Metrics for Numeric.SpecFunctions:logGammaCorrection from math-functions-0.1.5.2

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample803.0ms (14%)

Memory

22.1MiB live, 394.5MiB allocated; 197ms collecting garbage

Samples

410.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 183.0ms

ival-mult!: 160.0ms (87.2% of total)

ival-sub!: 21.0ms (11.4% of total)

adjust: 2.0ms (1.1% of total)

Bogosity

preprocess192.0ms (3.4%)

Memory

-19.9MiB live, 23.8MiB allocated; 32ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	11	22
1	32	22
2	94	22
3	297	21
4	1672	21

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(-.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))

Symmetry

(abs x)

Compiler

Compiled 12 to 12 computations (0% saved)

series3.0ms (0.1%)

Memory

2.6MiB live, 2.6MiB allocated; 0ms collecting garbage

Counts

6 → 7

Calls

Call 1

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

Outputs
#s(approx (- (* (* x x) 2) 1) #s(hole binary64 -1))
#s(approx (- (* (* x x) 2) 1) #s(hole binary64 (- (* 2 (pow x 2)) 1)))
#s(approx (* (* x x) 2) #s(hole binary64 (* 2 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (- (* (* x x) 2) 1) #s(hole binary64 (* 2 (pow x 2))))
#s(approx (- (* (* x x) 2) 1) #s(hole binary64 (* (pow x 2) (- 2 (/ 1 (pow x 2))))))

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	((- (* (* x x) 2) 1) (* (* x x) 2) (* x x) x 2 1)
1.0ms	x	@	-inf	((- (* (* x x) 2) 1) (* (* x x) 2) (* x x) x 2 1)
1.0ms	x	@	0	((- (* (* x x) 2) 1) (* (* x x) 2) (* x x) x 2 1)

rewrite1.5s (26.9%)

Memory

11.9MiB live, 392.5MiB allocated; 130ms collecting garbage

Counts

13 → 112

Calls

Call 1

Inputs
(-.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))
(.f64 (.f64 x x) #s(literal 2 binary64))
(*.f64 x x)
x
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(approx (- (* (* x x) 2) 1) #s(hole binary64 -1))
#s(approx (- (* (* x x) 2) 1) #s(hole binary64 (- (* 2 (pow x 2)) 1)))
#s(approx (* (* x x) 2) #s(hole binary64 (* 2 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (- (* (* x x) 2) 1) #s(hole binary64 (* 2 (pow x 2))))
#s(approx (- (* (* x x) 2) 1) #s(hole binary64 (* (pow x 2) (- 2 (/ 1 (pow x 2))))))

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

eval15.0ms (0.3%)

Memory: 13.2MiB live, 13.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 592 to 297 computations (49.8% saved)

prune4.0ms (0.1%)

Memory

3.9MiB live, 3.9MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	104	3	107
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	105	3	108

Accuracy

100.0%

Counts

108 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(-.f64 (*.f64 x (+.f64 x x)) #s(literal 1 binary64))
▶	49.5%	#s(approx (- (* 2 (* x x)) 1) (*.f64 x (+.f64 x x)))
▶	50.9%	#s(approx (- (* 2 (* x x)) 1) #s(literal -1 binary64))

Compiler

Compiled 22 to 22 computations (0% saved)

series3.0ms (0.1%)

Memory

3.0MiB live, 3.0MiB allocated; 0ms collecting garbage

Counts

8 → 11

Calls

Call 1

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

Outputs
#s(approx (- (* 2 (* x x)) 1) #s(hole binary64 -1))
#s(approx (- (* 2 (* x x)) 1) #s(hole binary64 (- (* 2 (pow x 2)) 1)))
#s(approx (* x (+ x x)) #s(hole binary64 (* 2 (pow x 2))))
#s(approx x #s(hole binary64 x))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
#s(approx (- (* x (+ x x)) 1) #s(hole binary64 -1))
#s(approx (- (* x (+ x x)) 1) #s(hole binary64 (- (* 2 (pow x 2)) 1)))
#s(approx (- (* 2 (* x x)) 1) #s(hole binary64 (* 2 (pow x 2))))
#s(approx (- (* 2 (* x x)) 1) #s(hole binary64 (* (pow x 2) (- 2 (/ 1 (pow x 2))))))
#s(approx (- (* x (+ x x)) 1) #s(hole binary64 (* 2 (pow x 2))))
#s(approx (- (* x (+ x x)) 1) #s(hole binary64 (* (pow x 2) (- 2 (/ 1 (pow x 2))))))

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	((- (* 2 (* x x)) 1) -1 (- (* 2 (* x x)) 1) (* x (+ x x)) x (+ x x) (- (* x (+ x x)) 1) 1)
1.0ms	x	@	0	((- (* 2 (* x x)) 1) -1 (- (* 2 (* x x)) 1) (* x (+ x x)) x (+ x x) (- (* x (+ x x)) 1) 1)
1.0ms	x	@	inf	((- (* 2 (* x x)) 1) -1 (- (* 2 (* x x)) 1) (* x (+ x x)) x (+ x x) (- (* x (+ x x)) 1) 1)

Time

Variable

Point

Expression

1.0ms

-inf

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

1.0ms

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

1.0ms

inf

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

rewrite1.5s (26.5%)

Memory

-15.0MiB live, 226.7MiB allocated; 126ms collecting garbage

Counts

19 → 163

Calls

Call 1

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

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

eval16.0ms (0.3%)

Memory: 12.8MiB live, 12.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 734 to 304 computations (58.6% saved)

prune7.0ms (0.1%)

Memory

4.3MiB live, 4.3MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	153	2	155
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	153	5	158

Accuracy

100.0%

Counts

158 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 (*.f64 x (+.f64 x x)) #s(literal 1 binary64))
▶	4.7%	#s(approx (- (* 2 (* x x)) 1) (+.f64 x x))
✓	49.5%	#s(approx (- (* 2 (* x x)) 1) (*.f64 x (+.f64 x x)))
▶	2.9%	#s(approx (- (* 2 (* x x)) 1) #s(approx 2 #s(literal 2 binary64)))
✓	50.9%	#s(approx (- (* 2 (* x x)) 1) #s(literal -1 binary64))

Compiler

Compiled 39 to 39 computations (0% saved)

series2.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated; 0ms collecting garbage

Counts

6 → 6

Calls

Call 1

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

Outputs
#s(approx (- (* 2 (* x x)) 1) #s(hole binary64 -1))
#s(approx (- (* 2 (* x x)) 1) #s(hole binary64 (- (* 2 (pow x 2)) 1)))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (- (* 2 (* x x)) 1) #s(hole binary64 (* 2 (pow x 2))))
#s(approx (- (* 2 (* x x)) 1) #s(hole binary64 (* (pow x 2) (- 2 (/ 1 (pow x 2))))))

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	((- (* 2 (* x x)) 1) 2 2 (- (* 2 (* x x)) 1) (+ x x) x)
1.0ms	x	@	inf	((- (* 2 (* x x)) 1) 2 2 (- (* 2 (* x x)) 1) (+ x x) x)
0.0ms	x	@	0	((- (* 2 (* x x)) 1) 2 2 (- (* 2 (* x x)) 1) (+ x x) x)

rewrite1.5s (26.3%)

Memory

-24.9MiB live, 263.0MiB allocated; 58ms collecting garbage

Counts

12 → 120

Calls

Call 1

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

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

eval7.0ms (0.1%)

Memory: 4.8MiB live, 4.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 347 to 228 computations (34.3% saved)

prune5.0ms (0.1%)

Memory

3.0MiB live, 3.0MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	60	0	60
Fresh	0	0	0
Picked	0	2	2
Done	0	3	3
Total	60	5	65

Accuracy

100.0%

Counts

65 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 (*.f64 x (+.f64 x x)) #s(literal 1 binary64))
✓	4.7%	#s(approx (- (* 2 (* x x)) 1) (+.f64 x x))
✓	49.5%	#s(approx (- (* 2 (* x x)) 1) (*.f64 x (+.f64 x x)))
✓	2.9%	#s(approx (- (* 2 (* x x)) 1) #s(approx 2 #s(literal 2 binary64)))
✓	50.9%	#s(approx (- (* 2 (* x x)) 1) #s(literal -1 binary64))

Compiler

Compiled 66 to 59 computations (10.6% saved)

regimes10.0ms (0.2%)

Memory

7.9MiB live, 7.9MiB allocated; 0ms collecting garbage

Counts

6 → 1

Calls

Call 1

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

Outputs
(-.f64 (*.f64 x (+.f64 x x)) #s(literal 1 binary64))

Calls

4 calls:

3.0ms	x
2.0ms	(*.f64 x x)
2.0ms	(.f64 (.f64 x x) #s(literal 2 binary64))
2.0ms	(-.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))

Results

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

Compiler

Compiled 13 to 13 computations (0% saved)

regimes8.0ms (0.1%)

Memory

6.8MiB live, 6.8MiB allocated; 0ms collecting garbage

Counts

4 → 2

Calls

Call 1

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

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

Calls

4 calls:

2.0ms	x
2.0ms	(.f64 (.f64 x x) #s(literal 2 binary64))
2.0ms	(*.f64 x x)
2.0ms	(-.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
98.6%	2	`(*.f64 x x)`
98.6%	2	`(.f64 (.f64 x x) #s(literal 2 binary64))`
98.6%	2	`(-.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))`
98.6%	2	`x`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes7.0ms (0.1%)

Memory

6.3MiB live, 6.3MiB allocated; 0ms collecting garbage

Counts

3 → 2

Calls

Call 1

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

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

Calls

4 calls:

2.0ms	x
2.0ms	(.f64 (.f64 x x) #s(literal 2 binary64))
2.0ms	(*.f64 x x)
2.0ms	(-.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
54.0%	2	`(*.f64 x x)`
54.0%	2	`(.f64 (.f64 x x) #s(literal 2 binary64))`
54.0%	2	`(-.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))`
54.0%	2	`x`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes6.0ms (0.1%)

Memory

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

Counts

2 → 2

Calls

Call 1

Inputs
#s(approx (- (* 2 (* x x)) 1) #s(literal -1 binary64))
#s(approx (- (* 2 (* x x)) 1) #s(approx 2 #s(literal 2 binary64)))

Outputs
#s(approx (- (* 2 (* x x)) 1) #s(literal -1 binary64))
#s(approx (- (* 2 (* x x)) 1) #s(approx 2 #s(literal 2 binary64)))

Calls

4 calls:

2.0ms	x
1.0ms	(.f64 (.f64 x x) #s(literal 2 binary64))
1.0ms	(*.f64 x x)
1.0ms	(-.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
52.6%	2	`x`
52.6%	2	`(*.f64 x x)`
52.6%	2	`(.f64 (.f64 x x) #s(literal 2 binary64))`
52.6%	2	`(-.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes6.0ms (0.1%)

Memory

-41.8MiB live, 5.3MiB allocated; 1ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (- (* 2 (* x x)) 1) #s(literal -1 binary64))

Outputs
#s(approx (- (* 2 (* x x)) 1) #s(literal -1 binary64))

Calls

4 calls:

2.0ms	(-.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))
1.0ms	x
1.0ms	(*.f64 x x)
1.0ms	(.f64 (.f64 x x) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
50.9%	1	`(*.f64 x x)`
50.9%	1	`(.f64 (.f64 x x) #s(literal 2 binary64))`
50.9%	1	`(-.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))`
50.9%	1	`x`

Compiler

Compiled 13 to 13 computations (0% saved)

bsearch8.0ms (0.1%)

Memory

2.8MiB live, 2.8MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
7.0ms	0.0479137892428057	1.6548406547324037

Samples

3.0ms

112×

valid

Compiler

Compiled 129 to 143 computations (-10.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

ival-mult!: 1.0ms (77.1% of total)

ival-sub!: 0.0ms (0% of total)

adjust: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.995408537600792	4.476995185110341

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch12.0ms (0.2%)

Memory

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

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	-0.995408537600792	4.476995185110341

Samples

4.0ms

256×

valid

Compiler

Compiled 281 to 314 computations (-11.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

adjust: 0.0ms (0% of total)

derivations1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 36 to 29 computations (19.4% saved)

preprocess46.0ms (0.8%)

Memory: 9.0MiB live, 53.4MiB allocated; 5ms collecting garbage
Remove: (abs x)
Compiler: Compiled 188 to 161 computations (14.4% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample803.0ms (14%)

preprocess192.0ms (3.4%)

series3.0ms (0.1%)

rewrite1.5s (26.9%)

eval15.0ms (0.3%)

prune4.0ms (0.1%)

series3.0ms (0.1%)

rewrite1.5s (26.5%)

eval16.0ms (0.3%)

prune7.0ms (0.1%)

series2.0ms (0%)

rewrite1.5s (26.3%)

eval7.0ms (0.1%)

prune5.0ms (0.1%)

regimes10.0ms (0.2%)

regimes8.0ms (0.1%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch8.0ms (0.1%)

bsearch0.0ms (0%)

bsearch12.0ms (0.2%)

derivations1.0ms (0%)

preprocess46.0ms (0.8%)

end0.0ms (0%)

Profiling