Metrics for Hyperbolic arc-(co)secant

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze3.0ms (0.1%)

Memory

1.0MiB live, 1.0MiB 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)

sample746.0ms (16.5%)

Memory

255.1MiB live, 255.1MiB allocated

Samples

519.0ms	8 256×	0	valid
1.0ms	20×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 379.0ms

ival-div: 106.0ms (27.9% of total)

ival-log: 94.0ms (24.8% of total)

ival-sqrt: 53.0ms (14% of total)

ival-mult: 43.0ms (11.3% of total)

ival-sub: 38.0ms (10% of total)

ival-add: 32.0ms (8.4% of total)

ival-true: 6.0ms (1.6% of total)

exact: 5.0ms (1.3% of total)

ival-assert: 3.0ms (0.8% of total)

Bogosity

explain145.0ms (3.2%)

Memory

81.0MiB live, 81.0MiB 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

38.0ms

512×

valid

Compiler

Compiled 225 to 69 computations (69.3% saved)

Precisions

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

ival-div: 6.0ms (24.5% of total)

ival-log: 6.0ms (24.5% of total)

ival-mult: 3.0ms (12.2% of total)

ival-sqrt: 3.0ms (12.2% of total)

ival-add: 2.0ms (8.2% of total)

ival-sub: 2.0ms (8.2% of total)

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

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

exact: 0.0ms (0% of total)

preprocess301.0ms (6.6%)

Memory

50.4MiB live, 50.4MiB 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	409	27
6	633	23
7	1008	23
8	1424	23
9	1995	23
10	4391	23
11	5872	23
12	6901	23
13	7311	23
14	7679	23
15	7835	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	315	13
8	597	13
9	1167	13
10	2099	13
11	3834	13
12	4826	13
13	5183	13
14	5518	11
15	5777	11
16	5858	11
17	6069	11
18	6989	11
0	8045	11

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Compiler

Compiled 13 to 9 computations (30.8% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.3MiB live, 0.3MiB 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)

simplify208.0ms (4.6%)

Memory

45.8MiB live, 45.8MiB 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	315	52
8	597	52
9	1167	52
10	2099	52
11	3834	52
12	4826	52
13	5183	52
14	5518	48
15	5777	48
16	5858	48
17	6069	48
18	6989	48
0	8045	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)

localize25.0ms (0.6%)

Memory

10.0MiB live, 10.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))
accuracy	0	(*.f64 x x)
accuracy	0.00390625	(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
accuracy	0.00390625	(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))

Samples

18.0ms

256×

valid

Compiler

Compiled 106 to 20 computations (81.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-div: 3.0ms (25.1% of total)

ival-log: 3.0ms (25.1% of total)

ival-sqrt: 2.0ms (16.7% of total)

ival-add: 1.0ms (8.4% of total)

ival-mult: 1.0ms (8.4% of total)

ival-sub: 1.0ms (8.4% of total)

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

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

exact: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory

2.6MiB live, 2.6MiB allocated

Counts

6 → 47

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

Calls

3 calls:

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

Time

Variable

Point

Expression

2.0ms

inf

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

2.0ms

((+ (/ 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))) (* x x))

simplify132.0ms (2.9%)

Memory

40.0MiB live, 40.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	155	729
1	409	704
2	1098	684
3	3208	671
4	7995	671
0	8477	642

Stop Event

1×	iter limit
1×	node limit

Counts

47 → 47

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)))
(pow x 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 #s(literal -1/4 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3/32 binary64) (-.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))
(pow x 2)
(*.f64 x 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 (/.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))

rewrite115.0ms (2.5%)

Memory

42.4MiB live, 42.4MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	45
0	16	45
1	69	45
2	624	41
3	7596	41
0	8354	41

Stop Event

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

Counts

6 → 334

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)))
(*.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))))))
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(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))
(neg.f64 (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))
(sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))
(exp.f64 (.f64 (log1p.f64 (.f64 (neg.f64 x) x)) #s(literal 1/2 binary64)))
(*.f64 (neg.f64 x) (neg.f64 x))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) x))
(.f64 (.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
(.f64 #s(literal 1 binary64) (.f64 x x))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.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))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))

eval38.0ms (0.8%)

Memory: 31.5MiB live, 31.5MiB allocated
Compiler: Compiled 9 682 to 1 410 computations (85.4% saved)

prune9.0ms (0.2%)

Memory

15.0MiB live, 15.0MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	376	5	381
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	377	5	382

Accuracy

100.0%

Counts

382 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x))
▶	52.3%	(log.f64 (.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))))
▶	99.5%	(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)))
▶	99.2%	(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x)))
▶	0.0%	(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64))))

Compiler

Compiled 168 to 116 computations (31% saved)

simplify113.0ms (2.5%)

Memory

11.2MiB live, 11.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f64 (fma.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) x x))
cost-diff	0	(log.f64 (.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))))
cost-diff	128	(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x))
cost-diff	960	(.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)))
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))))
cost-diff	0	(sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))
cost-diff	0	(+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64))
cost-diff	0	(/.f64 (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x)
cost-diff	0	(log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	258
0	56	244
1	85	243
2	162	243
3	625	243
4	2210	231
5	3172	231
6	3719	231
7	4077	231
8	4406	231
9	4641	228
10	5004	228
11	6651	228
12	7443	228
13	7916	228
0	8008	225

Stop Event

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

Calls

Call 1

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

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

localize84.0ms (1.8%)

Memory

30.1MiB live, 30.1MiB allocated

Localize:

Found 18 expressions of interest:

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

Samples

61.0ms

256×

invalid

Compiler

Compiled 503 to 67 computations (86.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-div: 10.0ms (23% of total)

ival-log: 9.0ms (20.7% of total)

ival-mult: 8.0ms (18.4% of total)

ival-add: 6.0ms (13.8% of total)

ival-sqrt: 5.0ms (11.5% of total)

ival-neg: 3.0ms (6.9% of total)

ival-sub: 1.0ms (2.3% of total)

exact: 1.0ms (2.3% of total)

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

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

series10.0ms (0.2%)

Memory

4.1MiB live, 4.1MiB allocated

Counts

20 → 66

Calls

Call 1

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

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

Calls

3 calls:

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

Time

Variable

Point

Expression

3.0ms

inf

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

3.0ms

-inf

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

2.0ms

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

simplify151.0ms (3.3%)

Memory

43.7MiB live, 43.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	212	916
1	605	866
2	1739	834
3	5286	818
0	8353	774

Stop Event

1×	iter limit
1×	node limit

Counts

66 → 66

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

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

rewrite165.0ms (3.6%)

Memory

64.5MiB live, 64.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	217
0	56	203
1	208	189
2	1579	189
0	8776	174

Stop Event

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

Counts

20 → 992

Calls

Call 1

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

Outputs
(*.f64 #s(literal -1 binary64) (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 2 binary64)) (-.f64 (.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 x))) (.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (neg.f64 (log.f64 x))))))
(/.f64 (+.f64 (pow.f64 (log.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64)))) #s(literal 3 binary64)) (pow.f64 (log.f64 (neg.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 (neg.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x x))) #s(literal 2 binary64)) (*.f64 (log.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64)))) (log.f64 (neg.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x x)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (neg.f64 (+.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (neg.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x x))) #s(literal 2 binary64)) (pow.f64 (log.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)))) (neg.f64 (log.f64 (/.f64 (neg.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x x)) (neg.f64 (pow.f64 x #s(literal -2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 2 binary64)) (fma.f64 (log.f64 x) (log.f64 x) (*.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (log.f64 x))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 (neg.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x x))) #s(literal 3 binary64)) (pow.f64 (log.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log.f64 (neg.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x x))) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)) (*.f64 (log.f64 (neg.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x x))) (log.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64)))))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (+.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (neg.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x x))) #s(literal 2 binary64)) (pow.f64 (log.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64))) (log.f64 (/.f64 (neg.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x x)) (neg.f64 (pow.f64 x #s(literal -2 binary64))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 2 binary64)) (fma.f64 (log.f64 x) (log.f64 x) (*.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (log.f64 x)))))
(/.f64 (+.f64 (pow.f64 (log.f64 (neg.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x x))) #s(literal 3 binary64)) (pow.f64 (log.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (neg.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x x))) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)) (*.f64 (log.f64 (neg.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x x))) (log.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))))))))
(neg.f64 (log.f64 (/.f64 (/.f64 x (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64))))
(neg.f64 (log.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (*.f64 x x)))))
(neg.f64 (log.f64 (/.f64 (+.f64 (/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) (pow.f64 x #s(literal -2 binary64))) (fma.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal -3 binary64)) (pow.f64 x #s(literal -3 binary64))))))
(neg.f64 (log.f64 (/.f64 (*.f64 x x) (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x x))))
(neg.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(fma.f64 (log.f64 (*.f64 (neg.f64 x) x)) #s(literal -1 binary64) (log.f64 (neg.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x x))))
(fma.f64 (log.f64 x) #s(literal -1 binary64) (log.f64 (/.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x x) x)))
(fma.f64 (log.f64 x) #s(literal -1 binary64) (log1p.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(fma.f64 #s(literal -1 binary64) (log.f64 (*.f64 (neg.f64 x) x)) (log.f64 (neg.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x x))))
(fma.f64 #s(literal -1 binary64) (log.f64 (neg.f64 x)) (log.f64 (/.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x x) (neg.f64 x))))
(fma.f64 #s(literal -1 binary64) (log.f64 x) (log.f64 (/.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x x) x)))
(fma.f64 #s(literal -1 binary64) (log.f64 x) (log1p.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 2 binary64)) (+.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (+.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(-.f64 (/.f64 (pow.f64 (log.f64 (neg.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x x))) #s(literal 2 binary64)) (log.f64 (/.f64 (neg.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x x)) (neg.f64 (pow.f64 x #s(literal -2 binary64)))))) (/.f64 (pow.f64 (log.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)) (log.f64 (/.f64 (neg.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x x)) (neg.f64 (pow.f64 x #s(literal -2 binary64)))))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 2 binary64)) (fma.f64 (log.f64 x) (log.f64 x) (.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (log.f64 x))))) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 2 binary64)) (fma.f64 (log.f64 x) (log.f64 x) (.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (log.f64 x))))))
(-.f64 (log.f64 (/.f64 (neg.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))) #s(literal -1 binary64))) (log.f64 x))
(-.f64 (log.f64 (.f64 (expm1.f64 (log1p.f64 (.f64 x x))) (pow.f64 x #s(literal -1 binary64)))) (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))))
(-.f64 (log.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))) (log.f64 (-.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(-.f64 (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x x)))) (log.f64 x))
(-.f64 (log.f64 (.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x x)))) (.f64 (log.f64 x) #s(literal 2 binary64)))
(-.f64 (log.f64 (*.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))) (log.f64 (neg.f64 x)))
(-.f64 (log.f64 (*.f64 (neg.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x x)) (/.f64 #s(literal -1 binary64) x))) (log.f64 x))
(-.f64 (log.f64 (.f64 (neg.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x x)) #s(literal -1 binary64))) (.f64 (log.f64 x) #s(literal 2 binary64)))
(-.f64 (log.f64 (/.f64 (expm1.f64 (log1p.f64 (.f64 x x))) (.f64 x x))) (log.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)) x)))
(-.f64 (log.f64 (neg.f64 (neg.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))))) (log.f64 (neg.f64 (neg.f64 x))))
(-.f64 (log.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (*.f64 x x)))) (log.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x))))
(-.f64 (log.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal -3 binary64)) (pow.f64 x #s(literal -3 binary64))))) (log.f64 (neg.f64 (+.f64 (/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) (pow.f64 x #s(literal -2 binary64))))))
(-.f64 (log.f64 (neg.f64 (neg.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x x)))) (*.f64 (log.f64 x) #s(literal 2 binary64)))
(-.f64 (log.f64 (.f64 (expm1.f64 (log1p.f64 (.f64 x x))) #s(literal -1 binary64))) (log.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)) (neg.f64 x))))
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(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x x) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x x))))) (/.f64 (pow.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x x) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x x) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x x))))))
(-.f64 (/.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) (neg.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x (neg.f64 x)))) (/.f64 (*.f64 x x) (neg.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x (neg.f64 x)))))
(-.f64 (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x #s(literal 0 binary64)) x)
(-.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) x)
(-.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x x))
(-.f64 (neg.f64 x) (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
(+.f64 (.f64 (.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) #s(literal -1 binary64)) (neg.f64 x))
(+.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) (neg.f64 x))
(+.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x x)))
(+.f64 (neg.f64 x) (.f64 (.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) #s(literal -1 binary64)))
(+.f64 (neg.f64 x) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x))
(*.f64 #s(literal -1 binary64) x)
(*.f64 x #s(literal -1 binary64))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 x x) (.f64 #s(literal 0 binary64) (neg.f64 x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))
(/.f64 (neg.f64 (neg.f64 x)) #s(literal -1 binary64))
(/.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(literal 0 binary64) x))
(/.f64 (*.f64 x x) (neg.f64 (+.f64 #s(literal 0 binary64) x)))
(/.f64 (neg.f64 x) #s(literal 1 binary64))
(neg.f64 x)
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 x x (.f64 #s(literal 0 binary64) x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 x x (.f64 #s(literal 0 binary64) x)))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 0 binary64) x)))
(-.f64 #s(literal 0 binary64) x)
(+.f64 #s(literal 0 binary64) (neg.f64 x))
(*.f64 (neg.f64 (neg.f64 x)) x)
(.f64 (.f64 x x) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) x))
(.f64 #s(literal 1 binary64) (.f64 x x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x (neg.f64 (neg.f64 x)))
(*.f64 x x)
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 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))
(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)))

eval107.0ms (2.4%)

Memory: 68.4MiB live, 68.4MiB allocated
Compiler: Compiled 18 792 to 3 061 computations (83.7% saved)

prune21.0ms (0.5%)

Memory

28.7MiB live, 28.7MiB allocated

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	784	2	786
Fresh	0	0	0
Picked	2	3	5
Done	0	0	0
Total	786	5	791

Accuracy

100.0%

Counts

791 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x))
▶	51.5%	(log.f64 (.f64 #s(approx (neg (+ ( (sqrt (+ (* (neg x) x) 1)) x) x)) (.f64 #s(literal -2 binary64) x)) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) x))))
✓	99.5%	(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)))
✓	99.2%	(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x)))
▶	0.0%	(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* (* x x) -1/2) 2) x) (*.f64 #s(literal -1/2 binary64) x))))

Compiler

Compiled 101 to 71 computations (29.7% saved)

simplify132.0ms (2.9%)

Memory

25.9MiB live, 25.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (neg (+ (* (sqrt (+ (* (neg x) x) 1)) x) x)) (*.f64 #s(literal -2 binary64) x))
cost-diff	0	(log.f64 (.f64 #s(approx (neg (+ ( (sqrt (+ (* (neg x) x) 1)) x) x)) (.f64 #s(literal -2 binary64) x)) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) x))))
cost-diff	128	(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x))
cost-diff	192	(.f64 #s(approx (neg (+ ( (sqrt (+ (* (neg x) x) 1)) x) x)) (.f64 #s(literal -2 binary64) x)) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) 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: 0 (0.0ms)

Iter	Nodes	Cost
0	32	152
0	40	149
1	70	144
2	124	141
3	255	141
4	420	141
5	628	141
6	925	141
7	1547	137
8	1972	137
9	2823	131
10	4811	131
11	7522	131
0	8062	128

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

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

localize65.0ms (1.4%)

Memory

23.1MiB live, 23.1MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(log.f64 (.f64 #s(approx (neg (+ ( (sqrt (+ (* (neg x) x) 1)) x) x)) (.f64 #s(literal -2 binary64) x)) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) x))))
accuracy	0.12890625	(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x))
accuracy	0.6020945881636932	#s(approx (neg (+ (* (sqrt (+ (* (neg x) x) 1)) x) x)) (*.f64 #s(literal -2 binary64) x))
accuracy	29.50092874834147	(.f64 #s(approx (neg (+ ( (sqrt (+ (* (neg x) x) 1)) x) x)) (.f64 #s(literal -2 binary64) x)) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) x)))
accuracy	0	(*.f64 #s(literal -1/2 binary64) x)
accuracy	0.00390625	(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	0.3164928453237563	#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	62.99850882329004	#s(approx (/ (+ (* (* x x) -1/2) 2) x) (*.f64 #s(literal -1/2 binary64) x))

Samples

49.0ms

256×

valid

Compiler

Compiled 262 to 63 computations (76% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-mult: 11.0ms (29.1% of total)

ival-div: 7.0ms (18.5% of total)

ival-log: 6.0ms (15.9% of total)

ival-add: 5.0ms (13.2% of total)

ival-sqrt: 4.0ms (10.6% of total)

ival-neg: 2.0ms (5.3% of total)

ival-sub: 1.0ms (2.6% of total)

exact: 1.0ms (2.6% of total)

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

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

series5.0ms (0.1%)

Memory

2.5MiB live, 2.5MiB allocated

Counts

8 → 40

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

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

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

1.0ms

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

simplify138.0ms (3.1%)

Memory

39.9MiB live, 39.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	176	555
1	477	528
2	1349	516
3	3939	500
0	8024	478

Stop Event

1×	iter limit
1×	node limit

Counts

40 → 40

Calls

Call 1

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

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

rewrite117.0ms (2.6%)

Memory

38.5MiB live, 38.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	138
0	40	131
1	166	129
2	1268	122
0	8908	111

Stop Event

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

Counts

8 → 99

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

eval16.0ms (0.4%)

Memory: 10.6MiB live, 10.6MiB allocated
Compiler: Compiled 4 033 to 496 computations (87.7% saved)

prune7.0ms (0.1%)

Memory

6.4MiB live, 6.4MiB allocated

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	135	2	137
Fresh	0	0	0
Picked	1	1	2
Done	1	2	3
Total	137	5	142

Accuracy

100.0%

Counts

142 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.3%	(neg.f64 (log.f64 (/.f64 (.f64 (neg.f64 x) x) #s(approx (neg (+ ( (sqrt (+ (* (neg x) x) 1)) x) x)) (*.f64 #s(literal -2 binary64) x)))))
✓	100.0%	(log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x))
✓	99.2%	(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x)))
✓	0.0%	(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* (* x x) -1/2) 2) x) (*.f64 #s(literal -1/2 binary64) x))))
▶	99.5%	(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* (* x x) -1/2) 2) x) (neg.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal -2 binary64) x))))))

Compiler

Compiled 109 to 76 computations (30.3% saved)

simplify119.0ms (2.6%)

Memory

22.5MiB live, 22.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (neg.f64 x) x)
cost-diff	0	(/.f64 (.f64 (neg.f64 x) x) #s(approx (neg (+ ( (sqrt (+ (* (neg x) x) 1)) x) x)) (*.f64 #s(literal -2 binary64) x)))
cost-diff	0	(log.f64 (/.f64 (.f64 (neg.f64 x) x) #s(approx (neg (+ ( (sqrt (+ (* (neg x) x) 1)) x) x)) (*.f64 #s(literal -2 binary64) x))))
cost-diff	0	(neg.f64 (log.f64 (/.f64 (.f64 (neg.f64 x) x) #s(approx (neg (+ ( (sqrt (+ (* (neg x) x) 1)) x) x)) (*.f64 #s(literal -2 binary64) x)))))
cost-diff	0	#s(approx (/ (+ (* (* x x) -1/2) 2) x) (neg.f64 (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) (neg.f64 (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) (neg.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal -2 binary64) x))))))
cost-diff	128	(neg.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal -2 binary64) x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	190
0	46	186
1	81	186
2	145	182
3	268	182
4	412	182
5	605	182
6	998	176
7	2077	172
8	3081	172
9	4263	172
10	6814	172
0	8146	165

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

localize73.0ms (1.6%)

Memory

25.9MiB live, 25.9MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0	(neg.f64 x)
accuracy	0.00390625	(log.f64 (/.f64 (.f64 (neg.f64 x) x) #s(approx (neg (+ ( (sqrt (+ (* (neg x) x) 1)) x) x)) (*.f64 #s(literal -2 binary64) x))))
accuracy	0.6020945881636932	#s(approx (neg (+ (* (sqrt (+ (* (neg x) x) 1)) x) x)) (*.f64 #s(literal -2 binary64) x))
accuracy	27.937251610751197	(/.f64 (.f64 (neg.f64 x) x) #s(approx (neg (+ ( (sqrt (+ (* (neg x) x) 1)) x) x)) (*.f64 #s(literal -2 binary64) x)))
accuracy	0	(neg.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal -2 binary64) x)))
accuracy	0	#s(approx (/ (+ (* (* x x) -1/2) 2) x) (neg.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal -2 binary64) x))))
accuracy	0.00390625	(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* (* x x) -1/2) 2) x) (neg.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal -2 binary64) x))))))
accuracy	0.3164928453237563	#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* (* x x) -1/2) 2) x) (neg.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal -2 binary64) x)))))

Samples

55.0ms

256×

valid

Compiler

Compiled 324 to 68 computations (79% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-mult: 10.0ms (24% of total)

ival-div: 9.0ms (21.6% of total)

ival-add: 6.0ms (14.4% of total)

ival-log: 6.0ms (14.4% of total)

ival-sqrt: 4.0ms (9.6% of total)

ival-neg: 4.0ms (9.6% of total)

ival-sub: 1.0ms (2.4% of total)

exact: 1.0ms (2.4% of total)

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

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

series10.0ms (0.2%)

Memory

4.1MiB live, 4.1MiB allocated

Counts

10 → 77

Calls

Call 1

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

Outputs
(/ 2 x)
(/ (+ 2 (* -1/2 (pow x 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))))
(/ (+ 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 (+ (log 1/2) (log x)))
(- (* -1/4 (pow x 2)) (+ (log 1/2) (log x)))
(- (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4)) (+ (log 1/2) (log x)))
(- (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4)) (+ (log 1/2) (log x)))
(+ (log 1/2) (log x))
(+ (log 1/2) (+ (log x) (* 1/4 (pow x 2))))
(+ (log 1/2) (+ (log x) (* (pow x 2) (+ 1/4 (* 3/32 (pow x 2))))))
(+ (log 1/2) (+ (log x) (* (pow x 2) (+ 1/4 (* (pow x 2) (+ 3/32 (* 5/96 (pow x 2))))))))
(* 1/2 x)
(* x (+ 1/2 (* 1/8 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/8 (* 1/16 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 1/16 (* 5/128 (pow x 2))))))))
(* -1 (pow x 2))
(* -2 x)
(* x (- (* 1/2 (pow x 2)) 2))
(* x (- (* (pow x 2) (+ 1/2 (* 1/8 (pow x 2)))) 2))
(* x (- (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/8 (* 1/16 (pow x 2)))))) 2))
(* -1 x)
(* -1/2 x)
(* x (- (* 2 (/ 1 (pow x 2))) 1/2))
(log (sqrt -1))
(+ (log (sqrt -1)) (/ 1 (* x (sqrt -1))))
(- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3))))
(- (+ (log (sqrt -1)) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))))
(sqrt -1)
(+ (sqrt -1) (/ 1 x))
(+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x)))
(- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))
(* -1 (log (/ 1 (sqrt -1))))
(- (/ 1 (* x (sqrt -1))) (log (/ 1 (sqrt -1))))
(- (/ 1 (* x (sqrt -1))) (+ (log (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3)))))
(- (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5))))) (+ (log (/ 1 (sqrt -1))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))))
(log (/ 1 (sqrt -1)))
(- (log (/ 1 (sqrt -1))) (/ 1 (* x (sqrt -1))))
(- (+ (log (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3)))) (/ 1 (* x (sqrt -1))))
(- (+ (log (/ 1 (sqrt -1))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5))))))
(/ 1 (sqrt -1))
(- (/ 1 (sqrt -1)) (/ 1 (* x (pow (sqrt -1) 2))))
(- (+ (/ 1/2 (* (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1))) (/ 1 (* x (pow (sqrt -1) 2))))
(- (+ (/ 1 (sqrt -1)) (* 1/2 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) (+ (/ 1 (* x (pow (sqrt -1) 2))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 5))))))
(* -1 (* (pow x 2) (sqrt -1)))
(* -1 (* (pow x 2) (+ (sqrt -1) (/ 1 x))))
(* (pow x 2) (- (* -1 (/ (+ 1 (* 1/2 (/ 1 (* x (sqrt -1))))) x)) (sqrt -1)))
(* (pow x 2) (- (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))) (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))))))
(* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2))))))
(log (* -1 (sqrt -1)))
(- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)))
(* -1 (sqrt -1))
(+ (* -1 (sqrt -1)) (/ 1 x))
(+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x)))
(+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x)))
(* -1 (log (/ -1 (sqrt -1))))
(* -1 (+ (log (/ -1 (sqrt -1))) (/ 1 (* x (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)) (log (/ -1 (sqrt -1))))
(log (/ -1 (sqrt -1)))
(+ (log (/ -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))
(+ (log (/ -1 (sqrt -1))) (* -1 (/ (- (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (/ 1 (sqrt -1))) x)))
(+ (log (/ -1 (sqrt -1))) (* -1 (/ (- (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3))) (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1)))) x)))
(/ -1 (sqrt -1))
(* -1 (+ (/ 1 (sqrt -1)) (/ 1 (* x (pow (sqrt -1) 2)))))
(- (* -1 (/ (+ (* 1/2 (/ 1 (* x (pow (sqrt -1) 3)))) (/ 1 (pow (sqrt -1) 2))) x)) (/ 1 (sqrt -1)))
(- (* -1 (/ (+ (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 5)))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))) x)) (/ 1 (pow (sqrt -1) 2))) x)) (/ 1 (sqrt -1)))
(* (pow x 2) (sqrt -1))
(* -1 (* (pow x 2) (+ (* -1 (sqrt -1)) (/ 1 x))))
(* (pow x 2) (- (* -1 (/ (- 1 (* 1/2 (/ 1 (* x (sqrt -1))))) x)) (* -1 (sqrt -1))))
(* (pow x 2) (- (* -1 (/ (+ 1 (* -1 (/ (- (* 1/2 (/ 1 (sqrt -1))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x))) x)) (* -1 (sqrt -1))))

Calls

3 calls:

Time

Variable

Point

Expression

4.0ms

inf

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

3.0ms

-inf

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

2.0ms

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

simplify123.0ms (2.7%)

Memory

34.2MiB live, 34.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	270	1153
1	783	1067
2	2175	1044
3	5984	1035
0	8193	1001

Stop Event

1×	iter limit
1×	node limit

Counts

77 → 77

Calls

Call 1

Inputs
(/ 2 x)
(/ (+ 2 (* -1/2 (pow x 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))))
(/ (+ 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 (+ (log 1/2) (log x)))
(- (* -1/4 (pow x 2)) (+ (log 1/2) (log x)))
(- (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4)) (+ (log 1/2) (log x)))
(- (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4)) (+ (log 1/2) (log x)))
(+ (log 1/2) (log x))
(+ (log 1/2) (+ (log x) (* 1/4 (pow x 2))))
(+ (log 1/2) (+ (log x) (* (pow x 2) (+ 1/4 (* 3/32 (pow x 2))))))
(+ (log 1/2) (+ (log x) (* (pow x 2) (+ 1/4 (* (pow x 2) (+ 3/32 (* 5/96 (pow x 2))))))))
(* 1/2 x)
(* x (+ 1/2 (* 1/8 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/8 (* 1/16 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 1/16 (* 5/128 (pow x 2))))))))
(* -1 (pow x 2))
(* -2 x)
(* x (- (* 1/2 (pow x 2)) 2))
(* x (- (* (pow x 2) (+ 1/2 (* 1/8 (pow x 2)))) 2))
(* x (- (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/8 (* 1/16 (pow x 2)))))) 2))
(* -1 x)
(* -1/2 x)
(* x (- (* 2 (/ 1 (pow x 2))) 1/2))
(log (sqrt -1))
(+ (log (sqrt -1)) (/ 1 (* x (sqrt -1))))
(- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3))))
(- (+ (log (sqrt -1)) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))))
(sqrt -1)
(+ (sqrt -1) (/ 1 x))
(+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x)))
(- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))
(* -1 (log (/ 1 (sqrt -1))))
(- (/ 1 (* x (sqrt -1))) (log (/ 1 (sqrt -1))))
(- (/ 1 (* x (sqrt -1))) (+ (log (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3)))))
(- (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5))))) (+ (log (/ 1 (sqrt -1))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))))
(log (/ 1 (sqrt -1)))
(- (log (/ 1 (sqrt -1))) (/ 1 (* x (sqrt -1))))
(- (+ (log (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3)))) (/ 1 (* x (sqrt -1))))
(- (+ (log (/ 1 (sqrt -1))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5))))))
(/ 1 (sqrt -1))
(- (/ 1 (sqrt -1)) (/ 1 (* x (pow (sqrt -1) 2))))
(- (+ (/ 1/2 (* (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1))) (/ 1 (* x (pow (sqrt -1) 2))))
(- (+ (/ 1 (sqrt -1)) (* 1/2 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) (+ (/ 1 (* x (pow (sqrt -1) 2))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 5))))))
(* -1 (* (pow x 2) (sqrt -1)))
(* -1 (* (pow x 2) (+ (sqrt -1) (/ 1 x))))
(* (pow x 2) (- (* -1 (/ (+ 1 (* 1/2 (/ 1 (* x (sqrt -1))))) x)) (sqrt -1)))
(* (pow x 2) (- (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))) (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))))))
(* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2))))))
(log (* -1 (sqrt -1)))
(- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)))
(* -1 (sqrt -1))
(+ (* -1 (sqrt -1)) (/ 1 x))
(+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x)))
(+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x)))
(* -1 (log (/ -1 (sqrt -1))))
(* -1 (+ (log (/ -1 (sqrt -1))) (/ 1 (* x (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)) (log (/ -1 (sqrt -1))))
(log (/ -1 (sqrt -1)))
(+ (log (/ -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))
(+ (log (/ -1 (sqrt -1))) (* -1 (/ (- (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (/ 1 (sqrt -1))) x)))
(+ (log (/ -1 (sqrt -1))) (* -1 (/ (- (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3))) (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1)))) x)))
(/ -1 (sqrt -1))
(* -1 (+ (/ 1 (sqrt -1)) (/ 1 (* x (pow (sqrt -1) 2)))))
(- (* -1 (/ (+ (* 1/2 (/ 1 (* x (pow (sqrt -1) 3)))) (/ 1 (pow (sqrt -1) 2))) x)) (/ 1 (sqrt -1)))
(- (* -1 (/ (+ (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 5)))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))) x)) (/ 1 (pow (sqrt -1) 2))) x)) (/ 1 (sqrt -1)))
(* (pow x 2) (sqrt -1))
(* -1 (* (pow x 2) (+ (* -1 (sqrt -1)) (/ 1 x))))
(* (pow x 2) (- (* -1 (/ (- 1 (* 1/2 (/ 1 (* x (sqrt -1))))) x)) (* -1 (sqrt -1))))
(* (pow x 2) (- (* -1 (/ (+ 1 (* -1 (/ (- (* 1/2 (/ 1 (sqrt -1))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x))) x)) (* -1 (sqrt -1))))

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)
(+ (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 (* (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 (+ (log 1/2) (log x)))
(-.f64 (neg.f64 (log.f64 x)) (log.f64 #s(literal 1/2 binary64)))
(- (* -1/4 (pow x 2)) (+ (log 1/2) (log x)))
(-.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) x) x (neg.f64 (log.f64 x))) (log.f64 #s(literal 1/2 binary64)))
(- (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4)) (+ (log 1/2) (log x)))
(fma.f64 (.f64 (fma.f64 #s(literal -3/32 binary64) (.f64 x x) #s(literal -1/4 binary64)) x) x (-.f64 (neg.f64 (log.f64 x)) (log.f64 #s(literal 1/2 binary64))))
(- (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4)) (+ (log 1/2) (log x)))
(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 (neg.f64 (log.f64 x)) (log.f64 #s(literal 1/2 binary64))))
(+ (log 1/2) (log x))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 x))
(+ (log 1/2) (+ (log x) (* 1/4 (pow x 2))))
(fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 x)))
(+ (log 1/2) (+ (log x) (* (pow x 2) (+ 1/4 (* 3/32 (pow x 2))))))
(fma.f64 (.f64 (fma.f64 #s(literal 3/32 binary64) (.f64 x x) #s(literal 1/4 binary64)) x) x (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 x)))
(+ (log 1/2) (+ (log x) (* (pow x 2) (+ 1/4 (* (pow x 2) (+ 3/32 (* 5/96 (pow x 2))))))))
(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 1/2 binary64)) (log.f64 x)))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 1/8 (pow x 2))))
(.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 x x) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* (pow x 2) (+ 1/8 (* 1/16 (pow x 2))))))
(.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)) x)
(* x (+ 1/2 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 1/16 (* 5/128 (pow x 2))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5/128 binary64) (.f64 x x) #s(literal 1/16 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* x (- (* 1/2 (pow x 2)) 2))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) x #s(literal -2 binary64)) x)
(* x (- (* (pow x 2) (+ 1/2 (* 1/8 (pow x 2)))) 2))
(.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal -2 binary64)) x)
(* x (- (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/8 (* 1/16 (pow x 2)))))) 2))
(.f64 (fma.f64 (.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)) x) x #s(literal -2 binary64)) x)
(* -1 x)
(neg.f64 x)
(* -1/2 x)
(*.f64 #s(literal -1/2 binary64) x)
(* x (- (* 2 (/ 1 (pow x 2))) 1/2))
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 1/2 binary64)) x)
(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 #s(literal -1 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) x))) (/.f64 #s(literal 1/6 binary64) (pow.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal 3 binary64))))
(- (+ (log (sqrt -1)) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))))
(-.f64 (-.f64 (/.f64 (/.f64 #s(literal 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 1/6 binary64) (pow.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal 3 binary64)))) (-.f64 (/.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)))
(-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))) x))
(- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))
(-.f64 (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))) x)) (/.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (log (/ 1 (sqrt -1))))
(log.f64 (sqrt.f64 #s(literal -1 binary64)))
(- (/ 1 (* x (sqrt -1))) (log (/ 1 (sqrt -1))))
(-.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)))
(- (/ 1 (* x (sqrt -1))) (+ (log (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3)))))
(-.f64 (-.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) x))) (/.f64 #s(literal 1/6 binary64) (pow.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal 3 binary64))))
(- (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5))))) (+ (log (/ 1 (sqrt -1))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))))
(-.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 1/6 binary64) (pow.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal 3 binary64)))) (-.f64 (/.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (log.f64 (sqrt.f64 #s(literal -1 binary64)))))
(log (/ 1 (sqrt -1)))
(neg.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))))
(- (log (/ 1 (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 (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3)))) (/ 1 (* x (sqrt -1))))
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) x))) x) (log.f64 (sqrt.f64 #s(literal -1 binary64))))
(- (+ (log (/ 1 (sqrt -1))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5))))))
(-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 3/40 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (pow.f64 x #s(literal 5 binary64)))) (-.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) x))))
(/ 1 (sqrt -1))
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))
(- (/ 1 (sqrt -1)) (/ 1 (* x (pow (sqrt -1) 2))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) x))
(- (+ (/ 1/2 (* (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1))) (/ 1 (* x (pow (sqrt -1) 2))))
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))
(- (+ (/ 1 (sqrt -1)) (* 1/2 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) (+ (/ 1 (* x (pow (sqrt -1) 2))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 5))))))
(-.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (pow.f64 x #s(literal 4 binary64))))
(* -1 (* (pow x 2) (sqrt -1)))
(.f64 (.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) x) x)
(* -1 (* (pow x 2) (+ (sqrt -1) (/ 1 x))))
(*.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) x #s(literal 1 binary64)) (neg.f64 x))
(* (pow x 2) (- (* -1 (/ (+ 1 (* 1/2 (/ 1 (* x (sqrt -1))))) x)) (sqrt -1)))
(.f64 (-.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))) (*.f64 x x))
(* (pow x 2) (- (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))) (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))))))
(.f64 (-.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 #s(literal -1 binary64))) (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) x))) x))) (*.f64 x x))
(* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2))))))
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 1/2 binary64)) x)
(log (* -1 (sqrt -1)))
(log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))
(-.f64 (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)))
(-.f64 (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) x))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)))
(-.f64 (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (-.f64 (-.f64 (/.f64 (/.f64 #s(literal 3/40 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal -1/6 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) x))) x))
(* -1 (sqrt -1))
(neg.f64 (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1 (sqrt -1)) (/ 1 x))
(-.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x)))
(-.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 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal 3 binary64))) (-.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 (log (/ -1 (sqrt -1))))
(log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(* -1 (+ (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)))
(- (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)) (log (/ -1 (sqrt -1))))
(-.f64 (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) x))
(- (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)) (log (/ -1 (sqrt -1))))
(-.f64 (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (-.f64 (-.f64 (/.f64 (/.f64 #s(literal 3/40 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal -1/6 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) x))) x))
(log (/ -1 (sqrt -1)))
(log.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))
(+ (log (/ -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))
(-.f64 (/.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 (/ (- (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (/ 1 (sqrt -1))) x)))
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) x) (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))
(+ (log (/ -1 (sqrt -1))) (* -1 (/ (- (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3))) (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1)))) x)))
(-.f64 (/.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) (pow.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal 3 binary64))) (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))))))
(/ -1 (sqrt -1))
(/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))
(* -1 (+ (/ 1 (sqrt -1)) (/ 1 (* x (pow (sqrt -1) 2)))))
(-.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) x))
(- (* -1 (/ (+ (* 1/2 (/ 1 (* x (pow (sqrt -1) 3)))) (/ 1 (pow (sqrt -1) 2))) x)) (/ 1 (sqrt -1)))
(-.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))) x))
(- (* -1 (/ (+ (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 5)))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))) x)) (/ 1 (pow (sqrt -1) 2))) x)) (/ 1 (sqrt -1)))
(-.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) x) x) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) x)) x))
(* (pow x 2) (sqrt -1))
(.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) x)
(* -1 (* (pow x 2) (+ (* -1 (sqrt -1)) (/ 1 x))))
(fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) x (neg.f64 x))
(* (pow x 2) (- (* -1 (/ (- 1 (* 1/2 (/ 1 (* x (sqrt -1))))) x)) (* -1 (sqrt -1))))
(.f64 (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) x))) x)) (*.f64 x x))
(* (pow x 2) (- (* -1 (/ (+ 1 (* -1 (/ (- (* 1/2 (/ 1 (sqrt -1))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x))) x)) (* -1 (sqrt -1))))
(.f64 (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal 3 binary64))) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) x)) #s(literal 1 binary64))) x)) (.f64 x x))

rewrite147.0ms (3.2%)

Memory

50.2MiB live, 50.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	173
0	46	169
1	195	168
2	1558	168
0	8556	151

Stop Event

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

Counts

10 → 218

Calls

Call 1

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

Outputs
(*.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal -2 binary64) x)))
(*.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal -2 binary64) x)) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 #s(literal 8 binary64) (pow.f64 x #s(literal -3 binary64))) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 4 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (-.f64 (pow.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 2 binary64)) (*.f64 (/.f64 x x) #s(literal -1 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 #s(literal -2 binary64) x) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)) (.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)) (-.f64 (.f64 (.f64 (/.f64 #s(literal -2 binary64) x) #s(literal -1 binary64)) (.f64 (/.f64 #s(literal -2 binary64) x) #s(literal -1 binary64))) (.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)) (.f64 (/.f64 #s(literal -2 binary64) x) #s(literal -1 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 (/.f64 #s(literal -2 binary64) x) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (/.f64 #s(literal -2 binary64) x) #s(literal -1 binary64)) (.f64 (/.f64 #s(literal -2 binary64) x) #s(literal -1 binary64)) (-.f64 (.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)) (.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))) (.f64 (.f64 (/.f64 #s(literal -2 binary64) x) #s(literal -1 binary64)) (.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal -3 binary64)) (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 4 binary64) (-.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 #s(literal 0 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (.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 #s(literal 0 binary64) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 2 binary64) x))))))
(/.f64 (neg.f64 (.f64 #s(literal -1 binary64) (-.f64 (.f64 #s(literal 1/4 binary64) (*.f64 x x)) (pow.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 2 binary64))))) (neg.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) x))))
(/.f64 (neg.f64 (.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (-.f64 (pow.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 2 binary64)) (*.f64 (/.f64 x x) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal -2 binary64) x)) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal -2 binary64) x)))))
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(.f64 (pow.f64 #s(approx (neg (+ ( (sqrt (+ (* (neg x) x) 1)) x) x)) (.f64 #s(literal -2 binary64) x)) #s(literal -1 binary64)) (.f64 (neg.f64 x) x))
(.f64 #s(literal -1 binary64) (/.f64 (.f64 x x) #s(approx (neg (+ (* (sqrt (+ (* (neg x) x) 1)) x) x)) (*.f64 #s(literal -2 binary64) x))))
(.f64 (.f64 (neg.f64 x) x) (pow.f64 #s(approx (neg (+ (* (sqrt (+ (* (neg x) x) 1)) x) x)) (*.f64 #s(literal -2 binary64) x)) #s(literal -1 binary64)))
(.f64 (neg.f64 x) (/.f64 x #s(approx (neg (+ ( (sqrt (+ (* (neg x) x) 1)) x) x)) (*.f64 #s(literal -2 binary64) x))))
(.f64 (.f64 x x) (pow.f64 (neg.f64 #s(approx (neg (+ (* (sqrt (+ (* (neg x) x) 1)) x) x)) (*.f64 #s(literal -2 binary64) x))) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 x) x) #s(approx (neg (+ (* (sqrt (+ (* (neg x) x) 1)) x) x)) (*.f64 #s(literal -2 binary64) x))))
(.f64 x (/.f64 (neg.f64 x) #s(approx (neg (+ ( (sqrt (+ (* (neg x) x) 1)) x) x)) (*.f64 #s(literal -2 binary64) x))))
(.f64 x (.f64 (neg.f64 x) (pow.f64 #s(approx (neg (+ (* (sqrt (+ (* (neg x) x) 1)) x) x)) (*.f64 #s(literal -2 binary64) x)) #s(literal -1 binary64))))
(pow.f64 (/.f64 (/.f64 #s(approx (neg (+ (* (sqrt (+ (* (neg x) x) 1)) x) x)) (.f64 #s(literal -2 binary64) x)) (.f64 (neg.f64 x) x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(approx (neg (+ (* (sqrt (+ (* (neg x) x) 1)) x) x)) (.f64 #s(literal -2 binary64) x)) (.f64 (neg.f64 x) x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 (neg.f64 x) x) #s(approx (neg (+ ( (sqrt (+ (* (neg x) x) 1)) x) x)) (*.f64 #s(literal -2 binary64) x))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(approx (neg (+ (* (sqrt (+ (* (neg x) x) 1)) x) x)) (.f64 #s(literal -2 binary64) x)) (.f64 (neg.f64 x) x)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(approx (neg (+ (* (sqrt (+ (* (neg x) x) 1)) x) x)) (.f64 #s(literal -2 binary64) x)) (.f64 (neg.f64 x) x))))
(/.f64 (.f64 (neg.f64 x) x) (neg.f64 (neg.f64 #s(approx (neg (+ ( (sqrt (+ (* (neg x) x) 1)) x) x)) (*.f64 #s(literal -2 binary64) x)))))
(/.f64 (.f64 (neg.f64 x) x) #s(approx (neg (+ ( (sqrt (+ (* (neg x) x) 1)) x) x)) (*.f64 #s(literal -2 binary64) x)))
(/.f64 (.f64 x x) (neg.f64 (neg.f64 (neg.f64 #s(approx (neg (+ ( (sqrt (+ (* (neg x) x) 1)) x) x)) (*.f64 #s(literal -2 binary64) x))))))
(/.f64 (.f64 x x) (neg.f64 #s(approx (neg (+ ( (sqrt (+ (* (neg x) x) 1)) x) x)) (*.f64 #s(literal -2 binary64) x))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(approx (neg (+ (* (sqrt (+ (* (neg x) x) 1)) x) x)) (.f64 #s(literal -2 binary64) x)) (.f64 (neg.f64 x) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (neg (+ (* (sqrt (+ (* (neg x) x) 1)) x) x)) (.f64 #s(literal -2 binary64) x)) (.f64 (neg.f64 x) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (neg (+ (* (sqrt (+ (* (neg x) x) 1)) x) x)) (.f64 #s(literal -2 binary64) x)) (.f64 (neg.f64 x) x)))
(neg.f64 (/.f64 (.f64 x x) #s(approx (neg (+ ( (sqrt (+ (* (neg x) x) 1)) x) x)) (*.f64 #s(literal -2 binary64) x))))
(neg.f64 (.f64 (.f64 x x) (pow.f64 #s(approx (neg (+ (* (sqrt (+ (* (neg x) x) 1)) x) x)) (*.f64 #s(literal -2 binary64) x)) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 #s(approx (neg (+ (* (sqrt (+ (* (neg x) x) 1)) x) x)) (.f64 #s(literal -2 binary64) x))))) (/.f64 (.f64 x x) #s(approx (neg (+ (* (sqrt (+ (* (neg x) x) 1)) x) x)) (*.f64 #s(literal -2 binary64) x))))
(-.f64 (/.f64 #s(literal 0 binary64) #s(approx (neg (+ (* (sqrt (+ (* (neg x) x) 1)) x) x)) (.f64 #s(literal -2 binary64) x))) (/.f64 (.f64 x x) #s(approx (neg (+ (* (sqrt (+ (* (neg x) x) 1)) x) x)) (*.f64 #s(literal -2 binary64) x))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 #s(approx (neg (+ (* (sqrt (+ (* (neg x) x) 1)) x) x)) (.f64 #s(literal -2 binary64) x)))) (/.f64 (.f64 x x) #s(approx (neg (+ (* (sqrt (+ (* (neg x) x) 1)) x) x)) (*.f64 #s(literal -2 binary64) x))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(approx (neg (+ ( (sqrt (+ (* (neg x) x) 1)) x) x)) (.f64 #s(literal -2 binary64) x)) (.f64 (neg.f64 x) x))) #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x x))
(.f64 (.f64 (neg.f64 x) x) #s(literal 1 binary64))
(*.f64 (neg.f64 x) x)
(.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) x))
(.f64 x (.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 x (neg.f64 x))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 0 binary64) (.f64 x x)))))
(neg.f64 (*.f64 x x))
(-.f64 #s(literal 0 binary64) (*.f64 x x))
#s(approx (neg (+ (* (sqrt (+ (* (neg x) x) 1)) x) x)) (*.f64 #s(literal -2 binary64) x))
(*.f64 #s(literal -1 binary64) x)
(*.f64 x #s(literal -1 binary64))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 x x) (.f64 #s(literal 0 binary64) (neg.f64 x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))
(/.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(literal 0 binary64) x))
(/.f64 (*.f64 x x) (neg.f64 (+.f64 #s(literal 0 binary64) x)))
(neg.f64 x)
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 x x (.f64 #s(literal 0 binary64) x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 x x (.f64 #s(literal 0 binary64) x)))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 0 binary64) x)))
(-.f64 #s(literal 0 binary64) x)
(+.f64 #s(literal 0 binary64) (neg.f64 x))

eval39.0ms (0.9%)

Memory: 25.0MiB live, 25.0MiB allocated
Compiler: Compiled 10 662 to 1 390 computations (87% saved)

prune12.0ms (0.3%)

Memory

12.9MiB live, 12.9MiB allocated

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	290	3	293
Fresh	0	0	0
Picked	2	0	2
Done	1	2	3
Total	293	5	298

Accuracy

100.0%

Counts

298 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.7%	(neg.f64 (log.f64 #s(approx (/ (* (neg x) x) (neg (+ (* (sqrt (+ (* (neg x) x) 1)) x) x))) (.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)) x))))
	99.2%	(neg.f64 (log.f64 #s(approx (/ (* (neg x) x) (neg (+ (* (sqrt (+ (* (neg x) x) 1)) x) x))) (*.f64 #s(literal 1/2 binary64) x))))
✓	100.0%	(log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x))
	99.5%	(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* (* x x) -1/2) 2) x) (fma.f64 x #s(literal -1/2 binary64) (/.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 412 to 170 computations (58.7% saved)

regimes16.0ms (0.4%)

Memory

7.6MiB live, 7.6MiB allocated

Counts

13 → 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))))
(neg.f64 (log.f64 #s(approx (/ (* (neg x) x) (neg (+ (* (sqrt (+ (* (neg x) x) 1)) x) 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 x #s(literal -1/2 binary64) (/.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) (neg.f64 (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)))
(neg.f64 (log.f64 (/.f64 (.f64 (neg.f64 x) x) #s(approx (neg (+ ( (sqrt (+ (* (neg x) x) 1)) x) x)) (*.f64 #s(literal -2 binary64) x)))))
(log.f64 (.f64 #s(approx (neg (+ ( (sqrt (+ (* (neg x) x) 1)) x) x)) (.f64 #s(literal -2 binary64) x)) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) x))))
(neg.f64 (log.f64 #s(approx (/ (* (neg x) x) (neg (+ (* (sqrt (+ (* (neg x) x) 1)) x) x))) (.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)) x))))
(log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x))
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
(log.f64 (.f64 (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))))

Outputs
(log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x))

Calls

3 calls:

5.0ms

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

5.0ms

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

5.0ms

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)

regimes14.0ms (0.3%)

Memory

6.9MiB live, 6.9MiB allocated

Counts

10 → 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))))
(neg.f64 (log.f64 #s(approx (/ (* (neg x) x) (neg (+ (* (sqrt (+ (* (neg x) x) 1)) x) 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 x #s(literal -1/2 binary64) (/.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) (neg.f64 (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)))
(neg.f64 (log.f64 (/.f64 (.f64 (neg.f64 x) x) #s(approx (neg (+ ( (sqrt (+ (* (neg x) x) 1)) x) x)) (*.f64 #s(literal -2 binary64) x)))))
(log.f64 (.f64 #s(approx (neg (+ ( (sqrt (+ (* (neg x) x) 1)) x) x)) (.f64 #s(literal -2 binary64) x)) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) x))))
(neg.f64 (log.f64 #s(approx (/ (* (neg x) x) (neg (+ (* (sqrt (+ (* (neg x) x) 1)) x) x))) (.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)) x))))

Outputs

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

Calls

3 calls:

4.0ms

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

4.0ms

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

4.0ms

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)

regimes13.0ms (0.3%)

Memory

6.6MiB live, 6.6MiB allocated

Counts

9 → 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))))
(neg.f64 (log.f64 #s(approx (/ (* (neg x) x) (neg (+ (* (sqrt (+ (* (neg x) x) 1)) x) 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 x #s(literal -1/2 binary64) (/.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) (neg.f64 (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)))
(neg.f64 (log.f64 (/.f64 (.f64 (neg.f64 x) x) #s(approx (neg (+ ( (sqrt (+ (* (neg x) x) 1)) x) x)) (*.f64 #s(literal -2 binary64) x)))))
(log.f64 (.f64 #s(approx (neg (+ ( (sqrt (+ (* (neg x) x) 1)) x) x)) (.f64 #s(literal -2 binary64) x)) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) x))))

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

Calls

3 calls:

4.0ms

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

4.0ms

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

4.0ms

Results

Accuracy	Segments	Branch
99.5%	1	`x`
99.5%	1	`(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))`
99.5%	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)

regimes9.0ms (0.2%)

Memory

5.3MiB live, 5.3MiB allocated

Counts

4 → 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))))
(neg.f64 (log.f64 #s(approx (/ (* (neg x) x) (neg (+ (* (sqrt (+ (* (neg x) x) 1)) x) 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
(neg.f64 (log.f64 #s(approx (/ (* (neg x) x) (neg (+ (* (sqrt (+ (* (neg x) x) 1)) x) x))) (*.f64 #s(literal 1/2 binary64) x))))

Calls

3 calls:

3.0ms

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

3.0ms

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

3.0ms

Results

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

4.6MiB live, 4.6MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 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))))

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:

2.0ms

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

2.0ms

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

2.0ms

Results

Accuracy	Segments	Branch
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)

simplify30.0ms (0.7%)

Memory

18.6MiB live, 18.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	124
1	64	124
2	70	124
3	73	124

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness1.0s (22.5%)

Memory

7.0MiB live, 7.0MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	270	1153
1	783	1067
2	2175	1044
3	5984	1035
0	8193	1001
0	35	173
0	46	169
1	195	168
2	1558	168
0	8556	151
0	176	555
1	477	528
2	1349	516
3	3939	500
0	8024	478
0	155	729
1	409	704
2	1098	684
3	3208	671
4	7995	671
0	8477	642
0	32	138
0	40	131
1	166	129
2	1268	122
0	8908	111
0	9	45
0	16	45
1	69	45
2	624	41
3	7596	41
0	8354	41
0	212	916
1	605	866
2	1739	834
3	5286	818
0	8353	774

Stop Event

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

Compiler

Compiled 370 to 202 computations (45.4% saved)

preprocess36.0ms (0.8%)

Memory: 18.7MiB live, 18.7MiB allocated
Compiler: Compiled 274 to 124 computations (54.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze3.0ms (0.1%)

sample746.0ms (16.5%)

explain145.0ms (3.2%)

preprocess301.0ms (6.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify208.0ms (4.6%)

localize25.0ms (0.6%)

series6.0ms (0.1%)

simplify132.0ms (2.9%)

rewrite115.0ms (2.5%)

eval38.0ms (0.8%)

prune9.0ms (0.2%)

simplify113.0ms (2.5%)

localize84.0ms (1.8%)

series10.0ms (0.2%)

simplify151.0ms (3.3%)

rewrite165.0ms (3.6%)

eval107.0ms (2.4%)

prune21.0ms (0.5%)

simplify132.0ms (2.9%)

localize65.0ms (1.4%)

series5.0ms (0.1%)

simplify138.0ms (3.1%)

rewrite117.0ms (2.6%)

eval16.0ms (0.4%)

prune7.0ms (0.1%)

simplify119.0ms (2.6%)

localize73.0ms (1.6%)

series10.0ms (0.2%)

simplify123.0ms (2.7%)

rewrite147.0ms (3.2%)

eval39.0ms (0.9%)

prune12.0ms (0.3%)

regimes16.0ms (0.4%)

regimes14.0ms (0.3%)

regimes13.0ms (0.3%)

regimes9.0ms (0.2%)

regimes6.0ms (0.1%)

simplify30.0ms (0.7%)

soundness1.0s (22.5%)

preprocess36.0ms (0.8%)

end0.0ms (0%)

Profiling