Metrics for bug500, discussion (missed optimization)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze103.0ms (1%)

Memory

-6.6MiB live, 150.5MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
25%	25%	75%	0%	0%	0%	0%	3
37.5%	37.5%	62.5%	0%	0%	0%	0%	4
43.8%	43.7%	56.2%	0%	0%	0%	0%	5
46.9%	46.9%	53.1%	0%	0%	0%	0%	6
48.4%	48.4%	51.5%	0%	0%	0%	0%	7
49.2%	49.2%	50.8%	0%	0%	0%	0%	8
50.4%	50.4%	49.6%	0%	0%	0%	0%	9
51%	51%	49%	0%	0%	0%	0%	10
51.3%	51.2%	48.7%	0%	0%	0%	0%	11
51.3%	51.3%	48.7%	0%	0%	0%	0%	12

Compiler

Compiled 7 to 6 computations (14.3% saved)

sample4.1s (41.1%)

Memory

-127.9MiB live, 3 391.8MiB allocated

Samples

2.1s	5 553×	2	valid
969.0ms	7 694×	1	exit
378.0ms	2 409×	1	valid
21.0ms	294×	0	valid
1.0ms	1×	5	exit

Precisions

Click to see histograms. Total time spent on operations: 2.5s

ival-log: 1.2s (47.7% of total)

ival-sinh: 801.0ms (32% of total)

ival-div: 278.0ms (11.1% of total)

adjust: 210.0ms (8.4% of total)

ival-true: 14.0ms (0.6% of total)

ival-assert: 7.0ms (0.3% of total)

Bogosity

explain191.0ms (1.9%)

Memory

20.4MiB live, 178.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
145	108	(-9.179185594343992e-207)	-	`(log.f64 (/.f64 (sinh.f64 x) x))`
0	0	-	-	`(sinh.f64 x)`
0	0	-	-	`(/.f64 (sinh.f64 x) x)`
0	0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`log.f64`	`(log.f64 (/.f64 (sinh.f64 x) x))`	sensitivity	250	0
`log.f64`	`(log.f64 (/.f64 (sinh.f64 x) x))`	oflow-rescue	3	0
↳	`(sinh.f64 x)`	overflow	3
↳	`(/.f64 (sinh.f64 x) x)`	overflow	3

Confusion

	Predicted +	Predicted -
+	145	0
-	108	3

Precision

0.5731225296442688

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	145	0	0
-	108	0	3

Precision?

0.5731225296442688

Recall?

1.0

Freqs

test

number	freq
0	3
1	253

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

126.0ms	344×	2	valid
23.0ms	148×	1	valid
1.0ms	20×	0	valid

Compiler

Compiled 33 to 16 computations (51.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 125.0ms

ival-log: 66.0ms (52.8% of total)

ival-sinh: 40.0ms (32% of total)

ival-div: 11.0ms (8.8% of total)

adjust: 8.0ms (6.4% of total)

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

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

preprocess163.0ms (1.6%)

Memory

-7.2MiB live, 68.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
1	20	15
2	53	15
3	148	15
4	447	15
5	1377	15
6	2491	15
7	3026	15
8	3344	15
9	3382	15
10	3384	15
11	3384	15
0	4	5
0	7	5
1	13	5
2	26	5
3	52	5
4	93	5
5	178	5
6	375	5
7	652	5
8	1136	5
9	1871	5
10	1979	5
11	2042	5
12	2215	5
13	2435	5
14	2509	5
15	2545	5
16	2545	5
17	2569	5
0	2569	5

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(log.f64 (/.f64 (sinh.f64 x) x))

Outputs
(log.f64 (/.f64 (sinh.f64 x) x))

Compiler

Compiled 5 to 4 computations (20% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	49.0%	(log.f64 (/.f64 (sinh.f64 x) x))

Compiler

Compiled 5 to 4 computations (20% saved)

simplify110.0ms (1.1%)

Memory

16.9MiB live, 55.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(sinh.f64 x)
cost-diff	0	(/.f64 (sinh.f64 x) x)
cost-diff	0	(log.f64 (/.f64 (sinh.f64 x) x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	12
0	7	12
1	13	12
2	26	12
3	52	12
4	93	12
5	178	12
6	375	12
7	652	12
8	1136	12
9	1871	12
10	1979	12
11	2042	12
12	2215	12
13	2435	12
14	2509	12
15	2545	12
16	2545	12
17	2569	12
0	2569	12

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(log.f64 (/.f64 (sinh.f64 x) x))
(/.f64 (sinh.f64 x) x)
(sinh.f64 x)
x

Outputs
(log.f64 (/.f64 (sinh.f64 x) x))
(/.f64 (sinh.f64 x) x)
(sinh.f64 x)
x

localize142.0ms (1.4%)

Memory

-0.3MiB live, 79.3MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(/.f64 (sinh.f64 x) x)
accuracy	0.0078125	(sinh.f64 x)
accuracy	32.646853859277364	(log.f64 (/.f64 (sinh.f64 x) x))

Samples

124.0ms	172×	2	valid
10.0ms	74×	1	valid
1.0ms	10×	0	valid

Compiler

Compiled 14 to 6 computations (57.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 114.0ms

ival-log: 68.0ms (59.7% of total)

ival-div: 21.0ms (18.4% of total)

ival-sinh: 20.0ms (17.6% of total)

adjust: 4.0ms (3.5% of total)

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

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

series72.0ms (0.7%)

Memory

-23.7MiB live, 96.6MiB allocated

Counts

3 → 16

Calls

Call 1

Inputs
(log.f64 (/.f64 (sinh.f64 x) x))
(/.f64 (sinh.f64 x) x)
(sinh.f64 x)

Outputs
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
1
(+ 1 (* 1/6 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))

Calls

3 calls:

Time	Variable		Point	Expression
35.0ms	x	@	inf	((log (/ (sinh x) x)) (/ (sinh x) x) (sinh x))
35.0ms	x	@	-inf	((log (/ (sinh x) x)) (/ (sinh x) x) (sinh x))
2.0ms	x	@	0	((log (/ (sinh x) x)) (/ (sinh x) x) (sinh x))

simplify185.0ms (1.8%)

Memory

15.8MiB live, 179.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	187
1	157	186
2	395	180
3	1187	180
4	2108	180
5	3940	180
6	4560	179
7	4959	179
8	6431	179
0	8054	161

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 15

Calls

Call 1

Inputs
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
1
(+ 1 (* 1/6 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))

Outputs
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(.f64 (.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #s(literal 1/2835 binary64)) (.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
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) (+ 1/6 (* 1/120 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.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) (+ 1/6 (* 1/120 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(fma.f64 (pow.f64 x #s(literal 5 binary64)) (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))) (log.f64 x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(-.f64 (log.f64 (fma.f64 #s(literal -1/2 binary64) (exp.f64 x) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) (log.f64 (neg.f64 x)))

rewrite132.0ms (1.3%)

Memory

-0.3MiB live, 76.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	11
0	7	11
1	23	11
2	124	11
3	931	11
0	8560	11

Stop Event

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

Counts

3 → 444

Calls

Call 1

Inputs
(log.f64 (/.f64 (sinh.f64 x) x))
(/.f64 (sinh.f64 x) x)
(sinh.f64 x)

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

eval62.0ms (0.6%)

Memory: 16.3MiB live, 53.7MiB allocated
Compiler: Compiled 8 848 to 1 621 computations (81.7% saved)

prune36.0ms (0.4%)

Memory

-20.1MiB live, 23.9MiB allocated

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	452	7	459
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	452	8	460

Accuracy

98.8%

Counts

460 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	49.0%	(log.f64 (/.f64 (sinh.f64 x) x))
	48.2%	(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))))
	48.0%	(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64))))
▶	47.8%	(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))))
▶	97.3%	#s(approx (log (/ (sinh x) x)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #s(literal 1/2835 binary64)) (.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
▶	97.5%	#s(approx (log (/ (sinh x) x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))
▶	97.1%	#s(approx (log (/ (sinh x) x)) (.f64 (.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
▶	96.9%	#s(approx (log (/ (sinh x) x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))

Compiler

Compiled 255 to 164 computations (35.7% saved)

simplify192.0ms (1.9%)

Memory

4.4MiB live, 81.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))
cost-diff	0	(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))))
cost-diff	0	(fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #s(literal 1/2835 binary64)) (.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
cost-diff	0	(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #s(literal 1/2835 binary64)) (.f64 x x) #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x)
cost-diff	0	(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #s(literal 1/2835 binary64)) (.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
cost-diff	0	#s(approx (log (/ (sinh x) x)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #s(literal 1/2835 binary64)) (.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
cost-diff	0	(fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))
cost-diff	0	(.f64 (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64)) x)
cost-diff	0	(.f64 (.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
cost-diff	0	#s(approx (log (/ (sinh x) x)) (.f64 (.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 (.f64 x x) #s(literal 1/6 binary64))
cost-diff	0	#s(approx (log (/ (sinh x) x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
cost-diff	0	(fma.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64))
cost-diff	0	(.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
cost-diff	0	(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)
cost-diff	0	#s(approx (log (/ (sinh x) x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	280
0	52	280
1	97	280
2	174	280
3	393	280
4	879	280
5	1482	280
6	1906	280
7	2412	280
8	2905	280
9	3507	280
10	3701	280
11	4020	280
12	6735	280
0	8202	280

Stop Event

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

Calls

Call 1

Inputs
#s(approx (log (/ (sinh x) x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)
(.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64))
(fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64))
#s(literal 1/2835 binary64)
(*.f64 x x)
x
#s(literal -1/180 binary64)
#s(literal 1/6 binary64)
#s(approx (log (/ (sinh x) x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(*.f64 x x)
x
#s(literal 1/6 binary64)
#s(approx (log (/ (sinh x) x)) (.f64 (.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(.f64 (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))
#s(literal -1/180 binary64)
(*.f64 x x)
x
#s(literal 1/6 binary64)
#s(approx (log (/ (sinh x) x)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #s(literal 1/2835 binary64)) (.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #s(literal 1/2835 binary64)) (.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #s(literal 1/2835 binary64)) (.f64 x x) #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #s(literal 1/2835 binary64)) (.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(fma.f64 (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #s(literal 1/2835 binary64)) (.f64 x x) #s(literal -1/180 binary64))
(fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64))
#s(literal -1/37800 binary64)
(*.f64 x x)
x
#s(literal 1/2835 binary64)
#s(literal -1/180 binary64)
#s(literal 1/6 binary64)
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))))
#s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))
(*.f64 x x)
x
#s(literal 1/6 binary64)
#s(literal 1 binary64)

Outputs
#s(approx (log (/ (sinh x) x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (log (/ (sinh x) x)) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)
(.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)
(.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64))
(fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))
#s(literal 1/2835 binary64)
(*.f64 x x)
x
#s(literal -1/180 binary64)
#s(literal 1/6 binary64)
#s(approx (log (/ (sinh x) x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (log (/ (sinh x) x)) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(*.f64 x x)
x
#s(literal 1/6 binary64)
#s(approx (log (/ (sinh x) x)) (.f64 (.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(.f64 (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))
#s(literal -1/180 binary64)
(*.f64 x x)
x
#s(literal 1/6 binary64)
#s(approx (log (/ (sinh x) x)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #s(literal 1/2835 binary64)) (.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #s(literal 1/2835 binary64)) (.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #s(literal 1/2835 binary64)) (.f64 x x) #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #s(literal 1/2835 binary64)) (.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(fma.f64 (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #s(literal 1/2835 binary64)) (.f64 x x) #s(literal -1/180 binary64))
(fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64))
#s(literal -1/37800 binary64)
(*.f64 x x)
x
#s(literal 1/2835 binary64)
#s(literal -1/180 binary64)
#s(literal 1/6 binary64)
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))
#s(approx (/ (sinh x) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
x
#s(literal 1/6 binary64)
#s(literal 1 binary64)

localize308.0ms (3.1%)

Memory

26.8MiB live, 181.6MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x x)
accuracy	0.01171875	(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))
accuracy	1.5687165834006551	#s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))
accuracy	32.646853859277364	(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))))
accuracy	0.01953125	(fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64))
accuracy	0.171875	(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #s(literal 1/2835 binary64)) (.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
accuracy	0.3515625	(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #s(literal 1/2835 binary64)) (.f64 x x) #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x)
accuracy	1.4888596925877025	#s(approx (log (/ (sinh x) x)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #s(literal 1/2835 binary64)) (.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
accuracy	0.02734375	(fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))
accuracy	0.171875	(.f64 (.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
accuracy	0.3515625	(.f64 (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64)) x)
accuracy	1.6550120780312363	#s(approx (log (/ (sinh x) x)) (.f64 (.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
accuracy	0.0	(*.f64 x x)
accuracy	0.203125	(.f64 (.f64 x x) #s(literal 1/6 binary64))
accuracy	1.773744829291065	#s(approx (log (/ (sinh x) x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
accuracy	0.02734375	(fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64))
accuracy	0.18359375	(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)
accuracy	0.3515625	(.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
accuracy	1.3939872654324414	#s(approx (log (/ (sinh x) x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))

Samples

237.0ms	172×	2	valid
41.0ms	74×	1	valid
3.0ms	10×	0	valid

Compiler

Compiled 237 to 32 computations (86.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 223.0ms

ival-sinh: 56.0ms (25.1% of total)

ival-log: 45.0ms (20.2% of total)

adjust: 44.0ms (19.7% of total)

ival-mult: 36.0ms (16.2% of total)

const: 21.0ms (9.4% of total)

ival-add: 14.0ms (6.3% of total)

ival-div: 6.0ms (2.7% of total)

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

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

exact: 0.0ms (0% of total)

series78.0ms (0.8%)

Memory

-1.0MiB live, 36.5MiB allocated

Counts

20 → 62

Calls

Call 1

Inputs
#s(approx (log (/ (sinh x) x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)
(.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64))
#s(approx (log (/ (sinh x) x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(*.f64 x x)
#s(approx (log (/ (sinh x) x)) (.f64 (.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(.f64 (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))
#s(approx (log (/ (sinh x) x)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #s(literal 1/2835 binary64)) (.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #s(literal 1/2835 binary64)) (.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #s(literal 1/2835 binary64)) (.f64 x x) #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #s(literal 1/2835 binary64)) (.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))))
#s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64))
(fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64))

Outputs
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(* 1/6 x)
(* x (+ 1/6 (* -1/180 (pow x 2))))
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
1/6
(+ 1/6 (* -1/180 (pow x 2)))
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))
(pow x 2)
(* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))
1
(+ 1 (* 1/6 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))
-1/180
(- (* 1/2835 (pow x 2)) 1/180)
1/2835
(+ 1/2835 (* -1/37800 (pow x 2)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(* 1/2835 (pow x 6))
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* 1/2835 (pow x 5))
(* (pow x 5) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* 1/2835 (pow x 4))
(* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* -1/180 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* -1/180 (pow x 3))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* -1/180 (pow x 2))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* -1/37800 (pow x 8))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* (pow x 8) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* -1/37800 (pow x 7))
(* (pow x 7) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 7) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* (pow x 7) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* -1/37800 (pow x 6))
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* (pow x 6) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))
(* 1/2835 (pow x 2))
(* (pow x 2) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* -1/37800 (pow x 2))
(* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4))))))
(* -1 (* (pow x 3) (- 1/180 (* 1/6 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- 1/37800 (* 1/2835 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 1/37800 (/ 1/180 (pow x 4))) (* 1/2835 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 1/37800 (/ 1/180 (pow x 4))) (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))))

Calls

3 calls:

Time	Variable		Point	Expression
57.0ms	x	@	0	((log (/ (sinh x) x)) (* (* (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) x) x) (* (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) x) (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) (log (/ (sinh x) x)) (* (* x x) 1/6) (* x x) (log (/ (sinh x) x)) (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (* (+ (* -1/180 (* x x)) 1/6) x) (+ (* -1/180 (* x x)) 1/6) (log (/ (sinh x) x)) (* (* (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) x) x) (* (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) x) (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) (log (/ (sinh x) x)) (/ (sinh x) x) (+ (* (* x x) 1/6) 1) (+ (* 1/2835 (* x x)) -1/180) (+ (* -1/37800 (* x x)) 1/2835))
10.0ms	x	@	inf	((log (/ (sinh x) x)) (* (* (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) x) x) (* (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) x) (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) (log (/ (sinh x) x)) (* (* x x) 1/6) (* x x) (log (/ (sinh x) x)) (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (* (+ (* -1/180 (* x x)) 1/6) x) (+ (* -1/180 (* x x)) 1/6) (log (/ (sinh x) x)) (* (* (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) x) x) (* (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) x) (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) (log (/ (sinh x) x)) (/ (sinh x) x) (+ (* (* x x) 1/6) 1) (+ (* 1/2835 (* x x)) -1/180) (+ (* -1/37800 (* x x)) 1/2835))
10.0ms	x	@	-inf	((log (/ (sinh x) x)) (* (* (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) x) x) (* (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) x) (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) (log (/ (sinh x) x)) (* (* x x) 1/6) (* x x) (log (/ (sinh x) x)) (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (* (+ (* -1/180 (* x x)) 1/6) x) (+ (* -1/180 (* x x)) 1/6) (log (/ (sinh x) x)) (* (* (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) x) x) (* (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) x) (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) (log (/ (sinh x) x)) (/ (sinh x) x) (+ (* (* x x) 1/6) 1) (+ (* 1/2835 (* x x)) -1/180) (+ (* -1/37800 (* x x)) 1/2835))

Time

Variable

Point

Expression

57.0ms

((log (/ (sinh x) x)) (* (* (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) x) x) (* (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) x) (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) (log (/ (sinh x) x)) (* (* x x) 1/6) (* x x) (log (/ (sinh x) x)) (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (* (+ (* -1/180 (* x x)) 1/6) x) (+ (* -1/180 (* x x)) 1/6) (log (/ (sinh x) x)) (* (* (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) x) x) (* (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) x) (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) (log (/ (sinh x) x)) (/ (sinh x) x) (+ (* (* x x) 1/6) 1) (+ (* 1/2835 (* x x)) -1/180) (+ (* -1/37800 (* x x)) 1/2835))

10.0ms

inf

((log (/ (sinh x) x)) (* (* (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) x) x) (* (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) x) (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) (log (/ (sinh x) x)) (* (* x x) 1/6) (* x x) (log (/ (sinh x) x)) (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (* (+ (* -1/180 (* x x)) 1/6) x) (+ (* -1/180 (* x x)) 1/6) (log (/ (sinh x) x)) (* (* (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) x) x) (* (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) x) (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) (log (/ (sinh x) x)) (/ (sinh x) x) (+ (* (* x x) 1/6) 1) (+ (* 1/2835 (* x x)) -1/180) (+ (* -1/37800 (* x x)) 1/2835))

10.0ms

-inf

((log (/ (sinh x) x)) (* (* (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) x) x) (* (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) x) (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) (log (/ (sinh x) x)) (* (* x x) 1/6) (* x x) (log (/ (sinh x) x)) (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (* (+ (* -1/180 (* x x)) 1/6) x) (+ (* -1/180 (* x x)) 1/6) (log (/ (sinh x) x)) (* (* (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) x) x) (* (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) x) (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) (log (/ (sinh x) x)) (/ (sinh x) x) (+ (* (* x x) 1/6) 1) (+ (* 1/2835 (* x x)) -1/180) (+ (* -1/37800 (* x x)) 1/2835))

simplify213.0ms (2.1%)

Memory

-34.7MiB live, 171.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	138	668
1	360	667
2	1009	667
3	2802	667
4	7355	667
0	8023	633

Stop Event

1×	iter limit
1×	node limit

Counts

62 → 62

Calls

Call 1

Inputs
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(* 1/6 x)
(* x (+ 1/6 (* -1/180 (pow x 2))))
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
1/6
(+ 1/6 (* -1/180 (pow x 2)))
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))
(pow x 2)
(* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))
1
(+ 1 (* 1/6 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))
-1/180
(- (* 1/2835 (pow x 2)) 1/180)
1/2835
(+ 1/2835 (* -1/37800 (pow x 2)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(* 1/2835 (pow x 6))
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* 1/2835 (pow x 5))
(* (pow x 5) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* 1/2835 (pow x 4))
(* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* -1/180 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* -1/180 (pow x 3))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* -1/180 (pow x 2))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* -1/37800 (pow x 8))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* (pow x 8) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* -1/37800 (pow x 7))
(* (pow x 7) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 7) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* (pow x 7) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* -1/37800 (pow x 6))
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* (pow x 6) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))
(* 1/2835 (pow x 2))
(* (pow x 2) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* -1/37800 (pow x 2))
(* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4))))))
(* -1 (* (pow x 3) (- 1/180 (* 1/6 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- 1/37800 (* 1/2835 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 1/37800 (/ 1/180 (pow x 4))) (* 1/2835 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 1/37800 (/ 1/180 (pow x 4))) (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))))

Outputs
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(.f64 (.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #s(literal 1/2835 binary64)) (.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* x (+ 1/6 (* -1/180 (pow x 2))))
(.f64 (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64)) x)
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* -1/180 (pow x 2)))
(fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))
(fma.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64))
(pow x 2)
(*.f64 x x)
(* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #s(literal 1/2835 binary64)) (.f64 x x) #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x)
(+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #s(literal 1/2835 binary64)) (.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/6 (pow x 2)))
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
-1/180
#s(literal -1/180 binary64)
(- (* 1/2835 (pow x 2)) 1/180)
(fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64))
1/2835
#s(literal 1/2835 binary64)
(+ 1/2835 (* -1/37800 (pow x 2)))
(fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))) (log.f64 x))
(* 1/2835 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2835 binary64))
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/180 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(.f64 (-.f64 (/.f64 #s(literal -1/180 binary64) (.f64 x x)) (-.f64 #s(literal -1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 6 binary64)))
(* 1/2835 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/2835 binary64))
(* (pow x 5) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/180 binary64) (.f64 x x))))
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (/.f64 #s(literal -1/180 binary64) (.f64 x x)) (-.f64 #s(literal -1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))))))
(* 1/2835 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2835 binary64))
(* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(.f64 (.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x)
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(fma.f64 (.f64 #s(literal -1/180 binary64) x) x (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/2835 binary64)) (pow.f64 x #s(literal 4 binary64))))
(* -1/180 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/180 binary64))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* -1/180 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/180 binary64))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(.f64 (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64)) x)
(* -1/180 (pow x 2))
(.f64 #s(literal -1/180 binary64) (.f64 x x))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(* -1/37800 (pow x 8))
(*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal -1/37800 binary64))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(.f64 (-.f64 (/.f64 #s(literal 1/2835 binary64) (.f64 x x)) #s(literal 1/37800 binary64)) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(.f64 (-.f64 (/.f64 #s(literal -1/180 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/37800 binary64) (/.f64 #s(literal 1/2835 binary64) (.f64 x x)))) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1/2835 binary64) (.f64 x x))) (-.f64 (/.f64 #s(literal 1/180 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/37800 binary64))) (pow.f64 x #s(literal 8 binary64)))
(* -1/37800 (pow x 7))
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -1/37800 binary64))
(* (pow x 7) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 (/.f64 #s(literal 1/2835 binary64) (.f64 x x)) #s(literal 1/37800 binary64)))
(* (pow x 7) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 (/.f64 #s(literal -1/180 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/37800 binary64) (/.f64 #s(literal 1/2835 binary64) (.f64 x x)))))
(* (pow x 7) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1/2835 binary64) (.f64 x x))) (-.f64 (/.f64 #s(literal 1/180 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/37800 binary64))))
(* -1/37800 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/37800 binary64))
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(.f64 (-.f64 (/.f64 #s(literal 1/2835 binary64) (.f64 x x)) #s(literal 1/37800 binary64)) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(.f64 (-.f64 (/.f64 #s(literal -1/180 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/37800 binary64) (/.f64 #s(literal 1/2835 binary64) (.f64 x x)))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1/2835 binary64) (.f64 x x))) (-.f64 (/.f64 #s(literal 1/180 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/37800 binary64))) (pow.f64 x #s(literal 6 binary64)))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64))
(* 1/2835 (pow x 2))
(.f64 #s(literal 1/2835 binary64) (.f64 x x))
(* (pow x 2) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64))
(* -1/37800 (pow x 2))
(.f64 #s(literal -1/37800 binary64) (.f64 x x))
(* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/180 binary64) (.f64 x x))))
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4))))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (/.f64 #s(literal -1/180 binary64) (.f64 x x)) (-.f64 #s(literal -1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))))))
(* -1 (* (pow x 3) (- 1/180 (* 1/6 (/ 1 (pow x 2))))))
(.f64 (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64)) x)
(* -1 (* (pow x 7) (- 1/37800 (* 1/2835 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 (/.f64 #s(literal 1/2835 binary64) (.f64 x x)) #s(literal 1/37800 binary64)))
(* -1 (* (pow x 7) (- (+ 1/37800 (/ 1/180 (pow x 4))) (* 1/2835 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 (/.f64 #s(literal -1/180 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/37800 binary64) (/.f64 #s(literal 1/2835 binary64) (.f64 x x)))))
(* -1 (* (pow x 7) (- (+ 1/37800 (/ 1/180 (pow x 4))) (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1/2835 binary64) (.f64 x x))) (-.f64 (/.f64 #s(literal 1/180 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/37800 binary64))))

rewrite197.0ms (2%)

Memory

0.9MiB live, 197.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	240
0	52	240
1	192	240
2	1262	240
0	8434	240

Stop Event

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

Counts

20 → 425

Calls

Call 1

Inputs
#s(approx (log (/ (sinh x) x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)
(.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64))
#s(approx (log (/ (sinh x) x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(*.f64 x x)
#s(approx (log (/ (sinh x) x)) (.f64 (.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(.f64 (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))
#s(approx (log (/ (sinh x) x)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #s(literal 1/2835 binary64)) (.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #s(literal 1/2835 binary64)) (.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #s(literal 1/2835 binary64)) (.f64 x x) #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #s(literal 1/2835 binary64)) (.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))))
#s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64))
(fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64))

Outputs
#s(approx (log (/ (sinh x) x)) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (.f64 x x)) (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (.f64 x x) #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) (.f64 x x)) (pow.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 #s(literal 1/6 binary64) x))) #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)
(.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x))
(.f64 (.f64 x x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)))
(.f64 x (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x))
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (*.f64 x x))))
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(/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))))
(.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal -1 binary64)))
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(.f64 (.f64 x (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64))) (pow.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (.f64 #s(literal 1/6 binary64) x))) #s(literal -1 binary64)))
(.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(.f64 x (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))
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(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) x) #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 binary64))) (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) x) (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) x) (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) x) (*.f64 #s(literal 1/6 binary64) x)))))
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(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 binary64) (pow.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) x) #s(literal 3 binary64))) (fma.f64 #s(literal 1/36 binary64) (.f64 x x) (-.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) x) (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) x)) (.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) x)))))
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(/.f64 (.f64 (fma.f64 #s(literal -1/157552826393269144631808000000000000000000 binary64) (pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 3 binary64)) #s(literal 1/11829804542155138297225482421875 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/2917096519063104000000000000 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) (-.f64 #s(literal 1/519180508397705765625 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/1230650093979747000000000 binary64)))) (fma.f64 #s(literal 1/1428840000 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/8037225 binary64) (.f64 (*.f64 x x) #s(literal -1/107163000 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/1428840000 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #s(literal -1/2835 binary64))) (.f64 (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #s(literal -1/2835 binary64)) #s(literal 1/8037225 binary64))) (.f64 (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #s(literal -1/2835 binary64)) (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #s(literal -1/2835 binary64))))
(/.f64 (-.f64 #s(literal 1/8037225 binary64) (.f64 #s(literal 1/1428840000 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal 1/2835 binary64) (.f64 #s(literal -1/37800 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/1428840000 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8037225 binary64))) (neg.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal -1/2835 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/54010152000000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/22785532875 binary64))) (neg.f64 (+.f64 #s(literal 1/8037225 binary64) (-.f64 (.f64 #s(literal 1/1428840000 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (*.f64 x x) #s(literal -1/107163000 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/54010152000000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/22785532875 binary64))) (neg.f64 (fma.f64 #s(literal 1/1428840000 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/8037225 binary64) (.f64 (.f64 x x) #s(literal -1/107163000 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)))))
(/.f64 (fma.f64 #s(literal 1/1428840000 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8037225 binary64)) (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal -1/2835 binary64)))
(/.f64 (fma.f64 #s(literal -1/54010152000000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/22785532875 binary64)) (+.f64 #s(literal 1/8037225 binary64) (-.f64 (.f64 #s(literal 1/1428840000 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (*.f64 x x) #s(literal -1/107163000 binary64)))))
(/.f64 (fma.f64 #s(literal -1/54010152000000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/22785532875 binary64)) (fma.f64 #s(literal 1/1428840000 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/8037225 binary64) (.f64 (.f64 x x) #s(literal -1/107163000 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2835 binary64) (.f64 #s(literal -1/37800 binary64) (.f64 x x))) (-.f64 #s(literal 1/8037225 binary64) (*.f64 #s(literal 1/1428840000 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/8037225 binary64) (-.f64 (.f64 #s(literal 1/1428840000 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (*.f64 x x) #s(literal -1/107163000 binary64)))) (fma.f64 #s(literal -1/54010152000000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/22785532875 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64))))
(fma.f64 (*.f64 #s(literal -1/37800 binary64) x) x #s(literal 1/2835 binary64))
(fma.f64 (.f64 #s(literal 1/1428840000 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #s(literal -1/2835 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 1/8037225 binary64) (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal -1/2835 binary64)))))
(fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))
(fma.f64 x (*.f64 #s(literal -1/37800 binary64) x) #s(literal 1/2835 binary64))
(-.f64 (/.f64 #s(literal 1/8037225 binary64) (-.f64 #s(literal 1/2835 binary64) (.f64 #s(literal -1/37800 binary64) (.f64 x x)))) (/.f64 (.f64 #s(literal 1/1428840000 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/2835 binary64) (.f64 #s(literal -1/37800 binary64) (*.f64 x x)))))
(-.f64 (/.f64 (.f64 #s(literal 1/1428840000 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #s(literal -1/2835 binary64))) (/.f64 #s(literal 1/8037225 binary64) (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal -1/2835 binary64))))
(+.f64 (/.f64 (.f64 #s(literal 1/1428840000 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #s(literal -1/2835 binary64))) (neg.f64 (/.f64 #s(literal 1/8037225 binary64) (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal -1/2835 binary64)))))
(+.f64 (.f64 #s(literal -1/37800 binary64) (.f64 x x)) #s(literal 1/2835 binary64))
(+.f64 #s(literal 1/2835 binary64) (.f64 #s(literal -1/37800 binary64) (.f64 x x)))

eval71.0ms (0.7%)

Memory: 12.5MiB live, 130.7MiB allocated
Compiler: Compiled 19 246 to 2 662 computations (86.2% saved)

prune21.0ms (0.2%)

Memory

5.9MiB live, 45.2MiB allocated

Pruning

17 alts after pruning (12 fresh and 5 done)

	Pruned	Kept	Total
New	523	10	533
Fresh	0	2	2
Picked	1	4	5
Done	0	1	1
Total	524	17	541

Accuracy

99.0%

Counts

541 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	49.0%	(log.f64 (/.f64 (sinh.f64 x) x))
	48.2%	(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))))
	48.0%	(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64))))
▶	47.8%	(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64))))
	97.1%	#s(approx (log (/ (sinh x) x)) (/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal -1/6 binary64))))
▶	97.2%	#s(approx (log (/ (sinh x) x)) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64)))))
▶	97.1%	#s(approx (log (/ (sinh x) x)) (.f64 (fma.f64 (.f64 #s(literal -1/180 binary64) (.f64 x x)) x (.f64 #s(literal 1/6 binary64) x)) x))
	97.1%	#s(approx (log (/ (sinh x) x)) (.f64 (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
	97.2%	#s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64)))) x))
	97.0%	#s(approx (log (/ (sinh x) x)) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal -1/6 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) #s(literal -1/36 binary64)) x))) x))
✓	97.3%	#s(approx (log (/ (sinh x) x)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #s(literal 1/2835 binary64)) (.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
✓	97.5%	#s(approx (log (/ (sinh x) x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))
✓	97.1%	#s(approx (log (/ (sinh x) x)) (.f64 (.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
▶	96.9%	#s(approx (log (/ (sinh x) x)) (.f64 (.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
✓	96.9%	#s(approx (log (/ (sinh x) x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
	17.7%	#s(approx (log (/ (sinh x) x)) #s(approx (* (* (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) x) x) (.f64 (-.f64 (/.f64 #s(literal -1/180 binary64) (.f64 x x)) (-.f64 #s(literal -1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 6 binary64)))))
▶	27.5%	#s(approx (log (/ (sinh x) x)) #s(approx (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 4 binary64)))))

Compiler

Compiled 607 to 415 computations (31.6% saved)

simplify114.0ms (1.1%)

Memory

15.6MiB live, 89.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64))
cost-diff	0	#s(approx (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 4 binary64))))
cost-diff	0	#s(approx (log (/ (sinh x) x)) #s(approx (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 4 binary64)))))
cost-diff	1	(.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 4 binary64)))
cost-diff	0	(*.f64 #s(literal 1/6 binary64) x)
cost-diff	0	(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (sinh x) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64)))
cost-diff	0	(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64))))
cost-diff	0	(.f64 #s(literal -1/180 binary64) (.f64 x x))
cost-diff	0	(.f64 (fma.f64 (.f64 #s(literal -1/180 binary64) (.f64 x x)) x (.f64 #s(literal 1/6 binary64) x)) x)
cost-diff	0	#s(approx (log (/ (sinh x) x)) (.f64 (fma.f64 (.f64 #s(literal -1/180 binary64) (.f64 x x)) x (.f64 #s(literal 1/6 binary64) x)) x))
cost-diff	2	(fma.f64 (.f64 #s(literal -1/180 binary64) (.f64 x x)) x (*.f64 #s(literal 1/6 binary64) x))
cost-diff	0	#s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64))
cost-diff	0	(.f64 #s(approx (+ ( (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x)
cost-diff	0	(.f64 (.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)
cost-diff	0	#s(approx (log (/ (sinh x) x)) (.f64 (.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (log (/ (sinh x) x)) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64)))))
cost-diff	2	(/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	301
0	62	300
1	106	290
2	168	290
3	261	286
4	361	286
5	567	284
6	1110	284
7	2671	284
8	4853	284
9	7717	284
0	8423	280

Stop Event

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

Calls

Call 1

Inputs
#s(approx (log (/ (sinh x) x)) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64)))))
(/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64))))
(*.f64 x x)
x
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
#s(literal 1 binary64)
(fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))
#s(literal -1/180 binary64)
#s(literal 1/6 binary64)
#s(approx (log (/ (sinh x) x)) (.f64 (.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)
(.f64 #s(approx (+ ( (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x)
#s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
x
#s(approx (log (/ (sinh x) x)) (.f64 (fma.f64 (.f64 #s(literal -1/180 binary64) (.f64 x x)) x (.f64 #s(literal 1/6 binary64) x)) x))
(.f64 (fma.f64 (.f64 #s(literal -1/180 binary64) (.f64 x x)) x (.f64 #s(literal 1/6 binary64) x)) x)
(fma.f64 (.f64 #s(literal -1/180 binary64) (.f64 x x)) x (*.f64 #s(literal 1/6 binary64) x))
(.f64 #s(literal -1/180 binary64) (.f64 x x))
#s(literal -1/180 binary64)
(*.f64 x x)
x
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64))))
#s(approx (/ (sinh x) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64))
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
x
#s(literal 1 binary64)
#s(approx (log (/ (sinh x) x)) #s(approx (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 4 binary64))))
(.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 4 binary64)))
(-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
#s(literal 1/6 binary64)
(*.f64 x x)
x
#s(literal 1/180 binary64)
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)

Outputs
#s(approx (log (/ (sinh x) x)) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64)))))
#s(approx (log (/ (sinh x) x)) (.f64 (.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64))))
(.f64 (.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(*.f64 x x)
x
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
#s(literal 1 binary64)
(fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))
#s(literal -1/180 binary64)
#s(literal 1/6 binary64)
#s(approx (log (/ (sinh x) x)) (.f64 (.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)
(.f64 #s(approx (+ ( (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x)
#s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
x
#s(approx (log (/ (sinh x) x)) (.f64 (fma.f64 (.f64 #s(literal -1/180 binary64) (.f64 x x)) x (.f64 #s(literal 1/6 binary64) x)) x))
#s(approx (log (/ (sinh x) x)) (.f64 (.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(.f64 (fma.f64 (.f64 #s(literal -1/180 binary64) (.f64 x x)) x (.f64 #s(literal 1/6 binary64) x)) x)
(.f64 (.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(fma.f64 (.f64 #s(literal -1/180 binary64) (.f64 x x)) x (*.f64 #s(literal 1/6 binary64) x))
(.f64 (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64)) x)
(.f64 #s(literal -1/180 binary64) (.f64 x x))
#s(literal -1/180 binary64)
(*.f64 x x)
x
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64))))
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (sinh x) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64)))
#s(approx (/ (sinh x) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64))
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
x
#s(literal 1 binary64)
#s(approx (log (/ (sinh x) x)) #s(approx (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (log (/ (sinh x) x)) #s(approx (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (.f64 (.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)))
#s(approx (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (.f64 (.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 4 binary64)))
(.f64 (.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
#s(literal 1/6 binary64)
(*.f64 x x)
x
#s(literal 1/180 binary64)
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)

localize281.0ms (2.8%)

Memory

14.5MiB live, 291.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0234375	(-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64))
accuracy	0.19988251953688402	(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
accuracy	1.6550120780312363	#s(approx (log (/ (sinh x) x)) #s(approx (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 4 binary64)))))
accuracy	44.28712454740095	(.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 4 binary64)))
accuracy	0.0	(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64))
accuracy	0.34765625	(*.f64 #s(literal 1/6 binary64) x)
accuracy	1.5687165834006551	#s(approx (/ (sinh x) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64)))
accuracy	32.646853859277364	(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64))))
accuracy	0.14453125	(.f64 #s(literal -1/180 binary64) (.f64 x x))
accuracy	0.171875	(.f64 (fma.f64 (.f64 #s(literal -1/180 binary64) (.f64 x x)) x (.f64 #s(literal 1/6 binary64) x)) x)
accuracy	0.34765625	(*.f64 #s(literal 1/6 binary64) x)
accuracy	1.6550120780312363	#s(approx (log (/ (sinh x) x)) (.f64 (fma.f64 (.f64 #s(literal -1/180 binary64) (.f64 x x)) x (.f64 #s(literal 1/6 binary64) x)) x))
accuracy	0.18359375	(.f64 (.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)
accuracy	0.3515625	(.f64 #s(approx (+ ( (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x)
accuracy	1.3939872654324414	#s(approx (log (/ (sinh x) x)) (.f64 (.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
accuracy	1.8176602590554187	#s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64))
accuracy	0.01171875	(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
accuracy	0.02734375	(fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))
accuracy	0.12109375	(/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64))))
accuracy	1.6550120780312363	#s(approx (log (/ (sinh x) x)) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64)))))

Samples

181.0ms	172×	2	valid
62.0ms	74×	1	valid
3.0ms	10×	0	valid

Compiler

Compiled 209 to 35 computations (83.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 195.0ms

ival-log: 39.0ms (20% of total)

ival-mult: 34.0ms (17.4% of total)

ival-add: 30.0ms (15.4% of total)

adjust: 26.0ms (13.3% of total)

ival-sinh: 26.0ms (13.3% of total)

const: 18.0ms (9.2% of total)

ival-div: 15.0ms (7.7% of total)

ival-pow: 4.0ms (2% of total)

ival-sub: 2.0ms (1% of total)

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

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

exact: 0.0ms (0% of total)

series27.0ms (0.3%)

Memory

-10.3MiB live, 27.8MiB allocated

Counts

22 → 49

Calls

Call 1

Inputs
(/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64))))
#s(approx (log (/ (sinh x) x)) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64)))))
(*.f64 x x)
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
#s(approx (log (/ (sinh x) x)) (.f64 (.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)
(.f64 #s(approx (+ ( (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x)
#s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64))
(fma.f64 (.f64 #s(literal -1/180 binary64) (.f64 x x)) x (*.f64 #s(literal 1/6 binary64) x))
#s(approx (log (/ (sinh x) x)) (.f64 (fma.f64 (.f64 #s(literal -1/180 binary64) (.f64 x x)) x (.f64 #s(literal 1/6 binary64) x)) x))
(.f64 (fma.f64 (.f64 #s(literal -1/180 binary64) (.f64 x x)) x (.f64 #s(literal 1/6 binary64) x)) x)
(.f64 #s(literal -1/180 binary64) (.f64 x x))
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64))))
#s(approx (/ (sinh x) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64))
(*.f64 #s(literal 1/6 binary64) x)
(.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 4 binary64)))
#s(approx (log (/ (sinh x) x)) #s(approx (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 4 binary64))))
(-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64))
(fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))

Outputs
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(pow x 2)
6
(+ 6 (* 1/5 (pow x 2)))
(+ 6 (* (pow x 2) (+ 1/5 (* 1/150 (pow x 2)))))
(+ 6 (* (pow x 2) (+ 1/5 (* (pow x 2) (+ 1/150 (* 1/4500 (pow x 2)))))))
(* 1/6 x)
(* x (+ 1/6 (* -1/180 (pow x 2))))
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
1/6
(+ 1/6 (* -1/180 (pow x 2)))
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))
(* -1/180 (pow x 2))
1
(+ 1 (* 1/6 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))
(/ 1/6 (pow x 2))
(/ (+ 1/6 (* -1/180 (pow x 2))) (pow x 2))
(* -1/180 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(/ -180 (pow x 2))
(* -1 (/ (+ 180 (* 5400 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 5400 (* 162000 (/ 1 (pow x 2)))) (pow x 2))) 180) (pow x 2))
(/ (- (* -1 (/ (+ 162000 (* 4860000 (/ 1 (pow x 2)))) (pow x 4))) (+ 180 (* 5400 (/ 1 (pow x 2))))) (pow x 2))
(* 1/2835 (pow x 6))
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* 1/2835 (pow x 5))
(* (pow x 5) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* 1/2835 (pow x 4))
(* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* -1/180 (pow x 3))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))
-1/180
(- (* 1/6 (/ 1 (pow x 2))) 1/180)
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4))))))
(* -1 (* (pow x 3) (- 1/180 (* 1/6 (/ 1 (pow x 2))))))

Calls

3 calls:

Time

Variable

Point

Expression

10.0ms

-inf

((/ (* x x) (/ 1 (+ (* -1/180 (* x x)) 1/6))) (log (/ (sinh x) x)) (* x x) (/ 1 (+ (* -1/180 (* x x)) 1/6)) (log (/ (sinh x) x)) (* (* (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) x) x) (* (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) x) (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) (+ (* (* -1/180 (* x x)) x) (* 1/6 x)) (log (/ (sinh x) x)) (* (+ (* (* -1/180 (* x x)) x) (* 1/6 x)) x) (* -1/180 (* x x)) (log (/ (sinh x) x)) (/ (sinh x) x) (+ (* (* 1/6 x) x) 1) (* 1/6 x) (* (- (/ 1/6 (* x x)) 1/180) (pow x 4)) (log (/ (sinh x) x)) (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (- (/ 1/6 (* x x)) 1/180) (+ (* -1/180 (* x x)) 1/6) (/ 1/6 (* x x)))

10.0ms

inf

((/ (* x x) (/ 1 (+ (* -1/180 (* x x)) 1/6))) (log (/ (sinh x) x)) (* x x) (/ 1 (+ (* -1/180 (* x x)) 1/6)) (log (/ (sinh x) x)) (* (* (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) x) x) (* (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) x) (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) (+ (* (* -1/180 (* x x)) x) (* 1/6 x)) (log (/ (sinh x) x)) (* (+ (* (* -1/180 (* x x)) x) (* 1/6 x)) x) (* -1/180 (* x x)) (log (/ (sinh x) x)) (/ (sinh x) x) (+ (* (* 1/6 x) x) 1) (* 1/6 x) (* (- (/ 1/6 (* x x)) 1/180) (pow x 4)) (log (/ (sinh x) x)) (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (- (/ 1/6 (* x x)) 1/180) (+ (* -1/180 (* x x)) 1/6) (/ 1/6 (* x x)))

6.0ms

((/ (* x x) (/ 1 (+ (* -1/180 (* x x)) 1/6))) (log (/ (sinh x) x)) (* x x) (/ 1 (+ (* -1/180 (* x x)) 1/6)) (log (/ (sinh x) x)) (* (* (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) x) x) (* (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) x) (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) (+ (* (* -1/180 (* x x)) x) (* 1/6 x)) (log (/ (sinh x) x)) (* (+ (* (* -1/180 (* x x)) x) (* 1/6 x)) x) (* -1/180 (* x x)) (log (/ (sinh x) x)) (/ (sinh x) x) (+ (* (* 1/6 x) x) 1) (* 1/6 x) (* (- (/ 1/6 (* x x)) 1/180) (pow x 4)) (log (/ (sinh x) x)) (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (- (/ 1/6 (* x x)) 1/180) (+ (* -1/180 (* x x)) 1/6) (/ 1/6 (* x x)))

simplify132.0ms (1.3%)

Memory

8.6MiB live, 127.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	139	496
1	359	495
2	970	492
3	2444	488
4	5896	484
0	8424	454

Stop Event

1×	iter limit
1×	node limit

Counts

49 → 49

Calls

Call 1

Inputs
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(pow x 2)
6
(+ 6 (* 1/5 (pow x 2)))
(+ 6 (* (pow x 2) (+ 1/5 (* 1/150 (pow x 2)))))
(+ 6 (* (pow x 2) (+ 1/5 (* (pow x 2) (+ 1/150 (* 1/4500 (pow x 2)))))))
(* 1/6 x)
(* x (+ 1/6 (* -1/180 (pow x 2))))
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
1/6
(+ 1/6 (* -1/180 (pow x 2)))
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))
(* -1/180 (pow x 2))
1
(+ 1 (* 1/6 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))
(/ 1/6 (pow x 2))
(/ (+ 1/6 (* -1/180 (pow x 2))) (pow x 2))
(* -1/180 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(/ -180 (pow x 2))
(* -1 (/ (+ 180 (* 5400 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 5400 (* 162000 (/ 1 (pow x 2)))) (pow x 2))) 180) (pow x 2))
(/ (- (* -1 (/ (+ 162000 (* 4860000 (/ 1 (pow x 2)))) (pow x 4))) (+ 180 (* 5400 (/ 1 (pow x 2))))) (pow x 2))
(* 1/2835 (pow x 6))
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* 1/2835 (pow x 5))
(* (pow x 5) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* 1/2835 (pow x 4))
(* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* -1/180 (pow x 3))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))
-1/180
(- (* 1/6 (/ 1 (pow x 2))) 1/180)
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4))))))
(* -1 (* (pow x 3) (- 1/180 (* 1/6 (/ 1 (pow x 2))))))

Outputs
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #s(literal 1/2835 binary64)) (.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(pow x 2)
(*.f64 x x)
6
#s(literal 6 binary64)
(+ 6 (* 1/5 (pow x 2)))
(fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64))
(+ 6 (* (pow x 2) (+ 1/5 (* 1/150 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1/150 binary64) (.f64 x x) #s(literal 1/5 binary64)) (.f64 x x) #s(literal 6 binary64))
(+ 6 (* (pow x 2) (+ 1/5 (* (pow x 2) (+ 1/150 (* 1/4500 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/4500 binary64) (.f64 x x) #s(literal 1/150 binary64)) (.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64))
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* x (+ 1/6 (* -1/180 (pow x 2))))
(.f64 (fma.f64 (.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)) x)
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* -1/180 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64))
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64))
(* -1/180 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/180 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/6 (pow x 2)))
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
(/ 1/6 (pow x 2))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
(/ (+ 1/6 (* -1/180 (pow x 2))) (pow x 2))
(-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64))
(* -1/180 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/180 binary64))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 4 binary64)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))) (log.f64 x))
(/ -180 (pow x 2))
(/.f64 #s(literal -180 binary64) (*.f64 x x))
(* -1 (/ (+ 180 (* 5400 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (/.f64 (-.f64 #s(literal -180 binary64) (/.f64 #s(literal 5400 binary64) (*.f64 x x))) x) x)
(/ (- (* -1 (/ (+ 5400 (* 162000 (/ 1 (pow x 2)))) (pow x 2))) 180) (pow x 2))
(/.f64 (-.f64 (/.f64 #s(literal -180 binary64) x) (/.f64 (+.f64 (/.f64 #s(literal 162000 binary64) (*.f64 x x)) #s(literal 5400 binary64)) (pow.f64 x #s(literal 3 binary64)))) x)
(/ (- (* -1 (/ (+ 162000 (* 4860000 (/ 1 (pow x 2)))) (pow x 4))) (+ 180 (* 5400 (/ 1 (pow x 2))))) (pow x 2))
(/.f64 (-.f64 (-.f64 #s(literal -180 binary64) (/.f64 #s(literal 5400 binary64) (.f64 x x))) (/.f64 (+.f64 (/.f64 #s(literal 4860000 binary64) (.f64 x x)) #s(literal 162000 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 x x))
(* 1/2835 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2835 binary64))
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/180 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(.f64 (-.f64 (/.f64 #s(literal -1/180 binary64) (.f64 x x)) (-.f64 #s(literal -1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 6 binary64)))
(* 1/2835 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/2835 binary64))
(* (pow x 5) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/180 binary64) (.f64 x x))))
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (/.f64 #s(literal -1/180 binary64) (.f64 x x)) (-.f64 #s(literal -1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))))))
(* 1/2835 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2835 binary64))
(* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x)
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(fma.f64 (.f64 #s(literal -1/180 binary64) x) x (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/2835 binary64)) (pow.f64 x #s(literal 4 binary64))))
(* -1/180 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/180 binary64))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(.f64 (fma.f64 (.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)) x)
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64))
-1/180
#s(literal -1/180 binary64)
(- (* 1/6 (/ 1 (pow x 2))) 1/180)
(-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/180 binary64) (.f64 x x))))
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4))))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (/.f64 #s(literal -1/180 binary64) (.f64 x x)) (-.f64 #s(literal -1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))))))
(* -1 (* (pow x 3) (- 1/180 (* 1/6 (/ 1 (pow x 2))))))
(.f64 (fma.f64 (.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)) x)

rewrite204.0ms (2%)

Memory

-6.0MiB live, 236.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	273
0	62	271
1	218	263
2	1365	263
0	8340	251

Stop Event

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

Counts

22 → 779

Calls

Call 1

Inputs
(/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64))))
#s(approx (log (/ (sinh x) x)) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64)))))
(*.f64 x x)
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
#s(approx (log (/ (sinh x) x)) (.f64 (.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)
(.f64 #s(approx (+ ( (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x)
#s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64))
(fma.f64 (.f64 #s(literal -1/180 binary64) (.f64 x x)) x (*.f64 #s(literal 1/6 binary64) x))
#s(approx (log (/ (sinh x) x)) (.f64 (fma.f64 (.f64 #s(literal -1/180 binary64) (.f64 x x)) x (.f64 #s(literal 1/6 binary64) x)) x))
(.f64 (fma.f64 (.f64 #s(literal -1/180 binary64) (.f64 x x)) x (.f64 #s(literal 1/6 binary64) x)) x)
(.f64 #s(literal -1/180 binary64) (.f64 x x))
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64))))
#s(approx (/ (sinh x) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64))
(*.f64 #s(literal 1/6 binary64) x)
(.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 4 binary64)))
#s(approx (log (/ (sinh x) x)) #s(approx (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 4 binary64))))
(-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64))
(fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))

Outputs
(.f64 (pow.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64))) #s(literal -1/2 binary64)) (pow.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64))) #s(literal -1/2 binary64)))
(.f64 (/.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))) x) (/.f64 x (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal -1/6 binary64))))
(.f64 (/.f64 x x) (.f64 (.f64 (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64)) x) x))
(.f64 (/.f64 (.f64 x x) (pow.f64 (fma.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) #s(literal -1 binary64))) (pow.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 x x) (pow.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/5832000 binary64) #s(literal 1/216 binary64)) #s(literal -1 binary64))) (pow.f64 (fma.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/1080 binary64)))) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 x x) (pow.f64 (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))
(.f64 (/.f64 x (pow.f64 (fma.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) #s(literal -1 binary64))) (/.f64 x (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal -1/6 binary64))))
(.f64 (/.f64 x (pow.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/5832000 binary64) #s(literal 1/216 binary64)) #s(literal -1 binary64))) (/.f64 x (fma.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (.f64 (*.f64 x x) #s(literal -1/1080 binary64))))))
(.f64 (/.f64 x (pow.f64 (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) (/.f64 x (pow.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))
(.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x))
(.f64 (.f64 (.f64 x x) #s(literal -1 binary64)) (-.f64 #s(literal -1/6 binary64) (.f64 #s(literal -1/180 binary64) (*.f64 x x))))
(.f64 (.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 x) (pow.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(.f64 (.f64 x #s(literal -1 binary64)) (/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)))))
(.f64 (.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))) x) (pow.f64 (.f64 x (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal -1/6 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal -1/5832000 binary64) (pow.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 3 binary64))) x) (pow.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/32400 binary64) (.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/180 binary64) (pow.f64 x #s(literal 3 binary64)))))) #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (.f64 x x)) (pow.f64 (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/5832000 binary64) #s(literal 1/216 binary64)) (.f64 x x)) (pow.f64 (fma.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (.f64 (*.f64 x x) #s(literal -1/1080 binary64)))) #s(literal -1 binary64)))
(.f64 (.f64 x (.f64 (.f64 x x) (fma.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)))) (pow.f64 (.f64 x (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal -1/6 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 x (fma.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal -1/5832000 binary64) (pow.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/32400 binary64) (.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/180 binary64) (pow.f64 x #s(literal 3 binary64)))))) #s(literal -1 binary64)))
(.f64 (.f64 (.f64 x x) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/5832000 binary64) #s(literal 1/216 binary64))) (pow.f64 (fma.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (.f64 (*.f64 x x) #s(literal -1/1080 binary64)))) #s(literal -1 binary64)))
(.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))) (pow.f64 (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (neg.f64 x) x) (-.f64 #s(literal -1/6 binary64) (.f64 #s(literal -1/180 binary64) (.f64 x x))))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64))))))
(.f64 #s(literal -1 binary64) (.f64 (-.f64 #s(literal -1/6 binary64) (.f64 #s(literal -1/180 binary64) (.f64 x x))) (*.f64 x x)))
(.f64 (.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(.f64 (.f64 (.f64 (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64)) x) x) #s(literal 1 binary64))
(.f64 (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x))
(.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 x x) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
(.f64 x (.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x))
(pow.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal -1/180 binary64) (.f64 x x)) (.f64 x x)) (.f64 (.f64 #s(literal -1/180 binary64) (.f64 x x)) (.f64 x x))) (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 (.f64 (.f64 #s(literal -1/180 binary64) (.f64 x x)) (.f64 x x)) (.f64 (.f64 #s(literal 1/6 binary64) x) x)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/180 binary64)) x) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/180 binary64)) x)) (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/180 binary64)) x) (.f64 (.f64 #s(literal 1/6 binary64) x) x)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) (.f64 #s(literal -1/180 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 #s(literal -1/180 binary64) (.f64 x x)))) (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 (.f64 (.f64 x x) (.f64 #s(literal -1/180 binary64) (.f64 x x))) (.f64 (.f64 #s(literal 1/6 binary64) x) x)))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/180 binary64))) (.f64 x (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/180 binary64)))) (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 (.f64 x (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/180 binary64))) (.f64 (.f64 #s(literal 1/6 binary64) x) x)))
(/.f64 (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 (.f64 #s(literal -1/180 binary64) (.f64 x x)) (.f64 x x)) (.f64 (.f64 #s(literal -1/180 binary64) (.f64 x x)) (.f64 x x)))) (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) x) (.f64 (.f64 #s(literal -1/180 binary64) (.f64 x x)) (.f64 x x))))
(/.f64 (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/180 binary64)) x) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/180 binary64)) x))) (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) x) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/180 binary64)) x)))
(/.f64 (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 (.f64 x x) (.f64 #s(literal -1/180 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 #s(literal -1/180 binary64) (.f64 x x))))) (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) x) (.f64 (.f64 x x) (.f64 #s(literal -1/180 binary64) (.f64 x x)))))
(/.f64 (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 x (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/180 binary64))) (.f64 x (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/180 binary64))))) (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) x) (.f64 x (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/180 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 #s(literal -1/180 binary64) (.f64 x x)) (.f64 x x)) #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64))) (fma.f64 (.f64 (.f64 #s(literal -1/180 binary64) (.f64 x x)) (.f64 x x)) (.f64 (.f64 #s(literal -1/180 binary64) (.f64 x x)) (.f64 x x)) (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 (.f64 #s(literal -1/180 binary64) (.f64 x x)) (.f64 x x)) (.f64 (*.f64 #s(literal 1/6 binary64) x) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/180 binary64)) x) #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64))) (fma.f64 (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/180 binary64)) x) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/180 binary64)) x) (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/180 binary64)) x) (.f64 (*.f64 #s(literal 1/6 binary64) x) x)))))
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 (neg.f64 x) x) #s(literal -1/1080 binary64)))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/5832000 binary64) #s(literal 1/216 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64)))
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(fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal 1/6 binary64))
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(fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal -1/180 binary64) (.f64 x x)) #s(literal 1/6 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64))
(fma.f64 x (*.f64 #s(literal -1/180 binary64) x) #s(literal 1/6 binary64))
(-.f64 (/.f64 #s(literal 1/36 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/180 binary64) (.f64 x x)))) (/.f64 (.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/180 binary64) (*.f64 x x)))))
(-.f64 (/.f64 (/.f64 (.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal -1/6 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 (.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal -1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal -1/6 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/6 binary64) (.f64 #s(literal -1/180 binary64) (.f64 x x))))
(exp.f64 (neg.f64 (.f64 (log.f64 (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64))) #s(literal -1 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 (neg.f64 (.f64 #s(literal -1/180 binary64) (*.f64 x x))) #s(literal -1 binary64)) #s(literal 1/6 binary64))
(+.f64 (.f64 (.f64 #s(literal -1/180 binary64) (*.f64 x x)) #s(literal 1 binary64)) #s(literal 1/6 binary64))
(+.f64 (.f64 #s(literal -1 binary64) (neg.f64 (.f64 #s(literal -1/180 binary64) (*.f64 x x)))) #s(literal 1/6 binary64))
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(+.f64 (/.f64 (.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal -1/6 binary64))) (neg.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))
(+.f64 (.f64 #s(literal -1/180 binary64) (.f64 x x)) #s(literal 1/6 binary64))
(+.f64 #s(literal 1/6 binary64) (.f64 (neg.f64 (.f64 #s(literal -1/180 binary64) (*.f64 x x))) #s(literal -1 binary64)))
(+.f64 #s(literal 1/6 binary64) (.f64 (.f64 #s(literal -1/180 binary64) (*.f64 x x)) #s(literal 1 binary64)))
(+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1 binary64) (neg.f64 (.f64 #s(literal -1/180 binary64) (*.f64 x x)))))
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(.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal -1/2 binary64)) (pow.f64 (.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal -1/2 binary64)))
(*.f64 (neg.f64 (/.f64 #s(literal 1/6 binary64) x)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal 1/6 binary64) x) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1/6 binary64) x))
(.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x)))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 (*.f64 x x) #s(literal 6 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal -2 binary64))))
(.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1 binary64))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal -2 binary64)))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x)))
(pow.f64 (.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1/6 binary64) x))) x)
(/.f64 (neg.f64 (/.f64 #s(literal 1/6 binary64) x)) (neg.f64 x))
(/.f64 (/.f64 #s(literal 1/6 binary64) x) x)
(/.f64 #s(literal -1/6 binary64) (*.f64 (neg.f64 x) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 x x) #s(literal 6 binary64))))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (.f64 (.f64 x x) #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 6 binary64)))
(neg.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal -2 binary64))))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal -2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 x x) #s(literal 6 binary64))) #s(literal -1 binary64)))

eval73.0ms (0.7%)

Memory: -10.7MiB live, 101.4MiB allocated
Compiler: Compiled 19 343 to 2 640 computations (86.4% saved)

prune89.0ms (0.9%)

Memory

0.2MiB live, 47.0MiB allocated

Pruning

18 alts after pruning (10 fresh and 8 done)

	Pruned	Kept	Total
New	671	6	677
Fresh	3	4	7
Picked	2	3	5
Done	0	5	5
Total	676	18	694

Accuracy

99.0%

Counts

694 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	49.0%	(log.f64 (/.f64 (sinh.f64 x) x))
	48.2%	(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))))
	48.0%	(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64))))
✓	47.8%	(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64))))
▶	97.6%	#s(approx (log (/ (sinh x) x)) (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))))
▶	97.1%	#s(approx (log (/ (sinh x) x)) (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) #s(literal 6 binary64))))
	95.9%	#s(approx (log (/ (sinh x) x)) (/.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) (pow.f64 x #s(literal -2 binary64))))
	97.3%	#s(approx (log (/ (sinh x) x)) (/.f64 x (/.f64 (pow.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64)) x)))
✓	97.1%	#s(approx (log (/ (sinh x) x)) (.f64 (fma.f64 (.f64 #s(literal -1/180 binary64) (.f64 x x)) x (.f64 #s(literal 1/6 binary64) x)) x))
	97.1%	#s(approx (log (/ (sinh x) x)) (.f64 (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
▶	97.2%	#s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64)))) x))
✓	97.3%	#s(approx (log (/ (sinh x) x)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #s(literal 1/2835 binary64)) (.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
✓	97.5%	#s(approx (log (/ (sinh x) x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))
✓	97.1%	#s(approx (log (/ (sinh x) x)) (.f64 (.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
✓	96.9%	#s(approx (log (/ (sinh x) x)) (.f64 (.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
✓	96.9%	#s(approx (log (/ (sinh x) x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
▶	52.4%	#s(approx (log (/ (sinh x) x)) #s(approx (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (.f64 (.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal -1/180 binary64)) (.f64 x x)) (.f64 x x))))
▶	27.3%	#s(approx (log (/ (sinh x) x)) #s(approx (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (.f64 #s(approx (- (/ 1/6 ( x x)) 1/180) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))))

Compiler

Compiled 594 to 401 computations (32.5% saved)

simplify208.0ms (2.1%)

Memory

11.0MiB live, 84.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal -1/180 binary64)) (.f64 x x)) (.f64 x x))
cost-diff	0	#s(approx (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (.f64 (.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal -1/180 binary64)) (.f64 x x)) (.f64 x x)))
cost-diff	0	#s(approx (log (/ (sinh x) x)) #s(approx (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (.f64 (.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal -1/180 binary64)) (.f64 x x)) (.f64 x x))))
cost-diff	4	(.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal -1/180 binary64)) (.f64 x x))
cost-diff	0	#s(approx (- (/ 1/6 (* x x)) 1/180) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))
cost-diff	0	(.f64 #s(approx (- (/ 1/6 ( x x)) 1/180) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
cost-diff	0	#s(approx (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (.f64 #s(approx (- (/ 1/6 ( x x)) 1/180) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))))
cost-diff	0	#s(approx (log (/ (sinh x) x)) #s(approx (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (.f64 #s(approx (- (/ 1/6 ( x x)) 1/180) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))))
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
cost-diff	0	(.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64)))) x)
cost-diff	0	#s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64)))) x))
cost-diff	2	(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))))
cost-diff	0	#s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64))
cost-diff	0	(*.f64 x x)
cost-diff	0	(/.f64 (.f64 x x) #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) #s(literal 6 binary64)))
cost-diff	0	#s(approx (log (/ (sinh x) x)) (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) #s(literal 6 binary64))))
cost-diff	0	#s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))
cost-diff	0	(*.f64 x x)
cost-diff	0	(/.f64 (.f64 x x) #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64))))
cost-diff	0	#s(approx (log (/ (sinh x) x)) (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))))

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	45	383
0	66	377
1	108	369
2	164	365
3	315	361
4	505	361
5	721	361
6	1047	357
7	1775	357
8	3829	357
9	5618	357
10	7805	357
0	8121	357

Stop Event

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

Calls

Call 1

Inputs
#s(approx (log (/ (sinh x) x)) (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))))
(/.f64 (.f64 x x) #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64))))
(*.f64 x x)
x
#s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))
(fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64))
#s(literal 1/5 binary64)
#s(literal 6 binary64)
#s(approx (log (/ (sinh x) x)) (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) #s(literal 6 binary64))))
(/.f64 (.f64 x x) #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) #s(literal 6 binary64)))
(*.f64 x x)
x
#s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64))
#s(literal 6 binary64)
#s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64)))) x))
(.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64)))) x)
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))))
x
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
#s(literal 1 binary64)
(fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))
#s(literal -1/180 binary64)
(*.f64 x x)
#s(literal 1/6 binary64)
#s(approx (log (/ (sinh x) x)) #s(approx (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (.f64 #s(approx (- (/ 1/6 ( x x)) 1/180) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (.f64 #s(approx (- (/ 1/6 ( x x)) 1/180) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))))
(.f64 #s(approx (- (/ 1/6 ( x x)) 1/180) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
#s(approx (- (/ 1/6 (* x x)) 1/180) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
#s(literal 1/6 binary64)
(*.f64 x x)
x
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
#s(approx (log (/ (sinh x) x)) #s(approx (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (.f64 (.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal -1/180 binary64)) (.f64 x x)) (.f64 x x))))
#s(approx (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (.f64 (.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal -1/180 binary64)) (.f64 x x)) (.f64 x x)))
(.f64 (.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal -1/180 binary64)) (.f64 x x)) (.f64 x x))
(.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal -1/180 binary64)) (.f64 x x))
(fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal -1/180 binary64))
(pow.f64 x #s(literal -2 binary64))
x
#s(literal -2 binary64)
#s(literal 1/6 binary64)
#s(literal -1/180 binary64)
(*.f64 x x)

Outputs
#s(approx (log (/ (sinh x) x)) (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))))
(/.f64 (.f64 x x) #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64))))
(*.f64 x x)
x
#s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))
(fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64))
#s(literal 1/5 binary64)
#s(literal 6 binary64)
#s(approx (log (/ (sinh x) x)) (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) #s(literal 6 binary64))))
#s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) #s(literal 6 binary64))) x))
(/.f64 (.f64 x x) #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) #s(literal 6 binary64)))
(.f64 (/.f64 x #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) #s(literal 6 binary64))) x)
(*.f64 x x)
x
#s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64))
#s(literal 6 binary64)
#s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64)))) x))
#s(approx (log (/ (sinh x) x)) (.f64 (.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64)))) x)
(.f64 (.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))))
(.f64 (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64)) x)
x
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
#s(literal 1 binary64)
(fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))
#s(literal -1/180 binary64)
(*.f64 x x)
#s(literal 1/6 binary64)
#s(approx (log (/ (sinh x) x)) #s(approx (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (.f64 #s(approx (- (/ 1/6 ( x x)) 1/180) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (log (/ (sinh x) x)) #s(approx (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (- (/ 1/6 ( x x)) 1/180) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64))))))
#s(approx (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (.f64 #s(approx (- (/ 1/6 ( x x)) 1/180) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (- (/ 1/6 ( x x)) 1/180) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)))))
(.f64 #s(approx (- (/ 1/6 ( x x)) 1/180) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (- (/ 1/6 ( x x)) 1/180) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64))))
#s(approx (- (/ 1/6 (* x x)) 1/180) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))
#s(approx (- (/ 1/6 (* x x)) 1/180) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
(*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
(*.f64 x x)
x
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
#s(approx (log (/ (sinh x) x)) #s(approx (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (.f64 (.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal -1/180 binary64)) (.f64 x x)) (.f64 x x))))
#s(approx (log (/ (sinh x) x)) #s(approx (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (.f64 (.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)))
#s(approx (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (.f64 (.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal -1/180 binary64)) (.f64 x x)) (.f64 x x)))
#s(approx (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (.f64 (.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal -1/180 binary64)) (.f64 x x)) (.f64 x x))
(.f64 (.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal -1/180 binary64)) (.f64 x x))
(fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal -1/180 binary64))
(pow.f64 x #s(literal -2 binary64))
x
#s(literal -2 binary64)
#s(literal 1/6 binary64)
#s(literal -1/180 binary64)
(*.f64 x x)

localize514.0ms (5.1%)

Memory

11.7MiB live, 135.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.203125	(.f64 (.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal -1/180 binary64)) (.f64 x x)) (.f64 x x))
accuracy	0.387261454200275	(fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal -1/180 binary64))
accuracy	1.6550120780312363	#s(approx (log (/ (sinh x) x)) #s(approx (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (.f64 (.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal -1/180 binary64)) (.f64 x x)) (.f64 x x))))
accuracy	27.534460089352734	(.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal -1/180 binary64)) (.f64 x x))
accuracy	0.19988251953688402	(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
accuracy	1.6550120780312363	#s(approx (log (/ (sinh x) x)) #s(approx (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (.f64 #s(approx (- (/ 1/6 ( x x)) 1/180) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))))
accuracy	1.9804075529609715	#s(approx (- (/ 1/6 (* x x)) 1/180) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))
accuracy	44.28712454740095	(.f64 #s(approx (- (/ 1/6 ( x x)) 1/180) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
accuracy	0.01171875	(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
accuracy	0.02734375	(fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))
accuracy	0.171875	(.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64)))) x)
accuracy	1.6550120780312363	#s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64)))) x))
accuracy	0.0	(*.f64 x x)
accuracy	0.12109375	(/.f64 (.f64 x x) #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) #s(literal 6 binary64)))
accuracy	1.6550120780312363	#s(approx (log (/ (sinh x) x)) (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) #s(literal 6 binary64))))
accuracy	1.9804548098227024	#s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64))
accuracy	0.0078125	(fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64))
accuracy	0.12109375	(/.f64 (.f64 x x) #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64))))
accuracy	1.6478248152566792	#s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))
accuracy	1.6550120780312363	#s(approx (log (/ (sinh x) x)) (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))))

Samples

344.0ms	172×	2	valid
138.0ms	74×	1	valid
3.0ms	10×	0	valid

Compiler

Compiled 233 to 34 computations (85.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 207.0ms

ival-mult: 78.0ms (37.7% of total)

ival-log: 34.0ms (16.4% of total)

ival-sinh: 21.0ms (10.1% of total)

adjust: 20.0ms (9.7% of total)

ival-div: 18.0ms (8.7% of total)

const: 16.0ms (7.7% of total)

ival-pow: 11.0ms (5.3% of total)

ival-add: 6.0ms (2.9% of total)

ival-sub: 2.0ms (1% of total)

exact: 1.0ms (0.5% of total)

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

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

series58.0ms (0.6%)

Memory

-5.8MiB live, 31.8MiB allocated

Counts

23 → 32

Calls

Call 1

Inputs
#s(approx (log (/ (sinh x) x)) (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))))
(/.f64 (.f64 x x) #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64))))
(*.f64 x x)
#s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))
#s(approx (log (/ (sinh x) x)) (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) #s(literal 6 binary64))))
(/.f64 (.f64 x x) #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) #s(literal 6 binary64)))
#s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64))
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))))
#s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64)))) x))
(.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64)))) x)
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
#s(approx (log (/ (sinh x) x)) #s(approx (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (.f64 #s(approx (- (/ 1/6 ( x x)) 1/180) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (.f64 #s(approx (- (/ 1/6 ( x x)) 1/180) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))))
(.f64 #s(approx (- (/ 1/6 ( x x)) 1/180) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
#s(approx (- (/ 1/6 (* x x)) 1/180) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal -1/180 binary64)) (.f64 x x))
#s(approx (log (/ (sinh x) x)) #s(approx (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (.f64 (.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal -1/180 binary64)) (.f64 x x)) (.f64 x x))))
#s(approx (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (.f64 (.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal -1/180 binary64)) (.f64 x x)) (.f64 x x)))
(.f64 (.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal -1/180 binary64)) (.f64 x x)) (.f64 x x))
(fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64))
(fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
(fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal -1/180 binary64))

Outputs
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(pow x 2)
6
(+ 6 (* 1/5 (pow x 2)))
(+ 6 (* (pow x 2) (+ 1/5 (* 1/150 (pow x 2)))))
(+ 6 (* (pow x 2) (+ 1/5 (* (pow x 2) (+ 1/150 (* 1/4500 (pow x 2)))))))
(* 1/6 x)
(* x (+ 1/6 (* -1/180 (pow x 2))))
(/ 1/6 (pow x 2))
(/ (+ 1/6 (* -1/180 (pow x 2))) (pow x 2))
1/6
(+ 1/6 (* -1/180 (pow x 2)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(* -1/180 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(/ -180 (pow x 2))
(* -1 (/ (+ 180 (* 5400 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 5400 (* 162000 (/ 1 (pow x 2)))) (pow x 2))) 180) (pow x 2))
(/ (- (* -1 (/ (+ 162000 (* 4860000 (/ 1 (pow x 2)))) (pow x 4))) (+ 180 (* 5400 (/ 1 (pow x 2))))) (pow x 2))
(* -1/180 (pow x 3))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
-1/180
(- (* 1/6 (/ 1 (pow x 2))) 1/180)
(* -1/180 (pow x 2))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* 1/5 (pow x 2))
(* (pow x 2) (+ 1/5 (* 6 (/ 1 (pow x 2)))))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(* -1 (* (pow x 3) (- 1/180 (* 1/6 (/ 1 (pow x 2))))))

Calls

3 calls:

Time

Variable

Point

Expression

39.0ms

((log (/ (sinh x) x)) (/ (* x x) (/ 1 (+ (* -1/180 (* x x)) 1/6))) (* x x) (/ 1 (+ (* -1/180 (* x x)) 1/6)) (log (/ (sinh x) x)) (/ (* x x) (/ 1 (+ (* -1/180 (* x x)) 1/6))) (/ 1 (+ (* -1/180 (* x x)) 1/6)) (/ x (/ 1 (+ (* -1/180 (* x x)) 1/6))) (log (/ (sinh x) x)) (* (/ x (/ 1 (+ (* -1/180 (* x x)) 1/6))) x) (/ 1 (+ (* -1/180 (* x x)) 1/6)) (log (/ (sinh x) x)) (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (* (- (/ 1/6 (* x x)) 1/180) (pow x 4)) (- (/ 1/6 (* x x)) 1/180) (* (+ (* (pow x -2) 1/6) -1/180) (* x x)) (log (/ (sinh x) x)) (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (* (* (+ (* (pow x -2) 1/6) -1/180) (* x x)) (* x x)) (+ (* 1/5 (* x x)) 6) (+ (* -1/180 (* x x)) 1/6) (/ 1/6 (* x x)) (+ (* (pow x -2) 1/6) -1/180))

9.0ms

inf

((log (/ (sinh x) x)) (/ (* x x) (/ 1 (+ (* -1/180 (* x x)) 1/6))) (* x x) (/ 1 (+ (* -1/180 (* x x)) 1/6)) (log (/ (sinh x) x)) (/ (* x x) (/ 1 (+ (* -1/180 (* x x)) 1/6))) (/ 1 (+ (* -1/180 (* x x)) 1/6)) (/ x (/ 1 (+ (* -1/180 (* x x)) 1/6))) (log (/ (sinh x) x)) (* (/ x (/ 1 (+ (* -1/180 (* x x)) 1/6))) x) (/ 1 (+ (* -1/180 (* x x)) 1/6)) (log (/ (sinh x) x)) (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (* (- (/ 1/6 (* x x)) 1/180) (pow x 4)) (- (/ 1/6 (* x x)) 1/180) (* (+ (* (pow x -2) 1/6) -1/180) (* x x)) (log (/ (sinh x) x)) (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (* (* (+ (* (pow x -2) 1/6) -1/180) (* x x)) (* x x)) (+ (* 1/5 (* x x)) 6) (+ (* -1/180 (* x x)) 1/6) (/ 1/6 (* x x)) (+ (* (pow x -2) 1/6) -1/180))

9.0ms

-inf

((log (/ (sinh x) x)) (/ (* x x) (/ 1 (+ (* -1/180 (* x x)) 1/6))) (* x x) (/ 1 (+ (* -1/180 (* x x)) 1/6)) (log (/ (sinh x) x)) (/ (* x x) (/ 1 (+ (* -1/180 (* x x)) 1/6))) (/ 1 (+ (* -1/180 (* x x)) 1/6)) (/ x (/ 1 (+ (* -1/180 (* x x)) 1/6))) (log (/ (sinh x) x)) (* (/ x (/ 1 (+ (* -1/180 (* x x)) 1/6))) x) (/ 1 (+ (* -1/180 (* x x)) 1/6)) (log (/ (sinh x) x)) (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (* (- (/ 1/6 (* x x)) 1/180) (pow x 4)) (- (/ 1/6 (* x x)) 1/180) (* (+ (* (pow x -2) 1/6) -1/180) (* x x)) (log (/ (sinh x) x)) (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (* (* (+ (* (pow x -2) 1/6) -1/180) (* x x)) (* x x)) (+ (* 1/5 (* x x)) 6) (+ (* -1/180 (* x x)) 1/6) (/ 1/6 (* x x)) (+ (* (pow x -2) 1/6) -1/180))

simplify320.0ms (3.2%)

Memory

-0.8MiB live, 81.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	101	296
1	251	295
2	664	292
3	1688	288
4	4002	284
5	7915	284
0	8001	265

Stop Event

1×	iter limit
1×	node limit

Counts

32 → 32

Calls

Call 1

Inputs
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(pow x 2)
6
(+ 6 (* 1/5 (pow x 2)))
(+ 6 (* (pow x 2) (+ 1/5 (* 1/150 (pow x 2)))))
(+ 6 (* (pow x 2) (+ 1/5 (* (pow x 2) (+ 1/150 (* 1/4500 (pow x 2)))))))
(* 1/6 x)
(* x (+ 1/6 (* -1/180 (pow x 2))))
(/ 1/6 (pow x 2))
(/ (+ 1/6 (* -1/180 (pow x 2))) (pow x 2))
1/6
(+ 1/6 (* -1/180 (pow x 2)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(* -1/180 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(/ -180 (pow x 2))
(* -1 (/ (+ 180 (* 5400 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 5400 (* 162000 (/ 1 (pow x 2)))) (pow x 2))) 180) (pow x 2))
(/ (- (* -1 (/ (+ 162000 (* 4860000 (/ 1 (pow x 2)))) (pow x 4))) (+ 180 (* 5400 (/ 1 (pow x 2))))) (pow x 2))
(* -1/180 (pow x 3))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
-1/180
(- (* 1/6 (/ 1 (pow x 2))) 1/180)
(* -1/180 (pow x 2))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* 1/5 (pow x 2))
(* (pow x 2) (+ 1/5 (* 6 (/ 1 (pow x 2)))))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(* -1 (* (pow x 3) (- 1/180 (* 1/6 (/ 1 (pow x 2))))))

Outputs
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #s(literal 1/2835 binary64)) (.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(pow x 2)
(*.f64 x x)
6
#s(literal 6 binary64)
(+ 6 (* 1/5 (pow x 2)))
(fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64))
(+ 6 (* (pow x 2) (+ 1/5 (* 1/150 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1/150 binary64) (.f64 x x) #s(literal 1/5 binary64)) (.f64 x x) #s(literal 6 binary64))
(+ 6 (* (pow x 2) (+ 1/5 (* (pow x 2) (+ 1/150 (* 1/4500 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/4500 binary64) (.f64 x x) #s(literal 1/150 binary64)) (.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64))
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* x (+ 1/6 (* -1/180 (pow x 2))))
(.f64 (fma.f64 (.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)) x)
(/ 1/6 (pow x 2))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
(/ (+ 1/6 (* -1/180 (pow x 2))) (pow x 2))
(-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* -1/180 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))) (log.f64 x))
(* -1/180 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/180 binary64))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)) x) x)
(/ -180 (pow x 2))
(/.f64 #s(literal -180 binary64) (*.f64 x x))
(* -1 (/ (+ 180 (* 5400 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (/.f64 (-.f64 #s(literal -180 binary64) (/.f64 #s(literal 5400 binary64) (*.f64 x x))) x) x)
(/ (- (* -1 (/ (+ 5400 (* 162000 (/ 1 (pow x 2)))) (pow x 2))) 180) (pow x 2))
(/.f64 (-.f64 (/.f64 #s(literal -180 binary64) x) (/.f64 (+.f64 (/.f64 #s(literal 162000 binary64) (*.f64 x x)) #s(literal 5400 binary64)) (pow.f64 x #s(literal 3 binary64)))) x)
(/ (- (* -1 (/ (+ 162000 (* 4860000 (/ 1 (pow x 2)))) (pow x 4))) (+ 180 (* 5400 (/ 1 (pow x 2))))) (pow x 2))
(/.f64 (-.f64 (-.f64 #s(literal -180 binary64) (/.f64 #s(literal 5400 binary64) (.f64 x x))) (/.f64 (+.f64 (/.f64 #s(literal 4860000 binary64) (.f64 x x)) #s(literal 162000 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 x x))
(* -1/180 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/180 binary64))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(.f64 (fma.f64 (.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)) x)
-1/180
#s(literal -1/180 binary64)
(- (* 1/6 (/ 1 (pow x 2))) 1/180)
(-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64))
(* -1/180 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/180 binary64))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64))
(* 1/5 (pow x 2))
(.f64 #s(literal 1/5 binary64) (.f64 x x))
(* (pow x 2) (+ 1/5 (* 6 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(* -1 (* (pow x 3) (- 1/180 (* 1/6 (/ 1 (pow x 2))))))
(.f64 (fma.f64 (.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)) x)

rewrite282.0ms (2.8%)

Memory

12.5MiB live, 119.3MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	45	349
0	66	337
1	216	327
2	1171	327
0	8587	327

Stop Event

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

Counts

23 → 722

Calls

Call 1

Inputs
#s(approx (log (/ (sinh x) x)) (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))))
(/.f64 (.f64 x x) #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64))))
(*.f64 x x)
#s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))
#s(approx (log (/ (sinh x) x)) (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) #s(literal 6 binary64))))
(/.f64 (.f64 x x) #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) #s(literal 6 binary64)))
#s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64))
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))))
#s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64)))) x))
(.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64)))) x)
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
#s(approx (log (/ (sinh x) x)) #s(approx (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (.f64 #s(approx (- (/ 1/6 ( x x)) 1/180) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (.f64 #s(approx (- (/ 1/6 ( x x)) 1/180) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))))
(.f64 #s(approx (- (/ 1/6 ( x x)) 1/180) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
#s(approx (- (/ 1/6 (* x x)) 1/180) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal -1/180 binary64)) (.f64 x x))
#s(approx (log (/ (sinh x) x)) #s(approx (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (.f64 (.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal -1/180 binary64)) (.f64 x x)) (.f64 x x))))
#s(approx (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (.f64 (.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal -1/180 binary64)) (.f64 x x)) (.f64 x x)))
(.f64 (.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal -1/180 binary64)) (.f64 x x)) (.f64 x x))
(fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64))
(fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
(fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal -1/180 binary64))

Outputs
#s(approx (log (/ (sinh x) x)) (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))))
(.f64 (.f64 (pow.f64 #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64))) #s(literal -1 binary64)) x) x)
(.f64 (.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) x)) (/.f64 #s(literal -1 binary64) #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))))
(.f64 (pow.f64 (.f64 #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (.f64 x x) #s(literal 6 binary64))) (pow.f64 x #s(literal -2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (.f64 #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64))) (pow.f64 x #s(literal -2 binary64))) #s(literal -1/2 binary64)))
(.f64 (/.f64 x #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))) x)
(.f64 (pow.f64 #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (.f64 x x) #s(literal 6 binary64))) #s(literal -1 binary64)) (.f64 x x))
(.f64 (.f64 (neg.f64 x) x) (/.f64 #s(literal -1 binary64) #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))))
(.f64 #s(literal -1 binary64) (/.f64 (.f64 (neg.f64 x) x) #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))))
(.f64 (neg.f64 x) (.f64 x (/.f64 #s(literal -1 binary64) #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64))))))
(.f64 (neg.f64 x) (/.f64 (neg.f64 x) #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))))
(.f64 (/.f64 (.f64 x x) #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))))
(.f64 (.f64 x x) (pow.f64 #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64))) #s(literal -1 binary64)))
(.f64 x (.f64 (pow.f64 #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64))) #s(literal -1 binary64)) x))
(.f64 x (/.f64 x #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))))
(pow.f64 (.f64 #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64))) (pow.f64 x #s(literal -2 binary64))) #s(literal -1 binary64))
(/.f64 (/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))) (pow.f64 x #s(literal -1 binary64)))
(/.f64 (.f64 (neg.f64 x) x) (neg.f64 #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (.f64 x x) #s(literal 6 binary64))) (.f64 (neg.f64 x) x)))
(/.f64 #s(literal 1 binary64) (.f64 #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64))) (pow.f64 x #s(literal -2 binary64))))
(/.f64 (.f64 x x) #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64))))
(/.f64 x (/.f64 #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64))) x))
(neg.f64 (/.f64 #s(literal -1 binary64) (.f64 #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64))) (pow.f64 x #s(literal -2 binary64)))))
(neg.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 x) x) #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64))))))
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(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/216 binary64) #s(literal -1/5832000 binary64)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/36 binary64) (fma.f64 #s(literal 1/1080 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/32400 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/216 binary64)) (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/36 binary64) (fma.f64 #s(literal 1/1080 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/32400 binary64)))) (.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/36 binary64) (fma.f64 #s(literal 1/1080 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/32400 binary64))) #s(literal 1/5832000 binary64))) (.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/36 binary64) (fma.f64 #s(literal 1/1080 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/32400 binary64))) (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/36 binary64) (fma.f64 #s(literal 1/1080 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/32400 binary64)))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal 1/180 binary64))) (.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal 1/180 binary64)) #s(literal 1/32400 binary64))) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal 1/180 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal 1/180 binary64))))
(/.f64 (-.f64 #s(literal 1/32400 binary64) (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -1/180 binary64)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/36 binary64) #s(literal -1/32400 binary64))) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -1/180 binary64)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/216 binary64) #s(literal -1/5832000 binary64))) (neg.f64 (+.f64 #s(literal 1/32400 binary64) (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/36 binary64) (*.f64 #s(literal 1/1080 binary64) (pow.f64 x #s(literal -2 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/216 binary64) #s(literal -1/5832000 binary64))) (neg.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/36 binary64) (fma.f64 #s(literal 1/1080 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/32400 binary64)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/36 binary64) #s(literal -1/32400 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal 1/180 binary64)))
(/.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/216 binary64) #s(literal -1/5832000 binary64)) (+.f64 #s(literal 1/32400 binary64) (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/36 binary64) (*.f64 #s(literal 1/1080 binary64) (pow.f64 x #s(literal -2 binary64))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/216 binary64) #s(literal -1/5832000 binary64)) (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/36 binary64) (fma.f64 #s(literal 1/1080 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/32400 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal -1/180 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -1/180 binary64)) (-.f64 #s(literal 1/32400 binary64) (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/32400 binary64) (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/36 binary64) (*.f64 #s(literal 1/1080 binary64) (pow.f64 x #s(literal -2 binary64))))) (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/216 binary64) #s(literal -1/5832000 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal -1/180 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal -1/180 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/36 binary64) #s(literal -1/32400 binary64))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal 1/180 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/216 binary64) #s(literal -1/5832000 binary64))) (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/36 binary64) (fma.f64 #s(literal 1/1080 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/32400 binary64)))))
(neg.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/36 binary64) #s(literal -1/32400 binary64)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -1/180 binary64))))
(neg.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/216 binary64) #s(literal -1/5832000 binary64)) (neg.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/36 binary64) (fma.f64 #s(literal 1/1080 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/32400 binary64))))))
(fma.f64 (*.f64 (/.f64 #s(literal 1/6 binary64) x) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1/180 binary64))
(fma.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal -1/2 binary64)) (pow.f64 (.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal -1/2 binary64)) #s(literal -1/180 binary64))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (.f64 (pow.f64 x #s(literal -1/2 binary64)) (.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/6 binary64))) #s(literal -1/180 binary64))
(fma.f64 (/.f64 #s(literal -1/6 binary64) x) (/.f64 #s(literal -1 binary64) x) #s(literal -1/180 binary64))
(fma.f64 (/.f64 #s(literal 1/6 binary64) x) (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1/180 binary64))
(fma.f64 (/.f64 #s(literal 1/6 binary64) x) (pow.f64 x #s(literal -1 binary64)) #s(literal -1/180 binary64))
(fma.f64 (pow.f64 x #s(literal -1 binary64)) (.f64 (.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) #s(literal -1/180 binary64))
(fma.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/6 binary64)) #s(literal -1/180 binary64))
(fma.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1/6 binary64) x) #s(literal -1/180 binary64))
(fma.f64 (*.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/216 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/36 binary64) (fma.f64 #s(literal 1/1080 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/32400 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 1/5832000 binary64) (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/36 binary64) (fma.f64 #s(literal 1/1080 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/32400 binary64))))))
(fma.f64 (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal 1/180 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal -1/32400 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -1/180 binary64)))))
(fma.f64 #s(literal -1/6 binary64) (*.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal -1/180 binary64))
(fma.f64 #s(literal -1/6 binary64) (neg.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal -1/180 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal -1/180 binary64))
(fma.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64) #s(literal -1/180 binary64))
(fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal -1/180 binary64))
(fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -1/180 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal -1/180 binary64))
(-.f64 (/.f64 #s(literal 1/32400 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -1/180 binary64))) (/.f64 (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -1/180 binary64))))
(-.f64 (/.f64 (.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/216 binary64)) (+.f64 #s(literal 1/32400 binary64) (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/36 binary64) (.f64 #s(literal 1/1080 binary64) (pow.f64 x #s(literal -2 binary64)))))) (/.f64 #s(literal 1/5832000 binary64) (+.f64 #s(literal 1/32400 binary64) (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/36 binary64) (*.f64 #s(literal 1/1080 binary64) (pow.f64 x #s(literal -2 binary64)))))))
(-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/216 binary64)) (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/36 binary64) (fma.f64 #s(literal 1/1080 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/32400 binary64)))) (/.f64 #s(literal 1/5832000 binary64) (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/36 binary64) (fma.f64 #s(literal 1/1080 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/32400 binary64)))))
(-.f64 (/.f64 (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal 1/180 binary64))) (/.f64 #s(literal -1/32400 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -1/180 binary64))))
(-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/180 binary64))
(-.f64 #s(literal -1/180 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal -2 binary64))))
(+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/216 binary64)) (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/36 binary64) (fma.f64 #s(literal 1/1080 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/32400 binary64)))) (neg.f64 (/.f64 #s(literal 1/5832000 binary64) (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/36 binary64) (fma.f64 #s(literal 1/1080 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/32400 binary64))))))
(+.f64 (/.f64 (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal 1/180 binary64))) (neg.f64 (/.f64 #s(literal -1/32400 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -1/180 binary64)))))
(+.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal -1/180 binary64))
(+.f64 #s(literal -1/180 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)))

eval254.0ms (2.5%)

Memory: -32.9MiB live, 93.5MiB allocated
Compiler: Compiled 25 766 to 3 429 computations (86.7% saved)

prune49.0ms (0.5%)

Memory

12.6MiB live, 50.8MiB allocated

Pruning

16 alts after pruning (6 fresh and 10 done)

	Pruned	Kept	Total
New	835	3	838
Fresh	2	3	5
Picked	3	2	5
Done	0	8	8
Total	840	16	856

Accuracy

99.0%

Counts

856 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	49.0%	(log.f64 (/.f64 (sinh.f64 x) x))
	48.2%	(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))))
	48.0%	(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64))))
✓	47.8%	(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64))))
✓	97.6%	#s(approx (log (/ (sinh x) x)) (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))))
	3.2%	#s(approx (log (/ (sinh x) x)) (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) #s(approx (+ (* 1/5 (* x x)) 6) (.f64 #s(literal 1/5 binary64) (.f64 x x))))))
✓	97.1%	#s(approx (log (/ (sinh x) x)) (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) #s(literal 6 binary64))))
	97.1%	#s(approx (log (/ (sinh x) x)) (/.f64 x (/.f64 #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64)) x)))
✓	97.1%	#s(approx (log (/ (sinh x) x)) (.f64 (fma.f64 (.f64 #s(literal -1/180 binary64) (.f64 x x)) x (.f64 #s(literal 1/6 binary64) x)) x))
	97.1%	#s(approx (log (/ (sinh x) x)) (.f64 (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
	97.0%	#s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) #s(literal 6 binary64))) x))
✓	97.3%	#s(approx (log (/ (sinh x) x)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #s(literal 1/2835 binary64)) (.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
✓	97.5%	#s(approx (log (/ (sinh x) x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))
✓	97.1%	#s(approx (log (/ (sinh x) x)) (.f64 (.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
✓	96.9%	#s(approx (log (/ (sinh x) x)) (.f64 (.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
✓	96.9%	#s(approx (log (/ (sinh x) x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))

Compiler

Compiled 898 to 366 computations (59.2% saved)

regimes19.0ms (0.2%)

Memory

25.1MiB live, 25.1MiB allocated

Counts

27 → 1

Calls

Call 1

Inputs
#s(approx (log (/ (sinh x) x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (log (/ (sinh x) x)) (.f64 (.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
#s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) #s(literal 6 binary64))) x))
#s(approx (log (/ (sinh x) x)) (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) #s(literal 6 binary64))))
#s(approx (log (/ (sinh x) x)) (.f64 (.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (log (/ (sinh x) x)) (.f64 (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (log (/ (sinh x) x)) (/.f64 x (/.f64 #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64)) x)))
#s(approx (log (/ (sinh x) x)) (.f64 (fma.f64 (.f64 #s(literal -1/180 binary64) (.f64 x x)) x (.f64 #s(literal 1/6 binary64) x)) x))
#s(approx (log (/ (sinh x) x)) (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) #s(approx (+ (* 1/5 (* x x)) 6) (.f64 #s(literal 1/5 binary64) (.f64 x x))))))
#s(approx (log (/ (sinh x) x)) (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))))
#s(approx (log (/ (sinh x) x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64)))) x))
#s(approx (log (/ (sinh x) x)) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64)))))
#s(approx (log (/ (sinh x) x)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #s(literal 1/2835 binary64)) (.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64))))
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))))
#s(approx (log (/ (sinh x) x)) (/.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) (pow.f64 x #s(literal -2 binary64))))
#s(approx (log (/ (sinh x) x)) #s(approx (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (.f64 #s(approx (- (/ 1/6 ( x x)) 1/180) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))))
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64))))
#s(approx (log (/ (sinh x) x)) #s(approx (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (log (/ (sinh x) x)) #s(approx (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (.f64 (.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal -1/180 binary64)) (.f64 x x)) (.f64 x x))))
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (log (/ (sinh x) x)) (/.f64 x (/.f64 (pow.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64)) x)))
#s(approx (log (/ (sinh x) x)) (/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal -1/6 binary64))))
#s(approx (log (/ (sinh x) x)) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal -1/6 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) #s(literal -1/36 binary64)) x))) x))
(log.f64 (/.f64 (sinh.f64 x) x))
#s(approx (log (/ (sinh x) x)) #s(approx (* (* (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) x) x) (.f64 (-.f64 (/.f64 #s(literal -1/180 binary64) (.f64 x x)) (-.f64 #s(literal -1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 6 binary64)))))

Outputs
#s(approx (log (/ (sinh x) x)) (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))))

Calls

3 calls:

7.0ms	x
5.0ms	(/.f64 (sinh.f64 x) x)
5.0ms	(log.f64 (/.f64 (sinh.f64 x) x))

Results

Accuracy	Segments	Branch
97.6%	1	`x`
97.6%	1	`(log.f64 (/.f64 (sinh.f64 x) x))`
97.6%	1	`(/.f64 (sinh.f64 x) x)`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes35.0ms (0.3%)

Memory

-36.3MiB live, 9.2MiB allocated

Counts

9 → 1

Calls

Call 1

Inputs
#s(approx (log (/ (sinh x) x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (log (/ (sinh x) x)) (.f64 (.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
#s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) #s(literal 6 binary64))) x))
#s(approx (log (/ (sinh x) x)) (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) #s(literal 6 binary64))))
#s(approx (log (/ (sinh x) x)) (.f64 (.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (log (/ (sinh x) x)) (.f64 (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (log (/ (sinh x) x)) (/.f64 x (/.f64 #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64)) x)))
#s(approx (log (/ (sinh x) x)) (.f64 (fma.f64 (.f64 #s(literal -1/180 binary64) (.f64 x x)) x (.f64 #s(literal 1/6 binary64) x)) x))
#s(approx (log (/ (sinh x) x)) (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) #s(approx (+ (* 1/5 (* x x)) 6) (.f64 #s(literal 1/5 binary64) (.f64 x x))))))

Outputs
#s(approx (log (/ (sinh x) x)) (.f64 (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))

Calls

3 calls:

29.0ms	(/.f64 (sinh.f64 x) x)
3.0ms	x
2.0ms	(log.f64 (/.f64 (sinh.f64 x) x))

Results

Accuracy	Segments	Branch
97.1%	1	`x`
97.1%	1	`(log.f64 (/.f64 (sinh.f64 x) x))`
97.1%	1	`(/.f64 (sinh.f64 x) x)`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes6.0ms (0.1%)

Memory

7.2MiB live, 7.2MiB allocated

Counts

5 → 1

Calls

Call 1

Inputs
#s(approx (log (/ (sinh x) x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (log (/ (sinh x) x)) (.f64 (.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
#s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) #s(literal 6 binary64))) x))
#s(approx (log (/ (sinh x) x)) (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) #s(literal 6 binary64))))
#s(approx (log (/ (sinh x) x)) (.f64 (.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))

Outputs
#s(approx (log (/ (sinh x) x)) (.f64 (.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))

Calls

3 calls:

2.0ms	x
2.0ms	(log.f64 (/.f64 (sinh.f64 x) x))
1.0ms	(/.f64 (sinh.f64 x) x)

Results

Accuracy	Segments	Branch
97.1%	1	`x`
97.1%	1	`(log.f64 (/.f64 (sinh.f64 x) x))`
97.1%	1	`(/.f64 (sinh.f64 x) x)`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes5.0ms (0%)

Memory

8.6MiB live, 8.6MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (log (/ (sinh x) x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (log (/ (sinh x) x)) (.f64 (.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
#s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) #s(literal 6 binary64))) x))
#s(approx (log (/ (sinh x) x)) (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) #s(literal 6 binary64))))

Outputs
#s(approx (log (/ (sinh x) x)) (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) #s(literal 6 binary64))))

Calls

3 calls:

2.0ms	x
1.0ms	(log.f64 (/.f64 (sinh.f64 x) x))
1.0ms	(/.f64 (sinh.f64 x) x)

Results

Accuracy	Segments	Branch
97.1%	1	`x`
97.1%	1	`(log.f64 (/.f64 (sinh.f64 x) x))`
97.1%	1	`(/.f64 (sinh.f64 x) x)`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes4.0ms (0%)

Memory

6.1MiB live, 6.1MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))

#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))

#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64))) x))

Outputs
#s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) #s(literal 6 binary64))) x))

Calls

3 calls:

2.0ms	x
1.0ms	(log.f64 (/.f64 (sinh.f64 x) x))
1.0ms	(/.f64 (sinh.f64 x) x)

Results

Accuracy	Segments	Branch
97.0%	1	`x`
97.0%	1	`(log.f64 (/.f64 (sinh.f64 x) x))`
97.0%	1	`(/.f64 (sinh.f64 x) x)`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes4.0ms (0%)

Memory

6.6MiB live, 6.6MiB allocated

Accuracy

Total -0.1b remaining (-5.2%)

Threshold costs -0.1b (-5.2%)

Counts

2 → 1

Calls

Call 1

Inputs

#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))

#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))

Outputs
#s(approx (log (/ (sinh x) x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))

Calls

3 calls:

1.0ms	x
1.0ms	(log.f64 (/.f64 (sinh.f64 x) x))
1.0ms	(/.f64 (sinh.f64 x) x)

Results

Accuracy	Segments	Branch
96.9%	1	`x`
96.9%	1	`(log.f64 (/.f64 (sinh.f64 x) x))`
96.9%	1	`(/.f64 (sinh.f64 x) x)`

Compiler

Compiled 10 to 8 computations (20% saved)

simplify80.0ms (0.8%)

Memory

-12.6MiB live, 62.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	111
1	44	111
2	58	111
3	82	111
4	123	111
5	232	111
6	583	111
7	1714	111
8	3674	111

Stop Event

1×	node limit

Calls

Call 1

Inputs
#s(approx (log (/ (sinh x) x)) (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))))
#s(approx (log (/ (sinh x) x)) (.f64 (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (log (/ (sinh x) x)) (.f64 (.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (log (/ (sinh x) x)) (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) #s(literal 6 binary64))))
#s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) #s(literal 6 binary64))) x))
#s(approx (log (/ (sinh x) x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))

Outputs
#s(approx (log (/ (sinh x) x)) (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))))
#s(approx (log (/ (sinh x) x)) (.f64 (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (log (/ (sinh x) x)) (.f64 (.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (log (/ (sinh x) x)) (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) #s(literal 6 binary64))))
#s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) #s(literal 6 binary64))) x))
#s(approx (log (/ (sinh x) x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))

soundness763.0ms (7.6%)

Memory

0.4MiB live, 509.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	240
0	52	240
1	192	240
2	1262	240
0	8434	240
0	45	349
0	66	337
1	216	327
2	1171	327
0	8587	327
0	139	496
1	359	495
2	970	492
3	2444	488
4	5896	484
0	8424	454
0	59	187
1	157	186
2	395	180
3	1187	180
4	2108	180
5	3940	180
6	4560	179
7	4959	179
8	6431	179
0	8054	161

Stop Event

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

Compiler

Compiled 273 to 150 computations (45.1% saved)

preprocess128.0ms (1.3%)

Memory: 12.0MiB live, 134.4MiB allocated
Compiler: Compiled 292 to 110 computations (62.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze103.0ms (1%)

sample4.1s (41.1%)

explain191.0ms (1.9%)

preprocess163.0ms (1.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify110.0ms (1.1%)

localize142.0ms (1.4%)

series72.0ms (0.7%)

simplify185.0ms (1.8%)

rewrite132.0ms (1.3%)

eval62.0ms (0.6%)

prune36.0ms (0.4%)

simplify192.0ms (1.9%)

localize308.0ms (3.1%)

series78.0ms (0.8%)

simplify213.0ms (2.1%)

rewrite197.0ms (2%)

eval71.0ms (0.7%)

prune21.0ms (0.2%)

simplify114.0ms (1.1%)

localize281.0ms (2.8%)

series27.0ms (0.3%)

simplify132.0ms (1.3%)

rewrite204.0ms (2%)

eval73.0ms (0.7%)

prune89.0ms (0.9%)

simplify208.0ms (2.1%)

localize514.0ms (5.1%)

series58.0ms (0.6%)

simplify320.0ms (3.2%)

rewrite282.0ms (2.8%)

eval254.0ms (2.5%)

prune49.0ms (0.5%)

regimes19.0ms (0.2%)

regimes35.0ms (0.3%)

regimes6.0ms (0.1%)

regimes5.0ms (0%)

regimes4.0ms (0%)

regimes4.0ms (0%)

simplify80.0ms (0.8%)

soundness763.0ms (7.6%)

preprocess128.0ms (1.3%)

end0.0ms (0%)

Profiling