Metrics for sqrtexp (problem 3.4.4)

start0.0ms (0%)

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

analyze2.0ms (0.1%)

Memory

1.8MiB live, 1.8MiB 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 14 to 9 computations (35.7% saved)

sample1.4s (88.7%)

Memory

-100.2MiB live, 888.0MiB allocated; 1.0s collecting garbage

Samples

922.0ms	8 256×	0	valid
149.0ms	2 689×	0	exit

Precisions

Click to see histograms. Total time spent on operations: 859.0ms

ival-mult!: 512.0ms (59.6% of total)

ival-expm1: 134.0ms (15.6% of total)

ival-sqrt: 110.0ms (12.8% of total)

ival-div!: 101.0ms (11.8% of total)

adjust: 2.0ms (0.2% of total)

Bogosity

preprocess33.0ms (2.1%)

Memory

37.7MiB live, 37.7MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	41
1	64	39
2	201	39
3	892	39
4	4950	39

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	33.6%	(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))

Compiler

Compiled 22 to 20 computations (9.1% saved)

rewrite67.0ms (4.3%)

Memory

-25.5MiB live, 62.6MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	45
0	17	45
1	73	31
0	563	27

Stop Event

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

Counts

10 → 118

Calls

Call 1

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

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

eval10.0ms (0.6%)

Memory: 17.0MiB live, 17.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 953 to 473 computations (50.4% saved)

prune3.0ms (0.2%)

Memory

5.8MiB live, 5.8MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	109	3	112
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	110	3	113

Accuracy

100.0%

Counts

113 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
▶	100.0%	(sqrt.f64 (/.f64 (expm1.f64 (.f64 (+.f64 x x) #s(literal 2 binary64))) (.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64)) (expm1.f64 x))))
▶	100.0%	(sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))

Status

Accuracy

Program

▶

100.0%

(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))

▶

100.0%

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

▶

100.0%

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

Compiler

Compiled 24 to 23 computations (4.2% saved)

rewrite28.0ms (1.8%)

Memory

-25.1MiB live, 20.3MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	101
0	35	71
0	146	71

Stop Event

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

Counts

18 → 84

Calls

Call 1

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

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

eval5.0ms (0.3%)

Memory: 9.2MiB live, 9.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 444 to 234 computations (47.3% saved)

prune3.0ms (0.2%)

Memory

4.8MiB live, 4.8MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	53	0	53
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	53	3	56

Accuracy

100.0%

Counts

56 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
✓	100.0%	(sqrt.f64 (/.f64 (expm1.f64 (.f64 (+.f64 x x) #s(literal 2 binary64))) (.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64)) (expm1.f64 x))))
✓	100.0%	(sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))

Status

Accuracy

Program

✓

100.0%

(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))

✓

100.0%

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

✓

100.0%

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

Compiler

Compiled 54 to 48 computations (11.1% saved)

regimes5.0ms (0.3%)

Memory

8.5MiB live, 8.5MiB allocated; 0ms collecting garbage

Accuracy

Total -42.5b remaining (-543559%)

Threshold costs -42.5b (-543559%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

3 calls:

2.0ms

1.0ms

(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))

1.0ms

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

Results

Accuracy	Segments	Branch
100.0%	1	`(/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
100.0%	1	`(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))`
100.0%	1	`x`

Compiler

Compiled 22 to 20 computations (9.1% saved)

derivations3.0ms (0.2%)

Memory

3.3MiB live, 3.3MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 5 to 5 computations (0% saved)

preprocess17.0ms (1.1%)

Memory: -37.9MiB live, 17.2MiB allocated; 12ms collecting garbage
Compiler: Compiled 16 to 15 computations (6.3% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze2.0ms (0.1%)

sample1.4s (88.7%)

preprocess33.0ms (2.1%)

rewrite67.0ms (4.3%)

eval10.0ms (0.6%)

prune3.0ms (0.2%)

rewrite28.0ms (1.8%)

eval5.0ms (0.3%)

prune3.0ms (0.2%)

regimes5.0ms (0.3%)

derivations3.0ms (0.2%)

preprocess17.0ms (1.1%)

end0.0ms (0%)

Profiling