Metrics for 2cbrt (problem 3.3.4)

start0.0ms (0%)

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

analyze2.0ms (0.1%)

Memory

4.3MiB live, 4.3MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	25%	75%	0%	0%	0%	0
0%	0%	25%	75%	0%	0%	0%	1
50%	12.5%	12.5%	75%	0%	0%	0%	2
75%	18.7%	6.2%	75%	0%	0%	0%	3
87.5%	21.9%	3.1%	75%	0%	0%	0%	4
93.8%	23.4%	1.6%	75%	0%	0%	0%	5
96.9%	24.2%	0.8%	75%	0%	0%	0%	6
98.4%	24.6%	0.4%	75%	0%	0%	0%	7
99.2%	24.8%	0.2%	75%	0%	0%	0%	8
99.6%	24.9%	0.1%	75%	0%	0%	0%	9
99.8%	24.9%	0%	75%	0%	0%	0%	10
99.9%	25%	0%	75%	0%	0%	0%	11
100%	25%	0%	75%	0%	0%	0%	12

Compiler

Compiled 15 to 11 computations (26.7% saved)

sample1.3s (49.3%)

Memory

24.5MiB live, 1 493.4MiB allocated; 160ms collecting garbage

Samples

691.0ms	6 382×	1	valid
280.0ms	1 736×	2	valid
5.0ms	138×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 744.0ms

ival-cbrt: 270.0ms (36.3% of total)

adjust: 270.0ms (36.3% of total)

ival-add: 108.0ms (14.5% of total)

ival-sub: 86.0ms (11.6% of total)

exact: 8.0ms (1.1% of total)

ival-assert: 2.0ms (0.3% of total)

ival-and: 0.0ms (0% of total)

const: 0.0ms (0% of total)

ival->: 0.0ms (0% of total)

ival-<: 0.0ms (0% of total)

Bogosity

explain111.0ms (4.2%)

Memory

-26.9MiB live, 121.9MiB allocated; 8ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
255	1	(50.92825969229092)	-	`(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))`
0	0	-	-	`(+.f64 x #s(literal 1 binary64))`
0	0	-	-	`(cbrt.f64 (+.f64 x #s(literal 1 binary64)))`
0	0	-	-	`#s(literal 1 binary64)`
0	0	-	-	`(cbrt.f64 x)`
0	0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))`	cancellation	256	0

Confusion

	Predicted +	Predicted -
+	256	0
-	0	0

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
1	256

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

41.0ms	396×	1	valid
22.0ms	110×	2	valid
0.0ms	6×	0	valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-cbrt: 16.0ms (38.4% of total)

adjust: 15.0ms (36% of total)

ival-add: 6.0ms (14.4% of total)

ival-sub: 5.0ms (12% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

preprocess216.0ms (8.2%)

Memory

7.0MiB live, 97.8MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	26
1	16	26
2	19	26
3	33	26
4	76	26
5	321	24
6	2820	24
7	6223	24
0	6	7
0	10	7
1	13	7
2	16	7
3	27	7
4	61	7
5	252	7
6	2195	7
7	5491	7
0	8635	7

Stop Event

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

Calls

Call 1

Inputs
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))

Outputs
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
(-.f64 (cbrt.f64 (-.f64 x #s(literal -1 binary64))) (cbrt.f64 x))

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	6.8%	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))

Compiler

Compiled 7 to 6 computations (14.3% saved)

series15.0ms (0.6%)

Memory

11.6MiB live, 11.6MiB allocated; 0ms collecting garbage

Counts

6 → 31

Calls

Call 1

Inputs
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
(cbrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(cbrt.f64 x)

Outputs
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (- 1 (cbrt x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (- (+ 1 (* 1/3 x)) (cbrt x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))))
#s(approx (cbrt (+ x 1)) #s(hole binary64 1))
#s(approx (cbrt (+ x 1)) #s(hole binary64 (+ 1 (* 1/3 x))))
#s(approx (cbrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/3 (* -1/9 x))))))
#s(approx (cbrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9)))))))
#s(approx (+ x 1) #s(hole binary64 1))
#s(approx (+ x 1) #s(hole binary64 (+ 1 x)))
#s(approx x #s(hole binary64 x))
#s(approx (cbrt x) #s(hole binary64 (cbrt x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (* 1/3 (cbrt (/ 1 (pow x 2))))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2))))
#s(approx (cbrt (+ x 1)) #s(hole binary64 (cbrt x)))
#s(approx (cbrt (+ x 1)) #s(hole binary64 (* x (+ (cbrt (/ 1 (pow x 2))) (* 1/3 (cbrt (/ 1 (pow x 5))))))))
#s(approx (cbrt (+ x 1)) #s(hole binary64 (* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))))))
#s(approx (cbrt (+ x 1)) #s(hole binary64 (* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 5/81 (cbrt (/ 1 (pow x 11)))) (* 1/3 (cbrt (/ 1 (pow x 5))))))))))
#s(approx (+ x 1) #s(hole binary64 x))
#s(approx (+ x 1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))))
#s(approx (cbrt (+ x 1)) #s(hole binary64 (* -1 (* (cbrt x) (cbrt -1)))))
#s(approx (cbrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))))
#s(approx (cbrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))))
#s(approx (cbrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))))
#s(approx (cbrt x) #s(hole binary64 (* -1 (* (cbrt x) (cbrt -1)))))

Calls

3 calls:

Time	Variable		Point	Expression
7.0ms	x	@	-inf	((- (cbrt (+ x 1)) (cbrt x)) (cbrt (+ x 1)) (+ x 1) x 1 (cbrt x))
5.0ms	x	@	inf	((- (cbrt (+ x 1)) (cbrt x)) (cbrt (+ x 1)) (+ x 1) x 1 (cbrt x))
2.0ms	x	@	0	((- (cbrt (+ x 1)) (cbrt x)) (cbrt (+ x 1)) (+ x 1) x 1 (cbrt x))

rewrite177.0ms (6.7%)

Memory

7.8MiB live, 104.1MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	184	762
0	189	669
1	964	611
0	8581	546

Stop Event

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

Counts

37 → 85

Calls

Call 1

Inputs
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
(cbrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(cbrt.f64 x)
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (- 1 (cbrt x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (- (+ 1 (* 1/3 x)) (cbrt x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))))
#s(approx (cbrt (+ x 1)) #s(hole binary64 1))
#s(approx (cbrt (+ x 1)) #s(hole binary64 (+ 1 (* 1/3 x))))
#s(approx (cbrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/3 (* -1/9 x))))))
#s(approx (cbrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9)))))))
#s(approx (+ x 1) #s(hole binary64 1))
#s(approx (+ x 1) #s(hole binary64 (+ 1 x)))
#s(approx x #s(hole binary64 x))
#s(approx (cbrt x) #s(hole binary64 (cbrt x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (* 1/3 (cbrt (/ 1 (pow x 2))))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2))))
#s(approx (cbrt (+ x 1)) #s(hole binary64 (cbrt x)))
#s(approx (cbrt (+ x 1)) #s(hole binary64 (* x (+ (cbrt (/ 1 (pow x 2))) (* 1/3 (cbrt (/ 1 (pow x 5))))))))
#s(approx (cbrt (+ x 1)) #s(hole binary64 (* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))))))
#s(approx (cbrt (+ x 1)) #s(hole binary64 (* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 5/81 (cbrt (/ 1 (pow x 11)))) (* 1/3 (cbrt (/ 1 (pow x 5))))))))))
#s(approx (+ x 1) #s(hole binary64 x))
#s(approx (+ x 1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))))
#s(approx (cbrt (+ x 1)) #s(hole binary64 (* -1 (* (cbrt x) (cbrt -1)))))
#s(approx (cbrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))))
#s(approx (cbrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))))
#s(approx (cbrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))))
#s(approx (cbrt x) #s(hole binary64 (* -1 (* (cbrt x) (cbrt -1)))))

Outputs
(/.f64 (neg.f64 (-.f64 (pow.f64 (cbrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) (neg.f64 (+.f64 (cbrt.f64 (-.f64 x #s(literal -1 binary64))) (cbrt.f64 x))))
(/.f64 (neg.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x)) (neg.f64 (+.f64 (pow.f64 (cbrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 x #s(literal -1 binary64))))))))
(/.f64 (-.f64 (pow.f64 (cbrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (+.f64 (cbrt.f64 (-.f64 x #s(literal -1 binary64))) (cbrt.f64 x)))
(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (+.f64 (pow.f64 (cbrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 x #s(literal -1 binary64)))))))
(-.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 (cbrt.f64 (-.f64 x #s(literal -1 binary64))) (cbrt.f64 x))) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (+.f64 (cbrt.f64 (-.f64 x #s(literal -1 binary64))) (cbrt.f64 x))))
(-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (pow.f64 (cbrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 x #s(literal -1 binary64))))))) (/.f64 x (+.f64 (pow.f64 (cbrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 x #s(literal -1 binary64))))))))
(-.f64 (cbrt.f64 (-.f64 x #s(literal -1 binary64))) (cbrt.f64 x))
(*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/6 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/6 binary64)))
(pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/3 binary64))
(/.f64 (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (cbrt.f64 (-.f64 x #s(literal 1 binary64))))
(/.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (cbrt.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (cbrt.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (cbrt.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x (neg.f64 x)))))
(cbrt.f64 (-.f64 x #s(literal -1 binary64)))
(exp.f64 (*.f64 (log1p.f64 x) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 3/2 binary64)) (pow.f64 (cbrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 x #s(literal -1 binary64))))
(*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) x)
(*.f64 (cbrt.f64 (-.f64 x #s(literal -1 binary64))) (pow.f64 (cbrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)))
(*.f64 x (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(pow.f64 (cbrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 3 binary64))
(pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -3 binary64))) x) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal -1 binary64))))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -3 binary64)))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal -1 binary64))))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (-.f64 x #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x (neg.f64 x)))))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x (neg.f64 x))))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))
(-.f64 x (*.f64 (neg.f64 x) (pow.f64 x #s(literal -1 binary64))))
(-.f64 x (*.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64))) x))
(-.f64 x #s(literal -1 binary64))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 3 binary64)))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x (neg.f64 x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 x x (neg.f64 x)))))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(*.f64 (pow.f64 x #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cbrt.f64 x))
(pow.f64 x #s(literal 1/3 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (cbrt.f64 x)) #s(literal 2 binary64))
(/.f64 (*.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(cbrt.f64 x)
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (-.f64 #s(literal 1 binary64) (cbrt.f64 x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (fma.f64 (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/3 binary64)) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/81 binary64) x #s(literal -1/9 binary64)) x #s(literal 1/3 binary64)) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x))))
#s(approx (cbrt (+ x 1)) #s(literal 1 binary64))
#s(approx (cbrt (+ x 1)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1 binary64)))
#s(approx (cbrt (+ x 1)) (fma.f64 (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/3 binary64)) x #s(literal 1 binary64)))
#s(approx (cbrt (+ x 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/81 binary64) x #s(literal -1/9 binary64)) x #s(literal 1/3 binary64)) x #s(literal 1 binary64)))
#s(approx (+ x 1) #s(literal 1 binary64))
#s(approx (+ x 1) (-.f64 x #s(literal -1 binary64)))
#s(approx x x)
#s(approx (cbrt x) (cbrt.f64 x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (.f64 x x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 5/81 binary64) (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (.f64 #s(literal -1/9 binary64) (cbrt.f64 x)))) (.f64 x x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -10/243 binary64) (fma.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 5/81 binary64) (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (.f64 #s(literal -1/9 binary64) (cbrt.f64 x))))) (.f64 x x)))
#s(approx (cbrt (+ x 1)) (cbrt.f64 x))
#s(approx (cbrt (+ x 1)) (*.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))) x))
#s(approx (cbrt (+ x 1)) (*.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal -8 binary64))) #s(literal -1/9 binary64) (fma.f64 (cbrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal -2 binary64))))) x))
#s(approx (cbrt (+ x 1)) (.f64 (+.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal -11 binary64))) #s(literal 5/81 binary64) (fma.f64 (cbrt.f64 (pow.f64 x #s(literal -8 binary64))) #s(literal -1/9 binary64) (.f64 (cbrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal 1/3 binary64)))) (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))) x))
#s(approx (+ x 1) x)
#s(approx (+ x 1) (-.f64 x #s(literal -1 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (/.f64 (cbrt.f64 x) (pow.f64 #s(literal 1 binary64) #s(literal 5/2 binary64))) #s(literal 1/9 binary64) (.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64))) (.f64 x x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (/.f64 (fma.f64 #s(literal 1/9 binary64) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 10 binary64))) (pow.f64 #s(literal 1 binary64) #s(literal 5/2 binary64))) (.f64 #s(literal 5/81 binary64) (cbrt.f64 (pow.f64 x #s(literal 7 binary64))))) (pow.f64 x #s(literal 3 binary64)))) (.f64 x x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (/.f64 (fma.f64 #s(literal 1/9 binary64) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 10 binary64))) (pow.f64 #s(literal 1 binary64) #s(literal 5/2 binary64))) (/.f64 (fma.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 13 binary64))) (pow.f64 #s(literal 1 binary64) #s(literal 11/2 binary64))) #s(literal 10/243 binary64) (.f64 (cbrt.f64 (pow.f64 x #s(literal 16 binary64))) #s(literal 5/81 binary64))) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 3 binary64)))) (.f64 x x)))
#s(approx (cbrt (+ x 1)) (neg.f64 (cbrt.f64 (neg.f64 x))))
#s(approx (cbrt (+ x 1)) (.f64 (neg.f64 x) (fma.f64 #s(literal -1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal -5 binary64))) (cbrt.f64 (.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -2 binary64)))))))
#s(approx (cbrt (+ x 1)) (.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (/.f64 (cbrt.f64 x) (pow.f64 #s(literal 1 binary64) #s(literal 5/2 binary64))) #s(literal 1/9 binary64) (.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64))) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64) (cbrt.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -2 binary64)))))))
#s(approx (cbrt (+ x 1)) (.f64 (neg.f64 x) (fma.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (/.f64 (fma.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 10 binary64))) (pow.f64 #s(literal 1 binary64) #s(literal 5/2 binary64))) #s(literal -1/9 binary64) (.f64 (cbrt.f64 (pow.f64 x #s(literal 7 binary64))) #s(literal -5/81 binary64))) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 3 binary64))))))
#s(approx (cbrt x) (neg.f64 (cbrt.f64 (neg.f64 x))))

eval10.0ms (0.4%)

Memory: 11.0MiB live, 11.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 399 to 368 computations (73.7% saved)

prune18.0ms (0.7%)

Memory

-32.3MiB live, 14.7MiB allocated; 2ms collecting garbage

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	76	9	85
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	77	9	86

Accuracy

54.6%

Counts

86 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	10.1%	(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (+.f64 (pow.f64 (cbrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 x #s(literal -1 binary64)))))))
	4.7%	(-.f64 (exp.f64 (*.f64 (log1p.f64 x) #s(literal 1/3 binary64))) (cbrt.f64 x))
	6.8%	(-.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 3 binary64))) (cbrt.f64 x))
	7.7%	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64)))
	7.3%	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (exp.f64 (*.f64 (log.f64 x) #s(literal 1/3 binary64))))
	6.8%	(-.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 x #s(literal -1 binary64))))) (cbrt.f64 x))
	5.9%	(-.f64 (cbrt.f64 (exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 3 binary64)))) (cbrt.f64 x))
	27.8%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -10/243 binary64) (fma.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 5/81 binary64) (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (.f64 #s(literal -1/9 binary64) (cbrt.f64 x))))) (.f64 x x)))
▶	52.8%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1/3 binary64)))

Compiler

Compiled 268 to 208 computations (22.4% saved)

series8.0ms (0.3%)

Memory

8.7MiB live, 8.7MiB allocated; 0ms collecting garbage

Counts

7 → 16

Calls

Call 1

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

Outputs
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (- 1 (cbrt x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (- (+ 1 (* 1/3 x)) (cbrt x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))))
#s(approx (* (cbrt (pow x -2)) 1/3) #s(hole binary64 (* 1/3 (cbrt (/ 1 (pow x 2))))))
#s(approx (cbrt (pow x -2)) #s(hole binary64 (cbrt (/ 1 (pow x 2)))))
#s(approx (pow x -2) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx x #s(hole binary64 x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (* 1/3 (cbrt (/ 1 (pow x 2))))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))))

Calls

3 calls:

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

Time

Variable

Point

Expression

3.0ms

-inf

((- (cbrt (+ x 1)) (cbrt x)) (* (cbrt (pow x -2)) 1/3) (cbrt (pow x -2)) (pow x -2) x -2 1/3)

3.0ms

inf

((- (cbrt (+ x 1)) (cbrt x)) (* (cbrt (pow x -2)) 1/3) (cbrt (pow x -2)) (pow x -2) x -2 1/3)

2.0ms

((- (cbrt (+ x 1)) (cbrt x)) (* (cbrt (pow x -2)) 1/3) (cbrt (pow x -2)) (pow x -2) x -2 1/3)

rewrite165.0ms (6.3%)

Memory

-12.7MiB live, 85.2MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	132	450
0	137	406
1	682	374
0	6190	333

Stop Event

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

Counts

23 → 79

Calls

Call 1

Inputs
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 x #s(literal -2 binary64)))
(pow.f64 x #s(literal -2 binary64))
x
#s(literal -2 binary64)
#s(literal 1/3 binary64)
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (- 1 (cbrt x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (- (+ 1 (* 1/3 x)) (cbrt x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))))
#s(approx (* (cbrt (pow x -2)) 1/3) #s(hole binary64 (* 1/3 (cbrt (/ 1 (pow x 2))))))
#s(approx (cbrt (pow x -2)) #s(hole binary64 (cbrt (/ 1 (pow x 2)))))
#s(approx (pow x -2) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx x #s(hole binary64 x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (* 1/3 (cbrt (/ 1 (pow x 2))))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))))

Outputs
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1/3 binary64)))
(.f64 (.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1/3 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal -2 binary64))))
(.f64 #s(literal 1 binary64) (.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1/3 binary64)))
(/.f64 (.f64 (.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1/3 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1/3 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)) (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (cbrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal -1 binary64))))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -1 binary64))) (cbrt.f64 (pow.f64 x #s(literal -1 binary64))))
(*.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 x #s(literal -2 binary64))))
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 x x) #s(literal -1/3 binary64))
(pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64))
(pow.f64 x #s(literal -2/3 binary64))
(/.f64 (*.f64 #s(literal -1 binary64) (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))) #s(literal -1 binary64))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (neg.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))) #s(literal -1 binary64))
(/.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 #s(literal -1 binary64)))
(/.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (*.f64 (neg.f64 x) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)))
(cbrt.f64 (pow.f64 x #s(literal -2 binary64)))
(exp.f64 (/.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (.f64 x x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(*.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64))) (neg.f64 (pow.f64 x #s(literal -1 binary64))))
(*.f64 (fabs.f64 (pow.f64 x #s(literal -1 binary64))) (fabs.f64 (pow.f64 x #s(literal -1 binary64))))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal -2 binary64))
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal -1 binary64))
(pow.f64 x #s(literal -2 binary64))
(/.f64 (pow.f64 x #s(literal -1 binary64)) x)
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x))
(/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 x x)))
(/.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (.f64 (neg.f64 x) x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (neg.f64 x) x)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal -2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal -2 binary64))))
x
#s(literal -2 binary64)
#s(literal 1/3 binary64)
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (-.f64 #s(literal 1 binary64) (cbrt.f64 x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (fma.f64 (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/3 binary64)) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/81 binary64) x #s(literal -1/9 binary64)) x #s(literal 1/3 binary64)) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x))))
#s(approx (* (cbrt (pow x -2)) 1/3) (*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1/3 binary64)))
#s(approx (cbrt (pow x -2)) (cbrt.f64 (pow.f64 x #s(literal -2 binary64))))
#s(approx (pow x -2) (pow.f64 x #s(literal -2 binary64)))
#s(approx x x)
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (.f64 x x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 5/81 binary64) (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (.f64 #s(literal -1/9 binary64) (cbrt.f64 x)))) (.f64 x x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -10/243 binary64) (fma.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 5/81 binary64) (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (.f64 #s(literal -1/9 binary64) (cbrt.f64 x))))) (.f64 x x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (/.f64 (cbrt.f64 x) (pow.f64 #s(literal 1 binary64) #s(literal 5/2 binary64))) #s(literal 1/9 binary64) (.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64))) (.f64 x x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (/.f64 (fma.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 10 binary64))) (pow.f64 #s(literal 1 binary64) #s(literal 5/2 binary64))) #s(literal 1/9 binary64) (.f64 (cbrt.f64 (pow.f64 x #s(literal 7 binary64))) #s(literal 5/81 binary64))) (pow.f64 x #s(literal 3 binary64)))) (.f64 x x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (/.f64 (fma.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 10 binary64))) (pow.f64 #s(literal 1 binary64) #s(literal 5/2 binary64))) #s(literal 1/9 binary64) (/.f64 (fma.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 13 binary64))) (pow.f64 #s(literal 1 binary64) #s(literal 11/2 binary64))) #s(literal 10/243 binary64) (.f64 (cbrt.f64 (pow.f64 x #s(literal 16 binary64))) #s(literal 5/81 binary64))) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 3 binary64)))) (.f64 x x)))

eval9.0ms (0.3%)

Memory: 9.5MiB live, 9.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 414 to 341 computations (75.9% saved)

prune19.0ms (0.7%)

Memory

17.5MiB live, 17.5MiB allocated; 0ms collecting garbage

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	71	6	77
Fresh	6	2	8
Picked	0	1	1
Done	0	0	0
Total	77	9	86

Accuracy

99.3%

Counts

86 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	10.1%	(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (+.f64 (pow.f64 (cbrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 x #s(literal -1 binary64)))))))
	27.8%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -10/243 binary64) (fma.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 5/81 binary64) (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (.f64 #s(literal -1/9 binary64) (cbrt.f64 x))))) (.f64 x x)))
	96.9%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
▶	96.9%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1/3 binary64)))
	52.1%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 (/.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (.f64 (neg.f64 x) x))) #s(literal 1/3 binary64)))
	96.4%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 (.f64 (cbrt.f64 (pow.f64 x #s(literal -1 binary64))) (cbrt.f64 (pow.f64 x #s(literal -1 binary64)))) #s(literal 1/3 binary64)))
	89.7%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 (exp.f64 (.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64))) #s(literal 1/3 binary64)))
	52.8%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1/3 binary64)))
✓	52.8%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1/3 binary64)))

Compiler

Compiled 328 to 254 computations (22.6% saved)

series15.0ms (0.6%)

Memory

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

Counts

9 → 21

Calls

Call 1

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

Outputs
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (- 1 (cbrt x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (- (+ 1 (* 1/3 x)) (cbrt x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))))
#s(approx (* (pow (pow (cbrt x) 2) -1) 1/3) #s(hole binary64 (* 1/3 (cbrt (/ 1 (pow x 2))))))
#s(approx (pow (pow (cbrt x) 2) -1) #s(hole binary64 (cbrt (/ 1 (pow x 2)))))
#s(approx (pow (cbrt x) 2) #s(hole binary64 (cbrt (pow x 2))))
#s(approx (cbrt x) #s(hole binary64 (cbrt x)))
#s(approx x #s(hole binary64 x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (* 1/3 (cbrt (/ 1 (pow x 2))))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))))
#s(approx (* (pow (pow (cbrt x) 2) -1) 1/3) #s(hole binary64 (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))))
#s(approx (pow (pow (cbrt x) 2) -1) #s(hole binary64 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))))
#s(approx (pow (cbrt x) 2) #s(hole binary64 (* -1 (* (cbrt (pow x 2)) (pow (cbrt -1) 3)))))
#s(approx (cbrt x) #s(hole binary64 (* -1 (* (cbrt x) (cbrt -1)))))

Calls

3 calls:

Time	Variable		Point	Expression
7.0ms	x	@	-inf	((- (cbrt (+ x 1)) (cbrt x)) (* (pow (pow (cbrt x) 2) -1) 1/3) (pow (pow (cbrt x) 2) -1) (pow (cbrt x) 2) (cbrt x) x 2 -1 1/3)
4.0ms	x	@	inf	((- (cbrt (+ x 1)) (cbrt x)) (* (pow (pow (cbrt x) 2) -1) 1/3) (pow (pow (cbrt x) 2) -1) (pow (cbrt x) 2) (cbrt x) x 2 -1 1/3)
4.0ms	x	@	0	((- (cbrt (+ x 1)) (cbrt x)) (* (pow (pow (cbrt x) 2) -1) 1/3) (pow (pow (cbrt x) 2) -1) (pow (cbrt x) 2) (cbrt x) x 2 -1 1/3)

Time

Variable

Point

Expression

7.0ms

-inf

((- (cbrt (+ x 1)) (cbrt x)) (* (pow (pow (cbrt x) 2) -1) 1/3) (pow (pow (cbrt x) 2) -1) (pow (cbrt x) 2) (cbrt x) x 2 -1 1/3)

4.0ms

inf

((- (cbrt (+ x 1)) (cbrt x)) (* (pow (pow (cbrt x) 2) -1) 1/3) (pow (pow (cbrt x) 2) -1) (pow (cbrt x) 2) (cbrt x) x 2 -1 1/3)

4.0ms

((- (cbrt (+ x 1)) (cbrt x)) (* (pow (pow (cbrt x) 2) -1) 1/3) (pow (pow (cbrt x) 2) -1) (pow (cbrt x) 2) (cbrt x) x 2 -1 1/3)

rewrite197.0ms (7.5%)

Memory

2.2MiB live, 96.7MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	143	539
0	149	456
1	721	423
0	6474	373

Stop Event

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

Counts

30 → 113

Calls

Call 1

Inputs
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 2 binary64))
(cbrt.f64 x)
x
#s(literal 2 binary64)
#s(literal -1 binary64)
#s(literal 1/3 binary64)
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (- 1 (cbrt x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (- (+ 1 (* 1/3 x)) (cbrt x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))))
#s(approx (* (pow (pow (cbrt x) 2) -1) 1/3) #s(hole binary64 (* 1/3 (cbrt (/ 1 (pow x 2))))))
#s(approx (pow (pow (cbrt x) 2) -1) #s(hole binary64 (cbrt (/ 1 (pow x 2)))))
#s(approx (pow (cbrt x) 2) #s(hole binary64 (cbrt (pow x 2))))
#s(approx (cbrt x) #s(hole binary64 (cbrt x)))
#s(approx x #s(hole binary64 x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (* 1/3 (cbrt (/ 1 (pow x 2))))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))))
#s(approx (* (pow (pow (cbrt x) 2) -1) 1/3) #s(hole binary64 (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))))
#s(approx (pow (pow (cbrt x) 2) -1) #s(hole binary64 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))))
#s(approx (pow (cbrt x) 2) #s(hole binary64 (* -1 (* (cbrt (pow x 2)) (pow (cbrt -1) 3)))))
#s(approx (cbrt x) #s(hole binary64 (* -1 (* (cbrt x) (cbrt -1)))))

Outputs
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64)))
(.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -1 binary64))) (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)))
(.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/3 binary64)))
(.f64 (.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))
(.f64 #s(literal 1 binary64) (.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64)))
(/.f64 (.f64 (.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)) (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (cbrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64))) (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64))))
(*.f64 (fabs.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64))) (fabs.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))
(pow.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64))) (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x x) #s(literal -1/3 binary64))
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 #s(literal -1 binary64)))
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 (cbrt.f64 x) #s(literal -2 binary64))
(pow.f64 x #s(literal -2/3 binary64))
(/.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 #s(literal -1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x))
(/.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (*.f64 (neg.f64 x) x)))
(/.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)))
(cbrt.f64 (pow.f64 x #s(literal -2 binary64)))
(exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 (cbrt.f64 x)) #s(literal 2 binary64))))
(exp.f64 (neg.f64 (*.f64 (log.f64 (cbrt.f64 x)) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) #s(literal -2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 x)) #s(literal 2 binary64)) #s(literal -1 binary64)))
(+.f64 (cosh.f64 (.f64 (.f64 (log.f64 (cbrt.f64 x)) #s(literal 2 binary64)) #s(literal -1 binary64))) (sinh.f64 (.f64 (.f64 (log.f64 (cbrt.f64 x)) #s(literal 2 binary64)) #s(literal -1 binary64))))
(.f64 (pow.f64 (.f64 x x) #s(literal 1/6 binary64)) (pow.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(*.f64 (fabs.f64 (cbrt.f64 x)) (fabs.f64 (cbrt.f64 x)))
(*.f64 (exp.f64 (log.f64 (cbrt.f64 x))) (exp.f64 (log.f64 (cbrt.f64 x))))
(*.f64 (neg.f64 (cbrt.f64 x)) (neg.f64 (cbrt.f64 x)))
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
(pow.f64 (exp.f64 (log.f64 (cbrt.f64 x))) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 2 binary64))
(pow.f64 x #s(literal 2/3 binary64))
(cbrt.f64 (*.f64 x x))
(exp.f64 (/.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x x)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 (cbrt.f64 x)) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 (cbrt.f64 x)) #s(literal 2 binary64))))
(.f64 (.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64))) (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal -1 binary64) (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 x))
(.f64 (.f64 (neg.f64 (cbrt.f64 x)) #s(literal 1 binary64)) (cbrt.f64 #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 1/2 binary64)))
(*.f64 (neg.f64 (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 x))
(.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) (.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) (neg.f64 (cbrt.f64 x))))
(*.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 #s(literal -1 binary64)))
(*.f64 (neg.f64 (cbrt.f64 x)) #s(literal -1 binary64))
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (neg.f64 (cbrt.f64 x)))
(*.f64 #s(literal -1 binary64) (neg.f64 (cbrt.f64 x)))
(*.f64 (cbrt.f64 x) (neg.f64 (cbrt.f64 #s(literal -1 binary64))))
(*.f64 (cbrt.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cbrt.f64 x))
(pow.f64 (cbrt.f64 x) #s(literal 1 binary64))
(pow.f64 x #s(literal 1/3 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (cbrt.f64 x)) #s(literal 2 binary64))
(/.f64 (*.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 (cbrt.f64 x)) #s(literal 1 binary64)))
(neg.f64 (neg.f64 (cbrt.f64 x)))
(cbrt.f64 x)
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) #s(literal 1 binary64)))
x
#s(literal 2 binary64)
#s(literal -1 binary64)
#s(literal 1/3 binary64)
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (-.f64 #s(literal 1 binary64) (cbrt.f64 x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (fma.f64 (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/3 binary64)) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/81 binary64) x #s(literal -1/9 binary64)) x #s(literal 1/3 binary64)) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x))))
#s(approx (* (pow (pow (cbrt x) 2) -1) 1/3) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64)))
#s(approx (pow (pow (cbrt x) 2) -1) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))
#s(approx (pow (cbrt x) 2) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
#s(approx (cbrt x) (cbrt.f64 x))
#s(approx x x)
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (.f64 x x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (fma.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 5/81 binary64) (.f64 #s(literal -1/9 binary64) (cbrt.f64 x)))) (.f64 x x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -10/243 binary64) (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (fma.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 5/81 binary64) (.f64 #s(literal -1/9 binary64) (cbrt.f64 x))))) (.f64 x x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (/.f64 (cbrt.f64 x) (pow.f64 #s(literal 1 binary64) #s(literal 5/2 binary64))) #s(literal 1/9 binary64) (.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64))) (.f64 x x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (/.f64 (fma.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 10 binary64))) (pow.f64 #s(literal 1 binary64) #s(literal 5/2 binary64))) #s(literal 1/9 binary64) (.f64 (cbrt.f64 (pow.f64 x #s(literal 7 binary64))) #s(literal 5/81 binary64))) (pow.f64 x #s(literal 3 binary64)))) (.f64 x x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (/.f64 (fma.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 10 binary64))) (pow.f64 #s(literal 1 binary64) #s(literal 5/2 binary64))) #s(literal 1/9 binary64) (/.f64 (fma.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 13 binary64))) (pow.f64 #s(literal 1 binary64) #s(literal 11/2 binary64))) #s(literal 10/243 binary64) (.f64 (cbrt.f64 (pow.f64 x #s(literal 16 binary64))) #s(literal 5/81 binary64))) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 3 binary64)))) (.f64 x x)))
#s(approx (* (pow (pow (cbrt x) 2) -1) 1/3) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64)))
#s(approx (pow (pow (cbrt x) 2) -1) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))
#s(approx (pow (cbrt x) 2) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
#s(approx (cbrt x) (cbrt.f64 x))

eval17.0ms (0.7%)

Memory: -26.7MiB live, 19.7MiB allocated; 3ms collecting garbage
Compiler: Compiled 2 060 to 485 computations (76.5% saved)

prune49.0ms (1.9%)

Memory

3.5MiB live, 56.3MiB allocated; 10ms collecting garbage

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	101	7	108
Fresh	3	4	7
Picked	0	1	1
Done	0	1	1
Total	104	13	117

Accuracy

99.5%

Counts

117 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	10.1%	(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (+.f64 (pow.f64 (cbrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 x #s(literal -1 binary64)))))))
	27.8%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -10/243 binary64) (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (fma.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 5/81 binary64) (.f64 #s(literal -1/9 binary64) (cbrt.f64 x))))) (.f64 x x)))
▶	96.9%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64)))
	96.9%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
	96.5%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 (pow.f64 (pow.f64 (.f64 (pow.f64 (cbrt.f64 x) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1/3 binary64)))
✓	96.9%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1/3 binary64)))
	96.7%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
	29.2%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal -1/2 binary64)) #s(literal 1/3 binary64)))
	52.1%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 (pow.f64 (cbrt.f64 (.f64 x x)) #s(literal -1 binary64)) #s(literal 1/3 binary64)))
	96.7%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/3 binary64))))
	96.4%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 (.f64 (cbrt.f64 (pow.f64 x #s(literal -1 binary64))) (cbrt.f64 (pow.f64 x #s(literal -1 binary64)))) #s(literal 1/3 binary64)))
	52.8%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1/3 binary64)))
✓	52.8%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1/3 binary64)))

Compiler

Compiled 454 to 350 computations (22.9% saved)

series12.0ms (0.5%)

Memory

-26.0MiB live, 21.0MiB allocated; 2ms collecting garbage

Counts

9 → 21

Calls

Call 1

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

Outputs
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (- 1 (cbrt x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (- (+ 1 (* 1/3 x)) (cbrt x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))))
#s(approx (/ (* (pow (cbrt x) -2) 1/3) 1) #s(hole binary64 (* 1/3 (cbrt (/ 1 (pow x 2))))))
#s(approx (* (pow (cbrt x) -2) 1/3) #s(hole binary64 (* 1/3 (cbrt (/ 1 (pow x 2))))))
#s(approx (pow (cbrt x) -2) #s(hole binary64 (cbrt (/ 1 (pow x 2)))))
#s(approx (cbrt x) #s(hole binary64 (cbrt x)))
#s(approx x #s(hole binary64 x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (* 1/3 (cbrt (/ 1 (pow x 2))))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))))
#s(approx (/ (* (pow (cbrt x) -2) 1/3) 1) #s(hole binary64 (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))))
#s(approx (* (pow (cbrt x) -2) 1/3) #s(hole binary64 (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))))
#s(approx (pow (cbrt x) -2) #s(hole binary64 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))))
#s(approx (cbrt x) #s(hole binary64 (* -1 (* (cbrt x) (cbrt -1)))))

Calls

3 calls:

Time	Variable		Point	Expression
6.0ms	x	@	-inf	((- (cbrt (+ x 1)) (cbrt x)) (/ (* (pow (cbrt x) -2) 1/3) 1) (* (pow (cbrt x) -2) 1/3) (pow (cbrt x) -2) (cbrt x) x -2 1/3 1)
3.0ms	x	@	inf	((- (cbrt (+ x 1)) (cbrt x)) (/ (* (pow (cbrt x) -2) 1/3) 1) (* (pow (cbrt x) -2) 1/3) (pow (cbrt x) -2) (cbrt x) x -2 1/3 1)
3.0ms	x	@	0	((- (cbrt (+ x 1)) (cbrt x)) (/ (* (pow (cbrt x) -2) 1/3) 1) (* (pow (cbrt x) -2) 1/3) (pow (cbrt x) -2) (cbrt x) x -2 1/3 1)

Time

Variable

Point

Expression

6.0ms

-inf

((- (cbrt (+ x 1)) (cbrt x)) (/ (* (pow (cbrt x) -2) 1/3) 1) (* (pow (cbrt x) -2) 1/3) (pow (cbrt x) -2) (cbrt x) x -2 1/3 1)

3.0ms

inf

((- (cbrt (+ x 1)) (cbrt x)) (/ (* (pow (cbrt x) -2) 1/3) 1) (* (pow (cbrt x) -2) 1/3) (pow (cbrt x) -2) (cbrt x) x -2 1/3 1)

3.0ms

((- (cbrt (+ x 1)) (cbrt x)) (/ (* (pow (cbrt x) -2) 1/3) 1) (* (pow (cbrt x) -2) 1/3) (pow (cbrt x) -2) (cbrt x) x -2 1/3 1)

rewrite185.0ms (7%)

Memory

28.7MiB live, 171.9MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	140	547
0	146	466
1	699	433
0	6291	383

Stop Event

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

Counts

30 → 98

Calls

Call 1

Inputs
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 x) #s(literal -2 binary64))
(cbrt.f64 x)
x
#s(literal -2 binary64)
#s(literal 1/3 binary64)
#s(literal 1 binary64)
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (- 1 (cbrt x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (- (+ 1 (* 1/3 x)) (cbrt x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))))
#s(approx (/ (* (pow (cbrt x) -2) 1/3) 1) #s(hole binary64 (* 1/3 (cbrt (/ 1 (pow x 2))))))
#s(approx (* (pow (cbrt x) -2) 1/3) #s(hole binary64 (* 1/3 (cbrt (/ 1 (pow x 2))))))
#s(approx (pow (cbrt x) -2) #s(hole binary64 (cbrt (/ 1 (pow x 2)))))
#s(approx (cbrt x) #s(hole binary64 (cbrt x)))
#s(approx x #s(hole binary64 x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (* 1/3 (cbrt (/ 1 (pow x 2))))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))))
#s(approx (/ (* (pow (cbrt x) -2) 1/3) 1) #s(hole binary64 (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))))
#s(approx (* (pow (cbrt x) -2) 1/3) #s(hole binary64 (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))))
#s(approx (pow (cbrt x) -2) #s(hole binary64 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))))
#s(approx (cbrt x) #s(hole binary64 (* -1 (* (cbrt x) (cbrt -1)))))

Outputs
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64)))
(.f64 (/.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) #s(literal -2 binary64)) #s(literal 2 binary64))
(.f64 (/.f64 (.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -1 binary64))) (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)))
(.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/3 binary64)))
(.f64 (.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))
(.f64 #s(literal 1 binary64) (.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64)))
(/.f64 (.f64 (.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(neg.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))))
(.f64 (/.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) #s(literal -2 binary64)) #s(literal 2 binary64))
(.f64 (/.f64 (.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -1 binary64))) (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)))
(.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/3 binary64)))
(.f64 (.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))
(.f64 #s(literal 1 binary64) (.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64)))
(/.f64 (.f64 (.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(neg.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))))
(*.f64 (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)) (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (cbrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal -1 binary64))))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64))) (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64))))
(*.f64 (fabs.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64))) (fabs.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))
(pow.f64 (exp.f64 (log.f64 (cbrt.f64 x))) #s(literal -2 binary64))
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x x) #s(literal -1/3 binary64))
(pow.f64 (cbrt.f64 x) #s(literal -2 binary64))
(pow.f64 x #s(literal -2/3 binary64))
(/.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 #s(literal -1 binary64)))
(/.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (*.f64 (neg.f64 x) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(/.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)))
(cbrt.f64 (pow.f64 x #s(literal -2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) #s(literal -2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 (cbrt.f64 x)) #s(literal -2 binary64))) (sinh.f64 (.f64 (log.f64 (cbrt.f64 x)) #s(literal -2 binary64))))
(*.f64 (pow.f64 x #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cbrt.f64 x))
(pow.f64 x #s(literal 1/3 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (cbrt.f64 x)) #s(literal 2 binary64))
(/.f64 (*.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(cbrt.f64 x)
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/3 binary64)))
x
#s(literal -2 binary64)
#s(literal 1/3 binary64)
#s(literal 1 binary64)
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (-.f64 #s(literal 1 binary64) (cbrt.f64 x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (fma.f64 (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/3 binary64)) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/81 binary64) x #s(literal -1/9 binary64)) x #s(literal 1/3 binary64)) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x))))
#s(approx (/ (* (pow (cbrt x) -2) 1/3) 1) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64)))
#s(approx (/ (* (pow (cbrt x) -2) 1/3) 1) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64)))
#s(approx (pow (cbrt x) -2) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))
#s(approx (cbrt x) (cbrt.f64 x))
#s(approx x x)
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (.f64 x x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (fma.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 5/81 binary64) (.f64 #s(literal -1/9 binary64) (cbrt.f64 x)))) (.f64 x x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -10/243 binary64) (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (fma.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 5/81 binary64) (.f64 #s(literal -1/9 binary64) (cbrt.f64 x))))) (.f64 x x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (/.f64 (cbrt.f64 x) (pow.f64 #s(literal 1 binary64) #s(literal 5/2 binary64))) #s(literal 1/9 binary64) (.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64))) (.f64 x x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (/.f64 (fma.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 10 binary64))) (pow.f64 #s(literal 1 binary64) #s(literal 5/2 binary64))) #s(literal 1/9 binary64) (.f64 (cbrt.f64 (pow.f64 x #s(literal 7 binary64))) #s(literal 5/81 binary64))) (pow.f64 x #s(literal 3 binary64)))) (.f64 x x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (/.f64 (fma.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 10 binary64))) (pow.f64 #s(literal 1 binary64) #s(literal 5/2 binary64))) #s(literal 1/9 binary64) (/.f64 (fma.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 13 binary64))) (pow.f64 #s(literal 1 binary64) #s(literal 11/2 binary64))) #s(literal 10/243 binary64) (.f64 (cbrt.f64 (pow.f64 x #s(literal 16 binary64))) #s(literal 5/81 binary64))) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 3 binary64)))) (.f64 x x)))
#s(approx (/ (* (pow (cbrt x) -2) 1/3) 1) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64)))
#s(approx (/ (* (pow (cbrt x) -2) 1/3) 1) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64)))
#s(approx (pow (cbrt x) -2) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))
#s(approx (cbrt x) (neg.f64 (cbrt.f64 (neg.f64 x))))

eval9.0ms (0.3%)

Memory: 13.4MiB live, 13.4MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 501 to 357 computations (76.2% saved)

prune35.0ms (1.3%)

Memory

-2.9MiB live, 44.3MiB allocated; 2ms collecting garbage

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	75	2	77
Fresh	2	8	10
Picked	0	1	1
Done	0	2	2
Total	77	13	90

Accuracy

99.5%

Counts

90 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	10.1%	(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (+.f64 (pow.f64 (cbrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 x #s(literal -1 binary64)))))))
	27.8%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -10/243 binary64) (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (fma.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 5/81 binary64) (.f64 #s(literal -1/9 binary64) (cbrt.f64 x))))) (.f64 x x)))
	96.7%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64)))
✓	96.9%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64)))
	52.1%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (.f64 (/.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (.f64 (neg.f64 x) x))) #s(literal 1/3 binary64)) #s(literal 1 binary64)))
	96.9%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
	96.5%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 (pow.f64 (pow.f64 (.f64 (pow.f64 (cbrt.f64 x) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1/3 binary64)))
✓	96.9%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1/3 binary64)))
	29.2%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal -1/2 binary64)) #s(literal 1/3 binary64)))
	96.7%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/3 binary64))))
	96.4%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 (.f64 (cbrt.f64 (pow.f64 x #s(literal -1 binary64))) (cbrt.f64 (pow.f64 x #s(literal -1 binary64)))) #s(literal 1/3 binary64)))
	52.8%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1/3 binary64)))
✓	52.8%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1/3 binary64)))

Compiler

Compiled 667 to 530 computations (20.5% saved)

derivations53.0ms (2%)

Memory

-20.2MiB live, 27.4MiB allocated; 1ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 16 to 14 computations (12.5% saved)

preprocess11.0ms (0.4%)

Memory: 14.8MiB live, 14.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 46 to 40 computations (13% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze2.0ms (0.1%)

sample1.3s (49.3%)

explain111.0ms (4.2%)

preprocess216.0ms (8.2%)

eval0.0ms (0%)

prune0.0ms (0%)

series15.0ms (0.6%)

rewrite177.0ms (6.7%)

eval10.0ms (0.4%)

prune18.0ms (0.7%)

series8.0ms (0.3%)

rewrite165.0ms (6.3%)

eval9.0ms (0.3%)

prune19.0ms (0.7%)

series15.0ms (0.6%)

rewrite197.0ms (7.5%)

eval17.0ms (0.7%)

prune49.0ms (1.9%)

series12.0ms (0.5%)

rewrite185.0ms (7%)

eval9.0ms (0.3%)

prune35.0ms (1.3%)

derivations53.0ms (2%)

preprocess11.0ms (0.4%)

end0.0ms (0%)

Profiling