Metrics for Hyperbolic arc-(co)secant

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze3.0ms (0.1%)

Memory

3.1MiB live, 3.1MiB 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)

sample1.3s (26%)

Memory

-39.1MiB live, 1 192.3MiB allocated

Samples

823.0ms	8 256×	0	valid
1.0ms	15×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 614.0ms

ival-div: 256.0ms (41.7% of total)

ival-log: 131.0ms (21.3% of total)

ival-sub: 61.0ms (9.9% of total)

ival-mult: 58.0ms (9.5% of total)

ival-sqrt: 58.0ms (9.5% of total)

ival-add: 37.0ms (6% 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 (3.1%)

Memory

21.6MiB live, 176.1MiB 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

43.0ms

512×

valid

Compiler

Compiled 173 to 40 computations (76.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-div: 7.0ms (26.6% of total)

ival-log: 6.0ms (22.8% of total)

ival-sqrt: 4.0ms (15.2% of total)

ival-mult: 3.0ms (11.4% of total)

ival-sub: 3.0ms (11.4% of total)

ival-add: 2.0ms (7.6% of total)

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

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

exact: 0.0ms (0% of total)

preprocess403.0ms (8.2%)

Memory

-1.3MiB live, 314.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 14 (0.0ms)

Iter	Nodes	Cost
0	11	31
1	34	27
2	71	27
3	153	27
4	261	27
5	411	27
6	644	23
7	1041	23
8	1462	23
9	2002	23
10	4351	23
11	5779	23
12	6813	23
13	7219	23
14	7587	23
15	7743	23
0	9	13
0	16	13
1	24	13
2	31	13
3	39	13
4	54	13
5	74	13
6	117	13
7	311	13
8	585	13
9	1157	13
10	2103	13
11	3883	13
12	4905	13
13	5277	13
14	5610	11
15	5914	11
16	5995	11
17	6230	11
18	7166	11
0	8296	11

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Compiler

Compiled 13 to 9 computations (30.8% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB 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)

simplify284.0ms (5.8%)

Memory

12.0MiB live, 214.8MiB 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	704	(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))

Iterations

Useful iterations: 14 (0.0ms)

Iter	Nodes	Cost
0	9	52
0	16	52
1	24	52
2	31	52
3	39	52
4	54	52
5	74	52
6	117	52
7	311	52
8	585	52
9	1157	52
10	2103	52
11	3883	52
12	4905	52
13	5277	52
14	5610	48
15	5914	48
16	5995	48
17	6230	48
18	7166	48
0	8296	48

Stop Event

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

Calls

Call 1

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

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

localize30.0ms (0.6%)

Memory

8.9MiB live, 46.0MiB allocated

Localize:

Found 4 expressions of interest:

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

Samples

23.0ms

256×

valid

Compiler

Compiled 106 to 20 computations (81.1% saved)

Precisions

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

ival-div: 4.0ms (30.6% of total)

ival-log: 3.0ms (23% of total)

ival-mult: 2.0ms (15.3% of total)

ival-sqrt: 2.0ms (15.3% 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)

series10.0ms (0.2%)

Memory

-37.5MiB live, 11.4MiB 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
6.0ms	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

6.0ms

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))))

simplify174.0ms (3.5%)

Memory

-2.8MiB live, 192.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	155	726
1	409	701
2	1119	681
3	3237	668
0	8046	639

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

rewrite244.0ms (4.9%)

Memory

16.3MiB live, 134.3MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	42
0	16	42
1	69	42
2	624	38
3	7607	38
0	8365	38

Stop Event

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

Counts

5 → 321

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 (fma.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) x x) x) (neg.f64 x)) #s(literal -1 binary64))
(.f64 (/.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (.f64 x (-.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))) (.f64 x x))
(.f64 (/.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (.f64 (pow.f64 x #s(literal -3 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal 3/2 binary64))))) (fma.f64 (+.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -2 binary64)) (.f64 (pow.f64 x #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))))
(.f64 (/.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (fma.f64 #s(literal -1 binary64) x (.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) x))) (.f64 (neg.f64 x) x))
(.f64 (/.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (fma.f64 (neg.f64 x) (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal -1/2 binary64)) x)) (/.f64 (*.f64 (neg.f64 x) x) (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))
(.f64 (/.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) x)) (/.f64 (*.f64 x x) (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))
(.f64 (/.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (+.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))) (neg.f64 x))
(.f64 (/.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))) x)
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal 3/2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -3 binary64))) (-.f64 (pow.f64 x #s(literal -4 binary64)) (pow.f64 (/.f64 (-.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (.f64 x x)) #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (-.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (.f64 x x))))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal 3/2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -3 binary64))) (+.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (.f64 x x)) #s(literal 3 binary64)) (pow.f64 x #s(literal -6 binary64)))) (fma.f64 (/.f64 (-.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (.f64 x x)) (-.f64 (/.f64 (-.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (*.f64 x x)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal -4 binary64))))
(.f64 (/.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (*.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x))
(.f64 (.f64 (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(.f64 (.f64 (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(.f64 (.f64 (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) x x) #s(literal 1 binary64)) (pow.f64 x #s(literal -2 binary64)))
(*.f64 (/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x) (pow.f64 x #s(literal -1 binary64))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) x) (-.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))))
(*.f64 (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) x x) x) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))))
(*.f64 (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(.f64 (pow.f64 x #s(literal -1/2 binary64)) (.f64 (pow.f64 x #s(literal -1/2 binary64)) (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64))))
(.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x)))
(.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))) (.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))
(.f64 (pow.f64 (+.f64 (/.f64 (-.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (.f64 x x)) (pow.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)) (*.f64 (+.f64 (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal 3/2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -3 binary64))))
(.f64 (neg.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) x)))
(.f64 (neg.f64 (.f64 (+.f64 (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal 3/2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (/.f64 (-.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (*.f64 x x)) (pow.f64 x #s(literal -2 binary64))))))
(.f64 (neg.f64 (fma.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) x x)) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) x)))
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eval67.0ms (1.4%)

Memory: 8.5MiB live, 45.8MiB allocated
Compiler: Compiled 9 473 to 1 333 computations (85.9% saved)

prune5.0ms (0.1%)

Memory

16.0MiB live, 16.0MiB allocated

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	364	3	367
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	365	3	368

Accuracy

100.0%

Counts

368 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)))
▶	99.7%	(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x)))
▶	0.0%	(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64))))

Status

Accuracy

Program

▶

100.0%

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

▶

99.7%

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

▶

0.0%

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

Compiler

Compiled 55 to 39 computations (29.1% saved)

simplify153.0ms (3.1%)

Memory

-7.3MiB live, 68.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64))
cost-diff	0	#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x))
cost-diff	0	(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)))
cost-diff	320	(/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)
cost-diff	0	(/.f64 #s(literal 2 binary64) x)
cost-diff	0	#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x))
cost-diff	0	(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x)))
cost-diff	0	(sqrt.f64 #s(literal -1 binary64))
cost-diff	0	#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64)))
cost-diff	0	(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	135
0	31	135
1	43	135
2	52	135
3	60	135
4	75	135
5	95	135
6	138	135
7	329	135
8	607	135
9	1231	135
10	2327	135
11	3435	135
12	4608	132
13	6189	132
0	8264	129

Stop Event

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

Calls

Call 1

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

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

localize165.0ms (3.4%)

Memory

-12.7MiB live, 39.8MiB allocated

Localize:

Found 10 expressions of interest:

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

Samples

154.0ms

256×

invalid

Compiler

Compiled 242 to 41 computations (83.1% saved)

Precisions

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

ival-div: 7.0ms (34.6% of total)

ival-mult: 3.0ms (14.8% of total)

ival-log: 3.0ms (14.8% of total)

ival-sqrt: 3.0ms (14.8% of total)

ival-add: 2.0ms (9.9% of total)

ival-sub: 1.0ms (4.9% of total)

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

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

exact: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory

2.3MiB live, 2.3MiB allocated

Counts

11 → 32

Calls

Call 1

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

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

Calls

3 calls:

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

Time

Variable

Point

Expression

1.0ms

-inf

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

1.0ms

inf

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

1.0ms

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

simplify155.0ms (3.2%)

Memory

10.3MiB live, 82.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	133	391
1	335	376
2	881	368
3	2419	367
4	6086	357
0	8124	335

Stop Event

1×	iter limit
1×	node limit

Counts

32 → 32

Calls

Call 1

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

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

rewrite172.0ms (3.5%)

Memory

-26.0MiB live, 91.2MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	129
0	31	129
1	112	129
2	866	117
0	8860	117

Stop Event

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

Counts

11 → 231

Calls

Call 1

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

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

eval57.0ms (1.2%)

Memory: 12.8MiB live, 50.5MiB allocated
Compiler: Compiled 7 481 to 1 114 computations (85.1% saved)

prune4.0ms (0.1%)

Memory

13.0MiB live, 13.0MiB allocated

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	256	2	258
Fresh	0	0	0
Picked	2	1	3
Done	0	0	0
Total	258	3	261

Accuracy

100.0%

Counts

261 → 3

Alt Table

Click to see full alt table

Status

Accuracy

Program

✓

99.7%

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

▶

100.0%

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

▶

0.0%

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

Compiler

Compiled 74 to 50 computations (32.4% saved)

simplify238.0ms (4.8%)

Memory

-17.6MiB live, 141.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Iterations

Useful iterations: 12 (0.0ms)

Iter	Nodes	Cost
0	22	158
0	27	158
1	41	158
2	49	158
3	57	158
4	72	158
5	92	158
6	135	158
7	326	158
8	608	158
9	1230	158
10	2345	158
11	3437	158
12	4613	140
13	6183	140
0	8255	140

Stop Event

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

Calls

Call 1

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

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

localize52.0ms (1.1%)

Memory

30.1MiB live, 68.8MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.0	(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* (* x x) -1/2) 2) x) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 2 binary64) x)))))
accuracy	0.0	#s(approx (/ (+ (* (* x x) -1/2) 2) 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)) #s(approx (/ (+ (* (* x x) -1/2) 2) x) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 2 binary64) x))))
accuracy	0.00390625	(fma.f64 #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 (/ (+ (* (* x x) -1/2) 2) x) (*.f64 #s(literal -1/2 binary64) x))))
accuracy	0.0	#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* (* x x) -1/2) 2) x) (*.f64 #s(literal -1/2 binary64) x)))
accuracy	62.99851528431731	#s(approx (/ (+ (* (* x x) -1/2) 2) x) (*.f64 #s(literal -1/2 binary64) x))

Samples

42.0ms

256×

valid

Compiler

Compiled 246 to 43 computations (82.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-div: 7.0ms (32.6% of total)

ival-mult: 5.0ms (23.3% of total)

ival-add: 3.0ms (14% of total)

ival-log: 3.0ms (14% of total)

ival-sqrt: 2.0ms (9.3% of total)

ival-sub: 1.0ms (4.7% of total)

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

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

exact: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory

5.0MiB live, 5.0MiB allocated

Counts

8 → 27

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

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

1.0ms

-inf

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

1.0ms

inf

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

simplify239.0ms (4.8%)

Memory

-32.3MiB live, 128.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	132	368
1	333	353
2	873	345
3	2394	344
4	5967	340
0	8215	326

Stop Event

1×	iter limit
1×	node limit

Counts

27 → 27

Calls

Call 1

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

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

rewrite282.0ms (5.7%)

Memory

-4.8MiB live, 129.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	150
0	27	150
1	122	150
2	1038	142
0	8790	136

Stop Event

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

Counts

8 → 60

Calls

Call 1

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

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

eval9.0ms (0.2%)

Memory: 15.1MiB live, 15.1MiB allocated
Compiler: Compiled 3 116 to 433 computations (86.1% saved)

prune59.0ms (1.2%)

Memory

-30.1MiB live, 9.1MiB allocated

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	85	3	88

Accuracy

100.0%

Counts

88 → 3

Alt Table

Click to see full alt table

Status

Accuracy

Program

✓

99.7%

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

✓

100.0%

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

✓

0.0%

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

Compiler

Compiled 199 to 92 computations (53.8% saved)

regimes8.0ms (0.2%)

Memory

13.1MiB live, 13.2MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

3 calls:

2.0ms

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

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

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)

regimes6.0ms (0.1%)

Memory

9.8MiB live, 9.8MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

3 calls:

2.0ms

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

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

Results

Accuracy	Segments	Branch
99.7%	1	`x`
99.7%	1	`(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))`
99.7%	1	`(+.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 (0.1%)

Memory

9.3MiB live, 9.3MiB 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 (/ (+ (* (* x x) -1/2) 2) x) (*.f64 #s(literal -1/2 binary64) x))))

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

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

Calls

3 calls:

1.0ms

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

1.0ms

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

1.0ms

Results

Accuracy	Segments	Branch
0.0%	1	`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)

simplify140.0ms (2.8%)

Memory

-16.3MiB live, 67.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	74
1	36	74
2	46	74
3	55	74
4	76	74
5	99	74
6	212	74
7	1173	74
8	2921	74
9	5598	74

Stop Event

1×	node limit

Calls

Call 1

Inputs

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

Outputs

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

soundness499.0ms (10.1%)

Memory

-14.8MiB live, 303.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	133	391
1	335	376
2	881	368
3	2419	367
4	6086	357
0	8124	335
0	155	726
1	409	701
2	1119	681
3	3237	668
0	8046	639

Stop Event

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

Compiler

Compiled 96 to 46 computations (52.1% saved)

preprocess18.0ms (0.4%)

Memory: 30.3MiB live, 30.3MiB allocated
Compiler: Compiled 174 to 70 computations (59.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze3.0ms (0.1%)

sample1.3s (26%)

explain155.0ms (3.1%)

preprocess403.0ms (8.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify284.0ms (5.8%)

localize30.0ms (0.6%)

series10.0ms (0.2%)

simplify174.0ms (3.5%)

rewrite244.0ms (4.9%)

eval67.0ms (1.4%)

prune5.0ms (0.1%)

simplify153.0ms (3.1%)

localize165.0ms (3.4%)

series4.0ms (0.1%)

simplify155.0ms (3.2%)

rewrite172.0ms (3.5%)

eval57.0ms (1.2%)

prune4.0ms (0.1%)

simplify238.0ms (4.8%)

localize52.0ms (1.1%)

series5.0ms (0.1%)

simplify239.0ms (4.8%)

rewrite282.0ms (5.7%)

eval9.0ms (0.2%)

prune59.0ms (1.2%)

regimes8.0ms (0.2%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

simplify140.0ms (2.8%)

soundness499.0ms (10.1%)

preprocess18.0ms (0.4%)

end0.0ms (0%)

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