Metrics for Hyperbolic arc-(co)secant

start0.0ms (0%)

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

analyze3.0ms (0.1%)

Memory

4.0MiB live, 4.0MiB 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
33.3%	12.5%	25%	0%	0%	62.5%	0%	4
60%	18.7%	12.5%	0%	0%	68.7%	0%	5
77.8%	21.9%	6.2%	0%	0%	71.8%	0%	6
88.2%	23.4%	3.1%	0%	0%	73.4%	0%	7
93.9%	24.2%	1.6%	0%	0%	74.2%	0%	8
96.9%	24.6%	0.8%	0%	0%	74.6%	0%	9
98.4%	24.8%	0.4%	0%	0%	74.8%	0%	10
99.2%	24.9%	0.2%	0%	0%	74.9%	0%	11
99.6%	24.9%	0.1%	0%	0%	74.9%	0%	12

Compiler

Compiled 15 to 11 computations (26.7% saved)

sample1.1s (31.4%)

Memory

54.3MiB live, 1 337.4MiB allocated; 379ms collecting garbage

Samples

749.0ms	8 256×	0	valid
1.0ms	20×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 515.0ms

ival-div: 190.0ms (36.9% of total)

ival-log: 86.0ms (16.7% of total)

ival-add: 66.0ms (12.8% of total)

ival-sqrt: 64.0ms (12.4% of total)

ival-mult: 54.0ms (10.5% of total)

ival-sub: 39.0ms (7.6% of total)

ival-true: 5.0ms (1% of total)

exact: 5.0ms (1% of total)

adjust: 3.0ms (0.6% of total)

ival-assert: 3.0ms (0.6% of total)

Bogosity

explain161.0ms (4.6%)

Memory

-3.3MiB live, 144.6MiB allocated; 24ms collecting garbage

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

40.0ms

512×

valid

Compiler

Compiled 121 to 31 computations (74.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-div: 7.0ms (27.6% of total)

ival-log: 5.0ms (19.7% of total)

ival-mult: 4.0ms (15.8% of total)

ival-sqrt: 4.0ms (15.8% of total)

ival-sub: 3.0ms (11.8% of total)

ival-add: 2.0ms (7.9% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

preprocess226.0ms (6.5%)

Memory

31.5MiB live, 330.0MiB allocated; 28ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	25
1	32	25
2	73	25
3	118	25
4	252	25
5	933	25
6	3652	25
0	9	13
0	16	11
1	27	11
2	53	11
3	97	11
4	189	11
5	675	11
6	6886	11
0	8335	11

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Compiler

Compiled 13 to 9 computations (30.8% saved)

eval0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

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

Alt Table

Click to see full alt table

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

Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify157.0ms (4.5%)

Memory

0.2MiB live, 184.9MiB allocated; 20ms collecting garbage

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	52
0	16	48
1	27	48
2	53	48
3	97	48
4	189	48
5	675	48
6	6886	48
0	8335	48

Stop Event

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

Calls

Call 1

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

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

localize37.0ms (1.1%)

Memory

-8.4MiB live, 35.0MiB allocated; 12ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
accuracy	0.0	(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
accuracy	0.00390625	(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)
accuracy	0.0078125	(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))

Samples

30.0ms

256×

valid

Compiler

Compiled 54 to 11 computations (79.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-sqrt: 12.0ms (51.9% of total)

ival-div: 4.0ms (17.3% of total)

ival-log: 3.0ms (13% of total)

ival-mult: 2.0ms (8.6% of total)

ival-add: 1.0ms (4.3% of total)

ival-sub: 1.0ms (4.3% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series6.0ms (0.2%)

Memory

7.8MiB live, 7.8MiB allocated; 0ms collecting garbage

Counts

5 → 46

Calls

Call 1

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

Outputs
(/ 2 x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
(/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)
(/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x)
(+ (log 2) (* -1 (log x)))
(+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2))))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4))))
(/ 1 x)
(/ (+ 1 (* -1/2 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x)
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))
(sqrt -1)
(+ (sqrt -1) (/ 1 x))
(+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x)))
(- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))
(log (sqrt -1))
(+ (log (sqrt -1)) (/ 1 (* x (sqrt -1))))
(- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3))))
(- (+ (log (sqrt -1)) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))))
(+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))
(- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))
(- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))
(* x (sqrt -1))
(* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))))
(* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))))
(* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))
(* -1 (sqrt -1))
(+ (* -1 (sqrt -1)) (/ 1 x))
(+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x)))
(+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x)))
(log (* -1 (sqrt -1)))
(- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)))
(- (* -1 (sqrt -1)) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))
(- (+ (* -1 (sqrt -1)) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))) (/ 1/2 (* (pow x 2) (sqrt -1))))
(- (+ (* -1 (sqrt -1)) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5))))))
(* -1 (* x (sqrt -1)))
(* -1 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))))
(* -1 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))))
(* -1 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))

Calls

3 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	((+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (/ 1 x) (/ (sqrt (- 1 (* x x))) x) (sqrt (- 1 (* x x))))
2.0ms	x	@	-inf	((+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (/ 1 x) (/ (sqrt (- 1 (* x x))) x) (sqrt (- 1 (* x x))))
1.0ms	x	@	0	((+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (/ 1 x) (/ (sqrt (- 1 (* x x))) x) (sqrt (- 1 (* x x))))

Time

Variable

Point

Expression

3.0ms

inf

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

2.0ms

-inf

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

1.0ms

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

simplify177.0ms (5.1%)

Memory

-5.0MiB live, 138.8MiB allocated; 48ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	155	722
1	420	699
2	1325	664
0	6210	643

Stop Event

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

Counts

46 → 46

Calls

Call 1

Inputs
(/ 2 x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
(/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)
(/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x)
(+ (log 2) (* -1 (log x)))
(+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2))))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4))))
(/ 1 x)
(/ (+ 1 (* -1/2 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x)
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))
(sqrt -1)
(+ (sqrt -1) (/ 1 x))
(+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x)))
(- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))
(log (sqrt -1))
(+ (log (sqrt -1)) (/ 1 (* x (sqrt -1))))
(- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3))))
(- (+ (log (sqrt -1)) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))))
(+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))
(- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))
(- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))
(* x (sqrt -1))
(* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))))
(* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))))
(* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))
(* -1 (sqrt -1))
(+ (* -1 (sqrt -1)) (/ 1 x))
(+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x)))
(+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x)))
(log (* -1 (sqrt -1)))
(- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)))
(- (* -1 (sqrt -1)) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))
(- (+ (* -1 (sqrt -1)) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))) (/ 1/2 (* (pow x 2) (sqrt -1))))
(- (+ (* -1 (sqrt -1)) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5))))))
(* -1 (* x (sqrt -1)))
(* -1 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))))
(* -1 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))))
(* -1 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))

Outputs
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
(/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)
(/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)
(/.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 2 binary64)) x)
(/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (.f64 x x) #s(literal -1/8 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(+ (log 2) (* -1 (log x)))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2))))
(fma.f64 (*.f64 #s(literal -1/4 binary64) x) x (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))))
(fma.f64 (.f64 (-.f64 (.f64 #s(literal -3/32 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) x) x (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4))))
(fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -5/96 binary64) (.f64 x x)) #s(literal 3/32 binary64)) x) x) #s(literal 1/4 binary64)) (*.f64 x x) (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* -1/2 (pow x 2))) x)
(/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) x)
(/ (+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)
(/.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (.f64 x x) #s(literal -1/8 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))
(fma.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (.f64 x x) #s(literal -1/8 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(sqrt -1)
(sqrt.f64 #s(literal -1 binary64))
(+ (sqrt -1) (/ 1 x))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
(+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x)))
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) #s(literal 1 binary64)) x) (sqrt.f64 #s(literal -1 binary64)))
(- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))
(-.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) #s(literal 1 binary64)) x) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 4 binary64))))
(log (sqrt -1))
(log.f64 (sqrt.f64 #s(literal -1 binary64)))
(+ (log (sqrt -1)) (/ 1 (* x (sqrt -1))))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (log.f64 (sqrt.f64 #s(literal -1 binary64))))
(- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3))))
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (log.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1/6 binary64) (pow.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal 3 binary64))))
(- (+ (log (sqrt -1)) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))))
(-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (log.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1/6 binary64) (pow.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal 3 binary64)))) (/.f64 (/.f64 #s(literal -3/40 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (pow.f64 x #s(literal 5 binary64))))
(+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))
(+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (sqrt.f64 #s(literal -1 binary64)))
(- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))
(-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/8 binary64) (neg.f64 (pow.f64 x #s(literal 4 binary64))))) (sqrt.f64 #s(literal -1 binary64))))
(- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))
(-.f64 (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/8 binary64) (neg.f64 (pow.f64 x #s(literal 4 binary64))))) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64))))
(* x (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) x)
(* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))))
(.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (sqrt.f64 #s(literal -1 binary64))) x)
(* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))))
(.f64 (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (.f64 x x)) (/.f64 #s(literal 1/8 binary64) (neg.f64 (pow.f64 x #s(literal 4 binary64))))) (sqrt.f64 #s(literal -1 binary64)))) x)
(* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))
(.f64 (-.f64 (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (.f64 x x)) (/.f64 #s(literal 1/8 binary64) (neg.f64 (pow.f64 x #s(literal 4 binary64))))) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64)))) x)
(* -1 (sqrt -1))
(neg.f64 (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1 (sqrt -1)) (/ 1 x))
(-.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x)))
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) #s(literal 1 binary64)) (neg.f64 x)) (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x)))
(-.f64 (/.f64 (fma.f64 (-.f64 (/.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) x) x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (neg.f64 x)) (sqrt.f64 #s(literal -1 binary64)))
(log (* -1 (sqrt -1)))
(log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))
(-.f64 (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)))
(-.f64 (-.f64 (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) x))) (/.f64 #s(literal -1/6 binary64) (pow.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal 3 binary64))))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)))
(-.f64 (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 3/40 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (/.f64 (/.f64 #s(literal -1/6 binary64) (sqrt.f64 #s(literal -1 binary64))) x) x)) x))
(- (* -1 (sqrt -1)) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))
(-.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (sqrt.f64 #s(literal -1 binary64)))
(- (+ (* -1 (sqrt -1)) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))) (/ 1/2 (* (pow x 2) (sqrt -1))))
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/8 binary64) (neg.f64 (pow.f64 x #s(literal 4 binary64))))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64)))
(- (+ (* -1 (sqrt -1)) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5))))))
(-.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/8 binary64) (neg.f64 (pow.f64 x #s(literal 4 binary64))))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64)))
(* -1 (* x (sqrt -1)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal -1 binary64)))
(* -1 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))))
(.f64 (-.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (sqrt.f64 #s(literal -1 binary64))) x)
(* -1 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))))
(.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (.f64 x x)) (/.f64 #s(literal 1/8 binary64) (neg.f64 (pow.f64 x #s(literal 4 binary64))))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64))) x)
(* -1 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))
(.f64 (neg.f64 x) (-.f64 (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (.f64 x x)) (/.f64 #s(literal 1/8 binary64) (neg.f64 (pow.f64 x #s(literal 4 binary64))))) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64)))))

rewrite55.0ms (1.6%)

Memory

5.3MiB live, 50.0MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	42
0	16	24
1	72	24
0	596	23

Stop Event

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

Counts

5 → 65

Calls

Call 1

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

Outputs
(/.f64 (/.f64 (fma.f64 (sin.f64 (acos.f64 x)) x x) (neg.f64 x)) (neg.f64 x))
(/.f64 (/.f64 (fma.f64 (sin.f64 (acos.f64 x)) x x) (fabs.f64 x)) (fabs.f64 x))
(/.f64 (/.f64 (fma.f64 (sin.f64 (acos.f64 x)) x x) x) x)
(/.f64 (-.f64 (pow.f64 (tan.f64 (acos.f64 x)) #s(literal 2 binary64)) (pow.f64 x #s(literal -2 binary64))) (-.f64 (tan.f64 (acos.f64 x)) (pow.f64 x #s(literal -1 binary64))))
(/.f64 (+.f64 (neg.f64 (sin.f64 (acos.f64 x))) #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 (acos.f64 x)))) (neg.f64 x))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (tan.f64 (acos.f64 x)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (tan.f64 (acos.f64 x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (tan.f64 (acos.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal -3 binary64)))) (neg.f64 (fma.f64 (tan.f64 (acos.f64 x)) (-.f64 (tan.f64 (acos.f64 x)) (pow.f64 x #s(literal -1 binary64))) (pow.f64 x #s(literal -2 binary64)))))
(/.f64 (neg.f64 (+.f64 (sin.f64 (acos.f64 x)) #s(literal 1 binary64))) (neg.f64 x))
(/.f64 (neg.f64 (fma.f64 (sin.f64 (acos.f64 x)) x x)) (*.f64 (neg.f64 x) x))
(/.f64 (fma.f64 (neg.f64 (sin.f64 (acos.f64 x))) (neg.f64 x) (.f64 (neg.f64 x) #s(literal -1 binary64))) (.f64 x x))
(/.f64 (fma.f64 (neg.f64 (sin.f64 (acos.f64 x))) x (.f64 (neg.f64 x) #s(literal 1 binary64))) (.f64 (neg.f64 x) x))
(/.f64 (fma.f64 (sin.f64 (acos.f64 x)) (neg.f64 x) (.f64 x #s(literal -1 binary64))) (.f64 (neg.f64 x) x))
(/.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 x) (.f64 (neg.f64 x) (neg.f64 (sin.f64 (acos.f64 x))))) (.f64 x x))
(/.f64 (fma.f64 #s(literal -1 binary64) x (.f64 (neg.f64 x) (sin.f64 (acos.f64 x)))) (.f64 (neg.f64 x) x))
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 x) (.f64 x (neg.f64 (sin.f64 (acos.f64 x))))) (.f64 (neg.f64 x) x))
(/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (tan.f64 (acos.f64 x)) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal -1 binary64)) (tan.f64 (acos.f64 x))))
(/.f64 (+.f64 (pow.f64 (tan.f64 (acos.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal -3 binary64))) (+.f64 (pow.f64 (tan.f64 (acos.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (tan.f64 (acos.f64 x)) (pow.f64 x #s(literal -1 binary64))))))
(/.f64 (+.f64 (pow.f64 (tan.f64 (acos.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal -3 binary64))) (fma.f64 (tan.f64 (acos.f64 x)) (-.f64 (tan.f64 (acos.f64 x)) (pow.f64 x #s(literal -1 binary64))) (pow.f64 x #s(literal -2 binary64))))
(/.f64 (+.f64 (sin.f64 (acos.f64 x)) #s(literal 1 binary64)) x)
(/.f64 (fma.f64 (sin.f64 (acos.f64 x)) x x) (*.f64 x x))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) (tan.f64 (acos.f64 x)))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)) (tan.f64 (acos.f64 x)))
(-.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 (pow.f64 x #s(literal -1 binary64)) (tan.f64 (acos.f64 x)))) (/.f64 (pow.f64 (tan.f64 (acos.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal -1 binary64)) (tan.f64 (acos.f64 x)))))
(+.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (fma.f64 (tan.f64 (acos.f64 x)) (-.f64 (tan.f64 (acos.f64 x)) (pow.f64 x #s(literal -1 binary64))) (pow.f64 x #s(literal -2 binary64)))) (/.f64 (pow.f64 (tan.f64 (acos.f64 x)) #s(literal 3 binary64)) (fma.f64 (tan.f64 (acos.f64 x)) (-.f64 (tan.f64 (acos.f64 x)) (pow.f64 x #s(literal -1 binary64))) (pow.f64 x #s(literal -2 binary64)))))
(+.f64 (/.f64 x (.f64 x x)) (/.f64 (.f64 (sin.f64 (acos.f64 x)) x) (*.f64 x x)))
(+.f64 (tan.f64 (acos.f64 x)) (pow.f64 x #s(literal -1 binary64)))
(+.f64 (pow.f64 x #s(literal -1 binary64)) (tan.f64 (acos.f64 x)))
(-.f64 (log.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (tan.f64 (acos.f64 x)) #s(literal 2 binary64)))) (log.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (tan.f64 (acos.f64 x)))))
(-.f64 (log.f64 (+.f64 (pow.f64 (tan.f64 (acos.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal -3 binary64)))) (log.f64 (fma.f64 (tan.f64 (acos.f64 x)) (-.f64 (tan.f64 (acos.f64 x)) (pow.f64 x #s(literal -1 binary64))) (pow.f64 x #s(literal -2 binary64)))))
(-.f64 (log1p.f64 (sin.f64 (acos.f64 x))) (log.f64 x))
(-.f64 (log.f64 (fma.f64 (sin.f64 (acos.f64 x)) x x)) (log.f64 (*.f64 x x)))
(log.f64 (+.f64 (tan.f64 (acos.f64 x)) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))
(pow.f64 x #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) x)
(neg.f64 (/.f64 #s(literal -1 binary64) x))
(neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))
(/.f64 (neg.f64 (neg.f64 (sin.f64 (acos.f64 x)))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (sin.f64 (acos.f64 x))) (neg.f64 x))
(/.f64 (sin.f64 (acos.f64 x)) (cos.f64 (acos.f64 x)))
(/.f64 (sin.f64 (acos.f64 x)) x)
(neg.f64 (/.f64 (neg.f64 (sin.f64 (acos.f64 x))) x))
(neg.f64 (/.f64 (sin.f64 (acos.f64 x)) (neg.f64 x)))
(tan.f64 (+.f64 (acos.f64 x) (PI.f64)))
(tan.f64 (acos.f64 x))
(.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64)))
(pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))))
(sin.f64 (+.f64 (asin.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (acos.f64 (neg.f64 x)))
(sin.f64 (acos.f64 (fabs.f64 x)))
(sin.f64 (acos.f64 x))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(cos.f64 (neg.f64 (asin.f64 x)))
(cos.f64 (asin.f64 (neg.f64 x)))
(cos.f64 (asin.f64 (fabs.f64 x)))
(cos.f64 (asin.f64 x))
(exp.f64 (.f64 (log1p.f64 (.f64 (neg.f64 x) x)) #s(literal 1/2 binary64)))

eval17.0ms (0.5%)

Memory: -13.3MiB live, 33.3MiB allocated; 3ms collecting garbage
Compiler: Compiled 2 237 to 510 computations (77.2% saved)

prune3.0ms (0.1%)

Memory

11.3MiB live, 11.3MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	108	3	111
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	109	3	112

Accuracy

100.0%

Counts

112 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)))
▶	99.9%	(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x)))
▶	0.0%	(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64))))

Status

Accuracy

Program

▶

100.0%

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

▶

99.9%

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

▶

0.0%

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

Compiler

Compiled 55 to 39 computations (29.1% saved)

simplify223.0ms (6.3%)

Memory

-30.0MiB live, 217.9MiB allocated; 19ms collecting garbage

Localize:

Found 10 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	135
0	31	123
1	49	123
2	108	123
3	276	120
4	740	120
5	3502	120
6	6729	120
0	8269	117

Stop Event

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

Calls

Call 1

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

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

localize103.0ms (2.9%)

Memory

9.8MiB live, 112.9MiB allocated; 6ms collecting garbage

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)
accuracy	0.0	(*.f64 x x)
accuracy	0.0	(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)))
accuracy	0.0	#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x))
accuracy	0.0	(/.f64 #s(literal 2 binary64) x)
accuracy	0.0	(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x)))
accuracy	0.0	#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x))
accuracy	0.0	(sqrt.f64 #s(literal -1 binary64))
accuracy	0.0	(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64))))
accuracy	0.0	#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64)))

Samples

84.0ms

256×

invalid

Compiler

Compiled 107 to 19 computations (82.2% saved)

Precisions

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

ival-div: 7.0ms (29.5% of total)

ival-add: 5.0ms (21.1% of total)

ival-mult: 3.0ms (12.6% of total)

ival-log: 3.0ms (12.6% of total)

ival-sqrt: 3.0ms (12.6% of total)

ival-sub: 1.0ms (4.2% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory

10.4MiB live, 10.4MiB allocated; 0ms collecting garbage

Counts

11 → 32

Calls

Call 1

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

Outputs
(+ (log 2) (* -1 (log x)))
(+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2))))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4))))
(/ 2 x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
(/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)
(/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x)
2
(+ 2 (* -1/2 (pow x 2)))
(pow x 2)
(log (sqrt -1))
(+ (log (sqrt -1)) (/ 1 (* x (sqrt -1))))
(- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3))))
(- (+ (log (sqrt -1)) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))))
(sqrt -1)
(+ (sqrt -1) (/ 1 x))
(+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x)))
(- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))
(* -1/2 x)
(* x (- (* 2 (/ 1 (pow x 2))) 1/2))
(* -1/2 (pow x 2))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))
(log (* -1 (sqrt -1)))
(- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)))
(* -1 (sqrt -1))
(+ (* -1 (sqrt -1)) (/ 1 x))
(+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x)))
(+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x)))
(* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2))))))

Calls

3 calls:

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

Time

Variable

Point

Expression

1.0ms

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

1.0ms

-inf

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

1.0ms

inf

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

simplify181.0ms (5.2%)

Memory

-19.6MiB live, 122.8MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	133	391
1	346	376
2	1089	370
0	5119	360

Stop Event

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

Counts

32 → 32

Calls

Call 1

Inputs
(+ (log 2) (* -1 (log x)))
(+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2))))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4))))
(/ 2 x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
(/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)
(/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x)
2
(+ 2 (* -1/2 (pow x 2)))
(pow x 2)
(log (sqrt -1))
(+ (log (sqrt -1)) (/ 1 (* x (sqrt -1))))
(- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3))))
(- (+ (log (sqrt -1)) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))))
(sqrt -1)
(+ (sqrt -1) (/ 1 x))
(+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x)))
(- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))
(* -1/2 x)
(* x (- (* 2 (/ 1 (pow x 2))) 1/2))
(* -1/2 (pow x 2))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))
(log (* -1 (sqrt -1)))
(- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)))
(* -1 (sqrt -1))
(+ (* -1 (sqrt -1)) (/ 1 x))
(+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x)))
(+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x)))
(* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2))))))

Outputs
(+ (log 2) (* -1 (log x)))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2))))
(fma.f64 (*.f64 #s(literal -1/4 binary64) x) x (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))))
(fma.f64 (.f64 (-.f64 (.f64 #s(literal -3/32 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) x) x (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4))))
(fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -5/96 binary64) (.f64 x x)) #s(literal 3/32 binary64)) x) x) #s(literal 1/4 binary64)) (*.f64 x x) (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64)) x)
(/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)
(/.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 2 binary64)) x)
(/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (.f64 x x) #s(literal -1/8 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
2
#s(literal 2 binary64)
(+ 2 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64))
(pow x 2)
(*.f64 x x)
(log (sqrt -1))
(log.f64 (sqrt.f64 #s(literal -1 binary64)))
(+ (log (sqrt -1)) (/ 1 (* x (sqrt -1))))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (log.f64 (sqrt.f64 #s(literal -1 binary64))))
(- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3))))
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (log.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1/6 binary64) (pow.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal 3 binary64))))
(- (+ (log (sqrt -1)) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))))
(-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (log.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1/6 binary64) (pow.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal 3 binary64)))) (/.f64 (/.f64 #s(literal -3/40 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (pow.f64 x #s(literal 5 binary64))))
(sqrt -1)
(sqrt.f64 #s(literal -1 binary64))
(+ (sqrt -1) (/ 1 x))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
(+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x)))
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) #s(literal 1 binary64)) x) (sqrt.f64 #s(literal -1 binary64)))
(- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))
(-.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) #s(literal 1 binary64)) x) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 4 binary64))))
(* -1/2 x)
(*.f64 #s(literal -1/2 binary64) x)
(* x (- (* 2 (/ 1 (pow x 2))) 1/2))
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 1/2 binary64)) x)
(* -1/2 (pow x 2))
(.f64 #s(literal -1/2 binary64) (.f64 x x))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))
(.f64 (.f64 (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 1/2 binary64)) x) x)
(log (* -1 (sqrt -1)))
(log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))
(-.f64 (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)))
(-.f64 (-.f64 (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) x))) (/.f64 #s(literal -1/6 binary64) (pow.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal 3 binary64))))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)))
(-.f64 (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 3/40 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal -1/6 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) x))) x))
(* -1 (sqrt -1))
(neg.f64 (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1 (sqrt -1)) (/ 1 x))
(-.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x)))
(neg.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) #s(literal 1 binary64)) x) (sqrt.f64 #s(literal -1 binary64))))
(+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x)))
(neg.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) x) #s(literal -1 binary64) #s(literal -1 binary64)) x) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2))))))
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 1/2 binary64)) x)

rewrite56.0ms (1.6%)

Memory

7.6MiB live, 54.4MiB allocated; 1ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	129
0	31	99
1	112	99
0	848	99

Stop Event

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

Counts

11 → 77

Calls

Call 1

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

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

eval12.0ms (0.3%)

Memory: 18.6MiB live, 18.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 2 750 to 511 computations (81.4% saved)

prune4.0ms (0.1%)

Memory

6.4MiB live, 6.4MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	104	1	105
Fresh	0	0	0
Picked	1	2	3
Done	0	0	0
Total	105	3	108

Accuracy

100.0%

Counts

108 → 3

Alt Table

Click to see full alt table

Status

Accuracy

Program

✓

100.0%

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

✓

99.9%

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

▶

0.0%

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

Compiler

Compiled 66 to 45 computations (31.8% saved)

simplify132.0ms (3.8%)

Memory

-14.0MiB live, 74.6MiB allocated; 15ms collecting garbage

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	71
0	19	67
1	39	67
2	96	67
3	264	61
4	727	61
5	3496	61
6	6746	61
0	8286	58

Stop Event

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

Calls

Call 1

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

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

localize84.0ms (2.4%)

Memory

0.1MiB live, 96.0MiB allocated; 12ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 #s(literal -1/2 binary64) x)
accuracy	0.0	(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* (* x x) -1/2) 2) x) (*.f64 #s(literal -1/2 binary64) x))))
accuracy	0.0	#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* (* x x) -1/2) 2) x) (*.f64 #s(literal -1/2 binary64) x)))
accuracy	62.998509809898145	#s(approx (/ (+ (* (* x x) -1/2) 2) x) (*.f64 #s(literal -1/2 binary64) x))

Samples

77.0ms

256×

valid

Compiler

Compiled 41 to 17 computations (58.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-sqrt: 15.0ms (45.1% of total)

ival-mult: 7.0ms (21% of total)

ival-div: 5.0ms (15% of total)

ival-log: 3.0ms (9% of total)

ival-add: 2.0ms (6% of total)

ival-sub: 1.0ms (3% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory

12.1MiB live, 12.1MiB allocated; 0ms collecting garbage

Counts

4 → 27

Calls

Call 1

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

Outputs
(+ (log 2) (* -1 (log x)))
(+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2))))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4))))
(/ 2 x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
(/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)
(/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x)
(* -1/2 x)
(log (sqrt -1))
(+ (log (sqrt -1)) (/ 1 (* x (sqrt -1))))
(- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3))))
(- (+ (log (sqrt -1)) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))))
(sqrt -1)
(+ (sqrt -1) (/ 1 x))
(+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x)))
(- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))
(* x (- (* 2 (/ 1 (pow x 2))) 1/2))
(log (* -1 (sqrt -1)))
(- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)))
(* -1 (sqrt -1))
(+ (* -1 (sqrt -1)) (/ 1 x))
(+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x)))
(+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x)))
(* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2))))))

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

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

1.0ms

-inf

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

1.0ms

inf

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

simplify197.0ms (5.6%)

Memory

-32.1MiB live, 134.6MiB allocated; 104ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	132	364
1	344	349
2	1085	343
0	5116	334

Stop Event

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

Counts

27 → 27

Calls

Call 1

Inputs
(+ (log 2) (* -1 (log x)))
(+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2))))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4))))
(/ 2 x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
(/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)
(/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x)
(* -1/2 x)
(log (sqrt -1))
(+ (log (sqrt -1)) (/ 1 (* x (sqrt -1))))
(- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3))))
(- (+ (log (sqrt -1)) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))))
(sqrt -1)
(+ (sqrt -1) (/ 1 x))
(+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x)))
(- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))
(* x (- (* 2 (/ 1 (pow x 2))) 1/2))
(log (* -1 (sqrt -1)))
(- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)))
(* -1 (sqrt -1))
(+ (* -1 (sqrt -1)) (/ 1 x))
(+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x)))
(+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x)))
(* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2))))))

Outputs
(+ (log 2) (* -1 (log x)))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2))))
(fma.f64 (*.f64 #s(literal -1/4 binary64) x) x (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))))
(fma.f64 (.f64 (-.f64 (.f64 #s(literal -3/32 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) x) x (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4))))
(fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -5/96 binary64) (.f64 x x)) #s(literal 3/32 binary64)) x) x) #s(literal 1/4 binary64)) (*.f64 x x) (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
(/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)
(/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)
(/.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 2 binary64)) x)
(/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (.f64 x x) #s(literal -1/8 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(* -1/2 x)
(*.f64 #s(literal -1/2 binary64) x)
(log (sqrt -1))
(log.f64 (sqrt.f64 #s(literal -1 binary64)))
(+ (log (sqrt -1)) (/ 1 (* x (sqrt -1))))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (log.f64 (sqrt.f64 #s(literal -1 binary64))))
(- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3))))
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (log.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1/6 binary64) (pow.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal 3 binary64))))
(- (+ (log (sqrt -1)) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))))
(-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (log.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1/6 binary64) (pow.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal 3 binary64)))) (/.f64 (/.f64 #s(literal -3/40 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (pow.f64 x #s(literal 5 binary64))))
(sqrt -1)
(sqrt.f64 #s(literal -1 binary64))
(+ (sqrt -1) (/ 1 x))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
(+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x)))
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) #s(literal 1 binary64)) x) (sqrt.f64 #s(literal -1 binary64)))
(- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))
(-.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) #s(literal 1 binary64)) x) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 4 binary64))))
(* x (- (* 2 (/ 1 (pow x 2))) 1/2))
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 1/2 binary64)) x)
(log (* -1 (sqrt -1)))
(log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))
(-.f64 (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)))
(-.f64 (-.f64 (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) x))) (/.f64 #s(literal -1/6 binary64) (pow.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal 3 binary64))))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)))
(-.f64 (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 3/40 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal -1/6 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) x))) x))
(* -1 (sqrt -1))
(neg.f64 (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1 (sqrt -1)) (/ 1 x))
(-.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x)))
(neg.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) #s(literal 1 binary64)) x) (sqrt.f64 #s(literal -1 binary64))))
(+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x)))
(neg.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) x) #s(literal -1 binary64) #s(literal -1 binary64)) x) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2))))))
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 1/2 binary64)) x)

rewrite85.0ms (2.4%)

Memory

-3.1MiB live, 44.0MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	69
0	19	59
1	99	59
0	820	56

Stop Event

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

Counts

4 → 5

Calls

Call 1

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

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

eval3.0ms (0.1%)

Memory: 3.6MiB live, 3.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 848 to 164 computations (80.7% saved)

prune4.0ms (0.1%)

Memory

5.6MiB live, 5.7MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	31	0	31
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	31	3	34

Accuracy

100.0%

Counts

34 → 3

Alt Table

Click to see full alt table

Status

Accuracy

Program

✓

100.0%

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

✓

99.9%

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

✓

0.0%

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

Compiler

Compiled 161 to 83 computations (48.4% saved)

regimes7.0ms (0.2%)

Memory

13.2MiB live, 13.2MiB allocated; 0ms collecting garbage

Counts

5 → 1

Calls

Call 1

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

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

Calls

3 calls:

2.0ms

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

2.0ms

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

Results

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

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes46.0ms (1.3%)

Memory

-28.0MiB live, 16.3MiB allocated; 12ms collecting garbage

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

3 calls:

42.0ms

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

2.0ms

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

2.0ms

Results

Accuracy	Segments	Branch
99.9%	1	`(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))`
99.9%	1	`(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))`
99.9%	1	`x`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes5.0ms (0.1%)

Memory

11.3MiB live, 11.3MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

3 calls:

1.0ms

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

1.0ms

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

1.0ms

Results

Accuracy	Segments	Branch
0.0%	1	`(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))`
0.0%	1	`(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))`
0.0%	1	`x`

Compiler

Compiled 26 to 18 computations (30.8% saved)

simplify44.0ms (1.2%)

Memory

7.1MiB live, 51.4MiB allocated; 11ms collecting garbage

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	25	60
1	44	60
2	102	60
3	284	60
4	857	58
5	4666	58

Stop Event

1×	node limit

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

derivations344.0ms (9.8%)

Memory

10.6MiB live, 359.8MiB allocated; 37ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	133	391
1	346	376
2	1089	370
0	5119	360
0	155	722
1	420	699
2	1325	664
0	6210	643

Stop Event

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

Compiler

Compiled 66 to 27 computations (59.1% saved)

preprocess26.0ms (0.7%)

Memory: -15.8MiB live, 31.0MiB allocated; 2ms collecting garbage
Compiler: Compiled 158 to 72 computations (54.4% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze3.0ms (0.1%)

sample1.1s (31.4%)

explain161.0ms (4.6%)

preprocess226.0ms (6.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify157.0ms (4.5%)

localize37.0ms (1.1%)

series6.0ms (0.2%)

simplify177.0ms (5.1%)

rewrite55.0ms (1.6%)

eval17.0ms (0.5%)

prune3.0ms (0.1%)

simplify223.0ms (6.3%)

localize103.0ms (2.9%)

series4.0ms (0.1%)

simplify181.0ms (5.2%)

rewrite56.0ms (1.6%)

eval12.0ms (0.3%)

prune4.0ms (0.1%)

simplify132.0ms (3.8%)

localize84.0ms (2.4%)

series4.0ms (0.1%)

simplify197.0ms (5.6%)

rewrite85.0ms (2.4%)

eval3.0ms (0.1%)

prune4.0ms (0.1%)

regimes7.0ms (0.2%)

regimes46.0ms (1.3%)

regimes5.0ms (0.1%)

simplify44.0ms (1.2%)

derivations344.0ms (9.8%)

preprocess26.0ms (0.7%)

end0.0ms (0%)

Profiling