Metrics for Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, H

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample708.0ms (48.2%)

Memory

46.9MiB live, 845.2MiB allocated; 416ms collecting garbage

Samples

474.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 305.0ms

ival-mult!: 236.0ms (77.3% of total)

ival-div!: 41.0ms (13.4% of total)

ival-sub!: 27.0ms (8.8% of total)

adjust: 1.0ms (0.3% of total)

Bogosity

preprocess357.0ms (24.3%)

Memory

-31.0MiB live, 61.6MiB allocated; 18ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	21
1	36	21
2	86	21
3	179	21
4	532	21
5	2591	21

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))

Symmetry

(abs x)

Compiler

Compiled 12 to 12 computations (0% saved)

series3.0ms (0.2%)

Memory

4.2MiB live, 4.2MiB allocated; 0ms collecting garbage

Counts

6 → 10

Calls

Call 1

Inputs
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
(-.f64 (*.f64 x x) #s(literal 3 binary64))
(*.f64 x x)
x
#s(literal 3 binary64)
#s(literal 6 binary64)

Outputs
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 -1/2))
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 (- (* 1/6 (pow x 2)) 1/2)))
#s(approx (- (* x x) 3) #s(hole binary64 -3))
#s(approx (- (* x x) 3) #s(hole binary64 (- (pow x 2) 3)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (- (* x x) 3) #s(hole binary64 (pow x 2)))
#s(approx (- (* x x) 3) #s(hole binary64 (* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))))

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	((/ (- (* x x) 3) 6) (- (* x x) 3) (* x x) x 3 6)
1.0ms	x	@	-inf	((/ (- (* x x) 3) 6) (- (* x x) 3) (* x x) x 3 6)
1.0ms	x	@	0	((/ (- (* x x) 3) 6) (- (* x x) 3) (* x x) x 3 6)

rewrite51.0ms (3.5%)

Memory

42.1MiB live, 42.1MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	132
0	39	128
1	141	128
0	975	114

Stop Event

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

Counts

16 → 59

Calls

Call 1

Inputs
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
(-.f64 (*.f64 x x) #s(literal 3 binary64))
(*.f64 x x)
x
#s(literal 3 binary64)
#s(literal 6 binary64)
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 -1/2))
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 (- (* 1/6 (pow x 2)) 1/2)))
#s(approx (- (* x x) 3) #s(hole binary64 -3))
#s(approx (- (* x x) 3) #s(hole binary64 (- (pow x 2) 3)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (- (* x x) 3) #s(hole binary64 (pow x 2)))
#s(approx (- (* x x) 3) #s(hole binary64 (* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))))

Outputs
(/.f64 (-.f64 (.f64 (/.f64 (.f64 x x) #s(literal 6 binary64)) (/.f64 (*.f64 x x) #s(literal 6 binary64))) #s(literal 1/4 binary64)) (fma.f64 x (/.f64 x #s(literal 6 binary64)) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (/.f64 (.f64 x x) #s(literal 6 binary64)) (/.f64 (.f64 x x) #s(literal 6 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x x #s(literal -3 binary64)))) #s(literal 6 binary64))
(/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal 18 binary64)) #s(literal 36 binary64))
(/.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64)) (*.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) #s(literal 27 binary64)) (.f64 (fma.f64 (.f64 (.f64 x x) x) x (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64))) #s(literal 6 binary64)))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -3 binary64))) #s(literal -6 binary64))
(/.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 6 binary64))
(neg.f64 (/.f64 (neg.f64 (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64)))
(neg.f64 (/.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal -6 binary64)))
(fma.f64 (neg.f64 x) (/.f64 (neg.f64 x) #s(literal 6 binary64)) #s(literal -1/2 binary64))
(fma.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) #s(literal 6 binary64)) #s(literal -1/2 binary64))
(fma.f64 x (/.f64 x #s(literal 6 binary64)) #s(literal -1/2 binary64))
(-.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 1/2 binary64))
(+.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal -1/2 binary64))
(/.f64 (neg.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64))) (neg.f64 (fma.f64 x x #s(literal 3 binary64))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) #s(literal 27 binary64))) (neg.f64 (fma.f64 (.f64 (.f64 x x) x) x (fma.f64 (.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)))))
(/.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64)) (fma.f64 x x #s(literal 3 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) #s(literal 27 binary64)) (fma.f64 (.f64 (.f64 x x) x) x (fma.f64 (.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64))))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) #s(literal -3 binary64))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) #s(literal -3 binary64))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) #s(literal -3 binary64))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) #s(literal -3 binary64))
(fma.f64 (neg.f64 x) (neg.f64 x) #s(literal -3 binary64))
(fma.f64 (fabs.f64 x) (fabs.f64 x) #s(literal -3 binary64))
(fma.f64 x x #s(literal -3 binary64))
(-.f64 (/.f64 (.f64 (.f64 (*.f64 x x) x) x) (fma.f64 x x #s(literal 3 binary64))) (/.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 3 binary64))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) (fma.f64 (.f64 (.f64 x x) x) x (fma.f64 (.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)))) (/.f64 #s(literal 27 binary64) (fma.f64 (.f64 (.f64 x x) x) x (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)))))
(-.f64 (*.f64 x x) #s(literal 3 binary64))
(+.f64 (*.f64 x x) #s(literal -3 binary64))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
x
#s(literal 3 binary64)
#s(literal 6 binary64)
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
#s(approx (- (* x x) 3) #s(literal -3 binary64))
#s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx x x)
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x) x))
#s(approx (- (* x x) 3) (*.f64 x x))
#s(approx (- (* x x) 3) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x x))) x) x))

eval22.0ms (1.5%)

Memory: -42.7MiB live, 9.0MiB allocated; 7ms collecting garbage
Compiler: Compiled 343 to 186 computations (45.8% saved)

prune3.0ms (0.2%)

Memory

5.5MiB live, 5.5MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	49	5	54
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	50	5	55

Accuracy

100.0%

Counts

55 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 x (/.f64 x #s(literal 6 binary64)) #s(literal -1/2 binary64))
▶	48.7%	(/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64))
▶	99.9%	#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
▶	48.7%	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
▶	52.1%	#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

Compiler

Compiled 84 to 84 computations (0% saved)

series4.0ms (0.3%)

Memory

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

Counts

14 → 20

Calls

Call 1

Inputs
(fma.f64 x (/.f64 x #s(literal 6 binary64)) #s(literal -1/2 binary64))
x
(/.f64 x #s(literal 6 binary64))
#s(literal 6 binary64)
#s(literal -1/2 binary64)
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(*.f64 x x)
#s(literal 1/6 binary64)
(/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64))
#s(approx (- (* x x) 3) (*.f64 x x))
#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))

Outputs
#s(approx (+ (* x (/ x 6)) -1/2) #s(hole binary64 -1/2))
#s(approx (+ (* x (/ x 6)) -1/2) #s(hole binary64 (- (* 1/6 (pow x 2)) 1/2)))
#s(approx x #s(hole binary64 x))
#s(approx (/ x 6) #s(hole binary64 (* 1/6 x)))
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 -1/2))
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 (- (* 1/6 (pow x 2)) 1/2)))
#s(approx (* (* x x) 1/6) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (- (* x x) 3) #s(hole binary64 -3))
#s(approx (- (* x x) 3) #s(hole binary64 (- (pow x 2) 3)))
#s(approx (+ (* (* x x) 1/6) -1/2) #s(hole binary64 -1/2))
#s(approx (+ (* (* x x) 1/6) -1/2) #s(hole binary64 (- (* 1/6 (pow x 2)) 1/2)))
#s(approx (+ (* x (/ x 6)) -1/2) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (+ (* x (/ x 6)) -1/2) #s(hole binary64 (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (- (* x x) 3) #s(hole binary64 (pow x 2)))
#s(approx (- (* x x) 3) #s(hole binary64 (* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* x x) 1/6) -1/2) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (+ (* (* x x) 1/6) -1/2) #s(hole binary64 (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))))

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	((+ (* x (/ x 6)) -1/2) x (/ x 6) 6 -1/2 (/ (- (* x x) 3) 6) (/ (- (* x x) 3) 6) (* (* x x) 1/6) (* x x) 1/6 (/ (- (* x x) 3) 6) (- (* x x) 3) (/ (- (* x x) 3) 6) (+ (* (* x x) 1/6) -1/2))
1.0ms	x	@	inf	((+ (* x (/ x 6)) -1/2) x (/ x 6) 6 -1/2 (/ (- (* x x) 3) 6) (/ (- (* x x) 3) 6) (* (* x x) 1/6) (* x x) 1/6 (/ (- (* x x) 3) 6) (- (* x x) 3) (/ (- (* x x) 3) 6) (+ (* (* x x) 1/6) -1/2))
1.0ms	x	@	0	((+ (* x (/ x 6)) -1/2) x (/ x 6) 6 -1/2 (/ (- (* x x) 3) 6) (/ (- (* x x) 3) 6) (* (* x x) 1/6) (* x x) 1/6 (/ (- (* x x) 3) 6) (- (* x x) 3) (/ (- (* x x) 3) 6) (+ (* (* x x) 1/6) -1/2))

Time

Variable

Point

Expression

1.0ms

-inf

((+ (* x (/ x 6)) -1/2) x (/ x 6) 6 -1/2 (/ (- (* x x) 3) 6) (/ (- (* x x) 3) 6) (* (* x x) 1/6) (* x x) 1/6 (/ (- (* x x) 3) 6) (- (* x x) 3) (/ (- (* x x) 3) 6) (+ (* (* x x) 1/6) -1/2))

1.0ms

inf

((+ (* x (/ x 6)) -1/2) x (/ x 6) 6 -1/2 (/ (- (* x x) 3) 6) (/ (- (* x x) 3) 6) (* (* x x) 1/6) (* x x) 1/6 (/ (- (* x x) 3) 6) (- (* x x) 3) (/ (- (* x x) 3) 6) (+ (* (* x x) 1/6) -1/2))

1.0ms

((+ (* x (/ x 6)) -1/2) x (/ x 6) 6 -1/2 (/ (- (* x x) 3) 6) (/ (- (* x x) 3) 6) (* (* x x) 1/6) (* x x) 1/6 (/ (- (* x x) 3) 6) (- (* x x) 3) (/ (- (* x x) 3) 6) (+ (* (* x x) 1/6) -1/2))

rewrite63.0ms (4.3%)

Memory

3.8MiB live, 49.9MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	323
0	66	315
1	210	305
0	1266	294

Stop Event

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

Counts

34 → 114

Calls

Call 1

Inputs
(fma.f64 x (/.f64 x #s(literal 6 binary64)) #s(literal -1/2 binary64))
x
(/.f64 x #s(literal 6 binary64))
#s(literal 6 binary64)
#s(literal -1/2 binary64)
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(*.f64 x x)
#s(literal 1/6 binary64)
(/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64))
#s(approx (- (* x x) 3) (*.f64 x x))
#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
#s(approx (+ (* x (/ x 6)) -1/2) #s(hole binary64 -1/2))
#s(approx (+ (* x (/ x 6)) -1/2) #s(hole binary64 (- (* 1/6 (pow x 2)) 1/2)))
#s(approx x #s(hole binary64 x))
#s(approx (/ x 6) #s(hole binary64 (* 1/6 x)))
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 -1/2))
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 (- (* 1/6 (pow x 2)) 1/2)))
#s(approx (* (* x x) 1/6) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (- (* x x) 3) #s(hole binary64 -3))
#s(approx (- (* x x) 3) #s(hole binary64 (- (pow x 2) 3)))
#s(approx (+ (* (* x x) 1/6) -1/2) #s(hole binary64 -1/2))
#s(approx (+ (* (* x x) 1/6) -1/2) #s(hole binary64 (- (* 1/6 (pow x 2)) 1/2)))
#s(approx (+ (* x (/ x 6)) -1/2) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (+ (* x (/ x 6)) -1/2) #s(hole binary64 (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (- (* x x) 3) #s(hole binary64 (pow x 2)))
#s(approx (- (* x x) 3) #s(hole binary64 (* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* x x) 1/6) -1/2) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (+ (* (* x x) 1/6) -1/2) #s(hole binary64 (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))))

Outputs
(/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 36 binary64))) (-.f64 #s(literal -1/2 binary64) (.f64 (/.f64 x #s(literal 6 binary64)) x)))
(/.f64 (-.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) #s(literal 216 binary64)) #s(literal 1/8 binary64)) (+.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 36 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 (/.f64 x #s(literal 6 binary64)) x) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x x #s(literal -3 binary64)))) #s(literal 6 binary64))
(/.f64 (neg.f64 (-.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 36 binary64)) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (.f64 (/.f64 x #s(literal 6 binary64)) x) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (+.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) #s(literal 216 binary64)) #s(literal -1/8 binary64))) (neg.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal -1/2 binary64) (.f64 (/.f64 x #s(literal 6 binary64)) x)) (/.f64 (.f64 (.f64 (*.f64 x x) x) x) #s(literal 36 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal 18 binary64)) #s(literal 36 binary64))
(/.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64)) (*.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64)))
(/.f64 (-.f64 (/.f64 (.f64 (.f64 (*.f64 x x) x) x) #s(literal 36 binary64)) #s(literal 1/4 binary64)) (fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal 1/2 binary64)))
(/.f64 (-.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 36 binary64)) #s(literal 1/4 binary64)) (-.f64 (.f64 (/.f64 x #s(literal 6 binary64)) x) #s(literal -1/2 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) #s(literal 27 binary64)) (.f64 (fma.f64 (.f64 (.f64 x x) x) x (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64))) #s(literal 6 binary64)))
(/.f64 (+.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) #s(literal 216 binary64)) #s(literal -1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 36 binary64)) (.f64 (.f64 (/.f64 x #s(literal 6 binary64)) x) #s(literal -1/2 binary64)))))
(/.f64 (+.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) #s(literal 216 binary64)) #s(literal -1/8 binary64)) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal -1/2 binary64) (.f64 (/.f64 x #s(literal 6 binary64)) x)) (/.f64 (.f64 (.f64 (*.f64 x x) x) x) #s(literal 36 binary64))))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -3 binary64))) #s(literal -6 binary64))
(/.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 6 binary64))
(neg.f64 (/.f64 (neg.f64 (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64)))
(neg.f64 (/.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal -6 binary64)))
(fma.f64 (neg.f64 x) (/.f64 (neg.f64 x) #s(literal 6 binary64)) #s(literal -1/2 binary64))
(fma.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) #s(literal 6 binary64)) #s(literal -1/2 binary64))
(fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64))
(fma.f64 x (/.f64 x #s(literal 6 binary64)) #s(literal -1/2 binary64))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 36 binary64)) (-.f64 (.f64 (/.f64 x #s(literal 6 binary64)) x) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (/.f64 x #s(literal 6 binary64)) x) #s(literal -1/2 binary64))))
(-.f64 (*.f64 (/.f64 x #s(literal 6 binary64)) x) #s(literal 1/2 binary64))
(-.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 (/.f64 x #s(literal 6 binary64))) x))
(-.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 x) (/.f64 x #s(literal 6 binary64))))
(+.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) #s(literal 216 binary64)) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal -1/2 binary64) (.f64 (/.f64 x #s(literal 6 binary64)) x)) (/.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 36 binary64)))) (/.f64 #s(literal -1/8 binary64) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal -1/2 binary64) (.f64 (/.f64 x #s(literal 6 binary64)) x)) (/.f64 (.f64 (.f64 (*.f64 x x) x) x) #s(literal 36 binary64)))))
(+.f64 (*.f64 (/.f64 x #s(literal 6 binary64)) x) #s(literal -1/2 binary64))
(+.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 x #s(literal 6 binary64)) x))
x
(/.f64 (neg.f64 (neg.f64 x)) #s(literal 6 binary64))
(/.f64 (neg.f64 x) #s(literal -6 binary64))
(/.f64 x #s(literal 6 binary64))
(neg.f64 (/.f64 (neg.f64 x) #s(literal 6 binary64)))
(neg.f64 (/.f64 x #s(literal -6 binary64)))
#s(literal 6 binary64)
#s(literal -1/2 binary64)
#s(approx (+ (* x (/ x 6)) -1/2) #s(literal -1/2 binary64))
#s(approx (+ (* x (/ x 6)) -1/2) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(.f64 (.f64 #s(literal 1/6 binary64) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 #s(literal 1/6 binary64) (fabs.f64 x)) (fabs.f64 x))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 1/6 binary64)))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(literal 1/6 binary64)))
(.f64 (.f64 #s(literal 1/6 binary64) x) x)
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 x (.f64 #s(literal 1/6 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 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
#s(literal 1/6 binary64)
(/.f64 (neg.f64 (neg.f64 #s(approx (- (* x x) 3) (*.f64 x x)))) #s(literal 6 binary64))
(/.f64 (neg.f64 #s(approx (- (* x x) 3) (*.f64 x x))) #s(literal -6 binary64))
(/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64))
(neg.f64 (/.f64 (neg.f64 #s(approx (- (* x x) 3) (*.f64 x x))) #s(literal 6 binary64)))
(neg.f64 (/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal -6 binary64)))
#s(approx (- (* x x) 3) (*.f64 x x))
#s(approx (+ (* x (/ x 6)) -1/2) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x))) (-.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) #s(literal -1/8 binary64))) (neg.f64 (-.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/4 binary64)) (.f64 (.f64 x x) #s(literal -1/12 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/216 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x))) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x) (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1/4 binary64)))))
(/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/4 binary64)) (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal 1/2 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 1/216 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x))) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x) (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1/4 binary64))))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) #s(literal -1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x)) (.f64 (*.f64 x x) #s(literal -1/12 binary64)))))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) #s(literal -1/8 binary64)) (-.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/4 binary64)) (.f64 (.f64 x x) #s(literal -1/12 binary64))))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (neg.f64 x)) (neg.f64 x) #s(literal -1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (fabs.f64 x)) (fabs.f64 x) #s(literal -1/2 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(fma.f64 x (*.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64))
(-.f64 (/.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x)) (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal 1/2 binary64))))
(-.f64 (/.f64 (.f64 #s(literal 1/216 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x))) (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x) (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x) (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1/4 binary64)))))
(-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(-.f64 #s(literal -1/2 binary64) (.f64 (.f64 (neg.f64 x) x) #s(literal 1/6 binary64)))
(-.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x x)))
(-.f64 #s(literal -1/2 binary64) (.f64 (neg.f64 x) (.f64 #s(literal 1/6 binary64) x)))
(+.f64 (/.f64 (.f64 #s(literal 1/216 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x))) (-.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/4 binary64)) (.f64 (.f64 x x) #s(literal -1/12 binary64)))) (/.f64 #s(literal -1/8 binary64) (-.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/4 binary64)) (.f64 (.f64 x x) #s(literal -1/12 binary64)))))
(+.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))
(+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (+ (* x (/ x 6)) -1/2) #s(literal -1/2 binary64))
#s(approx (+ (* x (/ x 6)) -1/2) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64)))
#s(approx x x)
#s(approx (/ x 6) (*.f64 #s(literal 1/6 binary64) x))
#s(approx (+ (* x (/ x 6)) -1/2) #s(literal -1/2 binary64))
#s(approx (+ (* x (/ x 6)) -1/2) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64)))
#s(approx (* (* x x) 1/6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (- (* x x) 3) #s(literal -3 binary64))
#s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64)))
#s(approx (+ (* (* x x) 1/6) -1/2) #s(literal -1/2 binary64))
#s(approx (+ (* (* x x) 1/6) -1/2) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64)))
#s(approx (+ (* x (/ x 6)) -1/2) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (+ (* x (/ x 6)) -1/2) (.f64 (.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x) x))
#s(approx (+ (* x (/ x 6)) -1/2) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (+ (* x (/ x 6)) -1/2) (.f64 (.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x) x))
#s(approx (- (* x x) 3) (*.f64 x x))
#s(approx (- (* x x) 3) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x x))) x) x))
#s(approx (+ (* (* x x) 1/6) -1/2) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (+ (* (* x x) 1/6) -1/2) (.f64 (.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x) x))

eval11.0ms (0.8%)

Memory: 25.1MiB live, 25.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 895 to 391 computations (56.3% saved)

prune9.0ms (0.6%)

Memory

-36.1MiB live, 9.4MiB allocated; 6ms collecting garbage

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	128	2	130
Fresh	0	0	0
Picked	1	4	5
Done	0	0	0
Total	129	6	135

Accuracy

100.0%

Counts

135 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 x (/.f64 x #s(literal 6 binary64)) #s(literal -1/2 binary64))
▶	99.9%	(fma.f64 x #s(approx (/ x 6) (*.f64 #s(literal 1/6 binary64) x)) #s(literal -1/2 binary64))
✓	48.7%	(/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64))
✓	48.7%	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
▶	48.7%	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 #s(literal 1/6 binary64) x) x))
✓	52.1%	#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

Compiler

Compiled 49 to 49 computations (0% saved)

series3.0ms (0.2%)

Memory

5.7MiB live, 5.7MiB allocated; 0ms collecting garbage

Counts

8 → 12

Calls

Call 1

Inputs
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 #s(literal 1/6 binary64) x) x))
(.f64 (.f64 #s(literal 1/6 binary64) x) x)
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
x
(fma.f64 x #s(approx (/ x 6) (*.f64 #s(literal 1/6 binary64) x)) #s(literal -1/2 binary64))
#s(approx (/ x 6) (*.f64 #s(literal 1/6 binary64) x))
#s(literal -1/2 binary64)

Outputs
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 -1/2))
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 (- (* 1/6 (pow x 2)) 1/2)))
#s(approx (* (* 1/6 x) x) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* 1/6 x) #s(hole binary64 (* 1/6 x)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* x (/ x 6)) -1/2) #s(hole binary64 -1/2))
#s(approx (+ (* x (/ x 6)) -1/2) #s(hole binary64 (- (* 1/6 (pow x 2)) 1/2)))
#s(approx (/ x 6) #s(hole binary64 (* 1/6 x)))
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* x (/ x 6)) -1/2) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (+ (* x (/ x 6)) -1/2) #s(hole binary64 (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))))

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	((/ (- (* x x) 3) 6) (* (* 1/6 x) x) (* 1/6 x) 1/6 x (+ (* x (/ x 6)) -1/2) (/ x 6) -1/2)
1.0ms	x	@	inf	((/ (- (* x x) 3) 6) (* (* 1/6 x) x) (* 1/6 x) 1/6 x (+ (* x (/ x 6)) -1/2) (/ x 6) -1/2)
1.0ms	x	@	0	((/ (- (* x x) 3) 6) (* (* 1/6 x) x) (* 1/6 x) 1/6 x (+ (* x (/ x 6)) -1/2) (/ x 6) -1/2)

Time

Variable

Point

Expression

1.0ms

-inf

((/ (- (* x x) 3) 6) (* (* 1/6 x) x) (* 1/6 x) 1/6 x (+ (* x (/ x 6)) -1/2) (/ x 6) -1/2)

1.0ms

inf

((/ (- (* x x) 3) 6) (* (* 1/6 x) x) (* 1/6 x) 1/6 x (+ (* x (/ x 6)) -1/2) (/ x 6) -1/2)

1.0ms

((/ (- (* x x) 3) 6) (* (* 1/6 x) x) (* 1/6 x) 1/6 x (+ (* x (/ x 6)) -1/2) (/ x 6) -1/2)

rewrite52.0ms (3.6%)

Memory

34.5MiB live, 80.9MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	185
0	45	181
1	158	181
0	1047	168

Stop Event

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

Counts

20 → 41

Calls

Call 1

Inputs
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 #s(literal 1/6 binary64) x) x))
(.f64 (.f64 #s(literal 1/6 binary64) x) x)
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
x
(fma.f64 x #s(approx (/ x 6) (*.f64 #s(literal 1/6 binary64) x)) #s(literal -1/2 binary64))
#s(approx (/ x 6) (*.f64 #s(literal 1/6 binary64) x))
#s(literal -1/2 binary64)
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 -1/2))
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 (- (* 1/6 (pow x 2)) 1/2)))
#s(approx (* (* 1/6 x) x) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* 1/6 x) #s(hole binary64 (* 1/6 x)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* x (/ x 6)) -1/2) #s(hole binary64 -1/2))
#s(approx (+ (* x (/ x 6)) -1/2) #s(hole binary64 (- (* 1/6 (pow x 2)) 1/2)))
#s(approx (/ x 6) #s(hole binary64 (* 1/6 x)))
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* x (/ x 6)) -1/2) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (+ (* x (/ x 6)) -1/2) #s(hole binary64 (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))))

Outputs
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(.f64 (.f64 #s(literal 1/6 binary64) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 #s(literal 1/6 binary64) (fabs.f64 x)) (fabs.f64 x))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 1/6 binary64)))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(literal 1/6 binary64)))
(.f64 (.f64 #s(literal 1/6 binary64) x) x)
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 x (.f64 #s(literal 1/6 binary64) x))
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 x #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
x
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 #s(approx (/ x 6) (.f64 #s(literal 1/6 binary64) x)) x) #s(approx (/ x 6) (.f64 #s(literal 1/6 binary64) x))) x)) (-.f64 #s(literal -1/2 binary64) (.f64 #s(approx (/ x 6) (*.f64 #s(literal 1/6 binary64) x)) x)))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 #s(approx (/ x 6) (.f64 #s(literal 1/6 binary64) x)) x) #s(approx (/ x 6) (.f64 #s(literal 1/6 binary64) x))) x #s(literal -1/4 binary64))) (neg.f64 (-.f64 (.f64 #s(approx (/ x 6) (.f64 #s(literal 1/6 binary64) x)) x) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 #s(approx (/ x 6) (.f64 #s(literal 1/6 binary64) x)) x) #s(literal 3 binary64)) #s(literal -1/8 binary64))) (neg.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal -1/2 binary64) (.f64 #s(approx (/ x 6) (.f64 #s(literal 1/6 binary64) x)) x)) (.f64 (.f64 (.f64 #s(approx (/ x 6) (.f64 #s(literal 1/6 binary64) x)) x) #s(approx (/ x 6) (*.f64 #s(literal 1/6 binary64) x))) x))))
(/.f64 (fma.f64 (.f64 (.f64 #s(approx (/ x 6) (.f64 #s(literal 1/6 binary64) x)) x) #s(approx (/ x 6) (.f64 #s(literal 1/6 binary64) x))) x #s(literal -1/4 binary64)) (-.f64 (.f64 #s(approx (/ x 6) (.f64 #s(literal 1/6 binary64) x)) x) #s(literal -1/2 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 #s(approx (/ x 6) (.f64 #s(literal 1/6 binary64) x)) x) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 (.f64 #s(approx (/ x 6) (.f64 #s(literal 1/6 binary64) x)) x) #s(approx (/ x 6) (.f64 #s(literal 1/6 binary64) x))) x) (.f64 #s(approx (/ x 6) (.f64 #s(literal 1/6 binary64) x)) (.f64 x #s(literal -1/2 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(approx (/ x 6) (.f64 #s(literal 1/6 binary64) x)) x) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal -1/2 binary64) (.f64 #s(approx (/ x 6) (.f64 #s(literal 1/6 binary64) x)) x)) (.f64 (.f64 (.f64 #s(approx (/ x 6) (.f64 #s(literal 1/6 binary64) x)) x) #s(approx (/ x 6) (*.f64 #s(literal 1/6 binary64) x))) x)))
(fma.f64 #s(approx (/ x 6) (*.f64 #s(literal 1/6 binary64) x)) x #s(literal -1/2 binary64))
(fma.f64 x #s(approx (/ x 6) (*.f64 #s(literal 1/6 binary64) x)) #s(literal -1/2 binary64))
(-.f64 (/.f64 (.f64 (.f64 (.f64 #s(approx (/ x 6) (.f64 #s(literal 1/6 binary64) x)) x) #s(approx (/ x 6) (.f64 #s(literal 1/6 binary64) x))) x) (-.f64 (.f64 #s(approx (/ x 6) (.f64 #s(literal 1/6 binary64) x)) x) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(approx (/ x 6) (*.f64 #s(literal 1/6 binary64) x)) x) #s(literal -1/2 binary64))))
(-.f64 #s(literal -1/2 binary64) (.f64 (neg.f64 #s(approx (/ x 6) (.f64 #s(literal 1/6 binary64) x))) x))
(-.f64 #s(literal -1/2 binary64) (.f64 (neg.f64 x) #s(approx (/ x 6) (.f64 #s(literal 1/6 binary64) x))))
(+.f64 (/.f64 (pow.f64 (.f64 #s(approx (/ x 6) (.f64 #s(literal 1/6 binary64) x)) x) #s(literal 3 binary64)) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal -1/2 binary64) (.f64 #s(approx (/ x 6) (.f64 #s(literal 1/6 binary64) x)) x)) (.f64 (.f64 (.f64 #s(approx (/ x 6) (.f64 #s(literal 1/6 binary64) x)) x) #s(approx (/ x 6) (.f64 #s(literal 1/6 binary64) x))) x))) (/.f64 #s(literal -1/8 binary64) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal -1/2 binary64) (.f64 #s(approx (/ x 6) (.f64 #s(literal 1/6 binary64) x)) x)) (.f64 (.f64 (.f64 #s(approx (/ x 6) (.f64 #s(literal 1/6 binary64) x)) x) #s(approx (/ x 6) (.f64 #s(literal 1/6 binary64) x))) x))))
(+.f64 (.f64 #s(approx (/ x 6) (.f64 #s(literal 1/6 binary64) x)) x) #s(literal -1/2 binary64))
(+.f64 #s(literal -1/2 binary64) (.f64 #s(approx (/ x 6) (.f64 #s(literal 1/6 binary64) x)) x))
#s(approx (/ x 6) (*.f64 #s(literal 1/6 binary64) x))
#s(literal -1/2 binary64)
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
#s(approx (* (* 1/6 x) x) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (* 1/6 x) (*.f64 #s(literal 1/6 binary64) x))
#s(approx x x)
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
#s(approx (/ x 6) (*.f64 #s(literal 1/6 binary64) x))
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x) x))
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x) x))

eval21.0ms (1.4%)

Memory: -27.6MiB live, 19.2MiB allocated; 15ms collecting garbage
Compiler: Compiled 291 to 102 computations (64.9% saved)

prune3.0ms (0.2%)

Memory

4.5MiB live, 4.5MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	28	0	28
Fresh	0	0	0
Picked	0	2	2
Done	0	4	4
Total	28	6	34

Accuracy

100.0%

Counts

34 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 x (/.f64 x #s(literal 6 binary64)) #s(literal -1/2 binary64))
✓	99.9%	(fma.f64 x #s(approx (/ x 6) (*.f64 #s(literal 1/6 binary64) x)) #s(literal -1/2 binary64))
✓	48.7%	(/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64))
✓	48.7%	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
✓	48.7%	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 #s(literal 1/6 binary64) x) x))
✓	52.1%	#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

Compiler

Compiled 89 to 77 computations (13.5% saved)

regimes10.0ms (0.7%)

Memory

14.4MiB live, 14.4MiB allocated; 0ms collecting garbage

Counts

8 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 #s(literal 1/6 binary64) x) x))
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64))
#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
(fma.f64 x #s(approx (/ x 6) (*.f64 #s(literal 1/6 binary64) x)) #s(literal -1/2 binary64))
(fma.f64 x (/.f64 x #s(literal 6 binary64)) #s(literal -1/2 binary64))
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))

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

Calls

4 calls:

3.0ms	x
3.0ms	(*.f64 x x)
2.0ms	(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
2.0ms	(-.f64 (*.f64 x x) #s(literal 3 binary64))

Results

Accuracy	Segments	Branch
100.0%	1	`(*.f64 x x)`
100.0%	1	`(-.f64 (*.f64 x x) #s(literal 3 binary64))`
100.0%	1	`(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))`
100.0%	1	`x`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes13.0ms (0.9%)

Memory

-32.0MiB live, 14.0MiB allocated; 7ms collecting garbage

Counts

6 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 #s(literal 1/6 binary64) x) x))
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64))
#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
(fma.f64 x #s(approx (/ x 6) (*.f64 #s(literal 1/6 binary64) x)) #s(literal -1/2 binary64))

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

Calls

4 calls:

7.0ms	(*.f64 x x)
2.0ms	x
2.0ms	(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
2.0ms	(-.f64 (*.f64 x x) #s(literal 3 binary64))

Results

Accuracy	Segments	Branch
99.9%	1	`(*.f64 x x)`
99.9%	1	`(-.f64 (*.f64 x x) #s(literal 3 binary64))`
99.9%	1	`(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))`
99.9%	1	`x`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes7.0ms (0.5%)

Memory

14.1MiB live, 14.1MiB allocated; 0ms collecting garbage

Counts

5 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 #s(literal 1/6 binary64) x) x))
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64))
#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))

Outputs
#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))

Calls

4 calls:

2.0ms	x
2.0ms	(*.f64 x x)
2.0ms	(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
1.0ms	(-.f64 (*.f64 x x) #s(literal 3 binary64))

Results

Accuracy	Segments	Branch
99.9%	1	`(*.f64 x x)`
99.9%	1	`(-.f64 (*.f64 x x) #s(literal 3 binary64))`
99.9%	1	`(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))`
99.9%	1	`x`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes6.0ms (0.4%)

Memory

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

Counts

4 → 2

Calls

Call 1

Inputs
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 #s(literal 1/6 binary64) x) x))
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64))

Outputs
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
(/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64))

Calls

4 calls:

2.0ms	x
2.0ms	(*.f64 x x)
1.0ms	(-.f64 (*.f64 x x) #s(literal 3 binary64))
1.0ms	(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))

Results

Accuracy	Segments	Branch
99.1%	2	`(*.f64 x x)`
99.1%	2	`(-.f64 (*.f64 x x) #s(literal 3 binary64))`
99.1%	2	`(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))`
99.1%	2	`x`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes6.0ms (0.4%)

Memory

12.7MiB live, 12.7MiB allocated; 0ms collecting garbage

Counts

3 → 2

Calls

Call 1

Inputs

#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

#s(approx (/ (- (* x x) 3) 6) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x))

#s(approx (/ (- (* x x) 3) 6) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))

Outputs
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 #s(literal 1/6 binary64) x) x))

Calls

4 calls:

1.0ms	x
1.0ms	(*.f64 x x)
1.0ms	(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
1.0ms	(-.f64 (*.f64 x x) #s(literal 3 binary64))

Results

Accuracy	Segments	Branch
99.1%	2	`(*.f64 x x)`
99.1%	2	`(-.f64 (*.f64 x x) #s(literal 3 binary64))`
99.1%	2	`(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))`
99.1%	2	`x`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes5.0ms (0.4%)

Memory

-37.8MiB live, 9.0MiB allocated; 2ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

Outputs
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

Calls

4 calls:

2.0ms	(*.f64 x x)
1.0ms	x
1.0ms	(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
1.0ms	(-.f64 (*.f64 x x) #s(literal 3 binary64))

Results

Accuracy	Segments	Branch
52.1%	1	`(*.f64 x x)`
52.1%	1	`(-.f64 (*.f64 x x) #s(literal 3 binary64))`
52.1%	1	`(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))`
52.1%	1	`x`

Compiler

Compiled 13 to 13 computations (0% saved)

bsearch9.0ms (0.6%)

Memory

12.5MiB live, 12.5MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
8.0ms	0.014210951820443934	278.74315824015366

Samples

4.0ms

128×

valid

Compiler

Compiled 138 to 154 computations (-11.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-mult!: 1.0ms (64% of total)

ival-div!: 1.0ms (64% of total)

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

adjust: 0.0ms (0% of total)

bsearch1.0ms (0.1%)

Memory

1.3MiB live, 1.3MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.014210951820443934	278.74315824015366

Compiler

Compiled 154 to 170 computations (-10.4% saved)

derivations22.0ms (1.5%)

Memory

26.7MiB live, 26.7MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 39 to 27 computations (30.8% saved)

preprocess78.0ms (5.3%)

Memory: -31.3MiB live, 115.5MiB allocated; 51ms collecting garbage
Remove: (abs x)
Compiler: Compiled 179 to 157 computations (12.3% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample708.0ms (48.2%)

preprocess357.0ms (24.3%)

series3.0ms (0.2%)

rewrite51.0ms (3.5%)

eval22.0ms (1.5%)

prune3.0ms (0.2%)

series4.0ms (0.3%)

rewrite63.0ms (4.3%)

eval11.0ms (0.8%)

prune9.0ms (0.6%)

series3.0ms (0.2%)

rewrite52.0ms (3.6%)

eval21.0ms (1.4%)

prune3.0ms (0.2%)

regimes10.0ms (0.7%)

regimes13.0ms (0.9%)

regimes7.0ms (0.5%)

regimes6.0ms (0.4%)

regimes6.0ms (0.4%)

regimes5.0ms (0.4%)

bsearch9.0ms (0.6%)

bsearch1.0ms (0.1%)

derivations22.0ms (1.5%)

preprocess78.0ms (5.3%)

end0.0ms (0%)

Profiling