Metrics for Hyperbolic arc-cosine

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze60.0ms (1.3%)

Memory

-6.6MiB live, 19.5MiB 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%	100%	0%	0%	0%	0%	3
16.7%	12.5%	62.5%	0%	0%	25%	0%	4
30%	18.7%	43.7%	0%	0%	37.5%	0%	5
38.9%	21.9%	34.4%	0%	0%	43.7%	0%	6
44.1%	23.4%	29.7%	0%	0%	46.9%	0%	7
47%	24.2%	27.3%	0%	0%	48.4%	0%	8
48.5%	24.6%	26.2%	0%	0%	49.2%	0%	9
49.2%	24.8%	25.6%	0%	0%	49.6%	0%	10
49.6%	24.9%	25.3%	0%	0%	49.8%	0%	11
49.8%	24.9%	25.1%	0%	0%	49.9%	0%	12

Compiler

Compiled 11 to 9 computations (18.2% saved)

sample1.7s (35%)

Memory

32.0MiB live, 543.7MiB allocated

Samples

742.0ms	7 202×	1	invalid
437.0ms	8 256×	0	valid
53.0ms	1 127×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 882.0ms

ival-log: 193.0ms (21.9% of total)

ival-sqrt: 169.0ms (19.2% of total)

ival-mult: 147.0ms (16.7% of total)

adjust: 127.0ms (14.4% of total)

ival-sub: 114.0ms (12.9% of total)

ival-add: 108.0ms (12.3% of total)

ival-true: 11.0ms (1.2% of total)

exact: 9.0ms (1% of total)

ival-assert: 5.0ms (0.6% of total)

Bogosity

explain85.0ms (1.8%)

Memory

-4.2MiB live, 44.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
121	-	-	`(sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))`
1	-	-	`(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))`
0	-	-	`(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(*.f64 x x)`
0	-	-	`(-.f64 (*.f64 x x) #s(literal 1 binary64))`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))`	oflow-rescue	121	0
↳	`(-.f64 (*.f64 x x) #s(literal 1 binary64))`	overflow	121
↳	`(*.f64 x x)`	overflow	121
`log.f64`	`(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))`	oflow-rescue	1	0
↳	`(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))`	overflow	1
↳	`(-.f64 (*.f64 x x) #s(literal 1 binary64))`	overflow	121
↳	`(*.f64 x x)`	overflow	121

Confusion

	Predicted +	Predicted -
+	121	0
-	0	135

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	121	0	0
-	0	0	135

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	135
1	120
2	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Total Time

16.658203125

Average Time

0.06507110595703125

Samples

29.0ms

512×

valid

Compiler

Compiled 112 to 32 computations (71.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-log: 6.0ms (33.2% of total)

ival-mult: 3.0ms (16.6% of total)

ival-sqrt: 3.0ms (16.6% of total)

ival-sub: 2.0ms (11.1% of total)

ival-add: 2.0ms (11.1% of total)

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

exact: 0.0ms (0% of total)

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

preprocess390.0ms (8.2%)

Memory

-18.3MiB live, 56.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	27	19
2	59	19
3	130	19
4	295	19
5	579	19
6	1088	19
7	1677	19
8	3021	19
9	4118	19
10	5059	19
11	5487	19
12	5727	19
13	5799	19
14	5883	19
15	6475	19
16	7565	19
17	7621	19
18	7719	19
19	7753	19
20	7769	19
0	7	9
0	12	9
1	21	9
2	25	9
3	40	9
4	71	9
5	132	9
6	292	9
7	572	9
8	2045	9
9	3155	9
10	4433	9
11	5106	9
12	5408	9
13	5593	9
14	5695	9
15	6014	9
16	6560	9
17	7671	9
0	8091	8

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 9 to 7 computations (22.2% 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
▶	54.2%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify240.0ms (5.1%)

Memory

-2.4MiB live, 51.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	33
0	12	33
1	21	33
2	25	33
3	40	33
4	71	33
5	132	33
6	292	33
7	572	33
8	2045	33
9	3155	33
10	4433	33
11	5106	33
12	5408	33
13	5593	33
14	5695	33
15	6014	33
16	6560	33
17	7671	33
0	8091	29

Stop Event

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

Calls

Call 1

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

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

localize20.0ms (0.4%)

Memory

0.5MiB live, 8.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(-.f64 (*.f64 x x) #s(literal 1 binary64))
accuracy	0.00390625	(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))
accuracy	0.2460418496550278	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
accuracy	28.17091620779977	(sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))

Samples

14.0ms

256×

valid

Compiler

Compiled 68 to 16 computations (76.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-log: 3.0ms (34.4% of total)

ival-mult: 2.0ms (22.9% of total)

ival-sqrt: 2.0ms (22.9% of total)

ival-sub: 1.0ms (11.5% of total)

ival-add: 1.0ms (11.5% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Memory

1.8MiB live, 1.8MiB allocated

Counts

4 → 39

Calls

Call 1

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

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

Calls

3 calls:

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

Time

Variable

Point

Expression

1.0ms

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

1.0ms

-inf

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

1.0ms

inf

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

simplify122.0ms (2.6%)

Memory

6.1MiB live, 34.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	150	519
1	411	493
2	1146	486
3	3331	448
4	7980	448
0	8533	426

Stop Event

1×	iter limit
1×	node limit

Counts

39 → 38

Calls

Call 1

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

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

rewrite199.0ms (4.2%)

Memory

-8.3MiB live, 50.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	28
0	12	28
1	49	28
2	322	28
3	3626	28
0	8646	24

Stop Event

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

Counts

4 → 320

Calls

Call 1

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

Outputs
(.f64 (exp.f64 (log.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 (log1p.f64 (.f64 x x)))))
(*.f64 (exp.f64 (log.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 (log1p.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64)))))))
(*.f64 (exp.f64 (log1p.f64 x)) (exp.f64 (log.f64 (-.f64 x #s(literal 1 binary64)))))
(*.f64 (exp.f64 (log.f64 (-.f64 x #s(literal 1 binary64)))) (exp.f64 (log1p.f64 x)))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 x x)))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(.f64 (.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 3/4 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 3/4 binary64)))
(*.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fma.f64 x x (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (pow.f64 (neg.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (pow.f64 (neg.f64 (fma.f64 x x (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) #s(literal -1 binary64)))
(.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))
(*.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))
(*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64)))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 #s(literal -1 binary64) (*.f64 x x))) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (fma.f64 x x #s(literal -1 binary64))))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64))))
(pow.f64 (/.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 #s(literal -1 binary64) (.f64 x x))) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 2 binary64))
(pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 (exp.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))))) (exp.f64 (log.f64 (neg.f64 (fma.f64 x x #s(literal 1 binary64))))))
(/.f64 (exp.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))))) (exp.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log1p.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64)))))))
(/.f64 (exp.f64 (log.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (exp.f64 (log1p.f64 (*.f64 x x))))
(/.f64 (exp.f64 (log.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))) (exp.f64 (log.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 #s(literal -1 binary64) (.f64 x x))))))
(/.f64 (exp.f64 (log.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))) (exp.f64 (log1p.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))) (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 18 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 6 binary64))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (sqrt.f64 (fma.f64 x x (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))))
(/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (sqrt.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 x x (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64))) (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x x (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 (fma.f64 x x (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) #s(literal -2 binary64))) (+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x x (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (pow.f64 (fma.f64 x x (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -3 binary64))) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64)) (.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x x (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (fma.f64 x x (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) #s(literal -3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x x (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (fma.f64 x x (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) #s(literal -2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x x (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (pow.f64 (fma.f64 x x (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 x x (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x x (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64))))
(/.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x)))
(/.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
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(/.f64 (fma.f64 x x #s(literal -1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 x x (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))))
(sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))
(fabs.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))
(exp.f64 (-.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) (log.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))

eval39.0ms (0.8%)

Memory: -0.9MiB live, 28.9MiB allocated
Compiler: Compiled 8 208 to 1 575 computations (80.8% saved)

prune7.0ms (0.1%)

Memory

-1.4MiB live, 14.2MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	352	5	357
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	353	5	358

Accuracy

100.0%

Counts

358 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.2%	(neg.f64 (log.f64 (/.f64 (pow.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x) #s(literal -1 binary64)) #s(literal 1 binary64))))
▶	54.2%	(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x))
▶	98.7%	(log.f64 #s(approx (+ x (sqrt (- (* x x) 1))) (fma.f64 #s(literal 2 binary64) x (/.f64 #s(literal -1/2 binary64) x))))
▶	98.1%	(log.f64 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f64 #s(literal 2 binary64) x)))
▶	98.3%	#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))))

Compiler

Compiled 130 to 100 computations (23.1% saved)

simplify264.0ms (5.6%)

Memory

-0.3MiB live, 49.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x) #s(literal -1 binary64))
cost-diff	256	(neg.f64 (log.f64 (/.f64 (pow.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x) #s(literal -1 binary64)) #s(literal 1 binary64))))
cost-diff	704	(/.f64 (pow.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x) #s(literal -1 binary64)) #s(literal 1 binary64))
cost-diff	6336	(log.f64 (/.f64 (pow.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x) #s(literal -1 binary64)) #s(literal 1 binary64)))
cost-diff	0	(log.f64 #s(literal 2 binary64))
cost-diff	0	(log.f64 x)
cost-diff	0	(+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64)))
cost-diff	0	#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))))
cost-diff	0	(fma.f64 x x #s(literal -1 binary64))
cost-diff	0	(sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))
cost-diff	0	(+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x)
cost-diff	0	(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x))
cost-diff	0	(*.f64 #s(literal 2 binary64) x)
cost-diff	0	#s(approx (+ x (sqrt (- (* x x) 1))) (*.f64 #s(literal 2 binary64) x))
cost-diff	0	(log.f64 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f64 #s(literal 2 binary64) x)))
cost-diff	0	(/.f64 #s(literal -1/2 binary64) x)
cost-diff	0	(fma.f64 #s(literal 2 binary64) x (/.f64 #s(literal -1/2 binary64) x))
cost-diff	0	#s(approx (+ x (sqrt (- (* x x) 1))) (fma.f64 #s(literal 2 binary64) x (/.f64 #s(literal -1/2 binary64) x)))
cost-diff	0	(log.f64 #s(approx (+ x (sqrt (- (* x x) 1))) (fma.f64 #s(literal 2 binary64) x (/.f64 #s(literal -1/2 binary64) x))))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	189
0	45	175
1	64	174
2	73	174
3	108	174
4	147	174
5	222	174
6	370	174
7	645	174
8	2174	174
9	3326	174
10	4639	174
11	5307	174
12	5652	174
13	5851	174
14	5941	174
15	6262	174
16	7360	174
17	7879	174
0	8140	174

Stop Event

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

Calls

Call 1

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

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

localize61.0ms (1.3%)

Memory

2.6MiB live, 25.2MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(log.f64 (/.f64 (pow.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x) #s(literal -1 binary64)) #s(literal 1 binary64)))
accuracy	0.00390625	(+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x)
accuracy	0.20433856828887273	(pow.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x) #s(literal -1 binary64))
accuracy	28.17091620779977	(sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))
accuracy	0	(log.f64 x)
accuracy	0	(log.f64 #s(literal 2 binary64))
accuracy	0.15625	(+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64)))
accuracy	0.9463815273099141	#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))))
accuracy	0	(fma.f64 x x #s(literal -1 binary64))
accuracy	0.00390625	(+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x)
accuracy	0.2460418496550278	(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x))
accuracy	28.17091620779977	(sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))
accuracy	0	(*.f64 #s(literal 2 binary64) x)
accuracy	0.2460418496550278	(log.f64 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f64 #s(literal 2 binary64) x)))
accuracy	1.020261790286007	#s(approx (+ x (sqrt (- (* x x) 1))) (*.f64 #s(literal 2 binary64) x))
accuracy	0	(fma.f64 #s(literal 2 binary64) x (/.f64 #s(literal -1/2 binary64) x))
accuracy	0	(/.f64 #s(literal -1/2 binary64) x)
accuracy	0.2460418496550278	(log.f64 #s(approx (+ x (sqrt (- (* x x) 1))) (fma.f64 #s(literal 2 binary64) x (/.f64 #s(literal -1/2 binary64) x))))
accuracy	0.6514552647365918	#s(approx (+ x (sqrt (- (* x x) 1))) (fma.f64 #s(literal 2 binary64) x (/.f64 #s(literal -1/2 binary64) x)))

Samples

45.0ms

256×

valid

Compiler

Compiled 364 to 56 computations (84.6% saved)

Precisions

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

ival-log: 13.0ms (40.6% of total)

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

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

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

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

ival-pow: 2.0ms (6.2% of total)

ival-sub: 1.0ms (3.1% of total)

ival-neg: 1.0ms (3.1% of total)

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

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

exact: 0.0ms (0% of total)

series76.0ms (1.6%)

Memory

-1.1MiB live, 36.8MiB allocated

Counts

19 → 79

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
40.0ms	x	@	0	((log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (+ (* 2 x) (/ -1/2 x)) (/ -1/2 x) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (* 2 x) (log (+ (sqrt (+ (* x x) -1)) x)) (+ (sqrt (+ (* x x) -1)) x) (sqrt (+ (* x x) -1)) (+ (* x x) -1) (log (+ x (sqrt (- (* x x) 1)))) (+ (log x) (log 2)) (log x) (log 2) (log (/ (pow (+ (sqrt (+ (* x x) -1)) x) -1) 1)) (/ (pow (+ (sqrt (+ (* x x) -1)) x) -1) 1) (neg (log (/ (pow (+ (sqrt (+ (* x x) -1)) x) -1) 1))) (pow (+ (sqrt (+ (* x x) -1)) x) -1))
21.0ms	x	@	-inf	((log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (+ (* 2 x) (/ -1/2 x)) (/ -1/2 x) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (* 2 x) (log (+ (sqrt (+ (* x x) -1)) x)) (+ (sqrt (+ (* x x) -1)) x) (sqrt (+ (* x x) -1)) (+ (* x x) -1) (log (+ x (sqrt (- (* x x) 1)))) (+ (log x) (log 2)) (log x) (log 2) (log (/ (pow (+ (sqrt (+ (* x x) -1)) x) -1) 1)) (/ (pow (+ (sqrt (+ (* x x) -1)) x) -1) 1) (neg (log (/ (pow (+ (sqrt (+ (* x x) -1)) x) -1) 1))) (pow (+ (sqrt (+ (* x x) -1)) x) -1))
13.0ms	x	@	inf	((log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (+ (* 2 x) (/ -1/2 x)) (/ -1/2 x) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (* 2 x) (log (+ (sqrt (+ (* x x) -1)) x)) (+ (sqrt (+ (* x x) -1)) x) (sqrt (+ (* x x) -1)) (+ (* x x) -1) (log (+ x (sqrt (- (* x x) 1)))) (+ (log x) (log 2)) (log x) (log 2) (log (/ (pow (+ (sqrt (+ (* x x) -1)) x) -1) 1)) (/ (pow (+ (sqrt (+ (* x x) -1)) x) -1) 1) (neg (log (/ (pow (+ (sqrt (+ (* x x) -1)) x) -1) 1))) (pow (+ (sqrt (+ (* x x) -1)) x) -1))

Time

Variable

Point

Expression

40.0ms

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

21.0ms

-inf

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

13.0ms

inf

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

simplify124.0ms (2.6%)

Memory

6.8MiB live, 44.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	244	1113
1	679	1037
2	1973	1017
0	8334	987

Stop Event

1×	iter limit
1×	node limit

Counts

79 → 78

Calls

Call 1

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

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

rewrite161.0ms (3.4%)

Memory

-3.0MiB live, 61.2MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	161
0	45	145
1	167	144
2	1008	144
0	8863	144

Stop Event

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

Counts

19 → 732

Calls

Call 1

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

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

eval100.0ms (2.1%)

Memory: 13.3MiB live, 77.5MiB allocated
Compiler: Compiled 21 622 to 3 442 computations (84.1% saved)

prune32.0ms (0.7%)

Memory

-14.3MiB live, 33.0MiB allocated

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	908	2	910
Fresh	0	0	0
Picked	2	3	5
Done	0	0	0
Total	910	5	915

Accuracy

100.0%

Counts

915 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.2%	(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x))))
▶	98.5%	(neg.f64 (log.f64 #s(approx (/ (pow (+ (sqrt (+ (* x x) -1)) x) -1) 1) (/.f64 #s(literal 1/2 binary64) x))))
✓	54.2%	(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x))
✓	98.7%	(log.f64 #s(approx (+ x (sqrt (- (* x x) 1))) (fma.f64 #s(literal 2 binary64) x (/.f64 #s(literal -1/2 binary64) x))))
✓	98.1%	(log.f64 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f64 #s(literal 2 binary64) x)))

Compiler

Compiled 66 to 51 computations (22.7% saved)

simplify273.0ms (5.7%)

Memory

6.3MiB live, 52.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))
cost-diff	0	(+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x)
cost-diff	256	(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x))))
cost-diff	6336	(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x)))
cost-diff	0	(/.f64 #s(literal 1/2 binary64) x)
cost-diff	0	#s(approx (/ (pow (+ (sqrt (+ (* x x) -1)) x) -1) 1) (/.f64 #s(literal 1/2 binary64) x))
cost-diff	0	(log.f64 #s(approx (/ (pow (+ (sqrt (+ (* x x) -1)) x) -1) 1) (/.f64 #s(literal 1/2 binary64) x)))
cost-diff	0	(neg.f64 (log.f64 #s(approx (/ (pow (+ (sqrt (+ (* x x) -1)) x) -1) 1) (/.f64 #s(literal 1/2 binary64) x))))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	102
0	29	94
1	44	92
2	58	92
3	102	92
4	134	92
5	206	92
6	357	92
7	637	92
8	2046	92
9	3184	92
10	4471	92
11	5161	92
12	5499	92
13	5693	92
14	5782	92
15	6103	92
16	7201	92
17	7720	92
0	8165	92

Stop Event

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

Calls

Call 1

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

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

localize38.0ms (0.8%)

Memory

0.1MiB live, 15.3MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0	(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x)))
accuracy	0.00390625	(+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x)
accuracy	0.20433856828887273	(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x))
accuracy	28.17091620779977	(sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))
accuracy	0	(/.f64 #s(literal 1/2 binary64) x)
accuracy	0	(neg.f64 (log.f64 #s(approx (/ (pow (+ (sqrt (+ (* x x) -1)) x) -1) 1) (/.f64 #s(literal 1/2 binary64) x))))
accuracy	0	(log.f64 #s(approx (/ (pow (+ (sqrt (+ (* x x) -1)) x) -1) 1) (/.f64 #s(literal 1/2 binary64) x)))
accuracy	1.013014781058234	#s(approx (/ (pow (+ (sqrt (+ (* x x) -1)) x) -1) 1) (/.f64 #s(literal 1/2 binary64) x))

Samples

28.0ms

256×

valid

Compiler

Compiled 206 to 40 computations (80.6% saved)

Precisions

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

ival-log: 6.0ms (29.7% of total)

ival-div: 4.0ms (19.8% of total)

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

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

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

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

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

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

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

exact: 0.0ms (0% of total)

series3.0ms (0.1%)

Memory

1.5MiB live, 1.5MiB allocated

Counts

9 → 56

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

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

1.0ms

-inf

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

1.0ms

inf

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

simplify130.0ms (2.7%)

Memory

-2.7MiB live, 41.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	209	866
1	596	800
2	1748	782
0	8317	758

Stop Event

1×	iter limit
1×	node limit

Counts

56 → 55

Calls

Call 1

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

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

rewrite131.0ms (2.8%)

Memory

-3.0MiB live, 49.9MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	93
0	29	85
1	101	83
2	537	83
3	5800	83
0	8015	83

Stop Event

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

Counts

9 → 583

Calls

Call 1

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

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

eval64.0ms (1.4%)

Memory: 6.7MiB live, 51.7MiB allocated
Compiler: Compiled 17 023 to 2 360 computations (86.1% saved)

prune18.0ms (0.4%)

Memory

-6.4MiB live, 24.1MiB allocated

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	638	0	638
Fresh	0	0	0
Picked	0	2	2
Done	0	3	3
Total	638	5	643

Accuracy

100.0%

Counts

643 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	54.2%	(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x))))
✓	98.5%	(neg.f64 (log.f64 #s(approx (/ (pow (+ (sqrt (+ (* x x) -1)) x) -1) 1) (/.f64 #s(literal 1/2 binary64) x))))
✓	54.2%	(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x))
✓	98.7%	(log.f64 #s(approx (+ x (sqrt (- (* x x) 1))) (fma.f64 #s(literal 2 binary64) x (/.f64 #s(literal -1/2 binary64) x))))
✓	98.1%	(log.f64 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f64 #s(literal 2 binary64) x)))

Compiler

Compiled 169 to 100 computations (40.8% saved)

regimes9.0ms (0.2%)

Memory

-1.7MiB live, 6.1MiB allocated

Counts

8 → 1

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
3.0ms	x
3.0ms	(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))

Results

Accuracy	Segments	Branch
98.7%	1	`x`
98.7%	1	`(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))`
98.7%	1	`(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))`

Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes4.0ms (0.1%)

Memory

4.4MiB live, 4.4MiB allocated

Counts

2 → 1

Calls

Call 1

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

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

Calls

3 calls:

1.0ms	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
1.0ms	(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))
1.0ms	x

Results

Accuracy	Segments	Branch
98.5%	1	`x`
98.5%	1	`(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))`
98.5%	1	`(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))`

Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes4.0ms (0.1%)

Memory

-3.8MiB live, 4.2MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

1.0ms	(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))
1.0ms	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
1.0ms	x

Results

Accuracy	Segments	Branch
98.1%	1	`x`
98.1%	1	`(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))`
98.1%	1	`(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))`

Compiler

Compiled 18 to 14 computations (22.2% saved)

simplify20.0ms (0.4%)

Memory

2.4MiB live, 18.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	47
1	32	47
2	34	47
3	35	47

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

soundness359.0ms (7.6%)

Memory

-5.3MiB live, 2.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	150	519
1	411	493
2	1146	486
3	3331	448
4	7980	448
0	8533	426
0	7	28
0	12	28
1	49	28
2	322	28
3	3626	28
0	8646	24
0	244	1113
1	679	1037
2	1973	1017
0	8334	987

Stop Event

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

Compiler

Compiled 72 to 48 computations (33.3% saved)

preprocess53.0ms (1.1%)

Memory: 7.0MiB live, 14.5MiB allocated
Compiler: Compiled 112 to 66 computations (41.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze60.0ms (1.3%)

sample1.7s (35%)

explain85.0ms (1.8%)

preprocess390.0ms (8.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify240.0ms (5.1%)

localize20.0ms (0.4%)

series4.0ms (0.1%)

simplify122.0ms (2.6%)

rewrite199.0ms (4.2%)

eval39.0ms (0.8%)

prune7.0ms (0.1%)

simplify264.0ms (5.6%)

localize61.0ms (1.3%)

series76.0ms (1.6%)

simplify124.0ms (2.6%)

rewrite161.0ms (3.4%)

eval100.0ms (2.1%)

prune32.0ms (0.7%)

simplify273.0ms (5.7%)

localize38.0ms (0.8%)

series3.0ms (0.1%)

simplify130.0ms (2.7%)

rewrite131.0ms (2.8%)

eval64.0ms (1.4%)

prune18.0ms (0.4%)

regimes9.0ms (0.2%)

regimes4.0ms (0.1%)

regimes4.0ms (0.1%)

simplify20.0ms (0.4%)

soundness359.0ms (7.6%)

preprocess53.0ms (1.1%)

end0.0ms (0%)

Profiling