Metrics for bug500, discussion (missed optimization)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze102.0ms (1%)

Memory

11.9MiB live, 140.0MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
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 (38.6%)

Memory

-99.2MiB live, 3 105.4MiB allocated

Samples

2.1s	5 564×	2	valid
643.0ms	7 842×	1	exit
376.0ms	2 324×	1	valid
22.0ms	368×	0	valid
0.0ms	1×	5	exit

Precisions

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

ival-log: 1.2s (49.5% of total)

ival-sinh: 732.0ms (29.5% of total)

ival-div: 288.0ms (11.6% of total)

adjust: 213.0ms (8.6% of total)

ival-true: 13.0ms (0.5% of total)

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

Bogosity

explain195.0ms (1.8%)

Memory

2.3MiB live, 240.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
136	116	(-3.6132987860582006e-255)	-	`(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	247	0
`log.f64`	`(log.f64 (/.f64 (sinh.f64 x) x))`	oflow-rescue	5	0
↳	`(sinh.f64 x)`	overflow	5
↳	`(/.f64 (sinh.f64 x) x)`	overflow	5

Confusion

	Predicted +	Predicted -
+	136	0
-	116	4

Precision

0.5396825396825397

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	136	0	0
-	116	0	4

Precision?

0.5396825396825397

Recall?

1.0

Freqs

test

number	freq
0	4
1	252

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

123.0ms	324×	2	valid
25.0ms	164×	1	valid
1.0ms	24×	0	valid

Compiler

Compiled 45 to 20 computations (55.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 127.0ms

ival-log: 68.0ms (53.5% of total)

ival-sinh: 36.0ms (28.3% of total)

ival-div: 15.0ms (11.8% of total)

adjust: 8.0ms (6.3% of total)

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

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

preprocess168.0ms (1.6%)

Memory

6.1MiB live, 90.8MiB 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: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.9%	(log.f64 (/.f64 (sinh.f64 x) x))

Compiler

Compiled 5 to 4 computations (20% saved)

simplify107.0ms (1%)

Memory

-4.0MiB live, 34.9MiB 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

localize96.0ms (0.9%)

Memory

27.3MiB live, 62.8MiB 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	30.808547373480135	(log.f64 (/.f64 (sinh.f64 x) x))

Samples

77.0ms	162×	2	valid
11.0ms	82×	1	valid
1.0ms	12×	0	valid

Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 78.0ms

ival-log: 48.0ms (61.2% of total)

ival-sinh: 18.0ms (22.9% of total)

ival-div: 8.0ms (10.2% of total)

adjust: 4.0ms (5.1% of total)

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

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

series110.0ms (1%)

Memory

-20.0MiB live, 55.6MiB 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
56.0ms	x	@	-inf	((log (/ (sinh x) x)) (/ (sinh x) x) (sinh x))
51.0ms	x	@	inf	((log (/ (sinh x) x)) (/ (sinh x) x) (sinh x))
2.0ms	x	@	0	((log (/ (sinh x) x)) (/ (sinh x) x) (sinh x))

simplify238.0ms (2.3%)

Memory

15.5MiB live, 125.6MiB 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)))

rewrite172.0ms (1.6%)

Memory

-22.7MiB live, 147.7MiB 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 (.f64 (.f64 #s(literal -2 binary64) (cosh.f64 x)) (.f64 #s(literal 2 binary64) (sinh.f64 x))) (neg.f64 (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.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))

eval66.0ms (0.6%)

Memory: 25.4MiB live, 105.9MiB allocated
Compiler: Compiled 8 848 to 1 621 computations (81.7% saved)

prune12.0ms (0.1%)

Memory

-9.8MiB live, 28.9MiB 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

98.2%

Counts

460 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	51.8%	(-.f64 (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 x) x))) (log.f64 #s(literal 2 binary64)))
✓	51.9%	(log.f64 (/.f64 (sinh.f64 x) x))
	50.8%	(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))))
▶	50.8%	(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))))
▶	50.6%	(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))))
▶	96.6%	#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))
▶	96.2%	#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))
▶	96.0%	#s(approx (log (/ (sinh x) x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))

Compiler

Compiled 223 to 150 computations (32.7% saved)

simplify404.0ms (3.8%)

Memory

-11.2MiB live, 146.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))
cost-diff	0	(fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64))
cost-diff	0	#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)))
cost-diff	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))))
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 #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	28	232
0	47	232
1	85	232
2	144	232
3	287	232
4	491	232
5	636	232
6	840	232
7	1246	232
8	1834	232
9	2499	232
10	2670	232
11	2862	232
12	3959	232
13	5502	232
14	5870	232
15	6058	232
16	6155	232
17	6201	232
18	6401	232
19	6767	232
20	6787	232
21	6787	232
22	6921	232
23	6943	232
24	6983	232
25	7771	232
0	8123	232

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)
(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)
(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 (/ (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)))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))
#s(literal 1/120 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)
(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)
(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 (/ (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)))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))
#s(literal 1/120 binary64)
(*.f64 x x)
x
#s(literal 1/6 binary64)
#s(literal 1 binary64)

localize321.0ms (3%)

Memory

2.4MiB live, 288.3MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64))
accuracy	0.01953125	(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))
accuracy	2.0958997165588915	#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)))
accuracy	30.808547373480135	(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))))
accuracy	0.0	(*.f64 x x)
accuracy	0.01953125	(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))
accuracy	2.1798470363173035	#s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))
accuracy	30.808547373480135	(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))))
accuracy	0.015625	(fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))
accuracy	0.125	(.f64 (.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
accuracy	0.3671875	(.f64 (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64)) x)
accuracy	2.287322080044978	#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	0.1953125	(.f64 (.f64 x x) #s(literal 1/6 binary64))
accuracy	2.3970549209025203	#s(approx (log (/ (sinh x) x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
accuracy	0.0234375	(fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64))
accuracy	0.109375	(.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	0.375	(.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	2.0098439601156044	#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

230.0ms	162×	2	valid
58.0ms	82×	1	valid
3.0ms	12×	0	valid

Compiler

Compiled 409 to 56 computations (86.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 234.0ms

ival-add: 70.0ms (30% of total)

ival-mult: 45.0ms (19.3% of total)

ival-log: 33.0ms (14.1% of total)

const: 31.0ms (13.3% of total)

adjust: 26.0ms (11.1% of total)

ival-sinh: 19.0ms (8.1% of total)

ival-div: 9.0ms (3.9% of total)

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

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

exact: 0.0ms (0% of total)

series25.0ms (0.2%)

Memory

-4.6MiB live, 32.6MiB allocated

Counts

19 → 47

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))
(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))
(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 (/ (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)))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #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))))
(* 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)
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 (* 1/120 (pow x 2)))
-1/180
(- (* 1/2835 (pow x 2)) 1/180)
(+ (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))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))
(* 1/120 (pow x 4))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/120 (pow x 2))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/2835 (pow x 2))
(* (pow x 2) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(+ (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
13.0ms	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)) (/ (sinh x) x) (+ (* (* x x) 1/6) 1) (log (/ (sinh x) x)) (/ (sinh x) x) (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (+ (* 1/120 (* x x)) 1/6) (+ (* 1/2835 (* x x)) -1/180))
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)) (/ (sinh x) x) (+ (* (* x x) 1/6) 1) (log (/ (sinh x) x)) (/ (sinh x) x) (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (+ (* 1/120 (* x x)) 1/6) (+ (* 1/2835 (* x x)) -1/180))
2.0ms	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)) (/ (sinh x) x) (+ (* (* x x) 1/6) 1) (log (/ (sinh x) x)) (/ (sinh x) x) (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (+ (* 1/120 (* x x)) 1/6) (+ (* 1/2835 (* x x)) -1/180))

Time

Variable

Point

Expression

13.0ms

-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)) (/ (sinh x) x) (+ (* (* x x) 1/6) 1) (log (/ (sinh x) x)) (/ (sinh x) x) (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (+ (* 1/120 (* x x)) 1/6) (+ (* 1/2835 (* x x)) -1/180))

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)) (/ (sinh x) x) (+ (* (* x x) 1/6) 1) (log (/ (sinh x) x)) (/ (sinh x) x) (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (+ (* 1/120 (* x x)) 1/6) (+ (* 1/2835 (* x x)) -1/180))

2.0ms

((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)) (/ (sinh x) x) (+ (* (* x x) 1/6) 1) (log (/ (sinh x) x)) (/ (sinh x) x) (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (+ (* 1/120 (* x x)) 1/6) (+ (* 1/2835 (* x x)) -1/180))

simplify138.0ms (1.3%)

Memory

-1.5MiB live, 116.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	109	437
1	292	436
2	762	436
3	1949	436
4	4817	436
0	8189	404

Stop Event

1×	iter limit
1×	node limit

Counts

47 → 47

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)
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 (* 1/120 (pow x 2)))
-1/180
(- (* 1/2835 (pow x 2)) 1/180)
(+ (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))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))
(* 1/120 (pow x 4))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/120 (pow x 2))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/2835 (pow x 2))
(* (pow x 2) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(+ (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 #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)
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 (* 1/120 (pow x 2)))
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 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))
(+ (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 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) 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 #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))
(* 1/2 (/ (- (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))
(* 1/120 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/120 binary64))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64))
(* 1/120 (pow x 2))
(.f64 #s(literal 1/120 binary64) (.f64 x x))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 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))
(+ (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)

rewrite194.0ms (1.8%)

Memory

18.3MiB live, 173.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	204
0	47	204
1	166	204
2	1082	204
0	8738	204

Stop Event

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

Counts

19 → 498

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))
(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))
(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 (/ (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)))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 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 (.f64 x x) (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))) (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 (.f64 x 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 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) #s(literal 1/6 binary64)) x)) #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 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 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) #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))
(/.f64 (neg.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))) (fma.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (neg.f64 x) #s(literal 1/6 binary64)))
(/.f64 (neg.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))) (neg.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 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) #s(literal 1/6 binary64)) 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)) (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 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) (.f64 x x)) (-.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 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) #s(literal 1/6 binary64)) x)))
(/.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))))
(/.f64 #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 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) #s(literal 1/6 binary64)) x)) (.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))))
(/.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))))
(fma.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) x)) x (.f64 x (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))))
(fma.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) x)) x (.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))
(fma.f64 (.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/6 binary64) (.f64 x (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))))
(fma.f64 (.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))
(fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) x (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(fma.f64 (.f64 #s(literal 1/6 binary64) x) x (.f64 x (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))))
(fma.f64 (.f64 #s(literal 1/6 binary64) x) x (.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))
(fma.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) (.f64 x x) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 x (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))
(fma.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1 binary64) (.f64 x (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))))
(fma.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))
(fma.f64 #s(literal 1/6 binary64) (.f64 x x) (.f64 x (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))))
(fma.f64 #s(literal 1/6 binary64) (.f64 x x) (.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))
(fma.f64 (.f64 x x) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(fma.f64 (.f64 x x) #s(literal 1/6 binary64) (.f64 x (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))))
(fma.f64 (.f64 x x) #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))
(fma.f64 x (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(fma.f64 x (.f64 #s(literal 1/6 binary64) x) (.f64 x (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))))
(fma.f64 x (.f64 #s(literal 1/6 binary64) x) (.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))
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(/.f64 (fma.f64 #s(literal 1/22785532875 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/5832000 binary64)) (+.f64 #s(literal 1/32400 binary64) (fma.f64 #s(literal 1/8037225 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 x x) #s(literal 1/510300 binary64)))))
(/.f64 (fma.f64 #s(literal 1/22785532875 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/5832000 binary64)) (fma.f64 #s(literal 1/8037225 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/32400 binary64) (.f64 #s(literal -1/510300 binary64) (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))) (-.f64 #s(literal 1/32400 binary64) (*.f64 #s(literal 1/8037225 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/32400 binary64) (fma.f64 #s(literal 1/8037225 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 x x) #s(literal 1/510300 binary64)))) (fma.f64 #s(literal 1/22785532875 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/5832000 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 1/8037225 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/32400 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal 1/180 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 1/22785532875 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/5832000 binary64))) (fma.f64 #s(literal 1/8037225 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/32400 binary64) (.f64 #s(literal -1/510300 binary64) (.f64 x x))))))
(neg.f64 (/.f64 (fma.f64 #s(literal 1/8037225 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/32400 binary64)) (fma.f64 #s(literal -1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64))))
(neg.f64 (/.f64 (fma.f64 #s(literal 1/22785532875 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/5832000 binary64)) (neg.f64 (fma.f64 #s(literal 1/8037225 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/32400 binary64) (.f64 #s(literal -1/510300 binary64) (.f64 x x)))))))
(fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64))
(fma.f64 (.f64 #s(literal 1/8037225 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal 1/180 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal -1/32400 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))
(fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64))
(fma.f64 x (*.f64 #s(literal 1/2835 binary64) x) #s(literal -1/180 binary64))
(-.f64 (/.f64 #s(literal 1/32400 binary64) (-.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))) (/.f64 (.f64 #s(literal 1/8037225 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal -1/180 binary64) (.f64 (*.f64 x x) #s(literal 1/2835 binary64)))))
(-.f64 (/.f64 (.f64 #s(literal 1/8037225 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal 1/180 binary64))) (/.f64 #s(literal -1/32400 binary64) (fma.f64 #s(literal -1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64))))
(+.f64 (/.f64 (.f64 #s(literal 1/8037225 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal 1/180 binary64))) (neg.f64 (/.f64 #s(literal -1/32400 binary64) (fma.f64 #s(literal -1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)))))
(+.f64 (.f64 (.f64 x x) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))
(+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))

eval102.0ms (1%)

Memory: -7.2MiB live, 111.6MiB allocated
Compiler: Compiled 17 122 to 2 576 computations (85% saved)

prune22.0ms (0.2%)

Memory

2.3MiB live, 41.3MiB allocated

Pruning

16 alts after pruning (11 fresh and 5 done)

	Pruned	Kept	Total
New	577	9	586
Fresh	0	2	2
Picked	1	4	5
Done	0	1	1
Total	578	16	594

Accuracy

98.3%

Counts

594 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	51.8%	(-.f64 (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 x) x))) (log.f64 #s(literal 2 binary64)))
✓	51.9%	(log.f64 (/.f64 (sinh.f64 x) x))
	50.8%	(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))))
✓	50.8%	(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))))
✓	50.6%	(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))))
▶	2.4%	(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))))
	96.1%	#s(approx (log (/ (sinh x) x)) (/.f64 (.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) #s(literal -1/36 binary64)) x) x) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal -1/6 binary64))))
	96.3%	#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)))))
	96.6%	#s(approx (log (/ (sinh 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)))
▶	96.6%	#s(approx (log (/ (sinh x) x)) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (.f64 x x) (*.f64 #s(literal 1/6 binary64) x)) x))
▶	96.2%	#s(approx (log (/ (sinh x) x)) (.f64 (fma.f64 (.f64 x x) (.f64 #s(literal -1/180 binary64) x) (.f64 #s(literal 1/6 binary64) x)) x))
	96.1%	#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)))
▶	96.3%	#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))
✓	96.2%	#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))
▶	96.0%	#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))
✓	96.0%	#s(approx (log (/ (sinh x) x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))

Compiler

Compiled 509 to 339 computations (33.4% saved)

simplify529.0ms (5%)

Memory

-1.5MiB live, 158.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
cost-diff	0	#s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
cost-diff	0	#s(approx (/ (sinh x) x) #s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)))
cost-diff	0	(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #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 (/.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	1088	(/.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	(*.f64 x x)
cost-diff	0	(.f64 (fma.f64 (.f64 x x) (.f64 #s(literal -1/180 binary64) x) (.f64 #s(literal 1/6 binary64) x)) x)
cost-diff	0	#s(approx (log (/ (sinh x) x)) (.f64 (fma.f64 (.f64 x x) (.f64 #s(literal -1/180 binary64) x) (.f64 #s(literal 1/6 binary64) x)) x))
cost-diff	320	(fma.f64 (.f64 x x) (.f64 #s(literal -1/180 binary64) 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 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)
cost-diff	0	(.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (.f64 x x) (*.f64 #s(literal 1/6 binary64) x)) x)
cost-diff	0	#s(approx (log (/ (sinh x) x)) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (.f64 x x) (*.f64 #s(literal 1/6 binary64) x)) x))
cost-diff	320	(fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (.f64 x x) (.f64 #s(literal 1/6 binary64) x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	380
0	71	376
1	128	361
2	208	361
3	402	361
4	621	361
5	809	361
6	1068	361
7	1605	361
8	2263	361
9	3003	361
10	3355	361
11	3838	361
12	4853	361
13	5987	361
14	6370	361
15	6556	361
16	6622	361
17	6648	361
18	6814	361
19	6852	361
20	6852	361
21	6898	361
22	7327	361
23	7499	361
24	7499	361
25	7499	361
26	7499	361
27	7499	361
28	7515	361
0	7515	351

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (log (/ (sinh x) x)) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (.f64 x x) (*.f64 #s(literal 1/6 binary64) x)) x))
(.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (.f64 x x) (*.f64 #s(literal 1/6 binary64) x)) x)
(fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (.f64 x x) (.f64 #s(literal 1/6 binary64) x))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))
(*.f64 x x)
x
#s(literal 1/2835 binary64)
#s(literal -1/180 binary64)
(*.f64 #s(literal 1/6 binary64) 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))
#s(literal 1/6 binary64)
x
#s(approx (log (/ (sinh x) x)) (.f64 (fma.f64 (.f64 x x) (.f64 #s(literal -1/180 binary64) x) (.f64 #s(literal 1/6 binary64) x)) x))
(.f64 (fma.f64 (.f64 x x) (.f64 #s(literal -1/180 binary64) x) (.f64 #s(literal 1/6 binary64) x)) x)
(fma.f64 (.f64 x x) (.f64 #s(literal -1/180 binary64) x) (*.f64 #s(literal 1/6 binary64) x))
(*.f64 x x)
x
(*.f64 #s(literal -1/180 binary64) x)
#s(literal -1/180 binary64)
(*.f64 #s(literal 1/6 binary64) 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 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)
(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))))
#s(approx (/ (sinh x) x) #s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)))
#s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))
#s(literal 1/120 binary64)
(*.f64 x x)
x
#s(literal 1/6 binary64)

Outputs
#s(approx (log (/ (sinh x) x)) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (.f64 x x) (*.f64 #s(literal 1/6 binary64) x)) x))
#s(approx (log (/ (sinh x) x)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)) (.f64 x x)))
(.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (.f64 x x) (*.f64 #s(literal 1/6 binary64) x)) x)
(.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)) (.f64 x x))
(fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (.f64 x x) (.f64 #s(literal 1/6 binary64) x))
(.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)) x)
(.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)
(.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))
(fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64))
(*.f64 x x)
x
#s(literal 1/2835 binary64)
#s(literal -1/180 binary64)
(*.f64 #s(literal 1/6 binary64) 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))
#s(literal 1/6 binary64)
x
#s(approx (log (/ (sinh x) x)) (.f64 (fma.f64 (.f64 x x) (.f64 #s(literal -1/180 binary64) x) (.f64 #s(literal 1/6 binary64) x)) x))
#s(approx (log (/ (sinh x) x)) (.f64 (fma.f64 (.f64 #s(literal -1/180 binary64) x) x #s(literal 1/6 binary64)) (*.f64 x x)))
(.f64 (fma.f64 (.f64 x x) (.f64 #s(literal -1/180 binary64) x) (.f64 #s(literal 1/6 binary64) x)) x)
(.f64 (fma.f64 (.f64 #s(literal -1/180 binary64) x) x #s(literal 1/6 binary64)) (*.f64 x x))
(fma.f64 (.f64 x x) (.f64 #s(literal -1/180 binary64) x) (*.f64 #s(literal 1/6 binary64) x))
(.f64 (fma.f64 (.f64 #s(literal -1/180 binary64) x) x #s(literal 1/6 binary64)) x)
(*.f64 x x)
x
(*.f64 #s(literal -1/180 binary64) x)
#s(literal -1/180 binary64)
(*.f64 #s(literal 1/6 binary64) 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))
#s(approx (log (/ (sinh x) x)) (.f64 (fma.f64 (.f64 #s(literal -1/180 binary64) x) x #s(literal 1/6 binary64)) (*.f64 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 (fma.f64 (.f64 #s(literal -1/180 binary64) x) x #s(literal 1/6 binary64)) (*.f64 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 (.f64 #s(literal -1/180 binary64) 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)))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -1/180 binary64) 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))
(fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal 1/6 binary64))
#s(literal -1/180 binary64)
(*.f64 x x)
#s(literal 1/6 binary64)
(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))))
#s(approx (/ (sinh x) x) #s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)))
#s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))
#s(literal 1/120 binary64)
(*.f64 x x)
x
#s(literal 1/6 binary64)

localize347.0ms (3.3%)

Memory

42.6MiB live, 274.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.3671875	(.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) x)
accuracy	2.0958997165588915	#s(approx (/ (sinh x) x) #s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)))
accuracy	30.808547373480135	(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))))
accuracy	59.73088340043678	#s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
accuracy	0.015625	(fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))
accuracy	0.0234375	(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
accuracy	0.125	(.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	2.287322080044978	#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	0.125	(.f64 (fma.f64 (.f64 x x) (.f64 #s(literal -1/180 binary64) x) (.f64 #s(literal 1/6 binary64) x)) x)
accuracy	0.21484375	(*.f64 #s(literal -1/180 binary64) x)
accuracy	0.3671875	(*.f64 #s(literal 1/6 binary64) x)
accuracy	2.287322080044978	#s(approx (log (/ (sinh x) x)) (.f64 (fma.f64 (.f64 x x) (.f64 #s(literal -1/180 binary64) x) (.f64 #s(literal 1/6 binary64) x)) x))
accuracy	0.109375	(.f64 (.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)
accuracy	0.375	(.f64 #s(approx (+ ( (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x)
accuracy	2.0098439601156044	#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	2.462637144796254	#s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64))
accuracy	0.109375	(.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (.f64 x x) (*.f64 #s(literal 1/6 binary64) x)) x)
accuracy	0.21484375	(.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)
accuracy	0.3671875	(*.f64 #s(literal 1/6 binary64) x)
accuracy	2.0098439601156044	#s(approx (log (/ (sinh x) x)) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (.f64 x x) (*.f64 #s(literal 1/6 binary64) x)) x))

Samples

253.0ms	162×	2	valid
57.0ms	82×	1	valid
4.0ms	12×	0	valid

Compiler

Compiled 652 to 89 computations (86.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 261.0ms

ival-sinh: 82.0ms (31.4% of total)

ival-log: 60.0ms (23% of total)

ival-mult: 48.0ms (18.4% of total)

adjust: 24.0ms (9.2% of total)

const: 19.0ms (7.3% of total)

ival-add: 17.0ms (6.5% of total)

ival-div: 12.0ms (4.6% of total)

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

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

exact: 0.0ms (0% of total)

series176.0ms (1.7%)

Memory

-18.4MiB live, 27.1MiB allocated

Counts

24 → 56

Calls

Call 1

Inputs
(fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (.f64 x x) (.f64 #s(literal 1/6 binary64) x))
#s(approx (log (/ (sinh x) x)) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (.f64 x x) (*.f64 #s(literal 1/6 binary64) x)) x))
(.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (.f64 x x) (*.f64 #s(literal 1/6 binary64) x)) x)
(.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)
#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 x x) (.f64 #s(literal -1/180 binary64) x) (*.f64 #s(literal 1/6 binary64) x))
#s(approx (log (/ (sinh x) x)) (.f64 (fma.f64 (.f64 x x) (.f64 #s(literal -1/180 binary64) x) (.f64 #s(literal 1/6 binary64) x)) x))
(.f64 (fma.f64 (.f64 x x) (.f64 #s(literal -1/180 binary64) x) (.f64 #s(literal 1/6 binary64) x)) x)
(*.f64 x x)
(/.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)))
(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))))
#s(approx (/ (sinh x) x) #s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)))
#s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 #s(literal -1/180 binary64) x)
(fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) x)

Outputs
(* 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 (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))))
(* -1/180 x)
(* x (- (* 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)
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
(+ 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)))))))
(* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))
(* x (+ 1/6 (* 1/120 (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)))))
(+ (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 3))
(* (pow x 3) (- 1/2835 (* 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))
(* -1/180 (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))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/120 (pow x 4))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* -1/180 (pow x 2))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* 1/120 (pow x 3))
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* -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))))))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))
(* -1 (* (pow x 3) (- 1/180 (* 1/6 (/ 1 (pow x 2))))))

Calls

3 calls:

Time

Variable

Point

Expression

11.0ms

-inf

((+ (* (* (+ (* (* x x) 1/2835) -1/180) x) (* x x)) (* 1/6 x)) (log (/ (sinh x) x)) (* (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) (* x x)) (* 1/6 x)) x) (* (+ (* (* x x) 1/2835) -1/180) x) (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) (+ (* (* x x) (* -1/180 x)) (* 1/6 x)) (log (/ (sinh x) x)) (* (+ (* (* x x) (* -1/180 x)) (* 1/6 x)) x) (* x x) (/ 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)) (/ (sinh x) x) (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (* (* (+ (* 1/120 (* x x)) 1/6) x) x) (* 1/6 x) (* -1/180 x) (+ (* -1/180 (* x x)) 1/6) (* (+ (* 1/120 (* x x)) 1/6) x))

11.0ms

inf

((+ (* (* (+ (* (* x x) 1/2835) -1/180) x) (* x x)) (* 1/6 x)) (log (/ (sinh x) x)) (* (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) (* x x)) (* 1/6 x)) x) (* (+ (* (* x x) 1/2835) -1/180) x) (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) (+ (* (* x x) (* -1/180 x)) (* 1/6 x)) (log (/ (sinh x) x)) (* (+ (* (* x x) (* -1/180 x)) (* 1/6 x)) x) (* x x) (/ 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)) (/ (sinh x) x) (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (* (* (+ (* 1/120 (* x x)) 1/6) x) x) (* 1/6 x) (* -1/180 x) (+ (* -1/180 (* x x)) 1/6) (* (+ (* 1/120 (* x x)) 1/6) x))

3.0ms

((+ (* (* (+ (* (* x x) 1/2835) -1/180) x) (* x x)) (* 1/6 x)) (log (/ (sinh x) x)) (* (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) (* x x)) (* 1/6 x)) x) (* (+ (* (* x x) 1/2835) -1/180) x) (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) (+ (* (* x x) (* -1/180 x)) (* 1/6 x)) (log (/ (sinh x) x)) (* (+ (* (* x x) (* -1/180 x)) (* 1/6 x)) x) (* x x) (/ 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)) (/ (sinh x) x) (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (* (* (+ (* 1/120 (* x x)) 1/6) x) x) (* 1/6 x) (* -1/180 x) (+ (* -1/180 (* x x)) 1/6) (* (+ (* 1/120 (* x x)) 1/6) x))

simplify337.0ms (3.2%)

Memory

-15.6MiB live, 142.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	151	559
1	403	558
2	1099	555
3	2790	555
4	6200	555
0	8382	516

Stop Event

1×	iter limit
1×	node limit

Counts

56 → 56

Calls

Call 1

Inputs
(* 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 (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))))
(* -1/180 x)
(* x (- (* 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)
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
(+ 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)))))))
(* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))
(* x (+ 1/6 (* 1/120 (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)))))
(+ (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 3))
(* (pow x 3) (- 1/2835 (* 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))
(* -1/180 (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))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/120 (pow x 4))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* -1/180 (pow x 2))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* 1/120 (pow x 3))
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* -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))))))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))
(* -1 (* (pow x 3) (- 1/180 (* 1/6 (/ 1 (pow x 2))))))

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

rewrite241.0ms (2.3%)

Memory

-4.6MiB live, 193.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	340
0	71	336
1	248	321
2	1486	321
0	8228	311

Stop Event

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

Counts

24 → 625

Calls

Call 1

Inputs
(fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (.f64 x x) (.f64 #s(literal 1/6 binary64) x))
#s(approx (log (/ (sinh x) x)) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (.f64 x x) (*.f64 #s(literal 1/6 binary64) x)) x))
(.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (.f64 x x) (*.f64 #s(literal 1/6 binary64) x)) x)
(.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)
#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 x x) (.f64 #s(literal -1/180 binary64) x) (*.f64 #s(literal 1/6 binary64) x))
#s(approx (log (/ (sinh x) x)) (.f64 (fma.f64 (.f64 x x) (.f64 #s(literal -1/180 binary64) x) (.f64 #s(literal 1/6 binary64) x)) x))
(.f64 (fma.f64 (.f64 x x) (.f64 #s(literal -1/180 binary64) x) (.f64 #s(literal 1/6 binary64) x)) x)
(*.f64 x x)
(/.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)))
(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))))
#s(approx (/ (sinh x) x) #s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)))
#s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 #s(literal -1/180 binary64) x)
(fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) x)

Outputs
(.f64 (/.f64 (.f64 x (fma.f64 (.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64))) x) (/.f64 (.f64 x (fma.f64 (.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) x) x #s(literal -1/6 binary64))) (fma.f64 (.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x #s(literal -1/6 binary64))))
(.f64 (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (.f64 (pow.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64))))))
(.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (.f64 #s(literal -1/36 binary64) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 x (fma.f64 (.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x #s(literal -1/6 binary64))))))
(.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (.f64 (.f64 #s(literal 1/6 binary64) x) (-.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)))))))))
(.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (.f64 #s(literal -1/36 binary64) (.f64 x x))) (pow.f64 (.f64 x (fma.f64 (.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x #s(literal -1/6 binary64))) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/36 binary64) (.f64 x x) (-.f64 (.f64 (pow.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64))) (.f64 #s(literal 1/6 binary64) x))))))
(.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (.f64 (.f64 #s(literal 1/6 binary64) x) (-.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)))))) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (.f64 x (fma.f64 (.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64))))
(.f64 x (fma.f64 (.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 (.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (pow.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (.f64 x (fma.f64 (.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) x) x #s(literal -1/6 binary64)))) (/.f64 (.f64 (pow.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (.f64 x (fma.f64 (.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) x) x #s(literal -1/6 binary64))))) (.f64 (.f64 (/.f64 (.f64 x x) x) (/.f64 #s(literal 1/36 binary64) (fma.f64 (.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) x) x #s(literal -1/6 binary64)))) (.f64 (/.f64 (.f64 x x) x) (/.f64 #s(literal 1/36 binary64) (fma.f64 (.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) x) x #s(literal -1/6 binary64)))))) (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) #s(literal 2 binary64)) x) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) x) x #s(literal -1/6 binary64))) (.f64 (/.f64 (.f64 x x) x) (/.f64 #s(literal 1/36 binary64) (fma.f64 (.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x #s(literal -1/6 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (.f64 x (fma.f64 (.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) x) x #s(literal -1/6 binary64)))) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 (.f64 x x) x) (/.f64 #s(literal 1/36 binary64) (fma.f64 (.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) x) x #s(literal -1/6 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (pow.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (.f64 x (fma.f64 (.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) x) x #s(literal -1/6 binary64)))) (/.f64 (.f64 (pow.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (.f64 x (fma.f64 (.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) x) x #s(literal -1/6 binary64)))) (fma.f64 (.f64 (/.f64 (.f64 x x) x) (/.f64 #s(literal 1/36 binary64) (fma.f64 (.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) x) x #s(literal -1/6 binary64)))) (.f64 (/.f64 (.f64 x x) x) (/.f64 #s(literal 1/36 binary64) (fma.f64 (.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) x) x #s(literal -1/6 binary64)))) (.f64 (/.f64 (.f64 (pow.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (.f64 x (fma.f64 (.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) x) x #s(literal -1/6 binary64)))) (.f64 (/.f64 (.f64 x x) x) (/.f64 #s(literal 1/36 binary64) (fma.f64 (.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x #s(literal -1/6 binary64))))))))
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eval123.0ms (1.2%)

Memory: 15.1MiB live, 132.6MiB allocated
Compiler: Compiled 19 503 to 2 672 computations (86.3% saved)

prune22.0ms (0.2%)

Memory

24.8MiB live, 61.7MiB allocated

Pruning

19 alts after pruning (10 fresh and 9 done)

	Pruned	Kept	Total
New	572	5	577
Fresh	1	5	6
Picked	1	4	5
Done	0	5	5
Total	574	19	593

Accuracy

98.3%

Counts

593 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	51.8%	(-.f64 (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 x) x))) (log.f64 #s(literal 2 binary64)))
✓	51.9%	(log.f64 (/.f64 (sinh.f64 x) x))
▶	50.8%	(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))))
✓	50.8%	(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))))
✓	50.6%	(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))))
✓	2.4%	(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))))
	96.1%	#s(approx (log (/ (sinh x) x)) (/.f64 (.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) #s(literal -1/36 binary64)) x) x) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal -1/6 binary64))))
	96.0%	#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) (pow.f64 x #s(literal -1 binary64))))
	96.3%	#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)))))
▶	96.5%	#s(approx (log (/ (sinh x) x)) (/.f64 x (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 (.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64))))))
▶	96.6%	#s(approx (log (/ (sinh 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)))
✓	96.6%	#s(approx (log (/ (sinh x) x)) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (.f64 x x) (*.f64 #s(literal 1/6 binary64) x)) x))
✓	96.2%	#s(approx (log (/ (sinh x) x)) (.f64 (fma.f64 (.f64 x x) (.f64 #s(literal -1/180 binary64) x) (.f64 #s(literal 1/6 binary64) x)) x))
	96.1%	#s(approx (log (/ (sinh x) x)) (.f64 (fma.f64 (.f64 #s(literal -1/180 binary64) x) x #s(literal 1/6 binary64)) (*.f64 x x)))
▶	96.7%	#s(approx (log (/ (sinh x) x)) (.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))
▶	96.1%	#s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) #s(literal 6 binary64))) x))
✓	96.2%	#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))
✓	96.0%	#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))
✓	96.0%	#s(approx (log (/ (sinh x) x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))

Compiler

Compiled 571 to 392 computations (31.3% saved)

simplify165.0ms (1.6%)

Memory

-10.7MiB live, 114.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(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))
cost-diff	0	(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))
cost-diff	0	#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)))
cost-diff	0	(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))))
cost-diff	0	(.f64 x (fma.f64 (.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)))
cost-diff	0	(/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 (.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64))))
cost-diff	0	#s(approx (log (/ (sinh x) x)) (/.f64 x (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 (.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64))))))
cost-diff	1088	(/.f64 x (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 (.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)))))
cost-diff	0	(fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))
cost-diff	0	(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))
cost-diff	0	(.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))
cost-diff	0	#s(approx (log (/ (sinh 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)))
cost-diff	0	#s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64))
cost-diff	0	(/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64)))
cost-diff	0	(.f64 (/.f64 x #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) #s(literal 6 binary64))) x)
cost-diff	0	#s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) #s(literal 6 binary64))) x))
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 #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 (/.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)
cost-diff	0	#s(approx (log (/ (sinh x) x)) (.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))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	399
0	69	395
1	135	395
2	229	395
3	508	395
4	1101	395
5	1599	395
6	2062	395
7	2885	395
8	3749	395
9	4409	395
10	5004	395
0	8137	387

Stop Event

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

Calls

Call 1

Inputs
#s(approx (log (/ (sinh x) x)) (.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 (/.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 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
#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)
(*.f64 x x)
#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 #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) #s(literal 6 binary64))) x)
(/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64)))
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 (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 (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))
(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 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))
(*.f64 x x)
x
#s(literal 1/2835 binary64)
#s(literal -1/180 binary64)
#s(literal 1/6 binary64)
#s(approx (log (/ (sinh x) x)) (/.f64 x (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 (.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64))))))
(/.f64 x (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 (.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)))))
x
(/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 (.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64))))
#s(literal 1 binary64)
(.f64 x (fma.f64 (.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)))
(fma.f64 (.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64))
(.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) x)
(fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64))
#s(literal 1/2835 binary64)
(*.f64 x x)
#s(literal -1/180 binary64)
#s(literal 1/6 binary64)
(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 (/ (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)))
(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))
(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))
(fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
#s(literal 1/5040 binary64)
(*.f64 x x)
x
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
#s(literal 1 binary64)

Outputs
#s(approx (log (/ (sinh x) x)) (.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))
#s(approx (log (/ (sinh x) x)) (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 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 (.f64 x x) #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64))))
(/.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 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64))))
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 (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64)))
(fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64))
#s(literal 1/5 binary64)
(*.f64 x x)
#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 #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) #s(literal 6 binary64))) x)
(/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64)))
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 (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)))
#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 (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 (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)
(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 (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 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))
(fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64))
(*.f64 x x)
x
#s(literal 1/2835 binary64)
#s(literal -1/180 binary64)
#s(literal 1/6 binary64)
#s(approx (log (/ (sinh x) x)) (/.f64 x (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 (.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x #s(literal 1/6 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))
(/.f64 x (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 (.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)))))
(.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)
x
(/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 (.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64))))
(/.f64 #s(literal 1 binary64) (.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))
#s(literal 1 binary64)
(.f64 x (fma.f64 (.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)))
(.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 (.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64))
(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))
(.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) x)
(fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64))
#s(literal 1/2835 binary64)
(*.f64 x x)
#s(literal -1/180 binary64)
#s(literal 1/6 binary64)
(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 (/ (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)))
(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))
(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))
(fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
#s(literal 1/5040 binary64)
(*.f64 x x)
x
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
#s(literal 1 binary64)

localize300.0ms (2.8%)

Memory

-22.7MiB live, 295.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.015625	(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))
accuracy	0.03515625	(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))
accuracy	2.0874931232238416	#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)))
accuracy	30.808547373480135	(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))))
accuracy	0.21484375	(.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) x)
accuracy	0.296875	(/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 (.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64))))
accuracy	0.375	(.f64 x (fma.f64 (.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)))
accuracy	2.0098439601156044	#s(approx (log (/ (sinh x) x)) (/.f64 x (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 (.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64))))))
accuracy	0.015625	(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))
accuracy	0.0234375	(fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))
accuracy	0.20703125	(.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))
accuracy	2.0098439601156044	#s(approx (log (/ (sinh 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)))
accuracy	0.00390625	(/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64)))
accuracy	0.125	(.f64 (/.f64 x #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) #s(literal 6 binary64))) x)
accuracy	2.287322080044978	#s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) #s(literal 6 binary64))) x))
accuracy	2.682691726436505	#s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64))
accuracy	0.01171875	(fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64))
accuracy	0.125	(.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)
accuracy	2.2735251778784535	#s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))
accuracy	2.287322080044978	#s(approx (log (/ (sinh x) x)) (.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))

Samples

167.0ms	162×	2	valid
88.0ms	82×	1	valid
4.0ms	12×	0	valid

Compiler

Compiled 690 to 86 computations (87.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 218.0ms

ival-mult: 62.0ms (28.5% of total)

ival-log: 33.0ms (15.2% of total)

adjust: 32.0ms (14.7% of total)

const: 27.0ms (12.4% of total)

ival-add: 23.0ms (10.6% of total)

ival-div: 21.0ms (9.7% of total)

ival-sinh: 19.0ms (8.7% of total)

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

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

exact: 0.0ms (0% of total)

series23.0ms (0.2%)

Memory

31.6MiB live, 31.6MiB allocated

Counts

22 → 71

Calls

Call 1

Inputs
#s(approx (log (/ (sinh x) x)) (.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 (/.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 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 (/ 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 #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) #s(literal 6 binary64))) x))
(.f64 (/.f64 x #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) #s(literal 6 binary64))) x)
(/.f64 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))
#s(approx (log (/ (sinh 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 (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))
(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 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))
(/.f64 x (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 (.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)))))
#s(approx (log (/ (sinh x) x)) (/.f64 x (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 (.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64))))))
(/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 (.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64))))
(.f64 x (fma.f64 (.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)))
(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 (/ (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)))
(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))
(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))
(fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64))
(.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) 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))))
(* 1/6 x)
(* x (+ 1/6 (* -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
(+ 1/6 (* -1/180 (pow x 2)))
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))
-1/180
(- (* 1/2835 (pow x 2)) 1/180)
(/ 6 x)
(/ (+ 6 (* 1/5 (pow x 2))) x)
(/ (+ 6 (* (pow x 2) (+ 1/5 (* -19/3150 (pow x 2))))) x)
(/ (+ 6 (* (pow x 2) (+ 1/5 (* (pow x 2) (- (* -59/94500 (pow x 2)) 19/3150))))) x)
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (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)))))))
(+ 1/6 (* 1/120 (pow x 2)))
(+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))
(* -1/180 x)
(* x (- (* 1/2835 (pow x 2)) 1/180))
(+ (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))
(* -1/180 (pow x 3))
(* (pow x 3) (- (* 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))
(* 1/2835 (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 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)))))
(* 1/2835 (pow x 2))
(* (pow x 2) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(/ 2835 (pow x 5))
(/ (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (pow x 5))
(/ (- (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (/ 10180485/16 (pow x 4))) (pow x 5))
(/ (+ 2835 (+ (* -1 (/ (+ 10180485/16 (* 1991624355/64 (/ 1 (pow x 2)))) (pow x 4))) (* 178605/4 (/ 1 (pow x 2))))) (pow x 5))
(* 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)))))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/5040 (pow x 6))
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/5040 (pow x 4))
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* 1/5 (pow x 2))
(* (pow x 2) (+ 1/5 (* 6 (/ 1 (pow x 2)))))
(* 1/2835 (pow x 3))
(* (pow x 3) (- 1/2835 (* 1/180 (/ 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))))))
(* -1 (/ (- (/ 10180485/16 (pow x 4)) (+ 2835 (* 178605/4 (/ 1 (pow x 2))))) (pow x 5)))
(* -1 (/ (- (+ (* 1991624355/64 (/ 1 (pow x 6))) (/ 10180485/16 (pow x 4))) (+ 2835 (* 178605/4 (/ 1 (pow x 2))))) (pow x 5)))
(* -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 (pow x 2))) 1/2835)))

Calls

3 calls:

Time

Variable

Point

Expression

10.0ms

-inf

((log (/ (sinh x) x)) (* (/ x (/ 1 (+ (* -1/180 (* x x)) 1/6))) x) (/ x (/ 1 (+ (* -1/180 (* x x)) 1/6))) (/ 1 (+ (* -1/180 (* x x)) 1/6)) (log (/ (sinh x) x)) (* (/ x (/ 1 (+ (* -1/180 (* x x)) 1/6))) x) (/ x (/ 1 (+ (* -1/180 (* x x)) 1/6))) (/ 1 (+ (* -1/180 (* x x)) 1/6)) (log (/ (sinh x) x)) (* (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6) (* x x)) (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6) (+ (* (* x x) 1/2835) -1/180) (/ x (/ 1 (* x (+ (* (* (+ (* 1/2835 (* x x)) -1/180) x) x) 1/6)))) (log (/ (sinh x) x)) (/ 1 (* 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)) (/ (sinh x) x) (+ (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) (+ (* 1/5 (* x x)) 6) (* (+ (* 1/2835 (* x x)) -1/180) x))

10.0ms

inf

((log (/ (sinh x) x)) (* (/ x (/ 1 (+ (* -1/180 (* x x)) 1/6))) x) (/ x (/ 1 (+ (* -1/180 (* x x)) 1/6))) (/ 1 (+ (* -1/180 (* x x)) 1/6)) (log (/ (sinh x) x)) (* (/ x (/ 1 (+ (* -1/180 (* x x)) 1/6))) x) (/ x (/ 1 (+ (* -1/180 (* x x)) 1/6))) (/ 1 (+ (* -1/180 (* x x)) 1/6)) (log (/ (sinh x) x)) (* (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6) (* x x)) (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6) (+ (* (* x x) 1/2835) -1/180) (/ x (/ 1 (* x (+ (* (* (+ (* 1/2835 (* x x)) -1/180) x) x) 1/6)))) (log (/ (sinh x) x)) (/ 1 (* 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)) (/ (sinh x) x) (+ (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) (+ (* 1/5 (* x x)) 6) (* (+ (* 1/2835 (* x x)) -1/180) x))

2.0ms

((log (/ (sinh x) x)) (* (/ x (/ 1 (+ (* -1/180 (* x x)) 1/6))) x) (/ x (/ 1 (+ (* -1/180 (* x x)) 1/6))) (/ 1 (+ (* -1/180 (* x x)) 1/6)) (log (/ (sinh x) x)) (* (/ x (/ 1 (+ (* -1/180 (* x x)) 1/6))) x) (/ x (/ 1 (+ (* -1/180 (* x x)) 1/6))) (/ 1 (+ (* -1/180 (* x x)) 1/6)) (log (/ (sinh x) x)) (* (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6) (* x x)) (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6) (+ (* (* x x) 1/2835) -1/180) (/ x (/ 1 (* x (+ (* (* (+ (* 1/2835 (* x x)) -1/180) x) x) 1/6)))) (log (/ (sinh x) x)) (/ 1 (* 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)) (/ (sinh x) x) (+ (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) (+ (* 1/5 (* x x)) 6) (* (+ (* 1/2835 (* x x)) -1/180) x))

simplify176.0ms (1.7%)

Memory

2.2MiB live, 115.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	202	772
1	544	770
2	1465	762
3	3730	762
0	8134	717

Stop Event

1×	iter limit
1×	node limit

Counts

71 → 71

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))))
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
(+ 1/6 (* -1/180 (pow x 2)))
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))
-1/180
(- (* 1/2835 (pow x 2)) 1/180)
(/ 6 x)
(/ (+ 6 (* 1/5 (pow x 2))) x)
(/ (+ 6 (* (pow x 2) (+ 1/5 (* -19/3150 (pow x 2))))) x)
(/ (+ 6 (* (pow x 2) (+ 1/5 (* (pow x 2) (- (* -59/94500 (pow x 2)) 19/3150))))) x)
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (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)))))))
(+ 1/6 (* 1/120 (pow x 2)))
(+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))
(* -1/180 x)
(* x (- (* 1/2835 (pow x 2)) 1/180))
(+ (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))
(* -1/180 (pow x 3))
(* (pow x 3) (- (* 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))
(* 1/2835 (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 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)))))
(* 1/2835 (pow x 2))
(* (pow x 2) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(/ 2835 (pow x 5))
(/ (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (pow x 5))
(/ (- (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (/ 10180485/16 (pow x 4))) (pow x 5))
(/ (+ 2835 (+ (* -1 (/ (+ 10180485/16 (* 1991624355/64 (/ 1 (pow x 2)))) (pow x 4))) (* 178605/4 (/ 1 (pow x 2))))) (pow x 5))
(* 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)))))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/5040 (pow x 6))
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/5040 (pow x 4))
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* 1/5 (pow x 2))
(* (pow x 2) (+ 1/5 (* 6 (/ 1 (pow x 2)))))
(* 1/2835 (pow x 3))
(* (pow x 3) (- 1/2835 (* 1/180 (/ 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))))))
(* -1 (/ (- (/ 10180485/16 (pow x 4)) (+ 2835 (* 178605/4 (/ 1 (pow x 2))))) (pow x 5)))
(* -1 (/ (- (+ (* 1991624355/64 (/ 1 (pow x 6))) (/ 10180485/16 (pow x 4))) (+ 2835 (* 178605/4 (/ 1 (pow x 2))))) (pow x 5)))
(* -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 (pow x 2))) 1/2835)))

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)
(* 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)
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
#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 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 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))
(/ 6 x)
(/.f64 #s(literal 6 binary64) x)
(/ (+ 6 (* 1/5 (pow x 2))) x)
(/.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)) x)
(/ (+ 6 (* (pow x 2) (+ 1/5 (* -19/3150 (pow x 2))))) x)
(/.f64 (fma.f64 (fma.f64 #s(literal -19/3150 binary64) (.f64 x x) #s(literal 1/5 binary64)) (.f64 x x) #s(literal 6 binary64)) x)
(/ (+ 6 (* (pow x 2) (+ 1/5 (* (pow x 2) (- (* -59/94500 (pow x 2)) 19/3150))))) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -59/94500 binary64) (.f64 x x) #s(literal -19/3150 binary64)) (.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 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
#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 (* 1/120 (pow x 2)))
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))
(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))
(* -1/180 x)
(*.f64 #s(literal -1/180 binary64) x)
(* x (- (* 1/2835 (pow x 2)) 1/180))
(.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 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))
(* -1/180 (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)
(* -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 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/ -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 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/2835 binary64)) (/.f64 #s(literal 1/180 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 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 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1/180 binary64)) x) x (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2835 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))
(/ 2835 (pow x 5))
(/.f64 #s(literal 2835 binary64) (pow.f64 x #s(literal 5 binary64)))
(/ (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (pow x 5))
(/.f64 (+.f64 (/.f64 #s(literal 178605/4 binary64) (*.f64 x x)) #s(literal 2835 binary64)) (pow.f64 x #s(literal 5 binary64)))
(/ (- (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (/ 10180485/16 (pow x 4))) (pow x 5))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 178605/4 binary64) (*.f64 x x)) #s(literal -2835 binary64)) (/.f64 #s(literal 10180485/16 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 5 binary64)))
(/ (+ 2835 (+ (* -1 (/ (+ 10180485/16 (* 1991624355/64 (/ 1 (pow x 2)))) (pow x 4))) (* 178605/4 (/ 1 (pow x 2))))) (pow x 5))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 178605/4 binary64) (.f64 x x)) #s(literal 2835 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1991624355/64 binary64) (.f64 x x)) #s(literal 10180485/16 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 5 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 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/2835 binary64)) (/.f64 #s(literal 1/180 binary64) (.f64 x 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))))
(* 1/5040 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5040 binary64))
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/5040 binary64)) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/120 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(fma.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))
(* 1/5040 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/5040 binary64))
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 (.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x)
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(fma.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/5040 binary64)) (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 1/120 binary64) (.f64 x x)))
(* 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))
(* 1/2835 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2835 binary64))
(* (pow x 3) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) x)
(+ (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 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (/ (- (/ 10180485/16 (pow x 4)) (+ 2835 (* 178605/4 (/ 1 (pow x 2))))) (pow x 5)))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 178605/4 binary64) (*.f64 x x)) #s(literal -2835 binary64)) (/.f64 #s(literal 10180485/16 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (/ (- (+ (* 1991624355/64 (/ 1 (pow x 6))) (/ 10180485/16 (pow x 4))) (+ 2835 (* 178605/4 (/ 1 (pow x 2))))) (pow x 5)))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal -1991624355/64 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal -2835 binary64)) (-.f64 (/.f64 #s(literal 10180485/16 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 178605/4 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 5 binary64)))
(* -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 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/2835 binary64)) (/.f64 #s(literal 1/180 binary64) (.f64 x x))))
(* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))
(.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) x)

rewrite239.0ms (2.3%)

Memory

-7.5MiB live, 227.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	345
0	69	341
1	291	341
2	1637	341
0	8552	333

Stop Event

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

Counts

22 → 581

Calls

Call 1

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

Outputs
#s(approx (log (/ (sinh x) x)) (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64)))))
(.f64 (.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 x) #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64)))))
(.f64 (.f64 (neg.f64 x) x) (/.f64 #s(literal -1 binary64) #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64)))))
(.f64 (.f64 x (neg.f64 x)) (/.f64 #s(literal -1 binary64) #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64)))))
(.f64 (neg.f64 (.f64 x x)) (/.f64 #s(literal -1 binary64) #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64)))))
(.f64 (pow.f64 #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) (fma.f64 (.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64))) #s(literal -1 binary64)) (.f64 x x))
(.f64 (/.f64 x #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64)))) x)
(.f64 (.f64 x x) (pow.f64 #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #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 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64)))))
(.f64 x (/.f64 x #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64)))))
(pow.f64 (/.f64 #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 (.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64))) (.f64 x x)) #s(literal -1 binary64))
(/.f64 (neg.f64 (.f64 (neg.f64 x) x)) #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64))))
(/.f64 (neg.f64 (.f64 x (neg.f64 x))) #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64))))
(/.f64 (neg.f64 (neg.f64 (.f64 x x))) #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64))))
(/.f64 (.f64 (neg.f64 x) x) (neg.f64 #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64)))))
(/.f64 (.f64 x (neg.f64 x)) (neg.f64 #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64)))))
(/.f64 (neg.f64 (.f64 x x)) (neg.f64 #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 (.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64))) (.f64 x x))))
(/.f64 (neg.f64 x) (neg.f64 (/.f64 #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64))) x)))
(/.f64 (/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64)))) (pow.f64 x #s(literal -1 binary64)))
(/.f64 (.f64 x x) #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 (.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64)))) (.f64 (neg.f64 x) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 (.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64)))) (.f64 x (neg.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 (.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64))) (.f64 x x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64))) x) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 (.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64))) (.f64 x x)))
(/.f64 x (/.f64 #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64))) x))
(.f64 (pow.f64 (/.f64 #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) (fma.f64 (.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64))) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64))) x) #s(literal -1/2 binary64)))
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(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/5832000 binary64) (pow.f64 (.f64 (.f64 #s(literal 1/2835 binary64) (.f64 x x)) x) #s(literal 3 binary64))) (fma.f64 #s(literal 1/32400 binary64) (.f64 x x) (-.f64 (.f64 (.f64 (.f64 #s(literal 1/2835 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal 1/2835 binary64) (.f64 x x)) x)) (.f64 (.f64 #s(literal -1/180 binary64) x) (.f64 (.f64 #s(literal 1/2835 binary64) (.f64 x x)) x)))))
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(fma.f64 (.f64 #s(literal 1/2835 binary64) (.f64 x x)) x (*.f64 #s(literal -1/180 binary64) x))
(fma.f64 #s(literal -1/180 binary64) x (.f64 (.f64 #s(literal 1/2835 binary64) (*.f64 x x)) x))
(fma.f64 #s(literal -1/180 binary64) x (.f64 x (.f64 #s(literal 1/2835 binary64) (*.f64 x x))))
(fma.f64 x (.f64 #s(literal 1/2835 binary64) (.f64 x x)) (*.f64 #s(literal -1/180 binary64) x))
(fma.f64 x #s(literal -1/180 binary64) (.f64 (.f64 #s(literal 1/2835 binary64) (*.f64 x x)) x))
(fma.f64 x #s(literal -1/180 binary64) (.f64 x (.f64 #s(literal 1/2835 binary64) (*.f64 x x))))
(+.f64 (.f64 (.f64 #s(literal 1/2835 binary64) (.f64 x x)) x) (.f64 #s(literal -1/180 binary64) x))
(+.f64 (.f64 x (.f64 #s(literal 1/2835 binary64) (.f64 x x))) (.f64 #s(literal -1/180 binary64) x))
(+.f64 (.f64 #s(literal -1/180 binary64) x) (.f64 (.f64 #s(literal 1/2835 binary64) (.f64 x x)) x))
(+.f64 (.f64 #s(literal -1/180 binary64) x) (.f64 x (.f64 #s(literal 1/2835 binary64) (.f64 x x))))

eval78.0ms (0.7%)

Memory: 18.3MiB live, 172.2MiB allocated
Compiler: Compiled 20 774 to 2 671 computations (87.1% saved)

prune23.0ms (0.2%)

Memory

-18.5MiB live, 57.4MiB allocated

Pruning

21 alts after pruning (8 fresh and 13 done)

	Pruned	Kept	Total
New	568	6	574
Fresh	3	2	5
Picked	1	4	5
Done	0	9	9
Total	572	21	593

Accuracy

98.3%

Counts

593 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	51.8%	(-.f64 (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 x) x))) (log.f64 #s(literal 2 binary64)))
✓	51.9%	(log.f64 (/.f64 (sinh.f64 x) x))
✓	50.8%	(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))))
✓	50.8%	(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))))
✓	50.6%	(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))))
	49.6%	(log.f64 #s(approx (/ (sinh x) x) (fma.f64 #s(approx (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) (.f64 (.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) x) x)) (.f64 x x) #s(literal 1 binary64))))
✓	2.4%	(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))))
	96.1%	#s(approx (log (/ (sinh x) x)) (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) #s(literal 6 binary64))))
	96.1%	#s(approx (log (/ (sinh x) x)) (/.f64 x (/.f64 #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64)) x)))
✓	96.6%	#s(approx (log (/ (sinh 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)))
✓	96.6%	#s(approx (log (/ (sinh x) x)) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (.f64 x x) (*.f64 #s(literal 1/6 binary64) x)) x))
✓	96.2%	#s(approx (log (/ (sinh x) x)) (.f64 (fma.f64 (.f64 x x) (.f64 #s(literal -1/180 binary64) x) (.f64 #s(literal 1/6 binary64) x)) x))
	96.1%	#s(approx (log (/ (sinh x) x)) (.f64 (fma.f64 (.f64 #s(literal -1/180 binary64) x) x #s(literal 1/6 binary64)) (*.f64 x x)))
✓	96.7%	#s(approx (log (/ (sinh x) x)) (.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))
	3.9%	#s(approx (log (/ (sinh x) x)) (.f64 (/.f64 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))))) x))
✓	96.1%	#s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) #s(literal 6 binary64))) x))
	96.1%	#s(approx (log (/ (sinh x) x)) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) #s(literal 6 binary64)) x)) x))
✓	96.2%	#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))
✓	96.0%	#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))
✓	96.0%	#s(approx (log (/ (sinh x) x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
	36.6%	#s(approx (log (/ (sinh x) x)) (.f64 #s(approx (/ x (/ 1 (+ ( -1/180 (* x x)) 1/6))) (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 3 binary64)))) x))

Compiler

Compiled 1 020 to 466 computations (54.3% saved)

regimes34.0ms (0.3%)

Memory

-28.6MiB live, 32.8MiB allocated

Counts

28 → 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 (fma.f64 (.f64 #s(literal -1/180 binary64) 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 (/.f64 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))))) x))
#s(approx (log (/ (sinh x) x)) (.f64 (fma.f64 (.f64 x x) (.f64 #s(literal -1/180 binary64) x) (.f64 #s(literal 1/6 binary64) x)) x))
#s(approx (log (/ (sinh x) x)) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) #s(literal 6 binary64)) x)) x))
#s(approx (log (/ (sinh x) x)) (.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))
#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 (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)))
#s(approx (log (/ (sinh x) x)) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (.f64 x x) (*.f64 #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 x (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 (.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) 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 (log (/ (sinh x) x)) (/.f64 (.f64 #s(approx (+ ( (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) (pow.f64 x #s(literal -1 binary64))))
(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))))
(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)) (.f64 #s(approx (/ x (/ 1 (+ ( -1/180 (* x x)) 1/6))) (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 3 binary64)))) x))
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 #s(approx (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) (.f64 (.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) x) x)) (.f64 x x) #s(literal 1 binary64))))
(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 (.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) #s(literal -1/36 binary64)) x) x) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal -1/6 binary64))))
(log.f64 (/.f64 (sinh.f64 x) x))
(-.f64 (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 x) x))) (log.f64 #s(literal 2 binary64)))

Outputs
#s(approx (log (/ (sinh x) x)) (.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))

Calls

3 calls:

22.0ms	x
5.0ms	(/.f64 (sinh.f64 x) x)
5.0ms	(log.f64 (/.f64 (sinh.f64 x) x))

Results

Accuracy	Segments	Branch
96.7%	1	`x`
96.7%	1	`(log.f64 (/.f64 (sinh.f64 x) x))`
96.7%	1	`(/.f64 (sinh.f64 x) x)`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes9.0ms (0.1%)

Memory

7.2MiB live, 7.2MiB allocated

Counts

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

4.0ms	x
3.0ms	(log.f64 (/.f64 (sinh.f64 x) x))
3.0ms	(/.f64 (sinh.f64 x) x)

Results

Accuracy	Segments	Branch
96.2%	1	`x`
96.2%	1	`(log.f64 (/.f64 (sinh.f64 x) x))`
96.2%	1	`(/.f64 (sinh.f64 x) x)`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes5.0ms (0%)

Memory

4.8MiB live, 4.8MiB 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 #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
96.1%	1	`x`
96.1%	1	`(log.f64 (/.f64 (sinh.f64 x) x))`
96.1%	1	`(/.f64 (sinh.f64 x) x)`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes4.0ms (0%)

Memory

4.0MiB live, 4.0MiB allocated

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

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
96.0%	1	`x`
96.0%	1	`(log.f64 (/.f64 (sinh.f64 x) x))`
96.0%	1	`(/.f64 (sinh.f64 x) x)`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes3.0ms (0%)

Memory

3.8MiB live, 3.8MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#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(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
96.0%	1	`x`
96.0%	1	`(log.f64 (/.f64 (sinh.f64 x) x))`
96.0%	1	`(/.f64 (sinh.f64 x) x)`

Compiler

Compiled 10 to 8 computations (20% saved)

simplify69.0ms (0.7%)

Memory

15.4MiB live, 54.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	99
1	58	99
2	84	99
3	139	99
4	204	99
5	315	99
6	667	99
7	1843	99
8	3842	99

Stop Event

1×	node limit

Calls

Call 1

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

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

soundness1.1s (10%)

Memory

-20.3MiB live, 488.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	109	437
1	292	436
2	762	436
3	1949	436
4	4817	436
0	8189	404
0	28	204
0	47	204
1	166	204
2	1082	204
0	8738	204
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
0	151	559
1	403	558
2	1099	555
3	2790	555
4	6200	555
0	8382	516

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

Compiler

Compiled 203 to 113 computations (44.3% saved)

preprocess52.0ms (0.5%)

Memory: 28.8MiB live, 66.9MiB allocated
Compiler: Compiled 268 to 122 computations (54.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze102.0ms (1%)

sample4.1s (38.6%)

explain195.0ms (1.8%)

preprocess168.0ms (1.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify107.0ms (1%)

localize96.0ms (0.9%)

series110.0ms (1%)

simplify238.0ms (2.3%)

rewrite172.0ms (1.6%)

eval66.0ms (0.6%)

prune12.0ms (0.1%)

simplify404.0ms (3.8%)

localize321.0ms (3%)

series25.0ms (0.2%)

simplify138.0ms (1.3%)

rewrite194.0ms (1.8%)

eval102.0ms (1%)

prune22.0ms (0.2%)

simplify529.0ms (5%)

localize347.0ms (3.3%)

series176.0ms (1.7%)

simplify337.0ms (3.2%)

rewrite241.0ms (2.3%)

eval123.0ms (1.2%)

prune22.0ms (0.2%)

simplify165.0ms (1.6%)

localize300.0ms (2.8%)

series23.0ms (0.2%)

simplify176.0ms (1.7%)

rewrite239.0ms (2.3%)

eval78.0ms (0.7%)

prune23.0ms (0.2%)

regimes34.0ms (0.3%)

regimes9.0ms (0.1%)

regimes5.0ms (0%)

regimes4.0ms (0%)

regimes3.0ms (0%)

simplify69.0ms (0.7%)

soundness1.1s (10%)

preprocess52.0ms (0.5%)

end0.0ms (0%)

Profiling