Metrics for Hyperbolic arcsine

start0.0ms (0%)

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

analyze125.0ms (1.9%)

Memory

-13.7MiB live, 87.9MiB allocated; 53ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
25%	25%	75%	0%	0%	0%	0%	3
50%	50%	50%	0%	0%	0%	0%	4
62.5%	62.5%	37.5%	0%	0%	0%	0%	5
68.8%	68.7%	31.2%	0%	0%	0%	0%	6
71.9%	71.8%	28.1%	0%	0%	0%	0%	7
73.4%	73.4%	26.5%	0%	0%	0%	0%	8
74.2%	74.2%	25.8%	0%	0%	0%	0%	9
74.6%	74.6%	25.4%	0%	0%	0%	0%	10
74.8%	74.8%	25.2%	0%	0%	0%	0%	11
74.9%	74.9%	25.1%	0%	0%	0%	0%	12

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample2.4s (37.3%)

Memory

4.2MiB live, 2 422.4MiB allocated; 386ms collecting garbage

Samples

900.0ms	1 663×	2	valid
896.0ms	4 402×	1	valid
155.0ms	2 191×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.6s

ival-log: 841.0ms (51% of total)

ival-hypot: 524.0ms (31.8% of total)

adjust: 181.0ms (11% of total)

ival-add: 87.0ms (5.3% of total)

ival-true: 7.0ms (0.4% of total)

exact: 6.0ms (0.4% of total)

ival-assert: 3.0ms (0.2% of total)

Bogosity

explain261.0ms (4%)

Memory

12.8MiB live, 168.6MiB allocated; 38ms collecting garbage

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`log.f64`	`(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))`	sensitivity	104	0
`sqrt.f64`	`(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))`	oflow-rescue	80	0
↳	`(*.f64 x x)`	overflow	80
↳	`(+.f64 (*.f64 x x) #s(literal 1 binary64))`	overflow	80
`+.f64`	`(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))`	cancellation	70	0

Confusion

	Predicted +	Predicted -
+	218	0
-	0	38

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	218	0	0
-	0	0	38

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	38
1	182
2	36

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

68.0ms	250×	1	valid
43.0ms	92×	2	valid
12.0ms	170×	0	valid

Compiler

Compiled 79 to 25 computations (68.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 82.0ms

ival-log: 35.0ms (42.9% of total)

ival-hypot: 20.0ms (24.5% of total)

adjust: 13.0ms (15.9% of total)

ival-add: 7.0ms (8.6% of total)

ival-mult: 5.0ms (6.1% of total)

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

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

exact: 0.0ms (0% of total)

preprocess225.0ms (3.5%)

Memory

16.5MiB live, 154.6MiB allocated; 16ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	22	21
2	50	21
3	74	21
4	133	21
5	339	21
6	2397	21
7	5917	21
0	7	9
0	12	9
1	20	9
2	42	9
3	82	9
4	141	9
5	347	9
6	2402	9
7	5903	9
0	8142	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: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	19.8%	(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify147.0ms (2.3%)

Memory

-16.0MiB live, 74.9MiB allocated; 8ms collecting garbage

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	33
0	12	33
1	20	33
2	42	33
3	82	33
4	141	33
5	347	33
6	2402	33
7	5903	33
0	8142	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)

localize102.0ms (1.6%)

Memory

11.4MiB live, 64.6MiB allocated; 8ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x x)
accuracy	16.23797069737493	(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
accuracy	18.714531121787598	(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))
accuracy	23.87323643453334	(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))

Samples

42.0ms	125×	1	valid
22.0ms	46×	2	valid
6.0ms	85×	0	valid

Compiler

Compiled 35 to 9 computations (74.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 60.0ms

adjust: 26.0ms (43.5% of total)

ival-log: 17.0ms (28.5% of total)

ival-hypot: 10.0ms (16.7% of total)

ival-add: 4.0ms (6.7% of total)

ival-mult: 2.0ms (3.3% of total)

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

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

exact: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory

5.7MiB live, 5.7MiB allocated; 0ms collecting garbage

Counts

5 → 37

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)))
(*.f64 x x)

Outputs
1
(+ 1 (pow x 2))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(pow x 2)
(* (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))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(* 2 x)
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(+ (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 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x))
(* -1 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	((+ (* x x) 1) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (* x x))
1.0ms	x	@	0	((+ (* x x) 1) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (* x x))
1.0ms	x	@	-inf	((+ (* x x) 1) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (* x x))

Time

Variable

Point

Expression

2.0ms

inf

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

1.0ms

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

1.0ms

-inf

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

simplify228.0ms (3.5%)

Memory

2.9MiB live, 130.7MiB allocated; 20ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	125	448
1	384	440
2	1236	430
3	5922	430
0	8517	410

Stop Event

1×	iter limit
1×	node limit

Counts

37 → 36

Calls

Call 1

Inputs
1
(+ 1 (pow x 2))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(pow x 2)
(* (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))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(* 2 x)
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(+ (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 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x))
(* -1 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))

Outputs
1
#s(literal 1 binary64)
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64) (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64))) x)
(+ 1 x)
(-.f64 x #s(literal -1 binary64))
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* 1/2 (pow x 2)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(fma.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 x x) #s(literal -1/8 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(* (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))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(-.f64 (-.f64 (+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(-.f64 (-.f64 (-.f64 (+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) (/.f64 #s(literal -5/96 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal -2 binary64)) x)
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal -2 binary64)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) x)
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(.f64 (-.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal -2 binary64)) (/.f64 #s(literal -1/2 binary64) (.f64 x x))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) x)
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) x x)
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) x x)
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(fma.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)))) x 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)) (log.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 (/.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))) (* 5/96 (/ 1 (pow x 6)))))
(-.f64 (+.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) x))) (-.f64 (/.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))))
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x)
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))
(/.f64 (-.f64 (/.f64 #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))) (neg.f64 x))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x))
(/.f64 (-.f64 (-.f64 (/.f64 #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))) (/.f64 #s(literal 5/128 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 x))
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (neg.f64 x))
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(neg.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) x x))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(.f64 (+.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (.f64 x x)) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64))))) x)

rewrite89.0ms (1.4%)

Memory

2.8MiB live, 63.6MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	31
0	12	18
1	51	18
0	391	17

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

5 → 85

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)))
(*.f64 x x)

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

eval45.0ms (0.7%)

Memory: -14.8MiB live, 30.1MiB allocated; 3ms collecting garbage
Compiler: Compiled 1 860 to 567 computations (69.5% saved)

prune5.0ms (0.1%)

Memory

10.2MiB live, 10.2MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	115	5	120
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	116	5	121

Accuracy

100.0%

Counts

121 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	27.4%	(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
▶	32.1%	(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x)))
▶	99.8%	(asinh.f64 x)
▶	42.9%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x))
▶	41.2%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))

Compiler

Compiled 132 to 100 computations (24.2% saved)

simplify148.0ms (2.3%)

Memory

-12.4MiB live, 126.0MiB allocated; 49ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 x #s(literal 3 binary64))
cost-diff	0	(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x)
cost-diff	0	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x))
cost-diff	1	(-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64))
cost-diff	0	(/.f64 #s(literal -1/2 binary64) x)
cost-diff	0	#s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x))
cost-diff	0	(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
cost-diff	0	(pow.f64 x #s(literal 3 binary64))
cost-diff	0	(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
cost-diff	0	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 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	(asinh.f64 x)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	147
0	41	147
1	61	147
2	132	147
3	434	147
4	1419	147
5	4817	147
0	8358	138

Stop Event

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

Calls

Call 1

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

Outputs
(asinh.f64 x)
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)
#s(literal 2 binary64)
x
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
#s(literal -1/6 binary64)
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
x
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x)
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64))
(fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))
(.f64 #s(literal 3/40 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 3/40 binary64))
#s(literal 3/40 binary64)
(*.f64 x x)
#s(literal 1/6 binary64)

localize131.0ms (2%)

Memory

17.3MiB live, 208.7MiB allocated; 18ms collecting garbage

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64))
accuracy	0.056972509768442016	(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x)
accuracy	0.14453125	(.f64 #s(literal 3/40 binary64) (.f64 x x))
accuracy	36.532652447567145	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x))
accuracy	0.0	(/.f64 #s(literal -1/2 binary64) x)
accuracy	23.87323643453334	(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
accuracy	45.65908567971359	#s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x))
accuracy	0.0	(pow.f64 x #s(literal 3 binary64))
accuracy	0.08984375	(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
accuracy	37.63321551585353	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))
accuracy	0.0	(*.f64 #s(literal 2 binary64) x)
accuracy	23.87323643453334	(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x)))
accuracy	42.493110484419645	#s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x))
accuracy	0.109375	(asinh.f64 x)

Samples

55.0ms	125×	1	valid
42.0ms	46×	2	valid
17.0ms	85×	0	valid

Compiler

Compiled 115 to 24 computations (79.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 94.0ms

ival-log: 21.0ms (22.4% of total)

adjust: 16.0ms (17% of total)

ival-hypot: 16.0ms (17% of total)

const: 12.0ms (12.8% of total)

ival-mult: 10.0ms (10.7% of total)

ival-add: 6.0ms (6.4% of total)

ival-pow: 5.0ms (5.3% of total)

ival-asinh: 3.0ms (3.2% of total)

ival-div: 2.0ms (2.1% of total)

ival-sub: 2.0ms (2.1% of total)

exact: 1.0ms (1.1% of total)

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

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

series8.0ms (0.1%)

Memory

15.1MiB live, 15.1MiB allocated; 0ms collecting garbage

Counts

14 → 37

Calls

Call 1

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

Outputs
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))
(* 2 x)
(pow x 3)
(/ -1/2 x)
-1/6
(- (* 3/40 (pow x 2)) 1/6)
(* 3/40 (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))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(* -1/6 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* 3/40 (pow x 5))
(* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 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 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))

Calls

3 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	((asinh x) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (* 2 x) (log (+ x (sqrt (+ (* x x) 1)))) (+ (* (pow x 3) -1/6) x) (pow x 3) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (/ -1/2 x) (- (* 3/40 (* x x)) 1/6) (log (+ x (sqrt (+ (* x x) 1)))) (+ (* (pow x 3) (- (* 3/40 (* x x)) 1/6)) x) (* 3/40 (* x x)))
3.0ms	x	@	-inf	((asinh x) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (* 2 x) (log (+ x (sqrt (+ (* x x) 1)))) (+ (* (pow x 3) -1/6) x) (pow x 3) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (/ -1/2 x) (- (* 3/40 (* x x)) 1/6) (log (+ x (sqrt (+ (* x x) 1)))) (+ (* (pow x 3) (- (* 3/40 (* x x)) 1/6)) x) (* 3/40 (* x x)))
2.0ms	x	@	0	((asinh x) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (* 2 x) (log (+ x (sqrt (+ (* x x) 1)))) (+ (* (pow x 3) -1/6) x) (pow x 3) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (/ -1/2 x) (- (* 3/40 (* x x)) 1/6) (log (+ x (sqrt (+ (* x x) 1)))) (+ (* (pow x 3) (- (* 3/40 (* x x)) 1/6)) x) (* 3/40 (* x x)))

Time

Variable

Point

Expression

3.0ms

inf

((asinh x) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (* 2 x) (log (+ x (sqrt (+ (* x x) 1)))) (+ (* (pow x 3) -1/6) x) (pow x 3) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (/ -1/2 x) (- (* 3/40 (* x x)) 1/6) (log (+ x (sqrt (+ (* x x) 1)))) (+ (* (pow x 3) (- (* 3/40 (* x x)) 1/6)) x) (* 3/40 (* x x)))

3.0ms

-inf

((asinh x) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (* 2 x) (log (+ x (sqrt (+ (* x x) 1)))) (+ (* (pow x 3) -1/6) x) (pow x 3) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (/ -1/2 x) (- (* 3/40 (* x x)) 1/6) (log (+ x (sqrt (+ (* x x) 1)))) (+ (* (pow x 3) (- (* 3/40 (* x x)) 1/6)) x) (* 3/40 (* x x)))

2.0ms

((asinh x) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (* 2 x) (log (+ x (sqrt (+ (* x x) 1)))) (+ (* (pow x 3) -1/6) x) (pow x 3) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (/ -1/2 x) (- (* 3/40 (* x x)) 1/6) (log (+ x (sqrt (+ (* x x) 1)))) (+ (* (pow x 3) (- (* 3/40 (* x x)) 1/6)) x) (* 3/40 (* x x)))

simplify153.0ms (2.4%)

Memory

-24.8MiB live, 112.9MiB allocated; 12ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	126	413
1	361	397
2	1110	396
3	4797	390
0	8544	374

Stop Event

1×	iter limit
1×	node limit

Counts

37 → 36

Calls

Call 1

Inputs
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))
(* 2 x)
(pow x 3)
(/ -1/2 x)
-1/6
(- (* 3/40 (pow x 2)) 1/6)
(* 3/40 (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))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(* -1/6 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* 3/40 (pow x 5))
(* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 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 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))

Outputs
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -5/112 binary64) (.f64 x x) #s(literal 3/40 binary64)) (.f64 x x) #s(literal -1/6 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 x)
(-.f64 x #s(literal -1 binary64))
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
-1/6
#s(literal -1/6 binary64)
(- (* 3/40 (pow x 2)) 1/6)
(fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))
(* 3/40 (pow x 2))
(.f64 #s(literal 3/40 binary64) (.f64 x x))
(+ (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))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(-.f64 (-.f64 (+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(-.f64 (-.f64 (-.f64 (+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) (/.f64 #s(literal -5/96 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 2 binary64) x (/.f64 #s(literal 1/2 binary64) x))
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) x))
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(+.f64 (fma.f64 #s(literal 2 binary64) x (/.f64 #s(literal 1/2 binary64) x)) (*.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) x))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))
(* 3/40 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64))
(* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 3/40 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))))
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 3/40 binary64)) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 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)) (log.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))
(- (+ (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 3/32 binary64) (pow.f64 x #s(literal 4 binary64)))) (log.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))
(- (+ (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 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64)))) (log.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal 6 binary64))))
(* -1 (/ (- 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 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))
(/.f64 (-.f64 #s(literal -1/2 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 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x))
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/2 binary64)) x) (-.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 5/128 binary64) (pow.f64 x #s(literal 7 binary64)))))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 #s(literal 1/6 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 3/40 binary64))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))
(.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 3/40 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))

rewrite64.0ms (1%)

Memory

14.0MiB live, 65.3MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	129
0	41	103
1	131	103
0	927	103

Stop Event

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

Counts

14 → 94

Calls

Call 1

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

Outputs
(asinh.f64 x)
(-.f64 (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)))) (log.f64 (-.f64 x (cosh.f64 (asinh.f64 x)))))
(-.f64 (log.f64 (+.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (log.f64 (fma.f64 (cosh.f64 (asinh.f64 x)) (-.f64 (cosh.f64 (asinh.f64 x)) x) (*.f64 x x))))
(log.f64 (+.f64 (cosh.f64 (asinh.f64 x)) 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)
(*.f64 x #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 x x) (.f64 x x)) (-.f64 x x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 x x) (.f64 x x))))
(fma.f64 #s(literal 1 binary64) x (*.f64 #s(literal 1 binary64) x))
(fma.f64 x #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1 binary64) x))
(+.f64 (.f64 x #s(literal 1 binary64)) (.f64 x #s(literal 1 binary64)))
(+.f64 x x)
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(/.f64 (-.f64 (.f64 x x) (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)))) (-.f64 x (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 (neg.f64 x) x))) (neg.f64 (-.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) x)))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x (-.f64 x (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))))))
(/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 (neg.f64 x) x)) (-.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) x))
(/.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64))) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x (-.f64 x (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))))
(fma.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)) x)
(fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) x x)
(fma.f64 (.f64 #s(literal -1/6 binary64) x) (.f64 x x) x)
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64)) x)
(fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x)
(fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(fma.f64 x (.f64 (.f64 x x) #s(literal -1/6 binary64)) x)
(-.f64 (/.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) x)) (/.f64 (.f64 x x) (-.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) x)))
(-.f64 x (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
(-.f64 x (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1/6 binary64)))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x (-.f64 x (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x (-.f64 x (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))))))
(+.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) x)
(+.f64 x (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
(.f64 (.f64 x (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 x (fabs.f64 x)) (fabs.f64 x))
(*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (neg.f64 (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 x #s(literal 3/2 binary64))) (fabs.f64 (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) x))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) x))
(.f64 (.f64 x x) x)
(.f64 x (.f64 x x))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 x #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))))
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) (neg.f64 x))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal -1/2 binary64) x)
(neg.f64 (/.f64 #s(literal 1/2 binary64) x))
(neg.f64 (/.f64 #s(literal -1/2 binary64) (neg.f64 x)))
(/.f64 (neg.f64 (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal 1/6 binary64))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 27/64000 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/216 binary64))) (neg.f64 (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal 1/80 binary64) #s(literal 1/36 binary64)))))
(/.f64 (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal 1/6 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 27/64000 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/216 binary64)) (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal 1/80 binary64) #s(literal 1/36 binary64))))
(-.f64 (/.f64 (.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (.f64 x x) #s(literal 3/40 binary64) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal 1/6 binary64))))
(-.f64 (/.f64 (.f64 #s(literal 27/64000 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal 1/80 binary64) #s(literal 1/36 binary64)))) (/.f64 #s(literal 1/216 binary64) (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/80 binary64) #s(literal 1/36 binary64)))))
(-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))) (-.f64 x (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (.f64 x x))) (neg.f64 (-.f64 (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (.f64 x x)) (-.f64 (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) x))
(/.f64 (+.f64 (pow.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))))
(fma.f64 (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)) x)
(fma.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (.f64 x x)) x x)
(fma.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) x) (.f64 x x) x)
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (-.f64 (.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64))) x)
(fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
(fma.f64 (.f64 x x) (.f64 x (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64))) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) x)
(fma.f64 x (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64))) x)
(-.f64 (/.f64 (pow.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (-.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) x)) (/.f64 (.f64 x x) (-.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) x)))
(-.f64 x (.f64 (neg.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3 binary64))))
(-.f64 x (.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (-.f64 (.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64))))
(+.f64 (/.f64 (pow.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)))))
(+.f64 (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) x)
(+.f64 x (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
(.f64 (.f64 #s(literal 3/40 binary64) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 #s(literal 3/40 binary64) (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 #s(literal 3/40 binary64) x) x)
(.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 3/40 binary64)))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(literal 3/40 binary64)))
(.f64 (.f64 x x) #s(literal 3/40 binary64))
(.f64 #s(literal 3/40 binary64) (.f64 x x))
(.f64 x (.f64 #s(literal 3/40 binary64) x))

eval43.0ms (0.7%)

Memory: -19.5MiB live, 26.7MiB allocated; 3ms collecting garbage
Compiler: Compiled 3 477 to 563 computations (83.8% saved)

prune8.0ms (0.1%)

Memory

16.4MiB live, 16.4MiB allocated; 0ms collecting garbage

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	138	7	145
Fresh	0	0	0
Picked	3	2	5
Done	0	0	0
Total	141	9	150

Accuracy

100.0%

Counts

150 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	27.4%	(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
	32.1%	(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 x x)))
✓	99.8%	(asinh.f64 x)
	42.9%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (.f64 x x)) x x))
▶	42.9%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) x) (.f64 x x) x))
▶	42.9%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (.f64 x x) x) (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x))
▶	41.2%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x))
▶	41.2%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x))
▶	41.2%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) x x))

Compiler

Compiled 293 to 192 computations (34.5% saved)

simplify130.0ms (2%)

Memory

18.4MiB live, 110.7MiB allocated; 7ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) x)
cost-diff	0	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) x) (.f64 x x) x))
cost-diff	1	(-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64))
cost-diff	2	(fma.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) x) (.f64 x x) x)
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)
cost-diff	0	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x))
cost-diff	2	(.f64 (.f64 x x) x)
cost-diff	0	(*.f64 x #s(literal -1/6 binary64))
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x))
cost-diff	2	(fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x)
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 #s(literal -1/6 binary64) (.f64 x x))
cost-diff	0	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) x x))
cost-diff	2	(fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) x x)
cost-diff	0	(fma.f64 (.f64 (.f64 x x) x) (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x)
cost-diff	0	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (.f64 x x) x) (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x))
cost-diff	1	(-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64))
cost-diff	2	(.f64 (.f64 x x) x)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	232
0	48	232
1	86	208
2	193	208
3	514	208
4	999	208
5	2577	208
0	8213	196

Stop Event

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

Calls

Call 1

Inputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (.f64 x x) x) (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x))
(fma.f64 (.f64 (.f64 x x) x) (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x)
(.f64 (.f64 x x) x)
(*.f64 x x)
x
(-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64))
(.f64 #s(literal 3/40 binary64) (.f64 x x))
#s(literal 3/40 binary64)
#s(literal 1/6 binary64)
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) x x))
(fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) x x)
(.f64 #s(literal -1/6 binary64) (.f64 x x))
#s(literal -1/6 binary64)
(*.f64 x x)
x
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x))
(fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x)
(*.f64 x x)
x
(*.f64 x #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x))
(fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)
(.f64 (.f64 x x) x)
(*.f64 x x)
x
#s(literal -1/6 binary64)
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) x) (.f64 x x) x))
(fma.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) x) (.f64 x x) x)
(.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) x)
(-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64))
(.f64 (.f64 x x) #s(literal 3/40 binary64))
(*.f64 x x)
x
#s(literal 3/40 binary64)
#s(literal 1/6 binary64)

Outputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (.f64 x x) x) (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x))
(fma.f64 (.f64 (.f64 x x) x) (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x)
(fma.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
(.f64 (.f64 x x) x)
(pow.f64 x #s(literal 3 binary64))
(*.f64 x x)
x
(-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64))
(fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))
(.f64 #s(literal 3/40 binary64) (.f64 x x))
#s(literal 3/40 binary64)
#s(literal 1/6 binary64)
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) x x)
(fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(.f64 #s(literal -1/6 binary64) (.f64 x x))
#s(literal -1/6 binary64)
(*.f64 x x)
x
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x)
(fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(*.f64 x x)
x
(*.f64 x #s(literal -1/6 binary64))
(*.f64 #s(literal -1/6 binary64) x)
#s(literal -1/6 binary64)
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)
(fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(.f64 (.f64 x x) x)
(pow.f64 x #s(literal 3 binary64))
(*.f64 x x)
x
#s(literal -1/6 binary64)
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) x) (.f64 x x) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x))
(fma.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) x) (.f64 x x) x)
(fma.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
(.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) x)
(.f64 (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal -1/6 binary64)) x)
(-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64))
(fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))
(.f64 (.f64 x x) #s(literal 3/40 binary64))
(.f64 #s(literal 3/40 binary64) (.f64 x x))
(*.f64 x x)
x
#s(literal 3/40 binary64)
#s(literal 1/6 binary64)

localize207.0ms (3.2%)

Memory

-4.0MiB live, 186.0MiB allocated; 14ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.04296875	(fma.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) x) (.f64 x x) x)
accuracy	0.125	(.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) x)
accuracy	0.14453125	(.f64 (.f64 x x) #s(literal 3/40 binary64))
accuracy	36.532652447567145	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) x) (.f64 x x) x))
accuracy	0.0	(*.f64 x x)
accuracy	0.08984375	(fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)
accuracy	0.1328125	(.f64 (.f64 x x) x)
accuracy	37.63321551585353	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x))
accuracy	0.0	(*.f64 x x)
accuracy	0.05859375	(fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x)
accuracy	0.29296875	(*.f64 x #s(literal -1/6 binary64))
accuracy	37.63321551585353	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x))
accuracy	0.0	(*.f64 x x)
accuracy	0.02734375	(fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) x x)
accuracy	0.20703125	(.f64 #s(literal -1/6 binary64) (.f64 x x))
accuracy	37.63321551585353	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) x x))
accuracy	0.056972509768442016	(fma.f64 (.f64 (.f64 x x) x) (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x)
accuracy	0.1328125	(.f64 (.f64 x x) x)
accuracy	0.14453125	(.f64 #s(literal 3/40 binary64) (.f64 x x))
accuracy	36.532652447567145	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (.f64 x x) x) (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x))

Samples

87.0ms	124×	1	valid
65.0ms	46×	2	valid
34.0ms	86×	0	valid

Compiler

Compiled 182 to 29 computations (84.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 162.0ms

ival-mult: 38.0ms (23.4% of total)

ival-log: 37.0ms (22.8% of total)

ival-add: 33.0ms (20.3% of total)

adjust: 22.0ms (13.6% of total)

ival-hypot: 16.0ms (9.9% of total)

const: 12.0ms (7.4% of total)

ival-sub: 4.0ms (2.5% of total)

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

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

exact: 0.0ms (0% of total)

series60.0ms (0.9%)

Memory

-39.0MiB live, 19.8MiB allocated; 68ms collecting garbage

Counts

19 → 32

Calls

Call 1

Inputs
(.f64 (.f64 x x) x)
(-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (.f64 x x) x) (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x))
(fma.f64 (.f64 (.f64 x x) x) (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x)
(fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) x x)
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) x x))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(*.f64 x x)
(fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x)
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x))
(*.f64 x #s(literal -1/6 binary64))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x))
(fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)
(fma.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) x) (.f64 x x) x)
(-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) x) (.f64 x x) x))
(.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) x)
(.f64 #s(literal 3/40 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 3/40 binary64))

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

Calls

3 calls:

Time

Variable

Point

Expression

55.0ms

-inf

((* (* x x) x) (- (* 3/40 (* x x)) 1/6) (log (+ x (sqrt (+ (* x x) 1)))) (+ (* (* (* x x) x) (- (* 3/40 (* x x)) 1/6)) x) (+ (* (* -1/6 (* x x)) x) x) (log (+ x (sqrt (+ (* x x) 1)))) (* -1/6 (* x x)) (* x x) (+ (* (* x x) (* x -1/6)) x) (log (+ x (sqrt (+ (* x x) 1)))) (* x -1/6) (log (+ x (sqrt (+ (* x x) 1)))) (+ (* (* (* x x) x) -1/6) x) (+ (* (* (- (* (* x x) 3/40) 1/6) x) (* x x)) x) (- (* (* x x) 3/40) 1/6) (log (+ x (sqrt (+ (* x x) 1)))) (* (- (* (* x x) 3/40) 1/6) x) (* 3/40 (* x x)) (* (* x x) 3/40))

2.0ms

inf

((* (* x x) x) (- (* 3/40 (* x x)) 1/6) (log (+ x (sqrt (+ (* x x) 1)))) (+ (* (* (* x x) x) (- (* 3/40 (* x x)) 1/6)) x) (+ (* (* -1/6 (* x x)) x) x) (log (+ x (sqrt (+ (* x x) 1)))) (* -1/6 (* x x)) (* x x) (+ (* (* x x) (* x -1/6)) x) (log (+ x (sqrt (+ (* x x) 1)))) (* x -1/6) (log (+ x (sqrt (+ (* x x) 1)))) (+ (* (* (* x x) x) -1/6) x) (+ (* (* (- (* (* x x) 3/40) 1/6) x) (* x x)) x) (- (* (* x x) 3/40) 1/6) (log (+ x (sqrt (+ (* x x) 1)))) (* (- (* (* x x) 3/40) 1/6) x) (* 3/40 (* x x)) (* (* x x) 3/40))

2.0ms

((* (* x x) x) (- (* 3/40 (* x x)) 1/6) (log (+ x (sqrt (+ (* x x) 1)))) (+ (* (* (* x x) x) (- (* 3/40 (* x x)) 1/6)) x) (+ (* (* -1/6 (* x x)) x) x) (log (+ x (sqrt (+ (* x x) 1)))) (* -1/6 (* x x)) (* x x) (+ (* (* x x) (* x -1/6)) x) (log (+ x (sqrt (+ (* x x) 1)))) (* x -1/6) (log (+ x (sqrt (+ (* x x) 1)))) (+ (* (* (* x x) x) -1/6) x) (+ (* (* (- (* (* x x) 3/40) 1/6) x) (* x x)) x) (- (* (* x x) 3/40) 1/6) (log (+ x (sqrt (+ (* x x) 1)))) (* (- (* (* x x) 3/40) 1/6) x) (* 3/40 (* x x)) (* (* x x) 3/40))

simplify145.0ms (2.2%)

Memory

30.4MiB live, 123.7MiB allocated; 11ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	89	329
1	225	311
2	663	311
3	2714	311
0	8403	299

Stop Event

1×	iter limit
1×	node limit

Counts

32 → 31

Calls

Call 1

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

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

rewrite97.0ms (1.5%)

Memory

-11.1MiB live, 86.8MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	203
0	48	146
1	203	146
0	1077	146

Stop Event

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

Counts

19 → 222

Calls

Call 1

Inputs
(.f64 (.f64 x x) x)
(-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (.f64 x x) x) (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x))
(fma.f64 (.f64 (.f64 x x) x) (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x)
(fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) x x)
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) x x))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(*.f64 x x)
(fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x)
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x))
(*.f64 x #s(literal -1/6 binary64))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x))
(fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)
(fma.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) x) (.f64 x x) x)
(-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) x) (.f64 x x) x))
(.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) x)
(.f64 #s(literal 3/40 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 3/40 binary64))

Outputs
(.f64 (.f64 x (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 x (fabs.f64 x)) (fabs.f64 x))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) x))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) x))
(.f64 (.f64 x x) x)
(.f64 x (.f64 x x))
(pow.f64 x #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(/.f64 (neg.f64 (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))) (neg.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 27/64000 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/216 binary64))) (neg.f64 (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal 1/80 binary64) #s(literal 1/36 binary64)))))
(/.f64 (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 27/64000 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/216 binary64)) (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal 1/80 binary64) #s(literal 1/36 binary64))))
(-.f64 (/.f64 (.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64))))
(-.f64 (/.f64 (.f64 #s(literal 27/64000 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal 1/80 binary64) #s(literal 1/36 binary64)))) (/.f64 #s(literal 1/216 binary64) (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/80 binary64) #s(literal 1/36 binary64)))))
(-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x))
(.f64 (fma.f64 (.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x) x #s(literal 1 binary64)) x)
(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))) (-.f64 x (.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (.f64 x x))) (neg.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (.f64 x x)) (-.f64 (.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) x))
(/.f64 (+.f64 (pow.f64 (.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))))
(fma.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x) (neg.f64 x)) (neg.f64 x) x)
(fma.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x) (fabs.f64 x)) (fabs.f64 x) x)
(fma.f64 (.f64 (.f64 x x) (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64))) x x)
(fma.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x) x) x x)
(fma.f64 (neg.f64 x) (.f64 (neg.f64 x) (.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x)) x)
(fma.f64 (fabs.f64 x) (.f64 (fabs.f64 x) (.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x)) x)
(fma.f64 (.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x) (.f64 x x) x)
(fma.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x)
(fma.f64 (.f64 x x) (.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x) x)
(fma.f64 x (.f64 (.f64 x x) (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64))) x)
(fma.f64 x (.f64 (.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x) x) x)
(-.f64 (/.f64 (pow.f64 (.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (-.f64 (.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) x)) (/.f64 (.f64 x x) (-.f64 (.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) x)))
(-.f64 x (.f64 (neg.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x) x)) x))
(-.f64 x (.f64 (neg.f64 (.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x)) (*.f64 x x)))
(-.f64 x (.f64 (neg.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3 binary64))))
(-.f64 x (.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (-.f64 (.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64))))
(-.f64 x (.f64 (neg.f64 (.f64 x x)) (.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x)))
(+.f64 (/.f64 (pow.f64 (.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)))))
(+.f64 (.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) x)
(+.f64 x (.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
(.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64)) x)
(.f64 x (fma.f64 (.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 x x) (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)))) (-.f64 x (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 (neg.f64 x) x))) (neg.f64 (-.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) x)))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x (-.f64 x (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))))))
(/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 (neg.f64 x) x)) (-.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) x))
(/.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64))) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x (-.f64 x (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))))
(fma.f64 (.f64 (.f64 #s(literal -1/6 binary64) x) (neg.f64 x)) (neg.f64 x) x)
(fma.f64 (.f64 (.f64 #s(literal -1/6 binary64) x) (fabs.f64 x)) (fabs.f64 x) x)
(fma.f64 (neg.f64 x) (.f64 (neg.f64 x) (.f64 #s(literal -1/6 binary64) x)) x)
(fma.f64 (fabs.f64 x) (.f64 (fabs.f64 x) (.f64 #s(literal -1/6 binary64) x)) x)
(fma.f64 (.f64 #s(literal -1/6 binary64) x) (.f64 x x) x)
(fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) x x)
(fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(fma.f64 (.f64 x x) (.f64 #s(literal -1/6 binary64) x) x)
(fma.f64 x (.f64 #s(literal -1/6 binary64) (.f64 x x)) x)
(-.f64 (/.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) x)) (/.f64 (.f64 x x) (-.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) x)))
(-.f64 x (.f64 (neg.f64 (.f64 #s(literal -1/6 binary64) x)) (*.f64 x x)))
(-.f64 x (.f64 (neg.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x))) x))
(-.f64 x (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
(-.f64 x (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1/6 binary64)))
(-.f64 x (.f64 (neg.f64 (.f64 x x)) (*.f64 #s(literal -1/6 binary64) x)))
(-.f64 x (.f64 (neg.f64 x) (.f64 #s(literal -1/6 binary64) (*.f64 x x))))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x (-.f64 x (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x (-.f64 x (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))))))
(+.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) x)
(+.f64 x (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(.f64 (.f64 #s(literal -1/6 binary64) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 #s(literal -1/6 binary64) (fabs.f64 x)) (fabs.f64 x))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal -1/6 binary64)))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(literal -1/6 binary64)))
(.f64 (.f64 #s(literal -1/6 binary64) x) x)
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal -1/6 binary64))
(.f64 x (.f64 #s(literal -1/6 binary64) x))
(.f64 (.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(.f64 (.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (fabs.f64 x) #s(literal 1 binary64)))
(.f64 (.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (neg.f64 x) (neg.f64 x))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(.f64 #s(literal 1 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1 binary64))
(.f64 x (.f64 x #s(literal 1 binary64)))
(*.f64 x x)
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(neg.f64 (*.f64 x (neg.f64 x)))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64)) x)
(.f64 x (fma.f64 (.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 x x) (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)))) (-.f64 x (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 (neg.f64 x) x))) (neg.f64 (-.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) x)))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x (-.f64 x (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))))))
(/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 (neg.f64 x) x)) (-.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) x))
(/.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64))) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x (-.f64 x (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))))
(fma.f64 (.f64 (.f64 #s(literal -1/6 binary64) x) (neg.f64 x)) (neg.f64 x) x)
(fma.f64 (.f64 (.f64 #s(literal -1/6 binary64) x) (fabs.f64 x)) (fabs.f64 x) x)
(fma.f64 (neg.f64 x) (.f64 (neg.f64 x) (.f64 #s(literal -1/6 binary64) x)) x)
(fma.f64 (fabs.f64 x) (.f64 (fabs.f64 x) (.f64 #s(literal -1/6 binary64) x)) x)
(fma.f64 (.f64 #s(literal -1/6 binary64) x) (.f64 x x) x)
(fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) x x)
(fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(fma.f64 (.f64 x x) (.f64 #s(literal -1/6 binary64) x) x)
(fma.f64 x (.f64 #s(literal -1/6 binary64) (.f64 x x)) x)
(-.f64 (/.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) x)) (/.f64 (.f64 x x) (-.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) x)))
(-.f64 x (.f64 (neg.f64 (.f64 #s(literal -1/6 binary64) x)) (*.f64 x x)))
(-.f64 x (.f64 (neg.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x))) x))
(-.f64 x (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
(-.f64 x (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1/6 binary64)))
(-.f64 x (.f64 (neg.f64 (.f64 x x)) (*.f64 #s(literal -1/6 binary64) x)))
(-.f64 x (.f64 (neg.f64 x) (.f64 #s(literal -1/6 binary64) (*.f64 x x))))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x (-.f64 x (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x (-.f64 x (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))))))
(+.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) x)
(+.f64 x (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(*.f64 #s(literal -1/6 binary64) x)
(*.f64 x #s(literal -1/6 binary64))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64)) x)
(.f64 x (fma.f64 (.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 x x) (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)))) (-.f64 x (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 (neg.f64 x) x))) (neg.f64 (-.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) x)))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x (-.f64 x (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))))))
(/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 (neg.f64 x) x)) (-.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) x))
(/.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64))) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x (-.f64 x (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))))
(fma.f64 (.f64 (.f64 #s(literal -1/6 binary64) x) (neg.f64 x)) (neg.f64 x) x)
(fma.f64 (.f64 (.f64 #s(literal -1/6 binary64) x) (fabs.f64 x)) (fabs.f64 x) x)
(fma.f64 (neg.f64 x) (.f64 (neg.f64 x) (.f64 #s(literal -1/6 binary64) x)) x)
(fma.f64 (fabs.f64 x) (.f64 (fabs.f64 x) (.f64 #s(literal -1/6 binary64) x)) x)
(fma.f64 (.f64 #s(literal -1/6 binary64) x) (.f64 x x) x)
(fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) x x)
(fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(fma.f64 (.f64 x x) (.f64 #s(literal -1/6 binary64) x) x)
(fma.f64 x (.f64 #s(literal -1/6 binary64) (.f64 x x)) x)
(-.f64 (/.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) x)) (/.f64 (.f64 x x) (-.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) x)))
(-.f64 x (.f64 (neg.f64 (.f64 #s(literal -1/6 binary64) x)) (*.f64 x x)))
(-.f64 x (.f64 (neg.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x))) x))
(-.f64 x (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
(-.f64 x (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1/6 binary64)))
(-.f64 x (.f64 (neg.f64 (.f64 x x)) (*.f64 #s(literal -1/6 binary64) x)))
(-.f64 x (.f64 (neg.f64 x) (.f64 #s(literal -1/6 binary64) (*.f64 x x))))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x (-.f64 x (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x (-.f64 x (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))))))
(+.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) x)
(+.f64 x (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
(.f64 (fma.f64 (.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x) x #s(literal 1 binary64)) x)
(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))) (-.f64 x (.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (.f64 x x))) (neg.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (.f64 x x)) (-.f64 (.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) x))
(/.f64 (+.f64 (pow.f64 (.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))))
(fma.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x) (neg.f64 x)) (neg.f64 x) x)
(fma.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x) (fabs.f64 x)) (fabs.f64 x) x)
(fma.f64 (.f64 (.f64 x x) (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64))) x x)
(fma.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x) x) x x)
(fma.f64 (neg.f64 x) (.f64 (neg.f64 x) (.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x)) x)
(fma.f64 (fabs.f64 x) (.f64 (fabs.f64 x) (.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x)) x)
(fma.f64 (.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x) (.f64 x x) x)
(fma.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x)
(fma.f64 (.f64 x x) (.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x) x)
(fma.f64 x (.f64 (.f64 x x) (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64))) x)
(fma.f64 x (.f64 (.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x) x) x)
(-.f64 (/.f64 (pow.f64 (.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (-.f64 (.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) x)) (/.f64 (.f64 x x) (-.f64 (.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) x)))
(-.f64 x (.f64 (neg.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x) x)) x))
(-.f64 x (.f64 (neg.f64 (.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x)) (*.f64 x x)))
(-.f64 x (.f64 (neg.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3 binary64))))
(-.f64 x (.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (-.f64 (.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64))))
(-.f64 x (.f64 (neg.f64 (.f64 x x)) (.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x)))
(+.f64 (/.f64 (pow.f64 (.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)))))
(+.f64 (.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) x)
(+.f64 x (.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))) (neg.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 27/64000 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/216 binary64))) (neg.f64 (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal 1/80 binary64) #s(literal 1/36 binary64)))))
(/.f64 (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 27/64000 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/216 binary64)) (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal 1/80 binary64) #s(literal 1/36 binary64))))
(-.f64 (/.f64 (.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64))))
(-.f64 (/.f64 (.f64 #s(literal 27/64000 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal 1/80 binary64) #s(literal 1/36 binary64)))) (/.f64 #s(literal 1/216 binary64) (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/80 binary64) #s(literal 1/36 binary64)))))
(-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x))
(.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x)
(.f64 x (-.f64 (.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal 1/6 binary64)))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 27/64000 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/216 binary64)) x) (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/80 binary64) #s(literal 1/36 binary64))))
(/.f64 (.f64 x (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))) (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal 1/6 binary64)))
(/.f64 (.f64 x (-.f64 (.f64 #s(literal 27/64000 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/216 binary64))) (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/80 binary64) #s(literal 1/36 binary64))))
(.f64 (.f64 #s(literal 3/40 binary64) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 #s(literal 3/40 binary64) (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 #s(literal 3/40 binary64) x) x)
(.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 3/40 binary64)))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(literal 3/40 binary64)))
(.f64 #s(literal 3/40 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 3/40 binary64))
(.f64 x (.f64 #s(literal 3/40 binary64) x))
(.f64 (.f64 #s(literal 3/40 binary64) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 #s(literal 3/40 binary64) (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 #s(literal 3/40 binary64) x) x)
(.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 3/40 binary64)))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(literal 3/40 binary64)))
(.f64 #s(literal 3/40 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 3/40 binary64))
(.f64 x (.f64 #s(literal 3/40 binary64) x))

eval38.0ms (0.6%)

Memory: -7.9MiB live, 83.8MiB allocated; 7ms collecting garbage
Compiler: Compiled 7 479 to 996 computations (86.7% saved)

prune21.0ms (0.3%)

Memory

1.0MiB live, 48.3MiB allocated; 2ms collecting garbage

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	291	4	295
Fresh	1	1	2
Picked	3	2	5
Done	0	2	2
Total	295	9	304

Accuracy

100.0%

Counts

304 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	27.4%	(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
▶	32.1%	(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 x x)))
✓	99.8%	(asinh.f64 x)
▶	42.9%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (.f64 x x) x) #s(approx (- (* 3/40 (* x x)) 1/6) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))) x))
✓	41.2%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x))
▶	41.2%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (.f64 #s(literal -1/6 binary64) x) x) x x))
✓	41.2%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x))
▶	42.9%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (* (- (* (* x x) 3/40) 1/6) x) (.f64 (fma.f64 (.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x)) (*.f64 x x) x))
▶	42.9%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (.f64 (fma.f64 (.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x) x #s(literal 1 binary64)) x))

Compiler

Compiled 289 to 190 computations (34.3% saved)

simplify113.0ms (1.7%)

Memory

-6.7MiB live, 135.8MiB allocated; 13ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 x x)
cost-diff	0	#s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 x x))
cost-diff	0	(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 x x)))
cost-diff	0	(fma.f64 (.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x) x #s(literal 1 binary64))
cost-diff	0	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (.f64 (fma.f64 (.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x) x #s(literal 1 binary64)) x))
cost-diff	1	(-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64))
cost-diff	2	(.f64 (fma.f64 (.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x) x #s(literal 1 binary64)) x)
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 (.f64 (.f64 x x) x) #s(approx (- (* 3/40 (* x x)) 1/6) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))) x)
cost-diff	0	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (.f64 x x) x) #s(approx (- (* 3/40 (* x x)) 1/6) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))) x))
cost-diff	2	(.f64 (.f64 x x) x)
cost-diff	0	(*.f64 #s(literal -1/6 binary64) x)
cost-diff	0	(.f64 (.f64 #s(literal -1/6 binary64) x) x)
cost-diff	0	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (.f64 #s(literal -1/6 binary64) x) x) x x))
cost-diff	2	(fma.f64 (.f64 (.f64 #s(literal -1/6 binary64) x) x) x x)
cost-diff	0	(.f64 (fma.f64 (.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x)
cost-diff	0	#s(approx (* (- (* (* x x) 3/40) 1/6) x) (.f64 (fma.f64 (.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x))
cost-diff	0	(fma.f64 #s(approx (* (- (* (* x x) 3/40) 1/6) x) (.f64 (fma.f64 (.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x)) (*.f64 x x) x)
cost-diff	0	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (* (- (* (* x x) 3/40) 1/6) x) (.f64 (fma.f64 (.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x)) (*.f64 x x) x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	320
0	61	318
1	103	310
2	248	308
3	742	304
4	2232	299
5	5627	299
0	8197	289

Stop Event

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

Calls

Call 1

Inputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (* (- (* (* x x) 3/40) 1/6) x) (.f64 (fma.f64 (.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x)) (*.f64 x x) x))
(fma.f64 #s(approx (* (- (* (* x x) 3/40) 1/6) x) (.f64 (fma.f64 (.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x)) (*.f64 x x) x)
#s(approx (* (- (* (* x x) 3/40) 1/6) x) (.f64 (fma.f64 (.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x))
(.f64 (fma.f64 (.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))
(*.f64 x x)
x
#s(literal 3/40 binary64)
#s(literal -1/6 binary64)
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (.f64 #s(literal -1/6 binary64) x) x) x x))
(fma.f64 (.f64 (.f64 #s(literal -1/6 binary64) x) x) x x)
(.f64 (.f64 #s(literal -1/6 binary64) x) x)
(*.f64 #s(literal -1/6 binary64) x)
#s(literal -1/6 binary64)
x
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (.f64 x x) x) #s(approx (- (* 3/40 (* x x)) 1/6) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))) x))
(fma.f64 (.f64 (.f64 x x) x) #s(approx (- (* 3/40 (* x x)) 1/6) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))) x)
(.f64 (.f64 x x) x)
(*.f64 x x)
x
#s(approx (- (* 3/40 (* x x)) 1/6) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)))
(fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))
#s(literal 3/40 binary64)
#s(literal -1/6 binary64)
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (.f64 (fma.f64 (.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x) x #s(literal 1 binary64)) x))
(.f64 (fma.f64 (.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x) x #s(literal 1 binary64)) x)
(fma.f64 (.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x) x #s(literal 1 binary64))
(.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x)
(-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64))
(.f64 #s(literal 3/40 binary64) (.f64 x x))
#s(literal 3/40 binary64)
(*.f64 x x)
x
#s(literal 1/6 binary64)
#s(literal 1 binary64)
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 x x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 x x))
(+.f64 x x)
x

Outputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (* (- (* (* x x) 3/40) 1/6) x) (.f64 (fma.f64 (.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x)) (*.f64 x x) x))
(fma.f64 #s(approx (* (- (* (* x x) 3/40) 1/6) x) (.f64 (fma.f64 (.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x)) (*.f64 x x) x)
#s(approx (* (- (* (* x x) 3/40) 1/6) x) (.f64 (fma.f64 (.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x))
(.f64 (fma.f64 (.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))
(*.f64 x x)
x
#s(literal 3/40 binary64)
#s(literal -1/6 binary64)
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (.f64 #s(literal -1/6 binary64) x) x) x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))
(fma.f64 (.f64 (.f64 #s(literal -1/6 binary64) x) x) x x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(.f64 (.f64 #s(literal -1/6 binary64) x) x)
(*.f64 #s(literal -1/6 binary64) x)
#s(literal -1/6 binary64)
x
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (.f64 x x) x) #s(approx (- (* 3/40 (* x x)) 1/6) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (- (* 3/40 (* x x)) 1/6) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))) (pow.f64 x #s(literal 3 binary64)) x))
(fma.f64 (.f64 (.f64 x x) x) #s(approx (- (* 3/40 (* x x)) 1/6) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))) x)
(fma.f64 #s(approx (- (* 3/40 (* x x)) 1/6) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))) (pow.f64 x #s(literal 3 binary64)) x)
(.f64 (.f64 x x) x)
(pow.f64 x #s(literal 3 binary64))
(*.f64 x x)
x
#s(approx (- (* 3/40 (* x x)) 1/6) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)))
(fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))
#s(literal 3/40 binary64)
#s(literal -1/6 binary64)
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (.f64 (fma.f64 (.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x) x #s(literal 1 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x))
(.f64 (fma.f64 (.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x) x #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
(fma.f64 (.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x) x #s(literal 1 binary64))
(fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64))
(.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x)
(.f64 (fma.f64 (.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x)
(-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64))
(fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))
(.f64 #s(literal 3/40 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 3/40 binary64))
#s(literal 3/40 binary64)
(*.f64 x x)
x
#s(literal 1/6 binary64)
#s(literal 1 binary64)
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 x x)))
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 x x))
#s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x))
(+.f64 x x)
(*.f64 #s(literal 2 binary64) x)
x

localize262.0ms (4%)

Memory

65.7MiB live, 461.1MiB allocated; 137ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 x x)
accuracy	23.87323643453334	(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 x x)))
accuracy	42.493110484419645	#s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 x x))
accuracy	0.046875	(.f64 (fma.f64 (.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x) x #s(literal 1 binary64)) x)
accuracy	0.125	(.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x)
accuracy	0.14453125	(.f64 #s(literal 3/40 binary64) (.f64 x x))
accuracy	36.532652447567145	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (.f64 (fma.f64 (.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x) x #s(literal 1 binary64)) x))
accuracy	0.056972509768442016	(fma.f64 (.f64 (.f64 x x) x) #s(approx (- (* 3/40 (* x x)) 1/6) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))) x)
accuracy	0.09375	(fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))
accuracy	0.1328125	(.f64 (.f64 x x) x)
accuracy	36.532652447567145	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (.f64 x x) x) #s(approx (- (* 3/40 (* x x)) 1/6) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))) x))
accuracy	0.02734375	(fma.f64 (.f64 (.f64 #s(literal -1/6 binary64) x) x) x x)
accuracy	0.109375	(.f64 (.f64 #s(literal -1/6 binary64) x) x)
accuracy	0.29296875	(*.f64 #s(literal -1/6 binary64) x)
accuracy	37.63321551585353	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (.f64 #s(literal -1/6 binary64) x) x) x x))
accuracy	0.04296875	(fma.f64 #s(approx (* (- (* (* x x) 3/40) 1/6) x) (.f64 (fma.f64 (.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x)) (*.f64 x x) x)
accuracy	0.09375	(fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))
accuracy	0.125	(.f64 (fma.f64 (.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x)
accuracy	36.532652447567145	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (* (- (* (* x x) 3/40) 1/6) x) (.f64 (fma.f64 (.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x)) (*.f64 x x) x))

Samples

128.0ms	125×	1	valid
76.0ms	46×	2	valid
21.0ms	85×	0	valid

Compiler

Compiled 220 to 32 computations (85.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 179.0ms

ival-mult: 61.0ms (34.1% of total)

adjust: 39.0ms (21.8% of total)

const: 24.0ms (13.4% of total)

ival-add: 18.0ms (10.1% of total)

ival-log: 18.0ms (10.1% of total)

ival-hypot: 15.0ms (8.4% of total)

ival-sub: 4.0ms (2.2% of total)

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

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

exact: 0.0ms (0% of total)

series53.0ms (0.8%)

Memory

-27.3MiB live, 26.0MiB allocated; 56ms collecting garbage

Counts

22 → 49

Calls

Call 1

Inputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (* (- (* (* x x) 3/40) 1/6) x) (.f64 (fma.f64 (.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x)) (*.f64 x x) x))
(fma.f64 #s(approx (* (- (* (* x x) 3/40) 1/6) x) (.f64 (fma.f64 (.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x)) (*.f64 x x) x)
#s(approx (* (- (* (* x x) 3/40) 1/6) x) (.f64 (fma.f64 (.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x))
(.f64 (fma.f64 (.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x)
(fma.f64 (.f64 (.f64 #s(literal -1/6 binary64) x) x) x x)
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (.f64 #s(literal -1/6 binary64) x) x) x x))
(.f64 (.f64 #s(literal -1/6 binary64) x) x)
(*.f64 #s(literal -1/6 binary64) x)
(.f64 (.f64 x x) x)
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (.f64 x x) x) #s(approx (- (* 3/40 (* x x)) 1/6) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))) x))
(fma.f64 (.f64 (.f64 x x) x) #s(approx (- (* 3/40 (* x x)) 1/6) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))) x)
(*.f64 x x)
(.f64 (fma.f64 (.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x) x #s(literal 1 binary64)) x)
(-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (.f64 (fma.f64 (.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x) x #s(literal 1 binary64)) x))
(fma.f64 (.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x) x #s(literal 1 binary64))
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 x x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 x x))
(+.f64 x x)
(fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))
(.f64 #s(literal 3/40 binary64) (.f64 x x))
(.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x)

Outputs
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(* -1/6 x)
(* x (- (* 3/40 (pow x 2)) 1/6))
(* -1/6 (pow x 2))
(pow x 3)
(pow x 2)
-1/6
(- (* 3/40 (pow x 2)) 1/6)
1
(+ 1 (* -1/6 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))
(* 2 x)
(* 3/40 (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))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(* 3/40 (pow x 5))
(* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(* 3/40 (pow x 3))
(* (pow x 3) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* -1/6 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* 3/40 (pow x 4))
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(+ (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 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(/ -1/2 x)
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x))

Calls

3 calls:

Time

Variable

Point

Expression

47.0ms

inf

((log (+ x (sqrt (+ (* x x) 1)))) (+ (* (* (- (* (* x x) 3/40) 1/6) x) (* x x)) x) (* (- (* (* x x) 3/40) 1/6) x) (* (+ (* (* x x) 3/40) -1/6) x) (+ (* (* (* -1/6 x) x) x) x) (log (+ x (sqrt (+ (* x x) 1)))) (* (* -1/6 x) x) (* -1/6 x) (* (* x x) x) (log (+ x (sqrt (+ (* x x) 1)))) (+ (* (* (* x x) x) (- (* 3/40 (* x x)) 1/6)) x) (* x x) (* (+ (* (* (- (* 3/40 (* x x)) 1/6) x) x) 1) x) (- (* 3/40 (* x x)) 1/6) (log (+ x (sqrt (+ (* x x) 1)))) (+ (* (* (- (* 3/40 (* x x)) 1/6) x) x) 1) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (+ x x) (+ (* (* x x) 3/40) -1/6) (* 3/40 (* x x)) (* (- (* 3/40 (* x x)) 1/6) x))

3.0ms

-inf

((log (+ x (sqrt (+ (* x x) 1)))) (+ (* (* (- (* (* x x) 3/40) 1/6) x) (* x x)) x) (* (- (* (* x x) 3/40) 1/6) x) (* (+ (* (* x x) 3/40) -1/6) x) (+ (* (* (* -1/6 x) x) x) x) (log (+ x (sqrt (+ (* x x) 1)))) (* (* -1/6 x) x) (* -1/6 x) (* (* x x) x) (log (+ x (sqrt (+ (* x x) 1)))) (+ (* (* (* x x) x) (- (* 3/40 (* x x)) 1/6)) x) (* x x) (* (+ (* (* (- (* 3/40 (* x x)) 1/6) x) x) 1) x) (- (* 3/40 (* x x)) 1/6) (log (+ x (sqrt (+ (* x x) 1)))) (+ (* (* (- (* 3/40 (* x x)) 1/6) x) x) 1) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (+ x x) (+ (* (* x x) 3/40) -1/6) (* 3/40 (* x x)) (* (- (* 3/40 (* x x)) 1/6) x))

2.0ms

((log (+ x (sqrt (+ (* x x) 1)))) (+ (* (* (- (* (* x x) 3/40) 1/6) x) (* x x)) x) (* (- (* (* x x) 3/40) 1/6) x) (* (+ (* (* x x) 3/40) -1/6) x) (+ (* (* (* -1/6 x) x) x) x) (log (+ x (sqrt (+ (* x x) 1)))) (* (* -1/6 x) x) (* -1/6 x) (* (* x x) x) (log (+ x (sqrt (+ (* x x) 1)))) (+ (* (* (* x x) x) (- (* 3/40 (* x x)) 1/6)) x) (* x x) (* (+ (* (* (- (* 3/40 (* x x)) 1/6) x) x) 1) x) (- (* 3/40 (* x x)) 1/6) (log (+ x (sqrt (+ (* x x) 1)))) (+ (* (* (- (* 3/40 (* x x)) 1/6) x) x) 1) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (+ x x) (+ (* (* x x) 3/40) -1/6) (* 3/40 (* x x)) (* (- (* 3/40 (* x x)) 1/6) x))

simplify171.0ms (2.6%)

Memory

18.9MiB live, 258.8MiB allocated; 48ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	135	520
1	381	506
2	1166	505
3	5024	503
0	8180	487

Stop Event

1×	iter limit
1×	node limit

Counts

49 → 48

Calls

Call 1

Inputs
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(* -1/6 x)
(* x (- (* 3/40 (pow x 2)) 1/6))
(* -1/6 (pow x 2))
(pow x 3)
(pow x 2)
-1/6
(- (* 3/40 (pow x 2)) 1/6)
1
(+ 1 (* -1/6 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))
(* 2 x)
(* 3/40 (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))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(* 3/40 (pow x 5))
(* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(* 3/40 (pow x 3))
(* (pow x 3) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* -1/6 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* 3/40 (pow x 4))
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(+ (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 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(/ -1/2 x)
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x))

Outputs
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -5/112 binary64) (.f64 x x) #s(literal 3/40 binary64)) (.f64 x x) #s(literal -1/6 binary64)) x)
(* -1/6 x)
(*.f64 #s(literal -1/6 binary64) x)
(* x (- (* 3/40 (pow x 2)) 1/6))
(.f64 (fma.f64 (.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x)
(* -1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/6 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 2)
(*.f64 x x)
-1/6
#s(literal -1/6 binary64)
(- (* 3/40 (pow x 2)) 1/6)
(fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/6 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 x)
(-.f64 x #s(literal -1 binary64))
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 3/40 (pow x 2))
(.f64 (.f64 x x) #s(literal 3/40 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))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(-.f64 (-.f64 (+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(-.f64 (-.f64 (-.f64 (+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) (/.f64 #s(literal -5/96 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))
(* 3/40 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64))
(* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 3/40 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 3/40 binary64)) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* 3/40 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3/40 binary64))
(* (pow x 3) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 3/40 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 3 binary64)))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(.f64 (.f64 (-.f64 #s(literal 3/40 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) x) x)
(* 3/40 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3/40 binary64))
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 3/40 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 3/40 binary64)) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal -2 binary64)) x)
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal -2 binary64)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) x)
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(.f64 (-.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal -2 binary64)) (/.f64 #s(literal -1/2 binary64) (.f64 x x))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 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)) (log.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))
(- (+ (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 3/32 binary64) (pow.f64 x #s(literal 4 binary64)))) (log.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))
(- (+ (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 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64)))) (log.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal 6 binary64))))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 3/40 binary64))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))
(.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 3/40 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 3/40 binary64)))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 #s(literal 1/6 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(* -1 (/ (- 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 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))
(/.f64 (-.f64 #s(literal -1/2 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 (/ (- (+ 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 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))) (/.f64 #s(literal 5/128 binary64) (pow.f64 x #s(literal 6 binary64)))) x)

rewrite81.0ms (1.2%)

Memory

-1.5MiB live, 91.8MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	281
0	61	241
1	215	239
0	1500	237

Stop Event

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

Counts

22 → 217

Calls

Call 1

Inputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (* (- (* (* x x) 3/40) 1/6) x) (.f64 (fma.f64 (.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x)) (*.f64 x x) x))
(fma.f64 #s(approx (* (- (* (* x x) 3/40) 1/6) x) (.f64 (fma.f64 (.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x)) (*.f64 x x) x)
#s(approx (* (- (* (* x x) 3/40) 1/6) x) (.f64 (fma.f64 (.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x))
(.f64 (fma.f64 (.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x)
(fma.f64 (.f64 (.f64 #s(literal -1/6 binary64) x) x) x x)
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (.f64 #s(literal -1/6 binary64) x) x) x x))
(.f64 (.f64 #s(literal -1/6 binary64) x) x)
(*.f64 #s(literal -1/6 binary64) x)
(.f64 (.f64 x x) x)
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (.f64 x x) x) #s(approx (- (* 3/40 (* x x)) 1/6) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))) x))
(fma.f64 (.f64 (.f64 x x) x) #s(approx (- (* 3/40 (* x x)) 1/6) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))) x)
(*.f64 x x)
(.f64 (fma.f64 (.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x) x #s(literal 1 binary64)) x)
(-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (.f64 (fma.f64 (.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x) x #s(literal 1 binary64)) x))
(fma.f64 (.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x) x #s(literal 1 binary64))
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 x x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 x x))
(+.f64 x x)
(fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))
(.f64 #s(literal 3/40 binary64) (.f64 x x))
(.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x)

Outputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (* (- (* (* x x) 3/40) 1/6) x) (.f64 (fma.f64 (.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x)) (*.f64 x x) x))
(.f64 (fma.f64 #s(approx ( (- (* (* x x) 3/40) 1/6) x) (.f64 (fma.f64 (.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x)) x #s(literal 1 binary64)) x)
(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 #s(approx (* (- (* (* x x) 3/40) 1/6) x) (.f64 (fma.f64 (.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x)) (.f64 x x)) #s(literal 2 binary64))) (-.f64 x (.f64 #s(approx (* (- (* (* x x) 3/40) 1/6) x) (.f64 (fma.f64 (.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x)) (*.f64 x x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(approx ( (- (* (* x x) 3/40) 1/6) x) (.f64 (fma.f64 (.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x)) (.f64 x x)) #s(literal 2 binary64)) (.f64 x x))) (neg.f64 (-.f64 (.f64 #s(approx ( (- (* (* x x) 3/40) 1/6) x) (.f64 (fma.f64 (.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x)) (*.f64 x x)) x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 #s(approx (* (- (* (* x x) 3/40) 1/6) x) (.f64 (fma.f64 (.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (.f64 #s(approx ( (- (* (* x x) 3/40) 1/6) x) (.f64 (fma.f64 (.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x)) (.f64 x x))) (pow.f64 (.f64 #s(approx (* (- (* (* x x) 3/40) 1/6) x) (.f64 (fma.f64 (.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x)) (*.f64 x x)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(approx ( (- (* (* x x) 3/40) 1/6) x) (.f64 (fma.f64 (.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x)) (.f64 x x)) #s(literal 2 binary64)) (.f64 x x)) (-.f64 (.f64 #s(approx ( (- (* (* x x) 3/40) 1/6) x) (.f64 (fma.f64 (.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x)) (*.f64 x x)) x))
(/.f64 (fma.f64 (pow.f64 #s(approx (* (- (* (* x x) 3/40) 1/6) x) (.f64 (fma.f64 (.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (.f64 #s(approx ( (- (* (* x x) 3/40) 1/6) x) (.f64 (fma.f64 (.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x)) (.f64 x x)) #s(literal 2 binary64)) (.f64 #s(approx (* (- (* (* x x) 3/40) 1/6) x) (.f64 (fma.f64 (.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x)) (pow.f64 x #s(literal 3 binary64))))))
(/.f64 (fma.f64 (pow.f64 #s(approx (* (- (* (* x x) 3/40) 1/6) x) (.f64 (fma.f64 (.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (.f64 #s(approx ( (- (* (* x x) 3/40) 1/6) x) (.f64 (fma.f64 (.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x)) (.f64 x x))) (pow.f64 (.f64 #s(approx (* (- (* (* x x) 3/40) 1/6) x) (.f64 (fma.f64 (.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x)) (*.f64 x x)) #s(literal 2 binary64))))
(fma.f64 (.f64 #s(approx ( (- (* (* x x) 3/40) 1/6) x) (.f64 (fma.f64 (.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x)) (neg.f64 x)) (neg.f64 x) x)
(fma.f64 (.f64 #s(approx ( (- (* (* x x) 3/40) 1/6) x) (.f64 (fma.f64 (.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x)) (fabs.f64 x)) (fabs.f64 x) x)
(fma.f64 (.f64 #s(approx ( (- (* (* x x) 3/40) 1/6) x) (.f64 (fma.f64 (.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x)) x) x x)
(fma.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(approx ( (- (* (* x x) 3/40) 1/6) x) (.f64 (fma.f64 (.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x))) x)
(fma.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(approx ( (- (* (* x x) 3/40) 1/6) x) (.f64 (fma.f64 (.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x))) x)
(fma.f64 #s(approx (* (- (* (* x x) 3/40) 1/6) x) (.f64 (fma.f64 (.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x)) (*.f64 x x) x)
(fma.f64 (.f64 x x) #s(approx ( (- (* (* x x) 3/40) 1/6) x) (.f64 (fma.f64 (.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x)) x)
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(/.f64 (.f64 (fma.f64 (pow.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) x) (+.f64 (-.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (.f64 x x))) (pow.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (*.f64 x x)) #s(literal 2 binary64))))
(/.f64 (.f64 x (-.f64 (pow.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (.f64 x x)) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal -1 binary64)))
(/.f64 (.f64 x (fma.f64 (pow.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (.f64 x x))) (pow.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (*.f64 x x)) #s(literal 2 binary64))))
(fma.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (.f64 x x)) x (*.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal 1 binary64) x (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (*.f64 x x)) x))
(fma.f64 x (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (.f64 x x)) (*.f64 x #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) (.f64 x (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (*.f64 x x))))
(+.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (.f64 x x)) x) (.f64 #s(literal 1 binary64) x))
(+.f64 (.f64 #s(literal 1 binary64) x) (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (.f64 x x)) x))
(+.f64 (.f64 x (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (.f64 x x))) (.f64 x #s(literal 1 binary64)))
(+.f64 (.f64 x #s(literal 1 binary64)) (.f64 x (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (.f64 x x))))
(/.f64 (neg.f64 (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal 1/6 binary64))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 27/64000 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/216 binary64))) (neg.f64 (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal 1/80 binary64) #s(literal 1/36 binary64)))))
(/.f64 (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal 1/6 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 27/64000 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/216 binary64)) (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal 1/80 binary64) #s(literal 1/36 binary64))))
(-.f64 (/.f64 (.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (.f64 x x) #s(literal 3/40 binary64) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal 1/6 binary64))))
(-.f64 (/.f64 (.f64 #s(literal 27/64000 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal 1/80 binary64) #s(literal 1/36 binary64)))) (/.f64 #s(literal 1/216 binary64) (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/80 binary64) #s(literal 1/36 binary64)))))
(-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (.f64 (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (.f64 x x)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (.f64 x x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (.f64 x x)) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal -1 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (.f64 x x))) (pow.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (.f64 x x)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (.f64 x x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal -1 binary64)))
(/.f64 (fma.f64 (pow.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (.f64 x x)) #s(literal 2 binary64)) (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (.f64 x x)))))
(/.f64 (fma.f64 (pow.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (.f64 x x))) (pow.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (.f64 x x)) #s(literal 2 binary64))))
(fma.f64 (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (neg.f64 x)) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (fabs.f64 x)) (fabs.f64 x) #s(literal 1 binary64))
(fma.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (.f64 x x)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) x) (.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) x) x #s(literal 1 binary64))
(fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (.f64 x x)) #s(literal 1 binary64))
(fma.f64 x (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 x (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) x) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (.f64 x x)) #s(literal 2 binary64)) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal -1 binary64))))
(-.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (.f64 x x)) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) x)) x))
(-.f64 #s(literal 1 binary64) (.f64 (neg.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64))) (.f64 x x)))
(-.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) x)))
(+.f64 (/.f64 (pow.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (.f64 x x)) #s(literal 3 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (.f64 x x))) (pow.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (.f64 x x)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (.f64 x x))) (pow.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (.f64 x x)) #s(literal 2 binary64)))))
(+.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (.f64 x x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (.f64 x 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)
(*.f64 x #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(-.f64 (/.f64 (.f64 x x) #s(literal 0 binary64)) (/.f64 (.f64 x x) #s(literal 0 binary64)))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64))))
(+.f64 x x)
(/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) #s(literal 3/40 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 27/64000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64))) (neg.f64 (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/80 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))) (neg.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal -1/6 binary64))))
(/.f64 (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))
(/.f64 (fma.f64 #s(literal 27/64000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (-.f64 (.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (*.f64 x x) #s(literal -1/80 binary64)))))
(/.f64 (fma.f64 #s(literal 27/64000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64)) (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/80 binary64)))))
(fma.f64 (*.f64 #s(literal 3/40 binary64) (neg.f64 x)) (neg.f64 x) #s(literal -1/6 binary64))
(fma.f64 (*.f64 #s(literal 3/40 binary64) (fabs.f64 x)) (fabs.f64 x) #s(literal -1/6 binary64))
(fma.f64 (*.f64 #s(literal 3/40 binary64) x) x #s(literal -1/6 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 3/40 binary64)) #s(literal -1/6 binary64))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 3/40 binary64)) #s(literal -1/6 binary64))
(fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))
(fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))
(fma.f64 x (*.f64 #s(literal 3/40 binary64) x) #s(literal -1/6 binary64))
(-.f64 (/.f64 (.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (-.f64 (.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal -1/6 binary64))))
(-.f64 #s(literal -1/6 binary64) (.f64 (neg.f64 (.f64 #s(literal 3/40 binary64) x)) x))
(-.f64 #s(literal -1/6 binary64) (.f64 (neg.f64 (.f64 x x)) #s(literal 3/40 binary64)))
(-.f64 #s(literal -1/6 binary64) (.f64 #s(literal -3/40 binary64) (.f64 x x)))
(-.f64 #s(literal -1/6 binary64) (.f64 (neg.f64 x) (.f64 #s(literal 3/40 binary64) x)))
(+.f64 (/.f64 (.f64 #s(literal 27/64000 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/80 binary64))))) (/.f64 #s(literal -1/216 binary64) (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (.f64 (*.f64 x x) #s(literal -1/80 binary64))))))
(+.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal -1/6 binary64))
(+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) #s(literal 3/40 binary64)))
(.f64 (.f64 #s(literal 3/40 binary64) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 #s(literal 3/40 binary64) (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 #s(literal 3/40 binary64) x) x)
(.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 3/40 binary64)))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(literal 3/40 binary64)))
(.f64 (.f64 x x) #s(literal 3/40 binary64))
(.f64 #s(literal 3/40 binary64) (.f64 x x))
(.f64 x (.f64 #s(literal 3/40 binary64) x))
(.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) x)
(.f64 x (-.f64 (.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) (fma.f64 (.f64 x x) #s(literal 3/40 binary64) #s(literal 1/6 binary64)))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 27/64000 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/216 binary64)) x) (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/80 binary64) #s(literal 1/36 binary64))))
(/.f64 (.f64 x (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))) (fma.f64 (.f64 x x) #s(literal 3/40 binary64) #s(literal 1/6 binary64)))
(/.f64 (.f64 x (-.f64 (.f64 #s(literal 27/64000 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/216 binary64))) (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/80 binary64) #s(literal 1/36 binary64))))

eval91.0ms (1.4%)

Memory: 5.1MiB live, 101.7MiB allocated; 12ms collecting garbage
Compiler: Compiled 12 759 to 1 523 computations (88.1% saved)

prune58.0ms (0.9%)

Memory

-12.7MiB live, 33.9MiB allocated; 3ms collecting garbage

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	376	2	378
Fresh	0	0	0
Picked	4	1	5
Done	1	3	4
Total	381	6	387

Accuracy

100.0%

Counts

387 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	27.4%	(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
✓	32.1%	(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 x x)))
✓	99.8%	(asinh.f64 x)
✓	41.2%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x))
	42.9%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (.f64 (fma.f64 (.f64 #s(approx (- (* 3/40 (* x x)) 1/6) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))) x) x #s(literal 1 binary64)) x))
	43.7%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (.f64 #s(approx (+ ( (* (- (* 3/40 (* x x)) 1/6) x) x) 1) #s(literal 1 binary64)) x))

Compiler

Compiled 482 to 160 computations (66.8% saved)

regimes29.0ms (0.4%)

Memory

-2.2MiB live, 43.3MiB allocated; 5ms collecting garbage

Counts

19 → 1

Calls

Call 1

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

Outputs
(asinh.f64 x)

Calls

3 calls:

13.0ms	(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
9.0ms	(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
6.0ms	x

Results

Accuracy	Segments	Branch
99.8%	1	`(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))`
99.8%	1	`(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))`
99.8%	1	`x`

Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes10.0ms (0.2%)

Memory

21.9MiB live, 21.9MiB allocated; 0ms collecting garbage

Accuracy

Total -1.8b remaining (-4.9%)

Threshold costs -1.8b (-4.9%)

Counts

12 → 1

Calls

Call 1

Inputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (.f64 #s(approx (+ ( (* (- (* 3/40 (* x x)) 1/6) x) x) 1) #s(literal 1 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (.f64 #s(literal -1/6 binary64) x) x) x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (.f64 (fma.f64 (.f64 #s(approx (- (* 3/40 (* x x)) 1/6) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))) x) x #s(literal 1 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (* (- (* (* x x) 3/40) 1/6) x) (.f64 (fma.f64 (.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x)) (*.f64 x x) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (.f64 x x) x) #s(approx (- (* 3/40 (* x x)) 1/6) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (.f64 (fma.f64 (.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x) x #s(literal 1 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (.f64 x x) x) (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) x) (.f64 x x) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (.f64 x x)) x x))

Outputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (.f64 #s(approx (+ ( (* (- (* 3/40 (* x x)) 1/6) x) x) 1) #s(literal 1 binary64)) x))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
43.7%	1	`(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))`
43.7%	1	`(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))`
43.7%	1	`x`

Compiler

Compiled 18 to 14 computations (22.2% saved)

simplify154.0ms (2.4%)

Memory

-31.8MiB live, 70.1MiB allocated; 77ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	29
1	33	29
2	79	29
3	195	29
4	338	29
5	606	29
6	3264	29
7	6643	29

Stop Event

1×	node limit

Calls

Call 1

Inputs
(asinh.f64 x)
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (.f64 #s(approx (+ ( (* (- (* 3/40 (* x x)) 1/6) x) x) 1) #s(literal 1 binary64)) x))

Outputs
(asinh.f64 x)
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (.f64 #s(approx (+ ( (* (- (* 3/40 (* x x)) 1/6) x) x) 1) #s(literal 1 binary64)) x))

derivations485.0ms (7.5%)

Memory

52.5MiB live, 319.8MiB allocated; 54ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	135	520
1	381	506
2	1166	505
3	5024	503
0	8180	487
0	7	31
0	12	18
1	51	18
0	391	17
0	29	203
0	48	146
1	203	146
0	1077	146
0	28	129
0	41	103
1	131	103
0	927	103
0	125	448
1	384	440
2	1236	430
3	5922	430
0	8517	410

Stop Event

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

Compiler

Compiled 29 to 19 computations (34.5% saved)

preprocess71.0ms (1.1%)

Memory: -9.5MiB live, 88.0MiB allocated; 22ms collecting garbage
Compiler: Compiled 124 to 80 computations (35.5% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze125.0ms (1.9%)

sample2.4s (37.3%)

explain261.0ms (4%)

preprocess225.0ms (3.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify147.0ms (2.3%)

localize102.0ms (1.6%)

series5.0ms (0.1%)

simplify228.0ms (3.5%)

rewrite89.0ms (1.4%)

eval45.0ms (0.7%)

prune5.0ms (0.1%)

simplify148.0ms (2.3%)

localize131.0ms (2%)

series8.0ms (0.1%)

simplify153.0ms (2.4%)

rewrite64.0ms (1%)

eval43.0ms (0.7%)

prune8.0ms (0.1%)

simplify130.0ms (2%)

localize207.0ms (3.2%)

series60.0ms (0.9%)

simplify145.0ms (2.2%)

rewrite97.0ms (1.5%)

eval38.0ms (0.6%)

prune21.0ms (0.3%)

simplify113.0ms (1.7%)

localize262.0ms (4%)

series53.0ms (0.8%)

simplify171.0ms (2.6%)

rewrite81.0ms (1.2%)

eval91.0ms (1.4%)

prune58.0ms (0.9%)

regimes29.0ms (0.4%)

regimes10.0ms (0.2%)

simplify154.0ms (2.4%)

derivations485.0ms (7.5%)

preprocess71.0ms (1.1%)

end0.0ms (0%)

Profiling