Metrics for Kahan's exp quotient

start0.0ms (0%)

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

analyze1.0ms (0.1%)

Memory

2.5MiB live, 2.5MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
50%	50%	50%	0%	0%	0%	0%	2
75%	75%	25%	0%	0%	0%	0%	3
87.5%	87.5%	12.5%	0%	0%	0%	0%	4
93.8%	93.7%	6.2%	0%	0%	0%	0%	5
96.9%	96.8%	3.1%	0%	0%	0%	0%	6
98.4%	98.4%	1.6%	0%	0%	0%	0%	7
99.2%	99.2%	0.8%	0%	0%	0%	0%	8
99.6%	99.6%	0.4%	0%	0%	0%	0%	9
99.8%	99.8%	0.2%	0%	0%	0%	0%	10
99.9%	99.9%	0.1%	0%	0%	0%	0%	11
100%	99.9%	0%	0%	0%	0%	0%	12

Compiler

Compiled 8 to 5 computations (37.5% saved)

sample445.0ms (44.9%)

Memory

0.9MiB live, 852.9MiB allocated; 64ms collecting garbage

Samples

277.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 119.0ms

ival-expm1: 64.0ms (53.8% of total)

ival-div!: 53.0ms (44.5% of total)

adjust: 2.0ms (1.7% of total)

Bogosity

explain62.0ms (6.3%)

Memory

32.9MiB live, 133.2MiB allocated; 4ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
129	-	-	`(-.f64 (exp.f64 x) #s(literal 1 binary64))`
0	-	-	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`
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	129	0

Confusion

	Predicted +	Predicted -
+	129	0
-	0	127

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	129	0	0
-	0	0	127

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	127
1	129

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

23.0ms

512×

valid

Compiler

Compiled 38 to 19 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-exp: 6.0ms (48.5% of total)

ival-expm1: 4.0ms (32.4% of total)

ival-div!: 3.0ms (24.3% of total)

adjust: 0.0ms (0% of total)

preprocess46.0ms (4.6%)

Memory

-40.6MiB live, 53.7MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	40	20
2	133	20
3	495	20
4	2125	20
5	7029	20

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.7%	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)

Compiler

Compiled 12 to 10 computations (16.7% saved)

rewrite76.0ms (7.6%)

Memory

30.6MiB live, 90.3MiB allocated; 37ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	14
0	8	14
1	38	14
0	276	10

Stop Event

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

Counts

5 → 41

Calls

Call 1

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

Outputs
(/.f64 (-.f64 (.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x)) (.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))) (+.f64 (/.f64 (exp.f64 x) x) (pow.f64 x #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 x) x) #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x) (fma.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)) (*.f64 (/.f64 (exp.f64 x) x) (pow.f64 x #s(literal -1 binary64))))))
(/.f64 (-.f64 (.f64 (exp.f64 x) x) (.f64 x #s(literal 1 binary64))) (*.f64 x x))
(/.f64 (expm1.f64 (+.f64 x x)) (*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) x))
(/.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) (.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) x))
(/.f64 (neg.f64 (expm1.f64 x)) (neg.f64 x))
(/.f64 (expm1.f64 x) (neg.f64 (neg.f64 x)))
(/.f64 (expm1.f64 x) x)
(neg.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (exp.f64 x) x)))
(neg.f64 (/.f64 (neg.f64 (expm1.f64 x)) x))
(neg.f64 (/.f64 (expm1.f64 x) (neg.f64 x)))
(-.f64 (/.f64 (exp.f64 x) x) (pow.f64 x #s(literal -1 binary64)))
(+.f64 (/.f64 (exp.f64 x) x) (neg.f64 (pow.f64 x #s(literal -1 binary64))))
(+.f64 (/.f64 (exp.f64 x) x) (/.f64 #s(literal -1 binary64) x))
(/.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (neg.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))))
(/.f64 (expm1.f64 (+.f64 x x)) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(/.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 #s(literal 1 binary64) (.f64 (exp.f64 x) #s(literal -1 binary64)))))
(/.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(neg.f64 (neg.f64 (expm1.f64 x)))
(fma.f64 #s(literal 1 binary64) (exp.f64 x) #s(literal -1 binary64))
(fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64))
(expm1.f64 (+.f64 x #s(literal 0 binary64)))
(expm1.f64 x)
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (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 (exp.f64 x) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))))
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(+.f64 #s(literal -1 binary64) (exp.f64 x))
(+.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))
(+.f64 (cosh.f64 x) (+.f64 (sinh.f64 x) #s(literal -1 binary64)))
(+.f64 (exp.f64 x) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 x))
(*.f64 (exp.f64 x) #s(literal 1 binary64))
(/.f64 (-.f64 (.f64 (cosh.f64 x) (cosh.f64 x)) (.f64 (sinh.f64 x) (sinh.f64 x))) (-.f64 (cosh.f64 x) (sinh.f64 x)))
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (.f64 (sinh.f64 x) (sinh.f64 x)) (.f64 (cosh.f64 x) (sinh.f64 x)))))
(exp.f64 (+.f64 x #s(literal 0 binary64)))
(exp.f64 x)
(+.f64 (sinh.f64 x) (cosh.f64 x))
(+.f64 (cosh.f64 x) (sinh.f64 x))
x
#s(literal 1 binary64)

eval8.0ms (0.8%)

Memory: -39.1MiB live, 10.7MiB allocated; 4ms collecting garbage
Compiler: Compiled 439 to 133 computations (69.7% saved)

prune1.0ms (0.1%)

Memory

3.7MiB live, 3.7MiB allocated; 0ms collecting garbage

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	35	2	37
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	36	2	38

Accuracy

100.0%

Counts

38 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	74.6%	(/.f64 (expm1.f64 (+.f64 x x)) (*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) x))
▶	100.0%	(/.f64 (expm1.f64 x) x)

Compiler

Compiled 15 to 11 computations (26.7% saved)

rewrite69.0ms (7%)

Memory

20.1MiB live, 67.7MiB allocated; 1ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	38
0	20	31
1	95	31
0	765	31

Stop Event

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

Counts

10 → 168

Calls

Call 1

Inputs
(/.f64 (expm1.f64 x) x)
(expm1.f64 x)
x
(/.f64 (expm1.f64 (+.f64 x x)) (*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) x))
(expm1.f64 (+.f64 x x))
(+.f64 x x)
(*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) x)
(-.f64 (exp.f64 x) #s(literal -1 binary64))
(exp.f64 x)
#s(literal -1 binary64)

Outputs
(/.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(/.f64 (-.f64 (.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x)) (.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))) (+.f64 (/.f64 (exp.f64 x) x) (pow.f64 x #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (/.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (.f64 (pow.f64 (.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) x) #s(literal -1 binary64)) (pow.f64 (.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) x) #s(literal -1 binary64)))) (fma.f64 (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (/.f64 (exp.f64 x) x) (pow.f64 (*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) x) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 x) x) #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x) (fma.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)) (*.f64 (/.f64 (exp.f64 x) x) (pow.f64 x #s(literal -1 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) x) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (/.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (fma.f64 (pow.f64 (.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) x) #s(literal -1 binary64)) (pow.f64 (.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) x) #s(literal -1 binary64)) (.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (pow.f64 (*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) x) #s(literal -1 binary64))))))
(/.f64 (-.f64 (.f64 (exp.f64 x) x) (.f64 x #s(literal 1 binary64))) (*.f64 x x))
(/.f64 (-.f64 (.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) x)) (.f64 (.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) x) #s(literal 1 binary64))) (.f64 (.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) x) (*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) x)))
(/.f64 (neg.f64 (expm1.f64 x)) (neg.f64 x))
(/.f64 (neg.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x))) (.f64 (-.f64 #s(literal -1 binary64) (exp.f64 x)) x))
(/.f64 (expm1.f64 (.f64 (.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)) (.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) x)))
(/.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) (.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) x))
(/.f64 (expm1.f64 (.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))) (.f64 (fma.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) x)))
(/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) x))
(/.f64 (expm1.f64 x) (neg.f64 (neg.f64 x)))
(/.f64 (expm1.f64 x) x)
(neg.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (exp.f64 x) x)))
(neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) x) #s(literal -1 binary64)) (/.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))))
(neg.f64 (/.f64 (expm1.f64 x) (neg.f64 x)))
(neg.f64 (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (-.f64 #s(literal -1 binary64) (exp.f64 x)) x)))
(neg.f64 (/.f64 (neg.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x))) (.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) x)))
(neg.f64 (/.f64 (neg.f64 (expm1.f64 x)) x))
(fma.f64 (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (/.f64 (exp.f64 x) x) (neg.f64 (pow.f64 (*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) x) #s(literal -1 binary64))))
(fma.f64 (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (/.f64 (exp.f64 x) x) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) x)))
(fma.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (neg.f64 (pow.f64 (*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) x) #s(literal -1 binary64))))
(fma.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) x)))
(fma.f64 (exp.f64 x) (/.f64 (exp.f64 x) (.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) x)) (neg.f64 (pow.f64 (.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) x) #s(literal -1 binary64))))
(fma.f64 (exp.f64 x) (/.f64 (exp.f64 x) (.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) x)) (/.f64 #s(literal -1 binary64) (.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) x)))
(-.f64 (/.f64 (exp.f64 x) x) (pow.f64 x #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (pow.f64 (*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) x) #s(literal -1 binary64)))
(+.f64 (/.f64 (exp.f64 x) x) (neg.f64 (pow.f64 x #s(literal -1 binary64))))
(+.f64 (/.f64 (exp.f64 x) x) (/.f64 #s(literal -1 binary64) x))
(+.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (neg.f64 (pow.f64 (*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) x) #s(literal -1 binary64))))
(+.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) x)))
(.f64 (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal -1 binary64) (expm1.f64 x) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))
(.f64 (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (expm1.f64 x))
(/.f64 (neg.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (-.f64 #s(literal -1 binary64) (exp.f64 x)))
(/.f64 (expm1.f64 (.f64 (.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(/.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 x)))))
(/.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(/.f64 (expm1.f64 (.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))) (*.f64 (fma.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64))) (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(neg.f64 (neg.f64 (expm1.f64 x)))
(fma.f64 (neg.f64 (exp.f64 x)) #s(literal -1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (exp.f64 x) #s(literal -1 binary64))
(fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64))
(expm1.f64 (+.f64 x #s(literal 0 binary64)))
(expm1.f64 x)
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(+.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(+.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))
(+.f64 (cosh.f64 x) (+.f64 (sinh.f64 x) #s(literal -1 binary64)))
(+.f64 #s(literal -1 binary64) (exp.f64 x))
(+.f64 (exp.f64 x) #s(literal -1 binary64))
x
(/.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(/.f64 (-.f64 (.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x)) (.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))) (+.f64 (/.f64 (exp.f64 x) x) (pow.f64 x #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (/.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (.f64 (pow.f64 (.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) x) #s(literal -1 binary64)) (pow.f64 (.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) x) #s(literal -1 binary64)))) (fma.f64 (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (/.f64 (exp.f64 x) x) (pow.f64 (*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) x) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 x) x) #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x) (fma.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)) (*.f64 (/.f64 (exp.f64 x) x) (pow.f64 x #s(literal -1 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) x) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (/.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (fma.f64 (pow.f64 (.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) x) #s(literal -1 binary64)) (pow.f64 (.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) x) #s(literal -1 binary64)) (.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (pow.f64 (*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) x) #s(literal -1 binary64))))))
(/.f64 (-.f64 (.f64 (exp.f64 x) x) (.f64 x #s(literal 1 binary64))) (*.f64 x x))
(/.f64 (-.f64 (.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) x)) (.f64 (.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) x) #s(literal 1 binary64))) (.f64 (.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) x) (*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) x)))
(/.f64 (neg.f64 (expm1.f64 x)) (neg.f64 x))
(/.f64 (neg.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x))) (.f64 (-.f64 #s(literal -1 binary64) (exp.f64 x)) x))
(/.f64 (expm1.f64 (.f64 (.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)) (.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) x)))
(/.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) (.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) x))
(/.f64 (expm1.f64 (.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))) (.f64 (fma.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) x)))
(/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) x))
(/.f64 (expm1.f64 x) (neg.f64 (neg.f64 x)))
(/.f64 (expm1.f64 x) x)
(neg.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (exp.f64 x) x)))
(neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) x) #s(literal -1 binary64)) (/.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))))
(neg.f64 (/.f64 (expm1.f64 x) (neg.f64 x)))
(neg.f64 (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (-.f64 #s(literal -1 binary64) (exp.f64 x)) x)))
(neg.f64 (/.f64 (neg.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x))) (.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) x)))
(neg.f64 (/.f64 (neg.f64 (expm1.f64 x)) x))
(fma.f64 (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (/.f64 (exp.f64 x) x) (neg.f64 (pow.f64 (*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) x) #s(literal -1 binary64))))
(fma.f64 (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (/.f64 (exp.f64 x) x) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) x)))
(fma.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (neg.f64 (pow.f64 (*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) x) #s(literal -1 binary64))))
(fma.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) x)))
(fma.f64 (exp.f64 x) (/.f64 (exp.f64 x) (.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) x)) (neg.f64 (pow.f64 (.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) x) #s(literal -1 binary64))))
(fma.f64 (exp.f64 x) (/.f64 (exp.f64 x) (.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) x)) (/.f64 #s(literal -1 binary64) (.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) x)))
(-.f64 (/.f64 (exp.f64 x) x) (pow.f64 x #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (pow.f64 (*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) x) #s(literal -1 binary64)))
(+.f64 (/.f64 (exp.f64 x) x) (neg.f64 (pow.f64 x #s(literal -1 binary64))))
(+.f64 (/.f64 (exp.f64 x) x) (/.f64 #s(literal -1 binary64) x))
(+.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (neg.f64 (pow.f64 (*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) x) #s(literal -1 binary64))))
(+.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) x)))
(*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (expm1.f64 x))
(*.f64 (expm1.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(/.f64 (neg.f64 (expm1.f64 (.f64 (.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (expm1.f64 (.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)))))
(/.f64 (expm1.f64 (.f64 (.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)))
(/.f64 (expm1.f64 (.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))) (fma.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (exp.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))))
(/.f64 (expm1.f64 (.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))) (fma.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64))))
(neg.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x))))
(fma.f64 (*.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64) #s(literal -1 binary64))
(fma.f64 (fabs.f64 (exp.f64 x)) (fabs.f64 (exp.f64 x)) #s(literal -1 binary64))
(fma.f64 (neg.f64 (exp.f64 x)) (neg.f64 (exp.f64 x)) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -1 binary64))
(expm1.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)))
(expm1.f64 (*.f64 #s(literal 2 binary64) x))
(-.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)))))
(-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 (cosh.f64 (.f64 #s(literal 2 binary64) x)) (-.f64 (sinh.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))
(+.f64 (cosh.f64 (.f64 #s(literal 2 binary64) x)) (+.f64 (sinh.f64 (.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)))
(+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(-.f64 (/.f64 (.f64 x x) #s(literal 0 binary64)) (/.f64 (.f64 x x) #s(literal 0 binary64)))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64))))
(+.f64 x x)
(*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) x)
(*.f64 x (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64)) x) (fma.f64 #s(literal -1 binary64) (expm1.f64 x) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))
(/.f64 (.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) x) (expm1.f64 x))
(/.f64 (*.f64 x (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal -1 binary64) (expm1.f64 x) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))
(/.f64 (.f64 x (expm1.f64 (.f64 #s(literal 2 binary64) x))) (expm1.f64 x))
(neg.f64 (*.f64 (-.f64 #s(literal -1 binary64) (exp.f64 x)) x))
(fma.f64 (exp.f64 x) x (*.f64 #s(literal 1 binary64) x))
(fma.f64 x (exp.f64 x) (*.f64 x #s(literal 1 binary64)))
(+.f64 (.f64 x (exp.f64 x)) (.f64 x #s(literal 1 binary64)))
(+.f64 (.f64 (exp.f64 x) x) (.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(.f64 (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal -1 binary64) (expm1.f64 x) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (neg.f64 (expm1.f64 x)))
(/.f64 (expm1.f64 (.f64 (.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 x)))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -1 binary64) (expm1.f64 x) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))
(/.f64 (expm1.f64 (.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))) (*.f64 (fma.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64))) (expm1.f64 x)))
(/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 x))
(neg.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (neg.f64 (expm1.f64 x))))
(neg.f64 (-.f64 #s(literal -1 binary64) (exp.f64 x)))
(fma.f64 (neg.f64 (exp.f64 x)) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (exp.f64 x) #s(literal 1 binary64))
(fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (expm1.f64 x) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1 binary64) (expm1.f64 x) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (expm1.f64 x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x)))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (exp.f64 x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 x) #s(literal -1 binary64))
(+.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (expm1.f64 x)) (/.f64 #s(literal -1 binary64) (expm1.f64 x)))
(+.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) #s(literal -1 binary64)))
(+.f64 (cosh.f64 x) (+.f64 (sinh.f64 x) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (exp.f64 x))
(+.f64 (exp.f64 x) #s(literal 1 binary64))
(*.f64 (neg.f64 (exp.f64 x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 x))
(*.f64 (exp.f64 x) #s(literal 1 binary64))
(/.f64 (-.f64 (.f64 (cosh.f64 x) (cosh.f64 x)) (.f64 (sinh.f64 x) (sinh.f64 x))) (-.f64 (cosh.f64 x) (sinh.f64 x)))
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (.f64 (sinh.f64 x) (sinh.f64 x)) (.f64 (cosh.f64 x) (sinh.f64 x)))))
(neg.f64 (neg.f64 (exp.f64 x)))
(exp.f64 (+.f64 x #s(literal 0 binary64)))
(exp.f64 x)
(+.f64 (sinh.f64 x) (cosh.f64 x))
(+.f64 (cosh.f64 x) (sinh.f64 x))
#s(literal -1 binary64)

eval23.0ms (2.3%)

Memory: -18.2MiB live, 28.8MiB allocated; 2ms collecting garbage
Compiler: Compiled 2 195 to 426 computations (80.6% saved)

prune3.0ms (0.3%)

Memory

8.8MiB live, 8.8MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	125	2	127
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	125	4	129

Accuracy

100.0%

Counts

129 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	74.6%	(/.f64 (expm1.f64 (+.f64 x x)) (fma.f64 (exp.f64 x) x (*.f64 #s(literal 1 binary64) x)))
▶	51.1%	(/.f64 (expm1.f64 (+.f64 x x)) (/.f64 (.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) x) (expm1.f64 x)))
✓	74.6%	(/.f64 (expm1.f64 (+.f64 x x)) (*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) x))
✓	100.0%	(/.f64 (expm1.f64 x) x)

Compiler

Compiled 41 to 29 computations (29.3% saved)

rewrite68.0ms (6.8%)

Memory

-3.7MiB live, 88.4MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	72
0	30	76
1	149	44
0	1043	44

Stop Event

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

Counts

15 → 259

Calls

Call 1

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

Outputs
(.f64 (/.f64 (expm1.f64 #s(literal 2 binary64)) (.f64 (neg.f64 x) (expm1.f64 #s(literal 2 binary64)))) (neg.f64 (expm1.f64 x)))
(.f64 (/.f64 (expm1.f64 #s(literal 2 binary64)) (.f64 (fma.f64 (exp.f64 x) x x) (.f64 x (expm1.f64 x)))) (.f64 x (expm1.f64 x)))
(.f64 (/.f64 (expm1.f64 #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (exp.f64 x) x) #s(literal 3 binary64)))) (fma.f64 (.f64 x x) (exp.f64 #s(literal 2 binary64)) (.f64 x (-.f64 x (*.f64 (exp.f64 x) x)))))
(*.f64 (/.f64 (/.f64 (expm1.f64 #s(literal 2 binary64)) x) (expm1.f64 #s(literal 2 binary64))) (expm1.f64 x))
(*.f64 (expm1.f64 x) (/.f64 (/.f64 (expm1.f64 #s(literal 2 binary64)) x) (expm1.f64 #s(literal 2 binary64))))
(/.f64 (/.f64 (expm1.f64 #s(literal 2 binary64)) (expm1.f64 #s(literal 2 binary64))) (/.f64 x (expm1.f64 x)))
(/.f64 (/.f64 (expm1.f64 #s(literal 2 binary64)) x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
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#s(literal 2 binary64)
x
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(-.f64 (/.f64 (exp.f64 #s(literal 4 binary64)) (-.f64 (exp.f64 #s(literal 2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 #s(literal 2 binary64)) #s(literal -1 binary64))))
(-.f64 (/.f64 (exp.f64 #s(literal 6 binary64)) (+.f64 (+.f64 (exp.f64 #s(literal 4 binary64)) #s(literal 1 binary64)) (exp.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (exp.f64 #s(literal 4 binary64)) #s(literal 1 binary64)) (exp.f64 #s(literal 2 binary64)))))
(-.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal -1 binary64) (exp.f64 #s(literal 2 binary64)))
(+.f64 (cosh.f64 #s(literal -2 binary64)) (-.f64 (sinh.f64 #s(literal 2 binary64)) #s(literal 1 binary64)))
(+.f64 (cosh.f64 #s(literal -2 binary64)) (+.f64 (sinh.f64 #s(literal 2 binary64)) #s(literal -1 binary64)))
(+.f64 (exp.f64 #s(literal 2 binary64)) #s(literal -1 binary64))
#s(literal 2 binary64)
#s(literal 2 binary64)
(/.f64 (neg.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 #s(literal 2 binary64)))))
(/.f64 (expm1.f64 #s(literal 4 binary64)) (*.f64 (-.f64 (exp.f64 #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(/.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (exp.f64 x) #s(literal -1 binary64)))))
(/.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 #s(literal 2 binary64))))
(/.f64 (expm1.f64 #s(literal 6 binary64)) (*.f64 (+.f64 (+.f64 (exp.f64 #s(literal 4 binary64)) #s(literal 1 binary64)) (exp.f64 #s(literal 2 binary64))) (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(/.f64 (neg.f64 (expm1.f64 #s(literal 2 binary64))) (neg.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(/.f64 (expm1.f64 #s(literal 2 binary64)) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(neg.f64 (neg.f64 (expm1.f64 x)))
(fma.f64 #s(literal 1 binary64) (exp.f64 x) #s(literal -1 binary64))
(fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64))
(expm1.f64 (+.f64 x #s(literal 0 binary64)))
(expm1.f64 x)
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 #s(literal 2 binary64)))))
(-.f64 (/.f64 (exp.f64 #s(literal 2 binary64)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(+.f64 (/.f64 (exp.f64 #s(literal 2 binary64)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(+.f64 #s(literal -1 binary64) (exp.f64 x))
(+.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))
(+.f64 (cosh.f64 x) (+.f64 (sinh.f64 x) #s(literal -1 binary64)))
(+.f64 (exp.f64 x) #s(literal -1 binary64))
(.f64 (/.f64 (expm1.f64 #s(literal 2 binary64)) (.f64 (neg.f64 x) (expm1.f64 #s(literal 2 binary64)))) (neg.f64 (expm1.f64 x)))
(.f64 (/.f64 (expm1.f64 #s(literal 2 binary64)) (.f64 (fma.f64 (exp.f64 x) x x) (.f64 x (expm1.f64 x)))) (.f64 x (expm1.f64 x)))
(.f64 (/.f64 (expm1.f64 #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (exp.f64 x) x) #s(literal 3 binary64)))) (fma.f64 (.f64 x x) (exp.f64 #s(literal 2 binary64)) (.f64 x (-.f64 x (*.f64 (exp.f64 x) x)))))
(*.f64 (/.f64 (/.f64 (expm1.f64 #s(literal 2 binary64)) x) (expm1.f64 #s(literal 2 binary64))) (expm1.f64 x))
(*.f64 (expm1.f64 x) (/.f64 (/.f64 (expm1.f64 #s(literal 2 binary64)) x) (expm1.f64 #s(literal 2 binary64))))
(/.f64 (/.f64 (expm1.f64 #s(literal 2 binary64)) (expm1.f64 #s(literal 2 binary64))) (/.f64 x (expm1.f64 x)))
(/.f64 (/.f64 (expm1.f64 #s(literal 2 binary64)) x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(/.f64 (.f64 (expm1.f64 #s(literal 2 binary64)) (expm1.f64 x)) (.f64 (expm1.f64 #s(literal 2 binary64)) x))
(/.f64 (.f64 (/.f64 (/.f64 (expm1.f64 #s(literal 2 binary64)) x) (expm1.f64 #s(literal 2 binary64))) (expm1.f64 (.f64 x #s(literal 3 binary64)))) (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (/.f64 (/.f64 (expm1.f64 #s(literal 2 binary64)) x) (expm1.f64 #s(literal 2 binary64))) (expm1.f64 #s(literal 2 binary64))) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(/.f64 (-.f64 (.f64 (/.f64 (exp.f64 #s(literal 2 binary64)) (fma.f64 (exp.f64 x) x x)) (/.f64 (exp.f64 #s(literal 2 binary64)) (fma.f64 (exp.f64 x) x x))) (.f64 (pow.f64 (fma.f64 (exp.f64 x) x x) #s(literal -1 binary64)) (pow.f64 (fma.f64 (exp.f64 x) x x) #s(literal -1 binary64)))) (+.f64 (/.f64 (exp.f64 #s(literal 2 binary64)) (fma.f64 (exp.f64 x) x x)) (pow.f64 (fma.f64 (exp.f64 x) x x) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 #s(literal 2 binary64)) (fma.f64 (exp.f64 x) x x)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (exp.f64 x) x x) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 #s(literal 2 binary64)) (fma.f64 (exp.f64 x) x x)) (/.f64 (exp.f64 #s(literal 2 binary64)) (fma.f64 (exp.f64 x) x x)) (fma.f64 (pow.f64 (fma.f64 (exp.f64 x) x x) #s(literal -1 binary64)) (pow.f64 (fma.f64 (exp.f64 x) x x) #s(literal -1 binary64)) (*.f64 (/.f64 (exp.f64 #s(literal 2 binary64)) (fma.f64 (exp.f64 x) x x)) (pow.f64 (fma.f64 (exp.f64 x) x x) #s(literal -1 binary64))))))
(/.f64 (.f64 (expm1.f64 #s(literal 2 binary64)) (expm1.f64 (.f64 x #s(literal 3 binary64)))) (.f64 (.f64 (expm1.f64 #s(literal 2 binary64)) x) (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 #s(literal 2 binary64)))))
(/.f64 (.f64 (expm1.f64 #s(literal 2 binary64)) (expm1.f64 #s(literal 2 binary64))) (.f64 (*.f64 (expm1.f64 #s(literal 2 binary64)) x) (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 (exp.f64 #s(literal 2 binary64)) (fma.f64 (exp.f64 x) x x)) (.f64 (fma.f64 (exp.f64 x) x x) #s(literal 1 binary64))) (*.f64 (fma.f64 (exp.f64 x) x x) (fma.f64 (exp.f64 x) x x)))
(/.f64 (expm1.f64 #s(literal 4 binary64)) (*.f64 (-.f64 (exp.f64 #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 (exp.f64 x) x x)))
(/.f64 (expm1.f64 #s(literal 6 binary64)) (*.f64 (+.f64 (+.f64 (exp.f64 #s(literal 4 binary64)) #s(literal 1 binary64)) (exp.f64 #s(literal 2 binary64))) (fma.f64 (exp.f64 x) x x)))
(/.f64 (neg.f64 (expm1.f64 #s(literal 2 binary64))) (neg.f64 (fma.f64 (exp.f64 x) x x)))
(/.f64 (expm1.f64 #s(literal 2 binary64)) (fma.f64 (exp.f64 x) x x))
(neg.f64 (-.f64 (pow.f64 (fma.f64 (exp.f64 x) x x) #s(literal -1 binary64)) (/.f64 (exp.f64 #s(literal 2 binary64)) (fma.f64 (exp.f64 x) x x))))
(neg.f64 (/.f64 (neg.f64 (expm1.f64 #s(literal 2 binary64))) (fma.f64 (exp.f64 x) x x)))
(neg.f64 (/.f64 (expm1.f64 #s(literal 2 binary64)) (neg.f64 (fma.f64 (exp.f64 x) x x))))
(neg.f64 (*.f64 (/.f64 (/.f64 (expm1.f64 #s(literal 2 binary64)) x) (expm1.f64 #s(literal 2 binary64))) (neg.f64 (expm1.f64 x))))
(fma.f64 (/.f64 (exp.f64 #s(literal 2 binary64)) (.f64 (fma.f64 (exp.f64 x) x x) (.f64 x (expm1.f64 x)))) (*.f64 x (expm1.f64 x)) (neg.f64 (pow.f64 (fma.f64 (exp.f64 x) x x) #s(literal -1 binary64))))
(fma.f64 (/.f64 (exp.f64 #s(literal 2 binary64)) (.f64 (fma.f64 (exp.f64 x) x x) (.f64 x (expm1.f64 x)))) (*.f64 x (expm1.f64 x)) (/.f64 #s(literal -1 binary64) (fma.f64 (exp.f64 x) x x)))
(fma.f64 (/.f64 (exp.f64 #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (exp.f64 x) x) #s(literal 3 binary64)))) (fma.f64 (.f64 x x) (exp.f64 #s(literal 2 binary64)) (.f64 x (-.f64 x (.f64 (exp.f64 x) x)))) (neg.f64 (pow.f64 (fma.f64 (exp.f64 x) x x) #s(literal -1 binary64))))
(fma.f64 (/.f64 (exp.f64 #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (exp.f64 x) x) #s(literal 3 binary64)))) (fma.f64 (.f64 x x) (exp.f64 #s(literal 2 binary64)) (.f64 x (-.f64 x (.f64 (exp.f64 x) x)))) (/.f64 #s(literal -1 binary64) (fma.f64 (exp.f64 x) x x)))
(fma.f64 (/.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 x) (expm1.f64 #s(literal 2 binary64)))) (neg.f64 (expm1.f64 x)) (neg.f64 (pow.f64 (fma.f64 (exp.f64 x) x x) #s(literal -1 binary64))))
(fma.f64 (/.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 x) (expm1.f64 #s(literal 2 binary64)))) (neg.f64 (expm1.f64 x)) (/.f64 #s(literal -1 binary64) (fma.f64 (exp.f64 x) x x)))
(fma.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (neg.f64 (pow.f64 (fma.f64 (exp.f64 x) x x) #s(literal -1 binary64))))
(fma.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (exp.f64 x) x x)))
(fma.f64 (/.f64 (exp.f64 x) (expm1.f64 #s(literal 2 binary64))) (/.f64 (exp.f64 x) (/.f64 x (expm1.f64 x))) (neg.f64 (pow.f64 (fma.f64 (exp.f64 x) x x) #s(literal -1 binary64))))
(fma.f64 (/.f64 (exp.f64 x) (expm1.f64 #s(literal 2 binary64))) (/.f64 (exp.f64 x) (/.f64 x (expm1.f64 x))) (/.f64 #s(literal -1 binary64) (fma.f64 (exp.f64 x) x x)))
(fma.f64 (/.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 (expm1.f64 #s(literal 2 binary64)) x)) (expm1.f64 x) (neg.f64 (pow.f64 (fma.f64 (exp.f64 x) x x) #s(literal -1 binary64))))
(fma.f64 (/.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 (expm1.f64 #s(literal 2 binary64)) x)) (expm1.f64 x) (/.f64 #s(literal -1 binary64) (fma.f64 (exp.f64 x) x x)))
(fma.f64 (/.f64 (/.f64 (expm1.f64 #s(literal 2 binary64)) x) (expm1.f64 #s(literal 2 binary64))) (exp.f64 x) (*.f64 (/.f64 (/.f64 (expm1.f64 #s(literal 2 binary64)) x) (expm1.f64 #s(literal 2 binary64))) #s(literal -1 binary64)))
(fma.f64 (exp.f64 x) (/.f64 (exp.f64 x) (fma.f64 (exp.f64 x) x x)) (neg.f64 (pow.f64 (fma.f64 (exp.f64 x) x x) #s(literal -1 binary64))))
(fma.f64 (exp.f64 x) (/.f64 (exp.f64 x) (fma.f64 (exp.f64 x) x x)) (/.f64 #s(literal -1 binary64) (fma.f64 (exp.f64 x) x x)))
(fma.f64 (exp.f64 x) (/.f64 (/.f64 (expm1.f64 #s(literal 2 binary64)) x) (expm1.f64 #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (expm1.f64 #s(literal 2 binary64)) x) (expm1.f64 #s(literal 2 binary64)))))
(-.f64 (/.f64 (exp.f64 #s(literal 2 binary64)) (fma.f64 (exp.f64 x) x x)) (pow.f64 (fma.f64 (exp.f64 x) x x) #s(literal -1 binary64)))
(+.f64 (.f64 (exp.f64 x) (/.f64 (/.f64 (expm1.f64 #s(literal 2 binary64)) x) (expm1.f64 #s(literal 2 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 (/.f64 (expm1.f64 #s(literal 2 binary64)) x) (expm1.f64 #s(literal 2 binary64)))))
(+.f64 (.f64 (/.f64 (/.f64 (expm1.f64 #s(literal 2 binary64)) x) (expm1.f64 #s(literal 2 binary64))) (exp.f64 x)) (.f64 (/.f64 (/.f64 (expm1.f64 #s(literal 2 binary64)) x) (expm1.f64 #s(literal 2 binary64))) #s(literal -1 binary64)))
(+.f64 (/.f64 (exp.f64 #s(literal 2 binary64)) (fma.f64 (exp.f64 x) x x)) (neg.f64 (pow.f64 (fma.f64 (exp.f64 x) x x) #s(literal -1 binary64))))
(+.f64 (/.f64 (exp.f64 #s(literal 2 binary64)) (fma.f64 (exp.f64 x) x x)) (/.f64 #s(literal -1 binary64) (fma.f64 (exp.f64 x) x x)))
(.f64 (/.f64 (.f64 (expm1.f64 #s(literal 2 binary64)) x) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 #s(literal 2 binary64))))
(.f64 (/.f64 (.f64 (expm1.f64 #s(literal 2 binary64)) x) (expm1.f64 #s(literal 2 binary64))) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(*.f64 (/.f64 x (expm1.f64 x)) (expm1.f64 #s(literal 2 binary64)))
(*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) x)
(*.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) x x))
(*.f64 (expm1.f64 #s(literal 2 binary64)) (/.f64 x (expm1.f64 x)))
(*.f64 x (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(/.f64 (*.f64 (expm1.f64 #s(literal 4 binary64)) (/.f64 x (expm1.f64 x))) (-.f64 (exp.f64 #s(literal 2 binary64)) #s(literal -1 binary64)))
(/.f64 (*.f64 (expm1.f64 #s(literal 6 binary64)) (/.f64 x (expm1.f64 x))) (+.f64 (+.f64 (exp.f64 #s(literal 4 binary64)) #s(literal 1 binary64)) (exp.f64 #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (exp.f64 x) x) #s(literal 2 binary64))) (-.f64 x (*.f64 (exp.f64 x) x)))
(/.f64 (-.f64 (pow.f64 (.f64 (exp.f64 x) x) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 (.f64 x x) (exp.f64 #s(literal 2 binary64)) (fma.f64 x x (.f64 (.f64 (exp.f64 x) x) (neg.f64 x)))))
(/.f64 (neg.f64 (.f64 (fma.f64 (exp.f64 x) x x) (.f64 x (expm1.f64 x)))) (neg.f64 (*.f64 x (expm1.f64 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (exp.f64 x) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 x x) (exp.f64 #s(literal 2 binary64)) (.f64 x (-.f64 x (.f64 (exp.f64 x) x))))))
(/.f64 (.f64 (expm1.f64 #s(literal 4 binary64)) x) (.f64 (-.f64 (exp.f64 #s(literal 2 binary64)) #s(literal -1 binary64)) (expm1.f64 x)))
(/.f64 (.f64 (expm1.f64 #s(literal 6 binary64)) x) (.f64 (+.f64 (+.f64 (exp.f64 #s(literal 4 binary64)) #s(literal 1 binary64)) (exp.f64 #s(literal 2 binary64))) (expm1.f64 x)))
(/.f64 (.f64 (fma.f64 (exp.f64 x) x x) (.f64 x (expm1.f64 x))) (*.f64 x (expm1.f64 x)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (exp.f64 x) x) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (.f64 (exp.f64 x) x) #s(literal 2 binary64)) (.f64 (.f64 (exp.f64 x) x) x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (exp.f64 x) x) #s(literal 3 binary64))) (fma.f64 (.f64 x x) (exp.f64 #s(literal 2 binary64)) (.f64 x (-.f64 x (.f64 (exp.f64 x) x)))))
(/.f64 (*.f64 (neg.f64 x) (expm1.f64 #s(literal 2 binary64))) (neg.f64 (expm1.f64 x)))
(/.f64 (*.f64 (expm1.f64 #s(literal 2 binary64)) x) (expm1.f64 x))
(neg.f64 (neg.f64 (fma.f64 (exp.f64 x) x x)))
(fma.f64 (*.f64 (exp.f64 x) x) #s(literal 1 binary64) (neg.f64 (neg.f64 x)))
(fma.f64 (*.f64 (exp.f64 x) x) #s(literal 1 binary64) x)
(fma.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) x) (neg.f64 (neg.f64 x)))
(fma.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) x) x)
(fma.f64 (exp.f64 x) x (neg.f64 (neg.f64 x)))
(fma.f64 (exp.f64 x) x x)
(fma.f64 x (exp.f64 x) (neg.f64 (neg.f64 x)))
(fma.f64 x (exp.f64 x) x)
(-.f64 (/.f64 (pow.f64 (.f64 (exp.f64 x) x) #s(literal 2 binary64)) (.f64 x (expm1.f64 x))) (/.f64 (.f64 x x) (.f64 x (expm1.f64 x))))
(-.f64 (*.f64 (exp.f64 x) x) (neg.f64 x))
(-.f64 x (*.f64 (neg.f64 (exp.f64 x)) x))
(-.f64 x (*.f64 (neg.f64 x) (exp.f64 x)))
(+.f64 (/.f64 (pow.f64 (.f64 (exp.f64 x) x) #s(literal 3 binary64)) (fma.f64 (.f64 x x) (exp.f64 #s(literal 2 binary64)) (.f64 x (-.f64 x (.f64 (exp.f64 x) x))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x x) (exp.f64 #s(literal 2 binary64)) (.f64 x (-.f64 x (*.f64 (exp.f64 x) x))))))
(+.f64 (*.f64 (exp.f64 x) x) (neg.f64 (neg.f64 x)))
(+.f64 (*.f64 (exp.f64 x) x) x)
(+.f64 x (*.f64 (exp.f64 x) x))
(*.f64 #s(literal 1 binary64) (exp.f64 x))
(*.f64 (exp.f64 x) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) x)
(pow.f64 (exp.f64 x) #s(literal 1 binary64))
(/.f64 (-.f64 (.f64 (cosh.f64 x) (cosh.f64 x)) (.f64 (sinh.f64 x) (sinh.f64 x))) (-.f64 (cosh.f64 x) (sinh.f64 x)))
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (.f64 (sinh.f64 x) (sinh.f64 x)) (.f64 (cosh.f64 x) (sinh.f64 x)))))
(exp.f64 (+.f64 x #s(literal 0 binary64)))
(exp.f64 x)
(+.f64 (sinh.f64 x) (cosh.f64 x))
(+.f64 (cosh.f64 x) (sinh.f64 x))
x
#s(literal 1 binary64)

eval17.0ms (1.7%)

Memory: 7.3MiB live, 53.8MiB allocated; 2ms collecting garbage
Compiler: Compiled 3 078 to 495 computations (83.9% saved)

prune4.0ms (0.4%)

Memory

13.7MiB live, 13.8MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	169	2	171
Fresh	0	0	0
Picked	2	0	2
Done	0	2	2
Total	171	4	175

Accuracy

100.0%

Counts

175 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(/.f64 (.f64 (expm1.f64 #s(literal 2 binary64)) (expm1.f64 x)) (.f64 (expm1.f64 #s(literal 2 binary64)) x))
▶	74.6%	(/.f64 (expm1.f64 (+.f64 x x)) (fma.f64 (exp.f64 x) x x))
✓	74.6%	(/.f64 (expm1.f64 (+.f64 x x)) (*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) x))
✓	100.0%	(/.f64 (expm1.f64 x) x)

Compiler

Compiled 35 to 24 computations (31.4% saved)

series10.0ms (1%)

Memory

-23.4MiB live, 23.4MiB allocated; 2ms collecting garbage

Counts

12 → 41

Calls

Call 1

Inputs
(/.f64 (expm1.f64 (+.f64 x x)) (fma.f64 (exp.f64 x) x x))
(expm1.f64 (+.f64 x x))
(+.f64 x x)
x
(fma.f64 (exp.f64 x) x x)
(exp.f64 x)
(/.f64 (.f64 (expm1.f64 #s(literal 2 binary64)) (expm1.f64 x)) (.f64 (expm1.f64 #s(literal 2 binary64)) x))
(*.f64 (expm1.f64 #s(literal 2 binary64)) (expm1.f64 x))
(expm1.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(expm1.f64 x)
(*.f64 (expm1.f64 #s(literal 2 binary64)) x)

Outputs
#s(approx (/ (- (exp (+ x x)) 1) (+ (* (exp x) x) x)) #s(hole binary64 1))
#s(approx (/ (- (exp (+ x x)) 1) (+ (* (exp x) x) x)) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (/ (- (exp (+ x x)) 1) (+ (* (exp x) x) x)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/6 x))))))
#s(approx (/ (- (exp (+ x x)) 1) (+ (* (exp x) x) x)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (* 2 x)))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (* x (+ 2 (* 2 x)))))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (* x (+ 2 (* x (+ 2 (* 4/3 x)))))))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (* x (+ 2 (* x (+ 2 (* x (+ 4/3 (* 2/3 x)))))))))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (exp x) x) x) #s(hole binary64 (* 2 x)))
#s(approx (+ (* (exp x) x) x) #s(hole binary64 (* x (+ 2 x))))
#s(approx (+ (* (exp x) x) x) #s(hole binary64 (* x (+ 2 (* x (+ 1 (* 1/2 x)))))))
#s(approx (+ (* (exp x) x) x) #s(hole binary64 (* x (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))))
#s(approx (exp x) #s(hole binary64 1))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (/ (* (- (exp 2) 1) (- (exp x) 1)) (* (- (exp 2) 1) x)) #s(hole binary64 1))
#s(approx (/ (* (- (exp 2) 1) (- (exp x) 1)) (* (- (exp 2) 1) x)) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (/ (* (- (exp 2) 1) (- (exp x) 1)) (* (- (exp 2) 1) x)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/6 x))))))
#s(approx (/ (* (- (exp 2) 1) (- (exp x) 1)) (* (- (exp 2) 1) x)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))))
#s(approx (* (- (exp 2) 1) (- (exp x) 1)) #s(hole binary64 (* x (- (exp 2) 1))))
#s(approx (* (- (exp 2) 1) (- (exp x) 1)) #s(hole binary64 (* x (- (+ (exp 2) (* 1/2 (* x (- (exp 2) 1)))) 1))))
#s(approx (* (- (exp 2) 1) (- (exp x) 1)) #s(hole binary64 (* x (- (+ (exp 2) (* x (+ (* 1/6 (* x (- (exp 2) 1))) (* 1/2 (- (exp 2) 1))))) 1))))
#s(approx (* (- (exp 2) 1) (- (exp x) 1)) #s(hole binary64 (* x (- (+ (exp 2) (* x (+ (* 1/2 (- (exp 2) 1)) (* x (+ (* 1/24 (* x (- (exp 2) 1))) (* 1/6 (- (exp 2) 1))))))) 1))))
#s(approx (- (exp x) 1) #s(hole binary64 x))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* 1/2 x)))))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))))
#s(approx (* (- (exp 2) 1) x) #s(hole binary64 (* x (- (exp 2) 1))))
#s(approx (/ (- (exp (+ x x)) 1) (+ (* (exp x) x) x)) #s(hole binary64 (/ (- (exp (* 2 x)) 1) (* x (+ 1 (exp x))))))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (- (exp (* 2 x)) 1)))
#s(approx (+ (* (exp x) x) x) #s(hole binary64 (* x (+ 1 (exp x)))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (/ (* (- (exp 2) 1) (- (exp x) 1)) (* (- (exp 2) 1) x)) #s(hole binary64 (/ (- (exp x) 1) x)))
#s(approx (* (- (exp 2) 1) (- (exp x) 1)) #s(hole binary64 (* (- (exp 2) 1) (- (exp x) 1))))
#s(approx (- (exp x) 1) #s(hole binary64 (- (exp x) 1)))
#s(approx (/ (- (exp (+ x x)) 1) (+ (* (exp x) x) x)) #s(hole binary64 (* -1 (/ (- (exp (neg (* -2 x))) 1) (* x (- (* -1 (exp x)) 1))))))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (- (exp (neg (* -2 x))) 1)))
#s(approx (+ (* (exp x) x) x) #s(hole binary64 (* -1 (* x (- (* -1 (exp x)) 1)))))

Calls

3 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	((/ (- (exp (+ x x)) 1) (+ (* (exp x) x) x)) (- (exp (+ x x)) 1) (+ x x) x (+ (* (exp x) x) x) (exp x) (/ (* (- (exp 2) 1) (- (exp x) 1)) (* (- (exp 2) 1) x)) (* (- (exp 2) 1) (- (exp x) 1)) (- (exp 2) 1) 2 (- (exp x) 1) (* (- (exp 2) 1) x))
3.0ms	x	@	inf	((/ (- (exp (+ x x)) 1) (+ (* (exp x) x) x)) (- (exp (+ x x)) 1) (+ x x) x (+ (* (exp x) x) x) (exp x) (/ (* (- (exp 2) 1) (- (exp x) 1)) (* (- (exp 2) 1) x)) (* (- (exp 2) 1) (- (exp x) 1)) (- (exp 2) 1) 2 (- (exp x) 1) (* (- (exp 2) 1) x))
2.0ms	x	@	0	((/ (- (exp (+ x x)) 1) (+ (* (exp x) x) x)) (- (exp (+ x x)) 1) (+ x x) x (+ (* (exp x) x) x) (exp x) (/ (* (- (exp 2) 1) (- (exp x) 1)) (* (- (exp 2) 1) x)) (* (- (exp 2) 1) (- (exp x) 1)) (- (exp 2) 1) 2 (- (exp x) 1) (* (- (exp 2) 1) x))

Time

Variable

Point

Expression

4.0ms

-inf

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

3.0ms

inf

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

2.0ms

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

rewrite63.0ms (6.3%)

Memory

-9.9MiB live, 89.2MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	150	638
0	164	622
0	875	582

Stop Event

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

Counts

53 → 96

Calls

Call 1

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

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

eval10.0ms (1%)

Memory: 26.5MiB live, 26.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 625 to 342 computations (79% saved)

prune6.0ms (0.6%)

Memory

17.5MiB live, 17.5MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	93	4	97
Fresh	0	0	0
Picked	1	1	2
Done	0	2	2
Total	94	7	101

Accuracy

100.0%

Counts

101 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	74.6%	(/.f64 (expm1.f64 (+.f64 x x)) (fma.f64 (exp.f64 x) x x))
✓	74.6%	(/.f64 (expm1.f64 (+.f64 x x)) (*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) x))
✓	100.0%	(/.f64 (expm1.f64 x) x)
	66.9%	#s(approx (/ (- (exp (+ x x)) 1) (+ (* (exp x) x) 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)))
	64.9%	#s(approx (/ (- (exp (+ x x)) 1) (+ (* (exp x) x) x)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
	52.0%	#s(approx (/ (- (exp (+ x x)) 1) (+ (* (exp x) x) x)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
	51.8%	#s(approx (/ (- (exp (+ x x)) 1) (+ (* (exp x) x) x)) #s(literal 1 binary64))

Compiler

Compiled 248 to 122 computations (50.8% saved)

regimes8.0ms (0.8%)

Memory

-27.2MiB live, 19.3MiB allocated; 2ms collecting garbage

Counts

11 → 1

Calls

Call 1

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

Outputs
(/.f64 (expm1.f64 x) x)

Calls

2 calls:

5.0ms	x
3.0ms	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)

Results

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes4.0ms (0.4%)

Memory

11.1MiB live, 11.1MiB allocated; 0ms collecting garbage

Counts

4 → 1

Calls

Call 1

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

Outputs
#s(approx (/ (- (exp (+ x x)) 1) (+ (* (exp x) x) 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)))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
66.9%	1	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`
66.9%	1	`x`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes3.0ms (0.3%)

Memory

9.7MiB live, 9.7MiB allocated; 0ms collecting garbage

Counts

3 → 1

Calls

Call 1

Inputs

#s(approx (/ (- (exp (+ x x)) 1) (+ (* (exp x) x) x)) #s(literal 1 binary64))

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

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
64.9%	1	`x`
64.9%	1	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes3.0ms (0.3%)

Memory

8.4MiB live, 8.4MiB allocated; 0ms collecting garbage

Counts

2 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
52.0%	1	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`
52.0%	1	`x`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes4.0ms (0.4%)

Memory

-39.5MiB live, 7.0MiB allocated; 2ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (exp (+ x x)) 1) (+ (* (exp x) x) x)) #s(literal 1 binary64))

Outputs
#s(approx (/ (- (exp (+ x x)) 1) (+ (* (exp x) x) x)) #s(literal 1 binary64))

Calls

2 calls:

3.0ms	x
1.0ms	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)

Results

Accuracy	Segments	Branch
51.8%	1	`x`
51.8%	1	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`

Compiler

Compiled 7 to 6 computations (14.3% saved)

derivations29.0ms (2.9%)

Memory

4.4MiB live, 52.7MiB allocated; 7ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 82 to 25 computations (69.5% saved)

preprocess30.0ms (3%)

Memory: 32.0MiB live, 77.9MiB allocated; 4ms collecting garbage
Compiler: Compiled 220 to 84 computations (61.8% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze1.0ms (0.1%)

sample445.0ms (44.9%)

explain62.0ms (6.3%)

preprocess46.0ms (4.6%)

rewrite76.0ms (7.6%)

eval8.0ms (0.8%)

prune1.0ms (0.1%)

rewrite69.0ms (7%)

eval23.0ms (2.3%)

prune3.0ms (0.3%)

rewrite68.0ms (6.8%)

eval17.0ms (1.7%)

prune4.0ms (0.4%)

series10.0ms (1%)

rewrite63.0ms (6.3%)

eval10.0ms (1%)

prune6.0ms (0.6%)

regimes8.0ms (0.8%)

regimes4.0ms (0.4%)

regimes3.0ms (0.3%)

regimes3.0ms (0.3%)

regimes4.0ms (0.4%)

derivations29.0ms (2.9%)

preprocess30.0ms (3%)

end0.0ms (0%)

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