Metrics for Hyperbolic arc-(co)secant

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze3.0ms (0.1%)

Memory

5.8MiB live, 5.8MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

sample1.2s (35.9%)

Memory

11.7MiB live, 955.8MiB allocated

Samples

831.0ms	8 256×	0	valid
1.0ms	16×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 609.0ms

ival-div: 274.0ms (45% of total)

ival-log: 122.0ms (20% of total)

ival-mult: 62.0ms (10.2% of total)

ival-sqrt: 59.0ms (9.7% of total)

ival-sub: 42.0ms (6.9% of total)

ival-add: 36.0ms (5.9% of total)

ival-true: 6.0ms (1% of total)

exact: 5.0ms (0.8% of total)

ival-assert: 3.0ms (0.5% of total)

Bogosity

explain155.0ms (4.8%)

Memory

-25.4MiB live, 98.3MiB allocated

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

55.0ms

512×

valid

Compiler

Compiled 121 to 31 computations (74.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-mult: 18.0ms (44% of total)

ival-div: 7.0ms (17.1% of total)

ival-log: 6.0ms (14.7% of total)

ival-sqrt: 4.0ms (9.8% of total)

ival-sub: 3.0ms (7.3% of total)

ival-add: 2.0ms (4.9% of total)

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

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

exact: 0.0ms (0% of total)

preprocess15.0ms (0.5%)

Memory

17.4MiB live, 17.4MiB allocated

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)

eval65.0ms (2%)

Memory: -36.5MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

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)

simplify5.0ms (0.2%)

Memory

4.1MiB live, 4.1MiB allocated

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)

localize27.0ms (0.8%)

Memory

29.0MiB live, 29.0MiB allocated

Localize:

Found 4 expressions of interest:

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

Samples

20.0ms

256×

valid

Compiler

Compiled 54 to 11 computations (79.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-div: 4.0ms (30.9% of total)

ival-log: 3.0ms (23.1% of total)

ival-mult: 2.0ms (15.4% of total)

ival-sqrt: 2.0ms (15.4% of total)

ival-add: 1.0ms (7.7% of total)

ival-sub: 1.0ms (7.7% of total)

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

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

exact: 0.0ms (0% of total)

series6.0ms (0.2%)

Memory

3.1MiB live, 3.1MiB allocated

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))))

simplify127.0ms (3.9%)

Memory

-0.2MiB live, 74.4MiB allocated

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)

rewrite151.0ms (4.7%)

Memory

-2.3MiB live, 80.8MiB allocated

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))))))))
(/.f64 (+.f64 (pow.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)))) #s(literal 3 binary64)) (pow.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)))) #s(literal 3 binary64))) (fma.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 (/.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 (pow.f64 (.f64 x (pow.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 x x) (tan.f64 (acos.f64 x))) #s(literal 3 binary64))) (fma.f64 (.f64 x (pow.f64 x #s(literal -2 binary64))) (.f64 x (pow.f64 x #s(literal -2 binary64))) (-.f64 (.f64 (.f64 (/.f64 x x) (tan.f64 (acos.f64 x))) (.f64 (/.f64 x x) (tan.f64 (acos.f64 x)))) (.f64 (.f64 x (pow.f64 x #s(literal -2 binary64))) (.f64 (/.f64 x x) (tan.f64 (acos.f64 x)))))))
(/.f64 (neg.f64 (/.f64 (neg.f64 (fma.f64 (sin.f64 (acos.f64 x)) x x)) x)) x)
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(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))))

eval128.0ms (4%)

Memory: -15.9MiB live, 59.9MiB allocated
Compiler: Compiled 6 916 to 1 219 computations (82.4% saved)

prune5.0ms (0.1%)

Memory

17.1MiB live, 17.1MiB allocated

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	295	4	299
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	295	5	300

Accuracy

100.0%

Counts

300 → 5

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)))
▶	99.8%	(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))))
▶	99.0%	(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 92 to 65 computations (29.3% saved)

simplify10.0ms (0.3%)

Memory

10.5MiB live, 10.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
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))))
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))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	208
0	41	192
1	60	192
2	104	192
3	161	192
4	226	192
5	265	192
6	290	192
7	302	192
0	302	192

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)) (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 #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)

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

localize87.0ms (2.7%)

Memory

-7.5MiB live, 73.9MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
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)))
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)))

Samples

52.0ms

256×

invalid

Compiler

Compiled 158 to 24 computations (84.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-mult: 6.0ms (20.8% of total)

ival-sub: 6.0ms (20.8% of total)

ival-div: 5.0ms (17.4% of total)

ival-add: 3.0ms (10.4% of total)

ival-log: 3.0ms (10.4% of total)

ival-sqrt: 3.0ms (10.4% of total)

exact: 1.0ms (3.5% of total)

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

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

series9.0ms (0.3%)

Memory

-23.9MiB live, 12.9MiB allocated

Counts

15 → 36

Calls

Call 1

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

Calls

3 calls:

Time	Variable		Point	Expression
5.0ms	x	@	inf	((log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt -1) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/ 2 x) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (+ (* -1/2 x) (/ 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) (* -1/8 (* x x)) (* x x))
2.0ms	x	@	-inf	((log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt -1) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/ 2 x) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (+ (* -1/2 x) (/ 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) (* -1/8 (* x x)) (* x x))
2.0ms	x	@	0	((log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt -1) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/ 2 x) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (+ (* -1/2 x) (/ 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) (* -1/8 (* x x)) (* x x))

Time

Variable

Point

Expression

5.0ms

inf

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

2.0ms

-inf

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

2.0ms

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

simplify130.0ms (4%)

Memory

20.0MiB live, 140.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	145	440
1	393	425
2	1174	412
3	3928	396
0	8244	385

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 36

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

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

rewrite177.0ms (5.5%)

Memory

11.2MiB live, 168.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	192
0	41	152
1	142	152
2	1018	152
0	8219	152

Stop Event

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

Counts

15 → 155

Calls

Call 1

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

Outputs
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (neg.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64))))
(*.f64 (fabs.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64))
(pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64))
(sqrt.f64 #s(literal -1 binary64))
(exp.f64 (*.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64))) (sinh.f64 (.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64))))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal -2 binary64) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 #s(literal -2 binary64) (neg.f64 x))
(/.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal 2 binary64) x)
(neg.f64 (/.f64 #s(literal -2 binary64) x))
(sqrt.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))
(fabs.f64 (/.f64 #s(literal -2 binary64) x))
(fabs.f64 (neg.f64 (/.f64 #s(literal 2 binary64) x)))
(fabs.f64 (/.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)))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 2 binary64) x))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 2 binary64) x))) (fma.f64 (/.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 2 binary64) x))) (/.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 2 binary64) x))) (.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 2 binary64) x))) (/.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 2 binary64) x)))))))
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(+.f64 (/.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal 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 2 binary64)) (.f64 (/.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) x) 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)) (+.f64 (pow.f64 (/.f64 #s(literal 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 2 binary64)) (.f64 (/.f64 (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) x) 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)) (+.f64 (pow.f64 (/.f64 #s(literal 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 2 binary64)) (.f64 (/.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) x) x) #s(literal 2 binary64))))) (/.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal 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 2 binary64)) (.f64 (/.f64 (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) x) x) #s(literal 2 binary64))))))
(+.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 (-.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 (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 (/.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 (neg.f64 (/.f64 #s(literal 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 (.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 2 binary64) x) (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) x))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (.f64 x x) #s(literal -1/8 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 x x) #s(literal -1/8 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (.f64 x x) #s(literal -1/8 binary64) #s(literal 1/2 binary64))) (/.f64 (.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (.f64 x x) #s(literal -1/8 binary64) #s(literal 1/2 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 x x) #s(literal -1/8 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 x x) #s(literal -1/8 binary64) #s(literal 1/2 binary64))) (.f64 (/.f64 (.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (.f64 x x) #s(literal -1/8 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal -1/512 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal -1/16 binary64) #s(literal 1/4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal -1/16 binary64) #s(literal 1/4 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal -1/512 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal -1/16 binary64) #s(literal 1/4 binary64)))) (/.f64 (.f64 #s(literal -1/512 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal -1/16 binary64) #s(literal 1/4 binary64)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal -1/16 binary64) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal -1/16 binary64) #s(literal 1/4 binary64)))) (.f64 (/.f64 (.f64 #s(literal -1/512 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal -1/16 binary64) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/16 binary64) #s(literal 1/4 binary64))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64)))) (neg.f64 (neg.f64 (fma.f64 (.f64 x x) #s(literal -1/8 binary64) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 #s(literal -1/512 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal -1/16 binary64) #s(literal 1/4 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (.f64 x x) #s(literal -1/8 binary64) #s(literal 1/2 binary64))) (.f64 (fma.f64 (.f64 x x) #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (.f64 (fma.f64 (.f64 x x) #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (fma.f64 (.f64 x x) #s(literal -1/8 binary64) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal -1/512 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal -1/16 binary64) #s(literal 1/4 binary64)))) (.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal -1/16 binary64) #s(literal 1/4 binary64))) #s(literal 1/8 binary64))) (.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal -1/16 binary64) #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal -1/16 binary64) #s(literal 1/4 binary64)))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64))) (neg.f64 (fma.f64 (.f64 x x) #s(literal -1/8 binary64) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal -1/512 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal -1/16 binary64) #s(literal 1/4 binary64)))))
(/.f64 (-.f64 (.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64)) (fma.f64 (.f64 x x) #s(literal -1/8 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (.f64 #s(literal -1/512 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal -1/16 binary64) #s(literal 1/4 binary64))))
(-.f64 (/.f64 (.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (.f64 x x) #s(literal -1/8 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal 1/2 binary64))))
(-.f64 (/.f64 (.f64 #s(literal -1/512 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal -1/16 binary64) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/16 binary64) #s(literal 1/4 binary64)))))
(-.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) #s(literal 1/2 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 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 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 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(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))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(-.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 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 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))

eval30.0ms (0.9%)

Memory: -11.2MiB live, 64.9MiB allocated
Compiler: Compiled 8 428 to 1 054 computations (87.5% saved)

prune4.0ms (0.1%)

Memory

13.4MiB live, 13.4MiB allocated

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	204	2	206
Fresh	0	0	0
Picked	2	2	4
Done	0	1	1
Total	206	5	211

Accuracy

100.0%

Counts

211 → 5

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)))
▶	99.8%	(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))))
✓	99.0%	(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 108 to 75 computations (30.6% saved)

simplify13.0ms (0.4%)

Memory

-33.4MiB live, 12.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
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	28	179
0	35	171
1	55	171
2	109	171
3	195	171
4	292	171
5	323	171
6	345	171
7	357	171
0	357	168

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)) #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)

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))))
#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)

localize49.0ms (1.5%)

Memory

14.7MiB live, 51.7MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x x)
accuracy	0.0	(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))))
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	0.158541922587549	#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	0.0	(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))))
accuracy	0.29734870989572293	#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (+ (* -1/2 x) (/ 2 x)) (*.f64 #s(literal -1/2 binary64) x)))
accuracy	62.998512034204296	#s(approx (+ (* -1/2 x) (/ 2 x)) (*.f64 #s(literal -1/2 binary64) x))

Samples

38.0ms

256×

valid

Compiler

Compiled 101 to 23 computations (77.2% saved)

Precisions

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

ival-div: 9.0ms (31.9% of total)

ival-mult: 6.0ms (21.2% of total)

ival-add: 4.0ms (14.2% of total)

ival-sub: 3.0ms (10.6% of total)

ival-log: 3.0ms (10.6% of total)

ival-sqrt: 2.0ms (7.1% of total)

exact: 1.0ms (3.5% of total)

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

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

series4.0ms (0.1%)

Memory

7.0MiB live, 7.0MiB allocated

Counts

9 → 36

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

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

-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) (* x x))

1.0ms

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) (* x x))

1.0ms

((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) (* x x))

simplify138.0ms (4.3%)

Memory

4.8MiB live, 157.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	145	440
1	393	425
2	1178	412
3	3927	396
0	8244	385

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 36

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

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

rewrite148.0ms (4.6%)

Memory

4.3MiB live, 164.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	164
0	35	144
1	146	144
2	1076	144
0	8167	141

Stop Event

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

Counts

9 → 64

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

eval14.0ms (0.4%)

Memory: -18.0MiB live, 20.9MiB allocated
Compiler: Compiled 5 195 to 554 computations (89.3% saved)

prune5.0ms (0.2%)

Memory

10.7MiB live, 10.7MiB allocated

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	0	0
Picked	0	2	2
Done	0	3	3
Total	99	5	104

Accuracy

100.0%

Counts

104 → 5

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)))
✓	99.8%	(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))))
✓	99.0%	(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 258 to 128 computations (50.4% saved)

regimes8.0ms (0.3%)

Memory

14.1MiB live, 14.1MiB allocated

Counts

7 → 1

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))))
(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 #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 (/.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)))

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))

2.0ms

Results

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

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes8.0ms (0.3%)

Memory

-25.1MiB live, 14.2MiB allocated

Counts

6 → 1

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))))
(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 #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))))

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)))

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
99.8%	1	`x`
99.8%	1	`(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))`
99.8%	1	`(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes6.0ms (0.2%)

Memory

12.6MiB live, 12.6MiB allocated

Counts

4 → 1

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))))
(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))))

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:

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

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes5.0ms (0.2%)

Memory

12.1MiB live, 12.1MiB allocated

Counts

3 → 1

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))))

(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
99.0%	1	`x`
99.0%	1	`(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))`
99.0%	1	`(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes42.0ms (1.3%)

Memory

-8.5MiB live, 44.5MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

2 → 1

Calls

Call 1

Inputs

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

Calls

3 calls:

5.0ms

1.0ms

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

1.0ms

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

Results

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

Compiler

Compiled 26 to 18 computations (30.8% saved)

simplify15.0ms (0.5%)

Memory

-20.5MiB live, 18.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	100
1	63	100
2	109	100
3	162	100
4	219	100
5	257	100
6	293	100
7	321	100

Stop Event

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)))
(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)))
(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))))

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)))
(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))))

soundness431.0ms (13.3%)

Memory

6.0MiB live, 196.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	155	722
1	420	699
2	1185	664
3	3838	630
0	8354	617
0	145	440
1	393	425
2	1174	412
3	3928	396
0	8244	385

Stop Event

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

Compiler

Compiled 139 to 72 computations (48.2% saved)

preprocess47.0ms (1.4%)

Memory: -1.8MiB live, 36.3MiB allocated
Compiler: Compiled 242 to 106 computations (56.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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	28	208
0	41	192
1	60	192
2	104	192
3	161	192
4	226	192
5	265	192
6	290	192
7	302	192
0	302	192

Iter	Nodes	Cost
0	28	179
0	35	171
1	55	171
2	109	171
3	195	171
4	292	171
5	323	171
6	345	171
7	357	171
0	357	168

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	28	208
0	41	192
1	60	192
2	104	192
3	161	192
4	226	192
5	265	192
6	290	192
7	302	192
0	302	192

Iter	Nodes	Cost
0	28	179
0	35	171
1	55	171
2	109	171
3	195	171
4	292	171
5	323	171
6	345	171
7	357	171
0	357	168

start0.0ms (0%)

analyze3.0ms (0.1%)

sample1.2s (35.9%)

explain155.0ms (4.8%)

preprocess15.0ms (0.5%)

eval65.0ms (2%)

prune1.0ms (0%)

simplify5.0ms (0.2%)

localize27.0ms (0.8%)

series6.0ms (0.2%)

simplify127.0ms (3.9%)

rewrite151.0ms (4.7%)

eval128.0ms (4%)

prune5.0ms (0.1%)

simplify10.0ms (0.3%)

localize87.0ms (2.7%)

series9.0ms (0.3%)

simplify130.0ms (4%)

rewrite177.0ms (5.5%)

eval30.0ms (0.9%)

prune4.0ms (0.1%)

simplify13.0ms (0.4%)

localize49.0ms (1.5%)

series4.0ms (0.1%)

simplify138.0ms (4.3%)

rewrite148.0ms (4.6%)

eval14.0ms (0.4%)

prune5.0ms (0.2%)

regimes8.0ms (0.3%)

regimes8.0ms (0.3%)

regimes6.0ms (0.2%)

regimes5.0ms (0.2%)

regimes42.0ms (1.3%)

simplify15.0ms (0.5%)

soundness431.0ms (13.3%)

preprocess47.0ms (1.4%)

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	28	208
0	41	192
1	60	192
2	104	192
3	161	192
4	226	192
5	265	192
6	290	192
7	302	192
0	302	192

Iter	Nodes	Cost
0	28	179
0	35	171
1	55	171
2	109	171
3	195	171
4	292	171
5	323	171
6	345	171
7	357	171
0	357	168