Metrics for Hyperbolic arc-(co)tangent

start0.0ms (0%)

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

analyze3.0ms (0%)

Memory

5.5MiB live, 5.5MiB allocated; 0ms collecting garbage

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
50%	25%	25%	0%	0%	50%	0%	4
75%	37.5%	12.5%	0%	0%	50%	0%	5
87.5%	43.7%	6.2%	0%	0%	50%	0%	6
93.8%	46.9%	3.1%	0%	0%	50%	0%	7
96.9%	48.4%	1.6%	0%	0%	50%	0%	8
98.4%	49.2%	0.8%	0%	0%	50%	0%	9
99.2%	49.6%	0.4%	0%	0%	50%	0%	10
99.6%	49.8%	0.2%	0%	0%	50%	0%	11
99.8%	49.9%	0.1%	0%	0%	50%	0%	12

Compiler

Compiled 14 to 11 computations (21.4% saved)

sample3.8s (44.9%)

Memory

49.2MiB live, 4 502.2MiB allocated; 778ms collecting garbage

Samples

1.9s	3 241×	2	valid
1.3s	4 841×	1	valid
11.0ms	174×	0	valid
0.0ms	2×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 2.8s

ival-log: 1.6s (56.1% of total)

adjust: 502.0ms (17.8% of total)

ival-div: 249.0ms (8.8% of total)

ival-add: 207.0ms (7.4% of total)

ival-mult: 134.0ms (4.8% of total)

ival-sub: 124.0ms (4.4% of total)

exact: 9.0ms (0.3% of total)

ival-true: 6.0ms (0.2% of total)

ival-assert: 4.0ms (0.1% of total)

Bogosity

explain272.0ms (3.2%)

Memory

-34.2MiB live, 154.9MiB allocated; 51ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
253	-	-	`(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))`
0	-	-	`(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(-.f64 #s(literal 1 binary64) x)`
0	-	-	`(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))`
0	-	-	`(+.f64 #s(literal 1 binary64) x)`
0	-	-	`#s(literal 2 binary64)`
0	-	-	`(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`log.f64`	`(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))`	sensitivity	253	1

Confusion

	Predicted +	Predicted -
+	253	0
-	0	3

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	253	0	0
-	0	1	2

Precision?

0.9960629921259843

Recall?

1.0

Freqs

test

number	freq
0	3
1	253

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

111.0ms	198×	2	valid
96.0ms	304×	1	valid
1.0ms	10×	0	valid

Compiler

Compiled 94 to 31 computations (67% saved)

Precisions

Click to see histograms. Total time spent on operations: 151.0ms

ival-log: 93.0ms (61.4% of total)

adjust: 19.0ms (12.5% of total)

ival-div: 18.0ms (11.9% of total)

ival-mult: 7.0ms (4.6% of total)

ival-sub: 6.0ms (4% of total)

ival-add: 6.0ms (4% of total)

exact: 1.0ms (0.7% of total)

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

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

preprocess13.0ms (0.2%)

Memory

18.8MiB live, 18.8MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	24
1	25	24
2	30	24
3	32	24
0	9	10
0	16	10
1	24	10
2	25	10
0	25	10

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Compiler

Compiled 12 to 9 computations (25% 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

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	8.5%	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))

Compiler

Compiled 12 to 9 computations (25% saved)

simplify4.0ms (0%)

Memory

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

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	35
0	16	35
1	24	35
2	25	35
0	25	35

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize117.0ms (1.4%)

Memory

-33.5MiB live, 150.8MiB allocated; 25ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 #s(literal 1 binary64) x)
accuracy	0.0	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
accuracy	0.0234375	(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))
accuracy	58.55521880234333	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))

Samples

54.0ms	99×	2	valid
40.0ms	152×	1	valid
0.0ms	5×	0	valid

Compiler

Compiled 41 to 11 computations (73.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 73.0ms

ival-log: 34.0ms (46.9% of total)

ival-div: 16.0ms (22.1% of total)

adjust: 10.0ms (13.8% of total)

ival-add: 5.0ms (6.9% of total)

ival-mult: 4.0ms (5.5% of total)

ival-sub: 3.0ms (4.1% of total)

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

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

exact: 0.0ms (0% of total)

series4.0ms (0%)

Memory

7.7MiB live, 7.7MiB allocated; 0ms collecting garbage

Counts

5 → 29

Calls

Call 1

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

Calls

3 calls:

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

Time

Variable

Point

Expression

1.0ms

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

1.0ms

inf

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

1.0ms

-inf

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

simplify180.0ms (2.1%)

Memory

33.4MiB live, 168.3MiB allocated; 46ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	110	303
1	399	292
2	1325	285
3	5598	285
0	8228	264

Stop Event

1×	iter limit
1×	node limit

Counts

29 → 28

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

Outputs
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/7 binary64) (.f64 x x) #s(literal 1/5 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* 2/3 (pow x 2))))
(.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 (* 2 x))
(fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 2 (* 2 x))))
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)) x #s(literal 1 binary64))
(+ 1 x)
(-.f64 x #s(literal -1 binary64))
(* 1/2 (log -1))
(*.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64))
(+ (* 1/2 (log -1)) (/ 1 x))
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) (/.f64 #s(literal -1/5 binary64) (pow.f64 x #s(literal 5 binary64)))))
(log -1)
(log.f64 #s(literal -1 binary64))
(+ (log -1) (* 2 (/ 1 x)))
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) x))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) x) (log.f64 #s(literal -1 binary64)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))
(-.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) x) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal -2/5 binary64) (pow.f64 x #s(literal 5 binary64))))
-1
#s(literal -1 binary64)
(* -1 (+ 1 (* 2 (/ 1 x))))
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal 1 binary64))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x)) x) #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(-.f64 x #s(literal -1 binary64))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/5 binary64) (*.f64 x x)) #s(literal -1/3 binary64)) x) x) #s(literal 1 binary64)) (neg.f64 x)))
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (+.f64 (/.f64 #s(literal -2/5 binary64) (*.f64 x x)) #s(literal -2/3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal -2 binary64) x))
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)
(-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x)) x) #s(literal 1 binary64))

rewrite195.0ms (2.3%)

Memory

-24.7MiB live, 169.0MiB allocated; 26ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	29
0	16	29
1	50	28
2	268	28
3	2887	28
0	9198	22

Stop Event

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

Counts

5 → 665

Calls

Call 1

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

Outputs
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/4 binary64) (-.f64 (log1p.f64 x) (log1p.f64 x)))
(*.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (log.f64 (exp.f64 #s(literal 1/2 binary64))))
(*.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) #s(literal 1/4 binary64))
(*.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (-.f64 (log1p.f64 x) (log1p.f64 x)))
(.f64 #s(literal 2 binary64) (.f64 #s(literal 1/4 binary64) (-.f64 (log1p.f64 x) (log1p.f64 x))))
(/.f64 (.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (log1p.f64 x)))
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(+.f64 (.f64 (fma.f64 x x x) (/.f64 (+.f64 #s(literal -1 binary64) (.f64 x x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))))) (.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (.f64 x x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))))))
(+.f64 (.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 (/.f64 (+.f64 #s(literal -1 binary64) (.f64 x x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x #s(literal 1 binary64))) (.f64 (/.f64 (+.f64 #s(literal -1 binary64) (.f64 x x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) x))
(+.f64 (.f64 (/.f64 (+.f64 #s(literal -1 binary64) (.f64 x x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x x)) (.f64 (/.f64 (+.f64 #s(literal -1 binary64) (.f64 x x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64)))
(+.f64 (.f64 (/.f64 (+.f64 #s(literal -1 binary64) (.f64 x x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64)) (.f64 (/.f64 (+.f64 #s(literal -1 binary64) (.f64 x x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x x)))
(+.f64 (.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64))) (.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))))
(+.f64 (neg.f64 (neg.f64 x)) #s(literal 1 binary64))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)))
(+.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))
(+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 #s(literal 1 binary64) x)))
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 x)))
(+.f64 #s(literal 1 binary64) (neg.f64 x))
(+.f64 #s(literal 1 binary64) x)

eval102.0ms (1.2%)

Memory: 31.6MiB live, 121.7MiB allocated; 8ms collecting garbage
Compiler: Compiled 19 343 to 2 679 computations (86.2% saved)

prune23.0ms (0.3%)

Memory

-7.9MiB live, 37.3MiB allocated; 4ms collecting garbage

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	682	9	691
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	683	9	692

Accuracy

100.0%

Counts

692 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) (log1p.f64 (*.f64 (neg.f64 x) x))))
	8.3%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (.f64 (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))))
	99.7%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)))
▶	99.5%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)))
	99.4%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)))
▶	98.9%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 #s(literal 2 binary64) x)))
	8.5%	(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
▶	99.7%	#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/7 binary64) (.f64 x x) #s(literal 1/5 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x))
▶	99.4%	#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x))

Compiler

Compiled 372 to 254 computations (31.7% saved)

simplify152.0ms (1.8%)

Memory

-4.9MiB live, 95.2MiB allocated; 40ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (fma.f64 #s(literal 1/7 binary64) (.f64 x x) #s(literal 1/5 binary64)) (.f64 x x) #s(literal 1/3 binary64))
cost-diff	0	(pow.f64 x #s(literal 3 binary64))
cost-diff	0	(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/7 binary64) (.f64 x x) #s(literal 1/5 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x)
cost-diff	0	#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/7 binary64) (.f64 x x) #s(literal 1/5 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x))
cost-diff	0	(pow.f64 x #s(literal 3 binary64))
cost-diff	0	(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x)
cost-diff	0	#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x))
cost-diff	0	(.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
cost-diff	0	#s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
cost-diff	0	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)))
cost-diff	2	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
cost-diff	0	(*.f64 #s(literal 2 binary64) x)
cost-diff	0	#s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 #s(literal 2 binary64) x))
cost-diff	0	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 #s(literal 2 binary64) x)))
cost-diff	2	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
cost-diff	0	(*.f64 #s(literal 2 binary64) (log1p.f64 x))
cost-diff	0	(-.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) (log1p.f64 (.f64 (neg.f64 x) x)))
cost-diff	0	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) (log1p.f64 (*.f64 (neg.f64 x) x))))
cost-diff	2	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	261
0	67	261
1	120	261
2	307	261
3	1395	261
4	5294	261
0	8334	261

Stop Event

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

Calls

Call 1

Inputs
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) (log1p.f64 (*.f64 (neg.f64 x) x))))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
(-.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) (log1p.f64 (.f64 (neg.f64 x) x)))
(*.f64 #s(literal 2 binary64) (log1p.f64 x))
(log1p.f64 x)
x
(log1p.f64 (*.f64 (neg.f64 x) x))
(*.f64 (neg.f64 x) x)
(neg.f64 x)
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 #s(literal 2 binary64) x)))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
x
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
(.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(fma.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64))
(fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64))
#s(literal 2/5 binary64)
(*.f64 x x)
x
#s(literal 2/3 binary64)
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x)
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
#s(literal 1/3 binary64)
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/7 binary64) (.f64 x x) #s(literal 1/5 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/7 binary64) (.f64 x x) #s(literal 1/5 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x)
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(fma.f64 (fma.f64 #s(literal 1/7 binary64) (.f64 x x) #s(literal 1/5 binary64)) (.f64 x x) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1/7 binary64) (*.f64 x x) #s(literal 1/5 binary64))
#s(literal 1/7 binary64)
(*.f64 x x)
#s(literal 1/5 binary64)
#s(literal 1/3 binary64)

Outputs
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) (log1p.f64 (*.f64 (neg.f64 x) x))))
(.f64 (-.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) (log1p.f64 (*.f64 (neg.f64 x) x))) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(-.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) (log1p.f64 (.f64 (neg.f64 x) x)))
(-.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) (log1p.f64 (.f64 (neg.f64 x) x)))
(*.f64 #s(literal 2 binary64) (log1p.f64 x))
(*.f64 (log1p.f64 x) #s(literal 2 binary64))
(log1p.f64 x)
x
(log1p.f64 (*.f64 (neg.f64 x) x))
(*.f64 (neg.f64 x) x)
(neg.f64 x)
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 #s(literal 2 binary64) x)))
(.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 #s(literal 2 binary64) x))
#s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
x
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)))
(.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
#s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
(.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(fma.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64))
(fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64))
(fma.f64 (*.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64))
#s(literal 2/5 binary64)
(*.f64 x x)
x
#s(literal 2/3 binary64)
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x)
(fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
#s(literal 1/3 binary64)
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/7 binary64) (.f64 x x) #s(literal 1/5 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/7 binary64) (.f64 x x) #s(literal 1/5 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/7 binary64) (.f64 x x) #s(literal 1/5 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/7 binary64) (.f64 x x) #s(literal 1/5 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(fma.f64 (fma.f64 #s(literal 1/7 binary64) (.f64 x x) #s(literal 1/5 binary64)) (.f64 x x) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1/7 binary64) (*.f64 x x) #s(literal 1/5 binary64))
#s(literal 1/7 binary64)
(*.f64 x x)
#s(literal 1/5 binary64)
#s(literal 1/3 binary64)

localize303.0ms (3.5%)

Memory

-6.0MiB live, 269.6MiB allocated; 30ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(pow.f64 x #s(literal 3 binary64))
accuracy	0.01171875	(fma.f64 (fma.f64 #s(literal 1/7 binary64) (.f64 x x) #s(literal 1/5 binary64)) (.f64 x x) #s(literal 1/3 binary64))
accuracy	0.015625	(fma.f64 #s(literal 1/7 binary64) (*.f64 x x) #s(literal 1/5 binary64))
accuracy	0.19196439993492387	#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/7 binary64) (.f64 x x) #s(literal 1/5 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x))
accuracy	0.0	(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x)
accuracy	0.0078125	(pow.f64 x #s(literal 3 binary64))
accuracy	0.38603816265977753	#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x))
accuracy	0.0	(*.f64 x x)
accuracy	0.0078125	(fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64))
accuracy	0.015625	(.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
accuracy	0.27998964074453087	#s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
accuracy	0.0	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
accuracy	0.0	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 #s(literal 2 binary64) x)))
accuracy	0.0	(*.f64 #s(literal 2 binary64) x)
accuracy	0.6749829584589656	#s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 #s(literal 2 binary64) x))
accuracy	0.0	(neg.f64 x)
accuracy	0.0	(log1p.f64 x)
accuracy	0.00390625	(-.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) (log1p.f64 (.f64 (neg.f64 x) x)))
accuracy	0.0078125	(log1p.f64 (*.f64 (neg.f64 x) x))

Samples

137.0ms	152×	1	valid
129.0ms	99×	2	valid
2.0ms	5×	0	valid

Compiler

Compiled 245 to 40 computations (83.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 219.0ms

adjust: 55.0ms (25.2% of total)

ival-log: 47.0ms (21.5% of total)

ival-add: 36.0ms (16.5% of total)

ival-mult: 32.0ms (14.6% of total)

const: 23.0ms (10.5% of total)

ival-log1p: 9.0ms (4.1% of total)

ival-div: 6.0ms (2.7% of total)

ival-sub: 5.0ms (2.3% of total)

ival-pow: 5.0ms (2.3% of total)

ival-neg: 1.0ms (0.5% of total)

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

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

exact: 0.0ms (0% of total)

series15.0ms (0.2%)

Memory

18.8MiB live, 18.8MiB allocated; 0ms collecting garbage

Counts

22 → 97

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) (log1p.f64 (*.f64 (neg.f64 x) x))))
(-.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) (log1p.f64 (.f64 (neg.f64 x) x)))
(*.f64 #s(literal 2 binary64) (log1p.f64 x))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 #s(literal 2 binary64) x)))
#s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)))
#s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
(.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x)
(pow.f64 x #s(literal 3 binary64))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/7 binary64) (.f64 x x) #s(literal 1/5 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/7 binary64) (.f64 x x) #s(literal 1/5 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/7 binary64) (.f64 x x) #s(literal 1/5 binary64)) (.f64 x x) #s(literal 1/3 binary64))
(log1p.f64 (*.f64 (neg.f64 x) x))
(log1p.f64 x)
(neg.f64 x)
(fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64))
(*.f64 x x)
(fma.f64 #s(literal 1/7 binary64) (*.f64 x x) #s(literal 1/5 binary64))

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

Calls

3 calls:

Time	Variable		Point	Expression
5.0ms	x	@	-inf	((/ 1 2) (* (/ 1 2) (- (* 2 (log (+ 1 x))) (log (+ 1 (* (neg x) x))))) (- (* 2 (log (+ 1 x))) (log (+ 1 (* (neg x) x)))) (* 2 (log (+ 1 x))) (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (log (/ (+ 1 x) (- 1 x))) (* 2 x) (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (log (/ (+ 1 x) (- 1 x))) (* (+ (* (+ (* 2/5 (* x x)) 2/3) (* x x)) 2) x) (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (+ (* (pow x 3) 1/3) x) (pow x 3) (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (+ (* (pow x 3) (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3)) x) (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (log (+ 1 (* (neg x) x))) (log (+ 1 x)) (neg x) (+ (* 2/5 (* x x)) 2/3) (* x x) (+ (* 1/7 (* x x)) 1/5))
4.0ms	x	@	inf	((/ 1 2) (* (/ 1 2) (- (* 2 (log (+ 1 x))) (log (+ 1 (* (neg x) x))))) (- (* 2 (log (+ 1 x))) (log (+ 1 (* (neg x) x)))) (* 2 (log (+ 1 x))) (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (log (/ (+ 1 x) (- 1 x))) (* 2 x) (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (log (/ (+ 1 x) (- 1 x))) (* (+ (* (+ (* 2/5 (* x x)) 2/3) (* x x)) 2) x) (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (+ (* (pow x 3) 1/3) x) (pow x 3) (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (+ (* (pow x 3) (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3)) x) (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (log (+ 1 (* (neg x) x))) (log (+ 1 x)) (neg x) (+ (* 2/5 (* x x)) 2/3) (* x x) (+ (* 1/7 (* x x)) 1/5))
4.0ms	x	@	0	((/ 1 2) (* (/ 1 2) (- (* 2 (log (+ 1 x))) (log (+ 1 (* (neg x) x))))) (- (* 2 (log (+ 1 x))) (log (+ 1 (* (neg x) x)))) (* 2 (log (+ 1 x))) (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (log (/ (+ 1 x) (- 1 x))) (* 2 x) (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (log (/ (+ 1 x) (- 1 x))) (* (+ (* (+ (* 2/5 (* x x)) 2/3) (* x x)) 2) x) (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (+ (* (pow x 3) 1/3) x) (pow x 3) (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (+ (* (pow x 3) (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3)) x) (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (log (+ 1 (* (neg x) x))) (log (+ 1 x)) (neg x) (+ (* 2/5 (* x x)) 2/3) (* x x) (+ (* 1/7 (* x x)) 1/5))

Time

Variable

Point

Expression

5.0ms

-inf

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

4.0ms

inf

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

4.0ms

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

simplify160.0ms (1.9%)

Memory

13.2MiB live, 110.9MiB allocated; 15ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	279	1291
1	930	1243
2	2964	1218
0	8735	1169

Stop Event

1×	iter limit
1×	node limit

Counts

97 → 96

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

Outputs
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/7 binary64) (.f64 x x) #s(literal 1/5 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x)
(* 2 x)
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(fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -2 binary64) (-.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 4 binary64))) (log.f64 #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 #s(literal -1 binary64)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (neg.f64 x)) #s(literal 1 binary64)) x))

rewrite216.0ms (2.5%)

Memory

-13.8MiB live, 173.0MiB allocated; 21ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	219
0	67	213
1	250	213
2	1737	213
0	8729	210

Stop Event

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

Counts

22 → 355

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) (log1p.f64 (*.f64 (neg.f64 x) x))))
(-.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) (log1p.f64 (.f64 (neg.f64 x) x)))
(*.f64 #s(literal 2 binary64) (log1p.f64 x))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 #s(literal 2 binary64) x)))
#s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)))
#s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
(.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x)
(pow.f64 x #s(literal 3 binary64))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/7 binary64) (.f64 x x) #s(literal 1/5 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/7 binary64) (.f64 x x) #s(literal 1/5 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/7 binary64) (.f64 x x) #s(literal 1/5 binary64)) (.f64 x x) #s(literal 1/3 binary64))
(log1p.f64 (*.f64 (neg.f64 x) x))
(log1p.f64 x)
(neg.f64 x)
(fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64))
(*.f64 x x)
(fma.f64 #s(literal 1/7 binary64) (*.f64 x x) #s(literal 1/5 binary64))

Outputs
#s(literal 1/2 binary64)
(.f64 (-.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) (log1p.f64 (*.f64 x x))) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) (log1p.f64 (*.f64 x x))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (.f64 x x)) #s(literal 2 binary64))) #s(literal 1/2 binary64))) (neg.f64 (fma.f64 (log1p.f64 x) #s(literal 2 binary64) (log1p.f64 (.f64 x x)))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (.f64 x x)) #s(literal 3 binary64))) #s(literal 1/2 binary64))) (neg.f64 (fma.f64 (log1p.f64 (.f64 x x)) (fma.f64 (log1p.f64 x) #s(literal 2 binary64) (log1p.f64 (.f64 x x))) (pow.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (.f64 x x)) #s(literal 2 binary64))))) (neg.f64 (fma.f64 (log1p.f64 x) #s(literal 2 binary64) (log1p.f64 (.f64 x x)))))
(/.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (.f64 x x)) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (log1p.f64 (.f64 x x)) (fma.f64 (log1p.f64 x) #s(literal 2 binary64) (log1p.f64 (.f64 x x))) (pow.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (.f64 x x)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (fma.f64 (log1p.f64 x) #s(literal 2 binary64) (log1p.f64 (.f64 x x))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (.f64 x x)) #s(literal 3 binary64))) #s(literal 1/2 binary64)) (fma.f64 (log1p.f64 (.f64 x x)) (fma.f64 (log1p.f64 x) #s(literal 2 binary64) (log1p.f64 (.f64 x x))) (pow.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (.f64 x x)) #s(literal 2 binary64)))) (fma.f64 (log1p.f64 x) #s(literal 2 binary64) (log1p.f64 (.f64 x x))))
(/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (.f64 x x)) #s(literal 3 binary64)))) (fma.f64 (log1p.f64 (.f64 x x)) (fma.f64 (log1p.f64 x) #s(literal 2 binary64) (log1p.f64 (.f64 x x))) (pow.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))))
(log.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(/.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (.f64 x x))) #s(literal 3 binary64))) (fma.f64 (log1p.f64 x) (log1p.f64 x) (-.f64 (.f64 (-.f64 (log1p.f64 x) (log1p.f64 (.f64 x x))) (-.f64 (log1p.f64 x) (log1p.f64 (.f64 x x)))) (.f64 (log1p.f64 x) (-.f64 (log1p.f64 x) (log1p.f64 (.f64 x x)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (.f64 x x)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (fma.f64 (log1p.f64 x) #s(literal 2 binary64) (log1p.f64 (*.f64 x x))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (.f64 x x)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (log1p.f64 (.f64 x x)) (fma.f64 (log1p.f64 x) #s(literal 2 binary64) (log1p.f64 (.f64 x x))) (pow.f64 (*.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (log1p.f64 x) #s(literal 2 binary64) (log1p.f64 (.f64 x x)))) (.f64 (fma.f64 (log1p.f64 x) #s(literal 2 binary64) (log1p.f64 (.f64 x x))) (pow.f64 (log1p.f64 (.f64 x x)) #s(literal 2 binary64)))) (.f64 (fma.f64 (log1p.f64 x) #s(literal 2 binary64) (log1p.f64 (.f64 x x))) (fma.f64 (log1p.f64 x) #s(literal 2 binary64) (log1p.f64 (*.f64 x x)))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (log1p.f64 (.f64 x x)) (fma.f64 (log1p.f64 x) #s(literal 2 binary64) (log1p.f64 (.f64 x x))) (pow.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))) (.f64 (fma.f64 (log1p.f64 (.f64 x x)) (fma.f64 (log1p.f64 x) #s(literal 2 binary64) (log1p.f64 (.f64 x x))) (pow.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (log1p.f64 (.f64 x x)) #s(literal 3 binary64)))) (.f64 (fma.f64 (log1p.f64 (.f64 x x)) (fma.f64 (log1p.f64 x) #s(literal 2 binary64) (log1p.f64 (.f64 x x))) (pow.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (fma.f64 (log1p.f64 (.f64 x x)) (fma.f64 (log1p.f64 x) #s(literal 2 binary64) (log1p.f64 (.f64 x x))) (pow.f64 (*.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (.f64 x x)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (log1p.f64 x) #s(literal 2 binary64) (log1p.f64 (*.f64 x x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (.f64 x x)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log1p.f64 (.f64 x x)) (fma.f64 (log1p.f64 x) #s(literal 2 binary64) (log1p.f64 (.f64 x x))) (pow.f64 (*.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (.f64 x x)) #s(literal 2 binary64))) (fma.f64 (log1p.f64 x) #s(literal 2 binary64) (log1p.f64 (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (.f64 x x)) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (.f64 x x)) (fma.f64 (log1p.f64 x) #s(literal 2 binary64) (log1p.f64 (.f64 x x))) (pow.f64 (*.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (log1p.f64 x) #s(literal 2 binary64) (log1p.f64 (.f64 x x)))) (/.f64 (pow.f64 (log1p.f64 (.f64 x x)) #s(literal 2 binary64)) (fma.f64 (log1p.f64 x) #s(literal 2 binary64) (log1p.f64 (.f64 x x)))))
(-.f64 (/.f64 (pow.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (log1p.f64 (.f64 x x)) (fma.f64 (log1p.f64 x) #s(literal 2 binary64) (log1p.f64 (.f64 x x))) (pow.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log1p.f64 (.f64 x x)) #s(literal 3 binary64)) (fma.f64 (log1p.f64 (.f64 x x)) (fma.f64 (log1p.f64 x) #s(literal 2 binary64) (log1p.f64 (.f64 x x))) (pow.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(-.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) (log1p.f64 (.f64 x x)))
(+.f64 (/.f64 (pow.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (log1p.f64 x) #s(literal 2 binary64) (log1p.f64 (.f64 x x)))) (/.f64 (.f64 (neg.f64 (log1p.f64 (.f64 x x))) (log1p.f64 (.f64 x x))) (fma.f64 (log1p.f64 x) #s(literal 2 binary64) (log1p.f64 (.f64 x x)))))
(+.f64 (log1p.f64 x) (-.f64 (log1p.f64 x) (log1p.f64 (*.f64 x x))))
(log.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))
(*.f64 (log1p.f64 x) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (log1p.f64 x))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))) (neg.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log1p.f64 x) (log1p.f64 x) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (-.f64 (log1p.f64 x) (log1p.f64 x)))
(/.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) (fma.f64 (log1p.f64 x) (log1p.f64 x) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (-.f64 (log1p.f64 x) (log1p.f64 x))) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (-.f64 (log1p.f64 x) (log1p.f64 x))))
(+.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (fma.f64 (log1p.f64 x) (log1p.f64 x) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))))) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (fma.f64 (log1p.f64 x) (log1p.f64 x) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))))))
(+.f64 (log1p.f64 x) (log1p.f64 x))
(log.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))
(.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 x #s(literal 2 binary64))))
#s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 x #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
(/.f64 (neg.f64 (-.f64 (.f64 x x) (.f64 x x))) (neg.f64 (-.f64 x x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (.f64 x x) (.f64 x x)))))
(/.f64 (-.f64 (.f64 x x) (.f64 x x)) (-.f64 x x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 x x) (.f64 x x))))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) x)
(fma.f64 x #s(literal 1 binary64) x)
(fma.f64 #s(literal 1 binary64) x x)
(-.f64 (/.f64 (.f64 x x) (-.f64 x x)) (/.f64 (.f64 x x) (-.f64 x x)))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 (.f64 x x) (.f64 x x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 (.f64 x x) (.f64 x x)))))
(+.f64 x x)
(.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)))
#s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
(.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(.f64 x (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) x) x) x) #s(literal 3 binary64)) (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) x) x) x) (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) x) x) x) (-.f64 (.f64 (.f64 x #s(literal 2 binary64)) (.f64 x #s(literal 2 binary64))) (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) x) x) x) (.f64 x #s(literal 2 binary64))))))
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(-.f64 #s(literal 1/5 binary64) (.f64 #s(literal -1/7 binary64) (.f64 x x)))
(-.f64 #s(literal 1/5 binary64) (.f64 (.f64 (neg.f64 x) x) #s(literal 1/7 binary64)))
(+.f64 (/.f64 #s(literal 1/125 binary64) (+.f64 #s(literal 1/25 binary64) (-.f64 (.f64 #s(literal 1/49 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 x x) #s(literal 1/35 binary64))))) (/.f64 (.f64 #s(literal 1/343 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1/25 binary64) (-.f64 (.f64 #s(literal 1/49 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (*.f64 x x) #s(literal 1/35 binary64))))))
(+.f64 (/.f64 (.f64 #s(literal 1/343 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1/25 binary64) (-.f64 (.f64 #s(literal 1/49 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 x x) #s(literal 1/35 binary64))))) (/.f64 #s(literal 1/125 binary64) (+.f64 #s(literal 1/25 binary64) (-.f64 (.f64 #s(literal 1/49 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (*.f64 x x) #s(literal 1/35 binary64))))))
(+.f64 (/.f64 #s(literal 1/125 binary64) (fma.f64 #s(literal 1/49 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/25 binary64) (.f64 (.f64 x x) #s(literal 1/35 binary64))))) (/.f64 (.f64 #s(literal 1/343 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/49 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/25 binary64) (.f64 (*.f64 x x) #s(literal 1/35 binary64))))))
(+.f64 (/.f64 (.f64 #s(literal 1/343 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/49 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/25 binary64) (.f64 (.f64 x x) #s(literal 1/35 binary64))))) (/.f64 #s(literal 1/125 binary64) (fma.f64 #s(literal 1/49 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/25 binary64) (.f64 (*.f64 x x) #s(literal 1/35 binary64))))))
(+.f64 (.f64 #s(literal 1/7 binary64) (.f64 x x)) #s(literal 1/5 binary64))
(+.f64 #s(literal 1/5 binary64) (.f64 #s(literal 1/7 binary64) (.f64 x x)))

eval72.0ms (0.8%)

Memory: 8.1MiB live, 98.2MiB allocated; 7ms collecting garbage
Compiler: Compiled 20 149 to 2 321 computations (88.5% saved)

prune17.0ms (0.2%)

Memory

-35.3MiB live, 27.2MiB allocated; 16ms collecting garbage

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	524	5	529
Fresh	2	2	4
Picked	5	0	5
Done	0	0	0
Total	531	7	538

Accuracy

100.0%

Counts

538 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	8.3%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (.f64 (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))))
▶	99.5%	(.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
▶	98.9%	(.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
▶	100.0%	(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) (log1p.f64 (*.f64 (neg.f64 x) x))))
	8.5%	(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
▶	99.7%	#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/7 binary64) (.f64 x x) #s(literal 1/5 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x)) x x))
▶	99.4%	#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/3 binary64) x))

Compiler

Compiled 264 to 178 computations (32.6% saved)

simplify129.0ms (1.5%)

Memory

43.8MiB live, 133.1MiB allocated; 10ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (fma.f64 #s(literal 1/7 binary64) (.f64 x x) #s(literal 1/5 binary64)) (.f64 x x) #s(literal 1/3 binary64))
cost-diff	0	(.f64 (fma.f64 (fma.f64 #s(literal 1/7 binary64) (.f64 x x) #s(literal 1/5 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x))
cost-diff	0	#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/7 binary64) (.f64 x x) #s(literal 1/5 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x)) x x))
cost-diff	2	(fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/7 binary64) (.f64 x x) #s(literal 1/5 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x)) x x)
cost-diff	0	(fma.f64 (fma.f64 (.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64))
cost-diff	0	(.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
cost-diff	0	#s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
cost-diff	0	(.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 (.f64 (.f64 x x) x) #s(literal 1/3 binary64) x)
cost-diff	0	#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/3 binary64) x))
cost-diff	2	(.f64 (.f64 x x) x)
cost-diff	0	(*.f64 x #s(literal 2 binary64))
cost-diff	0	#s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 x #s(literal 2 binary64)))
cost-diff	0	(.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
cost-diff	0	(log1p.f64 x)
cost-diff	0	(*.f64 #s(literal 2 binary64) (log1p.f64 x))
cost-diff	0	(-.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) (log1p.f64 (.f64 (neg.f64 x) x)))
cost-diff	0	(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) (log1p.f64 (*.f64 (neg.f64 x) x))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	281
0	66	281
1	120	273
2	303	273
3	1218	273
4	4213	273
5	6727	273
0	8112	271

Stop Event

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

Calls

Call 1

Inputs
(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) (log1p.f64 (*.f64 (neg.f64 x) x))))
#s(literal 1/2 binary64)
(-.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) (log1p.f64 (.f64 (neg.f64 x) x)))
(*.f64 #s(literal 2 binary64) (log1p.f64 x))
#s(literal 2 binary64)
(log1p.f64 x)
x
(log1p.f64 (*.f64 (neg.f64 x) x))
(*.f64 (neg.f64 x) x)
(neg.f64 x)
(.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
#s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 x #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
#s(literal 1/2 binary64)
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/3 binary64) x))
(fma.f64 (.f64 (.f64 x x) x) #s(literal 1/3 binary64) x)
(.f64 (.f64 x x) x)
(*.f64 x x)
x
#s(literal 1/3 binary64)
(.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
#s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
(.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(fma.f64 (fma.f64 (.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64))
(fma.f64 (*.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64))
(*.f64 x x)
x
#s(literal 2/5 binary64)
#s(literal 2/3 binary64)
#s(literal 2 binary64)
#s(literal 1/2 binary64)
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/7 binary64) (.f64 x x) #s(literal 1/5 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x)) x x))
(fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/7 binary64) (.f64 x x) #s(literal 1/5 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x)) x x)
(.f64 (fma.f64 (fma.f64 #s(literal 1/7 binary64) (.f64 x x) #s(literal 1/5 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x))
(fma.f64 (fma.f64 #s(literal 1/7 binary64) (.f64 x x) #s(literal 1/5 binary64)) (.f64 x x) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1/7 binary64) (*.f64 x x) #s(literal 1/5 binary64))
#s(literal 1/7 binary64)
(*.f64 x x)
x
#s(literal 1/5 binary64)
#s(literal 1/3 binary64)

Outputs
(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) (log1p.f64 (*.f64 (neg.f64 x) x))))
(.f64 (-.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) (log1p.f64 (*.f64 (neg.f64 x) x))) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(-.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) (log1p.f64 (.f64 (neg.f64 x) x)))
(-.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) (log1p.f64 (.f64 (neg.f64 x) x)))
(*.f64 #s(literal 2 binary64) (log1p.f64 x))
(*.f64 (log1p.f64 x) #s(literal 2 binary64))
#s(literal 2 binary64)
(log1p.f64 x)
x
(log1p.f64 (*.f64 (neg.f64 x) x))
(*.f64 (neg.f64 x) x)
(neg.f64 x)
(.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
#s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 x #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
#s(literal 1/2 binary64)
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/3 binary64) x))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(fma.f64 (.f64 (.f64 x x) x) #s(literal 1/3 binary64) x)
(fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(.f64 (.f64 x x) x)
(pow.f64 x #s(literal 3 binary64))
(*.f64 x x)
x
#s(literal 1/3 binary64)
(.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
(.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
#s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
#s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
(.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(fma.f64 (fma.f64 (.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64))
(fma.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64))
(fma.f64 (*.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64))
(fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64))
(*.f64 x x)
x
#s(literal 2/5 binary64)
#s(literal 2/3 binary64)
#s(literal 2 binary64)
#s(literal 1/2 binary64)
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/7 binary64) (.f64 x x) #s(literal 1/5 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x)) x x))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/7 binary64) (.f64 x x) #s(literal 1/5 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x))
(fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/7 binary64) (.f64 x x) #s(literal 1/5 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x)) x x)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/7 binary64) (.f64 x x) #s(literal 1/5 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
(.f64 (fma.f64 (fma.f64 #s(literal 1/7 binary64) (.f64 x x) #s(literal 1/5 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/7 binary64) (.f64 x x) #s(literal 1/5 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x) x)
(fma.f64 (fma.f64 #s(literal 1/7 binary64) (.f64 x x) #s(literal 1/5 binary64)) (.f64 x x) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1/7 binary64) (*.f64 x x) #s(literal 1/5 binary64))
#s(literal 1/7 binary64)
(*.f64 x x)
x
#s(literal 1/5 binary64)
#s(literal 1/3 binary64)

localize334.0ms (3.9%)

Memory

4.5MiB live, 288.1MiB allocated; 29ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(fma.f64 (fma.f64 #s(literal 1/7 binary64) (.f64 x x) #s(literal 1/5 binary64)) (.f64 x x) #s(literal 1/3 binary64))
accuracy	0.015625	(fma.f64 #s(literal 1/7 binary64) (*.f64 x x) #s(literal 1/5 binary64))
accuracy	0.19196439993492387	#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/7 binary64) (.f64 x x) #s(literal 1/5 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x)) x x))
accuracy	0.1953125	(.f64 (fma.f64 (fma.f64 #s(literal 1/7 binary64) (.f64 x x) #s(literal 1/5 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x))
accuracy	0.0	(*.f64 x x)
accuracy	0.0078125	(fma.f64 (*.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64))
accuracy	0.015625	(.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
accuracy	0.27998964074453087	#s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
accuracy	0.0	(fma.f64 (.f64 (.f64 x x) x) #s(literal 1/3 binary64) x)
accuracy	0.0	(*.f64 x x)
accuracy	0.08984375	(.f64 (.f64 x x) x)
accuracy	0.38603816265977753	#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/3 binary64) x))
accuracy	0.0	(.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
accuracy	0.0	(*.f64 x #s(literal 2 binary64))
accuracy	0.6749829584589656	#s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 x #s(literal 2 binary64)))
accuracy	0.0	(neg.f64 x)
accuracy	0.0	(log1p.f64 x)
accuracy	0.00390625	(-.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) (log1p.f64 (.f64 (neg.f64 x) x)))
accuracy	0.0078125	(log1p.f64 (*.f64 (neg.f64 x) x))

Samples

146.0ms	99×	2	valid
141.0ms	152×	1	valid
2.0ms	5×	0	valid

Compiler

Compiled 251 to 42 computations (83.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 251.0ms

ival-mult: 70.0ms (27.9% of total)

ival-log: 69.0ms (27.5% of total)

adjust: 45.0ms (18% of total)

const: 26.0ms (10.4% of total)

ival-add: 21.0ms (8.4% of total)

ival-log1p: 7.0ms (2.8% of total)

ival-div: 6.0ms (2.4% of total)

ival-sub: 5.0ms (2% of total)

ival-neg: 1.0ms (0.4% of total)

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

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

exact: 0.0ms (0% of total)

series12.0ms (0.1%)

Memory

-32.8MiB live, 12.7MiB allocated; 6ms collecting garbage

Counts

23 → 109

Calls

Call 1

Inputs
(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) (log1p.f64 (*.f64 (neg.f64 x) x))))
(-.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) (log1p.f64 (.f64 (neg.f64 x) x)))
(*.f64 #s(literal 2 binary64) (log1p.f64 x))
(log1p.f64 x)
(.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
#s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 x #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))
(.f64 (.f64 x x) x)
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/3 binary64) x))
(fma.f64 (.f64 (.f64 x x) x) #s(literal 1/3 binary64) x)
(*.f64 x x)
(.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
#s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
(.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(fma.f64 (fma.f64 (.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64))
(fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/7 binary64) (.f64 x x) #s(literal 1/5 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x)) x x)
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/7 binary64) (.f64 x x) #s(literal 1/5 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x)) x x))
(.f64 (fma.f64 (fma.f64 #s(literal 1/7 binary64) (.f64 x x) #s(literal 1/5 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x))
(fma.f64 (fma.f64 #s(literal 1/7 binary64) (.f64 x x) #s(literal 1/5 binary64)) (.f64 x x) #s(literal 1/3 binary64))
(log1p.f64 (*.f64 (neg.f64 x) x))
(neg.f64 x)
(fma.f64 (*.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64))
(fma.f64 #s(literal 1/7 binary64) (*.f64 x x) #s(literal 1/5 binary64))

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

Calls

3 calls:

Time

Variable

Point

Expression

6.0ms

-inf

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

3.0ms

inf

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

2.0ms

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

simplify184.0ms (2.2%)

Memory

21.9MiB live, 162.4MiB allocated; 18ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	285	1411
1	962	1363
2	3064	1338
0	8307	1283

Stop Event

1×	iter limit
1×	node limit

Counts

109 → 108

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

Outputs
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/7 binary64) (.f64 x x) #s(literal 1/5 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* 2/3 (pow x 2))))
(.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* -1 x)))
(*.f64 (-.f64 #s(literal 2 binary64) x) x)
(* x (+ 2 (* x (- (* 2/3 x) 1))))
(.f64 (fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) x) #s(literal 1 binary64)) x #s(literal 2 binary64)) x)
(* x (+ 2 (* x (- (* x (+ 2/3 (* -1/2 x))) 1))))
(.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 2/3 binary64)) x) #s(literal 1 binary64)) x #s(literal 2 binary64)) x)
(* x (+ 1 (* -1/2 x)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 2)
(*.f64 x x)
2
#s(literal 2 binary64)
(+ 2 (* 2/3 (pow x 2)))
(fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64))
(* 1/3 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/3 binary64))
(* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))
(.f64 (.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x)
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
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(+ (log -1) (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) (pow x 2)))))
(-.f64 (-.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -2 binary64) (log.f64 #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))))
(- (+ (log -1) (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 (pow x 2)))) (pow x 4))))) (/ 1 (pow x 2)))
(fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -2 binary64) (+.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (log.f64 #s(literal -1 binary64))))

rewrite209.0ms (2.4%)

Memory

18.6MiB live, 150.7MiB allocated; 20ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	254
0	66	240
1	245	240
2	1686	240
0	8191	238

Stop Event

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

Counts

23 → 367

Calls

Call 1

Inputs
(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) (log1p.f64 (*.f64 (neg.f64 x) x))))
(-.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) (log1p.f64 (.f64 (neg.f64 x) x)))
(*.f64 #s(literal 2 binary64) (log1p.f64 x))
(log1p.f64 x)
(.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
#s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 x #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))
(.f64 (.f64 x x) x)
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/3 binary64) x))
(fma.f64 (.f64 (.f64 x x) x) #s(literal 1/3 binary64) x)
(*.f64 x x)
(.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
#s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
(.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(fma.f64 (fma.f64 (.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64))
(fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/7 binary64) (.f64 x x) #s(literal 1/5 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x)) x x)
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/7 binary64) (.f64 x x) #s(literal 1/5 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x)) x x))
(.f64 (fma.f64 (fma.f64 #s(literal 1/7 binary64) (.f64 x x) #s(literal 1/5 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x))
(fma.f64 (fma.f64 #s(literal 1/7 binary64) (.f64 x x) #s(literal 1/5 binary64)) (.f64 x x) #s(literal 1/3 binary64))
(log1p.f64 (*.f64 (neg.f64 x) x))
(neg.f64 x)
(fma.f64 (*.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64))
(fma.f64 #s(literal 1/7 binary64) (*.f64 x x) #s(literal 1/5 binary64))

Outputs
(.f64 (-.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) (log1p.f64 (*.f64 (neg.f64 x) x))) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) (log1p.f64 (*.f64 (neg.f64 x) x))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (.f64 (neg.f64 x) x)) #s(literal 2 binary64))) #s(literal 1/2 binary64))) (neg.f64 (fma.f64 (log1p.f64 x) #s(literal 2 binary64) (log1p.f64 (.f64 (neg.f64 x) x)))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (.f64 (neg.f64 x) x)) #s(literal 3 binary64))) #s(literal 1/2 binary64))) (neg.f64 (fma.f64 (log1p.f64 (.f64 (neg.f64 x) x)) (fma.f64 (log1p.f64 x) #s(literal 2 binary64) (log1p.f64 (.f64 (neg.f64 x) x))) (pow.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (.f64 (neg.f64 x) x)) #s(literal 2 binary64))))) (neg.f64 (fma.f64 (log1p.f64 x) #s(literal 2 binary64) (log1p.f64 (.f64 (neg.f64 x) x)))))
(/.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (.f64 (neg.f64 x) x)) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (log1p.f64 (.f64 (neg.f64 x) x)) (fma.f64 (log1p.f64 x) #s(literal 2 binary64) (log1p.f64 (.f64 (neg.f64 x) x))) (pow.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (.f64 (neg.f64 x) x)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (fma.f64 (log1p.f64 x) #s(literal 2 binary64) (log1p.f64 (.f64 (neg.f64 x) x))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (.f64 (neg.f64 x) x)) #s(literal 3 binary64))) #s(literal 1/2 binary64)) (fma.f64 (log1p.f64 (.f64 (neg.f64 x) x)) (fma.f64 (log1p.f64 x) #s(literal 2 binary64) (log1p.f64 (.f64 (neg.f64 x) x))) (pow.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (.f64 (neg.f64 x) x)) #s(literal 2 binary64)))) (fma.f64 (log1p.f64 x) #s(literal 2 binary64) (log1p.f64 (.f64 (neg.f64 x) x))))
(/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (.f64 (neg.f64 x) x)) #s(literal 3 binary64)))) (fma.f64 (log1p.f64 (.f64 (neg.f64 x) x)) (fma.f64 (log1p.f64 x) #s(literal 2 binary64) (log1p.f64 (.f64 (neg.f64 x) x))) (pow.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))))
(log.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(/.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (.f64 (neg.f64 x) x))) #s(literal 3 binary64))) (fma.f64 (log1p.f64 x) (log1p.f64 x) (-.f64 (.f64 (-.f64 (log1p.f64 x) (log1p.f64 (.f64 (neg.f64 x) x))) (-.f64 (log1p.f64 x) (log1p.f64 (.f64 (neg.f64 x) x)))) (.f64 (log1p.f64 x) (-.f64 (log1p.f64 x) (log1p.f64 (.f64 (neg.f64 x) x)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (.f64 (neg.f64 x) x)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (fma.f64 (log1p.f64 x) #s(literal 2 binary64) (log1p.f64 (*.f64 (neg.f64 x) x))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (.f64 (neg.f64 x) x)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (log1p.f64 (.f64 (neg.f64 x) x)) (fma.f64 (log1p.f64 x) #s(literal 2 binary64) (log1p.f64 (.f64 (neg.f64 x) x))) (pow.f64 (*.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (log1p.f64 x) #s(literal 2 binary64) (log1p.f64 (.f64 (neg.f64 x) x)))) (.f64 (fma.f64 (log1p.f64 x) #s(literal 2 binary64) (log1p.f64 (.f64 (neg.f64 x) x))) (pow.f64 (log1p.f64 (.f64 (neg.f64 x) x)) #s(literal 2 binary64)))) (.f64 (fma.f64 (log1p.f64 x) #s(literal 2 binary64) (log1p.f64 (.f64 (neg.f64 x) x))) (fma.f64 (log1p.f64 x) #s(literal 2 binary64) (log1p.f64 (*.f64 (neg.f64 x) x)))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (log1p.f64 (.f64 (neg.f64 x) x)) (fma.f64 (log1p.f64 x) #s(literal 2 binary64) (log1p.f64 (.f64 (neg.f64 x) x))) (pow.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))) (.f64 (fma.f64 (log1p.f64 (.f64 (neg.f64 x) x)) (fma.f64 (log1p.f64 x) #s(literal 2 binary64) (log1p.f64 (.f64 (neg.f64 x) x))) (pow.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (log1p.f64 (.f64 (neg.f64 x) x)) #s(literal 3 binary64)))) (.f64 (fma.f64 (log1p.f64 (.f64 (neg.f64 x) x)) (fma.f64 (log1p.f64 x) #s(literal 2 binary64) (log1p.f64 (.f64 (neg.f64 x) x))) (pow.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (fma.f64 (log1p.f64 (.f64 (neg.f64 x) x)) (fma.f64 (log1p.f64 x) #s(literal 2 binary64) (log1p.f64 (.f64 (neg.f64 x) x))) (pow.f64 (*.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (.f64 (neg.f64 x) x)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (log1p.f64 x) #s(literal 2 binary64) (log1p.f64 (*.f64 (neg.f64 x) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (.f64 (neg.f64 x) x)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log1p.f64 (.f64 (neg.f64 x) x)) (fma.f64 (log1p.f64 x) #s(literal 2 binary64) (log1p.f64 (.f64 (neg.f64 x) x))) (pow.f64 (*.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (.f64 (neg.f64 x) x)) #s(literal 2 binary64))) (fma.f64 (log1p.f64 x) #s(literal 2 binary64) (log1p.f64 (*.f64 (neg.f64 x) x))))
(/.f64 (-.f64 (pow.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (.f64 (neg.f64 x) x)) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (.f64 (neg.f64 x) x)) (fma.f64 (log1p.f64 x) #s(literal 2 binary64) (log1p.f64 (.f64 (neg.f64 x) x))) (pow.f64 (*.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (log1p.f64 x) #s(literal 2 binary64) (log1p.f64 (.f64 (neg.f64 x) x)))) (/.f64 (pow.f64 (log1p.f64 (.f64 (neg.f64 x) x)) #s(literal 2 binary64)) (fma.f64 (log1p.f64 x) #s(literal 2 binary64) (log1p.f64 (.f64 (neg.f64 x) x)))))
(-.f64 (/.f64 (pow.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (log1p.f64 (.f64 (neg.f64 x) x)) (fma.f64 (log1p.f64 x) #s(literal 2 binary64) (log1p.f64 (.f64 (neg.f64 x) x))) (pow.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log1p.f64 (.f64 (neg.f64 x) x)) #s(literal 3 binary64)) (fma.f64 (log1p.f64 (.f64 (neg.f64 x) x)) (fma.f64 (log1p.f64 x) #s(literal 2 binary64) (log1p.f64 (.f64 (neg.f64 x) x))) (pow.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(-.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) (log1p.f64 (.f64 (neg.f64 x) x)))
(+.f64 (/.f64 (pow.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (log1p.f64 x) #s(literal 2 binary64) (log1p.f64 (.f64 (neg.f64 x) x)))) (/.f64 (.f64 (neg.f64 (log1p.f64 (.f64 (neg.f64 x) x))) (log1p.f64 (.f64 (neg.f64 x) x))) (fma.f64 (log1p.f64 x) #s(literal 2 binary64) (log1p.f64 (.f64 (neg.f64 x) x)))))
(+.f64 (log1p.f64 x) (-.f64 (log1p.f64 x) (log1p.f64 (*.f64 (neg.f64 x) x))))
(log.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))
(*.f64 (log1p.f64 x) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (log1p.f64 x))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))) (neg.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log1p.f64 x) (log1p.f64 x) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (-.f64 (log1p.f64 x) (log1p.f64 x)))
(/.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) (fma.f64 (log1p.f64 x) (log1p.f64 x) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (-.f64 (log1p.f64 x) (log1p.f64 x))) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (-.f64 (log1p.f64 x) (log1p.f64 x))))
(+.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (fma.f64 (log1p.f64 x) (log1p.f64 x) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))))) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (fma.f64 (log1p.f64 x) (log1p.f64 x) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))))))
(+.f64 (log1p.f64 x) (log1p.f64 x))
(log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(log1p.f64 x)
(-.f64 (log.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))) (log.f64 (-.f64 x #s(literal 1 binary64))))
(-.f64 (log.f64 (neg.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (log.f64 (neg.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))))
(-.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (log.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(-.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (log1p.f64 (-.f64 (*.f64 x x) x)))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) x))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 x #s(literal 6 binary64)))) (log.f64 (.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (neg.f64 x) x)) (-.f64 #s(literal 1 binary64) x))))
(-.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log.f64 (-.f64 #s(literal 1 binary64) x)))
(+.f64 (log.f64 (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (log1p.f64 (fma.f64 x x x)))
(+.f64 (log.f64 (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (log1p.f64 x))
(log.f64 (+.f64 #s(literal 1 binary64) x))
(.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 x #s(literal 2 binary64))))
#s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 x #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 x x) (.f64 x x))))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) x)
(fma.f64 #s(literal 1 binary64) x x)
(fma.f64 x #s(literal 1 binary64) x)
(+.f64 x x)
(*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (neg.f64 (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 x #s(literal 3/2 binary64))) (fabs.f64 (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
(.f64 (.f64 x x) x)
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(.f64 (.f64 (neg.f64 x) x) (neg.f64 x))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) x))
(.f64 x (.f64 x x))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 x #s(literal 3 binary64))
(neg.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
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(+.f64 (/.f64 #s(literal 1/125 binary64) (fma.f64 #s(literal 1/49 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/25 binary64) (.f64 (.f64 x x) #s(literal 1/35 binary64))))) (/.f64 (.f64 #s(literal 1/343 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/49 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/25 binary64) (.f64 (*.f64 x x) #s(literal 1/35 binary64))))))
(+.f64 (/.f64 (.f64 #s(literal 1/343 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/49 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/25 binary64) (.f64 (.f64 x x) #s(literal 1/35 binary64))))) (/.f64 #s(literal 1/125 binary64) (fma.f64 #s(literal 1/49 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/25 binary64) (.f64 (*.f64 x x) #s(literal 1/35 binary64))))))
(+.f64 (.f64 #s(literal 1/7 binary64) (.f64 x x)) #s(literal 1/5 binary64))
(+.f64 #s(literal 1/5 binary64) (.f64 #s(literal 1/7 binary64) (.f64 x x)))

eval104.0ms (1.2%)

Memory: -3.4MiB live, 98.8MiB allocated; 35ms collecting garbage
Compiler: Compiled 22 148 to 2 664 computations (88% saved)

prune11.0ms (0.1%)

Memory

-16.8MiB live, 29.7MiB allocated; 3ms collecting garbage

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	561	2	563
Fresh	0	2	2
Picked	2	3	5
Done	0	0	0
Total	563	7	570

Accuracy

100.0%

Counts

570 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	8.3%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (.f64 (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))))
▶	98.9%	(*.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (+.f64 x x)) #s(literal 1/2 binary64))
✓	100.0%	(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) (log1p.f64 (*.f64 (neg.f64 x) x))))
▶	8.5%	(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
✓	99.7%	#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/7 binary64) (.f64 x x) #s(literal 1/5 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x)) x x))
▶	99.6%	#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (.f64 (fma.f64 #s(approx (+ ( 1/7 (* x x)) 1/5) #s(literal 1/5 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x)) x x))
✓	99.4%	#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/3 binary64) x))

Compiler

Compiled 142 to 94 computations (33.8% saved)

simplify97.0ms (1.1%)

Memory

31.9MiB live, 78.5MiB allocated; 2ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (.f64 (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))))
cost-diff	1	(fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))
cost-diff	1	(/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
cost-diff	2	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
cost-diff	0	(+.f64 x x)
cost-diff	0	#s(approx (log (/ (+ 1 x) (- 1 x))) (+.f64 x x))
cost-diff	0	(*.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (+.f64 x x)) #s(literal 1/2 binary64))
cost-diff	0	(+.f64 #s(literal 1 binary64) x)
cost-diff	0	(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))
cost-diff	0	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
cost-diff	0	(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
cost-diff	0	(fma.f64 #s(approx (+ (* 1/7 (* x x)) 1/5) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 1/3 binary64))
cost-diff	0	(.f64 (fma.f64 #s(approx (+ ( 1/7 (* x x)) 1/5) #s(literal 1/5 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x))
cost-diff	0	#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (.f64 (fma.f64 #s(approx (+ ( 1/7 (* x x)) 1/5) #s(literal 1/5 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x)) x x))
cost-diff	2	(fma.f64 (.f64 (fma.f64 #s(approx (+ ( 1/7 (* x x)) 1/5) #s(literal 1/5 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x)) x x)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	241
0	59	241
1	109	241
2	286	231
3	1134	231
4	3246	231
5	6610	231
0	8228	220

Stop Event

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

Calls

Call 1

Inputs
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (.f64 (fma.f64 #s(approx (+ ( 1/7 (* x x)) 1/5) #s(literal 1/5 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x)) x x))
(fma.f64 (.f64 (fma.f64 #s(approx (+ ( 1/7 (* x x)) 1/5) #s(literal 1/5 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x)) x x)
(.f64 (fma.f64 #s(approx (+ ( 1/7 (* x x)) 1/5) #s(literal 1/5 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x))
(fma.f64 #s(approx (+ (* 1/7 (* x x)) 1/5) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 1/3 binary64))
#s(approx (+ (* 1/7 (* x x)) 1/5) #s(literal 1/5 binary64))
#s(literal 1/5 binary64)
(*.f64 x x)
x
#s(literal 1/3 binary64)
(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
#s(literal 1/2 binary64)
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(-.f64 #s(literal 1 binary64) x)
(*.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (+.f64 x x)) #s(literal 1/2 binary64))
#s(approx (log (/ (+ 1 x) (- 1 x))) (+.f64 x x))
(+.f64 x x)
x
#s(literal 1/2 binary64)
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (.f64 (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
(log.f64 (.f64 (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x x))) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))))
(.f64 (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x x))) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))
(/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))
#s(literal -1 binary64)
x
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)

Outputs
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (.f64 (fma.f64 #s(approx (+ ( 1/7 (* x x)) 1/5) #s(literal 1/5 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x)) x x))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(approx (+ ( 1/7 (* x x)) 1/5) #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) x))
(fma.f64 (.f64 (fma.f64 #s(approx (+ ( 1/7 (* x x)) 1/5) #s(literal 1/5 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x)) x x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(approx (+ ( 1/7 (* x x)) 1/5) #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) x)
(.f64 (fma.f64 #s(approx (+ ( 1/7 (* x x)) 1/5) #s(literal 1/5 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x))
(.f64 (.f64 (fma.f64 (.f64 x x) #s(approx (+ ( 1/7 (* x x)) 1/5) #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) x) x)
(fma.f64 #s(approx (+ (* 1/7 (* x x)) 1/5) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 1/3 binary64))
(fma.f64 (.f64 x x) #s(approx (+ ( 1/7 (* x x)) 1/5) #s(literal 1/5 binary64)) #s(literal 1/3 binary64))
#s(approx (+ (* 1/7 (* x x)) 1/5) #s(literal 1/5 binary64))
#s(literal 1/5 binary64)
(*.f64 x x)
x
#s(literal 1/3 binary64)
(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
(*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
x
(-.f64 #s(literal 1 binary64) x)
(*.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (+.f64 x x)) #s(literal 1/2 binary64))
(.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
#s(approx (log (/ (+ 1 x) (- 1 x))) (+.f64 x x))
#s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 x #s(literal 2 binary64)))
(+.f64 x x)
(*.f64 x #s(literal 2 binary64))
x
#s(literal 1/2 binary64)
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (.f64 (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))))
(.f64 (log.f64 (.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) x))) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(log.f64 (.f64 (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x x))) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))))
(log.f64 (*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) x)))
(.f64 (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x x))) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) x))
(/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))
(-.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)

localize283.0ms (3.3%)

Memory

-5.1MiB live, 230.8MiB allocated; 20ms collecting garbage

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x x)
accuracy	0.01171875	(/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
accuracy	0.01953125	(.f64 (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x x))) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))
accuracy	58.55521880234333	(log.f64 (.f64 (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x x))) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))))
accuracy	0.0	(+.f64 x x)
accuracy	0.0	(*.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (+.f64 x x)) #s(literal 1/2 binary64))
accuracy	0.6749829584589656	#s(approx (log (/ (+ 1 x) (- 1 x))) (+.f64 x x))
accuracy	0.0	(+.f64 #s(literal 1 binary64) x)
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
accuracy	0.0234375	(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))
accuracy	58.55521880234333	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
accuracy	0.01171875	(fma.f64 #s(approx (+ (* 1/7 (* x x)) 1/5) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 1/3 binary64))
accuracy	0.19196439993492387	#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (.f64 (fma.f64 #s(approx (+ ( 1/7 (* x x)) 1/5) #s(literal 1/5 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x)) x x))
accuracy	0.1953125	(.f64 (fma.f64 #s(approx (+ ( 1/7 (* x x)) 1/5) #s(literal 1/5 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x))
accuracy	0.7150039244106509	#s(approx (+ (* 1/7 (* x x)) 1/5) #s(literal 1/5 binary64))

Samples

134.0ms	153×	1	valid
119.0ms	99×	2	valid
1.0ms	4×	0	valid

Compiler

Compiled 223 to 34 computations (84.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 189.0ms

ival-log: 69.0ms (36.4% of total)

adjust: 39.0ms (20.6% of total)

ival-mult: 36.0ms (19% of total)

const: 15.0ms (7.9% of total)

ival-add: 14.0ms (7.4% of total)

ival-div: 10.0ms (5.3% of total)

ival-sub: 6.0ms (3.2% of total)

exact: 1.0ms (0.5% of total)

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

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

series6.0ms (0.1%)

Memory

8.2MiB live, 8.1MiB allocated; 0ms collecting garbage

Counts

19 → 63

Calls

Call 1

Inputs
(fma.f64 (.f64 (fma.f64 #s(approx (+ ( 1/7 (* x x)) 1/5) #s(literal 1/5 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x)) x x)
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (.f64 (fma.f64 #s(approx (+ ( 1/7 (* x x)) 1/5) #s(literal 1/5 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x)) x x))
(.f64 (fma.f64 #s(approx (+ ( 1/7 (* x x)) 1/5) #s(literal 1/5 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x))
(fma.f64 #s(approx (+ (* 1/7 (* x x)) 1/5) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
(*.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (+.f64 x x)) #s(literal 1/2 binary64))
#s(approx (log (/ (+ 1 x) (- 1 x))) (+.f64 x x))
(+.f64 x x)
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (.f64 (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))))
#s(approx (+ (* 1/7 (* x x)) 1/5) #s(literal 1/5 binary64))
(log.f64 (.f64 (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x x))) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))))
(.f64 (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x x))) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))
(*.f64 x x)

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

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

inf

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

2.0ms

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

2.0ms

-inf

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

simplify156.0ms (1.8%)

Memory

9.5MiB live, 99.2MiB allocated; 10ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	172	650
1	596	631
2	1953	616
3	7789	616
0	8373	587

Stop Event

1×	iter limit
1×	node limit

Counts

63 → 62

Calls

Call 1

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

Outputs
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x)
(* 1/3 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/3 binary64))
(* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) x) x)
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
(.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x) x)
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* 1/5 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64))
(+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) (.f64 x x) #s(literal 1/3 binary64))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* 2/3 (pow x 2))))
(.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 (* 2 x))
(fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 2 (* 2 x))))
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)) x #s(literal 1 binary64))
(+ 1 x)
(-.f64 x #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(- (* -1 x) 1)
(-.f64 #s(literal -1 binary64) x)
(- (* x (- (* -1 x) 1)) 1)
(-.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) x) #s(literal 1 binary64))
(- (* x (- (* x (- (* -1 x) 1)) 1)) 1)
(-.f64 (.f64 (-.f64 (.f64 (-.f64 #s(literal -1 binary64) x) x) #s(literal 1 binary64)) x) #s(literal 1 binary64))
1/5
#s(literal 1/5 binary64)
(+ 1/5 (* 1/7 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64))
(pow x 2)
(*.f64 x x)
(* 1/7 (pow x 7))
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/7 binary64))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f64 (+.f64 (/.f64 #s(literal 1/5 binary64) (.f64 x x)) #s(literal 1/7 binary64)) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/7 binary64)) (/.f64 #s(literal -1/5 binary64) (.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/7 binary64)) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1/5 binary64)) x) x)) (pow.f64 x #s(literal 7 binary64)))
(* 1/2 (log -1))
(*.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64))
(+ (* 1/2 (log -1)) (/ 1 x))
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) (/.f64 #s(literal -1/5 binary64) (pow.f64 x #s(literal 5 binary64)))))
(* 1/7 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/7 binary64))
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/5 binary64) (.f64 x x)) #s(literal 1/7 binary64)))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/7 binary64)) (/.f64 #s(literal -1/5 binary64) (.f64 x x))))
(* 1/7 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/7 binary64))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1/5 binary64) (.f64 x x)) #s(literal 1/7 binary64)))
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/7 binary64)) (/.f64 #s(literal -1/5 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(log -1)
(log.f64 #s(literal -1 binary64))
(+ (log -1) (* 2 (/ 1 x)))
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) x))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) x) (log.f64 #s(literal -1 binary64)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))
(-.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) x) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal -2/5 binary64) (pow.f64 x #s(literal 5 binary64))))
(* -1 (+ 1 (* 2 (/ 1 x))))
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal 1 binary64))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(-.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x) #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(-.f64 x #s(literal -1 binary64))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (/ 1 x)) x)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)
(/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)) x)
(/ (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) x)
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (/ 1 x))))
(-.f64 #s(literal -1 binary64) x)
(* 1/7 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/7 binary64))
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))
(.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) (+.f64 (/.f64 #s(literal -1/5 binary64) (.f64 x x)) (-.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/7 binary64))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))))
(.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) (-.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/5 binary64) (.f64 x x)) #s(literal 1/7 binary64))))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal -1/5 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) (neg.f64 x)))
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (+.f64 (/.f64 #s(literal -2/3 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal -2/5 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64))) x))
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)
(-.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x) #s(literal 1 binary64))
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1 binary64)) (neg.f64 x))
(* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) x))
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal -1 binary64)) x) #s(literal 1 binary64)) (neg.f64 x))

rewrite153.0ms (1.8%)

Memory

-28.8MiB live, 154.2MiB allocated; 20ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	218
0	59	218
1	209	199
2	1490	192
0	9202	167

Stop Event

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

Counts

19 → 576

Calls

Call 1

Inputs
(fma.f64 (.f64 (fma.f64 #s(approx (+ ( 1/7 (* x x)) 1/5) #s(literal 1/5 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x)) x x)
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (.f64 (fma.f64 #s(approx (+ ( 1/7 (* x x)) 1/5) #s(literal 1/5 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x)) x x))
(.f64 (fma.f64 #s(approx (+ ( 1/7 (* x x)) 1/5) #s(literal 1/5 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x))
(fma.f64 #s(approx (+ (* 1/7 (* x x)) 1/5) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
(*.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (+.f64 x x)) #s(literal 1/2 binary64))
#s(approx (log (/ (+ 1 x) (- 1 x))) (+.f64 x x))
(+.f64 x x)
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (.f64 (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))))
#s(approx (+ (* 1/7 (* x x)) 1/5) #s(literal 1/5 binary64))
(log.f64 (.f64 (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x x))) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))))
(.f64 (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x x))) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))
(*.f64 x x)

Outputs
(.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(approx (+ (* 1/7 (* x x)) 1/5) #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) x) (fma.f64 (fma.f64 (.f64 x x) #s(approx (+ ( 1/7 (* x x)) 1/5) #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64))) (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(approx (+ (* 1/7 (* x x)) 1/5) #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) x) x))
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(/.f64 (fma.f64 (.f64 x (-.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal -1 binary64) (.f64 x x)) (.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))) (.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (*.f64 x x))))
(/.f64 (fma.f64 (.f64 (-.f64 #s(literal -1 binary64) x) x) (-.f64 #s(literal -1 binary64) (.f64 x x)) (.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)))) (.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (.f64 x x))))
(/.f64 (fma.f64 (.f64 (-.f64 #s(literal -1 binary64) x) x) (fma.f64 x x #s(literal 1 binary64)) (.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)))) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (.f64 (-.f64 #s(literal -1 binary64) x) x) (fma.f64 x x #s(literal 1 binary64)) (.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (.f64 (-.f64 #s(literal -1 binary64) x) x) (-.f64 #s(literal -1 binary64) (.f64 x x)) (.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))) (.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (*.f64 x x))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal -1 binary64) (.f64 x x)))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 x x #s(literal 1 binary64)))) (-.f64 x #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64)))
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 x x #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x (-.f64 #s(literal -1 binary64) x)) (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64))) (/.f64 (-.f64 (fma.f64 x x x) (-.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal -1 binary64) (.f64 x x))))
(/.f64 (+.f64 (pow.f64 (/.f64 (.f64 x (-.f64 #s(literal -1 binary64) x)) (fma.f64 x x #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (.f64 x (-.f64 #s(literal -1 binary64) x)) (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 (/.f64 (.f64 x (-.f64 #s(literal -1 binary64) x)) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 x x)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (.f64 (-.f64 #s(literal -1 binary64) (*.f64 x x)) (-.f64 x #s(literal -1 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 (-.f64 #s(literal -1 binary64) (*.f64 x x)) (fma.f64 x (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(/.f64 (.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64))))
(/.f64 (.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(/.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) (.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (*.f64 x x))))
(/.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x)) (.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (.f64 (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) x)) (.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (*.f64 x x))))
(/.f64 (.f64 (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal -1 binary64) x)) (.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64))) x (/.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64))))
(fma.f64 (/.f64 (*.f64 x (-.f64 #s(literal -1 binary64) x)) (fma.f64 x x #s(literal 1 binary64))) #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64))))
(fma.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) x)))
(fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 x x #s(literal 1 binary64))) #s(literal -1 binary64) (/.f64 (*.f64 x (-.f64 #s(literal -1 binary64) x)) (fma.f64 x x #s(literal 1 binary64))))
(fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 x x #s(literal 1 binary64))) x (/.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64))))
(fma.f64 (-.f64 #s(literal -1 binary64) x) (/.f64 x (fma.f64 x x #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64)))))
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (-.f64 #s(literal -1 binary64) x)) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64))))
(fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (*.f64 x (-.f64 #s(literal -1 binary64) x)) (fma.f64 x x #s(literal 1 binary64))))
(fma.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64))))
(fma.f64 x (/.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 (/.f64 (.f64 x (-.f64 #s(literal -1 binary64) x)) (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64)) (/.f64 (-.f64 (fma.f64 x x x) (-.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal -1 binary64) (.f64 x x)))) (/.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64)) (/.f64 (-.f64 (fma.f64 x x x) (-.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal -1 binary64) (*.f64 x x)))))
(-.f64 (.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) x)) (.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64)))) (-.f64 #s(literal -1 binary64) x)))
(-.f64 (.f64 (-.f64 #s(literal -1 binary64) x) (/.f64 x (fma.f64 x x #s(literal 1 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64)))))
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64))) (.f64 #s(literal 1 binary64) (/.f64 (.f64 x (-.f64 #s(literal -1 binary64) x)) (fma.f64 x x #s(literal 1 binary64)))))
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (*.f64 x (-.f64 #s(literal -1 binary64) x)) (fma.f64 x x #s(literal 1 binary64))))
(-.f64 (/.f64 (.f64 x (-.f64 #s(literal -1 binary64) x)) (fma.f64 x x #s(literal 1 binary64))) (.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 x x #s(literal 1 binary64)))))
(-.f64 (/.f64 (.f64 x (-.f64 #s(literal -1 binary64) x)) (fma.f64 x x #s(literal 1 binary64))) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64))) #s(literal -1 binary64)))
(+.f64 (/.f64 (pow.f64 (/.f64 (.f64 x (-.f64 #s(literal -1 binary64) x)) (fma.f64 x x #s(literal 1 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (.f64 x (-.f64 #s(literal -1 binary64) x)) (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 (/.f64 (.f64 x (-.f64 #s(literal -1 binary64) x)) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64))))))) (/.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (.f64 x (-.f64 #s(literal -1 binary64) x)) (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 (/.f64 (*.f64 x (-.f64 #s(literal -1 binary64) x)) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64))))))))
(+.f64 (.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) x)) (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) x)))
(+.f64 (.f64 (-.f64 #s(literal -1 binary64) x) (/.f64 x (fma.f64 x x #s(literal 1 binary64)))) (.f64 (-.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64)))))
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (*.f64 x (-.f64 #s(literal -1 binary64) x)) (fma.f64 x x #s(literal 1 binary64))))
(+.f64 (/.f64 (*.f64 x (-.f64 #s(literal -1 binary64) x)) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(.f64 #s(literal -1 binary64) (.f64 x x))
(.f64 #s(literal 1 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal -1 binary64))
(.f64 (.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
(pow.f64 (exp.f64 (log.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 x x))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))

eval156.0ms (1.8%)

Memory: -0.8MiB live, 151.1MiB allocated; 124ms collecting garbage
Compiler: Compiled 27 327 to 3 296 computations (87.9% saved)

prune36.0ms (0.4%)

Memory

-2.9MiB live, 44.0MiB allocated; 4ms collecting garbage

Pruning

9 alts after pruning (3 fresh and 6 done)

	Pruned	Kept	Total
New	715	3	718
Fresh	0	0	0
Picked	1	3	4
Done	0	3	3
Total	716	9	725

Accuracy

100.0%

Counts

725 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.9%	(*.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (+.f64 x x)) #s(literal 1/2 binary64))
	5.4%	(*.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) #s(literal 0 binary64)) #s(literal 1/2 binary64))
✓	100.0%	(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) (log1p.f64 (*.f64 (neg.f64 x) x))))
	8.5%	(.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (fma.f64 x (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)))))
✓	8.5%	(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
	8.3%	(.f64 #s(literal 1/2 binary64) (log.f64 (.f64 (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))))
✓	99.7%	#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/7 binary64) (.f64 x x) #s(literal 1/5 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x)) x x))
✓	99.6%	#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (.f64 (fma.f64 #s(approx (+ ( 1/7 (* x x)) 1/5) #s(literal 1/5 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x)) x x))
✓	99.4%	#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/3 binary64) x))

Compiler

Compiled 568 to 218 computations (61.6% saved)

regimes18.0ms (0.2%)

Memory

25.7MiB live, 25.7MiB allocated; 0ms collecting garbage

Counts

20 → 1

Calls

Call 1

Inputs
(*.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) #s(literal 0 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (+.f64 x x)) #s(literal 1/2 binary64))
(.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/3 binary64) x))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 #s(literal 2 binary64) x)))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (.f64 (fma.f64 #s(approx (+ ( 1/7 (* x x)) 1/5) #s(literal 1/5 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x)) x x))
(.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/7 binary64) (.f64 x x) #s(literal 1/5 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x)) x x))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x))
(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/7 binary64) (.f64 x x) #s(literal 1/5 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
(.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (fma.f64 x (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)))))
(.f64 #s(literal 1/2 binary64) (log.f64 (.f64 (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (.f64 (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))))
(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) (log1p.f64 (*.f64 (neg.f64 x) x))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) (log1p.f64 (*.f64 (neg.f64 x) x))))

Outputs
(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) (log1p.f64 (*.f64 (neg.f64 x) x))))

Calls

4 calls:

5.0ms	x
4.0ms	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
4.0ms	(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))
4.0ms	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))

Results

Accuracy	Segments	Branch
100.0%	1	`(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))`
100.0%	1	`(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))`
100.0%	1	`(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))`
100.0%	1	`x`

Compiler

Compiled 28 to 21 computations (25% saved)

regimes51.0ms (0.6%)

Memory

-21.3MiB live, 24.0MiB allocated; 5ms collecting garbage

Counts

18 → 1

Calls

Call 1

Inputs
(*.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) #s(literal 0 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (+.f64 x x)) #s(literal 1/2 binary64))
(.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/3 binary64) x))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 #s(literal 2 binary64) x)))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (.f64 (fma.f64 #s(approx (+ ( 1/7 (* x x)) 1/5) #s(literal 1/5 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x)) x x))
(.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/7 binary64) (.f64 x x) #s(literal 1/5 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x)) x x))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x))
(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/7 binary64) (.f64 x x) #s(literal 1/5 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
(.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (fma.f64 x (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)))))
(.f64 #s(literal 1/2 binary64) (log.f64 (.f64 (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (.f64 (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))))

Outputs

#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/7 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x)) x x))

Calls

4 calls:

38.0ms	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
5.0ms	x
4.0ms	(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))
4.0ms	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))

Results

Accuracy	Segments	Branch
99.7%	1	`(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))`
99.7%	1	`(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))`
99.7%	1	`(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))`
99.7%	1	`x`

Compiler

Compiled 28 to 21 computations (25% saved)

regimes9.0ms (0.1%)

Memory

12.8MiB live, 12.8MiB allocated; 0ms collecting garbage

Counts

8 → 1

Calls

Call 1

Inputs
(*.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) #s(literal 0 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (+.f64 x x)) #s(literal 1/2 binary64))
(.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/3 binary64) x))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 #s(literal 2 binary64) x)))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (.f64 (fma.f64 #s(approx (+ ( 1/7 (* x x)) 1/5) #s(literal 1/5 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x)) x x))
(.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)))

Outputs
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (.f64 (fma.f64 #s(approx (+ ( 1/7 (* x x)) 1/5) #s(literal 1/5 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x)) x x))

Calls

4 calls:

3.0ms	x
2.0ms	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
2.0ms	(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))
2.0ms	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))

Results

Accuracy	Segments	Branch
99.6%	1	`(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))`
99.6%	1	`(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))`
99.6%	1	`(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))`
99.6%	1	`x`

Compiler

Compiled 28 to 21 computations (25% saved)

regimes7.0ms (0.1%)

Memory

11.1MiB live, 11.1MiB allocated; 0ms collecting garbage

Counts

5 → 1

Calls

Call 1

Inputs
(*.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) #s(literal 0 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (+.f64 x x)) #s(literal 1/2 binary64))
(.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/3 binary64) x))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 #s(literal 2 binary64) x)))

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

Calls

4 calls:

2.0ms	x
1.0ms	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
1.0ms	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
1.0ms	(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))

Results

Accuracy	Segments	Branch
99.4%	1	`(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))`
99.4%	1	`(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))`
99.4%	1	`(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))`
99.4%	1	`x`

Compiler

Compiled 28 to 21 computations (25% saved)

regimes5.0ms (0.1%)

Memory

8.8MiB live, 8.8MiB allocated; 0ms collecting garbage

Counts

3 → 1

Calls

Call 1

Inputs

(*.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) #s(literal 0 binary64)) #s(literal 1/2 binary64))

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

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

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

Calls

4 calls:

2.0ms	x
1.0ms	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
1.0ms	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
1.0ms	(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))

Results

Accuracy	Segments	Branch
98.9%	1	`(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))`
98.9%	1	`(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))`
98.9%	1	`(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))`
98.9%	1	`x`

Compiler

Compiled 28 to 21 computations (25% saved)

regimes6.0ms (0.1%)

Memory

-50.1MiB live, 8.2MiB allocated; 3ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) #s(literal 0 binary64)) #s(literal 1/2 binary64))

Outputs
(*.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) #s(literal 0 binary64)) #s(literal 1/2 binary64))

Calls

4 calls:

3.0ms	x
1.0ms	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
1.0ms	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
1.0ms	(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))

Results

Accuracy	Segments	Branch
5.4%	1	`(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))`
5.4%	1	`(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))`
5.4%	1	`(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))`
5.4%	1	`x`

Compiler

Compiled 28 to 21 computations (25% saved)

simplify16.0ms (0.2%)

Memory

18.7MiB live, 18.7MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	118
1	64	118
2	106	118
3	183	118
4	250	118
5	260	118
6	264	118
7	268	118
8	272	118
9	280	118
10	292	118
11	304	118

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) (log1p.f64 (*.f64 (neg.f64 x) x))))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/7 binary64) (.f64 x x) #s(literal 1/5 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x)) x x))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (.f64 (fma.f64 #s(approx (+ ( 1/7 (* x x)) 1/5) #s(literal 1/5 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x)) x x))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/3 binary64) x))
(*.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (+.f64 x x)) #s(literal 1/2 binary64))
(*.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) #s(literal 0 binary64)) #s(literal 1/2 binary64))

Outputs
(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) (log1p.f64 (*.f64 (neg.f64 x) x))))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/7 binary64) (.f64 x x) #s(literal 1/5 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x)) x x))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (.f64 (fma.f64 #s(approx (+ ( 1/7 (* x x)) 1/5) #s(literal 1/5 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x)) x x))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/3 binary64) x))
(*.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (+.f64 x x)) #s(literal 1/2 binary64))
(*.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) #s(literal 0 binary64)) #s(literal 1/2 binary64))

derivations843.0ms (9.9%)

Memory

-1.3MiB live, 369.8MiB allocated; 24ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	110	303
1	399	292
2	1325	285
3	5598	285
0	8228	264
0	40	219
0	67	213
1	250	213
2	1737	213
0	8729	210
0	38	218
0	59	218
1	209	199
2	1490	192
0	9202	167
0	39	254
0	66	240
1	245	240
2	1686	240
0	8191	238
0	9	29
0	16	29
1	50	28
2	268	28
3	2887	28
0	9198	22
0	285	1411
1	962	1363
2	3064	1338
0	8307	1283

Stop Event

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

Compiler

Compiled 124 to 46 computations (62.9% saved)

preprocess33.0ms (0.4%)

Memory: 35.6MiB live, 35.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 272 to 110 computations (59.6% saved)

end0.0ms (0%)

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

Iter	Nodes	Cost
0	43	118
1	64	118
2	106	118
3	183	118
4	250	118
5	260	118
6	264	118
7	268	118
8	272	118
9	280	118
10	292	118
11	304	118

Iter	Nodes	Cost
0	43	118
1	64	118
2	106	118
3	183	118
4	250	118
5	260	118
6	264	118
7	268	118
8	272	118
9	280	118
10	292	118
11	304	118

start0.0ms (0%)

analyze3.0ms (0%)

sample3.8s (44.9%)

explain272.0ms (3.2%)

preprocess13.0ms (0.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify4.0ms (0%)

localize117.0ms (1.4%)

series4.0ms (0%)

simplify180.0ms (2.1%)

rewrite195.0ms (2.3%)

eval102.0ms (1.2%)

prune23.0ms (0.3%)

simplify152.0ms (1.8%)

localize303.0ms (3.5%)

series15.0ms (0.2%)

simplify160.0ms (1.9%)

rewrite216.0ms (2.5%)

eval72.0ms (0.8%)

prune17.0ms (0.2%)

simplify129.0ms (1.5%)

localize334.0ms (3.9%)

series12.0ms (0.1%)

simplify184.0ms (2.2%)

rewrite209.0ms (2.4%)

eval104.0ms (1.2%)

prune11.0ms (0.1%)

simplify97.0ms (1.1%)

localize283.0ms (3.3%)

series6.0ms (0.1%)

simplify156.0ms (1.8%)

rewrite153.0ms (1.8%)

eval156.0ms (1.8%)

prune36.0ms (0.4%)

regimes18.0ms (0.2%)

regimes51.0ms (0.6%)

regimes9.0ms (0.1%)

regimes7.0ms (0.1%)

regimes5.0ms (0.1%)

regimes6.0ms (0.1%)

simplify16.0ms (0.2%)

derivations843.0ms (9.9%)

preprocess33.0ms (0.4%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	43	118
1	64	118
2	106	118
3	183	118
4	250	118
5	260	118
6	264	118
7	268	118
8	272	118
9	280	118
10	292	118
11	304	118