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

0.6MiB live, 0.6MiB 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)

sample595.0ms (49.9%)

Memory

9.1MiB live, 870.0MiB allocated; 93ms collecting garbage

Samples

406.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 207.0ms

ival-mult!: 134.0ms (64.7% of total)

ival-div!: 46.0ms (22.2% of total)

ival-sub!: 25.0ms (12.1% of total)

adjust: 2.0ms (1% of total)

Bogosity

explain68.0ms (5.7%)

Memory

12.1MiB live, 164.0MiB allocated; 18ms 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

20.0ms

512×

valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult!: 4.0ms (48.8% of total)

ival-div!: 3.0ms (36.6% of total)

ival-sub!: 1.0ms (12.2% of total)

adjust: 0.0ms (0% of total)

preprocess10.0ms (0.8%)

Memory

-24.6MiB live, 22.4MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Alt Table

Click to see full alt table

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

Symmetry

(abs x)

Compiler

Compiled 14 to 12 computations (14.3% saved)

series3.0ms (0.2%)

Memory

7.7MiB live, 7.7MiB 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 (5.3%)

Memory

-0.4MiB live, 96.4MiB allocated; 5ms 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))

eval6.0ms (0.5%)

Memory: 18.9MiB live, 18.9MiB allocated; 0ms collecting garbage
Compiler: Compiled 654 to 189 computations (71.1% saved)

prune4.0ms (0.3%)

Memory

11.3MiB live, 11.3MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	56	5	61
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	57	5	62

Accuracy

100.0%

Counts

62 → 5

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))
▶	51.8%	(/.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)))
▶	51.7%	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
▶	47.9%	#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

Compiler

Compiled 106 to 84 computations (20.8% saved)

series6.0ms (0.5%)

Memory

-34.0MiB live, 13.5MiB allocated; 2ms 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
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) 1/6) (* x x) 1/6 (/ (- (* x x) 3) 6) (+ (* (* x x) 1/6) -1/2) (/ (- (* x x) 3) 6) (- (* x x) 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) 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

2.0ms

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))

2.0ms

-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))

rewrite59.0ms (4.9%)

Memory

12.7MiB live, 107.6MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	323
0	66	315
1	210	305
0	1265	294

Stop Event

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

Counts

34 → 114

Calls

Call 1

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

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

eval19.0ms (1.6%)

Memory: 3.9MiB live, 53.0MiB allocated; 3ms collecting garbage
Compiler: Compiled 2 348 to 403 computations (82.8% saved)

prune6.0ms (0.5%)

Memory

20.2MiB live, 20.2MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	155	3	158
Fresh	0	0	0
Picked	1	4	5
Done	0	0	0
Total	156	7	163

Accuracy

100.0%

Counts

163 → 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))
▶	99.8%	(fma.f64 x #s(approx (/ x 6) (*.f64 #s(literal 1/6 binary64) x)) #s(literal -1/2 binary64))
✓	51.8%	(/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64))
▶	62.2%	#s(approx (/ (- (* x x) 3) 6) (/.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))))
✓	51.7%	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
▶	51.7%	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 #s(literal 1/6 binary64) x) x))
✓	47.9%	#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

Compiler

Compiled 83 to 66 computations (20.5% saved)

series7.0ms (0.6%)

Memory

-28.8MiB live, 18.6MiB allocated; 2ms collecting garbage

Counts

17 → 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
#s(approx (/ (- (* x x) 3) 6) (/.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 #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)))
(fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64))
#s(literal 1/36 binary64)
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal -1/4 binary64)
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(fma.f64 x #s(approx (/ x 6) (*.f64 #s(literal 1/6 binary64) x)) #s(literal -1/2 binary64))
#s(approx (/ x 6) (*.f64 #s(literal 1/6 binary64) x))
#s(literal -1/2 binary64)

Outputs
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 -1/2))
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 (- (* 1/6 (pow x 2)) 1/2)))
#s(approx (* (* 1/6 x) x) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* 1/6 x) #s(hole binary64 (* 1/6 x)))
#s(approx x #s(hole binary64 x))
#s(approx (/ (+ (* 1/36 (pow x 4)) -1/4) (+ (* (* 1/6 x) x) 1/2)) #s(hole binary64 -1/2))
#s(approx (/ (+ (* 1/36 (pow x 4)) -1/4) (+ (* (* 1/6 x) x) 1/2)) #s(hole binary64 (- (* 1/6 (pow x 2)) 1/2)))
#s(approx (+ (* 1/36 (pow x 4)) -1/4) #s(hole binary64 -1/4))
#s(approx (+ (* 1/36 (pow x 4)) -1/4) #s(hole binary64 (- (* 1/36 (pow x 4)) 1/4)))
#s(approx (pow x 4) #s(hole binary64 (pow x 4)))
#s(approx (+ (* (* 1/6 x) x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (* 1/6 x) x) 1/2) #s(hole binary64 (+ 1/2 (* 1/6 (pow x 2)))))
#s(approx (+ (* x (/ x 6)) -1/2) #s(hole binary64 -1/2))
#s(approx (+ (* x (/ x 6)) -1/2) #s(hole binary64 (- (* 1/6 (pow x 2)) 1/2)))
#s(approx (/ x 6) #s(hole binary64 (* 1/6 x)))
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (/ (+ (* 1/36 (pow x 4)) -1/4) (+ (* (* 1/6 x) x) 1/2)) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (/ (+ (* 1/36 (pow x 4)) -1/4) (+ (* (* 1/6 x) x) 1/2)) #s(hole binary64 (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* 1/36 (pow x 4)) -1/4) #s(hole binary64 (* 1/36 (pow x 4))))
#s(approx (+ (* 1/36 (pow x 4)) -1/4) #s(hole binary64 (* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4)))))))
#s(approx (+ (* (* 1/6 x) x) 1/2) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (+ (* (* 1/6 x) x) 1/2) #s(hole binary64 (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* x (/ x 6)) -1/2) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (+ (* x (/ x 6)) -1/2) #s(hole binary64 (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))))

Calls

3 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	((/ (- (* x x) 3) 6) (* (* 1/6 x) x) (* 1/6 x) 1/6 x (/ (- (* x x) 3) 6) (/ (+ (* 1/36 (pow x 4)) -1/4) (+ (* (* 1/6 x) x) 1/2)) (+ (* 1/36 (pow x 4)) -1/4) 1/36 (pow x 4) 4 -1/4 (+ (* (* 1/6 x) x) 1/2) 1/2 (+ (* x (/ x 6)) -1/2) (/ x 6) -1/2)
3.0ms	x	@	inf	((/ (- (* x x) 3) 6) (* (* 1/6 x) x) (* 1/6 x) 1/6 x (/ (- (* x x) 3) 6) (/ (+ (* 1/36 (pow x 4)) -1/4) (+ (* (* 1/6 x) x) 1/2)) (+ (* 1/36 (pow x 4)) -1/4) 1/36 (pow x 4) 4 -1/4 (+ (* (* 1/6 x) x) 1/2) 1/2 (+ (* x (/ x 6)) -1/2) (/ x 6) -1/2)
2.0ms	x	@	-inf	((/ (- (* x x) 3) 6) (* (* 1/6 x) x) (* 1/6 x) 1/6 x (/ (- (* x x) 3) 6) (/ (+ (* 1/36 (pow x 4)) -1/4) (+ (* (* 1/6 x) x) 1/2)) (+ (* 1/36 (pow x 4)) -1/4) 1/36 (pow x 4) 4 -1/4 (+ (* (* 1/6 x) x) 1/2) 1/2 (+ (* x (/ x 6)) -1/2) (/ x 6) -1/2)

Time

Variable

Point

Expression

3.0ms

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

3.0ms

inf

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

2.0ms

-inf

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

rewrite82.0ms (6.9%)

Memory

-1.9MiB live, 142.7MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	435
0	86	436
1	303	387
0	2042	363

Stop Event

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

Counts

42 → 180

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

Outputs
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(.f64 (.f64 #s(literal 1/6 binary64) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 #s(literal 1/6 binary64) (fabs.f64 x)) (fabs.f64 x))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 1/6 binary64)))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(literal 1/6 binary64)))
(.f64 (.f64 #s(literal 1/6 binary64) x) x)
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 x (.f64 #s(literal 1/6 binary64) x))
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 x #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
x
#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
(.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)))) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
(.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64) #s(literal 1/8 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) (*.f64 x x)))))
(.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 1/36 binary64) (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal 1/2 binary64)))) (.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 1/36 binary64) (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal 1/2 binary64))))) (.f64 (/.f64 #s(literal 1/4 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 x #s(literal 4 binary64)) (/.f64 #s(literal 1/36 binary64) (fma.f64 (.f64 #s(literal 1/6 binary64) 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 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 1/36 binary64) (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal -1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 1/36 binary64) (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal 1/2 binary64)))) (.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 1/36 binary64) (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal 1/2 binary64)))) (-.f64 (.f64 (/.f64 #s(literal 1/4 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 x #s(literal 4 binary64)) (/.f64 #s(literal 1/36 binary64) (fma.f64 (.f64 #s(literal 1/6 binary64) 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 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 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 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64) (fma.f64 #s(literal 1/12 binary64) (.f64 x x) #s(literal 1/4 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64)))
(/.f64 (fma.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal 1/2 binary64)) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal 1/2 binary64)) #s(literal -1/4 binary64))) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal 1/2 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 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1/2 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) #s(literal 2 binary64)) #s(literal 1/16 binary64)) (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1/2 binary64))))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) #s(literal 1/8 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64) (fma.f64 #s(literal 1/12 binary64) (.f64 x x) #s(literal 1/4 binary64))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 1/46656 binary64) #s(literal -1/64 binary64)) (.f64 (-.f64 (+.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) #s(literal 2 binary64)) #s(literal 1/16 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/144 binary64))) (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal 1/2 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1/2 binary64))))
(neg.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))))
(fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #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))))
(fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)))) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))))
(fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64) #s(literal 1/8 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) (.f64 x x)))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal -1/2 binary64))))
(fma.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1/2 binary64)))))
(fma.f64 (/.f64 #s(literal -1/4 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)))) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64))) (.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1/2 binary64)))))
(fma.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64) #s(literal 1/8 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) (.f64 x x)))) (.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 1/36 binary64) (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal 1/2 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 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 1/36 binary64) (fma.f64 (.f64 #s(literal 1/6 binary64) 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))))
(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 1/36 binary64) (/.f64 (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 #s(literal -1/6 binary64) (.f64 x x) #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 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64) (fma.f64 #s(literal 1/12 binary64) (.f64 x x) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1/8 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64) (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1/4 binary64)))))
(-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 1/36 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 x x) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(+.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal -1/2 binary64))) (.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1/2 binary64)))))
(+.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 1/36 binary64) (fma.f64 (.f64 #s(literal 1/6 binary64) 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 (.f64 x x) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))
(.f64 (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)))
(.f64 (fma.f64 (.f64 x 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)))
(/.f64 (-.f64 #s(literal 1/16 binary64) (pow.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 1/46656 binary64) #s(literal -1/64 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) #s(literal 2 binary64)) #s(literal 1/16 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/144 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) #s(literal 2 binary64)) #s(literal 1/16 binary64))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) #s(literal 3 binary64)) #s(literal 1/64 binary64))) (neg.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/144 binary64) #s(literal 1/16 binary64)) (pow.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) #s(literal 2 binary64)) #s(literal 1/16 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal 1/4 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) #s(literal 3 binary64)) #s(literal 1/64 binary64)) (+.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/144 binary64) #s(literal 1/16 binary64)) (pow.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) #s(literal 2 binary64))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 1/46656 binary64) #s(literal -1/64 binary64)) (+.f64 #s(literal 1/16 binary64) (-.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/144 binary64)))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 1/46656 binary64) #s(literal -1/64 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) #s(literal 2 binary64)) #s(literal 1/16 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/144 binary64))))
(fma.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (.f64 #s(literal 1/6 binary64) x)) x #s(literal -1/4 binary64))
(fma.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x)) #s(literal 1/6 binary64) #s(literal -1/4 binary64))
(fma.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal -1/4 binary64))
(fma.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) x) (.f64 #s(literal 1/6 binary64) x) #s(literal -1/4 binary64))
(fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/6 binary64)) #s(literal 1/6 binary64) #s(literal -1/4 binary64))
(fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (*.f64 x x) #s(literal -1/4 binary64))
(fma.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 #s(literal 1/6 binary64) x)) (.f64 x x) #s(literal -1/4 binary64))
(fma.f64 (fabs.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64))) (fabs.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64))) #s(literal -1/4 binary64))
(fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) (.f64 #s(literal -1/6 binary64) (.f64 x x)) #s(literal -1/4 binary64))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1/4 binary64))
(fma.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 x (.f64 (.f64 x x) #s(literal 1/6 binary64))) #s(literal -1/4 binary64))
(fma.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal -1/4 binary64))
(fma.f64 (.f64 x x) (.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64))) #s(literal -1/4 binary64))
(fma.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/4 binary64))
(fma.f64 (.f64 x x) (.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 #s(literal 1/6 binary64) x)) #s(literal -1/4 binary64))
(fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64))
(fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/6 binary64))) #s(literal -1/4 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/4 binary64))
(fma.f64 x (.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 (.f64 x x) #s(literal 1/6 binary64))) #s(literal -1/4 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal 1/4 binary64))) (/.f64 #s(literal 1/16 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal 1/4 binary64))))
(-.f64 (/.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) #s(literal 3 binary64)) (+.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/144 binary64) #s(literal 1/16 binary64)) (pow.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1/64 binary64) (+.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/144 binary64) #s(literal 1/16 binary64)) (pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) #s(literal 2 binary64)))))
(-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) #s(literal 1/4 binary64))
(-.f64 #s(literal -1/4 binary64) (*.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)))
(-.f64 #s(literal -1/4 binary64) (*.f64 #s(literal -1/36 binary64) (pow.f64 x #s(literal 4 binary64))))
(+.f64 (/.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) #s(literal 2 binary64)) #s(literal 1/16 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/144 binary64)))) (/.f64 #s(literal -1/64 binary64) (-.f64 (+.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) #s(literal 2 binary64)) #s(literal 1/16 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/144 binary64)))))
(+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) #s(literal -1/4 binary64))
(+.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)))
#s(literal 1/36 binary64)
(.f64 (.f64 (*.f64 x x) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 (*.f64 x x) (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 (*.f64 x x) x) x)
(.f64 (.f64 (neg.f64 x) (fabs.f64 x)) (*.f64 (neg.f64 x) (fabs.f64 x)))
(.f64 (.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 (fabs.f64 x) (neg.f64 x)))
(.f64 (.f64 (fabs.f64 x) x) (*.f64 (fabs.f64 x) x))
(.f64 (.f64 x (fabs.f64 x)) (*.f64 x (fabs.f64 x)))
(.f64 (.f64 (neg.f64 x) x) (*.f64 (neg.f64 x) x))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) (*.f64 x x)))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 x x))
(.f64 x (.f64 x (*.f64 x x)))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 4 binary64))
(pow.f64 (*.f64 x x) #s(literal 2 binary64))
(pow.f64 x #s(literal 4 binary64))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))))
#s(literal 4 binary64)
#s(literal -1/4 binary64)
(.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal 1/2 binary64)))
(.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) #s(literal 1/8 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64) (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1/4 binary64))))
(/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64) (.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 x x))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) (.f64 x x))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) (.f64 x x)))))
(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 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64)))) (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))))
(-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))
(-.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 (.f64 #s(literal 1/6 binary64) x)) x))
(-.f64 #s(literal 1/2 binary64) (.f64 (.f64 (neg.f64 x) x) #s(literal 1/6 binary64)))
(-.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 x) (.f64 #s(literal 1/6 binary64) x)))
(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x x)))
(+.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) (.f64 x x))))) (/.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) (*.f64 x x))))))
(+.f64 (/.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) (.f64 x x))))) (/.f64 #s(literal 1/8 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) (*.f64 x x))))))
(+.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(literal 1/2 binary64)
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 #s(approx (/ x 6) (.f64 #s(literal 1/6 binary64) x)) x) #s(literal 2 binary64))) (-.f64 #s(literal -1/2 binary64) (.f64 #s(approx (/ x 6) (.f64 #s(literal 1/6 binary64) x)) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(approx (/ x 6) (.f64 #s(literal 1/6 binary64) x)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (.f64 #s(approx (/ x 6) (.f64 #s(literal 1/6 binary64) x)) x) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 #s(approx (/ x 6) (.f64 #s(literal 1/6 binary64) x)) x) #s(literal 3 binary64)) #s(literal -1/8 binary64))) (neg.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal -1/2 binary64) (.f64 #s(approx (/ x 6) (.f64 #s(literal 1/6 binary64) x)) x)) (pow.f64 (.f64 #s(approx (/ x 6) (.f64 #s(literal 1/6 binary64) x)) x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(approx (/ x 6) (.f64 #s(literal 1/6 binary64) x)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (.f64 #s(approx (/ x 6) (.f64 #s(literal 1/6 binary64) x)) x) #s(literal -1/2 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 #s(approx (/ x 6) (.f64 #s(literal 1/6 binary64) x)) x) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (.f64 #s(approx (/ x 6) (.f64 #s(literal 1/6 binary64) x)) x) #s(literal 2 binary64)) (.f64 #s(approx (/ x 6) (.f64 #s(literal 1/6 binary64) x)) (*.f64 x #s(literal -1/2 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(approx (/ x 6) (.f64 #s(literal 1/6 binary64) x)) x) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal -1/2 binary64) (.f64 #s(approx (/ x 6) (.f64 #s(literal 1/6 binary64) x)) x)) (pow.f64 (.f64 #s(approx (/ x 6) (.f64 #s(literal 1/6 binary64) x)) x) #s(literal 2 binary64))))
(fma.f64 #s(approx (/ x 6) (*.f64 #s(literal 1/6 binary64) x)) x #s(literal -1/2 binary64))
(fma.f64 x #s(approx (/ x 6) (*.f64 #s(literal 1/6 binary64) x)) #s(literal -1/2 binary64))
(-.f64 (/.f64 (pow.f64 (.f64 #s(approx (/ x 6) (.f64 #s(literal 1/6 binary64) x)) x) #s(literal 2 binary64)) (-.f64 (.f64 #s(approx (/ x 6) (.f64 #s(literal 1/6 binary64) x)) x) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(approx (/ x 6) (.f64 #s(literal 1/6 binary64) x)) x) #s(literal -1/2 binary64))))
(-.f64 #s(literal -1/2 binary64) (.f64 (neg.f64 #s(approx (/ x 6) (.f64 #s(literal 1/6 binary64) x))) x))
(-.f64 #s(literal -1/2 binary64) (.f64 (neg.f64 x) #s(approx (/ x 6) (.f64 #s(literal 1/6 binary64) x))))
(+.f64 (/.f64 (pow.f64 (.f64 #s(approx (/ x 6) (.f64 #s(literal 1/6 binary64) x)) x) #s(literal 3 binary64)) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal -1/2 binary64) (.f64 #s(approx (/ x 6) (.f64 #s(literal 1/6 binary64) x)) x)) (pow.f64 (.f64 #s(approx (/ x 6) (.f64 #s(literal 1/6 binary64) x)) x) #s(literal 2 binary64)))) (/.f64 #s(literal -1/8 binary64) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal -1/2 binary64) (.f64 #s(approx (/ x 6) (.f64 #s(literal 1/6 binary64) x)) x)) (pow.f64 (.f64 #s(approx (/ x 6) (.f64 #s(literal 1/6 binary64) x)) x) #s(literal 2 binary64)))))
(+.f64 (.f64 #s(approx (/ x 6) (.f64 #s(literal 1/6 binary64) x)) x) #s(literal -1/2 binary64))
(+.f64 #s(literal -1/2 binary64) (.f64 #s(approx (/ x 6) (.f64 #s(literal 1/6 binary64) x)) x))
#s(approx (/ x 6) (*.f64 #s(literal 1/6 binary64) x))
#s(literal -1/2 binary64)
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
#s(approx (* (* 1/6 x) x) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (* 1/6 x) (*.f64 #s(literal 1/6 binary64) x))
#s(approx x x)
#s(approx (/ (+ (* 1/36 (pow x 4)) -1/4) (+ (* (* 1/6 x) x) 1/2)) #s(literal -1/2 binary64))
#s(approx (/ (+ (* 1/36 (pow x 4)) -1/4) (+ (* (* 1/6 x) x) 1/2)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
#s(approx (+ (* 1/36 (pow x 4)) -1/4) #s(literal -1/4 binary64))
#s(approx (+ (* 1/36 (pow x 4)) -1/4) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1/4 binary64)))
#s(approx (pow x 4) (pow.f64 x #s(literal 4 binary64)))
#s(approx (+ (* (* 1/6 x) x) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* (* 1/6 x) x) 1/2) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1/2 binary64)))
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
#s(approx (/ x 6) (*.f64 #s(literal 1/6 binary64) x))
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/2 binary64) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (+ (* 1/36 (pow x 4)) -1/4) (+ (* (* 1/6 x) x) 1/2)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (/ (+ (* 1/36 (pow x 4)) -1/4) (+ (* (* 1/6 x) x) 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 (+ (* 1/36 (pow x 4)) -1/4) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)))
#s(approx (+ (* 1/36 (pow x 4)) -1/4) (*.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal -1/4 binary64) #s(literal 1/36 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (* 1/6 x) x) 1/2) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (+ (* (* 1/6 x) x) 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) 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))

eval20.0ms (1.7%)

Memory: 13.9MiB live, 61.0MiB allocated; 2ms collecting garbage
Compiler: Compiled 4 943 to 666 computations (86.5% saved)

prune8.0ms (0.7%)

Memory

-22.2MiB live, 25.3MiB allocated; 1ms collecting garbage

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	192	1	193
Fresh	0	0	0
Picked	1	2	3
Done	0	4	4
Total	193	7	200

Accuracy

100.0%

Counts

200 → 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))
✓	99.8%	(fma.f64 x #s(approx (/ x 6) (*.f64 #s(literal 1/6 binary64) x)) #s(literal -1/2 binary64))
✓	51.8%	(/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64))
▶	62.2%	#s(approx (/ (- (* x x) 3) 6) (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/4 binary64)) (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal 1/2 binary64))))
✓	51.7%	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
✓	51.7%	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 #s(literal 1/6 binary64) x) x))
✓	47.9%	#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

Compiler

Compiled 87 to 67 computations (23% saved)

series6.0ms (0.5%)

Memory

21.8MiB live, 21.9MiB allocated; 0ms collecting garbage

Counts

13 → 21

Calls

Call 1

Inputs
#s(approx (/ (- (* x x) 3) 6) (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/4 binary64)) (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal 1/2 binary64))))
(/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/4 binary64)) (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (*.f64 x x) x) x) #s(literal -1/4 binary64))
#s(literal 1/36 binary64)
(.f64 (.f64 (*.f64 x x) x) x)
(.f64 (.f64 x x) x)
(*.f64 x x)
x
#s(literal -1/4 binary64)
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)

Outputs
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 -1/2))
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 (- (* 1/6 (pow x 2)) 1/2)))
#s(approx (/ (+ (* 1/36 (* (* (* x x) x) x)) -1/4) (+ (* (* 1/6 x) x) 1/2)) #s(hole binary64 -1/2))
#s(approx (/ (+ (* 1/36 (* (* (* x x) x) x)) -1/4) (+ (* (* 1/6 x) x) 1/2)) #s(hole binary64 (- (* 1/6 (pow x 2)) 1/2)))
#s(approx (+ (* 1/36 (* (* (* x x) x) x)) -1/4) #s(hole binary64 -1/4))
#s(approx (+ (* 1/36 (* (* (* x x) x) x)) -1/4) #s(hole binary64 (- (* 1/36 (pow x 4)) 1/4)))
#s(approx (* (* (* x x) x) x) #s(hole binary64 (pow x 4)))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (* 1/6 x) x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (* 1/6 x) x) 1/2) #s(hole binary64 (+ 1/2 (* 1/6 (pow x 2)))))
#s(approx (* 1/6 x) #s(hole binary64 (* 1/6 x)))
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (/ (+ (* 1/36 (* (* (* x x) x) x)) -1/4) (+ (* (* 1/6 x) x) 1/2)) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (/ (+ (* 1/36 (* (* (* x x) x) x)) -1/4) (+ (* (* 1/6 x) x) 1/2)) #s(hole binary64 (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* 1/36 (* (* (* x x) x) x)) -1/4) #s(hole binary64 (* 1/36 (pow x 4))))
#s(approx (+ (* 1/36 (* (* (* x x) x) x)) -1/4) #s(hole binary64 (* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4)))))))
#s(approx (+ (* (* 1/6 x) x) 1/2) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (+ (* (* 1/6 x) x) 1/2) #s(hole binary64 (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))))

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	((/ (- (* x x) 3) 6) (/ (+ (* 1/36 (* (* (* x x) x) x)) -1/4) (+ (* (* 1/6 x) x) 1/2)) (+ (* 1/36 (* (* (* x x) x) x)) -1/4) 1/36 (* (* (* x x) x) x) (* (* x x) x) (* x x) x -1/4 (+ (* (* 1/6 x) x) 1/2) (* 1/6 x) 1/6 1/2)
2.0ms	x	@	-inf	((/ (- (* x x) 3) 6) (/ (+ (* 1/36 (* (* (* x x) x) x)) -1/4) (+ (* (* 1/6 x) x) 1/2)) (+ (* 1/36 (* (* (* x x) x) x)) -1/4) 1/36 (* (* (* x x) x) x) (* (* x x) x) (* x x) x -1/4 (+ (* (* 1/6 x) x) 1/2) (* 1/6 x) 1/6 1/2)
1.0ms	x	@	0	((/ (- (* x x) 3) 6) (/ (+ (* 1/36 (* (* (* x x) x) x)) -1/4) (+ (* (* 1/6 x) x) 1/2)) (+ (* 1/36 (* (* (* x x) x) x)) -1/4) 1/36 (* (* (* x x) x) x) (* (* x x) x) (* x x) x -1/4 (+ (* (* 1/6 x) x) 1/2) (* 1/6 x) 1/6 1/2)

Time

Variable

Point

Expression

2.0ms

inf

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

2.0ms

-inf

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

1.0ms

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

rewrite97.0ms (8.1%)

Memory

13.8MiB live, 150.0MiB allocated; 28ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	398
0	82	339
1	297	296
0	1861	279

Stop Event

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

Counts

34 → 188

Calls

Call 1

Inputs
#s(approx (/ (- (* x x) 3) 6) (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/4 binary64)) (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal 1/2 binary64))))
(/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/4 binary64)) (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (*.f64 x x) x) x) #s(literal -1/4 binary64))
#s(literal 1/36 binary64)
(.f64 (.f64 (*.f64 x x) x) x)
(.f64 (.f64 x x) x)
(*.f64 x x)
x
#s(literal -1/4 binary64)
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 -1/2))
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 (- (* 1/6 (pow x 2)) 1/2)))
#s(approx (/ (+ (* 1/36 (* (* (* x x) x) x)) -1/4) (+ (* (* 1/6 x) x) 1/2)) #s(hole binary64 -1/2))
#s(approx (/ (+ (* 1/36 (* (* (* x x) x) x)) -1/4) (+ (* (* 1/6 x) x) 1/2)) #s(hole binary64 (- (* 1/6 (pow x 2)) 1/2)))
#s(approx (+ (* 1/36 (* (* (* x x) x) x)) -1/4) #s(hole binary64 -1/4))
#s(approx (+ (* 1/36 (* (* (* x x) x) x)) -1/4) #s(hole binary64 (- (* 1/36 (pow x 4)) 1/4)))
#s(approx (* (* (* x x) x) x) #s(hole binary64 (pow x 4)))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (* 1/6 x) x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (* 1/6 x) x) 1/2) #s(hole binary64 (+ 1/2 (* 1/6 (pow x 2)))))
#s(approx (* 1/6 x) #s(hole binary64 (* 1/6 x)))
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (/ (+ (* 1/36 (* (* (* x x) x) x)) -1/4) (+ (* (* 1/6 x) x) 1/2)) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (/ (+ (* 1/36 (* (* (* x x) x) x)) -1/4) (+ (* (* 1/6 x) x) 1/2)) #s(hole binary64 (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* 1/36 (* (* (* x x) x) x)) -1/4) #s(hole binary64 (* 1/36 (pow x 4))))
#s(approx (+ (* 1/36 (* (* (* x x) x) x)) -1/4) #s(hole binary64 (* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4)))))))
#s(approx (+ (* (* 1/6 x) x) 1/2) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (+ (* (* 1/6 x) x) 1/2) #s(hole binary64 (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))))

Outputs
#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
(.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
(.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)))) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
(.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64) #s(literal 1/8 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) (*.f64 x x)))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 1/36 binary64) (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal 1/2 binary64)))) (.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 1/36 binary64) (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal 1/2 binary64))))) (.f64 (/.f64 #s(literal 1/4 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 x #s(literal 4 binary64)) (/.f64 #s(literal 1/36 binary64) (fma.f64 (.f64 #s(literal 1/6 binary64) 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 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 1/36 binary64) (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal -1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 1/36 binary64) (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal 1/2 binary64)))) (.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 1/36 binary64) (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal 1/2 binary64)))) (-.f64 (.f64 (/.f64 #s(literal 1/4 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 x #s(literal 4 binary64)) (/.f64 #s(literal 1/36 binary64) (fma.f64 (.f64 #s(literal 1/6 binary64) 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 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64) (fma.f64 #s(literal 1/12 binary64) (.f64 x x) #s(literal 1/4 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1/4 binary64)))) (neg.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))))
(/.f64 (fma.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal 1/2 binary64)) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal 1/2 binary64)) #s(literal -1/4 binary64))) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal 1/2 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 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1/2 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) #s(literal 2 binary64)) #s(literal 1/16 binary64)) (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1/2 binary64))))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) #s(literal 1/8 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64) (fma.f64 #s(literal 1/12 binary64) (.f64 x x) #s(literal 1/4 binary64))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 1/46656 binary64) #s(literal -1/64 binary64)) (.f64 (-.f64 (+.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) #s(literal 2 binary64)) #s(literal 1/16 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/144 binary64))) (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal 1/2 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1/2 binary64))))
(neg.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))))
(fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #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))))
(fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)))) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))))
(fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64) #s(literal 1/8 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) (.f64 x x)))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal -1/2 binary64))))
(fma.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1/2 binary64)))))
(fma.f64 (/.f64 #s(literal -1/4 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)))) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64))) (.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1/2 binary64)))))
(fma.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64) #s(literal 1/8 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) (.f64 x x)))) (.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 1/36 binary64) (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal 1/2 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 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/36 binary64)) (/.f64 x (fma.f64 (.f64 #s(literal 1/6 binary64) 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))))
(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 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 1/36 binary64) (fma.f64 (.f64 #s(literal 1/6 binary64) 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))))
(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 1/36 binary64) (/.f64 (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 #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 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64) (fma.f64 #s(literal 1/12 binary64) (.f64 x x) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1/8 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64) (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1/4 binary64)))))
(-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 1/36 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 x x) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(+.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal -1/2 binary64))) (.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1/2 binary64)))))
(+.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 1/36 binary64) (fma.f64 (.f64 #s(literal 1/6 binary64) 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 (.f64 x x) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))
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#s(approx (+ (* 1/36 (* (* (* x x) x) x)) -1/4) (*.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal -1/4 binary64) #s(literal 1/36 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (* 1/6 x) x) 1/2) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (+ (* (* 1/6 x) x) 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))

eval24.0ms (2%)

Memory: 3.4MiB live, 49.8MiB allocated; 6ms collecting garbage
Compiler: Compiled 5 646 to 824 computations (85.4% saved)

prune8.0ms (0.7%)

Memory

-28.1MiB live, 19.5MiB allocated; 1ms collecting garbage

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	196	1	197
Fresh	0	0	0
Picked	1	0	1
Done	0	6	6
Total	197	7	204

Accuracy

100.0%

Counts

204 → 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))
✓	99.8%	(fma.f64 x #s(approx (/ x 6) (*.f64 #s(literal 1/6 binary64) x)) #s(literal -1/2 binary64))
✓	51.8%	(/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64))
	14.9%	#s(approx (/ (- (* x x) 3) 6) (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/4 binary64)) #s(approx (+ ( (* 1/6 x) x) 1/2) (.f64 (.f64 x x) #s(literal 1/6 binary64)))))
✓	51.7%	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
✓	51.7%	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 #s(literal 1/6 binary64) x) x))
✓	47.9%	#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

Compiler

Compiled 255 to 121 computations (52.5% saved)

regimes13.0ms (1.1%)

Memory

32.7MiB live, 32.7MiB allocated; 0ms collecting garbage

Counts

11 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 #s(literal 1/6 binary64) x) x))
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
(fma.f64 x #s(approx (/ x 6) (*.f64 #s(literal 1/6 binary64) x)) #s(literal -1/2 binary64))
(/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64))
(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))
#s(approx (/ (- (* x x) 3) 6) (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/4 binary64)) #s(approx (+ ( (* 1/6 x) x) 1/2) (.f64 (.f64 x x) #s(literal 1/6 binary64)))))
#s(approx (/ (- (* x x) 3) 6) (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/4 binary64)) (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal 1/2 binary64))))
#s(approx (/ (- (* x x) 3) 6) (/.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))))

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

Calls

4 calls:

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

regimes21.0ms (1.8%)

Memory

-24.8MiB live, 26.4MiB allocated; 13ms 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)))
(fma.f64 x #s(approx (/ x 6) (*.f64 #s(literal 1/6 binary64) x)) #s(literal -1/2 binary64))
(/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64))

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:

13.0ms	(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
4.0ms	(-.f64 (*.f64 x x) #s(literal 3 binary64))
2.0ms	x
2.0ms	(*.f64 x x)

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 (0.5%)

Memory

15.1MiB live, 15.1MiB allocated; 0ms collecting garbage

Counts

3 → 2

Calls

Call 1

Inputs

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

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

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
97.9%	2	`(*.f64 x x)`
97.9%	2	`(-.f64 (*.f64 x x) #s(literal 3 binary64))`
97.9%	2	`(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))`
97.9%	2	`x`

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes5.0ms (0.4%)

Memory

14.4MiB live, 14.4MiB allocated; 0ms 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 #s(literal 1/6 binary64) x) x))

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
97.9%	2	`(*.f64 x x)`
97.9%	2	`(-.f64 (*.f64 x x) #s(literal 3 binary64))`
97.9%	2	`(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))`
97.9%	2	`x`

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes5.0ms (0.4%)

Memory

-36.7MiB live, 12.3MiB allocated; 1ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
47.9%	1	`(*.f64 x x)`
47.9%	1	`(-.f64 (*.f64 x x) #s(literal 3 binary64))`
47.9%	1	`(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))`
47.9%	1	`x`

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch6.0ms (0.5%)

Memory

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

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
5.0ms	0.6933597969777217	2.1764366623848868

Samples

2.0ms

80×

valid

Compiler

Compiled 120 to 110 computations (8.3% saved)

Precisions

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

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

adjust: 0.0ms (0% of total)

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

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

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
0.0ms	0.6933597969777217	2.1764366623848868

Compiler

Compiled 120 to 110 computations (8.3% saved)

derivations18.0ms (1.5%)

Memory

-13.7MiB live, 33.7MiB allocated; 1ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 81 to 24 computations (70.4% saved)

preprocess26.0ms (2.2%)

Memory: 18.5MiB live, 65.5MiB allocated; 3ms collecting garbage
Remove: (abs x)
Compiler: Compiled 338 to 168 computations (50.3% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample595.0ms (49.9%)

explain68.0ms (5.7%)

preprocess10.0ms (0.8%)

series3.0ms (0.2%)

rewrite63.0ms (5.3%)

eval6.0ms (0.5%)

prune4.0ms (0.3%)

series6.0ms (0.5%)

rewrite59.0ms (4.9%)

eval19.0ms (1.6%)

prune6.0ms (0.5%)

series7.0ms (0.6%)

rewrite82.0ms (6.9%)

eval20.0ms (1.7%)

prune8.0ms (0.7%)

series6.0ms (0.5%)

rewrite97.0ms (8.1%)

eval24.0ms (2%)

prune8.0ms (0.7%)

regimes13.0ms (1.1%)

regimes21.0ms (1.8%)

regimes6.0ms (0.5%)

regimes5.0ms (0.4%)

regimes5.0ms (0.4%)

bsearch6.0ms (0.5%)

bsearch1.0ms (0.1%)

derivations18.0ms (1.5%)

preprocess26.0ms (2.2%)

end0.0ms (0%)

Profiling