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)

sample886.0ms (61.6%)

Memory

43.7MiB live, 1 040.4MiB allocated; 410ms collecting garbage

Samples

532.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 259.0ms

ival-mult!: 177.0ms (68.4% of total)

ival-sub!: 41.0ms (15.9% of total)

ival-div!: 40.0ms (15.5% of total)

adjust: 2.0ms (0.8% of total)

Bogosity

explain92.0ms (6.4%)

Memory

26.2MiB live, 211.9MiB allocated; 43ms collecting garbage

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`#s(literal 6 binary64)`
-	-	`#s(literal 3 binary64)`
-	-	`(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))`
-	-	`(*.f64 x x)`
-	-	`(-.f64 (*.f64 x x) #s(literal 3 binary64))`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

37.0ms

512×

valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-mult!: 12.0ms (47.8% of total)

ival-sub!: 10.0ms (39.9% of total)

ival-div!: 2.0ms (8% of total)

adjust: 0.0ms (0% of total)

preprocess12.0ms (0.8%)

Memory

-28.2MiB live, 18.6MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	21
1	30	21
2	58	21
3	90	21
4	135	21
5	145	21
6	149	21
7	152	21

Stop Event

1×

saturated

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 14 to 12 computations (14.3% saved)

series3.0ms (0.2%)

Memory

7.4MiB live, 7.3MiB 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	@	0	((/ (- (* 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)

rewrite72.0ms (5%)

Memory

23.8MiB live, 78.2MiB allocated; 19ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	132
0	40	128
1	142	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 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (*.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64)) (*.f64 (fma.f64 #s(literal 3 binary64) (fma.f64 x x #s(literal 3 binary64)) (pow.f64 x #s(literal 4 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 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) (neg.f64 (fma.f64 x x #s(literal 3 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64))) (neg.f64 (fma.f64 #s(literal 3 binary64) (fma.f64 x x #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (fma.f64 x x #s(literal 3 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64)) (fma.f64 #s(literal 3 binary64) (fma.f64 x x #s(literal 3 binary64)) (pow.f64 x #s(literal 4 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 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 3 binary64))) (/.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 3 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 3 binary64) (fma.f64 x x #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 27 binary64) (fma.f64 #s(literal 3 binary64) (fma.f64 x x #s(literal 3 binary64)) (pow.f64 x #s(literal 4 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 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/2 binary64) #s(literal 1/6 binary64)) x) x))
#s(approx (- (* x x) 3) (*.f64 x x))
#s(approx (- (* x x) 3) (.f64 (.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) x) x))

eval8.0ms (0.6%)

Memory: -31.2MiB live, 18.2MiB allocated; 2ms collecting garbage
Compiler: Compiled 654 to 189 computations (71.1% saved)

prune4.0ms (0.3%)

Memory

9.9MiB live, 10.0MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	55	6	61
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	56	6	62

Accuracy

100.0%

Counts

62 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 x (/.f64 x #s(literal 6 binary64)) #s(literal -1/2 binary64))
	99.9%	(/.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 6 binary64))
▶	50.7%	(/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64))
▶	99.8%	#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
▶	50.6%	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
▶	49.2%	#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

Compiler

Compiled 118 to 94 computations (20.3% saved)

series4.0ms (0.3%)

Memory

10.4MiB live, 10.4MiB 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)
#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))
(/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64))
#s(approx (- (* x x) 3) (*.f64 x x))

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

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

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

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

rewrite56.0ms (3.9%)

Memory

-24.5MiB live, 69.8MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	323
0	66	315
1	210	305
0	1265	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)
#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))
(/.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) #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) 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) 3) #s(hole binary64 -3))
#s(approx (- (* x x) 3) #s(hole binary64 (- (pow x 2) 3)))
#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) 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)))))))
#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 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64))) (-.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 x #s(literal 6 binary64)) x)))
(/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 216 binary64)) #s(literal 1/8 binary64)) (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #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 (pow.f64 x #s(literal 4 binary64)) #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 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 216 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 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal 18 binary64)) #s(literal 36 binary64))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (*.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64)))
(/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #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 (pow.f64 x #s(literal 4 binary64)) #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 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64)) (*.f64 (fma.f64 #s(literal 3 binary64) (fma.f64 x x #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 6 binary64)))
(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 216 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64)) (.f64 (.f64 (/.f64 x #s(literal 6 binary64)) x) #s(literal -1/2 binary64)))))
(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) #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 (pow.f64 x #s(literal 4 binary64)) #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 (pow.f64 x #s(literal 4 binary64)) #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 (pow.f64 x #s(literal 6 binary64)) #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 (pow.f64 x #s(literal 4 binary64)) #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 (pow.f64 x #s(literal 4 binary64)) #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)
#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) (pow.f64 x #s(literal 4 binary64)))) (-.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) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal -1/12 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) #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) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1/4 binary64)))))
(/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) #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) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1/4 binary64))))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (*.f64 x x) #s(literal -1/12 binary64)))))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #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) (pow.f64 x #s(literal 4 binary64))) (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) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (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) (pow.f64 x #s(literal 4 binary64)) (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) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal -1/12 binary64))))) (/.f64 #s(literal -1/8 binary64) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #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)))
(/.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) #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) 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) 3) #s(literal -3 binary64))
#s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 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 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/2 binary64) #s(literal 1/6 binary64)) 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 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/2 binary64) #s(literal 1/6 binary64)) 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 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/2 binary64) #s(literal 1/6 binary64)) x) x))
#s(approx (- (* x x) 3) (*.f64 x x))
#s(approx (- (* x x) 3) (.f64 (.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) x) x))

eval15.0ms (1.1%)

Memory: 39.3MiB live, 39.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 2 348 to 403 computations (82.8% saved)

prune12.0ms (0.8%)

Memory

-26.1MiB live, 23.0MiB allocated; 4ms collecting garbage

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	156	2	158
Fresh	0	1	1
Picked	1	4	5
Done	0	0	0
Total	157	7	164

Accuracy

100.0%

Counts

164 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(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))
▶	99.9%	(/.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 6 binary64))
✓	50.7%	(/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64))
✓	50.6%	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
▶	50.6%	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 #s(literal 1/6 binary64) x) x))
✓	49.2%	#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

Compiler

Compiled 68 to 54 computations (20.6% saved)

series3.0ms (0.2%)

Memory

8.1MiB live, 8.1MiB allocated; 0ms collecting garbage

Counts

12 → 20

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

rewrite60.0ms (4.2%)

Memory

-17.8MiB live, 76.5MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	293
0	64	289
1	213	275
0	1425	268

Stop Event

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

Counts

32 → 103

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

eval11.0ms (0.7%)

Memory: 28.2MiB live, 28.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 534 to 289 computations (81.2% saved)

prune7.0ms (0.5%)

Memory

-31.1MiB live, 16.2MiB allocated; 2ms collecting garbage

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	106	1	107
Fresh	0	0	0
Picked	0	3	3
Done	0	4	4
Total	106	8	114

Accuracy

100.0%

Counts

114 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(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))
▶	99.9%	(/.f64 (fma.f64 (*.f64 x x) #s(literal 6 binary64) #s(literal -18 binary64)) #s(literal 36 binary64))
✓	99.9%	(/.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 6 binary64))
✓	50.7%	(/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64))
✓	50.6%	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
✓	50.6%	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 #s(literal 1/6 binary64) x) x))
✓	49.2%	#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

Compiler

Compiled 76 to 61 computations (19.7% saved)

series2.0ms (0.2%)

Memory

6.0MiB live, 6.0MiB allocated; 0ms collecting garbage

Counts

7 → 10

Calls

Call 1

Inputs
(/.f64 (fma.f64 (*.f64 x x) #s(literal 6 binary64) #s(literal -18 binary64)) #s(literal 36 binary64))
(fma.f64 (*.f64 x x) #s(literal 6 binary64) #s(literal -18 binary64))
(*.f64 x x)
x
#s(literal 6 binary64)
#s(literal -18 binary64)
#s(literal 36 binary64)

Outputs
#s(approx (/ (+ (* (* x x) 6) -18) 36) #s(hole binary64 -1/2))
#s(approx (/ (+ (* (* x x) 6) -18) 36) #s(hole binary64 (- (* 1/6 (pow x 2)) 1/2)))
#s(approx (+ (* (* x x) 6) -18) #s(hole binary64 -18))
#s(approx (+ (* (* x x) 6) -18) #s(hole binary64 (- (* 6 (pow x 2)) 18)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (/ (+ (* (* x x) 6) -18) 36) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (/ (+ (* (* x x) 6) -18) 36) #s(hole binary64 (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* x x) 6) -18) #s(hole binary64 (* 6 (pow x 2))))
#s(approx (+ (* (* x x) 6) -18) #s(hole binary64 (* (pow x 2) (- 6 (* 18 (/ 1 (pow x 2)))))))

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	((/ (+ (* (* x x) 6) -18) 36) (+ (* (* x x) 6) -18) (* x x) x 6 -18 36)
1.0ms	x	@	-inf	((/ (+ (* (* x x) 6) -18) 36) (+ (* (* x x) 6) -18) (* x x) x 6 -18 36)
1.0ms	x	@	0	((/ (+ (* (* x x) 6) -18) 36) (+ (* (* x x) 6) -18) (* x x) x 6 -18 36)

Time

Variable

Point

Expression

1.0ms

inf

((/ (+ (* (* x x) 6) -18) 36) (+ (* (* x x) 6) -18) (* x x) x 6 -18 36)

1.0ms

-inf

((/ (+ (* (* x x) 6) -18) 36) (+ (* (* x x) 6) -18) (* x x) x 6 -18 36)

1.0ms

((/ (+ (* (* x x) 6) -18) 36) (+ (* (* x x) 6) -18) (* x x) x 6 -18 36)

rewrite54.0ms (3.8%)

Memory

37.8MiB live, 87.1MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	147
0	42	143
1	168	137
0	1074	129

Stop Event

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

Counts

17 → 87

Calls

Call 1

Inputs
(/.f64 (fma.f64 (*.f64 x x) #s(literal 6 binary64) #s(literal -18 binary64)) #s(literal 36 binary64))
(fma.f64 (*.f64 x x) #s(literal 6 binary64) #s(literal -18 binary64))
(*.f64 x x)
x
#s(literal 6 binary64)
#s(literal -18 binary64)
#s(literal 36 binary64)
#s(approx (/ (+ (* (* x x) 6) -18) 36) #s(hole binary64 -1/2))
#s(approx (/ (+ (* (* x x) 6) -18) 36) #s(hole binary64 (- (* 1/6 (pow x 2)) 1/2)))
#s(approx (+ (* (* x x) 6) -18) #s(hole binary64 -18))
#s(approx (+ (* (* x x) 6) -18) #s(hole binary64 (- (* 6 (pow x 2)) 18)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (/ (+ (* (* x x) 6) -18) 36) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (/ (+ (* (* x x) 6) -18) 36) #s(hole binary64 (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* x x) 6) -18) #s(hole binary64 (* 6 (pow x 2))))
#s(approx (+ (* (* x x) 6) -18) #s(hole binary64 (* (pow x 2) (- 6 (* 18 (/ 1 (pow x 2)))))))

Outputs
(/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 6 binary64) x) x #s(literal -18 binary64)) #s(literal 6 binary64)) #s(literal 6 binary64))
(/.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 1/216 binary64) #s(literal -1/8 binary64)) (+.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1/4 binary64)) (pow.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 6 binary64) x) x #s(literal -18 binary64)))) #s(literal 36 binary64))
(/.f64 (fma.f64 (.f64 (.f64 #s(literal 6 binary64) x) x) #s(literal 36 binary64) #s(literal -648 binary64)) #s(literal 1296 binary64))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal 6 binary64) x) x) #s(literal 2 binary64)) #s(literal 324 binary64)) (.f64 (fma.f64 (.f64 x x) #s(literal 6 binary64) #s(literal 18 binary64)) #s(literal 36 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1/4 binary64)) (pow.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 2 binary64))))
(/.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 216 binary64) #s(literal -5832 binary64)) (.f64 (+.f64 (-.f64 #s(literal 324 binary64) (.f64 (.f64 x x) #s(literal -108 binary64))) (pow.f64 (.f64 (.f64 #s(literal 6 binary64) x) x) #s(literal 2 binary64))) #s(literal 36 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 6 binary64) x) x #s(literal -18 binary64))) #s(literal -36 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 6 binary64) x) x #s(literal -18 binary64)) #s(literal 36 binary64))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 6 binary64) x) x #s(literal -18 binary64))) #s(literal 36 binary64)))
(neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 6 binary64) x) x #s(literal -18 binary64)) #s(literal -36 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 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64))
(fma.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 1 binary64) #s(literal -1/2 binary64))
(fma.f64 (/.f64 x #s(literal 6 binary64)) (/.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 6 binary64)) #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 #s(literal 1 binary64) (/.f64 (*.f64 x x) #s(literal 6 binary64)) #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 #s(literal 6 binary64) (/.f64 (*.f64 x x) #s(literal 36 binary64)) #s(literal -1/2 binary64))
(fma.f64 x (/.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 36 binary64)) #s(literal -1/2 binary64))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (+.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1/4 binary64)) (pow.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1/8 binary64) (+.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1/4 binary64)) (pow.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 2 binary64)))))
(-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 1/2 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)))
(/.f64 (-.f64 #s(literal 324 binary64) (pow.f64 (.f64 (.f64 #s(literal 6 binary64) x) x) #s(literal 2 binary64))) (-.f64 #s(literal -18 binary64) (.f64 (.f64 #s(literal 6 binary64) x) x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 216 binary64) #s(literal -5832 binary64))) (neg.f64 (+.f64 (-.f64 #s(literal 324 binary64) (.f64 (.f64 x x) #s(literal -108 binary64))) (pow.f64 (.f64 (*.f64 #s(literal 6 binary64) x) x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal 6 binary64) x) x) #s(literal 2 binary64)) #s(literal 324 binary64))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 6 binary64) #s(literal 18 binary64))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 216 binary64)) #s(literal 5832 binary64))) (neg.f64 (+.f64 (fma.f64 (.f64 x x) #s(literal 108 binary64) #s(literal 324 binary64)) (pow.f64 (.f64 (*.f64 #s(literal 6 binary64) x) x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal 6 binary64) x) x) #s(literal 2 binary64)) #s(literal 324 binary64)) (fma.f64 (*.f64 x x) #s(literal 6 binary64) #s(literal 18 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 216 binary64)) #s(literal 5832 binary64)) (+.f64 (fma.f64 (.f64 x x) #s(literal 108 binary64) #s(literal 324 binary64)) (pow.f64 (.f64 (*.f64 #s(literal 6 binary64) x) x) #s(literal 2 binary64))))
(/.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 216 binary64) #s(literal -5832 binary64)) (+.f64 #s(literal 324 binary64) (-.f64 (pow.f64 (.f64 (.f64 #s(literal 6 binary64) x) x) #s(literal 2 binary64)) (.f64 (*.f64 x x) #s(literal -108 binary64)))))
(/.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 216 binary64) #s(literal -5832 binary64)) (+.f64 (-.f64 #s(literal 324 binary64) (.f64 (.f64 x x) #s(literal -108 binary64))) (pow.f64 (.f64 (*.f64 #s(literal 6 binary64) x) x) #s(literal 2 binary64))))
(fma.f64 (*.f64 #s(literal 6 binary64) (neg.f64 x)) (neg.f64 x) #s(literal -18 binary64))
(fma.f64 (*.f64 #s(literal 6 binary64) (fabs.f64 x)) (fabs.f64 x) #s(literal -18 binary64))
(fma.f64 (*.f64 #s(literal 6 binary64) x) x #s(literal -18 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 6 binary64)) #s(literal -18 binary64))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 6 binary64)) #s(literal -18 binary64))
(fma.f64 (*.f64 x x) #s(literal 6 binary64) #s(literal -18 binary64))
(fma.f64 #s(literal 6 binary64) (*.f64 x x) #s(literal -18 binary64))
(fma.f64 x (*.f64 #s(literal 6 binary64) x) #s(literal -18 binary64))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal 6 binary64) x) x) #s(literal 2 binary64)) (fma.f64 (.f64 x x) #s(literal 6 binary64) #s(literal 18 binary64))) (/.f64 #s(literal 324 binary64) (fma.f64 (.f64 x x) #s(literal 6 binary64) #s(literal 18 binary64))))
(-.f64 (/.f64 (.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 216 binary64)) (+.f64 (fma.f64 (.f64 x x) #s(literal 108 binary64) #s(literal 324 binary64)) (pow.f64 (.f64 (.f64 #s(literal 6 binary64) x) x) #s(literal 2 binary64)))) (/.f64 #s(literal 5832 binary64) (+.f64 (fma.f64 (.f64 x x) #s(literal 108 binary64) #s(literal 324 binary64)) (pow.f64 (.f64 (.f64 #s(literal 6 binary64) x) x) #s(literal 2 binary64)))))
(-.f64 (.f64 (.f64 #s(literal 6 binary64) x) x) #s(literal 18 binary64))
(-.f64 #s(literal -18 binary64) (.f64 (.f64 (neg.f64 x) x) #s(literal 6 binary64)))
(-.f64 #s(literal -18 binary64) (.f64 #s(literal -6 binary64) (.f64 x x)))
(-.f64 #s(literal -18 binary64) (.f64 (neg.f64 x) (.f64 #s(literal 6 binary64) x)))
(+.f64 (/.f64 (.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 216 binary64)) (+.f64 (-.f64 #s(literal 324 binary64) (.f64 (.f64 x x) #s(literal -108 binary64))) (pow.f64 (.f64 (.f64 #s(literal 6 binary64) x) x) #s(literal 2 binary64)))) (/.f64 #s(literal -5832 binary64) (+.f64 (-.f64 #s(literal 324 binary64) (.f64 (.f64 x x) #s(literal -108 binary64))) (pow.f64 (.f64 (.f64 #s(literal 6 binary64) x) x) #s(literal 2 binary64)))))
(+.f64 (.f64 (.f64 #s(literal 6 binary64) x) x) #s(literal -18 binary64))
(+.f64 #s(literal -18 binary64) (.f64 (.f64 #s(literal 6 binary64) x) 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))))
x
#s(literal 6 binary64)
#s(literal -18 binary64)
#s(literal 36 binary64)
#s(approx (/ (+ (* (* x x) 6) -18) 36) #s(literal -1/2 binary64))
#s(approx (/ (+ (* (* x x) 6) -18) 36) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
#s(approx (+ (* (* x x) 6) -18) #s(literal -18 binary64))
#s(approx (+ (* (* x x) 6) -18) (fma.f64 (*.f64 #s(literal 6 binary64) x) x #s(literal -18 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx x x)
#s(approx (/ (+ (* (* x x) 6) -18) 36) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (/ (+ (* (* x x) 6) -18) 36) (.f64 (.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/2 binary64) #s(literal 1/6 binary64)) x) x))
#s(approx (+ (* (* x x) 6) -18) (.f64 (.f64 #s(literal 6 binary64) x) x))
#s(approx (+ (* (* x x) 6) -18) (.f64 (.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -18 binary64) #s(literal 6 binary64)) x) x))

eval12.0ms (0.8%)

Memory: -20.4MiB live, 26.8MiB allocated; 2ms collecting garbage
Compiler: Compiled 1 192 to 277 computations (76.8% saved)

prune6.0ms (0.4%)

Memory

15.2MiB live, 15.2MiB allocated; 0ms collecting garbage

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	88	1	89
Fresh	0	0	0
Picked	1	0	1
Done	0	7	7
Total	89	8	97

Accuracy

100.0%

Counts

97 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(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))
✓	99.9%	(/.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 6 binary64))
✓	50.7%	(/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64))
	50.6%	(/.f64 #s(approx (+ (* (* x x) 6) -18) (.f64 (.f64 #s(literal 6 binary64) x) x)) #s(literal 36 binary64))
✓	50.6%	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
✓	50.6%	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 #s(literal 1/6 binary64) x) x))
✓	49.2%	#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

Compiler

Compiled 195 to 108 computations (44.6% saved)

regimes13.0ms (0.9%)

Memory

-14.6MiB live, 32.5MiB allocated; 2ms collecting garbage

Counts

11 → 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)))
#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))
(/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64))
(/.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 6 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))
(/.f64 #s(approx (+ (* (* x x) 6) -18) (.f64 (.f64 #s(literal 6 binary64) x) x)) #s(literal 36 binary64))
(/.f64 (fma.f64 (*.f64 x x) #s(literal 6 binary64) #s(literal -18 binary64)) #s(literal 36 binary64))

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

Calls

4 calls:

4.0ms	x
3.0ms	(*.f64 x x)
3.0ms	(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
3.0ms	(-.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 16 to 13 computations (18.8% saved)

regimes10.0ms (0.7%)

Memory

-23.6MiB live, 23.8MiB allocated; 1ms collecting garbage

Counts

7 → 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)))
#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))
(/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64))
(/.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 6 binary64))

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

Calls

4 calls:

3.0ms	(*.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 16 to 13 computations (18.8% saved)

regimes7.0ms (0.5%)

Memory

18.0MiB live, 18.0MiB allocated; 0ms collecting garbage

Counts

4 → 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)))
#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)
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
99.8%	1	`(*.f64 x x)`
99.8%	1	`(-.f64 (*.f64 x x) #s(literal 3 binary64))`
99.8%	1	`(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))`
99.8%	1	`x`

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes6.0ms (0.4%)

Memory

16.1MiB live, 16.1MiB 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:

2.0ms	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
98.1%	2	`(*.f64 x x)`
98.1%	2	`(-.f64 (*.f64 x x) #s(literal 3 binary64))`
98.1%	2	`(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))`
98.1%	2	`x`

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes4.0ms (0.3%)

Memory

11.7MiB live, 11.7MiB allocated; 0ms 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:

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
49.2%	1	`(*.f64 x x)`
49.2%	1	`(-.f64 (*.f64 x x) #s(literal 3 binary64))`
49.2%	1	`(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))`
49.2%	1	`x`

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch31.0ms (2.2%)

Memory

-24.7MiB live, 22.5MiB allocated; 25ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
8.0ms	0.4737009676466461	20.88000716353796

Samples

4.0ms

112×

valid

Compiler

Compiled 164 to 150 computations (8.5% saved)

Precisions

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

ival-mult!: 1.0ms (64.8% of total)

ival-div!: 1.0ms (64.8% of total)

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

adjust: 0.0ms (0% of total)

derivations22.0ms (1.5%)

Memory

-14.6MiB live, 34.7MiB allocated; 5ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 65 to 24 computations (63.1% saved)

preprocess27.0ms (1.9%)

Memory: 17.1MiB live, 63.9MiB allocated; 2ms collecting garbage
Remove: (abs x)
Compiler: Compiled 274 to 154 computations (43.8% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample886.0ms (61.6%)

explain92.0ms (6.4%)

preprocess12.0ms (0.8%)

series3.0ms (0.2%)

rewrite72.0ms (5%)

eval8.0ms (0.6%)

prune4.0ms (0.3%)

series4.0ms (0.3%)

rewrite56.0ms (3.9%)

eval15.0ms (1.1%)

prune12.0ms (0.8%)

series3.0ms (0.2%)

rewrite60.0ms (4.2%)

eval11.0ms (0.7%)

prune7.0ms (0.5%)

series2.0ms (0.2%)

rewrite54.0ms (3.8%)

eval12.0ms (0.8%)

prune6.0ms (0.4%)

regimes13.0ms (0.9%)

regimes10.0ms (0.7%)

regimes7.0ms (0.5%)

regimes6.0ms (0.4%)

regimes4.0ms (0.3%)

bsearch31.0ms (2.2%)

derivations22.0ms (1.5%)

preprocess27.0ms (1.9%)

end0.0ms (0%)

Profiling