Metrics for expm1 (example 3.7)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	50%	50%	0%	0%	0%	0
100%	50%	0%	50%	0%	0%	0%	1

Compiler

Compiled 9 to 6 computations (33.3% saved)

sample558.0ms (11.1%)

Memory

-12.0MiB live, 735.9MiB allocated; 161ms collecting garbage

Samples

360.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 206.0ms

ival-expm1: 76.0ms (36.9% of total)

ival-fabs: 66.0ms (32% of total)

ival-<=: 53.0ms (25.7% of total)

exact: 5.0ms (2.4% of total)

ival-assert: 4.0ms (1.9% of total)

adjust: 2.0ms (1% of total)

Bogosity

explain52.0ms (1%)

Memory

15.5MiB live, 71.8MiB allocated; 6ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
253	-	-	`(-.f64 (exp.f64 x) #s(literal 1 binary64))`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(exp.f64 x)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (exp.f64 x) #s(literal 1 binary64))`	cancellation	253	1

Confusion

	Predicted +	Predicted -
+	253	0
-	0	3

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	253	0	0
-	0	1	2

Precision?

0.9960629921259843

Recall?

1.0

Freqs

test

number	freq
0	3
1	253

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

18.0ms

512×

valid

Compiler

Compiled 24 to 16 computations (33.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-exp: 4.0ms (47.3% of total)

ival-expm1: 3.0ms (35.5% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

preprocess122.0ms (2.4%)

Memory

5.3MiB live, 143.7MiB allocated; 10ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	11
1	16	11
2	33	11
3	111	11
4	482	11
5	6534	11
0	4	4
0	6	4
1	11	4
2	21	4
3	47	4
4	183	4
5	1673	4
6	5180	4
0	8366	2

Stop Event

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

Calls

Call 1

Inputs
(-.f64 (exp.f64 x) #s(literal 1 binary64))

Outputs
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(expm1.f64 x)

Compiler

Compiled 4 to 4 computations (0% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	9.5%	(-.f64 (exp.f64 x) #s(literal 1 binary64))

Compiler

Compiled 4 to 4 computations (0% saved)

simplify106.0ms (2.1%)

Memory

0.6MiB live, 94.5MiB allocated; 13ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(exp.f64 x)
cost-diff	2	(-.f64 (exp.f64 x) #s(literal 1 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	8
0	6	8
1	11	8
2	21	8
3	47	8
4	183	8
5	1673	8
6	5180	8
0	8366	6

Stop Event

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

Calls

Call 1

Inputs
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(exp.f64 x)
x
#s(literal 1 binary64)

Outputs
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(expm1.f64 x)
(exp.f64 x)
x
#s(literal 1 binary64)

localize13.0ms (0.3%)

Memory

10.3MiB live, 10.3MiB allocated; 0ms collecting garbage

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(exp.f64 x)
accuracy	57.94197574358541	(-.f64 (exp.f64 x) #s(literal 1 binary64))

Samples

9.0ms

256×

valid

Compiler

Compiled 10 to 6 computations (40% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-exp: 2.0ms (47.6% of total)

ival-expm1: 2.0ms (47.6% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series1.0ms (0%)

Memory

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

Counts

2 → 10

Calls

Call 1

Inputs
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(exp.f64 x)

Outputs
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(- (exp x) 1)
(exp x)

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	((- (exp x) 1) (exp x))
0.0ms	x	@	-inf	((- (exp x) 1) (exp x))
0.0ms	x	@	inf	((- (exp x) 1) (exp x))

simplify149.0ms (3%)

Memory

-10.6MiB live, 78.6MiB allocated; 10ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	66
1	100	66
2	323	66
3	1033	66
4	2579	66
5	5281	66
0	8149	53

Stop Event

1×	iter limit
1×	node limit

Counts

10 → 9

Calls

Call 1

Inputs
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(- (exp x) 1)
(exp x)

Outputs
x
(* x (+ 1 (* 1/2 x)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(- (exp x) 1)
(expm1.f64 x)
(exp x)
(exp.f64 x)

rewrite209.0ms (4.2%)

Memory

18.5MiB live, 114.4MiB allocated; 16ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	6
0	6	6
1	25	6
2	152	6
3	1559	6
0	8950	4

Stop Event

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

Counts

2 → 276

Calls

Call 1

Inputs
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(exp.f64 x)

Outputs
(.f64 (/.f64 (expm1.f64 x) (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x))))) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (fma.f64 #s(literal -1 binary64) (exp.f64 x) #s(literal -1 binary64))))
(.f64 (/.f64 (expm1.f64 x) (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (neg.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x))))) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (neg.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)))))
(.f64 (/.f64 (expm1.f64 x) (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (expm1.f64 (*.f64 #s(literal 3 binary64) x)))) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 3 binary64)))) (expm1.f64 x))
(*.f64 (/.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64))) (expm1.f64 x))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (/.f64 (expm1.f64 (.f64 #s(literal 3 binary64) x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(.f64 (/.f64 (expm1.f64 x) (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(*.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (exp.f64 x) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 (expm1.f64 x) #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (neg.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x))))) (/.f64 (.f64 #s(literal 1 binary64) (expm1.f64 x)) (fma.f64 #s(literal -1 binary64) (exp.f64 x) #s(literal -1 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x))))) (/.f64 (expm1.f64 x) (fma.f64 #s(literal -1 binary64) (exp.f64 x) #s(literal -1 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (neg.f64 (expm1.f64 (.f64 #s(literal 3 binary64) x))))) (/.f64 (.f64 #s(literal 1 binary64) (expm1.f64 x)) (neg.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (neg.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x))))) (/.f64 (expm1.f64 x) (neg.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (expm1.f64 (.f64 #s(literal 3 binary64) x)))) (/.f64 (.f64 #s(literal 1 binary64) (expm1.f64 x)) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (expm1.f64 (*.f64 #s(literal 3 binary64) x)))) (/.f64 (expm1.f64 x) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (fma.f64 #s(literal -1 binary64) (exp.f64 x) #s(literal -1 binary64))) (/.f64 (neg.f64 (expm1.f64 x)) #s(literal 1 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (expm1.f64 (.f64 #s(literal 2 binary64) x)))) (/.f64 (.f64 #s(literal 1 binary64) (expm1.f64 x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))) (/.f64 (expm1.f64 x) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1 binary64)) (/.f64 (.f64 #s(literal 1 binary64) (expm1.f64 x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1 binary64)) (/.f64 (expm1.f64 x) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(*.f64 (/.f64 (expm1.f64 x) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (/.f64 (expm1.f64 x) (expm1.f64 x))))
(*.f64 (/.f64 (expm1.f64 x) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1 binary64)))
(.f64 (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 x)))
(.f64 (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 3 binary64)))) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)))
(.f64 (/.f64 (expm1.f64 (.f64 #s(literal 3 binary64) x)) (-.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) (pow.f64 (expm1.f64 x) #s(literal 2 binary64)))) (-.f64 (*.f64 (exp.f64 x) (expm1.f64 x)) #s(literal 1 binary64)))
(.f64 (/.f64 (expm1.f64 (.f64 #s(literal 3 binary64) x)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal 6 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (-.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (pow.f64 (exp.f64 x) #s(literal 4 binary64))))
(.f64 (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (expm1.f64 x))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 (.f64 #s(literal 1 binary64) (expm1.f64 x)) (/.f64 (expm1.f64 x) (expm1.f64 x))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 (expm1.f64 x) (/.f64 (expm1.f64 x) (expm1.f64 x))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 (.f64 #s(literal 1 binary64) (expm1.f64 x)) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (expm1.f64 x))
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (/.f64 (expm1.f64 x) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(*.f64 (expm1.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(/.f64 (+.f64 (pow.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) (cosh.f64 x)))))
(/.f64 (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (-.f64 (cosh.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (sinh.f64 x) (sinh.f64 x) (-.f64 (.f64 (-.f64 (cosh.f64 x) #s(literal 1 binary64)) (-.f64 (cosh.f64 x) #s(literal 1 binary64))) (.f64 (sinh.f64 x) (-.f64 (cosh.f64 x) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))) (neg.f64 (/.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)) #s(literal -2 binary64)))) (fma.f64 #s(literal -1 binary64) (exp.f64 x) #s(literal -1 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) (pow.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 9 binary64)) (pow.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)) #s(literal -3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)) #s(literal -2 binary64)) (*.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))) (pow.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (pow.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x))))) (neg.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (exp.f64 x) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x))))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 x)))) (neg.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64))))
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(/.f64 (sqrt.f64 (.f64 (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))) (exp.f64 x))) (sqrt.f64 (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) x)) (*.f64 (sinh.f64 x) (cosh.f64 x)))))
(/.f64 (sqrt.f64 (.f64 (exp.f64 x) (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))))) (sqrt.f64 (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) x)) (*.f64 (sinh.f64 x) (cosh.f64 x)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (.f64 (cosh.f64 x) (exp.f64 x)) #s(literal 2 binary64)) (pow.f64 (.f64 (sinh.f64 x) (exp.f64 x)) #s(literal 2 binary64)))) (sqrt.f64 (-.f64 (.f64 (cosh.f64 x) (exp.f64 x)) (.f64 (sinh.f64 x) (exp.f64 x)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 (cosh.f64 x) (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 (sinh.f64 x) (exp.f64 x)) #s(literal 3 binary64)))) (sqrt.f64 (+.f64 (pow.f64 (.f64 (cosh.f64 x) (exp.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (sinh.f64 x) (exp.f64 x)) #s(literal 2 binary64)) (.f64 (.f64 (cosh.f64 x) (exp.f64 x)) (*.f64 (sinh.f64 x) (exp.f64 x)))))))
(/.f64 (sqrt.f64 (.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))))) (sqrt.f64 (.f64 (exp.f64 (neg.f64 x)) (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (sinh.f64 x) (cosh.f64 x))))))
(/.f64 (sqrt.f64 (.f64 (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))) #s(literal 1 binary64))) (sqrt.f64 (.f64 (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (sinh.f64 x) (cosh.f64 x))) (exp.f64 (neg.f64 x)))))
(/.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 (neg.f64 x))))
(/.f64 (exp.f64 (log.f64 (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))))) (exp.f64 (log.f64 (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (sinh.f64 x) (cosh.f64 x))))))
(/.f64 (-.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) (pow.f64 (cosh.f64 x) #s(literal 2 binary64))) (-.f64 (sinh.f64 x) (cosh.f64 x)))
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 2 binary64))
(/.f64 (neg.f64 (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (sinh.f64 x) (sinh.f64 x) (-.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (sinh.f64 x) (cosh.f64 x))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64)))) (neg.f64 (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (sinh.f64 x) (cosh.f64 x)))))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64)))) (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) x)) (*.f64 (sinh.f64 x) (cosh.f64 x))))
(/.f64 (.f64 (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))) #s(literal 1 binary64)) (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) x)) (*.f64 (sinh.f64 x) (cosh.f64 x))))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal 4 binary64))
(/.f64 (fabs.f64 (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64)))) (fabs.f64 (fma.f64 (sinh.f64 x) (sinh.f64 x) (-.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (sinh.f64 x) (cosh.f64 x))))))
(/.f64 (fabs.f64 (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64)))) (fabs.f64 (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (sinh.f64 x) (cosh.f64 x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 x))))
(/.f64 (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))) (fma.f64 (sinh.f64 x) (sinh.f64 x) (-.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (sinh.f64 x) (cosh.f64 x)))))
(/.f64 (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))) (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (sinh.f64 x) (cosh.f64 x))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (exp.f64 (neg.f64 x)))))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(fma.f64 (sinh.f64 x) #s(literal 1 binary64) (*.f64 (cosh.f64 x) #s(literal 1 binary64)))
(fma.f64 (cosh.f64 x) #s(literal 1 binary64) (*.f64 (sinh.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (sinh.f64 x) (*.f64 #s(literal 1 binary64) (cosh.f64 x)))
(fma.f64 #s(literal 1 binary64) (cosh.f64 x) (*.f64 #s(literal 1 binary64) (sinh.f64 x)))
(sqrt.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))
(-.f64 (/.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) (-.f64 (sinh.f64 x) (cosh.f64 x))) (/.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) (-.f64 (sinh.f64 x) (cosh.f64 x))))
(-.f64 (/.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (/.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))))
(-.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x)))
(fabs.f64 (-.f64 (/.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (/.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))))
(fabs.f64 (neg.f64 (neg.f64 (exp.f64 x))))
(fabs.f64 (neg.f64 (exp.f64 x)))
(fabs.f64 (exp.f64 x))
(+.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 4 binary64)))
(+.f64 (/.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (fma.f64 (sinh.f64 x) (sinh.f64 x) (-.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) (.f64 (sinh.f64 x) (cosh.f64 x))))) (/.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (fma.f64 (sinh.f64 x) (sinh.f64 x) (-.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) (.f64 (sinh.f64 x) (cosh.f64 x))))))
(+.f64 (/.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (fma.f64 (sinh.f64 x) (sinh.f64 x) (-.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) (.f64 (sinh.f64 x) (cosh.f64 x))))) (/.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (fma.f64 (sinh.f64 x) (sinh.f64 x) (-.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) (.f64 (sinh.f64 x) (cosh.f64 x))))))
(+.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 4 binary64)))
(+.f64 (.f64 (cosh.f64 x) #s(literal 1 binary64)) (.f64 (sinh.f64 x) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (sinh.f64 x)) (.f64 #s(literal 1 binary64) (cosh.f64 x)))
(+.f64 (.f64 #s(literal 1 binary64) (cosh.f64 x)) (.f64 #s(literal 1 binary64) (sinh.f64 x)))
(+.f64 (.f64 (sinh.f64 x) #s(literal 1 binary64)) (.f64 (cosh.f64 x) #s(literal 1 binary64)))
(+.f64 (/.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (sinh.f64 x) (cosh.f64 x)))) (/.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (sinh.f64 x) (cosh.f64 x)))))
(+.f64 (/.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (sinh.f64 x) (cosh.f64 x)))) (/.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (sinh.f64 x) (cosh.f64 x)))))
(+.f64 (sinh.f64 x) (cosh.f64 x))
(+.f64 (cosh.f64 x) (sinh.f64 x))
(exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))
(exp.f64 (*.f64 x #s(literal 1 binary64)))
(exp.f64 x)

eval57.0ms (1.1%)

Memory: -9.8MiB live, 35.6MiB allocated; 3ms collecting garbage
Compiler: Compiled 6 736 to 862 computations (87.2% saved)

prune9.0ms (0.2%)

Memory

16.3MiB live, 16.3MiB allocated; 0ms collecting garbage

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	277	8	285
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	278	8	286

Accuracy

100.0%

Counts

286 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	8.8%	(-.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64))
	8.2%	(-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
▶	5.4%	(-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64))
▶	98.7%	(+.f64 (sinh.f64 x) (-.f64 (cosh.f64 x) #s(literal 1 binary64)))
▶	100.0%	(expm1.f64 x)
	99.4%	#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
	99.3%	#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
▶	98.9%	#s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))

Compiler

Compiled 160 to 124 computations (22.5% saved)

simplify158.0ms (3.1%)

Memory

-28.3MiB live, 71.0MiB allocated; 23ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score
cost-diff	0	(cosh.f64 x)
cost-diff	0	(-.f64 (cosh.f64 x) #s(literal 1 binary64))
cost-diff	0	(sinh.f64 x)
cost-diff	5	(+.f64 (sinh.f64 x) (-.f64 (cosh.f64 x) #s(literal 1 binary64)))
cost-diff	0	(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
cost-diff	0	(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))
cost-diff	0	#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
cost-diff	0	(-.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64))
cost-diff	0	(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
cost-diff	0	(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
cost-diff	0	#s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
cost-diff	0	#s(approx (exp x) #s(literal 1 binary64))
cost-diff	0	(-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64))
cost-diff	0	(expm1.f64 x)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	106
0	36	101
1	58	101
2	123	101
3	379	101
4	2013	101
5	7270	101
0	10244	101

Stop Event

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

Calls

Call 1

Inputs
(expm1.f64 x)
x
(-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (exp x) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
#s(literal 1/2 binary64)
x
#s(literal 1 binary64)
(-.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
x
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(+.f64 (sinh.f64 x) (-.f64 (cosh.f64 x) #s(literal 1 binary64)))
(sinh.f64 x)
x
(-.f64 (cosh.f64 x) #s(literal 1 binary64))
(cosh.f64 x)
#s(literal 1 binary64)

Outputs
(expm1.f64 x)
x
(-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (exp x) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
#s(literal 1/2 binary64)
x
#s(literal 1 binary64)
(-.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
x
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(+.f64 (sinh.f64 x) (-.f64 (cosh.f64 x) #s(literal 1 binary64)))
(expm1.f64 x)
(sinh.f64 x)
x
(-.f64 (cosh.f64 x) #s(literal 1 binary64))
(cosh.f64 x)
#s(literal 1 binary64)

localize141.0ms (2.8%)

Memory

25.2MiB live, 70.3MiB allocated; 4ms collecting garbage

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0.0	(cosh.f64 x)
accuracy	0.0078125	(sinh.f64 x)
accuracy	0.015625	(+.f64 (sinh.f64 x) (-.f64 (cosh.f64 x) #s(literal 1 binary64)))
accuracy	30.43930582670631	(-.f64 (cosh.f64 x) #s(literal 1 binary64))
accuracy	0.0	(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
accuracy	0.0	(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
accuracy	0.3892681880841002	#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
accuracy	57.94197574358541	(-.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64))
accuracy	0.0	(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
accuracy	0.01171875	(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
accuracy	0.7013567237578566	#s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
accuracy	1.7049054058143616	#s(approx (exp x) #s(literal 1 binary64))
accuracy	57.94197574358541	(-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64))
accuracy	0.00390625	(expm1.f64 x)

Samples

127.0ms	253×	1	valid
0.0ms	3×	0	valid

Compiler

Compiled 87 to 21 computations (75.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 108.0ms

ival-expm1: 34.0ms (31.5% of total)

ival-cosh: 28.0ms (25.9% of total)

adjust: 20.0ms (18.5% of total)

ival-mult: 7.0ms (6.5% of total)

ival-add: 6.0ms (5.6% of total)

const: 4.0ms (3.7% of total)

ival-sinh: 4.0ms (3.7% of total)

ival-sub: 3.0ms (2.8% of total)

ival-exp: 2.0ms (1.9% of total)

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

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

exact: 0.0ms (0% of total)

series9.0ms (0.2%)

Memory

6.9MiB live, 6.9MiB allocated; 0ms collecting garbage

Counts

15 → 42

Calls

Call 1

Inputs
(expm1.f64 x)
(-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (exp x) #s(literal 1 binary64))
#s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(-.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(+.f64 (sinh.f64 x) (-.f64 (cosh.f64 x) #s(literal 1 binary64)))
(sinh.f64 x)
(-.f64 (cosh.f64 x) #s(literal 1 binary64))
(cosh.f64 x)
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))

Outputs
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 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))))))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/720 (* 1/40320 (pow x 2))))))))
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
1/2
(+ 1/2 (* 1/6 x))
(- (exp x) 1)
(exp x)
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* 1/2 x)
(* x (+ 1/2 (/ 1 x)))
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))
(* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(- (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* 1/2 (- (exp x) (/ 1 (exp x))))) 1)
(* 1/2 (- (exp x) (/ 1 (exp x))))
(- (* 1/2 (+ (exp x) (/ 1 (exp x)))) 1)
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/6 x)
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1/6)))

Calls

3 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	((- (exp x) 1) (- (exp x) 1) (exp x) (- (exp x) 1) (* (+ (* 1/2 x) 1) x) (+ (* 1/2 x) 1) (- (exp x) 1) (exp x) (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (+ (* (+ (* 1/6 x) 1/2) x) 1) (+ (sinh x) (- (cosh x) 1)) (sinh x) (- (cosh x) 1) (cosh x) (+ (* 1/6 x) 1/2))
3.0ms	x	@	inf	((- (exp x) 1) (- (exp x) 1) (exp x) (- (exp x) 1) (* (+ (* 1/2 x) 1) x) (+ (* 1/2 x) 1) (- (exp x) 1) (exp x) (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (+ (* (+ (* 1/6 x) 1/2) x) 1) (+ (sinh x) (- (cosh x) 1)) (sinh x) (- (cosh x) 1) (cosh x) (+ (* 1/6 x) 1/2))
2.0ms	x	@	0	((- (exp x) 1) (- (exp x) 1) (exp x) (- (exp x) 1) (* (+ (* 1/2 x) 1) x) (+ (* 1/2 x) 1) (- (exp x) 1) (exp x) (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (+ (* (+ (* 1/6 x) 1/2) x) 1) (+ (sinh x) (- (cosh x) 1)) (sinh x) (- (cosh x) 1) (cosh x) (+ (* 1/6 x) 1/2))

Time

Variable

Point

Expression

3.0ms

-inf

((- (exp x) 1) (- (exp x) 1) (exp x) (- (exp x) 1) (* (+ (* 1/2 x) 1) x) (+ (* 1/2 x) 1) (- (exp x) 1) (exp x) (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (+ (* (+ (* 1/6 x) 1/2) x) 1) (+ (sinh x) (- (cosh x) 1)) (sinh x) (- (cosh x) 1) (cosh x) (+ (* 1/6 x) 1/2))

3.0ms

inf

((- (exp x) 1) (- (exp x) 1) (exp x) (- (exp x) 1) (* (+ (* 1/2 x) 1) x) (+ (* 1/2 x) 1) (- (exp x) 1) (exp x) (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (+ (* (+ (* 1/6 x) 1/2) x) 1) (+ (sinh x) (- (cosh x) 1)) (sinh x) (- (cosh x) 1) (cosh x) (+ (* 1/6 x) 1/2))

2.0ms

((- (exp x) 1) (- (exp x) 1) (exp x) (- (exp x) 1) (* (+ (* 1/2 x) 1) x) (+ (* 1/2 x) 1) (- (exp x) 1) (exp x) (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (+ (* (+ (* 1/6 x) 1/2) x) 1) (+ (sinh x) (- (cosh x) 1)) (sinh x) (- (cosh x) 1) (cosh x) (+ (* 1/6 x) 1/2))

simplify175.0ms (3.5%)

Memory

4.9MiB live, 93.6MiB allocated; 12ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	108	389
1	424	381
2	1512	378
3	6340	377
0	8280	330

Stop Event

1×	iter limit
1×	node limit

Counts

42 → 41

Calls

Call 1

Inputs
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 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))))))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/720 (* 1/40320 (pow x 2))))))))
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
1/2
(+ 1/2 (* 1/6 x))
(- (exp x) 1)
(exp x)
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* 1/2 x)
(* x (+ 1/2 (/ 1 x)))
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))
(* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(- (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* 1/2 (- (exp x) (/ 1 (exp x))))) 1)
(* 1/2 (- (exp x) (/ 1 (exp x))))
(- (* 1/2 (+ (exp x) (/ 1 (exp x)))) 1)
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/6 x)
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1/6)))

Outputs
x
(* x (+ 1 (* 1/2 x)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(* 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 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #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 3 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)) x)
(* 1/2 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x)
(* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x)
(* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/720 (* 1/40320 (pow x 2))))))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
(+ 1 (* 1/2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 x))
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
(- (exp x) 1)
(expm1.f64 x)
(exp x)
(exp.f64 x)
(* (pow x 2) (+ 1/2 (/ 1 x)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (/ 1 x)))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(* 1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))
(.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x)
(* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x)
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(- (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* 1/2 (- (exp x) (/ 1 (exp x))))) 1)
(fma.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (exp.f64 x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 x)) #s(literal 1 binary64)))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))
(- (* 1/2 (+ (exp x) (/ 1 (exp x)))) 1)
(fma.f64 #s(literal 1/2 binary64) (exp.f64 x) (-.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 x)) #s(literal 1 binary64)))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 x) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) x) #s(literal 1/6 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1/6)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal -1/2 binary64)) x) #s(literal 1/6 binary64)))

rewrite274.0ms (5.4%)

Memory

-11.0MiB live, 127.0MiB allocated; 20ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	95
0	36	90
1	159	90
2	1285	90
0	8446	90

Stop Event

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

Counts

15 → 413

Calls

Call 1

Inputs
(expm1.f64 x)
(-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (exp x) #s(literal 1 binary64))
#s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(-.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(+.f64 (sinh.f64 x) (-.f64 (cosh.f64 x) #s(literal 1 binary64)))
(sinh.f64 x)
(-.f64 (cosh.f64 x) #s(literal 1 binary64))
(cosh.f64 x)
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))

Outputs
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (+.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 (expm1.f64 x) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 x)))) (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -1 binary64)))) (+.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 x))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 x)))) (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 x))))) (.f64 (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal -1 binary64)))) (+.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 x)))) (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) (-.f64 (sinh.f64 x) (-.f64 (cosh.f64 x) #s(literal 1 binary64)))) (/.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) (-.f64 (sinh.f64 x) (-.f64 (cosh.f64 x) #s(literal 1 binary64))))) (.f64 (/.f64 (pow.f64 (-.f64 (cosh.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (sinh.f64 x) (-.f64 (cosh.f64 x) #s(literal 1 binary64)))) (/.f64 (pow.f64 (-.f64 (cosh.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (sinh.f64 x) (-.f64 (cosh.f64 x) #s(literal 1 binary64)))))) (+.f64 (/.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) (-.f64 (sinh.f64 x) (-.f64 (cosh.f64 x) #s(literal 1 binary64)))) (/.f64 (pow.f64 (-.f64 (cosh.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (sinh.f64 x) (-.f64 (cosh.f64 x) #s(literal 1 binary64))))))
(/.f64 (-.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (sinh.f64 x)) (-.f64 #s(literal 1 binary64) (sinh.f64 x)))) (+.f64 (cosh.f64 x) (-.f64 #s(literal 1 binary64) (sinh.f64 x))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (fma.f64 (-.f64 (cosh.f64 x) #s(literal 1 binary64)) (-.f64 (-.f64 (cosh.f64 x) #s(literal 1 binary64)) (sinh.f64 x)) (pow.f64 (sinh.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (fma.f64 (-.f64 (cosh.f64 x) #s(literal 1 binary64)) (-.f64 (-.f64 (cosh.f64 x) #s(literal 1 binary64)) (sinh.f64 x)) (pow.f64 (sinh.f64 x) #s(literal 2 binary64))))) (.f64 (/.f64 (pow.f64 (-.f64 (cosh.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (-.f64 (cosh.f64 x) #s(literal 1 binary64)) (-.f64 (-.f64 (cosh.f64 x) #s(literal 1 binary64)) (sinh.f64 x)) (pow.f64 (sinh.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (-.f64 (cosh.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (-.f64 (cosh.f64 x) #s(literal 1 binary64)) (-.f64 (-.f64 (cosh.f64 x) #s(literal 1 binary64)) (sinh.f64 x)) (pow.f64 (sinh.f64 x) #s(literal 2 binary64)))))) (-.f64 (/.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (fma.f64 (-.f64 (cosh.f64 x) #s(literal 1 binary64)) (-.f64 (-.f64 (cosh.f64 x) #s(literal 1 binary64)) (sinh.f64 x)) (pow.f64 (sinh.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (-.f64 (cosh.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (-.f64 (cosh.f64 x) #s(literal 1 binary64)) (-.f64 (-.f64 (cosh.f64 x) #s(literal 1 binary64)) (sinh.f64 x)) (pow.f64 (sinh.f64 x) #s(literal 2 binary64))))))
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(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (.f64 x x) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 x #s(literal 1/12 binary64))))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 2 binary64)) (.f64 x #s(literal 1/12 binary64)))))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (.f64 x x) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 x #s(literal 1/12 binary64)))))
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) x))) (/.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 x) #s(literal 1/6 binary64)))
(+.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 2 binary64)) (.f64 x #s(literal 1/12 binary64))))) (/.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 3 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 2 binary64)) (*.f64 x #s(literal 1/12 binary64))))))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 3 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 2 binary64)) (.f64 x #s(literal 1/12 binary64))))) (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 2 binary64)) (*.f64 x #s(literal 1/12 binary64))))))
(+.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 (.f64 x x) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 x #s(literal 1/12 binary64))))) (/.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/12 binary64))))))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 x #s(literal 1/12 binary64))))) (/.f64 #s(literal 1/8 binary64) (fma.f64 (.f64 x x) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/12 binary64))))))
(+.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))

eval61.0ms (1.2%)

Memory: 13.6MiB live, 58.4MiB allocated; 5ms collecting garbage
Compiler: Compiled 13 617 to 1 746 computations (87.2% saved)

prune52.0ms (1%)

Memory

-12.6MiB live, 42.1MiB allocated; 7ms collecting garbage

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	369	3	372
Fresh	0	3	3
Picked	1	4	5
Done	0	0	0
Total	370	10	380

Accuracy

100.0%

Counts

380 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	8.8%	(-.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64))
▶	8.2%	(-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
✓	5.4%	(-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64))
▶	99.9%	(+.f64 (sinh.f64 x) #s(approx (- (cosh x) 1) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)))
✓	100.0%	(expm1.f64 x)
▶	98.9%	#s(approx (- (exp x) 1) (fma.f64 (.f64 #s(literal 1/2 binary64) x) x (.f64 #s(literal 1 binary64) x)))
	99.4%	#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
▶	99.3%	#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
✓	98.9%	#s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
▶	5.8%	#s(approx (- (exp x) 1) (.f64 #s(approx (+ ( 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)) x))

Compiler

Compiled 226 to 164 computations (27.4% saved)

simplify109.0ms (2.2%)

Memory

-15.1MiB live, 116.9MiB allocated; 17ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
cost-diff	0	(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
cost-diff	0	(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
cost-diff	0	#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
cost-diff	0	(*.f64 #s(literal 1/2 binary64) x)
cost-diff	0	(fma.f64 (.f64 #s(literal 1/2 binary64) x) x (.f64 #s(literal 1 binary64) x))
cost-diff	0	#s(approx (- (exp x) 1) (fma.f64 (.f64 #s(literal 1/2 binary64) x) x (.f64 #s(literal 1 binary64) x)))
cost-diff	2	(*.f64 #s(literal 1 binary64) x)
cost-diff	0	(*.f64 #s(literal 1/2 binary64) x)
cost-diff	0	#s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x))
cost-diff	0	(.f64 #s(approx (+ ( 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)) x)
cost-diff	0	#s(approx (- (exp x) 1) (.f64 #s(approx (+ ( 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)) x))
cost-diff	0	(+.f64 #s(literal 1 binary64) x)
cost-diff	0	#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
cost-diff	0	(-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
cost-diff	0	(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
cost-diff	0	#s(approx (- (cosh x) 1) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x))
cost-diff	0	(sinh.f64 x)
cost-diff	0	(+.f64 (sinh.f64 x) #s(approx (- (cosh x) 1) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	262
0	59	256
1	108	256
2	348	256
3	1384	256
4	5045	256
0	8040	247

Stop Event

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

Calls

Call 1

Inputs
(+.f64 (sinh.f64 x) #s(approx (- (cosh x) 1) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)))
(sinh.f64 x)
x
#s(approx (- (cosh x) 1) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(fma.f64 (fma.f64 #s(literal 1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64))
(fma.f64 #s(literal 1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64))
#s(literal 1/40320 binary64)
(*.f64 x x)
#s(literal 1/720 binary64)
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
(-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(approx (- (exp x) 1) (.f64 #s(approx (+ ( 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)) x))
(.f64 #s(approx (+ ( 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)) x)
#s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
#s(approx (- (exp x) 1) (fma.f64 (.f64 #s(literal 1/2 binary64) x) x (.f64 #s(literal 1 binary64) x)))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) x (.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(*.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
x
#s(literal 1/2 binary64)
#s(literal 1 binary64)

Outputs
(+.f64 (sinh.f64 x) #s(approx (- (cosh x) 1) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)))
(+.f64 #s(approx (- (cosh x) 1) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)) (sinh.f64 x))
(sinh.f64 x)
x
#s(approx (- (cosh x) 1) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x))
#s(approx (- (cosh x) 1) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(fma.f64 (fma.f64 #s(literal 1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64))
(fma.f64 #s(literal 1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64))
#s(literal 1/40320 binary64)
(*.f64 x x)
#s(literal 1/720 binary64)
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
(-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(approx (- (exp x) 1) (.f64 #s(approx (+ ( 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)) x))
(.f64 #s(approx (+ ( 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)) x)
#s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
#s(approx (- (exp x) 1) (fma.f64 (.f64 #s(literal 1/2 binary64) x) x (.f64 #s(literal 1 binary64) x)))
#s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) x (.f64 #s(literal 1 binary64) x))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(*.f64 #s(literal 1 binary64) x)
x
#s(literal 1 binary64)
#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
x
#s(literal 1/2 binary64)
#s(literal 1 binary64)

localize255.0ms (5.1%)

Memory

-5.5MiB live, 237.8MiB allocated; 115ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
accuracy	0.0	(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
accuracy	0.0234375	(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
accuracy	0.4652171859567311	#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
accuracy	0.0	(fma.f64 (.f64 #s(literal 1/2 binary64) x) x (.f64 #s(literal 1 binary64) x))
accuracy	0.0	(*.f64 #s(literal 1 binary64) x)
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) x)
accuracy	0.7013567237578566	#s(approx (- (exp x) 1) (fma.f64 (.f64 #s(literal 1/2 binary64) x) x (.f64 #s(literal 1 binary64) x)))
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) x)
accuracy	0.01171875	(.f64 #s(approx (+ ( 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)) x)
accuracy	0.7013567237578566	#s(approx (- (exp x) 1) (.f64 #s(approx (+ ( 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)) x))
accuracy	61.594663956739055	#s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x))
accuracy	0.0	(+.f64 #s(literal 1 binary64) x)
accuracy	0.7570983976427577	#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
accuracy	57.94197574358541	(-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
accuracy	0.015625	(+.f64 (sinh.f64 x) #s(approx (- (cosh x) 1) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)))
accuracy	0.015625	(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)
accuracy	0.01953125	(fma.f64 (fma.f64 #s(literal 1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64))
accuracy	0.08121193211435407	#s(approx (- (cosh x) 1) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x))

Samples

176.0ms	253×	1	valid
1.0ms	3×	0	valid

Compiler

Compiled 193 to 36 computations (81.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 145.0ms

adjust: 31.0ms (21.3% of total)

ival-cosh: 30.0ms (20.6% of total)

const: 27.0ms (18.6% of total)

ival-mult: 24.0ms (16.5% of total)

ival-add: 17.0ms (11.7% of total)

ival-sinh: 9.0ms (6.2% of total)

ival-sub: 3.0ms (2.1% of total)

ival-exp: 2.0ms (1.4% of total)

ival-expm1: 2.0ms (1.4% of total)

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

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

exact: 0.0ms (0% of total)

series8.0ms (0.2%)

Memory

7.8MiB live, 7.8MiB allocated; 0ms collecting garbage

Counts

20 → 56

Calls

Call 1

Inputs
(+.f64 (sinh.f64 x) #s(approx (- (cosh x) 1) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)))
(sinh.f64 x)
#s(approx (- (cosh x) 1) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
(-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
#s(approx (- (exp x) 1) (.f64 #s(approx (+ ( 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)) x))
(.f64 #s(approx (+ ( 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)) x)
#s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1 binary64) x)
#s(approx (- (exp x) 1) (fma.f64 (.f64 #s(literal 1/2 binary64) x) x (.f64 #s(literal 1 binary64) x)))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) x (.f64 #s(literal 1 binary64) x))
#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
(fma.f64 (fma.f64 #s(literal 1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)

Outputs
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 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))))))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/720 (* 1/40320 (pow x 2))))))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(+ 1 (* 1/2 x))
(* 1/2 x)
(+ 1 (* x (+ 1/2 (* 1/6 x))))
1/2
(+ 1/2 (* 1/6 x))
1/24
(+ 1/24 (* 1/720 (pow x 2)))
(+ 1/24 (* (pow x 2) (+ 1/720 (* 1/40320 (pow x 2)))))
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/720 (* 1/40320 (pow x 2))))))))
(- (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* 1/2 (- (exp x) (/ 1 (exp x))))) 1)
(* 1/2 (- (exp x) (/ 1 (exp x))))
(- (* 1/2 (+ (exp x) (/ 1 (exp x)))) 1)
(* 1/40320 (pow x 8))
(* (pow x 8) (+ 1/40320 (* 1/720 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1/40320 (+ (/ 1/24 (pow x 4)) (* 1/720 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 1/40320 (+ (/ 1/24 (pow x 4)) (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))))))
(- (exp x) 1)
(exp x)
(* x (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* x (+ 1/2 (/ 1 x)))
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))
(* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* 1/6 x)
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(* 1/40320 (pow x 4))
(* (pow x 4) (+ 1/40320 (* 1/720 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/40320 (+ (/ 1/24 (pow x 4)) (* 1/720 (/ 1 (pow x 2))))))
(* 1/40320 (pow x 7))
(* (pow x 7) (+ 1/40320 (* 1/720 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/40320 (+ (/ 1/24 (pow x 4)) (* 1/720 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/40320 (+ (/ 1/24 (pow x 4)) (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/720 (* 1/24 (/ 1 (pow x 2)))) (pow x 2))) 1/40320)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/40320 (* 1/720 (/ 1 (pow x 2)))))))

Calls

3 calls:

Time

Variable

Point

Expression

3.0ms

-inf

((+ (sinh x) (- (cosh x) 1)) (sinh x) (- (cosh x) 1) (* (* (+ (* (+ (* (+ (* 1/40320 (* x x)) 1/720) (* x x)) 1/24) (* x x)) 1/2) x) x) (- (exp x) 1) (exp x) (+ 1 x) (- (exp x) 1) (* (+ (* 1/2 x) 1) x) (+ (* 1/2 x) 1) (* 1/2 x) (* 1 x) (- (exp x) 1) (+ (* (* 1/2 x) x) (* 1 x)) (- (exp x) 1) (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) (+ (* (+ (* 1/6 x) 1/2) x) 1) (+ (* 1/6 x) 1/2) (+ (* (+ (* 1/40320 (* x x)) 1/720) (* x x)) 1/24) (* (+ (* (+ (* (+ (* 1/40320 (* x x)) 1/720) (* x x)) 1/24) (* x x)) 1/2) x))

3.0ms

inf

((+ (sinh x) (- (cosh x) 1)) (sinh x) (- (cosh x) 1) (* (* (+ (* (+ (* (+ (* 1/40320 (* x x)) 1/720) (* x x)) 1/24) (* x x)) 1/2) x) x) (- (exp x) 1) (exp x) (+ 1 x) (- (exp x) 1) (* (+ (* 1/2 x) 1) x) (+ (* 1/2 x) 1) (* 1/2 x) (* 1 x) (- (exp x) 1) (+ (* (* 1/2 x) x) (* 1 x)) (- (exp x) 1) (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) (+ (* (+ (* 1/6 x) 1/2) x) 1) (+ (* 1/6 x) 1/2) (+ (* (+ (* 1/40320 (* x x)) 1/720) (* x x)) 1/24) (* (+ (* (+ (* (+ (* 1/40320 (* x x)) 1/720) (* x x)) 1/24) (* x x)) 1/2) x))

1.0ms

((+ (sinh x) (- (cosh x) 1)) (sinh x) (- (cosh x) 1) (* (* (+ (* (+ (* (+ (* 1/40320 (* x x)) 1/720) (* x x)) 1/24) (* x x)) 1/2) x) x) (- (exp x) 1) (exp x) (+ 1 x) (- (exp x) 1) (* (+ (* 1/2 x) 1) x) (+ (* 1/2 x) 1) (* 1/2 x) (* 1 x) (- (exp x) 1) (+ (* (* 1/2 x) x) (* 1 x)) (- (exp x) 1) (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) (+ (* (+ (* 1/6 x) 1/2) x) 1) (+ (* 1/6 x) 1/2) (+ (* (+ (* 1/40320 (* x x)) 1/720) (* x x)) 1/24) (* (+ (* (+ (* (+ (* 1/40320 (* x x)) 1/720) (* x x)) 1/24) (* x x)) 1/2) x))

simplify124.0ms (2.5%)

Memory

34.2MiB live, 125.8MiB allocated; 12ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	141	566
1	551	558
2	1823	555
3	6493	555
0	8280	508

Stop Event

1×	iter limit
1×	node limit

Counts

56 → 55

Calls

Call 1

Inputs
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 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))))))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/720 (* 1/40320 (pow x 2))))))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(+ 1 (* 1/2 x))
(* 1/2 x)
(+ 1 (* x (+ 1/2 (* 1/6 x))))
1/2
(+ 1/2 (* 1/6 x))
1/24
(+ 1/24 (* 1/720 (pow x 2)))
(+ 1/24 (* (pow x 2) (+ 1/720 (* 1/40320 (pow x 2)))))
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/720 (* 1/40320 (pow x 2))))))))
(- (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* 1/2 (- (exp x) (/ 1 (exp x))))) 1)
(* 1/2 (- (exp x) (/ 1 (exp x))))
(- (* 1/2 (+ (exp x) (/ 1 (exp x)))) 1)
(* 1/40320 (pow x 8))
(* (pow x 8) (+ 1/40320 (* 1/720 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1/40320 (+ (/ 1/24 (pow x 4)) (* 1/720 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 1/40320 (+ (/ 1/24 (pow x 4)) (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))))))
(- (exp x) 1)
(exp x)
(* x (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* x (+ 1/2 (/ 1 x)))
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))
(* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* 1/6 x)
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(* 1/40320 (pow x 4))
(* (pow x 4) (+ 1/40320 (* 1/720 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/40320 (+ (/ 1/24 (pow x 4)) (* 1/720 (/ 1 (pow x 2))))))
(* 1/40320 (pow x 7))
(* (pow x 7) (+ 1/40320 (* 1/720 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/40320 (+ (/ 1/24 (pow x 4)) (* 1/720 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/40320 (+ (/ 1/24 (pow x 4)) (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/720 (* 1/24 (/ 1 (pow x 2)))) (pow x 2))) 1/40320)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/40320 (* 1/720 (/ 1 (pow x 2)))))))

Outputs
x
(* x (+ 1 (* 1/2 x)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) 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 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #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 3 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)) x)
(* 1/2 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x)
(* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x)
(* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/720 (* 1/40320 (pow x 2))))))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
1
#s(literal 1 binary64)
(+ 1 x)
(-.f64 x #s(literal -1 binary64))
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 x))
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
1/24
#s(literal 1/24 binary64)
(+ 1/24 (* 1/720 (pow x 2)))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
(+ 1/24 (* (pow x 2) (+ 1/720 (* 1/40320 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64))
(* x (+ 1/2 (* 1/24 (pow x 2))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/720 (* 1/40320 (pow x 2))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)
(- (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* 1/2 (- (exp x) (/ 1 (exp x))))) 1)
(fma.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (exp.f64 x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 x)) #s(literal 1 binary64)))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))
(- (* 1/2 (+ (exp x) (/ 1 (exp x)))) 1)
(fma.f64 #s(literal 1/2 binary64) (exp.f64 x) (-.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 x)) #s(literal 1 binary64)))
(* 1/40320 (pow x 8))
(*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/40320 binary64))
(* (pow x 8) (+ 1/40320 (* 1/720 (/ 1 (pow x 2)))))
(.f64 (+.f64 (/.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/40320 binary64)) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (+ 1/40320 (+ (/ 1/24 (pow x 4)) (* 1/720 (/ 1 (pow x 2))))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/40320 binary64)) (/.f64 #s(literal -1/720 binary64) (.f64 x x))) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (+ 1/40320 (+ (/ 1/24 (pow x 4)) (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))))))
(.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/40320 binary64)) (/.f64 #s(literal -1/720 binary64) (.f64 x x))) (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 8 binary64)))
(- (exp x) 1)
(expm1.f64 x)
(exp x)
(exp.f64 x)
(* x (+ 1 (/ 1 x)))
(-.f64 x #s(literal -1 binary64))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(* x (+ 1/2 (/ 1 x)))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(* 1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))
(.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x)
(* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x)
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
(* 1/40320 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/40320 binary64))
(* (pow x 4) (+ 1/40320 (* 1/720 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/40320 binary64)))
(* (pow x 4) (+ 1/40320 (+ (/ 1/24 (pow x 4)) (* 1/720 (/ 1 (pow x 2))))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/40320 binary64)) (/.f64 #s(literal -1/720 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(* 1/40320 (pow x 7))
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/40320 binary64))
(* (pow x 7) (+ 1/40320 (* 1/720 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/40320 binary64)))
(* (pow x 7) (+ 1/40320 (+ (/ 1/24 (pow x 4)) (* 1/720 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/40320 binary64)) (/.f64 #s(literal -1/720 binary64) (.f64 x x))))
(* (pow x 7) (+ 1/40320 (+ (/ 1/24 (pow x 4)) (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/40320 binary64)) (/.f64 #s(literal -1/720 binary64) (.f64 x x))) (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 6 binary64)))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) x) #s(literal 1/6 binary64)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/720 (* 1/24 (/ 1 (pow x 2)))) (pow x 2))) 1/40320)))
(.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) (+.f64 (/.f64 #s(literal -1/720 binary64) (.f64 x x)) (-.f64 (/.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/40320 binary64))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/40320 (* 1/720 (/ 1 (pow x 2)))))))
(.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) (-.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) x) x) #s(literal -1/24 binary64)) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/40320 binary64))))

rewrite191.0ms (3.8%)

Memory

-18.1MiB live, 215.8MiB allocated; 21ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	218
0	59	212
1	254	212
2	1842	212
0	9109	203

Stop Event

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

Counts

20 → 376

Calls

Call 1

Inputs
(+.f64 (sinh.f64 x) #s(approx (- (cosh x) 1) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)))
(sinh.f64 x)
#s(approx (- (cosh x) 1) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
(-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
#s(approx (- (exp x) 1) (.f64 #s(approx (+ ( 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)) x))
(.f64 #s(approx (+ ( 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)) x)
#s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1 binary64) x)
#s(approx (- (exp x) 1) (fma.f64 (.f64 #s(literal 1/2 binary64) x) x (.f64 #s(literal 1 binary64) x)))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) x (.f64 #s(literal 1 binary64) x))
#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
(fma.f64 (fma.f64 #s(literal 1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)

Outputs
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (fma.f64 #s(approx (- (cosh x) 1) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x)) (-.f64 #s(approx (- (cosh x) 1) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x)) (sinh.f64 x)) (pow.f64 (sinh.f64 x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 #s(approx (- (cosh x) 1) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x)) #s(literal 3 binary64)) (fma.f64 #s(approx (- (cosh x) 1) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x)) (-.f64 #s(approx (- (cosh x) 1) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x)) (sinh.f64 x)) (pow.f64 (sinh.f64 x) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (fma.f64 #s(approx (- (cosh x) 1) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x)) (-.f64 #s(approx (- (cosh x) 1) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x)) (sinh.f64 x)) (pow.f64 (sinh.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (fma.f64 #s(approx (- (cosh x) 1) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x)) (-.f64 #s(approx (- (cosh x) 1) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x)) (sinh.f64 x)) (pow.f64 (sinh.f64 x) #s(literal 2 binary64)))) (-.f64 (.f64 (/.f64 (pow.f64 #s(approx (- (cosh x) 1) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x)) #s(literal 3 binary64)) (fma.f64 #s(approx (- (cosh x) 1) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x)) (-.f64 #s(approx (- (cosh x) 1) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x)) (sinh.f64 x)) (pow.f64 (sinh.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 #s(approx (- (cosh x) 1) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x)) #s(literal 3 binary64)) (fma.f64 #s(approx (- (cosh x) 1) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x)) (-.f64 #s(approx (- (cosh x) 1) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x)) (sinh.f64 x)) (pow.f64 (sinh.f64 x) #s(literal 2 binary64))))) (.f64 (/.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (fma.f64 #s(approx (- (cosh x) 1) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x)) (-.f64 #s(approx (- (cosh x) 1) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x)) (sinh.f64 x)) (pow.f64 (sinh.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 #s(approx (- (cosh x) 1) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x)) #s(literal 3 binary64)) (fma.f64 #s(approx (- (cosh x) 1) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x)) (-.f64 #s(approx (- (cosh x) 1) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x)) (sinh.f64 x)) (pow.f64 (sinh.f64 x) #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (- (cosh x) 1) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x)) #s(literal 2 binary64)) (pow.f64 (sinh.f64 x) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(approx (- (cosh x) 1) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x)) (sinh.f64 x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) (pow.f64 #s(approx (- (cosh x) 1) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (sinh.f64 x) #s(approx (- (cosh x) 1) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (- (cosh x) 1) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(approx (- (cosh x) 1) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x)) (-.f64 #s(approx (- (cosh x) 1) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)) (sinh.f64 x)) (pow.f64 (sinh.f64 x) #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) (-.f64 (sinh.f64 x) #s(approx (- (cosh x) 1) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x)))) (.f64 (-.f64 (sinh.f64 x) #s(approx (- (cosh x) 1) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x))) (pow.f64 #s(approx (- (cosh x) 1) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x)) #s(literal 2 binary64)))) (.f64 (-.f64 (sinh.f64 x) #s(approx (- (cosh x) 1) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x))) (-.f64 (sinh.f64 x) #s(approx (- (cosh x) 1) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x)))))
(/.f64 (fma.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (fma.f64 #s(approx (- (cosh x) 1) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x)) (-.f64 #s(approx (- (cosh x) 1) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x)) (sinh.f64 x)) (pow.f64 (sinh.f64 x) #s(literal 2 binary64))) (.f64 (fma.f64 #s(approx (- (cosh x) 1) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x)) (-.f64 #s(approx (- (cosh x) 1) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x)) (sinh.f64 x)) (pow.f64 (sinh.f64 x) #s(literal 2 binary64))) (pow.f64 #s(approx (- (cosh x) 1) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x)) #s(literal 3 binary64)))) (.f64 (fma.f64 #s(approx (- (cosh x) 1) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x)) (-.f64 #s(approx (- (cosh x) 1) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x)) (sinh.f64 x)) (pow.f64 (sinh.f64 x) #s(literal 2 binary64))) (fma.f64 #s(approx (- (cosh x) 1) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x)) (-.f64 #s(approx (- (cosh x) 1) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)) (sinh.f64 x)) (pow.f64 (sinh.f64 x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 #s(approx (- (cosh x) 1) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x)) #s(literal 2 binary64)) (pow.f64 (sinh.f64 x) #s(literal 2 binary64))) (-.f64 #s(approx (- (cosh x) 1) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x)) (sinh.f64 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) (pow.f64 #s(approx (- (cosh x) 1) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (sinh.f64 x) #s(approx (- (cosh x) 1) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (- (cosh x) 1) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 #s(approx (- (cosh x) 1) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) (.f64 #s(approx (- (cosh x) 1) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x)) (sinh.f64 x))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (- (cosh x) 1) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(approx (- (cosh x) 1) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x)) (-.f64 #s(approx (- (cosh x) 1) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)) (sinh.f64 x)) (pow.f64 (sinh.f64 x) #s(literal 2 binary64)))))
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(+.f64 (/.f64 (.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64)) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) x) (.f64 x #s(literal 1/24 binary64))))) (/.f64 #s(literal 1/13824 binary64) (-.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64)) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) x) (.f64 x #s(literal 1/24 binary64))))))
(+.f64 (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) x) x) #s(literal 1/24 binary64))
(+.f64 #s(literal 1/24 binary64) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) x) x))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)
(.f64 #s(literal 1 binary64) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
(.f64 x (.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))))
(.f64 x (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) x) x) x) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) x) x) x) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) x) x) x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) x) x) x) (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 x (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) x) x)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64))) (fma.f64 (.f64 x (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) x) x)) (.f64 x (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) x) x)) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 (.f64 x (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) x) x) x) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (-.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) x) x) x) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) x) x) x)) (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) x) x) x)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (.f64 x (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) x) x)) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (-.f64 (.f64 (.f64 x (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) x) x)) (.f64 x (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) x) x))) (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) x) x))))))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64)) x)) (neg.f64 (-.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) x) x) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64)) x)) (neg.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) x) (.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (neg.f64 (.f64 x (-.f64 (.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64)))) (neg.f64 (-.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) x) x) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (.f64 x (fma.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) x) (.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64)) x) (-.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) x) x) #s(literal 1/2 binary64)))
(/.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64)) x) (-.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) x) (.f64 #s(literal 1/2 binary64) x))))
(/.f64 (.f64 x (-.f64 (.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64))) (-.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) x) x) #s(literal 1/2 binary64)))
(/.f64 (.f64 x (fma.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64))) (-.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) x) (.f64 #s(literal 1/2 binary64) x))))
(fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) x) x) x (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) x) x) x))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (.f64 x (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) x) x)))
(fma.f64 #s(literal 1/2 binary64) x (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x) x) x))
(fma.f64 #s(literal 1/2 binary64) x (.f64 x (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x) x)))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) x) x) x))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x) (.f64 x (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) x) x)))
(fma.f64 x (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) x) x) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 x #s(literal 1/2 binary64) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x) x) x))
(fma.f64 x #s(literal 1/2 binary64) (.f64 x (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x) x)))
(+.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) x) x) x) (.f64 #s(literal 1/2 binary64) x))
(+.f64 (.f64 x (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) x) x)) (.f64 #s(literal 1/2 binary64) x))
(+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) x) x) x))
(+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) x) x)))

eval70.0ms (1.4%)

Memory: 12.5MiB live, 110.9MiB allocated; 9ms collecting garbage
Compiler: Compiled 15 546 to 1 864 computations (88% saved)

prune13.0ms (0.3%)

Memory

-14.9MiB live, 31.7MiB allocated; 2ms collecting garbage

Pruning

10 alts after pruning (3 fresh and 7 done)

	Pruned	Kept	Total
New	434	2	436
Fresh	0	1	1
Picked	1	4	5
Done	1	3	4
Total	436	10	446

Accuracy

100.0%

Counts

446 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	8.8%	(-.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64))
✓	8.2%	(-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
✓	5.4%	(-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	99.9%	(+.f64 (sinh.f64 x) #s(approx (- (cosh x) 1) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)))
✓	100.0%	(expm1.f64 x)
▶	99.3%	#s(approx (- (exp x) 1) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x x))
▶	98.9%	#s(approx (- (exp x) 1) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x))
▶	99.4%	#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
✓	99.3%	#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
✓	5.8%	#s(approx (- (exp x) 1) (.f64 #s(approx (+ ( 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)) x))

Compiler

Compiled 131 to 94 computations (28.2% saved)

simplify200.0ms (4%)

Memory

-1.9MiB live, 274.8MiB allocated; 71ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
cost-diff	0	(*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x)
cost-diff	0	(fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x x)
cost-diff	0	#s(approx (- (exp x) 1) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x x))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x)
cost-diff	0	#s(approx (- (exp x) 1) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x))
cost-diff	0	(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))
cost-diff	0	(fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
cost-diff	0	(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
cost-diff	0	#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	113
0	34	113
1	62	113
2	171	113
3	530	113
4	1520	113
5	4781	113
0	8512	107

Stop Event

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

Calls

Call 1

Inputs
#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))
#s(literal 1/24 binary64)
x
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (- (exp x) 1) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x)
(*.f64 x x)
x
#s(literal 1/2 binary64)
#s(approx (- (exp x) 1) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x x))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x x)
(*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x)
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
x
#s(literal 1/2 binary64)

Outputs
#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))
#s(literal 1/24 binary64)
x
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (- (exp x) 1) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x)
(*.f64 x x)
x
#s(literal 1/2 binary64)
#s(approx (- (exp x) 1) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x x))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x x)
(*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x)
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
x
#s(literal 1/2 binary64)

localize205.0ms (4.1%)

Memory

43.5MiB live, 210.6MiB allocated; 136ms collecting garbage

Localize:

Found 11 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x x)
accuracy	0.0	(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
accuracy	0.0234375	(*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x)
accuracy	0.2968172457793355	#s(approx (- (exp x) 1) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x x))
accuracy	0.0	(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x)
accuracy	0.0	(*.f64 x x)
accuracy	0.5187960986815456	#s(approx (- (exp x) 1) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x))
accuracy	0.0	(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))
accuracy	0.0078125	(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))
accuracy	0.0078125	(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
accuracy	0.2044419651438522	#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))

Samples

145.0ms	255×	0	valid
1.0ms	1×	5	exit

Compiler

Compiled 99 to 23 computations (76.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 97.0ms

ival-add: 75.0ms (77.4% of total)

ival-mult: 13.0ms (13.4% of total)

const: 6.0ms (6.2% of total)

ival-expm1: 2.0ms (2.1% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory

5.9MiB live, 5.9MiB allocated; 0ms collecting garbage

Counts

12 → 43

Calls

Call 1

Inputs
#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))
#s(approx (- (exp x) 1) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x)
(*.f64 x x)
#s(approx (- (exp x) 1) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x x))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x x)
(*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x)
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))

Outputs
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
1/2
(+ 1/2 (* 1/6 x))
(+ 1/2 (* x (+ 1/6 (* 1/24 x))))
(pow x 2)
(* 1/2 x)
(* x (+ 1/2 (* 1/6 x)))
1/6
(+ 1/6 (* 1/24 x))
(- (exp x) 1)
(* 1/24 (pow x 4))
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))
(* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(* 1/6 x)
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(* 1/24 x)
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6)))

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

-inf

((- (exp x) 1) (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (- (exp x) 1) (+ (* (* x x) 1/2) x) (* x x) (- (exp x) 1) (+ (* (* (+ (* 1/6 x) 1/2) x) x) x) (* (+ (* 1/6 x) 1/2) x) (+ (* 1/6 x) 1/2) (+ (* 1/24 x) 1/6))

1.0ms

inf

((- (exp x) 1) (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (- (exp x) 1) (+ (* (* x x) 1/2) x) (* x x) (- (exp x) 1) (+ (* (* (+ (* 1/6 x) 1/2) x) x) x) (* (+ (* 1/6 x) 1/2) x) (+ (* 1/6 x) 1/2) (+ (* 1/24 x) 1/6))

1.0ms

((- (exp x) 1) (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (- (exp x) 1) (+ (* (* x x) 1/2) x) (* x x) (- (exp x) 1) (+ (* (* (+ (* 1/6 x) 1/2) x) x) x) (* (+ (* 1/6 x) 1/2) x) (+ (* 1/6 x) 1/2) (+ (* 1/24 x) 1/6))

simplify111.0ms (2.2%)

Memory

19.2MiB live, 111.9MiB allocated; 17ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	84	352
1	323	338
2	1055	331
3	4206	331
0	8120	296

Stop Event

1×	iter limit
1×	node limit

Counts

43 → 42

Calls

Call 1

Inputs
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
1/2
(+ 1/2 (* 1/6 x))
(+ 1/2 (* x (+ 1/6 (* 1/24 x))))
(pow x 2)
(* 1/2 x)
(* x (+ 1/2 (* 1/6 x)))
1/6
(+ 1/6 (* 1/24 x))
(- (exp x) 1)
(* 1/24 (pow x 4))
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))
(* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(* 1/6 x)
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(* 1/24 x)
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6)))

Outputs
x
(* x (+ 1 (* 1/2 x)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 x))
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
(+ 1/2 (* x (+ 1/6 (* 1/24 x))))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))
(pow x 2)
(*.f64 x x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 1/6 x)))
(*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x)
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* 1/24 x))
(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))
(- (exp x) 1)
(expm1.f64 x)
(* 1/24 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64))
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))
(*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(*.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(*.f64 (+.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x) #s(literal 1/6 binary64)) x) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* 1/24 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x)
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x)
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(* 1/24 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/24 binary64))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x)
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))
(* 1/2 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(* 1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))
(.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (.f64 x x))
(* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
(* 1/24 x)
(*.f64 #s(literal 1/24 binary64) x)
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))
(* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))))
(*.f64 (+.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x) #s(literal 1/6 binary64)) x) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) #s(literal 1/24 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)) x) #s(literal 1/24 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/6 binary64)))

rewrite173.0ms (3.4%)

Memory

-15.4MiB live, 168.0MiB allocated; 30ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	103
0	34	103
1	147	103
2	1080	103
0	8319	97

Stop Event

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

Counts

12 → 315

Calls

Call 1

Inputs
#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))
#s(approx (- (exp x) 1) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x)
(*.f64 x x)
#s(approx (- (exp x) 1) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x x))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x x)
(*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x)
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))

Outputs
#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
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(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))
(+.f64 (/.f64 (.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/36 binary64) (.f64 x x) (.f64 (neg.f64 x) #s(literal 1/12 binary64))))) (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/36 binary64) (.f64 x x) (*.f64 (neg.f64 x) #s(literal 1/12 binary64))))))
(+.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/36 binary64) (.f64 x x) (.f64 (neg.f64 x) #s(literal 1/12 binary64))))) (/.f64 (.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/36 binary64) (.f64 x x) (*.f64 (neg.f64 x) #s(literal 1/12 binary64))))))
(+.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/36 binary64) (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 x #s(literal 1/12 binary64))))) (/.f64 (.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/36 binary64) (.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/12 binary64))))))
(+.f64 (/.f64 (.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/36 binary64) (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 x #s(literal 1/12 binary64))))) (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/36 binary64) (.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/12 binary64))))))
(+.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (neg.f64 x)) #s(literal 1/6 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 #s(literal 1/576 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))) (/.f64 (.f64 #s(literal 1/576 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64)))) (.f64 (/.f64 #s(literal 1/36 binary64) (-.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (-.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))))) (+.f64 (/.f64 (.f64 #s(literal 1/576 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (-.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64)))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 #s(literal 1/13824 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/576 binary64) (.f64 x x) (-.f64 #s(literal 1/36 binary64) (.f64 x #s(literal 1/144 binary64))))) (/.f64 (.f64 #s(literal 1/13824 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/576 binary64) (.f64 x x) (-.f64 #s(literal 1/36 binary64) (.f64 x #s(literal 1/144 binary64)))))) (.f64 (/.f64 #s(literal 1/216 binary64) (fma.f64 #s(literal 1/576 binary64) (.f64 x x) (-.f64 #s(literal 1/36 binary64) (.f64 x #s(literal 1/144 binary64))))) (/.f64 #s(literal 1/216 binary64) (fma.f64 #s(literal 1/576 binary64) (.f64 x x) (-.f64 #s(literal 1/36 binary64) (.f64 x #s(literal 1/144 binary64))))))) (-.f64 (/.f64 (.f64 #s(literal 1/13824 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/576 binary64) (.f64 x x) (-.f64 #s(literal 1/36 binary64) (.f64 x #s(literal 1/144 binary64))))) (/.f64 #s(literal 1/216 binary64) (fma.f64 #s(literal 1/576 binary64) (.f64 x x) (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal 1/576 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/36 binary64) (-.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 1/576 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))) (/.f64 (.f64 #s(literal 1/576 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))) (fma.f64 (/.f64 #s(literal 1/36 binary64) (-.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (-.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))) (.f64 (/.f64 (.f64 #s(literal 1/576 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64)))))))
(/.f64 (-.f64 #s(literal 1/216 binary64) (pow.f64 (.f64 #s(literal -1/24 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal 1/576 binary64) (.f64 x x) (.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/24 binary64) x)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (.f64 #s(literal 1/13824 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/576 binary64) (.f64 x x) (-.f64 #s(literal 1/36 binary64) (.f64 x #s(literal 1/144 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/216 binary64) (fma.f64 #s(literal 1/576 binary64) (.f64 x x) (-.f64 #s(literal 1/36 binary64) (.f64 x #s(literal 1/144 binary64))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 1/13824 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/576 binary64) (.f64 x x) (-.f64 #s(literal 1/36 binary64) (.f64 x #s(literal 1/144 binary64))))) (/.f64 (.f64 #s(literal 1/13824 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/576 binary64) (.f64 x x) (-.f64 #s(literal 1/36 binary64) (.f64 x #s(literal 1/144 binary64))))) (-.f64 (.f64 (/.f64 #s(literal 1/216 binary64) (fma.f64 #s(literal 1/576 binary64) (.f64 x x) (-.f64 #s(literal 1/36 binary64) (.f64 x #s(literal 1/144 binary64))))) (/.f64 #s(literal 1/216 binary64) (fma.f64 #s(literal 1/576 binary64) (.f64 x x) (-.f64 #s(literal 1/36 binary64) (.f64 x #s(literal 1/144 binary64)))))) (.f64 (/.f64 (.f64 #s(literal 1/13824 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/576 binary64) (.f64 x x) (-.f64 #s(literal 1/36 binary64) (.f64 x #s(literal 1/144 binary64))))) (/.f64 #s(literal 1/216 binary64) (fma.f64 #s(literal 1/576 binary64) (.f64 x x) (-.f64 #s(literal 1/36 binary64) (.f64 x #s(literal 1/144 binary64)))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/36 binary64) (.f64 #s(literal 1/576 binary64) (.f64 x x)))) (neg.f64 (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/576 binary64) (.f64 x x)) #s(literal 1/36 binary64)))) (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/13824 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 x x) (-.f64 #s(literal 1/36 binary64) (.f64 x #s(literal 1/144 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/576 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))) (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64)) #s(literal 1/36 binary64))) (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))))
(/.f64 (fma.f64 (.f64 #s(literal 1/13824 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/576 binary64) (.f64 x x) (-.f64 #s(literal 1/36 binary64) (.f64 x #s(literal 1/144 binary64)))) (.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 x x) (-.f64 #s(literal 1/36 binary64) (.f64 x #s(literal 1/144 binary64)))) #s(literal 1/216 binary64))) (.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 x x) (-.f64 #s(literal 1/36 binary64) (.f64 x #s(literal 1/144 binary64)))) (fma.f64 #s(literal 1/576 binary64) (.f64 x x) (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64))))))
(/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 #s(literal 1/576 binary64) (.f64 x x))) (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) x)))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/576 binary64) (.f64 x x)) #s(literal 1/36 binary64))) (neg.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/13824 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 binary64))) (neg.f64 (+.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal 1/576 binary64) (.f64 x x) (.f64 (neg.f64 x) #s(literal 1/144 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/13824 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 binary64))) (neg.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 x x) (-.f64 #s(literal 1/36 binary64) (.f64 x #s(literal 1/144 binary64))))))
(/.f64 (-.f64 (.f64 #s(literal 1/576 binary64) (.f64 x x)) #s(literal 1/36 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64)))
(/.f64 (fma.f64 #s(literal 1/13824 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal 1/576 binary64) (.f64 x x) (.f64 (neg.f64 x) #s(literal 1/144 binary64)))))
(/.f64 (fma.f64 #s(literal 1/13824 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 binary64)) (fma.f64 #s(literal 1/576 binary64) (.f64 x x) (-.f64 #s(literal 1/36 binary64) (.f64 x #s(literal 1/144 binary64)))))
(neg.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal -1/6 binary64)))
(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(-.f64 (/.f64 #s(literal 1/36 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) x))) (/.f64 (.f64 #s(literal 1/576 binary64) (.f64 x x)) (-.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) x))))
(-.f64 (/.f64 (.f64 #s(literal 1/576 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (-.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))))
(-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/24 binary64) x))
(+.f64 (/.f64 #s(literal 1/216 binary64) (+.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal 1/576 binary64) (.f64 x x) (.f64 (neg.f64 x) #s(literal 1/144 binary64))))) (/.f64 (.f64 #s(literal 1/13824 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal 1/576 binary64) (.f64 x x) (*.f64 (neg.f64 x) #s(literal 1/144 binary64))))))
(+.f64 (/.f64 (.f64 #s(literal 1/13824 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal 1/576 binary64) (.f64 x x) (.f64 (neg.f64 x) #s(literal 1/144 binary64))))) (/.f64 #s(literal 1/216 binary64) (+.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal 1/576 binary64) (.f64 x x) (*.f64 (neg.f64 x) #s(literal 1/144 binary64))))))
(+.f64 (/.f64 #s(literal 1/216 binary64) (fma.f64 #s(literal 1/576 binary64) (.f64 x x) (-.f64 #s(literal 1/36 binary64) (.f64 x #s(literal 1/144 binary64))))) (/.f64 (.f64 #s(literal 1/13824 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/576 binary64) (.f64 x x) (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64))))))
(+.f64 (/.f64 (.f64 #s(literal 1/13824 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/576 binary64) (.f64 x x) (-.f64 #s(literal 1/36 binary64) (.f64 x #s(literal 1/144 binary64))))) (/.f64 #s(literal 1/216 binary64) (fma.f64 #s(literal 1/576 binary64) (.f64 x x) (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64))))))
(+.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))
(+.f64 #s(literal 1/6 binary64) (*.f64 (neg.f64 (neg.f64 x)) #s(literal 1/24 binary64)))
(+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) x))

eval49.0ms (1%)

Memory: 23.5MiB live, 68.4MiB allocated; 4ms collecting garbage
Compiler: Compiled 12 827 to 1 623 computations (87.3% saved)

prune27.0ms (0.5%)

Memory

-21.5MiB live, 32.6MiB allocated; 6ms collecting garbage

Pruning

11 alts after pruning (2 fresh and 9 done)

	Pruned	Kept	Total
New	349	2	351
Fresh	0	0	0
Picked	0	3	3
Done	1	6	7
Total	350	11	361

Accuracy

100.0%

Counts

361 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	8.8%	(-.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64))
✓	8.2%	(-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
✓	5.4%	(-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	99.9%	(+.f64 (sinh.f64 x) #s(approx (- (cosh x) 1) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)))
✓	100.0%	(expm1.f64 x)
	99.4%	#s(approx (- (exp x) 1) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x (.f64 #s(literal 1 binary64) x)))
✓	99.3%	#s(approx (- (exp x) 1) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x x))
✓	98.9%	#s(approx (- (exp x) 1) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x))
✓	99.4%	#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
✓	99.3%	#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
	97.5%	#s(approx (- (exp x) 1) (.f64 #s(approx (+ ( (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(literal 1 binary64)) x))

Compiler

Compiled 363 to 189 computations (47.9% saved)

regimes12.0ms (0.2%)

Memory

16.0MiB live, 16.0MiB allocated; 0ms collecting garbage

Counts

16 → 1

Calls

Call 1

Inputs
(-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (- (exp x) 1) (.f64 #s(approx (+ ( (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(literal 1 binary64)) x))
(-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
#s(approx (- (exp x) 1) (.f64 #s(approx (+ ( 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)) x))
#s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (- (exp x) 1) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x))
#s(approx (- (exp x) 1) (fma.f64 (.f64 #s(literal 1/2 binary64) x) x (.f64 #s(literal 1 binary64) x)))
#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (- (exp x) 1) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x x))
(-.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (- (exp x) 1) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x (.f64 #s(literal 1 binary64) x)))
(expm1.f64 x)
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(+.f64 (sinh.f64 x) #s(approx (- (cosh x) 1) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)))
(+.f64 (sinh.f64 x) (-.f64 (cosh.f64 x) #s(literal 1 binary64)))

Outputs
(expm1.f64 x)

Calls

3 calls:

4.0ms	x
3.0ms	(-.f64 (exp.f64 x) #s(literal 1 binary64))
3.0ms	(exp.f64 x)

Results

Accuracy	Segments	Branch
100.0%	1	`(exp.f64 x)`
100.0%	1	`(-.f64 (exp.f64 x) #s(literal 1 binary64))`
100.0%	1	`x`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes13.0ms (0.3%)

Memory

-32.5MiB live, 13.4MiB allocated; 3ms collecting garbage

Counts

12 → 1

Calls

Call 1

Inputs
(-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (- (exp x) 1) (.f64 #s(approx (+ ( (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(literal 1 binary64)) x))
(-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
#s(approx (- (exp x) 1) (.f64 #s(approx (+ ( 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)) x))
#s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (- (exp x) 1) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x))
#s(approx (- (exp x) 1) (fma.f64 (.f64 #s(literal 1/2 binary64) x) x (.f64 #s(literal 1 binary64) x)))
#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (- (exp x) 1) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x x))
(-.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (- (exp x) 1) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x (.f64 #s(literal 1 binary64) x)))

Outputs
#s(approx (- (exp x) 1) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x (.f64 #s(literal 1 binary64) x)))

Calls

3 calls:

6.0ms	(exp.f64 x)
3.0ms	x
3.0ms	(-.f64 (exp.f64 x) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
99.4%	1	`(exp.f64 x)`
99.4%	1	`(-.f64 (exp.f64 x) #s(literal 1 binary64))`
99.4%	1	`x`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes9.0ms (0.2%)

Memory

12.9MiB live, 12.9MiB allocated; 0ms collecting garbage

Counts

11 → 1

Calls

Call 1

Inputs
(-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (- (exp x) 1) (.f64 #s(approx (+ ( (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(literal 1 binary64)) x))
(-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
#s(approx (- (exp x) 1) (.f64 #s(approx (+ ( 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)) x))
#s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (- (exp x) 1) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x))
#s(approx (- (exp x) 1) (fma.f64 (.f64 #s(literal 1/2 binary64) x) x (.f64 #s(literal 1 binary64) x)))
#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (- (exp x) 1) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x x))
(-.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))

Outputs
#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))

Calls

3 calls:

3.0ms	x
3.0ms	(-.f64 (exp.f64 x) #s(literal 1 binary64))
2.0ms	(exp.f64 x)

Results

Accuracy	Segments	Branch
99.4%	1	`(exp.f64 x)`
99.4%	1	`(-.f64 (exp.f64 x) #s(literal 1 binary64))`
99.4%	1	`x`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes8.0ms (0.2%)

Memory

12.2MiB live, 12.2MiB allocated; 0ms collecting garbage

Counts

10 → 1

Calls

Call 1

Inputs
(-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (- (exp x) 1) (.f64 #s(approx (+ ( (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(literal 1 binary64)) x))
(-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
#s(approx (- (exp x) 1) (.f64 #s(approx (+ ( 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)) x))
#s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (- (exp x) 1) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x))
#s(approx (- (exp x) 1) (fma.f64 (.f64 #s(literal 1/2 binary64) x) x (.f64 #s(literal 1 binary64) x)))
#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (- (exp x) 1) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x x))
(-.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64))

Outputs
#s(approx (- (exp x) 1) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x x))

Calls

3 calls:

3.0ms	x
2.0ms	(-.f64 (exp.f64 x) #s(literal 1 binary64))
2.0ms	(exp.f64 x)

Results

Accuracy	Segments	Branch
99.3%	1	`(exp.f64 x)`
99.3%	1	`(-.f64 (exp.f64 x) #s(literal 1 binary64))`
99.3%	1	`x`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes7.0ms (0.1%)

Memory

10.3MiB live, 10.3MiB allocated; 0ms collecting garbage

Counts

8 → 1

Calls

Call 1

Inputs
(-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (- (exp x) 1) (.f64 #s(approx (+ ( (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(literal 1 binary64)) x))
(-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
#s(approx (- (exp x) 1) (.f64 #s(approx (+ ( 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)) x))
#s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (- (exp x) 1) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x))
#s(approx (- (exp x) 1) (fma.f64 (.f64 #s(literal 1/2 binary64) x) x (.f64 #s(literal 1 binary64) x)))
#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))

Outputs
#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))

Calls

3 calls:

3.0ms	x
2.0ms	(-.f64 (exp.f64 x) #s(literal 1 binary64))
2.0ms	(exp.f64 x)

Results

Accuracy	Segments	Branch
99.3%	1	`(exp.f64 x)`
99.3%	1	`(-.f64 (exp.f64 x) #s(literal 1 binary64))`
99.3%	1	`x`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes8.0ms (0.2%)

Memory

-36.3MiB live, 10.0MiB allocated; 3ms collecting garbage

Counts

7 → 1

Calls

Call 1

Inputs
(-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (- (exp x) 1) (.f64 #s(approx (+ ( (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(literal 1 binary64)) x))
(-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
#s(approx (- (exp x) 1) (.f64 #s(approx (+ ( 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)) x))
#s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (- (exp x) 1) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x))
#s(approx (- (exp x) 1) (fma.f64 (.f64 #s(literal 1/2 binary64) x) x (.f64 #s(literal 1 binary64) x)))

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

Calls

3 calls:

3.0ms	(exp.f64 x)
2.0ms	x
2.0ms	(-.f64 (exp.f64 x) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
98.9%	1	`(exp.f64 x)`
98.9%	1	`(-.f64 (exp.f64 x) #s(literal 1 binary64))`
98.9%	1	`x`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes5.0ms (0.1%)

Memory

8.3MiB live, 8.3MiB allocated; 0ms collecting garbage

Counts

5 → 1

Calls

Call 1

Inputs
(-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (- (exp x) 1) (.f64 #s(approx (+ ( (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(literal 1 binary64)) x))
(-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
#s(approx (- (exp x) 1) (.f64 #s(approx (+ ( 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)) x))
#s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))

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

Calls

3 calls:

2.0ms	x
1.0ms	(-.f64 (exp.f64 x) #s(literal 1 binary64))
1.0ms	(exp.f64 x)

Results

Accuracy	Segments	Branch
98.9%	1	`(exp.f64 x)`
98.9%	1	`(-.f64 (exp.f64 x) #s(literal 1 binary64))`
98.9%	1	`x`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes5.0ms (0.1%)

Memory

7.6MiB live, 7.6MiB allocated; 0ms collecting garbage

Counts

4 → 1

Calls

Call 1

Inputs
(-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (- (exp x) 1) (.f64 #s(approx (+ ( (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(literal 1 binary64)) x))
(-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
#s(approx (- (exp x) 1) (.f64 #s(approx (+ ( 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)) x))

Outputs
#s(approx (- (exp x) 1) (.f64 #s(approx (+ ( (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(literal 1 binary64)) x))

Calls

3 calls:

2.0ms	x
1.0ms	(-.f64 (exp.f64 x) #s(literal 1 binary64))
1.0ms	(exp.f64 x)

Results

Accuracy	Segments	Branch
97.5%	1	`(exp.f64 x)`
97.5%	1	`(-.f64 (exp.f64 x) #s(literal 1 binary64))`
97.5%	1	`x`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes3.0ms (0.1%)

Memory

5.6MiB live, 5.6MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64))

Outputs
(-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64))

Calls

3 calls:

1.0ms	x
1.0ms	(-.f64 (exp.f64 x) #s(literal 1 binary64))
1.0ms	(exp.f64 x)

Results

Accuracy	Segments	Branch
5.4%	1	`(exp.f64 x)`
5.4%	1	`(-.f64 (exp.f64 x) #s(literal 1 binary64))`
5.4%	1	`x`

Compiler

Compiled 7 to 7 computations (0% saved)

simplify50.0ms (1%)

Memory

-5.8MiB live, 40.2MiB allocated; 3ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	114
1	55	114
2	100	114
3	262	114
4	811	114
5	2692	114
6	7597	114

Stop Event

1×	node limit

Calls

Call 1

Inputs
(expm1.f64 x)
#s(approx (- (exp x) 1) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x (.f64 #s(literal 1 binary64) x)))
#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (- (exp x) 1) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x x))
#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (- (exp x) 1) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x))
#s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (- (exp x) 1) (.f64 #s(approx (+ ( (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(literal 1 binary64)) x))
(-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64))

Outputs
(expm1.f64 x)
#s(approx (- (exp x) 1) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x (.f64 #s(literal 1 binary64) x)))
#s(approx (- (exp x) 1) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x x))
#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (- (exp x) 1) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x x))
#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (- (exp x) 1) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x))
#s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (- (exp x) 1) (.f64 #s(approx (+ ( (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(literal 1 binary64)) x))
(-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64))

derivations1.2s (22.9%)

Memory

12.7MiB live, 520.1MiB allocated; 134ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	6
0	6	6
1	25	6
2	152	6
3	1559	6
0	8950	4
0	84	352
1	323	338
2	1055	331
3	4206	331
0	8120	296
0	21	95
0	36	90
1	159	90
2	1285	90
0	8446	90
0	19	103
0	34	103
1	147	103
2	1080	103
0	8319	97
0	25	66
1	100	66
2	323	66
3	1033	66
4	2579	66
5	5281	66
0	8149	53
0	36	218
0	59	212
1	254	212
2	1842	212
0	9109	203

Stop Event

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

Compiler

Compiled 114 to 44 computations (61.4% saved)

preprocess71.0ms (1.4%)

Memory: 20.3MiB live, 65.6MiB allocated; 4ms collecting garbage
Compiler: Compiled 240 to 100 computations (58.3% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample558.0ms (11.1%)

explain52.0ms (1%)

preprocess122.0ms (2.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify106.0ms (2.1%)

localize13.0ms (0.3%)

series1.0ms (0%)

simplify149.0ms (3%)

rewrite209.0ms (4.2%)

eval57.0ms (1.1%)

prune9.0ms (0.2%)

simplify158.0ms (3.1%)

localize141.0ms (2.8%)

series9.0ms (0.2%)

simplify175.0ms (3.5%)

rewrite274.0ms (5.4%)

eval61.0ms (1.2%)

prune52.0ms (1%)

simplify109.0ms (2.2%)

localize255.0ms (5.1%)

series8.0ms (0.2%)

simplify124.0ms (2.5%)

rewrite191.0ms (3.8%)

eval70.0ms (1.4%)

prune13.0ms (0.3%)

simplify200.0ms (4%)

localize205.0ms (4.1%)

series5.0ms (0.1%)

simplify111.0ms (2.2%)

rewrite173.0ms (3.4%)

eval49.0ms (1%)

prune27.0ms (0.5%)

regimes12.0ms (0.2%)

regimes13.0ms (0.3%)

regimes9.0ms (0.2%)

regimes8.0ms (0.2%)

regimes7.0ms (0.1%)

regimes8.0ms (0.2%)

regimes5.0ms (0.1%)

regimes5.0ms (0.1%)

regimes3.0ms (0.1%)

simplify50.0ms (1%)

derivations1.2s (22.9%)

preprocess71.0ms (1.4%)

end0.0ms (0%)

Profiling