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

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB 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)

sample605.0ms (46.6%)

Memory

-2.1MiB live, 665.1MiB allocated; 179ms collecting garbage

Samples

416.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 118.0ms

ival-mult!: 48.0ms (40.6% of total)

ival-div!: 44.0ms (37.2% of total)

ival-sub!: 24.0ms (20.3% of total)

adjust: 2.0ms (1.7% of total)

Bogosity

explain77.0ms (5.9%)

Memory

1.8MiB live, 92.2MiB allocated; 9ms 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

19.0ms

512×

valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-mult!: 3.0ms (42.6% of total)

ival-div!: 2.0ms (28.4% of total)

ival-sub!: 1.0ms (14.2% of total)

adjust: 0.0ms (0% of total)

preprocess10.0ms (0.7%)

Memory

10.4MiB live, 10.4MiB allocated; 0ms 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

3.0MiB live, 3.0MiB 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)

rewrite95.0ms (7.3%)

Memory

-11.7MiB live, 84.5MiB allocated; 13ms 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))

eval5.0ms (0.4%)

Memory: 11.7MiB live, 11.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 606 to 187 computations (69.1% saved)

prune8.0ms (0.6%)

Memory

-31.2MiB live, 11.4MiB allocated; 6ms collecting garbage

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	46	8	54
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	47	8	55

Accuracy

100.0%

Counts

55 → 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))
▶	65.7%	(/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (fma.f64 x x #s(literal 3 binary64))) #s(literal 6 binary64))
	65.7%	(/.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)))
▶	99.8%	(/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal 18 binary64)) #s(literal 36 binary64))
▶	50.9%	(/.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)))
	50.8%	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
▶	48.3%	#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

Compiler

Compiled 172 to 140 computations (18.6% saved)

series8.0ms (0.6%)

Memory

20.6MiB live, 20.6MiB allocated; 0ms collecting garbage

Counts

22 → 41

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))
(/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64))
#s(approx (- (* x x) 3) (*.f64 x x))
(*.f64 x x)
(/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal 18 binary64)) #s(literal 36 binary64))
(-.f64 (.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal 18 binary64))
(.f64 (.f64 x x) #s(literal 6 binary64))
#s(literal 18 binary64)
#s(literal 36 binary64)
(/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (fma.f64 x x #s(literal 3 binary64))) #s(literal 6 binary64))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (fma.f64 x x #s(literal 3 binary64)))
(-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 9 binary64)
(fma.f64 x x #s(literal 3 binary64))
#s(literal 3 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) 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 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) 6) #s(hole binary64 (* 6 (pow x 2))))
#s(approx (/ (/ (- (pow x 4) 9) (+ (* x x) 3)) 6) #s(hole binary64 -1/2))
#s(approx (/ (/ (- (pow x 4) 9) (+ (* x x) 3)) 6) #s(hole binary64 (- (* 1/6 (pow x 2)) 1/2)))
#s(approx (/ (- (pow x 4) 9) (+ (* x x) 3)) #s(hole binary64 -3))
#s(approx (/ (- (pow x 4) 9) (+ (* x x) 3)) #s(hole binary64 (- (pow x 2) 3)))
#s(approx (- (pow x 4) 9) #s(hole binary64 -9))
#s(approx (- (pow x 4) 9) #s(hole binary64 (- (pow x 4) 9)))
#s(approx (pow x 4) #s(hole binary64 (pow x 4)))
#s(approx (+ (* x x) 3) #s(hole binary64 3))
#s(approx (+ (* x x) 3) #s(hole binary64 (+ 3 (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)))))))
#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) 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)))))))
#s(approx (/ (/ (- (pow x 4) 9) (+ (* x x) 3)) 6) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (/ (/ (- (pow x 4) 9) (+ (* x x) 3)) 6) #s(hole binary64 (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (/ (- (pow x 4) 9) (+ (* x x) 3)) #s(hole binary64 (pow x 2)))
#s(approx (/ (- (pow x 4) 9) (+ (* x x) 3)) #s(hole binary64 (* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))))
#s(approx (- (pow x 4) 9) #s(hole binary64 (pow x 4)))
#s(approx (- (pow x 4) 9) #s(hole binary64 (* (pow x 4) (- 1 (* 9 (/ 1 (pow x 4)))))))
#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
3.0ms	x	@	inf	((+ (* x (/ x 6)) -1/2) x (/ x 6) 6 -1/2 (/ (- (* x x) 3) 6) (/ (- (* x x) 3) 6) (- (* x x) 3) (* x x) (/ (- (* (* x x) 6) 18) 36) (- (* (* x x) 6) 18) (* (* x x) 6) 18 36 (/ (/ (- (pow x 4) 9) (+ (* x x) 3)) 6) (/ (- (pow x 4) 9) (+ (* x x) 3)) (- (pow x 4) 9) (pow x 4) 4 9 (+ (* x x) 3) 3)
2.0ms	x	@	-inf	((+ (* x (/ x 6)) -1/2) x (/ x 6) 6 -1/2 (/ (- (* x x) 3) 6) (/ (- (* x x) 3) 6) (- (* x x) 3) (* x x) (/ (- (* (* x x) 6) 18) 36) (- (* (* x x) 6) 18) (* (* x x) 6) 18 36 (/ (/ (- (pow x 4) 9) (+ (* x x) 3)) 6) (/ (- (pow x 4) 9) (+ (* x x) 3)) (- (pow x 4) 9) (pow x 4) 4 9 (+ (* x x) 3) 3)
2.0ms	x	@	0	((+ (* x (/ x 6)) -1/2) x (/ x 6) 6 -1/2 (/ (- (* x x) 3) 6) (/ (- (* x x) 3) 6) (- (* x x) 3) (* x x) (/ (- (* (* x x) 6) 18) 36) (- (* (* x x) 6) 18) (* (* x x) 6) 18 36 (/ (/ (- (pow x 4) 9) (+ (* x x) 3)) 6) (/ (- (pow x 4) 9) (+ (* x x) 3)) (- (pow x 4) 9) (pow x 4) 4 9 (+ (* x x) 3) 3)

Time

Variable

Point

Expression

3.0ms

inf

((+ (* x (/ x 6)) -1/2) x (/ x 6) 6 -1/2 (/ (- (* x x) 3) 6) (/ (- (* x x) 3) 6) (- (* x x) 3) (* x x) (/ (- (* (* x x) 6) 18) 36) (- (* (* x x) 6) 18) (* (* x x) 6) 18 36 (/ (/ (- (pow x 4) 9) (+ (* x x) 3)) 6) (/ (- (pow x 4) 9) (+ (* x x) 3)) (- (pow x 4) 9) (pow x 4) 4 9 (+ (* x x) 3) 3)

2.0ms

-inf

((+ (* x (/ x 6)) -1/2) x (/ x 6) 6 -1/2 (/ (- (* x x) 3) 6) (/ (- (* x x) 3) 6) (- (* x x) 3) (* x x) (/ (- (* (* x x) 6) 18) 36) (- (* (* x x) 6) 18) (* (* x x) 6) 18 36 (/ (/ (- (pow x 4) 9) (+ (* x x) 3)) 6) (/ (- (pow x 4) 9) (+ (* x x) 3)) (- (pow x 4) 9) (pow x 4) 4 9 (+ (* x x) 3) 3)

2.0ms

((+ (* x (/ x 6)) -1/2) x (/ x 6) 6 -1/2 (/ (- (* x x) 3) 6) (/ (- (* x x) 3) 6) (- (* x x) 3) (* x x) (/ (- (* (* x x) 6) 18) 36) (- (* (* x x) 6) 18) (* (* x x) 6) 18 36 (/ (/ (- (pow x 4) 9) (+ (* x x) 3)) 6) (/ (- (pow x 4) 9) (+ (* x x) 3)) (- (pow x 4) 9) (pow x 4) 4 9 (+ (* x x) 3) 3)

rewrite101.0ms (7.8%)

Memory

-18.8MiB live, 129.6MiB allocated; 17ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	107	653
0	124	564
1	391	555
0	2477	527

Stop Event

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

Counts

63 → 427

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))
(/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64))
#s(approx (- (* x x) 3) (*.f64 x x))
(*.f64 x x)
(/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal 18 binary64)) #s(literal 36 binary64))
(-.f64 (.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal 18 binary64))
(.f64 (.f64 x x) #s(literal 6 binary64))
#s(literal 18 binary64)
#s(literal 36 binary64)
(/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (fma.f64 x x #s(literal 3 binary64))) #s(literal 6 binary64))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (fma.f64 x x #s(literal 3 binary64)))
(-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 9 binary64)
(fma.f64 x x #s(literal 3 binary64))
#s(literal 3 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) 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 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) 6) #s(hole binary64 (* 6 (pow x 2))))
#s(approx (/ (/ (- (pow x 4) 9) (+ (* x x) 3)) 6) #s(hole binary64 -1/2))
#s(approx (/ (/ (- (pow x 4) 9) (+ (* x x) 3)) 6) #s(hole binary64 (- (* 1/6 (pow x 2)) 1/2)))
#s(approx (/ (- (pow x 4) 9) (+ (* x x) 3)) #s(hole binary64 -3))
#s(approx (/ (- (pow x 4) 9) (+ (* x x) 3)) #s(hole binary64 (- (pow x 2) 3)))
#s(approx (- (pow x 4) 9) #s(hole binary64 -9))
#s(approx (- (pow x 4) 9) #s(hole binary64 (- (pow x 4) 9)))
#s(approx (pow x 4) #s(hole binary64 (pow x 4)))
#s(approx (+ (* x x) 3) #s(hole binary64 3))
#s(approx (+ (* x x) 3) #s(hole binary64 (+ 3 (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)))))))
#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) 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)))))))
#s(approx (/ (/ (- (pow x 4) 9) (+ (* x x) 3)) 6) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (/ (/ (- (pow x 4) 9) (+ (* x x) 3)) 6) #s(hole binary64 (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (/ (- (pow x 4) 9) (+ (* x x) 3)) #s(hole binary64 (pow x 2)))
#s(approx (/ (- (pow x 4) 9) (+ (* x x) 3)) #s(hole binary64 (* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))))
#s(approx (- (pow x 4) 9) #s(hole binary64 (pow x 4)))
#s(approx (- (pow x 4) 9) #s(hole binary64 (* (pow x 4) (- 1 (* 9 (/ 1 (pow x 4)))))))
#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 (fma.f64 (*.f64 x x) #s(literal 6 binary64) #s(literal -18 binary64)) #s(literal 6 binary64)) #s(literal 6 binary64))
(/.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 (*.f64 x x) #s(literal 6 binary64) #s(literal -18 binary64)))) #s(literal 36 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 (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 (-.f64 (.f64 (.f64 x x) #s(literal 36 binary64)) #s(literal 108 binary64)) #s(literal 216 binary64))
(/.f64 (-.f64 (.f64 (.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 36 binary64)) #s(literal 648 binary64)) #s(literal 1296 binary64))
(/.f64 (-.f64 (.f64 (.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 6 binary64)) #s(literal 108 binary64)) #s(literal 216 binary64))
(/.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 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 (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 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 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 (/.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 12 binary64)) #s(literal 729 binary64)) (.f64 (fma.f64 #s(literal 9 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -9 binary64)) (pow.f64 x #s(literal 8 binary64))) (.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 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 (-.f64 (.f64 #s(literal 216 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 5832 binary64)) (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64) (fma.f64 (*.f64 x x) #s(literal 108 binary64) #s(literal 324 binary64))) #s(literal 36 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 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 6 binary64) #s(literal -18 binary64))) #s(literal -36 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) (*.f64 (fma.f64 (neg.f64 x) x #s(literal -3 binary64)) #s(literal 6 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) (neg.f64 (*.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))
(/.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 (fma.f64 (*.f64 x x) #s(literal 6 binary64) #s(literal -18 binary64)) #s(literal 36 binary64))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 6 binary64) #s(literal -18 binary64))) #s(literal 36 binary64)))
(neg.f64 (/.f64 (neg.f64 (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64)))
(neg.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 6 binary64) #s(literal -18 binary64)) #s(literal -36 binary64)))
(neg.f64 (/.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal -6 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 (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 (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 #s(literal 6 binary64)) x) #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 (*.f64 (/.f64 x #s(literal 6 binary64)) x) #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 (/.f64 x #s(literal 6 binary64)) 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 #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 (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 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 3 binary64))) #s(literal 6 binary64)) (/.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 3 binary64))) #s(literal 6 binary64)))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64))) (/.f64 #s(literal 9 binary64) (.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 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 (*.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 x) #s(literal 1/6 binary64)) #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 (/.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) 18) 36) #s(literal -1/2 binary64))
(/.f64 (neg.f64 (neg.f64 #s(approx (/ (- (pow x 4) 9) (+ (* x x) 3)) (*.f64 x x)))) #s(literal 6 binary64))
(/.f64 (neg.f64 #s(approx (/ (- (pow x 4) 9) (+ (* x x) 3)) (*.f64 x x))) #s(literal -6 binary64))
(/.f64 #s(approx (/ (- (pow x 4) 9) (+ (* x x) 3)) (*.f64 x x)) #s(literal 6 binary64))
(neg.f64 (/.f64 (neg.f64 #s(approx (/ (- (pow x 4) 9) (+ (* x x) 3)) (*.f64 x x))) #s(literal 6 binary64)))
(neg.f64 (/.f64 #s(approx (/ (- (pow x 4) 9) (+ (* x x) 3)) (*.f64 x x)) #s(literal -6 binary64)))
#s(approx (/ (- (pow x 4) 9) (+ (* x x) 3)) (*.f64 x x))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 x)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 1 binary64) (fabs.f64 x)))
(.f64 (.f64 #s(literal 1 binary64) (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) x))
(.f64 (.f64 #s(literal 1 binary64) x) x)
(.f64 (.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(.f64 (.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (fabs.f64 x) #s(literal 1 binary64)))
(.f64 (.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 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) (.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (neg.f64 x) (neg.f64 x))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(.f64 #s(literal 1 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1 binary64))
(.f64 x (.f64 x #s(literal 1 binary64)))
(*.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))
(/.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) #s(literal 0 binary64)))
(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))))
(/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 6 binary64) #s(literal -18 binary64)) #s(literal 6 binary64)) #s(literal 6 binary64))
(/.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 (*.f64 x x) #s(literal 6 binary64) #s(literal -18 binary64)))) #s(literal 36 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))))
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#s(literal 3 binary64)
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#s(approx (/ (- (* (* x x) 6) 18) 36) (/.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 6 binary64)))
#s(approx (- (* (* x x) 6) 18) #s(literal -18 binary64))
#s(approx (- (* (* x x) 6) 18) (fma.f64 (*.f64 x x) #s(literal 6 binary64) #s(literal -18 binary64)))
#s(approx (* (* x x) 6) (.f64 (.f64 x x) #s(literal 6 binary64)))
#s(approx (/ (- (* (* x x) 6) 18) 36) #s(literal -1/2 binary64))
#s(approx (/ (- (* (* x x) 6) 18) 36) (/.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 6 binary64)))
#s(approx (/ (- (pow x 4) 9) (+ (* x x) 3)) #s(literal -3 binary64))
#s(approx (/ (- (pow x 4) 9) (+ (* x x) 3)) (fma.f64 x x #s(literal -3 binary64)))
#s(approx (- (pow x 4) 9) #s(literal -9 binary64))
#s(approx (- (pow x 4) 9) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
#s(approx (pow x 4) (pow.f64 x #s(literal 4 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) 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) 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 (/ (- (pow x 4) 9) (+ (* x x) 3)) (*.f64 x x))
#s(approx (/ (- (pow x 4) 9) (+ (* 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) 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 x x) #s(literal 6 binary64)))
#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))
#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 (/ (- (pow x 4) 9) (+ (* x x) 3)) (*.f64 x x))
#s(approx (/ (- (pow x 4) 9) (+ (* 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 (- (pow x 4) 9) (pow.f64 x #s(literal 4 binary64)))
#s(approx (- (pow x 4) 9) (*.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal -9 binary64) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))))
#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))

eval30.0ms (2.3%)

Memory: 10.0MiB live, 55.5MiB allocated; 3ms collecting garbage
Compiler: Compiled 4 554 to 1 012 computations (77.8% saved)

prune6.0ms (0.5%)

Memory

15.4MiB live, 15.4MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	300	4	304
Fresh	3	0	3
Picked	2	3	5
Done	0	0	0
Total	305	7	312

Accuracy

100.0%

Counts

312 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
✓	99.9%	(fma.f64 x (/.f64 x #s(literal 6 binary64)) #s(literal -1/2 binary64))
▶	99.8%	(/.f64 (fma.f64 (*.f64 #s(literal 6 binary64) x) x #s(literal -18 binary64)) #s(literal 36 binary64))
▶	50.8%	(/.f64 #s(approx (- (* (* x x) 6) 18) (.f64 (.f64 x x) #s(literal 6 binary64))) #s(literal 36 binary64))
✓	50.9%	(/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64))
▶	50.8%	#s(approx (/ (- (* (* x x) 6) 18) 36) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
✓	48.3%	#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

Compiler

Compiled 70 to 57 computations (18.6% saved)

series4.0ms (0.3%)

Memory

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

Counts

16 → 25

Calls

Call 1

Inputs
#s(approx (/ (- (* (* x x) 6) 18) 36) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(*.f64 x x)
x
#s(literal 1/6 binary64)
(/.f64 #s(approx (- (* (* x x) 6) 18) (.f64 (.f64 x x) #s(literal 6 binary64))) #s(literal 36 binary64))
#s(approx (- (* (* x x) 6) 18) (.f64 (.f64 x x) #s(literal 6 binary64)))
(.f64 (.f64 x x) #s(literal 6 binary64))
#s(literal 6 binary64)
#s(literal 36 binary64)
(/.f64 (fma.f64 (*.f64 #s(literal 6 binary64) x) x #s(literal -18 binary64)) #s(literal 36 binary64))
(fma.f64 (*.f64 #s(literal 6 binary64) x) x #s(literal -18 binary64))
(*.f64 #s(literal 6 binary64) x)
#s(literal -18 binary64)
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
#s(literal -1/2 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) 1/6) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#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) 6) #s(hole binary64 (* 6 (pow x 2))))
#s(approx (/ (+ (* (* 6 x) x) -18) 36) #s(hole binary64 -1/2))
#s(approx (/ (+ (* (* 6 x) x) -18) 36) #s(hole binary64 (- (* 1/6 (pow x 2)) 1/2)))
#s(approx (+ (* (* 6 x) x) -18) #s(hole binary64 -18))
#s(approx (+ (* (* 6 x) x) -18) #s(hole binary64 (- (* 6 (pow x 2)) 18)))
#s(approx (* 6 x) #s(hole binary64 (* 6 x)))
#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) 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)))))))
#s(approx (/ (+ (* (* 6 x) x) -18) 36) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (/ (+ (* (* 6 x) x) -18) 36) #s(hole binary64 (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* 6 x) x) -18) #s(hole binary64 (* 6 (pow x 2))))
#s(approx (+ (* (* 6 x) x) -18) #s(hole binary64 (* (pow x 2) (- 6 (* 18 (/ 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) 18) 36) (* (* x x) 1/6) (* x x) x 1/6 (/ (- (* (* x x) 6) 18) 36) (- (* (* x x) 6) 18) (* (* x x) 6) 6 36 (/ (+ (* (* 6 x) x) -18) 36) (+ (* (* 6 x) x) -18) (* 6 x) -18 (+ (* (* x x) 1/6) -1/2) -1/2)
1.0ms	x	@	inf	((/ (- (* (* x x) 6) 18) 36) (* (* x x) 1/6) (* x x) x 1/6 (/ (- (* (* x x) 6) 18) 36) (- (* (* x x) 6) 18) (* (* x x) 6) 6 36 (/ (+ (* (* 6 x) x) -18) 36) (+ (* (* 6 x) x) -18) (* 6 x) -18 (+ (* (* x x) 1/6) -1/2) -1/2)
1.0ms	x	@	0	((/ (- (* (* x x) 6) 18) 36) (* (* x x) 1/6) (* x x) x 1/6 (/ (- (* (* x x) 6) 18) 36) (- (* (* x x) 6) 18) (* (* x x) 6) 6 36 (/ (+ (* (* 6 x) x) -18) 36) (+ (* (* 6 x) x) -18) (* 6 x) -18 (+ (* (* x x) 1/6) -1/2) -1/2)

Time

Variable

Point

Expression

1.0ms

-inf

((/ (- (* (* x x) 6) 18) 36) (* (* x x) 1/6) (* x x) x 1/6 (/ (- (* (* x x) 6) 18) 36) (- (* (* x x) 6) 18) (* (* x x) 6) 6 36 (/ (+ (* (* 6 x) x) -18) 36) (+ (* (* 6 x) x) -18) (* 6 x) -18 (+ (* (* x x) 1/6) -1/2) -1/2)

1.0ms

inf

((/ (- (* (* x x) 6) 18) 36) (* (* x x) 1/6) (* x x) x 1/6 (/ (- (* (* x x) 6) 18) 36) (- (* (* x x) 6) 18) (* (* x x) 6) 6 36 (/ (+ (* (* 6 x) x) -18) 36) (+ (* (* 6 x) x) -18) (* 6 x) -18 (+ (* (* x x) 1/6) -1/2) -1/2)

1.0ms

((/ (- (* (* x x) 6) 18) 36) (* (* x x) 1/6) (* x x) x 1/6 (/ (- (* (* x x) 6) 18) 36) (- (* (* x x) 6) 18) (* (* x x) 6) 6 36 (/ (+ (* (* 6 x) x) -18) 36) (+ (* (* 6 x) x) -18) (* 6 x) -18 (+ (* (* x x) 1/6) -1/2) -1/2)

rewrite69.0ms (5.3%)

Memory

-19.1MiB live, 83.7MiB allocated; 18ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	418
0	77	430
1	259	372
0	1325	367

Stop Event

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

Counts

41 → 195

Calls

Call 1

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

eval18.0ms (1.4%)

Memory: -9.1MiB live, 36.2MiB allocated; 4ms collecting garbage
Compiler: Compiled 2 474 to 468 computations (81.1% saved)

prune6.0ms (0.4%)

Memory

13.0MiB live, 13.0MiB allocated; 0ms collecting garbage

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	161	2	163
Fresh	0	0	0
Picked	1	3	4
Done	0	3	3
Total	162	8	170

Accuracy

100.0%

Counts

170 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
✓	99.9%	(fma.f64 x (/.f64 x #s(literal 6 binary64)) #s(literal -1/2 binary64))
✓	50.8%	(/.f64 #s(approx (- (* (* x x) 6) 18) (.f64 (.f64 x x) #s(literal 6 binary64))) #s(literal 36 binary64))
▶	50.8%	(/.f64 #s(approx (- (* (* x x) 6) 18) (.f64 (.f64 #s(literal 6 binary64) x) x)) #s(literal 36 binary64))
✓	50.9%	(/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64))
✓	50.8%	#s(approx (/ (- (* (* x x) 6) 18) 36) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
▶	50.8%	#s(approx (/ (- (* (* x x) 6) 18) 36) (.f64 (.f64 #s(literal 1/6 binary64) x) x))
✓	48.3%	#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

Compiler

Compiled 92 to 74 computations (19.6% saved)

series4.0ms (0.3%)

Memory

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

Counts

11 → 13

Calls

Call 1

Inputs
#s(approx (/ (- (* (* x x) 6) 18) 36) (.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 #s(approx (- (* (* x x) 6) 18) (.f64 (.f64 #s(literal 6 binary64) x) x)) #s(literal 36 binary64))
#s(approx (- (* (* x x) 6) 18) (.f64 (.f64 #s(literal 6 binary64) x) x))
(.f64 (.f64 #s(literal 6 binary64) x) x)
(*.f64 #s(literal 6 binary64) x)
#s(literal 6 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 (* (* 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) 18) #s(hole binary64 -18))
#s(approx (- (* (* x x) 6) 18) #s(hole binary64 (- (* 6 (pow x 2)) 18)))
#s(approx (* (* 6 x) x) #s(hole binary64 (* 6 (pow x 2))))
#s(approx (* 6 x) #s(hole binary64 (* 6 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) (* (* 1/6 x) x) (* 1/6 x) 1/6 x (/ (- (* (* x x) 6) 18) 36) (- (* (* x x) 6) 18) (* (* 6 x) x) (* 6 x) 6 36)
1.0ms	x	@	-inf	((/ (- (* (* x x) 6) 18) 36) (* (* 1/6 x) x) (* 1/6 x) 1/6 x (/ (- (* (* x x) 6) 18) 36) (- (* (* x x) 6) 18) (* (* 6 x) x) (* 6 x) 6 36)
1.0ms	x	@	0	((/ (- (* (* x x) 6) 18) 36) (* (* 1/6 x) x) (* 1/6 x) 1/6 x (/ (- (* (* x x) 6) 18) 36) (- (* (* x x) 6) 18) (* (* 6 x) x) (* 6 x) 6 36)

Time

Variable

Point

Expression

1.0ms

inf

((/ (- (* (* x x) 6) 18) 36) (* (* 1/6 x) x) (* 1/6 x) 1/6 x (/ (- (* (* x x) 6) 18) 36) (- (* (* x x) 6) 18) (* (* 6 x) x) (* 6 x) 6 36)

1.0ms

-inf

((/ (- (* (* x x) 6) 18) 36) (* (* 1/6 x) x) (* 1/6 x) 1/6 x (/ (- (* (* x x) 6) 18) 36) (- (* (* x x) 6) 18) (* (* 6 x) x) (* 6 x) 6 36)

1.0ms

((/ (- (* (* x x) 6) 18) 36) (* (* 1/6 x) x) (* 1/6 x) 1/6 x (/ (- (* (* x x) 6) 18) 36) (- (* (* x x) 6) 18) (* (* 6 x) x) (* 6 x) 6 36)

rewrite56.0ms (4.3%)

Memory

-3.9MiB live, 89.4MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	226
0	57	222
1	182	212
0	1042	197

Stop Event

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

Counts

24 → 55

Calls

Call 1

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

eval4.0ms (0.3%)

Memory: 8.8MiB live, 8.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 728 to 155 computations (78.7% saved)

prune10.0ms (0.8%)

Memory

-37.6MiB live, 16.1MiB allocated; 2ms collecting garbage

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	43	0	43
Fresh	0	0	0
Picked	0	2	2
Done	0	6	6
Total	43	8	51

Accuracy

100.0%

Counts

51 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
✓	99.9%	(fma.f64 x (/.f64 x #s(literal 6 binary64)) #s(literal -1/2 binary64))
✓	50.8%	(/.f64 #s(approx (- (* (* x x) 6) 18) (.f64 (.f64 x x) #s(literal 6 binary64))) #s(literal 36 binary64))
✓	50.8%	(/.f64 #s(approx (- (* (* x x) 6) 18) (.f64 (.f64 #s(literal 6 binary64) x) x)) #s(literal 36 binary64))
✓	50.9%	(/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64))
✓	50.8%	#s(approx (/ (- (* (* x x) 6) 18) 36) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
✓	50.8%	#s(approx (/ (- (* (* x x) 6) 18) 36) (.f64 (.f64 #s(literal 1/6 binary64) x) x))
✓	48.3%	#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

Compiler

Compiled 259 to 128 computations (50.6% saved)

regimes17.0ms (1.3%)

Memory

-13.8MiB live, 33.0MiB allocated; 2ms collecting garbage

Counts

15 → 1

Calls

Call 1

Inputs
#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)))
#s(approx (/ (- (* (* x x) 6) 18) 36) (.f64 (.f64 #s(literal 1/6 binary64) x) x))
#s(approx (/ (- (* (* x x) 6) 18) 36) (.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 (/.f64 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))
(/.f64 #s(approx (- (* (* x x) 6) 18) (.f64 (.f64 #s(literal 6 binary64) x) x)) #s(literal 36 binary64))
(/.f64 #s(approx (- (* (* x x) 6) 18) (.f64 (.f64 x x) #s(literal 6 binary64))) #s(literal 36 binary64))
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 6 binary64) x) x #s(literal -18 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 9 binary64)) (fma.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:

4.0ms	x
4.0ms	(*.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)

regimes8.0ms (0.6%)

Memory

17.0MiB live, 17.0MiB allocated; 0ms 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 x x) #s(literal 1/6 binary64)))
#s(approx (/ (- (* (* x x) 6) 18) 36) (.f64 (.f64 #s(literal 1/6 binary64) x) x))
#s(approx (/ (- (* (* x x) 6) 18) 36) (.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 x x) #s(literal 3 binary64))
2.0ms	(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 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)

regimes7.0ms (0.6%)

Memory

14.3MiB live, 14.3MiB allocated; 0ms collecting garbage

Counts

5 → 2

Calls

Call 1

Inputs
#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)))
#s(approx (/ (- (* (* x x) 6) 18) 36) (.f64 (.f64 #s(literal 1/6 binary64) x) x))
#s(approx (/ (- (* (* x x) 6) 18) 36) (.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)
2.0ms	(-.f64 (*.f64 x x) #s(literal 3 binary64))
2.0ms	(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))

Results

Accuracy	Segments	Branch
97.4%	2	`(*.f64 x x)`
97.4%	2	`(-.f64 (*.f64 x x) #s(literal 3 binary64))`
97.4%	2	`(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))`
97.4%	2	`x`

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes7.0ms (0.5%)

Memory

13.2MiB live, 13.2MiB 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 x x) #s(literal 1/6 binary64)))
#s(approx (/ (- (* (* x x) 6) 18) 36) (.f64 (.f64 #s(literal 1/6 binary64) x) x))
#s(approx (/ (- (* (* x x) 6) 18) 36) (.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) 6) 18) 36) (.f64 (.f64 #s(literal 1/6 binary64) x) x))

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
97.4%	2	`(*.f64 x x)`
97.4%	2	`(-.f64 (*.f64 x x) #s(literal 3 binary64))`
97.4%	2	`(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))`
97.4%	2	`x`

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes6.0ms (0.4%)

Memory

-35.4MiB live, 11.7MiB allocated; 1ms collecting garbage

Counts

2 → 2

Calls

Call 1

Inputs
#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)))

Outputs
#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)))

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
97.4%	2	`(*.f64 x x)`
97.4%	2	`(-.f64 (*.f64 x x) #s(literal 3 binary64))`
97.4%	2	`(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))`
97.4%	2	`x`

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes4.0ms (0.3%)

Memory

9.1MiB live, 9.1MiB 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
48.3%	1	`(*.f64 x x)`
48.3%	1	`(-.f64 (*.f64 x x) #s(literal 3 binary64))`
48.3%	1	`(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))`
48.3%	1	`x`

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch10.0ms (0.8%)

Memory

19.6MiB live, 19.6MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	0.8159350763665824	1754.1801484152732

Samples

4.0ms

128×

valid

Compiler

Compiled 170 to 154 computations (9.4% saved)

Precisions

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

ival-mult!: 1.0ms (59.3% of total)

ival-div!: 1.0ms (59.3% of total)

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

adjust: 0.0ms (0% of total)

bsearch1.0ms (0.1%)

Memory

1.2MiB live, 1.2MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.8159350763665824	1754.1801484152732

Compiler

Compiled 202 to 186 computations (7.9% saved)

bsearch1.0ms (0.1%)

Memory

1.6MiB live, 1.6MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.8159350763665824	1754.1801484152732

Compiler

Compiled 186 to 170 computations (8.6% saved)

derivations32.0ms (2.5%)

Memory

0.7MiB live, 47.2MiB allocated; 3ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 107 to 32 computations (70.1% saved)

preprocess85.0ms (6.6%)

Memory: -11.8MiB live, 83.0MiB allocated; 10ms collecting garbage
Remove: (abs x)
Compiler: Compiled 442 to 224 computations (49.3% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample605.0ms (46.6%)

explain77.0ms (5.9%)

preprocess10.0ms (0.7%)

series3.0ms (0.2%)

rewrite95.0ms (7.3%)

eval5.0ms (0.4%)

prune8.0ms (0.6%)

series8.0ms (0.6%)

rewrite101.0ms (7.8%)

eval30.0ms (2.3%)

prune6.0ms (0.5%)

series4.0ms (0.3%)

rewrite69.0ms (5.3%)

eval18.0ms (1.4%)

prune6.0ms (0.4%)

series4.0ms (0.3%)

rewrite56.0ms (4.3%)

eval4.0ms (0.3%)

prune10.0ms (0.8%)

regimes17.0ms (1.3%)

regimes8.0ms (0.6%)

regimes7.0ms (0.6%)

regimes7.0ms (0.5%)

regimes6.0ms (0.4%)

regimes4.0ms (0.3%)

bsearch10.0ms (0.8%)

bsearch1.0ms (0.1%)

bsearch1.0ms (0.1%)

derivations32.0ms (2.5%)

preprocess85.0ms (6.6%)

end0.0ms (0%)

Profiling