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

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample838.0ms (58.3%)

Memory

36.2MiB live, 932.6MiB allocated; 405ms collecting garbage

Samples

609.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 417.0ms

ival-mult!: 290.0ms (69.5% of total)

ival-div!: 83.0ms (19.9% of total)

ival-sub!: 42.0ms (10.1% of total)

adjust: 2.0ms (0.5% of total)

Bogosity

explain107.0ms (7.4%)

Memory

-5.5MiB live, 92.1MiB allocated; 13ms 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

23.0ms

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 (44.1% of total)

ival-div!: 2.0ms (29.4% of total)

ival-sub!: 1.0ms (14.7% of total)

adjust: 0.0ms (0% of total)

preprocess39.0ms (2.7%)

Memory

-12.8MiB live, 34.1MiB allocated; 2ms 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
0	6	7
0	9	7
1	17	7
2	36	7
3	65	7
4	94	7
5	109	7
6	117	7
7	125	7
8	131	7
9	135	7
0	135	7

Stop Event

1×	iter-limit
1×	saturated
1×	iter-limit
1×	saturated

Calls

Call 1

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

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

Symmetry

(abs x)

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

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))

Compiler

Compiled 7 to 6 computations (14.3% saved)

series3.0ms (0.2%)

Memory

6.0MiB live, 6.0MiB 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)

rewrite63.0ms (4.4%)

Memory

12.9MiB live, 105.1MiB allocated; 11ms 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: -27.6MiB live, 18.8MiB allocated; 3ms collecting garbage
Compiler: Compiled 654 to 189 computations (71.1% saved)

prune5.0ms (0.4%)

Memory

11.9MiB live, 11.9MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	54	7	61
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	55	7	62

Accuracy

100.0%

Counts

62 → 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%	(/.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))
▶	49.4%	(/.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)))
▶	49.3%	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
▶	50.9%	#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

Compiler

Compiled 136 to 110 computations (19.1% saved)

series8.0ms (0.5%)

Memory

13.6MiB live, 13.6MiB 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
5.0ms	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

5.0ms

-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))

rewrite66.0ms (4.6%)

Memory

-27.2MiB live, 70.8MiB allocated; 12ms 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))

eval18.0ms (1.3%)

Memory: -3.0MiB live, 42.4MiB allocated; 4ms collecting garbage
Compiler: Compiled 2 348 to 403 computations (82.8% saved)

prune6.0ms (0.4%)

Memory

19.1MiB live, 19.1MiB allocated; 0ms collecting garbage

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	157	1	158
Fresh	0	2	2
Picked	0	5	5
Done	0	0	0
Total	157	8	165

Accuracy

100.0%

Counts

165 → 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%	(/.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))
✓	49.4%	(/.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)))
✓	49.3%	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
▶	49.4%	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 #s(literal 1/6 binary64) x) x))
✓	50.9%	#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

Compiler

Compiled 81 to 65 computations (19.8% saved)

series5.0ms (0.4%)

Memory

12.0MiB live, 12.0MiB allocated; 0ms collecting garbage

Counts

15 → 25

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

Outputs
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 -1/2))
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 (- (* 1/6 (pow x 2)) 1/2)))
#s(approx (* (* 1/6 x) x) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* 1/6 x) #s(hole binary64 (* 1/6 x)))
#s(approx x #s(hole binary64 x))
#s(approx (/ (- (* (* x x) 6) 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 (* x x) #s(hole binary64 (pow x 2)))
#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) 3) 6) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (/ (- (* (* x x) 6) 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 (/ (+ (* 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
2.0ms	x	@	inf	((/ (- (* x x) 3) 6) (* (* 1/6 x) x) (* 1/6 x) 1/6 x (/ (- (* (* x x) 6) 18) 36) (- (* (* x x) 6) 18) (* (* x x) 6) (* x x) 6 18 36 (/ (+ (* x x) -3) 6) (+ (* x x) -3) -3)
1.0ms	x	@	-inf	((/ (- (* x x) 3) 6) (* (* 1/6 x) x) (* 1/6 x) 1/6 x (/ (- (* (* x x) 6) 18) 36) (- (* (* x x) 6) 18) (* (* x x) 6) (* x x) 6 18 36 (/ (+ (* x x) -3) 6) (+ (* x x) -3) -3)
1.0ms	x	@	0	((/ (- (* x x) 3) 6) (* (* 1/6 x) x) (* 1/6 x) 1/6 x (/ (- (* (* x x) 6) 18) 36) (- (* (* x x) 6) 18) (* (* x x) 6) (* x x) 6 18 36 (/ (+ (* x x) -3) 6) (+ (* x x) -3) -3)

Time

Variable

Point

Expression

2.0ms

inf

((/ (- (* x x) 3) 6) (* (* 1/6 x) x) (* 1/6 x) 1/6 x (/ (- (* (* x x) 6) 18) 36) (- (* (* x x) 6) 18) (* (* x x) 6) (* x x) 6 18 36 (/ (+ (* x x) -3) 6) (+ (* x x) -3) -3)

1.0ms

-inf

((/ (- (* x x) 3) 6) (* (* 1/6 x) x) (* 1/6 x) 1/6 x (/ (- (* (* x x) 6) 18) 36) (- (* (* x x) 6) 18) (* (* x x) 6) (* x x) 6 18 36 (/ (+ (* x x) -3) 6) (+ (* x x) -3) -3)

1.0ms

((/ (- (* x x) 3) 6) (* (* 1/6 x) x) (* 1/6 x) 1/6 x (/ (- (* (* x x) 6) 18) 36) (- (* (* x x) 6) 18) (* (* x x) 6) (* x x) 6 18 36 (/ (+ (* x x) -3) 6) (+ (* x x) -3) -3)

rewrite69.0ms (4.8%)

Memory

-1.5MiB live, 92.0MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	378
0	81	367
1	263	344
0	1625	333

Stop Event

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

Counts

40 → 212

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

eval22.0ms (1.5%)

Memory: 0.2MiB live, 52.9MiB allocated; 4ms collecting garbage
Compiler: Compiled 2 032 to 467 computations (77% saved)

prune7.0ms (0.5%)

Memory

-29.7MiB live, 17.4MiB allocated; 1ms collecting garbage

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	163	1	164
Fresh	0	0	0
Picked	1	2	3
Done	0	5	5
Total	164	8	172

Accuracy

100.0%

Counts

172 → 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%	(/.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 6 binary64))
▶	49.4%	(/.f64 #s(approx (- (* (* x x) 6) 18) (.f64 (.f64 x x) #s(literal 6 binary64))) #s(literal 36 binary64))
✓	49.4%	(/.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)))
✓	49.3%	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
✓	49.4%	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 #s(literal 1/6 binary64) x) x))
✓	50.9%	#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

Compiler

Compiled 87 to 69 computations (20.7% saved)

series2.0ms (0.2%)

Memory

4.6MiB live, 4.6MiB allocated; 0ms collecting garbage

Counts

7 → 11

Calls

Call 1

Inputs
(/.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))
(*.f64 x x)
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 (- (* (* 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 (* 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) 6) (* x x) x 6 36)
1.0ms	x	@	-inf	((/ (- (* (* x x) 6) 18) 36) (- (* (* x x) 6) 18) (* (* x x) 6) (* x x) x 6 36)
0.0ms	x	@	0	((/ (- (* (* x x) 6) 18) 36) (- (* (* x x) 6) 18) (* (* x x) 6) (* x x) x 6 36)

Time

Variable

Point

Expression

1.0ms

inf

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

1.0ms

-inf

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

0.0ms

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

rewrite52.0ms (3.6%)

Memory

27.3MiB live, 73.7MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	184
0	45	180
1	167	172
0	1005	158

Stop Event

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

Counts

18 → 45

Calls

Call 1

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

eval9.0ms (0.6%)

Memory: -29.2MiB live, 17.0MiB allocated; 4ms collecting garbage
Compiler: Compiled 763 to 164 computations (78.5% saved)

prune4.0ms (0.3%)

Memory

12.0MiB live, 12.0MiB allocated; 0ms collecting garbage

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	46	0	46
Fresh	0	0	0
Picked	0	1	1
Done	0	7	7
Total	46	8	54

Accuracy

100.0%

Counts

54 → 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%	(/.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 6 binary64))
✓	49.4%	(/.f64 #s(approx (- (* (* x x) 6) 18) (.f64 (.f64 x x) #s(literal 6 binary64))) #s(literal 36 binary64))
✓	49.4%	(/.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)))
✓	49.3%	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
✓	49.4%	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 #s(literal 1/6 binary64) x) x))
✓	50.9%	#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

Compiler

Compiled 190 to 107 computations (43.7% saved)

regimes21.0ms (1.4%)

Memory

-16.6MiB live, 35.5MiB allocated; 12ms collecting garbage

Counts

10 → 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)))
(/.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 x x) #s(literal 6 binary64))) #s(literal 36 binary64))
(/.f64 (-.f64 (.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:

9.0ms	(*.f64 x x)
3.0ms	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)

regimes8.0ms (0.6%)

Memory

22.1MiB live, 22.1MiB 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 #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)))
(/.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
(/.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 6 binary64))

Calls

4 calls:

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

regimes8.0ms (0.6%)

Memory

-27.6MiB live, 19.8MiB allocated; 2ms collecting garbage

Counts

5 → 1

Calls

Call 1

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

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:

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
99.8%	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

15.8MiB live, 15.8MiB allocated; 0ms collecting garbage

Counts

3 → 2

Calls

Call 1

Inputs

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

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

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
98.5%	2	`(*.f64 x x)`
98.5%	2	`(-.f64 (*.f64 x x) #s(literal 3 binary64))`
98.5%	2	`(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))`
98.5%	2	`x`

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes4.0ms (0.3%)

Memory

12.3MiB live, 12.3MiB 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
50.9%	1	`(*.f64 x x)`
50.9%	1	`(-.f64 (*.f64 x x) #s(literal 3 binary64))`
50.9%	1	`(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))`
50.9%	1	`x`

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch7.0ms (0.5%)

Memory

15.8MiB live, 15.8MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
6.0ms	0.3776813182304913	4.571010979947211

Samples

3.0ms

96×

valid

Compiler

Compiled 142 to 130 computations (8.5% saved)

Precisions

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

ival-mult!: 1.0ms (83.7% of total)

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

adjust: 0.0ms (0% of total)

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

derivations21.0ms (1.5%)

Memory

-13.4MiB live, 34.0MiB allocated; 1ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 61 to 24 computations (60.7% saved)

preprocess29.0ms (2%)

Memory: -27.9MiB live, 67.2MiB allocated; 7ms collecting garbage
Remove: (abs x)
Compiler: Compiled 258 to 148 computations (42.6% saved)

end0.0ms (0%)

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

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
0	6	7
0	9	7
1	17	7
2	36	7
3	65	7
4	94	7
5	109	7
6	117	7
7	125	7
8	131	7
9	135	7
0	135	7

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
0	6	7
0	9	7
1	17	7
2	36	7
3	65	7
4	94	7
5	109	7
6	117	7
7	125	7
8	131	7
9	135	7
0	135	7

start0.0ms (0%)

analyze0.0ms (0%)

sample838.0ms (58.3%)

explain107.0ms (7.4%)

preprocess39.0ms (2.7%)

eval0.0ms (0%)

prune0.0ms (0%)

series3.0ms (0.2%)

rewrite63.0ms (4.4%)

eval8.0ms (0.6%)

prune5.0ms (0.4%)

series8.0ms (0.5%)

rewrite66.0ms (4.6%)

eval18.0ms (1.3%)

prune6.0ms (0.4%)

series5.0ms (0.4%)

rewrite69.0ms (4.8%)

eval22.0ms (1.5%)

prune7.0ms (0.5%)

series2.0ms (0.2%)

rewrite52.0ms (3.6%)

eval9.0ms (0.6%)

prune4.0ms (0.3%)

regimes21.0ms (1.4%)

regimes8.0ms (0.6%)

regimes8.0ms (0.6%)

regimes6.0ms (0.4%)

regimes4.0ms (0.3%)

bsearch7.0ms (0.5%)

derivations21.0ms (1.5%)

preprocess29.0ms (2%)

end0.0ms (0%)

Profiling

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
0	6	7
0	9	7
1	17	7
2	36	7
3	65	7
4	94	7
5	109	7
6	117	7
7	125	7
8	131	7
9	135	7
0	135	7