64)))))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 (-.f64 x (log.f64 x)) x (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (-.f64 x (log.f64 x)) x (pow.f64 (log.f64 x) #s(literal 2 binary64)))))
(fma.f64 (neg.f64 (log.f64 x)) (/.f64 (neg.f64 (log.f64 x)) (-.f64 (log.f64 x) x)) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 (log.f64 x) x)))
(fma.f64 (fabs.f64 (log.f64 x)) (/.f64 (fabs.f64 (log.f64 x)) (-.f64 (log.f64 x) x)) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 (log.f64 x) x)))
(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 (-.f64 x (log.f64 x)) x (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (-.f64 x (log.f64 x)) x (pow.f64 (log.f64 x) #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 (log.f64 x) (fma.f64 (-.f64 x (log.f64 x)) x (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x (log.f64 x)) x (pow.f64 (log.f64 x) #s(literal 2 binary64)))))
(fma.f64 (log.f64 x) (/.f64 (log.f64 x) (-.f64 (log.f64 x) x)) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 (log.f64 x) x)))
(fma.f64 (log.f64 x) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (fma.f64 (-.f64 x (log.f64 x)) x (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x (log.f64 x)) x (pow.f64 (log.f64 x) #s(literal 2 binary64)))))
(fma.f64 x (/.f64 (*.f64 x x) (fma.f64 (-.f64 x (log.f64 x)) x (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (-.f64 x (log.f64 x)) x (pow.f64 (log.f64 x) #s(literal 2 binary64)))))
(fma.f64 x #s(literal 1 binary64) (log.f64 x))
(fma.f64 #s(literal 1 binary64) x (log.f64 x))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (log.f64 x))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 x (log.f64 x))))
(-.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 (log.f64 x) x)) (*.f64 x (/.f64 x (-.f64 (log.f64 x) x))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x (log.f64 x)) x (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (-.f64 x (log.f64 x)) x (pow.f64 (log.f64 x) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (-.f64 x (log.f64 x)) x (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x (log.f64 x)) x (pow.f64 (log.f64 x) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 (log.f64 x) x)) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 (log.f64 x) x)))
(+.f64 (log.f64 x) x)
(+.f64 x (log.f64 x))
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)))
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(fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))))
(-.f64 (.f64 (.f64 #s(literal 1/4 binary64) x) (/.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))) (pow.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))
(+.f64 (pow.f64 (fma.f64 x (-.f64 (.f64 #s(literal 1/4 binary64) x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) x) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(+.f64 (/.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 (.f64 #s(literal 1/4 binary64) x) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))

eval34.0ms (0.9%)

Memory: 23.8MiB live, 67.5MiB allocated
Compiler: Compiled 8 706 to 875 computations (89.9% saved)

prune39.0ms (1%)

Memory

-31.6MiB live, 15.0MiB allocated

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	217	1	218
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	217	5	222

Accuracy

100.0%

Counts

222 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
✓	99.7%	#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)))
✓	99.6%	#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x))
✓	99.1%	#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x))
▶	2.7%	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (.f64 x x) #s(literal 1/2 binary64))))

Compiler

Compiled 69 to 52 computations (24.6% saved)

simplify14.0ms (0.4%)

Memory

17.8MiB live, 17.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 (.f64 x x) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
cost-diff	0	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (.f64 x x) #s(literal 1/2 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	50
0	18	50
1	31	50
2	71	50
3	196	50
4	368	50
5	530	50
6	619	50
7	661	50
0	661	46

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (.f64 x x) #s(literal 1/2 binary64))))
#s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(*.f64 x x)
x
#s(literal 1/2 binary64)

Outputs
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (.f64 x x) #s(literal 1/2 binary64))))
#s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(*.f64 x x)
x
#s(literal 1/2 binary64)

localize45.0ms (1.2%)

Memory

-26.7MiB live, 72.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(.f64 (.f64 x x) #s(literal 1/2 binary64))
accuracy	0.0	(*.f64 x x)
accuracy	0.1727339429674957	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (.f64 x x) #s(literal 1/2 binary64))))
accuracy	62.29134809592454	#s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))

Samples

34.0ms

256×

valid

Compiler

Compiled 29 to 16 computations (44.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-mult: 6.0ms (30.2% of total)

ival-log: 6.0ms (30.2% of total)

ival-div: 3.0ms (15.1% of total)

ival-add: 2.0ms (10.1% of total)

ival-sub: 1.0ms (5% of total)

ival-neg: 1.0ms (5% of total)

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

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

exact: 0.0ms (0% of total)

series3.0ms (0.1%)

Memory

9.5MiB live, 9.5MiB allocated

Counts

4 → 16

Calls

Call 1

Inputs
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (.f64 x x) #s(literal 1/2 binary64))))
#s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(*.f64 x x)

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

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

-inf

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

1.0ms

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

1.0ms

inf

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

simplify178.0ms (4.7%)

Memory

36.8MiB live, 225.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	161
1	198	152
2	559	143
3	1891	136
4	5558	136
0	8192	126

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 16

Calls

Call 1

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

Outputs
(log x)
(log.f64 x)
(- x (* -1 (log x)))
(+.f64 (log.f64 x) x)
(- (* x (+ 1 (* 1/2 x))) (* -1 (log x)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))
(- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x (log.f64 x))
(+ x (log x))
(+.f64 (log.f64 x) x)
(+ (log x) (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))
(* 1/2 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(pow x 2)
(*.f64 x x)
(* -1 (log -1))
(neg.f64 (log.f64 #s(literal -1 binary64)))
(- (/ 1 x) (log -1))
(-.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 #s(literal -1 binary64)))
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1))
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x) (log.f64 #s(literal -1 binary64)))
(- (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (log -1))
(-.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) (log.f64 #s(literal -1 binary64)))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (log.f64 x) x)) x x)
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1))
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) #s(literal 1 binary64)) (neg.f64 x)) (log.f64 #s(literal -1 binary64)))
(* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) x (-.f64 (/.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1 binary64))) x) #s(literal 1 binary64))) (neg.f64 x))

rewrite185.0ms (4.9%)

Memory

8.3MiB live, 144.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	48
0	18	48
1	75	48
2	500	48
3	5675	48
0	8408	43

Stop Event

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

Counts

4 → 31

Calls

Call 1

Inputs
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (.f64 x x) #s(literal 1/2 binary64))))
#s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(*.f64 x x)

Outputs
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (.f64 x x) #s(literal 1/2 binary64))))
#s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal -1/2 binary64) x) (neg.f64 x))
(.f64 (neg.f64 x) (.f64 #s(literal -1/2 binary64) x))
(.f64 (.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) x) x)
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(.f64 x (.f64 #s(literal 1/2 binary64) x))
(.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(neg.f64 (.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 x) x)))
(neg.f64 (.f64 (.f64 (neg.f64 x) x) #s(literal 1/2 binary64)))
(neg.f64 (.f64 x (.f64 #s(literal -1/2 binary64) x)))
(neg.f64 (.f64 (.f64 #s(literal -1/2 binary64) x) x))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (.f64 (.f64 x x) (*.f64 x x)))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 x))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(+.f64 (cosh.f64 (.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64))))
(+.f64 (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))) (sinh.f64 (.f64 #s(literal 2 binary64) (log.f64 x))))

eval38.0ms (1%)

Memory: -31.1MiB live, 24.0MiB allocated
Compiler: Compiled 1 151 to 206 computations (82.1% saved)

prune5.0ms (0.1%)

Memory

9.8MiB live, 9.8MiB allocated

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	46	1	47
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	46	6	52

Accuracy

100.0%

Counts

52 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
✓	99.7%	#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)))
✓	99.6%	#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x))
✓	99.1%	#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x))
✓	2.7%	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (.f64 x x) #s(literal 1/2 binary64))))
▶	2.8%	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (sqrt.f64 (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/2 binary64))))

Compiler

Compiled 98 to 71 computations (27.6% saved)

simplify26.0ms (0.7%)

Memory

-22.3MiB live, 21.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (sqrt.f64 (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/2 binary64)))
cost-diff	0	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (sqrt.f64 (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/2 binary64))))
cost-diff	1	(sqrt.f64 (.f64 (.f64 x x) (*.f64 x x)))
cost-diff	4	(.f64 (.f64 x x) (*.f64 x x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	80
0	22	63
1	42	58
2	112	56
3	321	56
4	588	56
5	812	56
6	893	56
7	915	56
8	917	56
9	917	56
0	917	52

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (sqrt.f64 (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/2 binary64))))
#s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (sqrt.f64 (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/2 binary64))
(sqrt.f64 (.f64 (.f64 x x) (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 x x))
(*.f64 x x)
x
#s(literal 1/2 binary64)

Outputs
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (sqrt.f64 (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/2 binary64))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (.f64 x x) #s(literal 1/2 binary64))))
#s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (sqrt.f64 (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/2 binary64))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(sqrt.f64 (.f64 (.f64 x x) (*.f64 x x)))
(*.f64 x x)
(.f64 (.f64 x x) (*.f64 x x))
(pow.f64 x #s(literal 4 binary64))
(*.f64 x x)
x
#s(literal 1/2 binary64)

localize58.0ms (1.5%)

Memory

6.1MiB live, 51.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.12890625	(.f64 (.f64 x x) (*.f64 x x))
accuracy	0.1727339429674957	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (sqrt.f64 (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/2 binary64))))
accuracy	16.30984639394003	(sqrt.f64 (.f64 (.f64 x x) (*.f64 x x)))
accuracy	62.29134809592454	#s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (sqrt.f64 (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/2 binary64)))

Samples

50.0ms

256×

valid

Compiler

Compiled 49 to 18 computations (63.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-log: 28.0ms (64.5% of total)

ival-mult: 7.0ms (16.1% of total)

ival-div: 2.0ms (4.6% of total)

ival-add: 2.0ms (4.6% of total)

ival-sqrt: 2.0ms (4.6% of total)

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

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

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

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

exact: 0.0ms (0% of total)

series3.0ms (0.1%)

Memory

5.0MiB live, 5.0MiB allocated

Counts

4 → 17

Calls

Call 1

Inputs
(.f64 (.f64 x x) (*.f64 x x))
(sqrt.f64 (.f64 (.f64 x x) (*.f64 x x)))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (sqrt.f64 (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/2 binary64))))
#s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (sqrt.f64 (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/2 binary64)))

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

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

-inf

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

1.0ms

inf

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

1.0ms

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

simplify128.0ms (3.4%)

Memory

31.2MiB live, 127.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	164
1	200	155
2	563	146
3	1896	139
4	5555	139
0	8187	129

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 17

Calls

Call 1

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

Outputs
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 2)
(*.f64 x x)
(log x)
(log.f64 x)
(- x (* -1 (log x)))
(+.f64 (log.f64 x) x)
(- (* x (+ 1 (* 1/2 x))) (* -1 (log x)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))
(- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x (log.f64 x))
(+ x (log x))
(+.f64 (log.f64 x) x)
(+ (log x) (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))
(* -1 (log -1))
(neg.f64 (log.f64 #s(literal -1 binary64)))
(- (/ 1 x) (log -1))
(-.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 #s(literal -1 binary64)))
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1))
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x) (log.f64 #s(literal -1 binary64)))
(- (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (log -1))
(-.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) (log.f64 #s(literal -1 binary64)))
(* 1/2 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (log.f64 x) x)) x x)
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1))
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) #s(literal 1 binary64)) (neg.f64 x)) (log.f64 #s(literal -1 binary64)))
(* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) x (-.f64 (/.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1 binary64))) x) #s(literal 1 binary64))) (neg.f64 x))

rewrite166.0ms (4.4%)

Memory

-39.3MiB live, 194.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	65
0	22	51
1	90	46
2	605	46
3	6777	46
0	8454	41

Stop Event

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

Counts

4 → 54

Calls

Call 1

Inputs
(.f64 (.f64 x x) (*.f64 x x))
(sqrt.f64 (.f64 (.f64 x x) (*.f64 x x)))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (sqrt.f64 (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/2 binary64))))
#s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (sqrt.f64 (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/2 binary64)))

Outputs
(.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (.f64 (*.f64 x x) (pow.f64 x #s(literal 3/2 binary64))) (sqrt.f64 x))
(.f64 (.f64 (*.f64 x x) (sqrt.f64 x)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) x)
(.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (sqrt.f64 x) (*.f64 x x)))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3 binary64))))
(.f64 (sqrt.f64 x) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 x x)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) x)
(.f64 (.f64 x x) (*.f64 x x))
(*.f64 x (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(*.f64 x (pow.f64 x #s(literal 3 binary64)))
(pow.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 x x) #s(literal 2 binary64))
(pow.f64 x #s(literal 4 binary64))
(neg.f64 (pow.f64 x #s(literal 4 binary64)))
(sqrt.f64 (pow.f64 x #s(literal 8 binary64)))
(fabs.f64 (pow.f64 x #s(literal 4 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 8 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))
(exp.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)))
(+.f64 (cosh.f64 (.f64 (.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal 1 binary64))) (sinh.f64 (.f64 (.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal 1 binary64))))
(+.f64 (cosh.f64 (.f64 (log.f64 (pow.f64 x #s(literal 8 binary64))) #s(literal 1/2 binary64))) (sinh.f64 (.f64 (log.f64 (pow.f64 x #s(literal 8 binary64))) #s(literal 1/2 binary64))))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))))
(+.f64 (cosh.f64 (.f64 #s(literal 4 binary64) (log.f64 x))) (sinh.f64 (.f64 #s(literal 4 binary64) (log.f64 x))))
(*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (sqrt.f64 x))
(*.f64 (neg.f64 (sqrt.f64 x)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (fabs.f64 (pow.f64 x #s(literal 3/2 binary64))) (sqrt.f64 x))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (neg.f64 (sqrt.f64 x)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (neg.f64 (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (sqrt.f64 x) (fabs.f64 (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 x x))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (*.f64 x x))
(exp.f64 (/.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(+.f64 (cosh.f64 (/.f64 (.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal 2 binary64))) (sinh.f64 (/.f64 (.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal 2 binary64))))
(+.f64 (cosh.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64))) (sinh.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64))))
(+.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (log.f64 x))) (sinh.f64 (.f64 #s(literal 2 binary64) (log.f64 x))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (.f64 #s(literal -1/2 binary64) x) x)))
#s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (.f64 #s(literal -1/2 binary64) x) x))

eval8.0ms (0.2%)

Memory: 22.4MiB live, 22.4MiB allocated
Compiler: Compiled 1 915 to 365 computations (80.9% saved)

prune5.0ms (0.1%)

Memory

6.5MiB live, 6.5MiB allocated

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	70	1	71
Fresh	0	0	0
Picked	1	0	1
Done	1	4	5
Total	72	5	77

Accuracy

100.0%

Counts

77 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
✓	99.7%	#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)))
✓	99.6%	#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x))
✓	99.1%	#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x))
	4.1%	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (.f64 #s(literal -1/2 binary64) x) x)))

Compiler

Compiled 191 to 91 computations (52.4% saved)

regimes13.0ms (0.3%)

Memory

14.4MiB live, 14.4MiB allocated

Counts

7 → 1

Calls

Call 1

Inputs
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (.f64 #s(literal -1/2 binary64) x) x)))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (.f64 x x) #s(literal 1/2 binary64))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (sqrt.f64 (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/2 binary64))))
#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x))
#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x))
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)))
(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))

Outputs
(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))

Calls

5 calls:

2.0ms	(/.f64 #s(literal 1 binary64) x)
2.0ms	(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
2.0ms	(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
2.0ms	x
2.0ms	(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
100.0%	1	`(/.f64 #s(literal 1 binary64) x)`
100.0%	1	`(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))`
100.0%	1	`(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))`
100.0%	1	`(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))`
100.0%	1	`x`

Compiler

Compiled 22 to 19 computations (13.6% saved)

regimes39.0ms (1%)

Memory

-33.2MiB live, 13.8MiB allocated

Counts

6 → 1

Calls

Call 1

Inputs
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (.f64 #s(literal -1/2 binary64) x) x)))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (.f64 x x) #s(literal 1/2 binary64))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (sqrt.f64 (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/2 binary64))))
#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x))
#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x))
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)))

Outputs
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)))

Calls

5 calls:

29.0ms	(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
2.0ms	(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
2.0ms	(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
2.0ms	(/.f64 #s(literal 1 binary64) x)
2.0ms	x

Results

Accuracy	Segments	Branch
99.7%	1	`(/.f64 #s(literal 1 binary64) x)`
99.7%	1	`(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))`
99.7%	1	`(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))`
99.7%	1	`(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))`
99.7%	1	`x`

Compiler

Compiled 22 to 19 computations (13.6% saved)

regimes11.0ms (0.3%)

Memory

12.7MiB live, 12.7MiB allocated

Counts

5 → 1

Calls

Call 1

Inputs
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (.f64 #s(literal -1/2 binary64) x) x)))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (.f64 x x) #s(literal 1/2 binary64))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (sqrt.f64 (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/2 binary64))))
#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x))
#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x))

Outputs
#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x))

Calls

5 calls:

2.0ms	(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
2.0ms	(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
2.0ms	(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
2.0ms	(/.f64 #s(literal 1 binary64) x)
2.0ms	x

Results

Accuracy	Segments	Branch
99.6%	1	`(/.f64 #s(literal 1 binary64) x)`
99.6%	1	`(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))`
99.6%	1	`(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))`
99.6%	1	`(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))`
99.6%	1	`x`

Compiler

Compiled 22 to 19 computations (13.6% saved)

regimes10.0ms (0.3%)

Memory

12.0MiB live, 12.0MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (.f64 #s(literal -1/2 binary64) x) x)))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (.f64 x x) #s(literal 1/2 binary64))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (sqrt.f64 (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/2 binary64))))
#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x))

Outputs
#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x))

Calls

5 calls:

2.0ms	(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
2.0ms	(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
2.0ms	(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
2.0ms	(/.f64 #s(literal 1 binary64) x)
2.0ms	x

Results

Accuracy	Segments	Branch
99.1%	1	`(/.f64 #s(literal 1 binary64) x)`
99.1%	1	`(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))`
99.1%	1	`(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))`
99.1%	1	`(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))`
99.1%	1	`x`

Compiler

Compiled 22 to 19 computations (13.6% saved)

regimes8.0ms (0.2%)

Memory

11.1MiB live, 11.1MiB allocated

Accuracy

Total -0.9b remaining (-1.5%)

Threshold costs -0.9b (-1.5%)

Counts

3 → 1

Calls

Call 1

Inputs

#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 #s(literal -1/2 binary64) x) x)))

#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))

#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (sqrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/2 binary64))))

Outputs
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (.f64 #s(literal -1/2 binary64) x) x)))

Calls

5 calls:

2.0ms	(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
2.0ms	(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
2.0ms	(/.f64 #s(literal 1 binary64) x)
1.0ms	(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
1.0ms	x

Results

Accuracy	Segments	Branch
4.1%	1	`(/.f64 #s(literal 1 binary64) x)`
4.1%	1	`(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))`
4.1%	1	`(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))`
4.1%	1	`(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))`
4.1%	1	`x`

Compiler

Compiled 22 to 19 computations (13.6% saved)

simplify48.0ms (1.3%)

Memory

-15.5MiB live, 31.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	69
1	41	69
2	64	69
3	134	69
4	298	69
5	554	69
6	767	69
7	1090	69
8	1130	69
9	1160	69
10	1193	69

Stop Event

1×

saturated

Calls

Call 1

Inputs
(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)))
#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x))
#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (.f64 #s(literal -1/2 binary64) x) x)))

Outputs
(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(neg.f64 (log.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)))
#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x))
#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (.f64 #s(literal -1/2 binary64) x) x)))

soundness657.0ms (17.3%)

Memory

13.3MiB live, 483.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	65
0	22	51
1	90	46
2	605	46
3	6777	46
0	8454	41
0	16	48
0	18	48
1	75	48
2	500	48
3	5675	48
0	8408	43
0	72	199
1	230	186
2	642	180
3	2732	170
0	8091	158
0	75	194
1	212	169
2	614	169
3	1918	169
4	4582	169
5	6409	169
6	7865	169
0	8222	161

Stop Event

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

Compiler

Compiled 128 to 73 computations (43% saved)

preprocess31.0ms (0.8%)

Memory: -26.9MiB live, 65.7MiB allocated
Compiler: Compiled 152 to 74 computations (51.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	14	65
0	20	65
1	27	65
2	47	65
3	112	65
4	253	65
5	390	65
6	537	65
7	729	65
8	739	65
0	739	65

Iter	Nodes	Cost
0	18	80
0	22	63
1	42	58
2	112	56
3	321	56
4	588	56
5	812	56
6	893	56
7	915	56
8	917	56
9	917	56
0	917	52

Iter	Nodes	Cost
0	14	65
0	20	65
1	27	65
2	47	65
3	112	65
4	253	65
5	390	65
6	537	65
7	729	65
8	739	65
0	739	65

Iter	Nodes	Cost
0	18	80
0	22	63
1	42	58
2	112	56
3	321	56
4	588	56
5	812	56
6	893	56
7	915	56
8	917	56
9	917	56
0	917	52

start0.0ms (0%)

analyze2.0ms (0.1%)

sample963.0ms (25.4%)

explain72.0ms (1.9%)

preprocess42.0ms (1.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify4.0ms (0.1%)

localize19.0ms (0.5%)

series2.0ms (0.1%)

simplify150.0ms (4%)

rewrite168.0ms (4.4%)

eval63.0ms (1.7%)

prune5.0ms (0.1%)

simplify17.0ms (0.5%)

localize109.0ms (2.9%)

series56.0ms (1.5%)

simplify127.0ms (3.4%)

rewrite236.0ms (6.2%)

eval34.0ms (0.9%)

prune39.0ms (1%)

simplify14.0ms (0.4%)

localize45.0ms (1.2%)

series3.0ms (0.1%)

simplify178.0ms (4.7%)

rewrite185.0ms (4.9%)

eval38.0ms (1%)

prune5.0ms (0.1%)

simplify26.0ms (0.7%)

localize58.0ms (1.5%)

series3.0ms (0.1%)

simplify128.0ms (3.4%)

rewrite166.0ms (4.4%)

eval8.0ms (0.2%)

prune5.0ms (0.1%)

regimes13.0ms (0.3%)

regimes39.0ms (1%)

regimes11.0ms (0.3%)

regimes10.0ms (0.3%)

regimes8.0ms (0.2%)

simplify48.0ms (1.3%)

soundness657.0ms (17.3%)

preprocess31.0ms (0.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	14	65
0	20	65
1	27	65
2	47	65
3	112	65
4	253	65
5	390	65
6	537	65
7	729	65
8	739	65
0	739	65

Iter	Nodes	Cost
0	18	80
0	22	63
1	42	58
2	112	56
3	321	56
4	588	56
5	812	56
6	893	56
7	915	56
8	917	56
9	917	56
0	917	52