Metrics for Hyperbolic arc-(co)secant

start0.0ms (0%)

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

analyze3.0ms (0.1%)

Memory

5.8MiB live, 5.8MiB 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)

sample1.8s (34.1%)

Memory

-125.8MiB live, 1 657.1MiB allocated; 1.4s collecting garbage

Samples

1.4s	8 256×	0	valid
17.0ms	26×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 1.2s

ival-div: 766.0ms (63.3% of total)

ival-sub: 125.0ms (10.3% of total)

ival-log: 119.0ms (9.8% of total)

ival-sqrt: 75.0ms (6.2% of total)

ival-mult: 65.0ms (5.4% of total)

ival-add: 44.0ms (3.6% of total)

ival-true: 6.0ms (0.5% of total)

exact: 5.0ms (0.4% of total)

ival-assert: 4.0ms (0.3% of total)

adjust: 3.0ms (0.2% of total)

Bogosity

explain150.0ms (2.9%)

Memory

32.8MiB live, 316.8MiB allocated; 39ms 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

49.0ms

512×

valid

Compiler

Compiled 121 to 31 computations (74.4% saved)

Precisions

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

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

ival-mult: 7.0ms (21.9% of total)

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

ival-sqrt: 4.0ms (12.5% of total)

ival-sub: 3.0ms (9.4% of total)

ival-add: 2.0ms (6.2% 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)

preprocess20.0ms (0.4%)

Memory

4.9MiB live, 51.0MiB allocated; 8ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	25
1	32	25
2	70	25
3	94	25
4	129	25
5	140	25
0	9	13
0	16	11
1	27	11
2	50	11
3	76	11
4	97	11
5	109	11
6	124	11
7	136	11
0	136	11

Stop Event

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

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

prune0.0ms (0%)

Memory

1.2MiB live, 1.2MiB 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)

simplify9.0ms (0.2%)

Memory

-44.1MiB live, 12.2MiB allocated; 6ms collecting garbage

Algorithm

1×	egg-herbie

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	50	48
3	76	48
4	97	48
5	109	48
6	124	48
7	136	48
0	136	48

Stop Event

1×	iter limit
1×	saturated
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)

localize30.0ms (0.6%)

Memory

34.9MiB live, 79.9MiB allocated; 7ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
accuracy	0.0078125	(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)
accuracy	0.0078125	(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
accuracy	0.01171875	(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))

Samples

23.0ms

256×

valid

Compiler

Compiled 54 to 11 computations (79.6% saved)

Precisions

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

ival-log: 6.0ms (37.1% of total)

ival-div: 4.0ms (24.7% of total)

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

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

ival-add: 1.0ms (6.2% of total)

ival-sub: 1.0ms (6.2% 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)

series6.0ms (0.1%)

Memory

10.1MiB live, 10.1MiB 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
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))))
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

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))))

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))))

simplify139.0ms (2.7%)

Memory

-5.3MiB live, 144.8MiB allocated; 24ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	155	722
1	420	699
2	1185	664
3	3838	630
0	8354	617

Stop Event

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

rewrite213.0ms (4.1%)

Memory

-28.2MiB live, 164.4MiB allocated; 30ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	42
0	16	24
1	72	24
2	562	24
0	8744	23

Stop Event

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

Counts

5 → 253

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

eval38.0ms (0.7%)

Memory: 23.5MiB live, 66.2MiB allocated; 5ms collecting garbage
Compiler: Compiled 6 916 to 1 219 computations (82.4% saved)

prune60.0ms (1.1%)

Memory

-33.2MiB live, 14.0MiB allocated; 2ms collecting garbage

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	293	6	299
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	293	7	300

Accuracy

100.0%

Counts

300 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	56.5%	(log.f64 (/.f64 (fma.f64 (sin.f64 (acos.f64 x)) x x) (*.f64 x x)))
✓	100.0%	(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
▶	53.5%	(log.f64 (+.f64 (sqrt.f64 (pow.f64 x #s(literal -2 binary64))) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
▶	99.7%	(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 (-.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) #s(literal 1/2 binary64)) x (/.f64 #s(literal 2 binary64) x))))
▶	99.6%	(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))))
▶	99.2%	(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 221 to 157 computations (29% saved)

simplify10.0ms (0.2%)

Memory

6.2MiB live, 6.2MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(pow.f64 x #s(literal -2 binary64))
cost-diff	0	(sqrt.f64 (pow.f64 x #s(literal -2 binary64)))
cost-diff	0	(+.f64 (sqrt.f64 (pow.f64 x #s(literal -2 binary64))) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))
cost-diff	0	(log.f64 (+.f64 (sqrt.f64 (pow.f64 x #s(literal -2 binary64))) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
cost-diff	0	(/.f64 #s(literal 2 binary64) x)
cost-diff	0	(fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 2 binary64) x))
cost-diff	0	#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 2 binary64) x)))
cost-diff	0	(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))))
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))))
cost-diff	0	(-.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) #s(literal 1/2 binary64))
cost-diff	0	(fma.f64 (-.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) #s(literal 1/2 binary64)) x (/.f64 #s(literal 2 binary64) x))
cost-diff	0	#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 (-.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) #s(literal 1/2 binary64)) x (/.f64 #s(literal 2 binary64) x)))
cost-diff	0	(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 (-.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) #s(literal 1/2 binary64)) x (/.f64 #s(literal 2 binary64) x))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	267
0	56	251
1	76	251
2	120	251
3	175	251
4	240	251
5	278	251
6	300	251
7	312	251
0	312	251

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 (-.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) #s(literal 1/2 binary64)) x (/.f64 #s(literal 2 binary64) x))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 (-.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) #s(literal 1/2 binary64)) x (/.f64 #s(literal 2 binary64) x)))
(fma.f64 (-.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) #s(literal 1/2 binary64)) x (/.f64 #s(literal 2 binary64) x))
(-.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) #s(literal 1/2 binary64))
(.f64 #s(literal -1/8 binary64) (.f64 x x))
#s(literal -1/8 binary64)
(*.f64 x x)
x
#s(literal 1/2 binary64)
(/.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
(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)) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #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)))
(fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 2 binary64) x))
#s(literal -1/2 binary64)
x
(/.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
(log.f64 (+.f64 (sqrt.f64 (pow.f64 x #s(literal -2 binary64))) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
(+.f64 (sqrt.f64 (pow.f64 x #s(literal -2 binary64))) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))
(sqrt.f64 (pow.f64 x #s(literal -2 binary64)))
(pow.f64 x #s(literal -2 binary64))
x
#s(literal -2 binary64)
(/.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))
#s(literal 1 binary64)
(*.f64 x x)

Outputs
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 (-.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) #s(literal 1/2 binary64)) x (/.f64 #s(literal 2 binary64) x))))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) x (/.f64 #s(literal 2 binary64) x))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 (-.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) #s(literal 1/2 binary64)) x (/.f64 #s(literal 2 binary64) x)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) x (/.f64 #s(literal 2 binary64) x)))
(fma.f64 (-.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) #s(literal 1/2 binary64)) x (/.f64 #s(literal 2 binary64) x))
(fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) x (/.f64 #s(literal 2 binary64) x))
(-.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) #s(literal 1/2 binary64))
(-.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) #s(literal 1/2 binary64))
(.f64 #s(literal -1/8 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal -1/8 binary64))
#s(literal -1/8 binary64)
(*.f64 x x)
x
#s(literal 1/2 binary64)
(/.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
(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)) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #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)))
(fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 2 binary64) x))
#s(literal -1/2 binary64)
x
(/.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
(log.f64 (+.f64 (sqrt.f64 (pow.f64 x #s(literal -2 binary64))) (/.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))) x) (sqrt.f64 (pow.f64 x #s(literal -2 binary64)))))
(+.f64 (sqrt.f64 (pow.f64 x #s(literal -2 binary64))) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))
(+.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x) (sqrt.f64 (pow.f64 x #s(literal -2 binary64))))
(sqrt.f64 (pow.f64 x #s(literal -2 binary64)))
(pow.f64 x #s(literal -2 binary64))
x
#s(literal -2 binary64)
(/.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))
#s(literal 1 binary64)
(*.f64 x x)

localize88.0ms (1.7%)

Memory

-3.2MiB live, 97.2MiB allocated; 8ms collecting garbage

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(*.f64 x x)
accuracy	0.0	(sqrt.f64 (pow.f64 x #s(literal -2 binary64)))
accuracy	0.0	(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
accuracy	0.0	(log.f64 (+.f64 (sqrt.f64 (pow.f64 x #s(literal -2 binary64))) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
accuracy	0.0	(fma.f64 #s(literal -1/2 binary64) x (/.f64 #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)) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 2 binary64) x))))
accuracy	0.0	#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #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)))
accuracy	0.0	(*.f64 x x)
accuracy	0.0	(.f64 #s(literal -1/8 binary64) (.f64 x x))
accuracy	0.0	(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 (-.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) #s(literal 1/2 binary64)) x (/.f64 #s(literal 2 binary64) x))))
accuracy	0.0	#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 (-.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) #s(literal 1/2 binary64)) x (/.f64 #s(literal 2 binary64) x)))

Samples

71.0ms

256×

invalid

Compiler

Compiled 217 to 29 computations (86.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-mult: 7.0ms (20.1% of total)

ival-div: 6.0ms (17.2% of total)

ival-add: 6.0ms (17.2% of total)

ival-log: 5.0ms (14.3% of total)

ival-sqrt: 5.0ms (14.3% of total)

ival-pow: 3.0ms (8.6% of total)

ival-sub: 2.0ms (5.7% of total)

exact: 1.0ms (2.9% of total)

adjust: 0.0ms (0% of total)

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

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

series8.0ms (0.2%)

Memory

5.3MiB live, 5.3MiB allocated; 0ms collecting garbage

Counts

20 → 57

Calls

Call 1

Inputs
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 (-.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) #s(literal 1/2 binary64)) x (/.f64 #s(literal 2 binary64) x))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 (-.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) #s(literal 1/2 binary64)) x (/.f64 #s(literal 2 binary64) x)))
(fma.f64 (-.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) #s(literal 1/2 binary64)) x (/.f64 #s(literal 2 binary64) x))
(-.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) #s(literal 1/2 binary64))
(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)
(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)) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 2 binary64) x)))
(fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 2 binary64) x))
(log.f64 (+.f64 (sqrt.f64 (pow.f64 x #s(literal -2 binary64))) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
(+.f64 (sqrt.f64 (pow.f64 x #s(literal -2 binary64))) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))
(sqrt.f64 (pow.f64 x #s(literal -2 binary64)))
(pow.f64 x #s(literal -2 binary64))
(.f64 #s(literal -1/8 binary64) (.f64 x x))
(*.f64 x x)
(sqrt.f64 (-.f64 #s(literal 1 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)
-1/2
(- (* -1/8 (pow x 2)) 1/2)
(/ 1 x)
(/ 1 (pow x 2))
(* -1/8 (pow x 2))
(pow x 2)
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)))
(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)))))
(* -1/8 (pow x 3))
(* -1 (* (pow x 3) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(* (pow x 3) (- (/ 2 (pow x 4)) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(* -1/2 x)
(* x (- (* 2 (/ 1 (pow x 2))) 1/2))
(* 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))))))
(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 (* (pow x 3) (- (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (/ 2 (pow x 4)))))
(* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2))))))
(+ (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (/ 1 (sqrt -1))) x)))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3))) (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1)))) x)))
(- (* -1 (sqrt -1)) (/ 1 x))
(+ (* -1 (sqrt -1)) (* -1 (/ (+ 1 (* 1/2 (/ 1 (* x (sqrt -1))))) x)))
(+ (* -1 (sqrt -1)) (* -1 (/ (+ 1 (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x))) x)))
(/ -1 x)
(* -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	((log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (+ (* (- (* -1/8 (* x x)) 1/2) x) (/ 2 x)) (- (* -1/8 (* x x)) 1/2) (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) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (+ (* -1/2 x) (/ 2 x)) (log (+ (sqrt (pow x -2)) (/ (sqrt (- 1 (* x x))) x))) (+ (sqrt (pow x -2)) (/ (sqrt (- 1 (* x x))) x)) (sqrt (pow x -2)) (pow x -2) (* -1/8 (* x x)) (* x x) (sqrt (- 1 (* x x))))
3.0ms	x	@	-inf	((log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (+ (* (- (* -1/8 (* x x)) 1/2) x) (/ 2 x)) (- (* -1/8 (* x x)) 1/2) (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) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (+ (* -1/2 x) (/ 2 x)) (log (+ (sqrt (pow x -2)) (/ (sqrt (- 1 (* x x))) x))) (+ (sqrt (pow x -2)) (/ (sqrt (- 1 (* x x))) x)) (sqrt (pow x -2)) (pow x -2) (* -1/8 (* x x)) (* x x) (sqrt (- 1 (* x x))))
2.0ms	x	@	0	((log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (+ (* (- (* -1/8 (* x x)) 1/2) x) (/ 2 x)) (- (* -1/8 (* x x)) 1/2) (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) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (+ (* -1/2 x) (/ 2 x)) (log (+ (sqrt (pow x -2)) (/ (sqrt (- 1 (* x x))) x))) (+ (sqrt (pow x -2)) (/ (sqrt (- 1 (* x x))) x)) (sqrt (pow x -2)) (pow x -2) (* -1/8 (* x x)) (* x x) (sqrt (- 1 (* x x))))

Time

Variable

Point

Expression

3.0ms

inf

((log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (+ (* (- (* -1/8 (* x x)) 1/2) x) (/ 2 x)) (- (* -1/8 (* x x)) 1/2) (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) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (+ (* -1/2 x) (/ 2 x)) (log (+ (sqrt (pow x -2)) (/ (sqrt (- 1 (* x x))) x))) (+ (sqrt (pow x -2)) (/ (sqrt (- 1 (* x x))) x)) (sqrt (pow x -2)) (pow x -2) (* -1/8 (* x x)) (* x x) (sqrt (- 1 (* x x))))

3.0ms

-inf

((log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (+ (* (- (* -1/8 (* x x)) 1/2) x) (/ 2 x)) (- (* -1/8 (* x x)) 1/2) (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) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (+ (* -1/2 x) (/ 2 x)) (log (+ (sqrt (pow x -2)) (/ (sqrt (- 1 (* x x))) x))) (+ (sqrt (pow x -2)) (/ (sqrt (- 1 (* x x))) x)) (sqrt (pow x -2)) (pow x -2) (* -1/8 (* x x)) (* x x) (sqrt (- 1 (* x x))))

2.0ms

((log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (+ (* (- (* -1/8 (* x x)) 1/2) x) (/ 2 x)) (- (* -1/8 (* x x)) 1/2) (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) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (+ (* -1/2 x) (/ 2 x)) (log (+ (sqrt (pow x -2)) (/ (sqrt (- 1 (* x x))) x))) (+ (sqrt (pow x -2)) (/ (sqrt (- 1 (* x x))) x)) (sqrt (pow x -2)) (pow x -2) (* -1/8 (* x x)) (* x x) (sqrt (- 1 (* x x))))

simplify166.0ms (3.2%)

Memory

2.1MiB live, 90.1MiB allocated; 12ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	187	764
1	532	730
2	1631	707
3	5476	683
0	8262	668

Stop Event

1×	iter limit
1×	node limit

Counts

57 → 57

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

rewrite191.0ms (3.7%)

Memory

16.6MiB live, 115.5MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	232
0	56	176
1	165	176
2	1076	176
0	8139	175

Stop Event

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

Counts

20 → 367

Calls

Call 1

Inputs
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 (-.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) #s(literal 1/2 binary64)) x (/.f64 #s(literal 2 binary64) x))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 (-.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) #s(literal 1/2 binary64)) x (/.f64 #s(literal 2 binary64) x)))
(fma.f64 (-.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) #s(literal 1/2 binary64)) x (/.f64 #s(literal 2 binary64) x))
(-.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) #s(literal 1/2 binary64))
(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)
(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)) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 2 binary64) x)))
(fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 2 binary64) x))
(log.f64 (+.f64 (sqrt.f64 (pow.f64 x #s(literal -2 binary64))) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
(+.f64 (sqrt.f64 (pow.f64 x #s(literal -2 binary64))) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))
(sqrt.f64 (pow.f64 x #s(literal -2 binary64)))
(pow.f64 x #s(literal -2 binary64))
(.f64 #s(literal -1/8 binary64) (.f64 x x))
(*.f64 x x)
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))

Outputs
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) x (/.f64 #s(literal 2 binary64) x))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) x (/.f64 #s(literal 2 binary64) x)))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 2 binary64) x) (-.f64 (/.f64 #s(literal 2 binary64) x) (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) x)) (pow.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 2 binary64) x) (-.f64 (/.f64 #s(literal 2 binary64) x) (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) x)) (pow.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 2 binary64) x) (-.f64 (/.f64 #s(literal 2 binary64) x) (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) x)) (pow.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 2 binary64) x) (-.f64 (/.f64 #s(literal 2 binary64) x) (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) x)) (pow.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)))) (-.f64 (.f64 (/.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 2 binary64) x) (-.f64 (/.f64 #s(literal 2 binary64) x) (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) x)) (pow.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 2 binary64) x) (-.f64 (/.f64 #s(literal 2 binary64) x) (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) x)) (pow.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) x) #s(literal 2 binary64))))) (.f64 (/.f64 (pow.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 2 binary64) x) (-.f64 (/.f64 #s(literal 2 binary64) x) (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) x)) (pow.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 2 binary64) x) (-.f64 (/.f64 #s(literal 2 binary64) x) (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) x)) (pow.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) x) #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (pow.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) x) (/.f64 #s(literal 2 binary64) x)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (pow.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) (-.f64 (/.f64 #s(literal 2 binary64) x) (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) x)) (pow.f64 (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) x) #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) (-.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) x) (/.f64 #s(literal 2 binary64) x))) (.f64 (-.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) x) (/.f64 #s(literal 2 binary64) x)) (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))) (.f64 (-.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) x) (/.f64 #s(literal 2 binary64) x)) (-.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) x) (/.f64 #s(literal 2 binary64) x))))
(/.f64 (fma.f64 (pow.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 2 binary64) x) (-.f64 (/.f64 #s(literal 2 binary64) x) (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) x)) (pow.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) x) #s(literal 2 binary64))) (.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) (-.f64 (/.f64 #s(literal 2 binary64) x) (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) x)) (pow.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) x) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)))) (.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) (-.f64 (/.f64 #s(literal 2 binary64) x) (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) x)) (pow.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) x) #s(literal 2 binary64))) (fma.f64 (/.f64 #s(literal 2 binary64) x) (-.f64 (/.f64 #s(literal 2 binary64) x) (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) x)) (pow.f64 (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (.f64 (-.f64 (.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64)) x) (neg.f64 x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64))) (.f64 (fma.f64 (.f64 x x) #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (neg.f64 x)))
(/.f64 (fma.f64 (.f64 (-.f64 (.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64)) x) (neg.f64 (neg.f64 x)) (.f64 (fma.f64 (.f64 x x) #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (.f64 (fma.f64 (.f64 x x) #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (neg.f64 (neg.f64 x))))
(/.f64 (fma.f64 (.f64 (-.f64 (.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64)) x) x (.f64 (fma.f64 (.f64 x x) #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (.f64 (fma.f64 (.f64 x x) #s(literal -1/8 binary64) #s(literal 1/2 binary64)) x))
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(+.f64 (/.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 (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 (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 (/.f64 x x) (tan.f64 (acos.f64 x))) (/.f64 x (.f64 x x)))
(+.f64 (/.f64 x (.f64 x x)) (.f64 (/.f64 x x) (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 (*.f64 (neg.f64 (tan.f64 (acos.f64 x))) (tan.f64 (acos.f64 x))) (-.f64 (pow.f64 x #s(literal -1 binary64)) (tan.f64 (acos.f64 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 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) (neg.f64 (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64)))) (sqrt.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64)))))
(*.f64 (pow.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))
(pow.f64 (neg.f64 (neg.f64 x)) #s(literal -1 binary64))
(pow.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 x x) #s(literal -1/2 binary64))
(pow.f64 x #s(literal -1 binary64))
(/.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64)))) (sqrt.f64 (neg.f64 x)))
(/.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) (sqrt.f64 (neg.f64 x)))
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 (neg.f64 x) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 #s(literal -1 binary64) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal 1 binary64) x)
(neg.f64 (/.f64 #s(literal -1 binary64) x))
(sqrt.f64 (pow.f64 x #s(literal -2 binary64)))
(fabs.f64 (/.f64 #s(literal -1 binary64) x))
(fabs.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64))))
(fabs.f64 (pow.f64 x #s(literal -1 binary64)))
(exp.f64 (neg.f64 (log.f64 x)))
(+.f64 (cosh.f64 (neg.f64 (log.f64 x))) (sinh.f64 (neg.f64 (log.f64 x))))
(*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64)))) (neg.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64)))))
(*.f64 (pow.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal -1 binary64)) (pow.f64 (neg.f64 x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal -1 binary64)) (pow.f64 (neg.f64 x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x))
(*.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64))) (neg.f64 (pow.f64 x #s(literal -1 binary64))))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))
(pow.f64 (exp.f64 #s(literal -2 binary64)) (log.f64 x))
(pow.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 x) #s(literal -2 binary64))
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 x x) #s(literal -1 binary64))
(pow.f64 x #s(literal -2 binary64))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal -2 binary64))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal -2 binary64))) (cosh.f64 (.f64 (log.f64 x) #s(literal -2 binary64))) (-.f64 (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal -2 binary64))) (sinh.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)))))))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64)))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) (neg.f64 (neg.f64 x)))
(/.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (neg.f64 x))
(/.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64))) (neg.f64 x))
(/.f64 (pow.f64 x #s(literal -1 binary64)) x)
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (neg.f64 (neg.f64 x))))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x))
(/.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 (neg.f64 x))))
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 x)) x))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(sqrt.f64 (pow.f64 x #s(literal -4 binary64)))
(fabs.f64 (pow.f64 x #s(literal -2 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal -4 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(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))))
(.f64 (.f64 #s(literal -1/8 binary64) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 #s(literal -1/8 binary64) x) x)
(.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal -1/8 binary64)))
(.f64 (.f64 x x) #s(literal -1/8 binary64))
(.f64 #s(literal -1/8 binary64) (.f64 x x))
(.f64 x (.f64 #s(literal -1/8 binary64) x))
(*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 x))))
(.f64 (fabs.f64 (.f64 #s(literal 1 binary64) (neg.f64 x))) x)
(*.f64 (cos.f64 (+.f64 (asin.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (+.f64 (asin.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(*.f64 (cos.f64 (acos.f64 (neg.f64 x))) (cos.f64 (acos.f64 (neg.f64 x))))
(*.f64 (sin.f64 (asin.f64 (neg.f64 x))) (sin.f64 (asin.f64 (neg.f64 x))))
(*.f64 (sin.f64 (asin.f64 x)) (sin.f64 (asin.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 x) (neg.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 (neg.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))
(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))))
(.f64 (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64))))
(.f64 (fabs.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64))))
(.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 (exp.f64 (log1p.f64 (*.f64 (neg.f64 x) x))) #s(literal 1/2 binary64))
(pow.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (sin.f64 (acos.f64 (*.f64 x x)))) (neg.f64 (cosh.f64 (asinh.f64 x))))
(/.f64 (neg.f64 (sin.f64 (acos.f64 (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (sqrt.f64 (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) x))))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) (sqrt.f64 (neg.f64 (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))) (sqrt.f64 (neg.f64 (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))))
(/.f64 (sin.f64 (acos.f64 (*.f64 x x))) (cosh.f64 (asinh.f64 x)))
(/.f64 (sin.f64 (acos.f64 (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))))
(fma.f64 (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) x (*.f64 (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (sin.f64 (acos.f64 x))))
(fma.f64 (sin.f64 (asin.f64 x)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (sin.f64 (acos.f64 x)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (+.f64 (asin.f64 (neg.f64 x)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (acos.f64 (neg.f64 (neg.f64 x))))
(sin.f64 (+.f64 (asin.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (acos.f64 (neg.f64 x)))
(sin.f64 (acos.f64 x))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(-.f64 (.f64 (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (sin.f64 (acos.f64 x))) (.f64 (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (sin.f64 (asin.f64 x))))
(cos.f64 (neg.f64 (asin.f64 (neg.f64 x))))
(cos.f64 (asin.f64 (neg.f64 (neg.f64 x))))
(cos.f64 (asin.f64 (neg.f64 x)))
(cos.f64 (asin.f64 x))
(exp.f64 (.f64 (log1p.f64 (.f64 (neg.f64 x) x)) #s(literal 1/2 binary64)))
(+.f64 (.f64 (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) x) (.f64 (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (sin.f64 (acos.f64 x))))
(+.f64 (.f64 (sin.f64 (asin.f64 x)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (sin.f64 (acos.f64 x)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(+.f64 (cosh.f64 (.f64 (log1p.f64 (.f64 (neg.f64 x) x)) #s(literal 1/2 binary64))) (sinh.f64 (.f64 (log1p.f64 (.f64 (neg.f64 x) x)) #s(literal 1/2 binary64))))

eval112.0ms (2.1%)

Memory: -9.6MiB live, 81.1MiB allocated; 7ms collecting garbage
Compiler: Compiled 12 770 to 2 045 computations (84% saved)

prune8.0ms (0.2%)

Memory

19.1MiB live, 19.1MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	461	3	464
Fresh	0	1	1
Picked	3	2	5
Done	0	1	1
Total	464	7	471

Accuracy

100.0%

Counts

471 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	56.5%	(log.f64 (/.f64 (fma.f64 (sin.f64 (acos.f64 x)) x x) (*.f64 x x)))
✓	100.0%	(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
▶	53.5%	(log.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) x)))
▶	99.7%	(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 #s(approx (- (* -1/8 (* x x)) 1/2) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64))) x (/.f64 #s(literal 2 binary64) x))))
✓	99.6%	(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))))
✓	99.2%	(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 (+ (* -1/2 x) (/ 2 x)) (*.f64 #s(literal -1/2 binary64) x))))

Compiler

Compiled 135 to 92 computations (31.9% saved)

simplify136.0ms (2.6%)

Memory

-29.5MiB live, 72.3MiB allocated; 14ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(sin.f64 (acos.f64 x))
cost-diff	0	(fma.f64 (sin.f64 (acos.f64 x)) x x)
cost-diff	0	(log.f64 (/.f64 (fma.f64 (sin.f64 (acos.f64 x)) x x) (*.f64 x x)))
cost-diff	3	(/.f64 (fma.f64 (sin.f64 (acos.f64 x)) x x) (*.f64 x x))
cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 x x))
cost-diff	0	(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) x))
cost-diff	0	(log.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) x)))
cost-diff	2	(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
cost-diff	0	#s(approx (- (* -1/8 (* x x)) 1/2) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)))
cost-diff	0	(fma.f64 #s(approx (- (* -1/8 (* x x)) 1/2) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64))) x (/.f64 #s(literal 2 binary64) x))
cost-diff	0	#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 #s(approx (- (* -1/8 (* x x)) 1/2) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64))) x (/.f64 #s(literal 2 binary64) x)))
cost-diff	0	(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 #s(approx (- (* -1/8 (* x x)) 1/2) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64))) x (/.f64 #s(literal 2 binary64) x))))
cost-diff	0	(*.f64 #s(literal -1/2 binary64) x)
cost-diff	0	#s(approx (+ (* -1/2 x) (/ 2 x)) (*.f64 #s(literal -1/2 binary64) x))
cost-diff	0	#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (+ (* -1/2 x) (/ 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 (+ (* -1/2 x) (/ 2 x)) (*.f64 #s(literal -1/2 binary64) x))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	281
0	62	273
1	93	273
2	197	271
3	477	267
4	1106	267
5	3013	261
6	5157	261
7	7228	261
0	8150	258

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 (+ (* -1/2 x) (/ 2 x)) (*.f64 #s(literal -1/2 binary64) x))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (+ (* -1/2 x) (/ 2 x)) (*.f64 #s(literal -1/2 binary64) x)))
#s(approx (+ (* -1/2 x) (/ 2 x)) (*.f64 #s(literal -1/2 binary64) x))
(*.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
x
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 #s(approx (- (* -1/8 (* x x)) 1/2) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64))) x (/.f64 #s(literal 2 binary64) x))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 #s(approx (- (* -1/8 (* x x)) 1/2) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64))) x (/.f64 #s(literal 2 binary64) x)))
(fma.f64 #s(approx (- (* -1/8 (* x x)) 1/2) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64))) x (/.f64 #s(literal 2 binary64) x))
#s(approx (- (* -1/8 (* x x)) 1/2) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)))
(fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64))
#s(literal -1/8 binary64)
(*.f64 x x)
x
#s(literal -1/2 binary64)
(/.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
(log.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) x)))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x 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))
#s(literal 1 binary64)
(*.f64 x x)
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))
(log.f64 (/.f64 (fma.f64 (sin.f64 (acos.f64 x)) x x) (*.f64 x x)))
(/.f64 (fma.f64 (sin.f64 (acos.f64 x)) x x) (*.f64 x x))
(fma.f64 (sin.f64 (acos.f64 x)) x x)
(sin.f64 (acos.f64 x))
(acos.f64 x)
x
(*.f64 x x)

Outputs
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (+ (* -1/2 x) (/ 2 x)) (*.f64 #s(literal -1/2 binary64) x))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (+ (* -1/2 x) (/ 2 x)) (*.f64 #s(literal -1/2 binary64) x)))
#s(approx (+ (* -1/2 x) (/ 2 x)) (*.f64 #s(literal -1/2 binary64) x))
(*.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
x
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 #s(approx (- (* -1/8 (* x x)) 1/2) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64))) x (/.f64 #s(literal 2 binary64) x))))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 #s(approx (- (* -1/8 (* x x)) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal -1/2 binary64))) x (/.f64 #s(literal 2 binary64) x))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 #s(approx (- (* -1/8 (* x x)) 1/2) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64))) x (/.f64 #s(literal 2 binary64) x)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 #s(approx (- (* -1/8 (* x x)) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal -1/2 binary64))) x (/.f64 #s(literal 2 binary64) x)))
(fma.f64 #s(approx (- (* -1/8 (* x x)) 1/2) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64))) x (/.f64 #s(literal 2 binary64) x))
(fma.f64 #s(approx (- (* -1/8 (* x x)) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal -1/2 binary64))) x (/.f64 #s(literal 2 binary64) x))
#s(approx (- (* -1/8 (* x x)) 1/2) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)))
#s(approx (- (* -1/8 (* x x)) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal -1/2 binary64)))
(fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal -1/2 binary64))
#s(literal -1/8 binary64)
(*.f64 x x)
x
#s(literal -1/2 binary64)
(/.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
(log.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) x)))
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) x))
(+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 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) (fabs.f64 x))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
#s(literal 1 binary64)
(*.f64 x x)
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))
(log.f64 (/.f64 (fma.f64 (sin.f64 (acos.f64 x)) x x) (*.f64 x x)))
(log.f64 (/.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))
(/.f64 (-.f64 (sin.f64 (acos.f64 x)) #s(literal -1 binary64)) x)
(fma.f64 (sin.f64 (acos.f64 x)) x x)
(sin.f64 (acos.f64 x))
(acos.f64 x)
x
(*.f64 x x)

localize92.0ms (1.8%)

Memory

21.9MiB live, 112.8MiB allocated; 8ms collecting garbage

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.0	(sin.f64 (acos.f64 x))
accuracy	0.0	(acos.f64 x)
accuracy	0.0078125	(log.f64 (/.f64 (fma.f64 (sin.f64 (acos.f64 x)) x x) (*.f64 x x)))
accuracy	27.170002432604193	(/.f64 (fma.f64 (sin.f64 (acos.f64 x)) x x) (*.f64 x x))
accuracy	0.0078125	(log.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) x)))
accuracy	0.01171875	(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) x))
accuracy	0.09765625	(/.f64 #s(literal 1 binary64) (*.f64 x x))
accuracy	28.764421228973468	(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
accuracy	0.0	#s(approx (- (* -1/8 (* x x)) 1/2) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)))
accuracy	0.00390625	(fma.f64 #s(approx (- (* -1/8 (* x x)) 1/2) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64))) x (/.f64 #s(literal 2 binary64) x))
accuracy	0.0078125	(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 #s(approx (- (* -1/8 (* x x)) 1/2) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64))) x (/.f64 #s(literal 2 binary64) x))))
accuracy	0.18315011542699497	#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 #s(approx (- (* -1/8 (* x x)) 1/2) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64))) x (/.f64 #s(literal 2 binary64) x)))
accuracy	0.0	(*.f64 #s(literal -1/2 binary64) x)
accuracy	0.0078125	(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (+ (* -1/2 x) (/ 2 x)) (*.f64 #s(literal -1/2 binary64) x))))
accuracy	0.29230996695992434	#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (+ (* -1/2 x) (/ 2 x)) (*.f64 #s(literal -1/2 binary64) x)))
accuracy	62.99850943930602	#s(approx (+ (* -1/2 x) (/ 2 x)) (*.f64 #s(literal -1/2 binary64) x))

Samples

73.0ms

256×

valid

Compiler

Compiled 206 to 33 computations (84% saved)

Precisions

Click to see histograms. Total time spent on operations: 58.0ms

ival-sin: 19.0ms (32.9% of total)

ival-div: 8.0ms (13.9% of total)

ival-mult: 8.0ms (13.9% of total)

ival-log: 7.0ms (12.1% of total)

ival-add: 6.0ms (10.4% of total)

ival-sqrt: 3.0ms (5.2% of total)

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

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

exact: 1.0ms (1.7% of total)

adjust: 0.0ms (0% of total)

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

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

series130.0ms (2.5%)

Memory

-1.1MiB live, 137.7MiB allocated; 27ms collecting garbage

Counts

17 → 53

Calls

Call 1

Inputs
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (+ (* -1/2 x) (/ 2 x)) (*.f64 #s(literal -1/2 binary64) x))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (+ (* -1/2 x) (/ 2 x)) (*.f64 #s(literal -1/2 binary64) x)))
#s(approx (+ (* -1/2 x) (/ 2 x)) (*.f64 #s(literal -1/2 binary64) x))
(*.f64 #s(literal -1/2 binary64) x)
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 #s(approx (- (* -1/8 (* x x)) 1/2) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64))) x (/.f64 #s(literal 2 binary64) x))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 #s(approx (- (* -1/8 (* x x)) 1/2) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64))) x (/.f64 #s(literal 2 binary64) x)))
(fma.f64 #s(approx (- (* -1/8 (* x x)) 1/2) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64))) x (/.f64 #s(literal 2 binary64) x))
#s(approx (- (* -1/8 (* x x)) 1/2) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(log.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) x)))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) x))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/.f64 (fma.f64 (sin.f64 (acos.f64 x)) x x) (*.f64 x x))
(log.f64 (/.f64 (fma.f64 (sin.f64 (acos.f64 x)) x x) (*.f64 x x)))
(fma.f64 (sin.f64 (acos.f64 x)) x x)
(sin.f64 (acos.f64 x))
(acos.f64 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)
-1/2
(- (* -1/8 (pow x 2)) 1/2)
(/ 1 x)
(/ 1 (pow x 2))
(/ (+ 1 (sin (acos x))) x)
(+ (log (+ 1 (sin (acos x)))) (* -1 (log x)))
(* x (+ 1 (sin (acos x))))
(sin (acos x))
(acos 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))
(* -1/8 (pow x 3))
(* -1 (* (pow x 3) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(* (pow x 3) (- (/ 2 (pow x 4)) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(* -1/8 (pow x 2))
(* -1 (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(+ (log (+ 1 (sin (acos x)))) (log (/ 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 (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))))))
(* -1 (* (pow x 3) (- (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (/ 2 (pow x 4)))))
(/ -1 x)
(+ (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (/ 1 (sqrt -1))) x)))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3))) (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1)))) x)))
(- (* -1 (sqrt -1)) (/ 1 x))
(+ (* -1 (sqrt -1)) (* -1 (/ (+ 1 (* 1/2 (/ 1 (* x (sqrt -1))))) x)))
(+ (* -1 (sqrt -1)) (* -1 (/ (+ 1 (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x))) x)))
(* -1 (/ (- (* -1 (sin (acos x))) 1) x))
(+ (log (- (* -1 (sin (acos x))) 1)) (log (/ -1 x)))
(* -1 (* x (- (* -1 (sin (acos x))) 1)))

Calls

3 calls:

Time

Variable

Point

Expression

64.0ms

inf

((log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (+ (* -1/2 x) (/ 2 x)) (* -1/2 x) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (+ (* (- (* -1/8 (* x x)) 1/2) x) (/ 2 x)) (- (* -1/8 (* x x)) 1/2) (sqrt (/ 1 (* x x))) (log (+ (sqrt (/ 1 (* x x))) (/ (sqrt (- 1 (* x x))) x))) (+ (sqrt (/ 1 (* x x))) (/ (sqrt (- 1 (* x x))) x)) (/ 1 (* x x)) (/ (+ (* (sin (acos x)) x) x) (* x x)) (log (/ (+ (* (sin (acos x)) x) x) (* x x))) (+ (* (sin (acos x)) x) x) (sin (acos x)) (acos x))

33.0ms

-inf

((log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (+ (* -1/2 x) (/ 2 x)) (* -1/2 x) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (+ (* (- (* -1/8 (* x x)) 1/2) x) (/ 2 x)) (- (* -1/8 (* x x)) 1/2) (sqrt (/ 1 (* x x))) (log (+ (sqrt (/ 1 (* x x))) (/ (sqrt (- 1 (* x x))) x))) (+ (sqrt (/ 1 (* x x))) (/ (sqrt (- 1 (* x x))) x)) (/ 1 (* x x)) (/ (+ (* (sin (acos x)) x) x) (* x x)) (log (/ (+ (* (sin (acos x)) x) x) (* x x))) (+ (* (sin (acos x)) x) x) (sin (acos x)) (acos x))

33.0ms

((log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (+ (* -1/2 x) (/ 2 x)) (* -1/2 x) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (+ (* (- (* -1/8 (* x x)) 1/2) x) (/ 2 x)) (- (* -1/8 (* x x)) 1/2) (sqrt (/ 1 (* x x))) (log (+ (sqrt (/ 1 (* x x))) (/ (sqrt (- 1 (* x x))) x))) (+ (sqrt (/ 1 (* x x))) (/ (sqrt (- 1 (* x x))) x)) (/ 1 (* x x)) (/ (+ (* (sin (acos x)) x) x) (* x x)) (log (/ (+ (* (sin (acos x)) x) x) (* x x))) (+ (* (sin (acos x)) x) x) (sin (acos x)) (acos x))

simplify155.0ms (3%)

Memory

8.1MiB live, 190.3MiB allocated; 48ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	182	634
1	502	602
2	1463	591
3	5203	573
0	8252	557

Stop Event

1×	iter limit
1×	node limit

Counts

53 → 53

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)
-1/2
(- (* -1/8 (pow x 2)) 1/2)
(/ 1 x)
(/ 1 (pow x 2))
(/ (+ 1 (sin (acos x))) x)
(+ (log (+ 1 (sin (acos x)))) (* -1 (log x)))
(* x (+ 1 (sin (acos x))))
(sin (acos x))
(acos 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))
(* -1/8 (pow x 3))
(* -1 (* (pow x 3) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(* (pow x 3) (- (/ 2 (pow x 4)) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(* -1/8 (pow x 2))
(* -1 (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(+ (log (+ 1 (sin (acos x)))) (log (/ 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 (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))))))
(* -1 (* (pow x 3) (- (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (/ 2 (pow x 4)))))
(/ -1 x)
(+ (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (/ 1 (sqrt -1))) x)))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3))) (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1)))) x)))
(- (* -1 (sqrt -1)) (/ 1 x))
(+ (* -1 (sqrt -1)) (* -1 (/ (+ 1 (* 1/2 (/ 1 (* x (sqrt -1))))) x)))
(+ (* -1 (sqrt -1)) (* -1 (/ (+ 1 (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x))) x)))
(* -1 (/ (- (* -1 (sin (acos x))) 1) x))
(+ (log (- (* -1 (sin (acos x))) 1)) (log (/ -1 x)))
(* -1 (* x (- (* -1 (sin (acos x))) 1)))

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 (.f64 x x) #s(literal -1/8 binary64) #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 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/16 binary64) (.f64 x x)) #s(literal 1/8 binary64)) 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)
-1/2
#s(literal -1/2 binary64)
(- (* -1/8 (pow x 2)) 1/2)
(fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal -1/2 binary64))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 (pow x 2))
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(/ (+ 1 (sin (acos x))) x)
(/.f64 (+.f64 (sin.f64 (acos.f64 x)) #s(literal 1 binary64)) x)
(+ (log (+ 1 (sin (acos x)))) (* -1 (log x)))
(-.f64 (log1p.f64 (sin.f64 (acos.f64 x))) (log.f64 x))
(* x (+ 1 (sin (acos x))))
(fma.f64 (sin.f64 (acos.f64 x)) x x)
(sin (acos x))
(sin.f64 (acos.f64 x))
(acos x)
(acos.f64 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 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #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))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))))
(-.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (log.f64 (sqrt.f64 #s(literal -1 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 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))) x))
(- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))
(-.f64 (-.f64 (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)))) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))) 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)
(* -1/8 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64))
(* -1 (* (pow x 3) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(.f64 (fma.f64 (.f64 x x) #s(literal -1/8 binary64) #s(literal -1/2 binary64)) x)
(* (pow x 3) (- (/ 2 (pow x 4)) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(.f64 (fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/8 binary64)) (.f64 x x) #s(literal -1/2 binary64)) x)
(* -1/8 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/8 binary64))
(* -1 (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal -1/2 binary64))
(+ (log (+ 1 (sin (acos x)))) (log (/ 1 x)))
(-.f64 (log1p.f64 (sin.f64 (acos.f64 x))) (log.f64 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 (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) 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)))
(-.f64 (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (/.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)))))
(* -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 (-.f64 (/.f64 (/.f64 (fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal 1/8 binary64) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 x)) #s(literal 1 binary64)) (neg.f64 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)
(* -1 (* (pow x 3) (- (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (/ 2 (pow x 4)))))
(neg.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 3 binary64)))))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(+ (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 (/ (- (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (/ 1 (sqrt -1))) x)))
(-.f64 (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) x))))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3))) (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1)))) x)))
(-.f64 (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal 3 binary64))) (+.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 5 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) x)))))
(- (* -1 (sqrt -1)) (/ 1 x))
(-.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x))
(+ (* -1 (sqrt -1)) (* -1 (/ (+ 1 (* 1/2 (/ 1 (* x (sqrt -1))))) x)))
(-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))) x) (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1 (sqrt -1)) (* -1 (/ (+ 1 (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x))) x)))
(-.f64 (/.f64 (+.f64 (/.f64 (/.f64 (fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal 1/8 binary64) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))) x) #s(literal -1 binary64)) x) (sqrt.f64 #s(literal -1 binary64)))
(* -1 (/ (- (* -1 (sin (acos x))) 1) x))
(/.f64 (-.f64 (neg.f64 (sin.f64 (acos.f64 x))) #s(literal 1 binary64)) (neg.f64 x))
(+ (log (- (* -1 (sin (acos x))) 1)) (log (/ -1 x)))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (-.f64 (neg.f64 (sin.f64 (acos.f64 x))) #s(literal 1 binary64))))
(* -1 (* x (- (* -1 (sin (acos x))) 1)))
(*.f64 (neg.f64 x) (-.f64 (neg.f64 (sin.f64 (acos.f64 x))) #s(literal 1 binary64)))

rewrite159.0ms (3%)

Memory

0.4MiB live, 192.0MiB allocated; 26ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	235
0	62	205
1	222	193
2	1585	188
0	9091	183

Stop Event

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

Counts

17 → 548

Calls

Call 1

Inputs
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (+ (* -1/2 x) (/ 2 x)) (*.f64 #s(literal -1/2 binary64) x))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (+ (* -1/2 x) (/ 2 x)) (*.f64 #s(literal -1/2 binary64) x)))
#s(approx (+ (* -1/2 x) (/ 2 x)) (*.f64 #s(literal -1/2 binary64) x))
(*.f64 #s(literal -1/2 binary64) x)
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 #s(approx (- (* -1/8 (* x x)) 1/2) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64))) x (/.f64 #s(literal 2 binary64) x))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 #s(approx (- (* -1/8 (* x x)) 1/2) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64))) x (/.f64 #s(literal 2 binary64) x)))
(fma.f64 #s(approx (- (* -1/8 (* x x)) 1/2) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64))) x (/.f64 #s(literal 2 binary64) x))
#s(approx (- (* -1/8 (* x x)) 1/2) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(log.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) x)))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) x))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/.f64 (fma.f64 (sin.f64 (acos.f64 x)) x x) (*.f64 x x))
(log.f64 (/.f64 (fma.f64 (sin.f64 (acos.f64 x)) x x) (*.f64 x x)))
(fma.f64 (sin.f64 (acos.f64 x)) x x)
(sin.f64 (acos.f64 x))
(acos.f64 x)

Outputs
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (+ (* -1/2 x) (/ 2 x)) (*.f64 #s(literal -1/2 binary64) x))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (+ (* -1/2 x) (/ 2 x)) (*.f64 #s(literal -1/2 binary64) x)))
#s(approx (+ (* -1/2 x) (/ 2 x)) (*.f64 #s(literal -1/2 binary64) x))
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 x #s(literal -1/2 binary64))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 #s(approx (- (* -1/8 (* x x)) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal -1/2 binary64))) x (/.f64 #s(literal -2 binary64) x))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 #s(approx (- (* -1/8 (* x x)) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal -1/2 binary64))) x (/.f64 #s(literal -2 binary64) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 2 binary64)) (pow.f64 (.f64 #s(approx (- ( -1/8 (* x x)) 1/2) (fma.f64 (.f64 x x) #s(literal -1/8 binary64) #s(literal -1/2 binary64))) x) #s(literal 2 binary64)))) (neg.f64 (fma.f64 #s(approx (- ( -1/8 (* x x)) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal -1/2 binary64))) x (/.f64 #s(literal -2 binary64) x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(approx (- ( -1/8 (* x x)) 1/2) (fma.f64 (.f64 x x) #s(literal -1/8 binary64) #s(literal -1/2 binary64))) x) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (.f64 #s(approx (- (* -1/8 (* x x)) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal -1/2 binary64))) x) (/.f64 #s(literal -2 binary64) x)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (.f64 #s(approx (- ( -1/8 (* x x)) 1/2) (fma.f64 (.f64 x x) #s(literal -1/8 binary64) #s(literal -1/2 binary64))) x) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 #s(literal -2 binary64) x) (fma.f64 #s(approx (- ( -1/8 (* x x)) 1/2) (fma.f64 (.f64 x x) #s(literal -1/8 binary64) #s(literal -1/2 binary64))) x (/.f64 #s(literal -2 binary64) x)) (pow.f64 (.f64 #s(approx (- (* -1/8 (* x x)) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal -1/2 binary64))) x) #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 #s(approx (- (* -1/8 (* x x)) 1/2) (fma.f64 (.f64 x x) #s(literal -1/8 binary64) #s(literal -1/2 binary64))) x) #s(literal 2 binary64)) (-.f64 (.f64 #s(approx (- (* -1/8 (* x x)) 1/2) (fma.f64 (.f64 x x) #s(literal -1/8 binary64) #s(literal -1/2 binary64))) x) (/.f64 #s(literal -2 binary64) x))) (.f64 (-.f64 (.f64 #s(approx (- ( -1/8 (* x x)) 1/2) (fma.f64 (.f64 x x) #s(literal -1/8 binary64) #s(literal -1/2 binary64))) x) (/.f64 #s(literal -2 binary64) x)) (pow.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 2 binary64)))) (.f64 (-.f64 (.f64 #s(approx (- ( -1/8 (* x x)) 1/2) (fma.f64 (.f64 x x) #s(literal -1/8 binary64) #s(literal -1/2 binary64))) x) (/.f64 #s(literal -2 binary64) x)) (-.f64 (.f64 #s(approx (- (* -1/8 (* x x)) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal -1/2 binary64))) x) (/.f64 #s(literal -2 binary64) x))))
(/.f64 (fma.f64 (pow.f64 (.f64 #s(approx (- ( -1/8 (* x x)) 1/2) (fma.f64 (.f64 x x) #s(literal -1/8 binary64) #s(literal -1/2 binary64))) x) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) x) (fma.f64 #s(approx (- ( -1/8 (* x x)) 1/2) (fma.f64 (.f64 x x) #s(literal -1/8 binary64) #s(literal -1/2 binary64))) x (/.f64 #s(literal -2 binary64) x)) (pow.f64 (.f64 #s(approx (- (* -1/8 (* x x)) 1/2) (fma.f64 (.f64 x x) #s(literal -1/8 binary64) #s(literal -1/2 binary64))) x) #s(literal 2 binary64))) (.f64 (fma.f64 (/.f64 #s(literal -2 binary64) x) (fma.f64 #s(approx (- (* -1/8 (* x x)) 1/2) (fma.f64 (.f64 x x) #s(literal -1/8 binary64) #s(literal -1/2 binary64))) x (/.f64 #s(literal -2 binary64) x)) (pow.f64 (.f64 #s(approx (- (* -1/8 (* x x)) 1/2) (fma.f64 (.f64 x x) #s(literal -1/8 binary64) #s(literal -1/2 binary64))) x) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)))) (.f64 (fma.f64 (/.f64 #s(literal -2 binary64) x) (fma.f64 #s(approx (- (* -1/8 (* x x)) 1/2) (fma.f64 (.f64 x x) #s(literal -1/8 binary64) #s(literal -1/2 binary64))) x (/.f64 #s(literal -2 binary64) x)) (pow.f64 (.f64 #s(approx (- (* -1/8 (* x x)) 1/2) (fma.f64 (.f64 x x) #s(literal -1/8 binary64) #s(literal -1/2 binary64))) x) #s(literal 2 binary64))) (fma.f64 (/.f64 #s(literal -2 binary64) x) (fma.f64 #s(approx (- ( -1/8 (* x x)) 1/2) (fma.f64 (.f64 x x) #s(literal -1/8 binary64) #s(literal -1/2 binary64))) x (/.f64 #s(literal -2 binary64) x)) (pow.f64 (.f64 #s(approx (- (* -1/8 (* x x)) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal -1/2 binary64))) x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(approx (- ( -1/8 (* x x)) 1/2) (fma.f64 (.f64 x x) #s(literal -1/8 binary64) #s(literal -1/2 binary64))) x) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 2 binary64))) (-.f64 (.f64 #s(approx (- (* -1/8 (* x x)) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal -1/2 binary64))) x) (/.f64 #s(literal -2 binary64) x)))
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(-.f64 (log1p.f64 (sin.f64 (acos.f64 x))) (log.f64 x))
(-.f64 (log.f64 (fma.f64 (sin.f64 (acos.f64 x)) x x)) (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (log1p.f64 (sin.f64 (acos.f64 x))) (log.f64 (/.f64 x (*.f64 x x))))
(+.f64 (-.f64 (log1p.f64 (sin.f64 (acos.f64 x))) (log.f64 x)) (log.f64 (/.f64 x x)))
(log.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (tan.f64 (acos.f64 x))))
(*.f64 (neg.f64 (+.f64 (sin.f64 (acos.f64 x)) #s(literal 1 binary64))) x)
(*.f64 (+.f64 (sin.f64 (acos.f64 x)) #s(literal 1 binary64)) x)
(*.f64 x (+.f64 (sin.f64 (acos.f64 x)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (fma.f64 x x (pow.f64 x #s(literal 4 binary64))))) (fma.f64 (sin.f64 (acos.f64 x)) x x))
(/.f64 (neg.f64 (neg.f64 (-.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) (.f64 x x)))) (neg.f64 (neg.f64 (-.f64 (hypot.f64 (.f64 x x) x) x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) (.f64 x x)))) (neg.f64 (-.f64 (hypot.f64 (.f64 x x) x) x)))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (hypot.f64 (*.f64 x x) x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (fma.f64 (sin.f64 (acos.f64 x)) x x) (fma.f64 x x (pow.f64 x #s(literal 4 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (hypot.f64 (*.f64 x x) x) #s(literal 3 binary64))))) (neg.f64 (fma.f64 x (fma.f64 (sin.f64 (acos.f64 x)) x x) (fma.f64 x x (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (-.f64 (.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) (-.f64 (hypot.f64 (.f64 x x) x) x)) (.f64 (-.f64 (hypot.f64 (.f64 x x) x) x) (.f64 x x))) (.f64 (-.f64 (hypot.f64 (.f64 x x) x) x) (-.f64 (hypot.f64 (.f64 x x) x) x)))
(/.f64 (fma.f64 (pow.f64 (hypot.f64 (.f64 x x) x) #s(literal 3 binary64)) (fma.f64 x (fma.f64 (sin.f64 (acos.f64 x)) x x) (fma.f64 x x (pow.f64 x #s(literal 4 binary64)))) (.f64 (fma.f64 x (fma.f64 (sin.f64 (acos.f64 x)) x x) (fma.f64 x x (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 x (fma.f64 (sin.f64 (acos.f64 x)) x x) (fma.f64 x x (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x (fma.f64 (sin.f64 (acos.f64 x)) x x) (fma.f64 x x (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (-.f64 (*.f64 x x) (fma.f64 x x (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (sin.f64 (acos.f64 x)) x x))
(/.f64 (neg.f64 (-.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) (.f64 x x))) (neg.f64 (neg.f64 (-.f64 (hypot.f64 (.f64 x x) x) x))))
(/.f64 (neg.f64 (-.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) (.f64 x x))) (neg.f64 (-.f64 (hypot.f64 (.f64 x x) x) x)))
(/.f64 (neg.f64 (-.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) (.f64 x x))) (-.f64 (hypot.f64 (.f64 x x) x) x))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (hypot.f64 (*.f64 x x) x) #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (fma.f64 (sin.f64 (acos.f64 x)) x x) (fma.f64 x x (pow.f64 x #s(literal 4 binary64)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (hypot.f64 (.f64 x x) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) (.f64 (hypot.f64 (*.f64 x x) x) x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (hypot.f64 (*.f64 x x) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (fma.f64 (sin.f64 (acos.f64 x)) x x) (fma.f64 x x (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (hypot.f64 (*.f64 x x) x) #s(literal 3 binary64)))) (fma.f64 x (fma.f64 (sin.f64 (acos.f64 x)) x x) (fma.f64 x x (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) (.f64 x x)) (neg.f64 (-.f64 (hypot.f64 (.f64 x x) x) x)))
(/.f64 (-.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) (.f64 x x)) (-.f64 (hypot.f64 (.f64 x x) x) x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (hypot.f64 (.f64 x x) x) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) (.f64 (hypot.f64 (*.f64 x x) x) x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (hypot.f64 (*.f64 x x) x) #s(literal 3 binary64))) (neg.f64 (fma.f64 x (fma.f64 (sin.f64 (acos.f64 x)) x x) (fma.f64 x x (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (hypot.f64 (*.f64 x x) x) #s(literal 3 binary64))) (fma.f64 x (fma.f64 (sin.f64 (acos.f64 x)) x x) (fma.f64 x x (pow.f64 x #s(literal 4 binary64)))))
(neg.f64 (fma.f64 (sin.f64 (acos.f64 x)) x x))
(fma.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)) (neg.f64 (hypot.f64 (*.f64 x x) x)))
(fma.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)) (hypot.f64 (*.f64 x x) x))
(fma.f64 (fabs.f64 (sin.f64 (acos.f64 x))) x x)
(fma.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) x (neg.f64 (hypot.f64 (*.f64 x x) x)))
(fma.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) x (hypot.f64 (*.f64 x x) x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (hypot.f64 (*.f64 x x) x)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 (*.f64 x x) x))
(fma.f64 (sin.f64 (acos.f64 x)) x x)
(fma.f64 x (fabs.f64 (sin.f64 (acos.f64 x))) x)
(fma.f64 x (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (neg.f64 (hypot.f64 (*.f64 x x) x)))
(fma.f64 x (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (hypot.f64 (*.f64 x x) x))
(fma.f64 x (sin.f64 (acos.f64 x)) x)
(fma.f64 x #s(literal 1 binary64) (neg.f64 (hypot.f64 (*.f64 x x) x)))
(fma.f64 x #s(literal 1 binary64) (hypot.f64 (*.f64 x x) x))
(fma.f64 #s(literal 1 binary64) x (neg.f64 (hypot.f64 (*.f64 x x) x)))
(fma.f64 #s(literal 1 binary64) x (hypot.f64 (*.f64 x x) x))
(-.f64 (/.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) (neg.f64 (-.f64 (hypot.f64 (.f64 x x) x) x))) (/.f64 (.f64 x x) (-.f64 (hypot.f64 (*.f64 x x) x) x)))
(-.f64 (/.f64 (*.f64 x x) (fma.f64 (sin.f64 (acos.f64 x)) x x)) (/.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) (fma.f64 (sin.f64 (acos.f64 x)) x x)))
(-.f64 (/.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) (-.f64 (hypot.f64 (.f64 x x) x) x)) (/.f64 (.f64 x x) (-.f64 (hypot.f64 (*.f64 x x) x) x)))
(-.f64 x (*.f64 (neg.f64 (sin.f64 (acos.f64 x))) x))
(-.f64 x (hypot.f64 (*.f64 x x) x))
(+.f64 (/.f64 (pow.f64 (hypot.f64 (*.f64 x x) x) #s(literal 3 binary64)) (fma.f64 x (fma.f64 (sin.f64 (acos.f64 x)) x x) (fma.f64 x x (pow.f64 x #s(literal 4 binary64))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (fma.f64 (sin.f64 (acos.f64 x)) x x) (fma.f64 x x (pow.f64 x #s(literal 4 binary64))))))
(+.f64 (neg.f64 (hypot.f64 (*.f64 x x) x)) x)
(+.f64 (hypot.f64 (*.f64 x x) x) x)
(+.f64 x (neg.f64 (hypot.f64 (*.f64 x x) x)))
(+.f64 x (hypot.f64 (*.f64 x x) x))
(*.f64 (neg.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64))))
(*.f64 (fabs.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 (log1p.f64 (*.f64 x x))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (sin.f64 (acos.f64 (*.f64 x x)))) (neg.f64 (sin.f64 (acos.f64 x))))
(/.f64 (neg.f64 (sin.f64 (acos.f64 (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (sqrt.f64 (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) (sqrt.f64 (neg.f64 (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))) (sqrt.f64 (neg.f64 (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x x)))))
(/.f64 (sin.f64 (acos.f64 (*.f64 x x))) (sin.f64 (acos.f64 x)))
(/.f64 (sin.f64 (acos.f64 (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))))
(fma.f64 #s(literal 0 binary64) x (*.f64 #s(literal 1 binary64) (sin.f64 (acos.f64 x))))
(fma.f64 x #s(literal 0 binary64) (*.f64 (sin.f64 (acos.f64 x)) #s(literal 1 binary64)))
(sin.f64 (+.f64 (asin.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (acos.f64 x))
(cosh.f64 (asinh.f64 x))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(-.f64 (.f64 #s(literal 1 binary64) (sin.f64 (acos.f64 x))) (.f64 #s(literal 0 binary64) x))
(cos.f64 (asin.f64 x))
(exp.f64 (.f64 (log1p.f64 (.f64 x x)) #s(literal 1/2 binary64)))
(+.f64 (.f64 x #s(literal 0 binary64)) (.f64 (sin.f64 (acos.f64 x)) #s(literal 1 binary64)))
(+.f64 (cosh.f64 (.f64 (log1p.f64 (.f64 x x)) #s(literal 1/2 binary64))) (sinh.f64 (.f64 (log1p.f64 (.f64 x x)) #s(literal 1/2 binary64))))
(+.f64 (.f64 #s(literal 0 binary64) x) (.f64 #s(literal 1 binary64) (sin.f64 (acos.f64 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 x) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (asin.f64 x) (asin.f64 x) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 x))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 x) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 x)))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (asin.f64 x) (asin.f64 x) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 x)))))
(-.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 x))) (/.f64 (pow.f64 (asin.f64 x) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 x))))
(-.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (asin.f64 x) (asin.f64 x) (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 x))))) (/.f64 (pow.f64 (asin.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (asin.f64 x) (asin.f64 x) (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 x))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 x))
(-.f64 (PI.f64) (acos.f64 x))
(acos.f64 x)

eval74.0ms (1.4%)

Memory: 9.5MiB live, 100.5MiB allocated; 6ms collecting garbage
Compiler: Compiled 9 495 to 1 593 computations (83.2% saved)

prune8.0ms (0.2%)

Memory

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

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	411	1	412
Fresh	0	0	0
Picked	1	3	4
Done	0	3	3
Total	412	7	419

Accuracy

100.0%

Counts

419 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	55.6%	(log.f64 (/.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x x) (*.f64 x x)))
✓	100.0%	(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
✓	53.5%	(log.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) x)))
✓	99.7%	(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 #s(approx (- (* -1/8 (* x x)) 1/2) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64))) x (/.f64 #s(literal 2 binary64) x))))
✓	99.6%	(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))))
✓	99.2%	(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 (+ (* -1/2 x) (/ 2 x)) (*.f64 #s(literal -1/2 binary64) x))))

Compiler

Compiled 137 to 93 computations (32.1% saved)

simplify110.0ms (2.1%)

Memory

-15.9MiB live, 42.1MiB allocated; 31ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
cost-diff	0	(fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x x)
cost-diff	0	(log.f64 (/.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x x) (*.f64 x x)))
cost-diff	3	(/.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x x) (*.f64 x x))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	8	47
0	15	47
1	31	47
2	96	45
3	300	41
4	816	41
5	2598	41
6	4968	41
7	5652	41
8	6328	41
9	7879	41
0	8077	41

Stop Event

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

Calls

Call 1

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

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

localize37.0ms (0.7%)

Memory

3.2MiB live, 48.7MiB allocated; 5ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x x)
accuracy	0.0	(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
accuracy	0.015625	(log.f64 (/.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x x) (*.f64 x x)))
accuracy	27.162189932604193	(/.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x x) (*.f64 x x))

Samples

29.0ms

256×

valid

Compiler

Compiled 57 to 11 computations (80.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-hypot: 9.0ms (48.2% of total)

ival-mult: 3.0ms (16.1% of total)

ival-log: 3.0ms (16.1% of total)

ival-add: 2.0ms (10.7% of total)

ival-div: 1.0ms (5.4% 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

2.4MiB live, 2.4MiB allocated; 0ms collecting garbage

Counts

5 → 47

Calls

Call 1

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

Outputs
(/ 2 x)
(/ (+ 2 (* 1/2 (pow x 2))) x)
(/ (+ 2 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))) x)
(/ (+ 2 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))) x)
(+ (log 2) (* -1 (log x)))
(+ (log 2) (+ (* -1 (log x)) (* 1/4 (pow x 2))))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (+ 1/4 (* -3/32 (pow x 2))))))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 5/96 (pow x 2)) 3/32))))))
(* 2 x)
(* x (+ 2 (* 1/2 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(pow x 2)
(+ 1 (/ 1 x))
(+ 1 (+ (/ 1/2 (pow x 2)) (/ 1 x)))
(- (+ 1 (+ (/ 1/2 (pow x 2)) (/ 1 x))) (* 1/8 (/ 1 (pow x 4))))
(/ 1 x)
(/ (- 1 (* 1/6 (/ 1 (pow x 2)))) x)
(/ (- (+ 1 (/ 3/40 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))) x)
(/ (- (+ 1 (/ 3/40 (pow x 4))) (+ (* 1/6 (/ 1 (pow x 2))) (* 5/112 (/ 1 (pow x 6))))) x)
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (+ (/ 1/2 (pow x 2)) (/ 1 x))))
(* (pow x 2) (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ 1 x))) (* 1/8 (/ 1 (pow x 4)))))
x
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
-1
(- (/ 1 x) 1)
(- (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x)) 1)
(- (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x)) 1) x)) 1)
(log -1)
(- (log -1) (/ 1 x))
(+ (log -1) (* -1 (/ (- 1 (* 1/6 (/ 1 (pow x 2)))) x)))
(+ (log -1) (* -1 (/ (- (+ 1 (/ 3/40 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))) x)))
(* -1 (pow x 2))
(* (pow x 2) (- (/ 1 x) 1))
(* (pow x 2) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x)) 1))
(* (pow x 2) (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x)) 1) x)) 1))
(* -1 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

inf

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

1.0ms

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

1.0ms

-inf

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

simplify168.0ms (3.2%)

Memory

-16.8MiB live, 73.9MiB allocated; 9ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	125	542
1	379	536
2	1161	495
3	5102	493
0	8170	470

Stop Event

1×	iter limit
1×	node limit

Counts

47 → 46

Calls

Call 1

Inputs
(/ 2 x)
(/ (+ 2 (* 1/2 (pow x 2))) x)
(/ (+ 2 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))) x)
(/ (+ 2 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))) x)
(+ (log 2) (* -1 (log x)))
(+ (log 2) (+ (* -1 (log x)) (* 1/4 (pow x 2))))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (+ 1/4 (* -3/32 (pow x 2))))))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 5/96 (pow x 2)) 3/32))))))
(* 2 x)
(* x (+ 2 (* 1/2 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(pow x 2)
(+ 1 (/ 1 x))
(+ 1 (+ (/ 1/2 (pow x 2)) (/ 1 x)))
(- (+ 1 (+ (/ 1/2 (pow x 2)) (/ 1 x))) (* 1/8 (/ 1 (pow x 4))))
(/ 1 x)
(/ (- 1 (* 1/6 (/ 1 (pow x 2)))) x)
(/ (- (+ 1 (/ 3/40 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))) x)
(/ (- (+ 1 (/ 3/40 (pow x 4))) (+ (* 1/6 (/ 1 (pow x 2))) (* 5/112 (/ 1 (pow x 6))))) x)
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (+ (/ 1/2 (pow x 2)) (/ 1 x))))
(* (pow x 2) (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ 1 x))) (* 1/8 (/ 1 (pow x 4)))))
x
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
-1
(- (/ 1 x) 1)
(- (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x)) 1)
(- (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x)) 1) x)) 1)
(log -1)
(- (log -1) (/ 1 x))
(+ (log -1) (* -1 (/ (- 1 (* 1/6 (/ 1 (pow x 2)))) x)))
(+ (log -1) (* -1 (/ (- (+ 1 (/ 3/40 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))) x)))
(* -1 (pow x 2))
(* (pow x 2) (- (/ 1 x) 1))
(* (pow x 2) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x)) 1))
(* (pow x 2) (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x)) 1) x)) 1))
(* -1 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))

Outputs
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ (+ 2 (* 1/2 (pow x 2))) x)
(fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 2 binary64) x))
(/ (+ 2 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))) x)
(fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x (/.f64 #s(literal 2 binary64) x))
(/ (+ 2 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))) x)
(fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/16 binary64) (.f64 x x)) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x (/.f64 #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) (+ 1/4 (* -3/32 (pow x 2))))))
(fma.f64 (.f64 (fma.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) (+ 1/4 (* (pow x 2) (- (* 5/96 (pow x 2)) 3/32))))))
(fma.f64 (.f64 #s(literal 1/4 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 5/96 binary64) (*.f64 x x)) #s(literal 3/32 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* 1/2 (pow x 2))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))
(.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)
(* x (+ 2 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))
(.f64 (fma.f64 (fma.f64 (-.f64 (.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
#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) (+ 1/2 (* -1/8 (pow x 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) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(fma.f64 (fma.f64 (-.f64 (.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))
(pow x 2)
(*.f64 x x)
(+ 1 (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(+ 1 (+ (/ 1/2 (pow x 2)) (/ 1 x)))
(+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) x) (*.f64 x x)) #s(literal 1 binary64))
(- (+ 1 (+ (/ 1/2 (pow x 2)) (/ 1 x))) (* 1/8 (/ 1 (pow x 4))))
(-.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) x) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (- 1 (* 1/6 (/ 1 (pow x 2)))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) x)
(/ (- (+ 1 (/ 3/40 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))) x)
(/.f64 (-.f64 (/.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1 binary64))) x)
(/ (- (+ 1 (/ 3/40 (pow x 4))) (+ (* 1/6 (/ 1 (pow x 2))) (* 5/112 (/ 1 (pow x 6))))) x)
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1 binary64))) (/.f64 #s(literal 5/112 binary64) (pow.f64 x #s(literal 6 binary64)))) x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(* (pow x 2) (+ 1 (+ (/ 1/2 (pow x 2)) (/ 1 x))))
(fma.f64 (-.f64 x (/.f64 #s(literal -1/2 binary64) x)) x x)
(* (pow x 2) (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ 1 x))) (* 1/8 (/ 1 (pow x 4)))))
(*.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64))) x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x)) x)
x
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(-.f64 x (/.f64 #s(literal -1/2 binary64) x))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(-.f64 (-.f64 x (/.f64 #s(literal -1/2 binary64) x)) (*.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))) x))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(+.f64 (-.f64 x (/.f64 #s(literal -1/2 binary64) x)) (*.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) x))
-1
#s(literal -1 binary64)
(- (/ 1 x) 1)
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(- (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x)) 1)
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (neg.f64 x)) #s(literal 1 binary64))
(- (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x)) 1) x)) 1)
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (neg.f64 x)) #s(literal 1 binary64)) (neg.f64 x)) #s(literal 1 binary64))
(log -1)
(log.f64 #s(literal -1 binary64))
(- (log -1) (/ 1 x))
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
(+ (log -1) (* -1 (/ (- 1 (* 1/6 (/ 1 (pow x 2)))) x)))
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) x))
(+ (log -1) (* -1 (/ (- (+ 1 (/ 3/40 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))) x)))
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* (pow x 2) (- (/ 1 x) 1))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) x)
(* (pow x 2) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x)) 1))
(.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (neg.f64 x)) #s(literal 1 binary64)) (.f64 x x))
(* (pow x 2) (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x)) 1) x)) 1))
(.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (neg.f64 x)) #s(literal 1 binary64)) (neg.f64 x)) #s(literal 1 binary64)) (*.f64 x x))
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) x)
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(-.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) x) x) (*.f64 x (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64)))))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(-.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) x) x) (*.f64 x (-.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))))))

rewrite247.0ms (4.7%)

Memory

0.6MiB live, 240.0MiB allocated; 74ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	41
0	15	33
1	68	33
2	504	27
3	6185	27
0	8138	26

Stop Event

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

Counts

5 → 404

Calls

Call 1

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

Outputs
(.f64 (/.f64 (+.f64 (cosh.f64 (asinh.f64 x)) #s(literal 1 binary64)) (.f64 x x)) (/.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 (cosh.f64 (asinh.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 (fma.f64 (cosh.f64 (asinh.f64 x)) x (neg.f64 x)) (-.f64 (.f64 (cosh.f64 (asinh.f64 x)) x) x)) (/.f64 (-.f64 (.f64 (cosh.f64 (asinh.f64 x)) x) (neg.f64 x)) (.f64 x x)))
(.f64 (/.f64 (fma.f64 (cosh.f64 (asinh.f64 x)) x x) (-.f64 (.f64 (cosh.f64 (asinh.f64 x)) x) x)) (/.f64 (+.f64 (cosh.f64 (asinh.f64 x)) #s(literal 1 binary64)) x))
(.f64 (/.f64 (.f64 x (fma.f64 (fma.f64 x x #s(literal 1 binary64)) x (-.f64 x (.f64 (cosh.f64 (asinh.f64 x)) x)))) (.f64 x (fma.f64 (fma.f64 x x #s(literal 1 binary64)) x (-.f64 x (*.f64 (cosh.f64 (asinh.f64 x)) x))))) (/.f64 (+.f64 (cosh.f64 (asinh.f64 x)) #s(literal 1 binary64)) x))
(.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 (cosh.f64 (asinh.f64 x)) #s(literal 1 binary64)) (.f64 x x)))
(.f64 (-.f64 #s(literal -1 binary64) (cosh.f64 (asinh.f64 x))) (/.f64 x (.f64 (neg.f64 x) x)))
(.f64 (fma.f64 (cosh.f64 (asinh.f64 x)) x (neg.f64 x)) (/.f64 (-.f64 (.f64 (cosh.f64 (asinh.f64 x)) x) (neg.f64 x)) (.f64 (.f64 (-.f64 (*.f64 (cosh.f64 (asinh.f64 x)) x) x) x) x)))
(*.f64 (/.f64 (-.f64 #s(literal -1 binary64) (cosh.f64 (asinh.f64 x))) x) #s(literal -1 binary64))
(*.f64 (/.f64 (+.f64 (cosh.f64 (asinh.f64 x)) #s(literal 1 binary64)) x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (cosh.f64 (asinh.f64 x))) x))
(*.f64 (+.f64 (cosh.f64 (asinh.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(.f64 (.f64 x (fma.f64 (fma.f64 x x #s(literal 1 binary64)) x (-.f64 x (.f64 (cosh.f64 (asinh.f64 x)) x)))) (/.f64 (fma.f64 (cosh.f64 (asinh.f64 x)) x x) (.f64 (.f64 x (fma.f64 (fma.f64 x x #s(literal 1 binary64)) x (-.f64 x (.f64 (cosh.f64 (asinh.f64 x)) x)))) (*.f64 x x))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 (cosh.f64 (asinh.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (cosh.f64 (asinh.f64 x)) #s(literal 1 binary64)))
(.f64 (fma.f64 (cosh.f64 (asinh.f64 x)) x x) (/.f64 (-.f64 (.f64 (cosh.f64 (asinh.f64 x)) x) x) (.f64 (.f64 (-.f64 (*.f64 (cosh.f64 (asinh.f64 x)) x) x) x) x)))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 (cosh.f64 (asinh.f64 x)) #s(literal 1 binary64)) x))
(.f64 x (/.f64 (+.f64 (cosh.f64 (asinh.f64 x)) #s(literal 1 binary64)) (.f64 x x)))
(/.f64 (/.f64 (.f64 (.f64 x x) (fma.f64 (cosh.f64 (asinh.f64 x)) x x)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 x))
(/.f64 (/.f64 (.f64 (.f64 x x) (fma.f64 (cosh.f64 (asinh.f64 x)) x x)) (pow.f64 x #s(literal 3 binary64))) x)
(/.f64 (/.f64 (.f64 (.f64 x x) (fma.f64 (cosh.f64 (asinh.f64 x)) x x)) (.f64 (neg.f64 x) x)) (.f64 (neg.f64 x) x))
(/.f64 (/.f64 (.f64 (.f64 x x) (fma.f64 (cosh.f64 (asinh.f64 x)) x x)) (neg.f64 x)) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (/.f64 (.f64 (.f64 x x) (fma.f64 (cosh.f64 (asinh.f64 x)) x x)) (.f64 x x)) (.f64 x x))
(/.f64 (/.f64 (.f64 (.f64 x x) (fma.f64 (cosh.f64 (asinh.f64 x)) x x)) x) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (/.f64 (fma.f64 (cosh.f64 (asinh.f64 x)) x x) #s(literal 1 binary64)) (*.f64 x x))
(/.f64 (.f64 (expm1.f64 (log1p.f64 (.f64 x x))) (/.f64 #s(literal 1 binary64) x)) (-.f64 (cosh.f64 (asinh.f64 x)) #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)) (cosh.f64 (asinh.f64 x))))
(/.f64 (.f64 (expm1.f64 (log1p.f64 (.f64 x x))) #s(literal 1 binary64)) (*.f64 (-.f64 (cosh.f64 (asinh.f64 x)) #s(literal 1 binary64)) x))
(/.f64 (.f64 (+.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)) (cosh.f64 (asinh.f64 x))) x))
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) (cosh.f64 (asinh.f64 x))) x) x) (neg.f64 x))
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(fma.f64 #s(literal 1 binary64) x (*.f64 (cosh.f64 (asinh.f64 x)) x))
(fma.f64 x (/.f64 (.f64 x x) (.f64 x (fma.f64 (fma.f64 x x #s(literal 1 binary64)) x (-.f64 x (.f64 (cosh.f64 (asinh.f64 x)) x))))) (/.f64 (pow.f64 (.f64 (cosh.f64 (asinh.f64 x)) x) #s(literal 3 binary64)) (.f64 x (fma.f64 (fma.f64 x x #s(literal 1 binary64)) x (-.f64 x (.f64 (cosh.f64 (asinh.f64 x)) x))))))
(fma.f64 x (/.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) x) (-.f64 (.f64 (cosh.f64 (asinh.f64 x)) x) x)) (/.f64 (.f64 (neg.f64 x) x) (-.f64 (.f64 (cosh.f64 (asinh.f64 x)) x) x)))
(fma.f64 x (cosh.f64 (asinh.f64 x)) x)
(fma.f64 x #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 (cosh.f64 (asinh.f64 x)))) x))
(fma.f64 x #s(literal 1 binary64) (neg.f64 (*.f64 (neg.f64 x) (cosh.f64 (asinh.f64 x)))))
(fma.f64 x #s(literal 1 binary64) (*.f64 (cosh.f64 (asinh.f64 x)) x))
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 (cosh.f64 (asinh.f64 x)) x))) (/.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) (-.f64 x (*.f64 (cosh.f64 (asinh.f64 x)) x))))
(-.f64 (/.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) (-.f64 (.f64 (cosh.f64 (asinh.f64 x)) x) x)) (/.f64 (.f64 x x) (-.f64 (*.f64 (cosh.f64 (asinh.f64 x)) x) x)))
(-.f64 x (*.f64 (neg.f64 x) (cosh.f64 (asinh.f64 x))))
(+.f64 (neg.f64 (*.f64 (neg.f64 x) (cosh.f64 (asinh.f64 x)))) x)
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 x (fma.f64 (fma.f64 x x #s(literal 1 binary64)) x (-.f64 x (.f64 (cosh.f64 (asinh.f64 x)) x))))) (/.f64 (pow.f64 (.f64 (cosh.f64 (asinh.f64 x)) x) #s(literal 3 binary64)) (.f64 x (fma.f64 (fma.f64 x x #s(literal 1 binary64)) x (-.f64 x (*.f64 (cosh.f64 (asinh.f64 x)) x))))))
(+.f64 (/.f64 (pow.f64 (.f64 (cosh.f64 (asinh.f64 x)) x) #s(literal 3 binary64)) (.f64 x (fma.f64 (fma.f64 x x #s(literal 1 binary64)) x (-.f64 x (.f64 (cosh.f64 (asinh.f64 x)) x))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 x (fma.f64 (fma.f64 x x #s(literal 1 binary64)) x (-.f64 x (*.f64 (cosh.f64 (asinh.f64 x)) x))))))
(+.f64 (/.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) (-.f64 (.f64 (cosh.f64 (asinh.f64 x)) x) x)) (/.f64 (.f64 (neg.f64 x) x) (-.f64 (*.f64 (cosh.f64 (asinh.f64 x)) x) x)))
(+.f64 (*.f64 (cosh.f64 (asinh.f64 x)) x) x)
(+.f64 x (*.f64 (neg.f64 (neg.f64 (cosh.f64 (asinh.f64 x)))) x))
(+.f64 x (neg.f64 (*.f64 (neg.f64 x) (cosh.f64 (asinh.f64 x)))))
(+.f64 x (*.f64 (cosh.f64 (asinh.f64 x)) x))
(*.f64 (neg.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64))))
(*.f64 (fabs.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64))))
(.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(*.f64 (cosh.f64 (asinh.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cosh.f64 (asinh.f64 x)))
(*.f64 x (/.f64 (cosh.f64 (asinh.f64 x)) x))
(pow.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/2 binary64))
(/.f64 (.f64 (sinh.f64 (acosh.f64 (.f64 x x))) #s(literal 1 binary64)) (sinh.f64 (acosh.f64 x)))
(/.f64 (*.f64 (sin.f64 (acos.f64 (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (asinh.f64 x))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (neg.f64 (sinh.f64 (acosh.f64 (*.f64 x x)))) (neg.f64 (sinh.f64 (acosh.f64 x))))
(/.f64 (neg.f64 (sin.f64 (acos.f64 (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (sqrt.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (asinh.f64 x)))) #s(literal -2 binary64))
(/.f64 (sin.f64 (acos.f64 (*.f64 x x))) (sin.f64 (acos.f64 x)))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))) (sqrt.f64 (neg.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))))
(/.f64 (*.f64 (neg.f64 x) (cosh.f64 (asinh.f64 x))) (neg.f64 x))
(/.f64 (sinh.f64 (acosh.f64 (*.f64 x x))) (sinh.f64 (acosh.f64 x)))
(/.f64 (sin.f64 (acos.f64 (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))))
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (asinh.f64 x))) #s(literal 2 binary64))
(/.f64 (*.f64 (cosh.f64 (asinh.f64 x)) x) x)
(cosh.f64 (neg.f64 (neg.f64 (neg.f64 (asinh.f64 x)))))
(cosh.f64 (neg.f64 (neg.f64 (asinh.f64 (neg.f64 x)))))
(cosh.f64 (asinh.f64 (exp.f64 (log.f64 x))))
(cosh.f64 (neg.f64 (neg.f64 (asinh.f64 x))))
(cosh.f64 (neg.f64 (asinh.f64 (neg.f64 x))))
(cosh.f64 (neg.f64 (asinh.f64 x)))
(cosh.f64 (asinh.f64 (neg.f64 x)))
(cosh.f64 (asinh.f64 x))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(exp.f64 (log.f64 (cosh.f64 (asinh.f64 x))))
(+.f64 (/.f64 (exp.f64 (asinh.f64 x)) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 (asinh.f64 x))) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (log.f64 (cosh.f64 (asinh.f64 x)))) (sinh.f64 (log.f64 (cosh.f64 (asinh.f64 x)))))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(.f64 (.f64 x x) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64))))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))

eval76.0ms (1.5%)

Memory: 0.7MiB live, 87.8MiB allocated; 26ms collecting garbage
Compiler: Compiled 10 958 to 1 632 computations (85.1% saved)

prune11.0ms (0.2%)

Memory

30.5MiB live, 30.5MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	448	2	450
Fresh	0	0	0
Picked	1	0	1
Done	1	5	6
Total	450	7	457

Accuracy

100.0%

Counts

457 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	55.6%	(log.f64 (/.f64 #s(approx (+ (* (sqrt (+ (* x x) 1)) x) x) (.f64 #s(literal 2 binary64) x)) (.f64 x x)))
✓	100.0%	(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
✓	53.5%	(log.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) x)))
✓	99.7%	(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 #s(approx (- (* -1/8 (* x x)) 1/2) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64))) x (/.f64 #s(literal 2 binary64) x))))
✓	99.6%	(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))))
✓	99.2%	(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x)))
	5.5%	#s(approx (log (/ (+ (* (sqrt (+ (* x x) 1)) x) x) (* x x))) (/.f64 #s(literal 1 binary64) x))

Compiler

Compiled 379 to 175 computations (53.8% saved)

regimes15.0ms (0.3%)

Memory

-19.2MiB live, 27.2MiB allocated; 4ms collecting garbage

Counts

13 → 1

Calls

Call 1

Inputs
#s(approx (log (/ (+ (* (sqrt (+ (* x x) 1)) x) x) (* x x))) (/.f64 #s(literal 1 binary64) x))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (+ (* -1/2 x) (/ 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)) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 2 binary64) x))))
(log.f64 (/.f64 #s(approx (+ (* (sqrt (+ (* x x) 1)) x) x) (.f64 #s(literal 2 binary64) x)) (.f64 x x)))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 #s(approx (- (* -1/8 (* x x)) 1/2) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64))) x (/.f64 #s(literal 2 binary64) x))))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 (-.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) #s(literal 1/2 binary64)) x (/.f64 #s(literal 2 binary64) x))))
(log.f64 (/.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x x) (*.f64 x x)))
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
(log.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) x)))
(log.f64 (+.f64 (sqrt.f64 (pow.f64 x #s(literal -2 binary64))) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
(log.f64 (/.f64 (fma.f64 (sin.f64 (acos.f64 x)) 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)))

Calls

3 calls:

6.0ms

4.0ms

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

4.0ms

(+.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)

regimes10.0ms (0.2%)

Memory

23.9MiB live, 23.9MiB allocated; 0ms collecting garbage

Counts

9 → 1

Calls

Call 1

Inputs
#s(approx (log (/ (+ (* (sqrt (+ (* x x) 1)) x) x) (* x x))) (/.f64 #s(literal 1 binary64) x))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (+ (* -1/2 x) (/ 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)) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 2 binary64) x))))
(log.f64 (/.f64 #s(approx (+ (* (sqrt (+ (* x x) 1)) x) x) (.f64 #s(literal 2 binary64) x)) (.f64 x x)))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 #s(approx (- (* -1/8 (* x x)) 1/2) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64))) x (/.f64 #s(literal 2 binary64) x))))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 (-.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) #s(literal 1/2 binary64)) x (/.f64 #s(literal 2 binary64) x))))
(log.f64 (/.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x x) (*.f64 x x)))

Outputs

(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 #s(approx (- (* -1/8 (* x x)) 1/2) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64))) x (/.f64 #s(literal 2 binary64) x))))

Calls

3 calls:

3.0ms

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

3.0ms

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

3.0ms

Results

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

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes10.0ms (0.2%)

Memory

-33.6MiB live, 22.3MiB allocated; 5ms collecting garbage

Counts

6 → 1

Calls

Call 1

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

Outputs
(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))))

Calls

3 calls:

5.0ms

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
99.6%	1	`(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))`
99.6%	1	`(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))`
99.6%	1	`x`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes6.0ms (0.1%)

Memory

15.8MiB live, 15.8MiB allocated; 0ms collecting garbage

Counts

4 → 1

Calls

Call 1

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

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))

2.0ms

Results

Accuracy	Segments	Branch
99.2%	1	`(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))`
99.2%	1	`(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))`
99.2%	1	`x`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes5.0ms (0.1%)

Memory

11.8MiB live, 11.8MiB allocated; 0ms collecting garbage

Accuracy

Total -3.5b remaining (-5.8%)

Threshold costs -3.5b (-5.8%)

Counts

3 → 1

Calls

Call 1

Inputs

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

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

1.0ms

Results

Accuracy	Segments	Branch
5.5%	1	`(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))`
5.5%	1	`(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))`
5.5%	1	`x`

Compiler

Compiled 26 to 18 computations (30.8% saved)

simplify69.0ms (1.3%)

Memory

-35.7MiB live, 58.0MiB allocated; 4ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	39	96
1	71	96
2	162	94
3	388	92
4	949	92
5	2886	92
6	5785	92
7	7018	92

Stop Event

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)))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 #s(approx (- (* -1/8 (* x x)) 1/2) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64))) x (/.f64 #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))))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x)))
#s(approx (log (/ (+ (* (sqrt (+ (* x x) 1)) x) x) (* x x))) (/.f64 #s(literal 1 binary64) 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 (pow.f64 x #s(literal -1 binary64)) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 #s(approx (- (* -1/8 (* x x)) 1/2) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64))) x (/.f64 #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))))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x)))
#s(approx (log (/ (+ (* (sqrt (+ (* x x) 1)) x) x) (* x x))) (/.f64 #s(literal 1 binary64) x))
#s(approx (log (/ (+ (* (sqrt (+ (* x x) 1)) x) x) (* x x))) (pow.f64 x #s(literal -1 binary64)))

derivations628.0ms (12%)

Memory

4.5MiB live, 320.6MiB allocated; 83ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	187	764
1	532	730
2	1631	707
3	5476	683
0	8262	668
0	125	542
1	379	536
2	1161	495
3	5102	493
0	8170	470
0	155	722
1	420	699
2	1185	664
3	3838	630
0	8354	617
0	40	235
0	62	205
1	222	193
2	1585	188
0	9091	183
0	9	42
0	16	24
1	72	24
2	562	24
0	8744	23

Stop Event

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

Compiler

Compiled 102 to 42 computations (58.8% saved)

preprocess37.0ms (0.7%)

Memory: -25.2MiB live, 62.7MiB allocated; 15ms collecting garbage
Compiler: Compiled 230 to 102 computations (55.7% saved)

end0.0ms (0%)

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

Iter	Nodes	Cost
0	11	25
1	32	25
2	70	25
3	94	25
4	129	25
5	140	25
0	9	13
0	16	11
1	27	11
2	50	11
3	76	11
4	97	11
5	109	11
6	124	11
7	136	11
0	136	11

Iter	Nodes	Cost
0	36	267
0	56	251
1	76	251
2	120	251
3	175	251
4	240	251
5	278	251
6	300	251
7	312	251
0	312	251

Iter	Nodes	Cost
0	11	25
1	32	25
2	70	25
3	94	25
4	129	25
5	140	25
0	9	13
0	16	11
1	27	11
2	50	11
3	76	11
4	97	11
5	109	11
6	124	11
7	136	11
0	136	11

Iter	Nodes	Cost
0	36	267
0	56	251
1	76	251
2	120	251
3	175	251
4	240	251
5	278	251
6	300	251
7	312	251
0	312	251

start0.0ms (0%)

analyze3.0ms (0.1%)

sample1.8s (34.1%)

explain150.0ms (2.9%)

preprocess20.0ms (0.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify9.0ms (0.2%)

localize30.0ms (0.6%)

series6.0ms (0.1%)

simplify139.0ms (2.7%)

rewrite213.0ms (4.1%)

eval38.0ms (0.7%)

prune60.0ms (1.1%)

simplify10.0ms (0.2%)

localize88.0ms (1.7%)

series8.0ms (0.2%)

simplify166.0ms (3.2%)

rewrite191.0ms (3.7%)

eval112.0ms (2.1%)

prune8.0ms (0.2%)

simplify136.0ms (2.6%)

localize92.0ms (1.8%)

series130.0ms (2.5%)

simplify155.0ms (3%)

rewrite159.0ms (3%)

eval74.0ms (1.4%)

prune8.0ms (0.2%)

simplify110.0ms (2.1%)

localize37.0ms (0.7%)

series4.0ms (0.1%)

simplify168.0ms (3.2%)

rewrite247.0ms (4.7%)

eval76.0ms (1.5%)

prune11.0ms (0.2%)

regimes15.0ms (0.3%)

regimes10.0ms (0.2%)

regimes10.0ms (0.2%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

simplify69.0ms (1.3%)

derivations628.0ms (12%)

preprocess37.0ms (0.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	11	25
1	32	25
2	70	25
3	94	25
4	129	25
5	140	25
0	9	13
0	16	11
1	27	11
2	50	11
3	76	11
4	97	11
5	109	11
6	124	11
7	136	11
0	136	11

Iter	Nodes	Cost
0	36	267
0	56	251
1	76	251
2	120	251
3	175	251
4	240	251
5	278	251
6	300	251
7	312	251
0	312	251