Metrics for 2cbrt (problem 3.3.4)

analyze3.0ms (0%)

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 10 computations (33.3% saved)

Precisions

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

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

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

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

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

...c/correct-round.rkt:119:19: 0.0ms (0% of total)

const: 0.0ms (0% of total)

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

backward-pass: 0.0ms (0% of total)

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

sample2.2s (20.8%)

Results

779.0ms	4839×	1	valid
771.0ms	3247×	2	valid
14.0ms	170×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.1s

ival-cbrt: 298.0ms (28.2% of total)

backward-pass: 198.0ms (18.8% of total)

ival-add: 144.0ms (13.6% of total)

...c/correct-round.rkt:119:19: 143.0ms (13.6% of total)

ival-sub: 106.0ms (10% of total)

ival->: 79.0ms (7.5% of total)

ival-and: 41.0ms (3.9% of total)

ival-<: 27.0ms (2.6% of total)

const: 18.0ms (1.7% of total)

Bogosity

preprocess42.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

270×	`sum3-define`
244×	`fnmadd-define`
184×	`fmsub-define`
168×	`fnmsub-define`
168×	`fma-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	26
1	25	24
2	52	23
3	99	23
4	190	23
5	387	23
6	579	23
7	755	23
8	849	23
9	955	23
10	1033	23
11	1039	23
0	6	7
1	11	7
2	15	7
3	22	7
4	32	7
5	64	7
6	122	7
7	210	7
8	295	7
9	401	7
10	479	7
11	485	7
0	485	7

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(- (cbrt (+ x 1)) (cbrt x))

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

Call 2

Inputs
(- (cbrt (+ x 1)) (cbrt x))
(- (cbrt (+ (neg x) 1)) (cbrt (neg x)))
(neg (- (cbrt (+ (neg x) 1)) (cbrt (neg x))))

Outputs
(- (cbrt (+ x 1)) (cbrt x))
(- (cbrt (+ (neg x) 1)) (cbrt (neg x)))
(- (cbrt (- 1 x)) (cbrt (neg x)))
(neg (- (cbrt (+ (neg x) 1)) (cbrt (neg x))))
(- (cbrt (neg x)) (cbrt (- 1 x)))

explain145.0ms (1.4%)

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
255	-	2	(11.264212983413476)	`(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))`
0	-	0	-	`x`
0	-	0	-	`(cbrt.f64 x)`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`(cbrt.f64 (+.f64 x #s(literal 1 binary64)))`
0	-	0	-	`(+.f64 x #s(literal 1 binary64))`

Results

55.0ms	200×	2	valid
54.0ms	300×	1	valid
1.0ms	12×	0	valid

Compiler

Compiled 48 to 20 computations (58.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-cbrt: 20.0ms (40.5% of total)

backward-pass: 14.0ms (28.3% of total)

ival-add: 8.0ms (16.2% of total)

ival-sub: 6.0ms (12.1% of total)

const: 1.0ms (2% of total)

eval0.0ms (0%)

Compiler: Compiled 8 to 6 computations (25% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	7.6%	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))

Compiler

Compiled 8 to 6 computations (25% saved)

simplify14.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(cbrt.f64 x)
✓	cost-diff	(+.f64 x #s(literal 1 binary64))
✓	cost-diff	(cbrt.f64 (+.f64 x #s(literal 1 binary64)))
✓	cost-diff	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))

Rules

124×	`fnmadd-define`
122×	`sum3-define`
80×	`fma-lowering-fma.f32`
80×	`fnmsub-define`
80×	`fmsub-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
1	11	18
2	15	18
3	22	18
4	32	18
5	64	18
6	122	18
7	210	18
8	295	18
9	401	18
10	479	18
11	485	18
0	485	18

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(- (cbrt (+ x 1)) (cbrt x))
(cbrt (+ x 1))
(+ x 1)
x
1
(cbrt x)

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

localize67.0ms (0.6%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 x #s(literal 1 binary64))
✓	accuracy	99.1%	(cbrt.f64 (+.f64 x #s(literal 1 binary64)))
✓	accuracy	99.1%	(cbrt.f64 x)
✓	accuracy	7.6%	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))

Results

30.0ms	100×	2	valid
26.0ms	150×	1	valid
0.0ms	6×	0	valid

Compiler

Compiled 20 to 7 computations (65% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-cbrt: 9.0ms (33.1% of total)

backward-pass: 7.0ms (25.7% of total)

ival-sub: 7.0ms (25.7% of total)

ival-add: 4.0ms (14.7% of total)

const: 1.0ms (3.7% of total)

series14.0ms (0.1%)

Counts

4 → 48

Calls

Call 1

Inputs
#<alt (- (cbrt (+ x 1)) (cbrt x))>
#<alt (cbrt (+ x 1))>
#<alt (+ x 1)>
#<alt (cbrt x)>

Outputs
#<alt (- 1 (cbrt x))>
#<alt (- (+ 1 (* 1/3 x)) (cbrt x))>
#<alt (- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))>
#<alt (- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))>
#<alt (/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2))>
#<alt (/ (+ (* -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))>
#<alt (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))>
#<alt (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))>
#<alt (/ (+ (* -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))>
#<alt (/ (+ (* -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))>
#<alt 1>
#<alt (+ 1 (* 1/3 x))>
#<alt (+ 1 (* x (+ 1/3 (* -1/9 x))))>
#<alt (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9)))))>
#<alt (cbrt x)>
#<alt (* x (+ (cbrt (/ 1 (pow x 2))) (* 1/3 (cbrt (/ 1 (pow x 5))))))>
#<alt (* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))))>
#<alt (* 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))))))))>
#<alt (* -1 (* (cbrt x) (cbrt -1)))>
#<alt (* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))>
#<alt (* -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)))))>
#<alt (* -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)))))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (* -1 (* (cbrt x) (cbrt -1)))>
#<alt (* -1 (* (cbrt x) (cbrt -1)))>
#<alt (* -1 (* (cbrt x) (cbrt -1)))>
#<alt (* -1 (* (cbrt x) (cbrt -1)))>

Calls

12 calls:

Time	Variable		Point	Expression
6.0ms	x	@	-inf	(- (cbrt (+ x 1)) (cbrt x))
3.0ms	x	@	inf	(- (cbrt (+ x 1)) (cbrt x))
1.0ms	x	@	0	(cbrt x)
1.0ms	x	@	-inf	(cbrt x)
1.0ms	x	@	inf	(cbrt x)

rewrite248.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

2230×	`-lowering-.f32`
2230×	`-lowering-.f64`
1490×	`fmsub-define`
1482×	`fmm-def`
1266×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	16
1	39	16
2	291	16
3	3387	16
0	8991	16

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 273

Calls

Call 1

Inputs
(- (cbrt (+ x 1)) (cbrt x))
(cbrt (+ x 1))
(+ x 1)
(cbrt x)

Outputs
(+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (cbrt.f64 x)))
(+.f64 (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) (+.f64 (-.f64 #s(literal 0 binary64) (cbrt.f64 x)) (cbrt.f64 x)))
(+.f64 (-.f64 #s(literal 0 binary64) (cbrt.f64 x)) (cbrt.f64 (+.f64 x #s(literal 1 binary64))))
(+.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (pow.f64 (.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1/3 binary64))))) (neg.f64 (/.f64 x (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (pow.f64 (.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1/3 binary64)))))))
(+.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 2/3 binary64)) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)))) #s(literal -1 binary64)))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
(-.f64 #s(literal 0 binary64) (-.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x #s(literal 1 binary64)))))
(-.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (pow.f64 (.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1/3 binary64))))) (/.f64 x (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (pow.f64 (.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1/3 binary64))))))
(-.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))))
(-.f64 (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 0 binary64)) (cbrt.f64 x))
(fma.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (pow.f64 (.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1/3 binary64))))) (neg.f64 (/.f64 x (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (pow.f64 (.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1/3 binary64)))))))
(fma.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (/.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 2/3 binary64)) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)))))
(fma.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (pow.f64 (.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1/3 binary64))))) (neg.f64 (/.f64 x (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (pow.f64 (.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1/3 binary64)))))))
(fma.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal 1 binary64))))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (pow.f64 (.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1/3 binary64))))) (neg.f64 (/.f64 x (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1/3 binary64)))))))
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 2/3 binary64)) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)))))
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (pow.f64 (.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1/3 binary64))))) (neg.f64 (/.f64 x (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (pow.f64 (.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1/3 binary64)))))))
(fma.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (pow.f64 (.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1/3 binary64))))) (neg.f64 (/.f64 x (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1/3 binary64)))))))
(fma.f64 #s(literal -1 binary64) (cbrt.f64 x) (cbrt.f64 (+.f64 x #s(literal 1 binary64))))
(fma.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal -1/3 binary64)) (-.f64 #s(literal 0 binary64) (cbrt.f64 x)))
(fma.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))))) (-.f64 #s(literal 0 binary64) (cbrt.f64 x)))
(fma.f64 (pow.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/3 binary64)) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -1/3 binary64)) (-.f64 #s(literal 0 binary64) (cbrt.f64 x)))
(fma.f64 (pow.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (cbrt.f64 (+.f64 x #s(literal -1 binary64)))) (-.f64 #s(literal 0 binary64) (cbrt.f64 x)))
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (pow.f64 (.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1/3 binary64))))) (neg.f64 (/.f64 x (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (pow.f64 (.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1/3 binary64)))))))
(fma.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)) (-.f64 #s(literal 0 binary64) (cbrt.f64 x)))
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/9 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/9 binary64)) (-.f64 #s(literal 0 binary64) (cbrt.f64 x)))
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(/.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1 binary64)) (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (+.f64 x #s(literal 1 binary64))))
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)))
(/.f64 (pow.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 x #s(literal -1 binary64))) (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) #s(literal 1 binary64)) (.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal 1 binary64))))))
(/.f64 (.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 x (.f64 x x)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal 1 binary64))))))
(/.f64 (.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 x (.f64 x (*.f64 x x)))) (+.f64 x #s(literal -1 binary64))))
(/.f64 (.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 x #s(literal -1 binary64))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal 1 binary64)))))
(/.f64 (.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))
(/.f64 (neg.f64 (+.f64 (.f64 x (.f64 x x)) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x x) (+.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -3 binary64))) (+.f64 (.f64 (/.f64 (.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 (.f64 x x) (+.f64 x #s(literal -1 binary64)))) (+.f64 (.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64)))) (.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64)))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 (.f64 x x) (+.f64 x #s(literal -1 binary64)))) (.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))))) (+.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64)))))
(/.f64 (.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (cbrt.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (cbrt.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal 1 binary64))))))
(/.f64 (.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (pow.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/3 binary64))) (cbrt.f64 (+.f64 x #s(literal -1 binary64))))
(/.f64 (.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64))) (cbrt.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal 1 binary64))))))
(/.f64 (.f64 (pow.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/3 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64))) (cbrt.f64 (+.f64 x #s(literal -1 binary64))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal 1 binary64)))))) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x)))))
(/.f64 (.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal 1 binary64)))))) (+.f64 (.f64 x (*.f64 x x)) #s(literal -1 binary64)))
(/.f64 (.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 x (.f64 x (.f64 x x)))))
(/.f64 (.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (cbrt.f64 (+.f64 x #s(literal 1 binary64)))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal 1 binary64))))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64))) (cbrt.f64 (+.f64 x #s(literal 1 binary64))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 (.f64 x x) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(pow.f64 (+.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 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) #s(literal 3/2 binary64))
(pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))
(pow.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/3 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) #s(literal 6 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) (cbrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
(*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64)))))
(*.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))
(*.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal 1 binary64))))))
(*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (cbrt.f64 (+.f64 x #s(literal 1 binary64))))
(.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (+.f64 x #s(literal -1 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal 1 binary64)))))))
(.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))) (+.f64 (.f64 x x) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))
(*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) (.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64))))
(.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal 1 binary64))))))
(.f64 (pow.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))))
(.f64 (.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) (cbrt.f64 (+.f64 x #s(literal 1 binary64)))) (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) (cbrt.f64 (+.f64 x #s(literal 1 binary64)))))
(.f64 (.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)))
(.f64 (/.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (+.f64 (*.f64 x x) #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 (*.f64 x x) #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x x))))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x x)))))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (-.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 x x)))) (+.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) x))
(.f64 (/.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (+.f64 (.f64 x (.f64 x x)) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 x #s(literal 1 binary64)))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))))
(exp.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 x)))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 x)) #s(literal 2/3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/3 binary64) (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1/6 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/6 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 x)) #s(literal 3/2 binary64)) #s(literal 2/3 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 1 binary64)) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 x)) #s(literal 3 binary64)) #s(literal 1/6 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 1/6 binary64)) #s(literal 2 binary64)))
(cbrt.f64 x)
(pow.f64 x #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 1 binary64))
(pow.f64 (.f64 x (.f64 x x)) #s(literal 1/9 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/6 binary64))
(pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 2/3 binary64))
(*.f64 #s(literal 1 binary64) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 2/9 binary64)) (pow.f64 x #s(literal 1/9 binary64)))
(*.f64 (pow.f64 x #s(literal 1/9 binary64)) (pow.f64 x #s(literal 2/9 binary64)))

simplify188.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

3426×	`-lowering-.f32`
3426×	`-lowering-.f64`
1786×	`/-lowering-/.f32`
1786×	`/-lowering-/.f64`
1556×	`+-lowering-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	146	551
1	378	495
2	1081	488
3	3258	483
0	8146	483

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

Inputs
(- 1 (cbrt x))
(- (+ 1 (* 1/3 x)) (cbrt x))
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))
(/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2))
(/ (+ (* -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))
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))
(/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(/ (+ (* -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))
(/ (+ (* -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))
1
(+ 1 (* 1/3 x))
(+ 1 (* x (+ 1/3 (* -1/9 x))))
(+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9)))))
(cbrt x)
(* x (+ (cbrt (/ 1 (pow x 2))) (* 1/3 (cbrt (/ 1 (pow x 5))))))
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))))
(* 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))))))))
(* -1 (* (cbrt x) (cbrt -1)))
(* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(* -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)))))
(* -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)))))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(* -1 (* (cbrt x) (cbrt -1)))
(* -1 (* (cbrt x) (cbrt -1)))
(* -1 (* (cbrt x) (cbrt -1)))
(* -1 (* (cbrt x) (cbrt -1)))

Outputs
(- 1 (cbrt x))
(-.f64 #s(literal 1 binary64) (cbrt.f64 x))
(- (+ 1 (* 1/3 x)) (cbrt x))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/3 binary64)) (cbrt.f64 x)))
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))
(+.f64 (-.f64 #s(literal 1 binary64) (cbrt.f64 x)) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/9 binary64)))))
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))
(+.f64 (-.f64 #s(literal 1 binary64) (cbrt.f64 x)) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (+.f64 #s(literal -1/9 binary64) (*.f64 x #s(literal 5/81 binary64)))))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))
(/.f64 (+.f64 (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))) (*.f64 x x))
(/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2))
(/.f64 (+.f64 (+.f64 (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))) (.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))) (*.f64 x x))
(/ (+ (* -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))
(/.f64 (+.f64 (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (+.f64 (.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)))) (.f64 #s(literal -10/243 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))) (.f64 x x))
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))
(.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(/.f64 (+.f64 (/.f64 (.f64 (cbrt.f64 x) #s(literal 1/9 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 x x))
(/ (+ (* -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))
(/.f64 (+.f64 (.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 (-.f64 (.f64 (cbrt.f64 (pow.f64 x #s(literal 7 binary64))) (/.f64 #s(literal 5/81 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64)))) (.f64 (cbrt.f64 (pow.f64 x #s(literal 10 binary64))) (/.f64 #s(literal -1/9 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (.f64 x (.f64 x x)))) (.f64 x x))
(/ (+ (* -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))
(/.f64 (-.f64 (.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 (-.f64 (.f64 (cbrt.f64 (pow.f64 x #s(literal 10 binary64))) (/.f64 #s(literal -1/9 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (/.f64 (+.f64 (.f64 (cbrt.f64 (pow.f64 x #s(literal 13 binary64))) (/.f64 #s(literal 10/243 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 11 binary64)))) (.f64 (cbrt.f64 (pow.f64 x #s(literal 16 binary64))) (/.f64 #s(literal 5/81 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64))))) (.f64 x (.f64 x x)))) (.f64 x (.f64 x x)))) (*.f64 x x))
1
#s(literal 1 binary64)
(+ 1 (* 1/3 x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/3 binary64)))
(+ 1 (* x (+ 1/3 (* -1/9 x))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/9 binary64)))))
(+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9)))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (+.f64 #s(literal -1/9 binary64) (*.f64 x #s(literal 5/81 binary64)))))))
(cbrt x)
(cbrt.f64 x)
(* x (+ (cbrt (/ 1 (pow x 2))) (* 1/3 (cbrt (/ 1 (pow x 5))))))
(.f64 x (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))))
(.f64 x (+.f64 (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) (.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 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))))))))
(.f64 x (+.f64 (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) (+.f64 (.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64))))) (*.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 11 binary64))))))))
(* -1 (* (cbrt x) (cbrt -1)))
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (cbrt.f64 x)))
(* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(.f64 x (-.f64 (.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) (cbrt.f64 #s(literal -1 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)))))
(-.f64 (/.f64 (+.f64 (/.f64 (.f64 (cbrt.f64 x) #s(literal 1/9 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (.f64 x x)) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 x (cbrt.f64 #s(literal -1 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)))))
(-.f64 (/.f64 (+.f64 (.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 (-.f64 (.f64 (cbrt.f64 (pow.f64 x #s(literal 7 binary64))) (/.f64 #s(literal 5/81 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64)))) (.f64 (cbrt.f64 (pow.f64 x #s(literal 10 binary64))) (/.f64 #s(literal -1/9 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (.f64 x (.f64 x x)))) (.f64 x x)) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) (*.f64 x (cbrt.f64 #s(literal -1 binary64)))))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
x
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
x
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(* -1 (* (cbrt x) (cbrt -1)))
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (cbrt.f64 x)))
(* -1 (* (cbrt x) (cbrt -1)))
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (cbrt.f64 x)))
(* -1 (* (cbrt x) (cbrt -1)))
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (cbrt.f64 x)))
(* -1 (* (cbrt x) (cbrt -1)))
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (cbrt.f64 x)))

eval40.0ms (0.4%)

Compiler: Compiled 6763 to 1051 computations (84.5% saved)

prune68.0ms (0.7%)

Pruning

26 alts after pruning (25 fresh and 1 done)

	Pruned	Kept	Total
New	296	25	321
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	296	26	322

Accuracy

52.3%

Counts

322 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	6.6%	(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (pow.f64 (.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1/3 binary64))))) (neg.f64 (/.f64 x (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (pow.f64 (.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1/3 binary64)))))))
	7.0%	(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 2/3 binary64)) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)))))
	5.2%	(fma.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)) (-.f64 #s(literal 0 binary64) (cbrt.f64 x)))
	8.2%	(fma.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (pow.f64 (.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1/3 binary64))))) (neg.f64 (/.f64 x (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (pow.f64 (.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1/3 binary64)))))))
	8.7%	(fma.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (/.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 2/3 binary64)) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)))))
	6.6%	(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 4/3 binary64)) (pow.f64 x #s(literal 4/3 binary64))) (*.f64 (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2/3 binary64)))))
	7.8%	(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2/3 binary64))) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)))
	5.5%	(/.f64 (-.f64 (.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 (-.f64 (.f64 (cbrt.f64 (pow.f64 x #s(literal 10 binary64))) (/.f64 #s(literal -1/9 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (/.f64 (+.f64 (.f64 (cbrt.f64 (pow.f64 x #s(literal 13 binary64))) (/.f64 #s(literal 10/243 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 11 binary64)))) (.f64 (cbrt.f64 (pow.f64 x #s(literal 16 binary64))) (/.f64 #s(literal 5/81 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64))))) (.f64 x (.f64 x x)))) (.f64 x (.f64 x x)))) (*.f64 x x))
	29.8%	(/.f64 (+.f64 (+.f64 (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))) (.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))) (*.f64 x x))
▶	29.9%	(/.f64 (+.f64 (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (+.f64 (.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)))) (.f64 #s(literal -10/243 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))) (.f64 x x))
	29.4%	(/.f64 (+.f64 (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))) (*.f64 x x))
	6.0%	(-.f64 (exp.f64 (*.f64 #s(literal 1/3 binary64) (log1p.f64 x))) (cbrt.f64 x))
	7.3%	(-.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (cbrt.f64 x))
	7.6%	(-.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))) (cbrt.f64 x))
	7.6%	(-.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) (cbrt.f64 x))
▶	8.7%	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/2 binary64)))
	8.7%	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)))
	8.7%	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64)))
	8.7%	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 (pow.f64 x #s(literal 2/9 binary64)) (pow.f64 x #s(literal 1/9 binary64))))
	7.9%	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (exp.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 x))))
✓	7.6%	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
	7.1%	(-.f64 (cbrt.f64 (exp.f64 (log1p.f64 x))) (cbrt.f64 x))
▶	1.8%	(-.f64 #s(literal 1 binary64) (cbrt.f64 x))
	5.4%	(.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2/3 binary64))) (+.f64 x (+.f64 x #s(literal 1 binary64)))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (-.f64 (pow.f64 x #s(literal 2/3 binary64)) (pow.f64 (.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1/3 binary64)))))
▶	49.7%	(.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))
▶	7.6%	(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)))) #s(literal -1 binary64)))

Compiler

Compiled 1050 to 628 computations (40.2% saved)

simplify198.0ms (1.9%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(cbrt.f64 x)
✓	cost-diff	0	(*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))
✓	cost-diff	0	(+.f64 (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (+.f64 (.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)))) (*.f64 #s(literal -10/243 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))))
✓	cost-diff	0	(/.f64 (+.f64 (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (+.f64 (.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)))) (.f64 #s(literal -10/243 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))) (.f64 x x))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)))
✓	cost-diff	0	(log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))))
✓	cost-diff	256	(*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)))) #s(literal -1 binary64))
✓	cost-diff	12800	(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)))) #s(literal -1 binary64)))
✓	cost-diff	0	(+.f64 x #s(literal 1 binary64))
✓	cost-diff	0	(cbrt.f64 (+.f64 x #s(literal 1 binary64)))
✓	cost-diff	0	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/2 binary64)))
✓	cost-diff	64	(pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/2 binary64))
✓	cost-diff	0	(cbrt.f64 x)
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (cbrt.f64 x))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 x x))
✓	cost-diff	0	(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
✓	cost-diff	0	(.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))

Rules

1996×	`sum3-define`
1828×	`fnmsub-define`
1720×	`sum5-define`
1462×	`fma-define`
1426×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	12884902124
1	78	12884902123
2	137	12884902115
3	255	12884902115
4	382	12884902115
5	494	12884902115
6	699	12884902115
7	937	12884902115
8	1187	12884902115
9	1784	12884902115
10	3106	12884902115
11	3311	12884902115
12	3859	12884902115
13	5364	12884902115
0	8176	246

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* 1/3 (cbrt (/ 1 (* x x))))
1/3
(cbrt (/ 1 (* x x)))
(/ 1 (* x x))
1
(* x x)
x
(- 1 (cbrt x))
1
(cbrt x)
x
(- (cbrt (+ x 1)) (pow (pow x 2/3) 1/2))
(cbrt (+ x 1))
(+ x 1)
x
1
(pow (pow x 2/3) 1/2)
(pow x 2/3)
2/3
1/2
(exp (* (log (/ 1 (- (cbrt (+ x 1)) (cbrt x)))) -1))
(* (log (/ 1 (- (cbrt (+ x 1)) (cbrt x)))) -1)
(log (/ 1 (- (cbrt (+ x 1)) (cbrt x))))
(/ 1 (- (cbrt (+ x 1)) (cbrt x)))
1
(- (cbrt (+ x 1)) (cbrt x))
(cbrt (+ x 1))
(+ x 1)
x
(cbrt x)
-1
(/ (+ (* (cbrt x) -1/9) (+ (* 1/3 (cbrt (pow x 4))) (+ (* 5/81 (cbrt (/ 1 (* x x)))) (* -10/243 (cbrt (/ 1 (pow x 5))))))) (* x x))
(+ (* (cbrt x) -1/9) (+ (* 1/3 (cbrt (pow x 4))) (+ (* 5/81 (cbrt (/ 1 (* x x)))) (* -10/243 (cbrt (/ 1 (pow x 5)))))))
(* (cbrt x) -1/9)
(cbrt x)
x
-1/9
(+ (* 1/3 (cbrt (pow x 4))) (+ (* 5/81 (cbrt (/ 1 (* x x)))) (* -10/243 (cbrt (/ 1 (pow x 5))))))
(* 1/3 (cbrt (pow x 4)))
1/3
(cbrt (pow x 4))
(pow x 4)
4
(+ (* 5/81 (cbrt (/ 1 (* x x)))) (* -10/243 (cbrt (/ 1 (pow x 5)))))
(* 5/81 (cbrt (/ 1 (* x x))))
5/81
(cbrt (/ 1 (* x x)))
(/ 1 (* x x))
1
(* x x)
(* -10/243 (cbrt (/ 1 (pow x 5))))
-10/243
(cbrt (/ 1 (pow x 5)))
(/ 1 (pow x 5))
(pow x 5)
5

Outputs
(* 1/3 (cbrt (/ 1 (* x x))))
(.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))
1/3
#s(literal 1/3 binary64)
(cbrt (/ 1 (* x x)))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/ 1 (* x x))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
1
#s(literal 1 binary64)
(* x x)
(*.f64 x x)
x
(- 1 (cbrt x))
(-.f64 #s(literal 1 binary64) (cbrt.f64 x))
1
#s(literal 1 binary64)
(cbrt x)
(cbrt.f64 x)
x
(- (cbrt (+ x 1)) (pow (pow x 2/3) 1/2))
(-.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (pow.f64 x #s(literal 2/3 binary64))))
(cbrt (+ x 1))
(cbrt.f64 (+.f64 #s(literal 1 binary64) x))
(+ x 1)
(+.f64 #s(literal 1 binary64) x)
x
1
#s(literal 1 binary64)
(pow (pow x 2/3) 1/2)
(sqrt.f64 (pow.f64 x #s(literal 2/3 binary64)))
(pow x 2/3)
(pow.f64 x #s(literal 2/3 binary64))
2/3
#s(literal 2/3 binary64)
1/2
#s(literal 1/2 binary64)
(exp (* (log (/ 1 (- (cbrt (+ x 1)) (cbrt x)))) -1))
(-.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) (cbrt.f64 x))
(* (log (/ 1 (- (cbrt (+ x 1)) (cbrt x)))) -1)
(log.f64 (-.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) (cbrt.f64 x)))
(log (/ 1 (- (cbrt (+ x 1)) (cbrt x))))
(log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) (cbrt.f64 x))))
(/ 1 (- (cbrt (+ x 1)) (cbrt x)))
(/.f64 #s(literal 1 binary64) (-.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) (cbrt.f64 x)))
1
#s(literal 1 binary64)
(- (cbrt (+ x 1)) (cbrt x))
(-.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) (cbrt.f64 x))
(cbrt (+ x 1))
(cbrt.f64 (+.f64 #s(literal 1 binary64) x))
(+ x 1)
(+.f64 #s(literal 1 binary64) x)
x
(cbrt x)
(cbrt.f64 x)
-1
#s(literal -1 binary64)
(/ (+ (* (cbrt x) -1/9) (+ (* 1/3 (cbrt (pow x 4))) (+ (* 5/81 (cbrt (/ 1 (* x x)))) (* -10/243 (cbrt (/ 1 (pow x 5))))))) (* x x))
(/.f64 (+.f64 (.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal -10/243 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (+.f64 (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 5/81 binary64))))) (.f64 x x))
(+ (* (cbrt x) -1/9) (+ (* 1/3 (cbrt (pow x 4))) (+ (* 5/81 (cbrt (/ 1 (* x x)))) (* -10/243 (cbrt (/ 1 (pow x 5)))))))
(+.f64 (.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal -10/243 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (+.f64 (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 5/81 binary64)))))
(* (cbrt x) -1/9)
(*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))
(cbrt x)
(cbrt.f64 x)
x
-1/9
#s(literal -1/9 binary64)
(+ (* 1/3 (cbrt (pow x 4))) (+ (* 5/81 (cbrt (/ 1 (* x x)))) (* -10/243 (cbrt (/ 1 (pow x 5))))))
(+.f64 (.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (+.f64 (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 5/81 binary64)) (.f64 #s(literal -10/243 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))
(* 1/3 (cbrt (pow x 4)))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))
1/3
#s(literal 1/3 binary64)
(cbrt (pow x 4))
(cbrt.f64 (pow.f64 x #s(literal 4 binary64)))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
4
#s(literal 4 binary64)
(+ (* 5/81 (cbrt (/ 1 (* x x)))) (* -10/243 (cbrt (/ 1 (pow x 5)))))
(+.f64 (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 5/81 binary64)) (*.f64 #s(literal -10/243 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))
(* 5/81 (cbrt (/ 1 (* x x))))
(.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 5/81 binary64))
5/81
#s(literal 5/81 binary64)
(cbrt (/ 1 (* x x)))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/ 1 (* x x))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
1
#s(literal 1 binary64)
(* x x)
(*.f64 x x)
(* -10/243 (cbrt (/ 1 (pow x 5))))
(*.f64 #s(literal -10/243 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))
-10/243
#s(literal -10/243 binary64)
(cbrt (/ 1 (pow x 5)))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))
(/ 1 (pow x 5))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
5
#s(literal 5 binary64)

localize573.0ms (5.5%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	64.6%	(cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))
✓	accuracy	58.1%	(cbrt.f64 (pow.f64 x #s(literal 4 binary64)))
✓	accuracy	53.7%	(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
✓	accuracy	51.7%	(/.f64 (+.f64 (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (+.f64 (.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)))) (.f64 #s(literal -10/243 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))) (.f64 x x))
✓	accuracy	99.1%	(cbrt.f64 (+.f64 x #s(literal 1 binary64)))
✓	accuracy	99.1%	(cbrt.f64 x)
✓	accuracy	92.1%	(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)))) #s(literal -1 binary64)))
✓	accuracy	7.6%	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
✓	accuracy	99.8%	(pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/2 binary64))
✓	accuracy	99.1%	(cbrt.f64 (+.f64 x #s(literal 1 binary64)))
✓	accuracy	90.8%	(pow.f64 x #s(literal 2/3 binary64))
✓	accuracy	7.6%	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (cbrt.f64 x))
✓	accuracy	99.1%	(cbrt.f64 x)
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.4%	(.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))
✓	accuracy	98.8%	(/.f64 #s(literal 1 binary64) (*.f64 x x))
✓	accuracy	53.7%	(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))

Results

249.0ms	99×	2	valid
238.0ms	150×	1	valid
6.0ms	7×	0	valid

Compiler

Compiled 301 to 41 computations (86.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 289.0ms

ival-pow: 92.0ms (31.8% of total)

...c/correct-round.rkt:119:19: 44.0ms (15.2% of total)

backward-pass: 41.0ms (14.2% of total)

ival-cbrt: 31.0ms (10.7% of total)

ival-mult: 27.0ms (9.3% of total)

ival-div: 17.0ms (5.9% of total)

ival-add: 11.0ms (3.8% of total)

ival-sub: 9.0ms (3.1% of total)

ival-log: 9.0ms (3.1% of total)

ival-exp: 5.0ms (1.7% of total)

const: 2.0ms (0.7% of total)

series54.0ms (0.5%)

Counts

21 → 252

Calls

Call 1

Inputs
#<alt (* 1/3 (cbrt (/ 1 (* x x))))>
#<alt (cbrt (/ 1 (* x x)))>
#<alt (/ 1 (* x x))>
#<alt (* x x)>
#<alt (- 1 (cbrt x))>
#<alt (cbrt x)>
#<alt (pow (pow x 2/3) 1/2)>
#<alt (- (cbrt (+ x 1)) (pow (pow x 2/3) 1/2))>
#<alt (cbrt (+ x 1))>
#<alt (+ x 1)>
#<alt (exp (* (log (/ 1 (- (cbrt (+ x 1)) (cbrt x)))) -1))>
#<alt (* (log (/ 1 (- (cbrt (+ x 1)) (cbrt x)))) -1)>
#<alt (log (/ 1 (- (cbrt (+ x 1)) (cbrt x))))>
#<alt (/ 1 (- (cbrt (+ x 1)) (cbrt x)))>
#<alt (/ (+ (* (cbrt x) -1/9) (+ (* 1/3 (cbrt (pow x 4))) (+ (* 5/81 (cbrt (/ 1 (* x x)))) (* -10/243 (cbrt (/ 1 (pow x 5))))))) (* x x))>
#<alt (+ (* (cbrt x) -1/9) (+ (* 1/3 (cbrt (pow x 4))) (+ (* 5/81 (cbrt (/ 1 (* x x)))) (* -10/243 (cbrt (/ 1 (pow x 5)))))))>
#<alt (* (cbrt x) -1/9)>
#<alt (pow x 2/3)>
#<alt (- (cbrt (+ x 1)) (cbrt x))>
#<alt (cbrt (pow x 4))>
#<alt (cbrt (/ 1 (pow x 5)))>

Outputs
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (- 1 (cbrt x))>
#<alt (- 1 (cbrt x))>
#<alt (- 1 (cbrt x))>
#<alt (- 1 (cbrt x))>
#<alt (* -1 (cbrt x))>
#<alt (* x (- (/ 1 x) (cbrt (/ 1 (pow x 2)))))>
#<alt (* x (- (/ 1 x) (cbrt (/ 1 (pow x 2)))))>
#<alt (* x (- (/ 1 x) (cbrt (/ 1 (pow x 2)))))>
#<alt (* (cbrt x) (cbrt -1))>
#<alt (* x (+ (* (cbrt (/ 1 (pow x 2))) (cbrt -1)) (/ 1 x)))>
#<alt (* x (+ (* (cbrt (/ 1 (pow x 2))) (cbrt -1)) (/ 1 x)))>
#<alt (* x (+ (* (cbrt (/ 1 (pow x 2))) (cbrt -1)) (/ 1 x)))>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (* -1 (* (cbrt x) (cbrt -1)))>
#<alt (* -1 (* (cbrt x) (cbrt -1)))>
#<alt (* -1 (* (cbrt x) (cbrt -1)))>
#<alt (* -1 (* (cbrt x) (cbrt -1)))>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (* -1 (cbrt x))>
#<alt (* -1 (cbrt x))>
#<alt (* -1 (cbrt x))>
#<alt (* -1 (cbrt x))>
#<alt (- 1 (cbrt x))>
#<alt (- (+ 1 (* 1/3 x)) (cbrt x))>
#<alt (- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))>
#<alt (- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))>
#<alt (/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2))>
#<alt (/ (+ (* -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))>
#<alt (* -1 (* x (- (* (cbrt (/ 1 (pow x 2))) (cbrt -1)) (cbrt (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (- (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (cbrt (/ 1 (pow x 2))))))>
#<alt (* -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))) (cbrt (/ 1 (pow x 2))))))>
#<alt (* -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))) (cbrt (/ 1 (pow x 2))))))>
#<alt 1>
#<alt (+ 1 (* 1/3 x))>
#<alt (+ 1 (* x (+ 1/3 (* -1/9 x))))>
#<alt (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9)))))>
#<alt (cbrt x)>
#<alt (* x (+ (cbrt (/ 1 (pow x 2))) (* 1/3 (cbrt (/ 1 (pow x 5))))))>
#<alt (* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))))>
#<alt (* 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))))))))>
#<alt (* -1 (* (cbrt x) (cbrt -1)))>
#<alt (* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))>
#<alt (* -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)))))>
#<alt (* -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)))))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (- 1 (cbrt x))>
#<alt (- (+ 1 (* 1/3 x)) (cbrt x))>
#<alt (- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))>
#<alt (- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))>
#<alt (/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2))>
#<alt (/ (+ (* -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))>
#<alt (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))>
#<alt (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))>
#<alt (/ (+ (* -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))>
#<alt (/ (+ (* -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))>
#<alt (* -1 (log (/ 1 (- 1 (cbrt x)))))>
#<alt (+ (* -1 (log (/ 1 (- 1 (cbrt x))))) (* 1/3 (/ x (- 1 (cbrt x)))))>
#<alt (+ (* -1 (log (/ 1 (- 1 (cbrt x))))) (* x (+ (* -1/2 (* x (- (* 2 (* (+ (* 1/9 (/ 1 (pow (- 1 (cbrt x)) 2))) (* 1/9 (/ 1 (pow (- 1 (cbrt x)) 3)))) (- 1 (cbrt x)))) (* 1/9 (/ 1 (pow (- 1 (cbrt x)) 2)))))) (* 1/3 (/ 1 (- 1 (cbrt x)))))))>
#<alt (+ (* -1 (log (/ 1 (- 1 (cbrt x))))) (* x (+ (* x (+ (* -1/2 (- (* 2 (* (+ (* 1/9 (/ 1 (pow (- 1 (cbrt x)) 2))) (* 1/9 (/ 1 (pow (- 1 (cbrt x)) 3)))) (- 1 (cbrt x)))) (* 1/9 (/ 1 (pow (- 1 (cbrt x)) 2))))) (* -1/6 (* x (- (+ (* -6 (* (+ (* 5/81 (/ 1 (pow (- 1 (cbrt x)) 2))) (+ (* 1/3 (/ (+ (* 1/9 (/ 1 (pow (- 1 (cbrt x)) 2))) (* 1/9 (/ 1 (pow (- 1 (cbrt x)) 3)))) (- 1 (cbrt x)))) (* 1/27 (/ 1 (pow (- 1 (cbrt x)) 3))))) (- 1 (cbrt x)))) (* 2 (+ (* 1/9 (/ 1 (pow (- 1 (cbrt x)) 2))) (* 1/9 (/ 1 (pow (- 1 (cbrt x)) 3)))))) (* 2/27 (/ 1 (pow (- 1 (cbrt x)) 3)))))))) (* 1/3 (/ 1 (- 1 (cbrt x)))))))>
#<alt (* -1 (+ (log (* 3 (cbrt (/ 1 (pow x 4))))) (* -2 (log (/ 1 x)))))>
#<alt (- (* -1 (+ (log (* 3 (cbrt (/ 1 (pow x 4))))) (* -2 (log (/ 1 x))))) (* 1/3 (/ 1 x)))>
#<alt (- (+ (* -1 (+ (log (* 3 (cbrt (/ 1 (pow x 4))))) (* -2 (log (/ 1 x))))) (* -1/720 (/ (- (* -240 (* (cbrt (pow x 4)) (+ (* -1/3 (cbrt (pow x 8))) (* 5/9 (cbrt (pow x 8)))))) (* 40 (pow x 4))) (pow x 6)))) (/ 1/3 x))>
#<alt (- (+ (* -1 (+ (log (* 3 (cbrt (/ 1 (pow x 4))))) (* -2 (log (/ 1 x))))) (+ (* -1/720 (/ (- (* -240 (* (cbrt (pow x 4)) (+ (* -1/3 (cbrt (pow x 8))) (* 5/9 (cbrt (pow x 8)))))) (* 40 (pow x 4))) (pow x 6))) (* -1/362880 (/ (+ (* -120960 (* (cbrt (pow x 4)) (+ (* -10/27 (cbrt (pow x 14))) (+ (* 5/27 (cbrt (pow x 14))) (* 1/3 (* (pow x 2) (+ (* -1/3 (cbrt (pow x 8))) (* 5/9 (cbrt (pow x 8)))))))))) (+ (* 4480 (pow x 6)) (* 40320 (* (cbrt (pow x 10)) (+ (* -1/3 (cbrt (pow x 8))) (* 5/9 (cbrt (pow x 8)))))))) (pow x 9))))) (/ 1/3 x))>
#<alt (* -1 (+ (log (* 3 (* (cbrt (/ 1 (pow x 4))) (pow (cbrt -1) 2)))) (* -2 (log (/ -1 x)))))>
#<alt (+ (* -1 (+ (log (* 3 (* (cbrt (/ 1 (pow x 4))) (pow (cbrt -1) 2)))) (* -2 (log (/ -1 x))))) (* 1/3 (/ 1 (* x (pow (cbrt -1) 3)))))>
#<alt (+ (* -1 (+ (log (* 3 (* (cbrt (/ 1 (pow x 4))) (pow (cbrt -1) 2)))) (* -2 (log (/ -1 x))))) (* -1 (/ (- (* 1/720 (/ (- (* -240 (* (cbrt (pow x 4)) (/ (+ (* -1/3 (* (cbrt (pow x 8)) (/ 1 (pow (cbrt -1) 4)))) (* 5/9 (* (cbrt (pow x 8)) (/ 1 (pow (cbrt -1) 4))))) (pow (cbrt -1) 2)))) (* 40 (/ (pow x 4) (pow (cbrt -1) 6)))) (pow x 3))) (* 1/3 (/ (pow x 2) (pow (cbrt -1) 3)))) (pow x 3))))>
#<alt (+ (* -1 (+ (log (* 3 (* (cbrt (/ 1 (pow x 4))) (pow (cbrt -1) 2)))) (* -2 (log (/ -1 x))))) (* -1 (/ (- (* -1 (/ (+ (* -1/720 (- (* -240 (* (cbrt (pow x 4)) (/ (+ (* -1/3 (* (cbrt (pow x 8)) (/ 1 (pow (cbrt -1) 4)))) (* 5/9 (* (cbrt (pow x 8)) (/ 1 (pow (cbrt -1) 4))))) (pow (cbrt -1) 2)))) (* 40 (/ (pow x 4) (pow (cbrt -1) 6))))) (* 1/362880 (/ (+ (* -120960 (* (cbrt (pow x 4)) (/ (+ (* -10/27 (* (cbrt (pow x 14)) (/ 1 (pow (cbrt -1) 7)))) (+ (* 5/27 (* (cbrt (pow x 14)) (/ 1 (pow (cbrt -1) 7)))) (* 1/3 (/ (* (pow x 2) (+ (* -1/3 (* (cbrt (pow x 8)) (/ 1 (pow (cbrt -1) 4)))) (* 5/9 (* (cbrt (pow x 8)) (/ 1 (pow (cbrt -1) 4)))))) (pow (cbrt -1) 3))))) (pow (cbrt -1) 2)))) (+ (* 4480 (/ (pow x 6) (pow (cbrt -1) 9))) (* 40320 (* (cbrt (pow x 10)) (/ (+ (* -1/3 (* (cbrt (pow x 8)) (/ 1 (pow (cbrt -1) 4)))) (* 5/9 (* (cbrt (pow x 8)) (/ 1 (pow (cbrt -1) 4))))) (pow (cbrt -1) 5)))))) (pow x 3)))) (pow x 3))) (* 1/3 (/ (pow x 2) (pow (cbrt -1) 3)))) (pow x 3))))>
#<alt (log (/ 1 (- 1 (cbrt x))))>
#<alt (+ (log (/ 1 (- 1 (cbrt x)))) (* -1/3 (/ x (- 1 (cbrt x)))))>
#<alt (+ (log (/ 1 (- 1 (cbrt x)))) (* x (- (* 1/2 (* x (- (* 2 (* (+ (* 1/9 (/ 1 (pow (- 1 (cbrt x)) 2))) (* 1/9 (/ 1 (pow (- 1 (cbrt x)) 3)))) (- 1 (cbrt x)))) (* 1/9 (/ 1 (pow (- 1 (cbrt x)) 2)))))) (* 1/3 (/ 1 (- 1 (cbrt x)))))))>
#<alt (+ (log (/ 1 (- 1 (cbrt x)))) (* x (- (* x (+ (* 1/6 (* x (- (+ (* -6 (* (+ (* 1/27 (/ 1 (pow (- 1 (cbrt x)) 3))) (+ (* 1/3 (/ (+ (* 1/9 (/ 1 (pow (- 1 (cbrt x)) 2))) (* 1/9 (/ 1 (pow (- 1 (cbrt x)) 3)))) (- 1 (cbrt x)))) (* 5/81 (/ 1 (pow (- 1 (cbrt x)) 2))))) (- 1 (cbrt x)))) (* 2 (+ (* 1/9 (/ 1 (pow (- 1 (cbrt x)) 2))) (* 1/9 (/ 1 (pow (- 1 (cbrt x)) 3)))))) (* 2/27 (/ 1 (pow (- 1 (cbrt x)) 3)))))) (* 1/2 (- (* 2 (* (+ (* 1/9 (/ 1 (pow (- 1 (cbrt x)) 2))) (* 1/9 (/ 1 (pow (- 1 (cbrt x)) 3)))) (- 1 (cbrt x)))) (* 1/9 (/ 1 (pow (- 1 (cbrt x)) 2))))))) (* 1/3 (/ 1 (- 1 (cbrt x)))))))>
#<alt (+ (log (* 3 (cbrt (/ 1 (pow x 4))))) (* -2 (log (/ 1 x))))>
#<alt (+ (log (* 3 (cbrt (/ 1 (pow x 4))))) (+ (* -2 (log (/ 1 x))) (* 1/3 (/ 1 x))))>
#<alt (+ (log (* 3 (cbrt (/ 1 (pow x 4))))) (+ (* -2 (log (/ 1 x))) (+ (* 1/720 (/ (- (* -240 (* (cbrt (pow x 4)) (+ (* -1/3 (cbrt (pow x 8))) (* 5/9 (cbrt (pow x 8)))))) (* 40 (pow x 4))) (pow x 6))) (/ 1/3 x))))>
#<alt (+ (log (* 3 (cbrt (/ 1 (pow x 4))))) (+ (* -2 (log (/ 1 x))) (+ (* 1/362880 (/ (+ (* -120960 (* (cbrt (pow x 4)) (+ (* -10/27 (cbrt (pow x 14))) (+ (* 5/27 (cbrt (pow x 14))) (* 1/3 (* (pow x 2) (+ (* -1/3 (cbrt (pow x 8))) (* 5/9 (cbrt (pow x 8)))))))))) (+ (* 4480 (pow x 6)) (* 40320 (* (cbrt (pow x 10)) (+ (* -1/3 (cbrt (pow x 8))) (* 5/9 (cbrt (pow x 8)))))))) (pow x 9))) (+ (* 1/720 (/ (- (* -240 (* (cbrt (pow x 4)) (+ (* -1/3 (cbrt (pow x 8))) (* 5/9 (cbrt (pow x 8)))))) (* 40 (pow x 4))) (pow x 6))) (/ 1/3 x)))))>
#<alt (+ (log (* 3 (* (cbrt (/ 1 (pow x 4))) (pow (cbrt -1) 2)))) (* -2 (log (/ -1 x))))>
#<alt (- (+ (log (* 3 (* (cbrt (/ 1 (pow x 4))) (pow (cbrt -1) 2)))) (* -2 (log (/ -1 x)))) (* 1/3 (/ 1 (* x (pow (cbrt -1) 3)))))>
#<alt (+ (log (* 3 (* (cbrt (/ 1 (pow x 4))) (pow (cbrt -1) 2)))) (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ (* -1/720 (/ (- (* -240 (* (cbrt (pow x 4)) (/ (+ (* -1/3 (* (cbrt (pow x 8)) (/ 1 (pow (cbrt -1) 4)))) (* 5/9 (* (cbrt (pow x 8)) (/ 1 (pow (cbrt -1) 4))))) (pow (cbrt -1) 2)))) (* 40 (/ (pow x 4) (pow (cbrt -1) 6)))) (pow x 3))) (* 1/3 (/ (pow x 2) (pow (cbrt -1) 3)))) (pow x 3)))))>
#<alt (+ (log (* 3 (* (cbrt (/ 1 (pow x 4))) (pow (cbrt -1) 2)))) (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ (* -1 (/ (+ (* -1/362880 (/ (+ (* -120960 (* (cbrt (pow x 4)) (/ (+ (* -10/27 (* (cbrt (pow x 14)) (/ 1 (pow (cbrt -1) 7)))) (+ (* 5/27 (* (cbrt (pow x 14)) (/ 1 (pow (cbrt -1) 7)))) (* 1/3 (/ (* (pow x 2) (+ (* -1/3 (* (cbrt (pow x 8)) (/ 1 (pow (cbrt -1) 4)))) (* 5/9 (* (cbrt (pow x 8)) (/ 1 (pow (cbrt -1) 4)))))) (pow (cbrt -1) 3))))) (pow (cbrt -1) 2)))) (+ (* 4480 (/ (pow x 6) (pow (cbrt -1) 9))) (* 40320 (* (cbrt (pow x 10)) (/ (+ (* -1/3 (* (cbrt (pow x 8)) (/ 1 (pow (cbrt -1) 4)))) (* 5/9 (* (cbrt (pow x 8)) (/ 1 (pow (cbrt -1) 4))))) (pow (cbrt -1) 5)))))) (pow x 3))) (* 1/720 (- (* -240 (* (cbrt (pow x 4)) (/ (+ (* -1/3 (* (cbrt (pow x 8)) (/ 1 (pow (cbrt -1) 4)))) (* 5/9 (* (cbrt (pow x 8)) (/ 1 (pow (cbrt -1) 4))))) (pow (cbrt -1) 2)))) (* 40 (/ (pow x 4) (pow (cbrt -1) 6)))))) (pow x 3))) (* 1/3 (/ (pow x 2) (pow (cbrt -1) 3)))) (pow x 3)))))>
#<alt (/ 1 (- 1 (cbrt x)))>
#<alt (+ (* -1/3 (/ x (pow (- 1 (cbrt x)) 2))) (/ 1 (- 1 (cbrt x))))>
#<alt (+ (* x (- (* x (+ (* 1/9 (/ 1 (pow (- 1 (cbrt x)) 2))) (* 1/9 (/ 1 (pow (- 1 (cbrt x)) 3))))) (* 1/3 (/ 1 (pow (- 1 (cbrt x)) 2))))) (/ 1 (- 1 (cbrt x))))>
#<alt (+ (* x (- (* x (+ (* -1 (* x (+ (* 1/27 (/ 1 (pow (- 1 (cbrt x)) 3))) (+ (* 5/81 (/ 1 (pow (- 1 (cbrt x)) 2))) (* 1/3 (/ (+ (* 1/9 (/ 1 (pow (- 1 (cbrt x)) 2))) (* 1/9 (/ 1 (pow (- 1 (cbrt x)) 3)))) (- 1 (cbrt x)))))))) (+ (* 1/9 (/ 1 (pow (- 1 (cbrt x)) 2))) (* 1/9 (/ 1 (pow (- 1 (cbrt x)) 3)))))) (* 1/3 (/ 1 (pow (- 1 (cbrt x)) 2))))) (/ 1 (- 1 (cbrt x))))>
#<alt (* 3 (cbrt (pow x 2)))>
#<alt (* (pow x 2) (+ (cbrt (/ 1 (pow x 7))) (* 3 (cbrt (/ 1 (pow x 4))))))>
#<alt (* (pow x 2) (- (+ (* -1 (/ (+ (* -1/3 (cbrt (pow x 8))) (* 5/9 (cbrt (pow x 8)))) (pow x 6))) (* 3 (cbrt (/ 1 (pow x 4))))) (* -1 (cbrt (/ 1 (pow x 7))))))>
#<alt (* (pow x 2) (- (+ (* -1 (/ (+ (* -10/27 (cbrt (pow x 14))) (+ (* 5/27 (cbrt (pow x 14))) (* 1/3 (* (pow x 2) (+ (* -1/3 (cbrt (pow x 8))) (* 5/9 (cbrt (pow x 8)))))))) (pow x 9))) (* 3 (cbrt (/ 1 (pow x 4))))) (+ (* -1 (cbrt (/ 1 (pow x 7)))) (+ (* -1/3 (cbrt (/ 1 (pow x 10)))) (* 5/9 (cbrt (/ 1 (pow x 10))))))))>
#<alt (* 3 (* (cbrt (pow x 2)) (pow (cbrt -1) 2)))>
#<alt (* (pow x 2) (+ (* -1 (* (cbrt (/ 1 (pow x 7))) (/ 1 (cbrt -1)))) (* 3 (* (cbrt (/ 1 (pow x 4))) (pow (cbrt -1) 2)))))>
#<alt (* (pow x 2) (+ (* -1 (/ (- (+ (* -1/3 (* (cbrt (/ 1 x)) (/ 1 (pow (cbrt -1) 4)))) (* 5/9 (* (cbrt (/ 1 x)) (/ 1 (pow (cbrt -1) 4))))) (* -1 (* (cbrt (pow x 2)) (/ 1 (cbrt -1))))) (pow x 3))) (* 3 (* (cbrt (/ 1 (pow x 4))) (pow (cbrt -1) 2)))))>
#<alt (* (pow x 2) (+ (* -1 (/ (- (* -1 (/ (- (+ (* -10/27 (* (cbrt (pow x 5)) (/ 1 (pow (cbrt -1) 7)))) (+ (* 5/27 (* (cbrt (pow x 5)) (/ 1 (pow (cbrt -1) 7)))) (* 1/3 (/ (+ (* -1/3 (* (cbrt (pow x 8)) (/ 1 (pow (cbrt -1) 4)))) (* 5/9 (* (cbrt (pow x 8)) (/ 1 (pow (cbrt -1) 4))))) (* x (pow (cbrt -1) 3)))))) (+ (* -1/3 (* (cbrt (pow x 8)) (/ 1 (pow (cbrt -1) 4)))) (* 5/9 (* (cbrt (pow x 8)) (/ 1 (pow (cbrt -1) 4)))))) (pow x 3))) (* -1 (* (cbrt (pow x 2)) (/ 1 (cbrt -1))))) (pow x 3))) (* 3 (* (cbrt (/ 1 (pow x 4))) (pow (cbrt -1) 2)))))>
#<alt (* -10/243 (cbrt (/ 1 (pow x 11))))>
#<alt (/ (+ (* -10/243 (cbrt x)) (* 5/81 (cbrt (pow x 4)))) (pow x 4))>
#<alt (/ (+ (* -10/243 (cbrt x)) (* x (+ (* -1/9 (cbrt (pow x 4))) (* 5/81 (cbrt x))))) (pow x 4))>
#<alt (/ (+ (* -10/243 (cbrt x)) (* x (+ (* 5/81 (cbrt x)) (* x (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))))))) (pow x 4))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))>
#<alt (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 2))))))>
#<alt (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (+ (* -10/243 (cbrt (/ 1 (pow x 11)))) (+ (* 5/81 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2)))))>
#<alt (+ (* -1 (/ (+ (* -1/9 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* -5/81 (cbrt (/ 1 (pow x 5))))) x)) (* 1/3 (cbrt (/ 1 (pow x 2)))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 5/81 (cbrt (/ 1 (pow x 2))))) x)) (* -1/9 (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))) x)) (* 1/3 (cbrt (/ 1 (pow x 2)))))>
#<alt (* -10/243 (cbrt (/ 1 (pow x 5))))>
#<alt (/ (+ (* -10/243 (cbrt x)) (* 5/81 (cbrt (pow x 4)))) (pow x 2))>
#<alt (/ (+ (* -10/243 (cbrt x)) (* x (+ (* -1/9 (cbrt (pow x 4))) (* 5/81 (cbrt x))))) (pow x 2))>
#<alt (/ (+ (* -10/243 (cbrt x)) (* x (+ (* 5/81 (cbrt x)) (* x (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))))))) (pow x 2))>
#<alt (* 1/3 (cbrt (pow x 4)))>
#<alt (* (pow x 2) (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))))>
#<alt (* (pow x 2) (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))))>
#<alt (* (pow x 2) (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (+ (* -10/243 (cbrt (/ 1 (pow x 11)))) (+ (* 5/81 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 2))))))))>
#<alt (* 1/3 (cbrt (pow x 4)))>
#<alt (* (pow x 2) (+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2))))))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1/9 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* -5/81 (cbrt (/ 1 (pow x 5))))) x)) (* 1/3 (cbrt (/ 1 (pow x 2))))))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 5/81 (cbrt (/ 1 (pow x 2))))) x)) (* -1/9 (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))) x)) (* 1/3 (cbrt (/ 1 (pow x 2))))))>
#<alt (* -1/9 (cbrt x))>
#<alt (* -1/9 (cbrt x))>
#<alt (* -1/9 (cbrt x))>
#<alt (* -1/9 (cbrt x))>
#<alt (* -1/9 (cbrt x))>
#<alt (* -1/9 (cbrt x))>
#<alt (* -1/9 (cbrt x))>
#<alt (* -1/9 (cbrt x))>
#<alt (* 1/9 (* (cbrt x) (cbrt -1)))>
#<alt (* 1/9 (* (cbrt x) (cbrt -1)))>
#<alt (* 1/9 (* (cbrt x) (cbrt -1)))>
#<alt (* 1/9 (* (cbrt x) (cbrt -1)))>
#<alt (cbrt (pow x 2))>
#<alt (cbrt (pow x 2))>
#<alt (cbrt (pow x 2))>
#<alt (cbrt (pow x 2))>
#<alt (cbrt (pow x 2))>
#<alt (cbrt (pow x 2))>
#<alt (cbrt (pow x 2))>
#<alt (cbrt (pow x 2))>
#<alt (* -1 (* (cbrt (pow x 2)) (cbrt -1)))>
#<alt (* -1 (* (cbrt (pow x 2)) (cbrt -1)))>
#<alt (* -1 (* (cbrt (pow x 2)) (cbrt -1)))>
#<alt (* -1 (* (cbrt (pow x 2)) (cbrt -1)))>
#<alt (- 1 (cbrt x))>
#<alt (- (+ 1 (* 1/3 x)) (cbrt x))>
#<alt (- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))>
#<alt (- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))>
#<alt (/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2))>
#<alt (/ (+ (* -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))>
#<alt (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))>
#<alt (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))>
#<alt (/ (+ (* -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))>
#<alt (/ (+ (* -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))>
#<alt (cbrt (pow x 4))>
#<alt (cbrt (pow x 4))>
#<alt (cbrt (pow x 4))>
#<alt (cbrt (pow x 4))>
#<alt (cbrt (pow x 4))>
#<alt (cbrt (pow x 4))>
#<alt (cbrt (pow x 4))>
#<alt (cbrt (pow x 4))>
#<alt (cbrt (pow x 4))>
#<alt (cbrt (pow x 4))>
#<alt (cbrt (pow x 4))>
#<alt (cbrt (pow x 4))>
#<alt (cbrt (/ 1 (pow x 5)))>
#<alt (cbrt (/ 1 (pow x 5)))>
#<alt (cbrt (/ 1 (pow x 5)))>
#<alt (cbrt (/ 1 (pow x 5)))>
#<alt (cbrt (/ 1 (pow x 5)))>
#<alt (cbrt (/ 1 (pow x 5)))>
#<alt (cbrt (/ 1 (pow x 5)))>
#<alt (cbrt (/ 1 (pow x 5)))>
#<alt (* -1 (* (cbrt (/ 1 (pow x 5))) (cbrt -1)))>
#<alt (* -1 (* (cbrt (/ 1 (pow x 5))) (cbrt -1)))>
#<alt (* -1 (* (cbrt (/ 1 (pow x 5))) (cbrt -1)))>
#<alt (* -1 (* (cbrt (/ 1 (pow x 5))) (cbrt -1)))>

Calls

63 calls:

Time	Variable		Point	Expression
15.0ms	x	@	0	(* 1/3 (cbrt (/ 1 (* x x))))
7.0ms	x	@	-inf	(* (log (/ 1 (- (cbrt (+ x 1)) (cbrt x)))) -1)
4.0ms	x	@	0	(* (log (/ 1 (- (cbrt (+ x 1)) (cbrt x)))) -1)
3.0ms	x	@	inf	(* (log (/ 1 (- (cbrt (+ x 1)) (cbrt x)))) -1)
3.0ms	x	@	inf	(cbrt (/ 1 (pow x 5)))

rewrite330.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

2720×	`-lowering-.f32`
2720×	`-lowering-.f64`
2232×	`/-lowering-/.f32`
2232×	`/-lowering-/.f64`
1990×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	143
1	210	137
2	1618	135
0	8349	128

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 815

Calls

Call 1

Inputs
(* 1/3 (cbrt (/ 1 (* x x))))
(cbrt (/ 1 (* x x)))
(/ 1 (* x x))
(* x x)
(- 1 (cbrt x))
(cbrt x)
(pow (pow x 2/3) 1/2)
(- (cbrt (+ x 1)) (pow (pow x 2/3) 1/2))
(cbrt (+ x 1))
(+ x 1)
(exp (* (log (/ 1 (- (cbrt (+ x 1)) (cbrt x)))) -1))
(* (log (/ 1 (- (cbrt (+ x 1)) (cbrt x)))) -1)
(log (/ 1 (- (cbrt (+ x 1)) (cbrt x))))
(/ 1 (- (cbrt (+ x 1)) (cbrt x)))
(/ (+ (* (cbrt x) -1/9) (+ (* 1/3 (cbrt (pow x 4))) (+ (* 5/81 (cbrt (/ 1 (* x x)))) (* -10/243 (cbrt (/ 1 (pow x 5))))))) (* x x))
(+ (* (cbrt x) -1/9) (+ (* 1/3 (cbrt (pow x 4))) (+ (* 5/81 (cbrt (/ 1 (* x x)))) (* -10/243 (cbrt (/ 1 (pow x 5)))))))
(* (cbrt x) -1/9)
(pow x 2/3)
(- (cbrt (+ x 1)) (cbrt x))
(cbrt (pow x 4))
(cbrt (/ 1 (pow x 5)))

Outputs
(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))
(/.f64 #s(literal -1/3 binary64) (neg.f64 (pow.f64 x #s(literal 2/3 binary64))))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64)))
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))
(exp.f64 (.f64 (.f64 #s(literal -2 binary64) (log.f64 x)) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2/3 binary64) (log.f64 x)) #s(literal -1 binary64)))
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(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2/3 binary64))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) (-.f64 #s(literal 0 binary64) (cbrt.f64 x))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) (cbrt.f64 x)))) #s(literal 1 binary64))
(/.f64 (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x)) (neg.f64 (+.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2/3 binary64))) (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))))))
(/.f64 (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x)) (neg.f64 (.f64 #s(literal 1 binary64) (+.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2/3 binary64))) (cbrt.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)))))))
(/.f64 (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x)) (neg.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (-.f64 (pow.f64 x #s(literal 2/3 binary64)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) (-.f64 #s(literal 0 binary64) (cbrt.f64 x)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2/3 binary64)))) (neg.f64 (+.f64 (cbrt.f64 x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2/3 binary64)))) (neg.f64 (*.f64 #s(literal 1 binary64) (+.f64 (cbrt.f64 x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2/3 binary64)))) (neg.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) (-.f64 #s(literal 0 binary64) (cbrt.f64 x)))))
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) (cbrt.f64 x))))))
(/.f64 (exp.f64 (log.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x))) (exp.f64 (log.f64 (+.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2/3 binary64))) (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)))))))
(/.f64 (exp.f64 (log.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2/3 binary64))))) (exp.f64 (log.f64 (+.f64 (cbrt.f64 x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) #s(literal 1 binary64)) (cbrt.f64 x)) #s(literal 1 binary64))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2/3 binary64))) (cbrt.f64 (.f64 x (+.f64 #s(literal 1 binary64) x))))) (.f64 (+.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2/3 binary64))) (cbrt.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)))) x)) (.f64 (+.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2/3 binary64))) (cbrt.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)))) (+.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2/3 binary64))) (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))))))
(/.f64 (-.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (+.f64 (cbrt.f64 x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)))) (.f64 (+.f64 (cbrt.f64 x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64))) (pow.f64 x #s(literal 2/3 binary64)))) (*.f64 (+.f64 (cbrt.f64 x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64))) (+.f64 (cbrt.f64 x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x))) (neg.f64 (neg.f64 (+.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2/3 binary64))) (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2/3 binary64))))) (neg.f64 (neg.f64 (+.f64 (cbrt.f64 x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64))))))
(pow.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) (cbrt.f64 x)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) (cbrt.f64 x))) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) (cbrt.f64 x)))))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) (cbrt.f64 x)))) #s(literal 1 binary64)))
(pow.f64 (/.f64 (+.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2/3 binary64))) (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)))) (-.f64 (+.f64 #s(literal 1 binary64) x) x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (cbrt.f64 x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2/3 binary64)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) (cbrt.f64 x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (log.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) (cbrt.f64 x))))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) (cbrt.f64 x))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) (cbrt.f64 x)))) #s(literal -1/2 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) (cbrt.f64 x)))
(*.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) (cbrt.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) (cbrt.f64 x))) #s(literal -1 binary64)))
(.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2/3 binary64))) (cbrt.f64 (.f64 x (+.f64 #s(literal 1 binary64) x))))))
(*.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2/3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (cbrt.f64 x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)))))
(*.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) (cbrt.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) (cbrt.f64 x)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2/3 binary64))) (cbrt.f64 (.f64 x (+.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2/3 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cbrt.f64 x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) (cbrt.f64 x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) (cbrt.f64 x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) (cbrt.f64 x)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) (cbrt.f64 x)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) x) x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2/3 binary64))) (cbrt.f64 (.f64 x (+.f64 #s(literal 1 binary64) x))))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2/3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (cbrt.f64 x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)))))
(*.f64 (/.f64 (+.f64 (cbrt.f64 x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64))) #s(literal 1 binary64)) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) (cbrt.f64 x)) (+.f64 (cbrt.f64 x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)))))
(.f64 (/.f64 (+.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2/3 binary64))) (cbrt.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) (cbrt.f64 x)) (+.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2/3 binary64))) (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))))))
(exp.f64 (.f64 (.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 4/3 binary64)))
(exp.f64 (+.f64 (.f64 #s(literal 2/3 binary64) (log.f64 x)) (.f64 #s(literal 2/3 binary64) (log.f64 x))))
(sqrt.f64 (pow.f64 x #s(literal 8/3 binary64)))
(cbrt.f64 (.f64 x (.f64 x (*.f64 x x))))
(pow.f64 x #s(literal 4/3 binary64))
(pow.f64 (*.f64 x x) #s(literal 2/3 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 4 binary64))
(pow.f64 (pow.f64 x #s(literal 4/3 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 x #s(literal 8/3 binary64)) #s(literal 1/2 binary64))
(pow.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (*.f64 x x)))) #s(literal 1/6 binary64))
(*.f64 x (cbrt.f64 x))
(*.f64 (cbrt.f64 x) x)
(*.f64 (pow.f64 x #s(literal 4/3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 4/3 binary64)))
(*.f64 (pow.f64 x #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2/3 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 4/3 binary64)) (pow.f64 x #s(literal 4/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 4/3 binary64)) (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 4/3 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 4/3 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 4/3 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 4/3 binary64)) (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 4/3 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal -5 binary64)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -5/3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 5 binary64) (log.f64 x)) #s(literal -1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 5/3 binary64))) #s(literal -1 binary64)))
(cbrt.f64 (pow.f64 x #s(literal -5 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5/3 binary64)))
(/.f64 #s(literal 1 binary64) (cbrt.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5 binary64))))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 x #s(literal 5/3 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 x #s(literal 5/3 binary64))))
(/.f64 (cbrt.f64 #s(literal -1 binary64)) (*.f64 (cbrt.f64 #s(literal -1 binary64)) (pow.f64 x #s(literal 5/3 binary64))))
(/.f64 (cbrt.f64 (pow.f64 x #s(literal -5/2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 5/2 binary64))))
(/.f64 (neg.f64 (cbrt.f64 #s(literal -1 binary64))) (neg.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) (pow.f64 x #s(literal 5/3 binary64)))))
(pow.f64 x #s(literal -5/3 binary64))
(pow.f64 (*.f64 x x) #s(literal -5/6 binary64))
(pow.f64 (cbrt.f64 x) #s(literal -5 binary64))
(pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/3 binary64))
(pow.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 x #s(literal 5/3 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal -5/2 binary64))
(pow.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal -2/3 binary64))
(pow.f64 (pow.f64 x #s(literal -5/6 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal -5 binary64)) (pow.f64 x #s(literal -5 binary64))) #s(literal 1/6 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -5/3 binary64)))
(*.f64 (pow.f64 x #s(literal -5/3 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal -5/3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal -5/3 binary64)))
(*.f64 (pow.f64 x #s(literal -5/3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal -1/3 binary64)))
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 5 binary64))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 5 binary64)))))
(*.f64 (pow.f64 x #s(literal -5/6 binary64)) (pow.f64 x #s(literal -5/6 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -5/3 binary64)) (pow.f64 x #s(literal -5/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -5/3 binary64)) (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal -5/3 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal -5/3 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -5/3 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -5/3 binary64)) (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -5/3 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal -1/3 binary64)) (pow.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal -1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal -1/3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal 1 binary64)) #s(literal -1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x #s(literal 5/2 binary64))) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (pow.f64 x #s(literal 5/2 binary64))) #s(literal -1 binary64)))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -5/2 binary64))) (cbrt.f64 (pow.f64 x #s(literal -5/2 binary64))))

simplify302.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

5296×	`-lowering-.f32`
5296×	`-lowering-.f64`
2220×	`+-lowering-+.f64`
2220×	`+-lowering-+.f32`
1638×	`sum3-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	513	3902
1	1620	3474
2	5886	3432
0	8687	3432

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 252

Calls

Call 1

Inputs
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
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(- 1 (cbrt x))
(- 1 (cbrt x))
(* -1 (cbrt x))
(* x (- (/ 1 x) (cbrt (/ 1 (pow x 2)))))
(* x (- (/ 1 x) (cbrt (/ 1 (pow x 2)))))
(* x (- (/ 1 x) (cbrt (/ 1 (pow x 2)))))
(* (cbrt x) (cbrt -1))
(* x (+ (* (cbrt (/ 1 (pow x 2))) (cbrt -1)) (/ 1 x)))
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(* x (+ (* (cbrt (/ 1 (pow x 2))) (cbrt -1)) (/ 1 x)))
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(* -1 (* (cbrt x) (cbrt -1)))
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(* -1 (* (cbrt x) (cbrt -1)))
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(* -1 (cbrt x))
(* -1 (cbrt x))
(* -1 (cbrt x))
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(- 1 (cbrt x))
(- (+ 1 (* 1/3 x)) (cbrt x))
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))
(/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2))
(/ (+ (* -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))
(* -1 (* x (- (* (cbrt (/ 1 (pow x 2))) (cbrt -1)) (cbrt (/ 1 (pow x 2))))))
(* -1 (* x (- (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (cbrt (/ 1 (pow x 2))))))
(* -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))) (cbrt (/ 1 (pow x 2))))))
(* -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))) (cbrt (/ 1 (pow x 2))))))
1
(+ 1 (* 1/3 x))
(+ 1 (* x (+ 1/3 (* -1/9 x))))
(+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9)))))
(cbrt x)
(* x (+ (cbrt (/ 1 (pow x 2))) (* 1/3 (cbrt (/ 1 (pow x 5))))))
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))))
(* 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))))))))
(* -1 (* (cbrt x) (cbrt -1)))
(* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(* -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)))))
(* -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)))))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(- 1 (cbrt x))
(- (+ 1 (* 1/3 x)) (cbrt x))
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))
(/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2))
(/ (+ (* -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))
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))
(/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(/ (+ (* -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))
(/ (+ (* -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))
(* -1 (log (/ 1 (- 1 (cbrt x)))))
(+ (* -1 (log (/ 1 (- 1 (cbrt x))))) (* 1/3 (/ x (- 1 (cbrt x)))))
(+ (* -1 (log (/ 1 (- 1 (cbrt x))))) (* x (+ (* -1/2 (* x (- (* 2 (* (+ (* 1/9 (/ 1 (pow (- 1 (cbrt x)) 2))) (* 1/9 (/ 1 (pow (- 1 (cbrt x)) 3)))) (- 1 (cbrt x)))) (* 1/9 (/ 1 (pow (- 1 (cbrt x)) 2)))))) (* 1/3 (/ 1 (- 1 (cbrt x)))))))
(+ (* -1 (log (/ 1 (- 1 (cbrt x))))) (* x (+ (* x (+ (* -1/2 (- (* 2 (* (+ (* 1/9 (/ 1 (pow (- 1 (cbrt x)) 2))) (* 1/9 (/ 1 (pow (- 1 (cbrt x)) 3)))) (- 1 (cbrt x)))) (* 1/9 (/ 1 (pow (- 1 (cbrt x)) 2))))) (* -1/6 (* x (- (+ (* -6 (* (+ (* 5/81 (/ 1 (pow (- 1 (cbrt x)) 2))) (+ (* 1/3 (/ (+ (* 1/9 (/ 1 (pow (- 1 (cbrt x)) 2))) (* 1/9 (/ 1 (pow (- 1 (cbrt x)) 3)))) (- 1 (cbrt x)))) (* 1/27 (/ 1 (pow (- 1 (cbrt x)) 3))))) (- 1 (cbrt x)))) (* 2 (+ (* 1/9 (/ 1 (pow (- 1 (cbrt x)) 2))) (* 1/9 (/ 1 (pow (- 1 (cbrt x)) 3)))))) (* 2/27 (/ 1 (pow (- 1 (cbrt x)) 3)))))))) (* 1/3 (/ 1 (- 1 (cbrt x)))))))
(* -1 (+ (log (* 3 (cbrt (/ 1 (pow x 4))))) (* -2 (log (/ 1 x)))))
(- (* -1 (+ (log (* 3 (cbrt (/ 1 (pow x 4))))) (* -2 (log (/ 1 x))))) (* 1/3 (/ 1 x)))
(- (+ (* -1 (+ (log (* 3 (cbrt (/ 1 (pow x 4))))) (* -2 (log (/ 1 x))))) (* -1/720 (/ (- (* -240 (* (cbrt (pow x 4)) (+ (* -1/3 (cbrt (pow x 8))) (* 5/9 (cbrt (pow x 8)))))) (* 40 (pow x 4))) (pow x 6)))) (/ 1/3 x))
(- (+ (* -1 (+ (log (* 3 (cbrt (/ 1 (pow x 4))))) (* -2 (log (/ 1 x))))) (+ (* -1/720 (/ (- (* -240 (* (cbrt (pow x 4)) (+ (* -1/3 (cbrt (pow x 8))) (* 5/9 (cbrt (pow x 8)))))) (* 40 (pow x 4))) (pow x 6))) (* -1/362880 (/ (+ (* -120960 (* (cbrt (pow x 4)) (+ (* -10/27 (cbrt (pow x 14))) (+ (* 5/27 (cbrt (pow x 14))) (* 1/3 (* (pow x 2) (+ (* -1/3 (cbrt (pow x 8))) (* 5/9 (cbrt (pow x 8)))))))))) (+ (* 4480 (pow x 6)) (* 40320 (* (cbrt (pow x 10)) (+ (* -1/3 (cbrt (pow x 8))) (* 5/9 (cbrt (pow x 8)))))))) (pow x 9))))) (/ 1/3 x))
(* -1 (+ (log (* 3 (* (cbrt (/ 1 (pow x 4))) (pow (cbrt -1) 2)))) (* -2 (log (/ -1 x)))))
(+ (* -1 (+ (log (* 3 (* (cbrt (/ 1 (pow x 4))) (pow (cbrt -1) 2)))) (* -2 (log (/ -1 x))))) (* 1/3 (/ 1 (* x (pow (cbrt -1) 3)))))
(+ (* -1 (+ (log (* 3 (* (cbrt (/ 1 (pow x 4))) (pow (cbrt -1) 2)))) (* -2 (log (/ -1 x))))) (* -1 (/ (- (* 1/720 (/ (- (* -240 (* (cbrt (pow x 4)) (/ (+ (* -1/3 (* (cbrt (pow x 8)) (/ 1 (pow (cbrt -1) 4)))) (* 5/9 (* (cbrt (pow x 8)) (/ 1 (pow (cbrt -1) 4))))) (pow (cbrt -1) 2)))) (* 40 (/ (pow x 4) (pow (cbrt -1) 6)))) (pow x 3))) (* 1/3 (/ (pow x 2) (pow (cbrt -1) 3)))) (pow x 3))))
(+ (* -1 (+ (log (* 3 (* (cbrt (/ 1 (pow x 4))) (pow (cbrt -1) 2)))) (* -2 (log (/ -1 x))))) (* -1 (/ (- (* -1 (/ (+ (* -1/720 (- (* -240 (* (cbrt (pow x 4)) (/ (+ (* -1/3 (* (cbrt (pow x 8)) (/ 1 (pow (cbrt -1) 4)))) (* 5/9 (* (cbrt (pow x 8)) (/ 1 (pow (cbrt -1) 4))))) (pow (cbrt -1) 2)))) (* 40 (/ (pow x 4) (pow (cbrt -1) 6))))) (* 1/362880 (/ (+ (* -120960 (* (cbrt (pow x 4)) (/ (+ (* -10/27 (* (cbrt (pow x 14)) (/ 1 (pow (cbrt -1) 7)))) (+ (* 5/27 (* (cbrt (pow x 14)) (/ 1 (pow (cbrt -1) 7)))) (* 1/3 (/ (* (pow x 2) (+ (* -1/3 (* (cbrt (pow x 8)) (/ 1 (pow (cbrt -1) 4)))) (* 5/9 (* (cbrt (pow x 8)) (/ 1 (pow (cbrt -1) 4)))))) (pow (cbrt -1) 3))))) (pow (cbrt -1) 2)))) (+ (* 4480 (/ (pow x 6) (pow (cbrt -1) 9))) (* 40320 (* (cbrt (pow x 10)) (/ (+ (* -1/3 (* (cbrt (pow x 8)) (/ 1 (pow (cbrt -1) 4)))) (* 5/9 (* (cbrt (pow x 8)) (/ 1 (pow (cbrt -1) 4))))) (pow (cbrt -1) 5)))))) (pow x 3)))) (pow x 3))) (* 1/3 (/ (pow x 2) (pow (cbrt -1) 3)))) (pow x 3))))
(log (/ 1 (- 1 (cbrt x))))
(+ (log (/ 1 (- 1 (cbrt x)))) (* -1/3 (/ x (- 1 (cbrt x)))))
(+ (log (/ 1 (- 1 (cbrt x)))) (* x (- (* 1/2 (* x (- (* 2 (* (+ (* 1/9 (/ 1 (pow (- 1 (cbrt x)) 2))) (* 1/9 (/ 1 (pow (- 1 (cbrt x)) 3)))) (- 1 (cbrt x)))) (* 1/9 (/ 1 (pow (- 1 (cbrt x)) 2)))))) (* 1/3 (/ 1 (- 1 (cbrt x)))))))
(+ (log (/ 1 (- 1 (cbrt x)))) (* x (- (* x (+ (* 1/6 (* x (- (+ (* -6 (* (+ (* 1/27 (/ 1 (pow (- 1 (cbrt x)) 3))) (+ (* 1/3 (/ (+ (* 1/9 (/ 1 (pow (- 1 (cbrt x)) 2))) (* 1/9 (/ 1 (pow (- 1 (cbrt x)) 3)))) (- 1 (cbrt x)))) (* 5/81 (/ 1 (pow (- 1 (cbrt x)) 2))))) (- 1 (cbrt x)))) (* 2 (+ (* 1/9 (/ 1 (pow (- 1 (cbrt x)) 2))) (* 1/9 (/ 1 (pow (- 1 (cbrt x)) 3)))))) (* 2/27 (/ 1 (pow (- 1 (cbrt x)) 3)))))) (* 1/2 (- (* 2 (* (+ (* 1/9 (/ 1 (pow (- 1 (cbrt x)) 2))) (* 1/9 (/ 1 (pow (- 1 (cbrt x)) 3)))) (- 1 (cbrt x)))) (* 1/9 (/ 1 (pow (- 1 (cbrt x)) 2))))))) (* 1/3 (/ 1 (- 1 (cbrt x)))))))
(+ (log (* 3 (cbrt (/ 1 (pow x 4))))) (* -2 (log (/ 1 x))))
(+ (log (* 3 (cbrt (/ 1 (pow x 4))))) (+ (* -2 (log (/ 1 x))) (* 1/3 (/ 1 x))))
(+ (log (* 3 (cbrt (/ 1 (pow x 4))))) (+ (* -2 (log (/ 1 x))) (+ (* 1/720 (/ (- (* -240 (* (cbrt (pow x 4)) (+ (* -1/3 (cbrt (pow x 8))) (* 5/9 (cbrt (pow x 8)))))) (* 40 (pow x 4))) (pow x 6))) (/ 1/3 x))))
(+ (log (* 3 (cbrt (/ 1 (pow x 4))))) (+ (* -2 (log (/ 1 x))) (+ (* 1/362880 (/ (+ (* -120960 (* (cbrt (pow x 4)) (+ (* -10/27 (cbrt (pow x 14))) (+ (* 5/27 (cbrt (pow x 14))) (* 1/3 (* (pow x 2) (+ (* -1/3 (cbrt (pow x 8))) (* 5/9 (cbrt (pow x 8)))))))))) (+ (* 4480 (pow x 6)) (* 40320 (* (cbrt (pow x 10)) (+ (* -1/3 (cbrt (pow x 8))) (* 5/9 (cbrt (pow x 8)))))))) (pow x 9))) (+ (* 1/720 (/ (- (* -240 (* (cbrt (pow x 4)) (+ (* -1/3 (cbrt (pow x 8))) (* 5/9 (cbrt (pow x 8)))))) (* 40 (pow x 4))) (pow x 6))) (/ 1/3 x)))))
(+ (log (* 3 (* (cbrt (/ 1 (pow x 4))) (pow (cbrt -1) 2)))) (* -2 (log (/ -1 x))))
(- (+ (log (* 3 (* (cbrt (/ 1 (pow x 4))) (pow (cbrt -1) 2)))) (* -2 (log (/ -1 x)))) (* 1/3 (/ 1 (* x (pow (cbrt -1) 3)))))
(+ (log (* 3 (* (cbrt (/ 1 (pow x 4))) (pow (cbrt -1) 2)))) (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ (* -1/720 (/ (- (* -240 (* (cbrt (pow x 4)) (/ (+ (* -1/3 (* (cbrt (pow x 8)) (/ 1 (pow (cbrt -1) 4)))) (* 5/9 (* (cbrt (pow x 8)) (/ 1 (pow (cbrt -1) 4))))) (pow (cbrt -1) 2)))) (* 40 (/ (pow x 4) (pow (cbrt -1) 6)))) (pow x 3))) (* 1/3 (/ (pow x 2) (pow (cbrt -1) 3)))) (pow x 3)))))
(+ (log (* 3 (* (cbrt (/ 1 (pow x 4))) (pow (cbrt -1) 2)))) (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ (* -1 (/ (+ (* -1/362880 (/ (+ (* -120960 (* (cbrt (pow x 4)) (/ (+ (* -10/27 (* (cbrt (pow x 14)) (/ 1 (pow (cbrt -1) 7)))) (+ (* 5/27 (* (cbrt (pow x 14)) (/ 1 (pow (cbrt -1) 7)))) (* 1/3 (/ (* (pow x 2) (+ (* -1/3 (* (cbrt (pow x 8)) (/ 1 (pow (cbrt -1) 4)))) (* 5/9 (* (cbrt (pow x 8)) (/ 1 (pow (cbrt -1) 4)))))) (pow (cbrt -1) 3))))) (pow (cbrt -1) 2)))) (+ (* 4480 (/ (pow x 6) (pow (cbrt -1) 9))) (* 40320 (* (cbrt (pow x 10)) (/ (+ (* -1/3 (* (cbrt (pow x 8)) (/ 1 (pow (cbrt -1) 4)))) (* 5/9 (* (cbrt (pow x 8)) (/ 1 (pow (cbrt -1) 4))))) (pow (cbrt -1) 5)))))) (pow x 3))) (* 1/720 (- (* -240 (* (cbrt (pow x 4)) (/ (+ (* -1/3 (* (cbrt (pow x 8)) (/ 1 (pow (cbrt -1) 4)))) (* 5/9 (* (cbrt (pow x 8)) (/ 1 (pow (cbrt -1) 4))))) (pow (cbrt -1) 2)))) (* 40 (/ (pow x 4) (pow (cbrt -1) 6)))))) (pow x 3))) (* 1/3 (/ (pow x 2) (pow (cbrt -1) 3)))) (pow x 3)))))
(/ 1 (- 1 (cbrt x)))
(+ (* -1/3 (/ x (pow (- 1 (cbrt x)) 2))) (/ 1 (- 1 (cbrt x))))
(+ (* x (- (* x (+ (* 1/9 (/ 1 (pow (- 1 (cbrt x)) 2))) (* 1/9 (/ 1 (pow (- 1 (cbrt x)) 3))))) (* 1/3 (/ 1 (pow (- 1 (cbrt x)) 2))))) (/ 1 (- 1 (cbrt x))))
(+ (* x (- (* x (+ (* -1 (* x (+ (* 1/27 (/ 1 (pow (- 1 (cbrt x)) 3))) (+ (* 5/81 (/ 1 (pow (- 1 (cbrt x)) 2))) (* 1/3 (/ (+ (* 1/9 (/ 1 (pow (- 1 (cbrt x)) 2))) (* 1/9 (/ 1 (pow (- 1 (cbrt x)) 3)))) (- 1 (cbrt x)))))))) (+ (* 1/9 (/ 1 (pow (- 1 (cbrt x)) 2))) (* 1/9 (/ 1 (pow (- 1 (cbrt x)) 3)))))) (* 1/3 (/ 1 (pow (- 1 (cbrt x)) 2))))) (/ 1 (- 1 (cbrt x))))
(* 3 (cbrt (pow x 2)))
(* (pow x 2) (+ (cbrt (/ 1 (pow x 7))) (* 3 (cbrt (/ 1 (pow x 4))))))
(* (pow x 2) (- (+ (* -1 (/ (+ (* -1/3 (cbrt (pow x 8))) (* 5/9 (cbrt (pow x 8)))) (pow x 6))) (* 3 (cbrt (/ 1 (pow x 4))))) (* -1 (cbrt (/ 1 (pow x 7))))))
(* (pow x 2) (- (+ (* -1 (/ (+ (* -10/27 (cbrt (pow x 14))) (+ (* 5/27 (cbrt (pow x 14))) (* 1/3 (* (pow x 2) (+ (* -1/3 (cbrt (pow x 8))) (* 5/9 (cbrt (pow x 8)))))))) (pow x 9))) (* 3 (cbrt (/ 1 (pow x 4))))) (+ (* -1 (cbrt (/ 1 (pow x 7)))) (+ (* -1/3 (cbrt (/ 1 (pow x 10)))) (* 5/9 (cbrt (/ 1 (pow x 10))))))))
(* 3 (* (cbrt (pow x 2)) (pow (cbrt -1) 2)))
(* (pow x 2) (+ (* -1 (* (cbrt (/ 1 (pow x 7))) (/ 1 (cbrt -1)))) (* 3 (* (cbrt (/ 1 (pow x 4))) (pow (cbrt -1) 2)))))
(* (pow x 2) (+ (* -1 (/ (- (+ (* -1/3 (* (cbrt (/ 1 x)) (/ 1 (pow (cbrt -1) 4)))) (* 5/9 (* (cbrt (/ 1 x)) (/ 1 (pow (cbrt -1) 4))))) (* -1 (* (cbrt (pow x 2)) (/ 1 (cbrt -1))))) (pow x 3))) (* 3 (* (cbrt (/ 1 (pow x 4))) (pow (cbrt -1) 2)))))
(* (pow x 2) (+ (* -1 (/ (- (* -1 (/ (- (+ (* -10/27 (* (cbrt (pow x 5)) (/ 1 (pow (cbrt -1) 7)))) (+ (* 5/27 (* (cbrt (pow x 5)) (/ 1 (pow (cbrt -1) 7)))) (* 1/3 (/ (+ (* -1/3 (* (cbrt (pow x 8)) (/ 1 (pow (cbrt -1) 4)))) (* 5/9 (* (cbrt (pow x 8)) (/ 1 (pow (cbrt -1) 4))))) (* x (pow (cbrt -1) 3)))))) (+ (* -1/3 (* (cbrt (pow x 8)) (/ 1 (pow (cbrt -1) 4)))) (* 5/9 (* (cbrt (pow x 8)) (/ 1 (pow (cbrt -1) 4)))))) (pow x 3))) (* -1 (* (cbrt (pow x 2)) (/ 1 (cbrt -1))))) (pow x 3))) (* 3 (* (cbrt (/ 1 (pow x 4))) (pow (cbrt -1) 2)))))
(* -10/243 (cbrt (/ 1 (pow x 11))))
(/ (+ (* -10/243 (cbrt x)) (* 5/81 (cbrt (pow x 4)))) (pow x 4))
(/ (+ (* -10/243 (cbrt x)) (* x (+ (* -1/9 (cbrt (pow x 4))) (* 5/81 (cbrt x))))) (pow x 4))
(/ (+ (* -10/243 (cbrt x)) (* x (+ (* 5/81 (cbrt x)) (* x (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))))))) (pow x 4))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))
(+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 2))))))
(+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (+ (* -10/243 (cbrt (/ 1 (pow x 11)))) (+ (* 5/81 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2)))))
(+ (* -1 (/ (+ (* -1/9 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* -5/81 (cbrt (/ 1 (pow x 5))))) x)) (* 1/3 (cbrt (/ 1 (pow x 2)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 5/81 (cbrt (/ 1 (pow x 2))))) x)) (* -1/9 (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))) x)) (* 1/3 (cbrt (/ 1 (pow x 2)))))
(* -10/243 (cbrt (/ 1 (pow x 5))))
(/ (+ (* -10/243 (cbrt x)) (* 5/81 (cbrt (pow x 4)))) (pow x 2))
(/ (+ (* -10/243 (cbrt x)) (* x (+ (* -1/9 (cbrt (pow x 4))) (* 5/81 (cbrt x))))) (pow x 2))
(/ (+ (* -10/243 (cbrt x)) (* x (+ (* 5/81 (cbrt x)) (* x (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))))))) (pow x 2))
(* 1/3 (cbrt (pow x 4)))
(* (pow x 2) (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))))
(* (pow x 2) (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))))
(* (pow x 2) (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (+ (* -10/243 (cbrt (/ 1 (pow x 11)))) (+ (* 5/81 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 2))))))))
(* 1/3 (cbrt (pow x 4)))
(* (pow x 2) (+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2))))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1/9 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* -5/81 (cbrt (/ 1 (pow x 5))))) x)) (* 1/3 (cbrt (/ 1 (pow x 2))))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 5/81 (cbrt (/ 1 (pow x 2))))) x)) (* -1/9 (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))) x)) (* 1/3 (cbrt (/ 1 (pow x 2))))))
(* -1/9 (cbrt x))
(* -1/9 (cbrt x))
(* -1/9 (cbrt x))
(* -1/9 (cbrt x))
(* -1/9 (cbrt x))
(* -1/9 (cbrt x))
(* -1/9 (cbrt x))
(* -1/9 (cbrt x))
(* 1/9 (* (cbrt x) (cbrt -1)))
(* 1/9 (* (cbrt x) (cbrt -1)))
(* 1/9 (* (cbrt x) (cbrt -1)))
(* 1/9 (* (cbrt x) (cbrt -1)))
(cbrt (pow x 2))
(cbrt (pow x 2))
(cbrt (pow x 2))
(cbrt (pow x 2))
(cbrt (pow x 2))
(cbrt (pow x 2))
(cbrt (pow x 2))
(cbrt (pow x 2))
(* -1 (* (cbrt (pow x 2)) (cbrt -1)))
(* -1 (* (cbrt (pow x 2)) (cbrt -1)))
(* -1 (* (cbrt (pow x 2)) (cbrt -1)))
(* -1 (* (cbrt (pow x 2)) (cbrt -1)))
(- 1 (cbrt x))
(- (+ 1 (* 1/3 x)) (cbrt x))
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))
(/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2))
(/ (+ (* -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))
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))
(/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(/ (+ (* -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))
(/ (+ (* -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))
(cbrt (pow x 4))
(cbrt (pow x 4))
(cbrt (pow x 4))
(cbrt (pow x 4))
(cbrt (pow x 4))
(cbrt (pow x 4))
(cbrt (pow x 4))
(cbrt (pow x 4))
(cbrt (pow x 4))
(cbrt (pow x 4))
(cbrt (pow x 4))
(cbrt (pow x 4))
(cbrt (/ 1 (pow x 5)))
(cbrt (/ 1 (pow x 5)))
(cbrt (/ 1 (pow x 5)))
(cbrt (/ 1 (pow x 5)))
(cbrt (/ 1 (pow x 5)))
(cbrt (/ 1 (pow x 5)))
(cbrt (/ 1 (pow x 5)))
(cbrt (/ 1 (pow x 5)))
(* -1 (* (cbrt (/ 1 (pow x 5))) (cbrt -1)))
(* -1 (* (cbrt (/ 1 (pow x 5))) (cbrt -1)))
(* -1 (* (cbrt (/ 1 (pow x 5))) (cbrt -1)))
(* -1 (* (cbrt (/ 1 (pow x 5))) (cbrt -1)))

Outputs
(* 1/3 (cbrt (/ 1 (pow x 2))))
(.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))
(cbrt (/ 1 (pow x 2)))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(cbrt (/ 1 (pow x 2)))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(cbrt (/ 1 (pow x 2)))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(cbrt (/ 1 (pow x 2)))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(cbrt (/ 1 (pow x 2)))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(cbrt (/ 1 (pow x 2)))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(cbrt (/ 1 (pow x 2)))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(cbrt (/ 1 (pow x 2)))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(cbrt (/ 1 (pow x 2)))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(cbrt (/ 1 (pow x 2)))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(cbrt (/ 1 (pow x 2)))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(cbrt (/ 1 (pow x 2)))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(- 1 (cbrt x))
(-.f64 #s(literal 1 binary64) (cbrt.f64 x))
(- 1 (cbrt x))
(-.f64 #s(literal 1 binary64) (cbrt.f64 x))
(- 1 (cbrt x))
(-.f64 #s(literal 1 binary64) (cbrt.f64 x))
(- 1 (cbrt x))
(-.f64 #s(literal 1 binary64) (cbrt.f64 x))
(* -1 (cbrt x))
(-.f64 #s(literal 0 binary64) (cbrt.f64 x))
(* x (- (/ 1 x) (cbrt (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal 0 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))))
(* x (- (/ 1 x) (cbrt (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal 0 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))))
(* x (- (/ 1 x) (cbrt (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal 0 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))))
(* (cbrt x) (cbrt -1))
(*.f64 (cbrt.f64 x) (cbrt.f64 #s(literal -1 binary64)))
(* x (+ (* (cbrt (/ 1 (pow x 2))) (cbrt -1)) (/ 1 x)))
(+.f64 #s(literal 1 binary64) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) (*.f64 (cbrt.f64 #s(literal -1 binary64)) x)))
(* x (+ (* (cbrt (/ 1 (pow x 2))) (cbrt -1)) (/ 1 x)))
(+.f64 #s(literal 1 binary64) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) (*.f64 (cbrt.f64 #s(literal -1 binary64)) x)))
(* x (+ (* (cbrt (/ 1 (pow x 2))) (cbrt -1)) (/ 1 x)))
(+.f64 #s(literal 1 binary64) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) (*.f64 (cbrt.f64 #s(literal -1 binary64)) x)))
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(* -1 (* (cbrt x) (cbrt -1)))
(.f64 (cbrt.f64 x) (.f64 #s(literal -1 binary64) (cbrt.f64 #s(literal -1 binary64))))
(* -1 (* (cbrt x) (cbrt -1)))
(.f64 (cbrt.f64 x) (.f64 #s(literal -1 binary64) (cbrt.f64 #s(literal -1 binary64))))
(* -1 (* (cbrt x) (cbrt -1)))
(.f64 (cbrt.f64 x) (.f64 #s(literal -1 binary64) (cbrt.f64 #s(literal -1 binary64))))
(* -1 (* (cbrt x) (cbrt -1)))
(.f64 (cbrt.f64 x) (.f64 #s(literal -1 binary64) (cbrt.f64 #s(literal -1 binary64))))
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(* -1 (cbrt x))
(-.f64 #s(literal 0 binary64) (cbrt.f64 x))
(* -1 (cbrt x))
(-.f64 #s(literal 0 binary64) (cbrt.f64 x))
(* -1 (cbrt x))
(-.f64 #s(literal 0 binary64) (cbrt.f64 x))
(* -1 (cbrt x))
(-.f64 #s(literal 0 binary64) (cbrt.f64 x))
(- 1 (cbrt x))
(-.f64 #s(literal 1 binary64) (cbrt.f64 x))
(- (+ 1 (* 1/3 x)) (cbrt x))
(+.f64 (*.f64 #s(literal 1/3 binary64) x) (-.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))
(+.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/9 binary64)))) (-.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))
(+.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (+.f64 #s(literal -1/9 binary64) (*.f64 x #s(literal 5/81 binary64)))))) (-.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))
(/.f64 (+.f64 (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))) (*.f64 x x))
(/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2))
(/.f64 (+.f64 (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (+.f64 (.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 5/81 binary64)))) (*.f64 x x))
(/ (+ (* -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))
(/.f64 (+.f64 (+.f64 (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (+.f64 (.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 5/81 binary64)))) (.f64 #s(literal -10/243 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) (.f64 x x))
(* -1 (* x (- (* (cbrt (/ 1 (pow x 2))) (cbrt -1)) (cbrt (/ 1 (pow x 2))))))
(.f64 (-.f64 (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)))) (neg.f64 x))
(* -1 (* x (- (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (cbrt (/ 1 (pow x 2))))))
(.f64 (+.f64 (-.f64 (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)))) (*.f64 #s(literal -1/3 binary64) (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (neg.f64 x))
(* -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))) (cbrt (/ 1 (pow x 2))))))
(.f64 (-.f64 (-.f64 (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) (cbrt.f64 #s(literal -1 binary64))) (/.f64 (+.f64 (/.f64 (.f64 (cbrt.f64 x) #s(literal 1/9 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (.f64 x (.f64 x x)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)))) (neg.f64 x))
(* -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))) (cbrt (/ 1 (pow x 2))))))
(.f64 (-.f64 (-.f64 (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) (cbrt.f64 #s(literal -1 binary64))) (/.f64 (-.f64 (.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 (+.f64 (.f64 #s(literal -1/9 binary64) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 10 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (/.f64 (.f64 #s(literal -5/81 binary64) (cbrt.f64 (pow.f64 x #s(literal 7 binary64)))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64)))) (.f64 x (.f64 x x)))) (.f64 x (.f64 x x)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 x))
1
#s(literal 1 binary64)
(+ 1 (* 1/3 x))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) x))
(+ 1 (* x (+ 1/3 (* -1/9 x))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/9 binary64)))))
(+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9)))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (+.f64 #s(literal -1/9 binary64) (*.f64 x #s(literal 5/81 binary64)))))))
(cbrt x)
(cbrt.f64 x)
(* x (+ (cbrt (/ 1 (pow x 2))) (* 1/3 (cbrt (/ 1 (pow x 5))))))
(.f64 x (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))))
(.f64 x (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) (+.f64 (.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 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))))))))
(.f64 x (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) (+.f64 (.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (+.f64 (.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64))))) (*.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 11 binary64)))))))))
(* -1 (* (cbrt x) (cbrt -1)))
(.f64 (cbrt.f64 x) (.f64 #s(literal -1 binary64) (cbrt.f64 #s(literal -1 binary64))))
(* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(.f64 (+.f64 (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) (cbrt.f64 #s(literal -1 binary64))) (.f64 #s(literal -1/3 binary64) (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (neg.f64 x))
(* -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)))))
(.f64 (-.f64 (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) (cbrt.f64 #s(literal -1 binary64))) (/.f64 (+.f64 (/.f64 (.f64 (cbrt.f64 x) #s(literal 1/9 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (.f64 x (*.f64 x x)))) (neg.f64 x))
(* -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)))))
(.f64 (-.f64 (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) (cbrt.f64 #s(literal -1 binary64))) (/.f64 (-.f64 (.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 (+.f64 (.f64 #s(literal -1/9 binary64) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 10 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (/.f64 (.f64 #s(literal -5/81 binary64) (cbrt.f64 (pow.f64 x #s(literal 7 binary64)))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64)))) (.f64 x (.f64 x x)))) (.f64 x (.f64 x x)))) (neg.f64 x))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
x
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
x
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(- 1 (cbrt x))
(-.f64 #s(literal 1 binary64) (cbrt.f64 x))
(- (+ 1 (* 1/3 x)) (cbrt x))
(+.f64 (*.f64 #s(literal 1/3 binary64) x) (-.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))
(+.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/9 binary64)))) (-.f64 #s(literal 1 binary64) (cbrt.f64 x)))
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(*.f64 #s(literal -10/243 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 11 binary64)))))
(/ (+ (* -10/243 (cbrt x)) (* 5/81 (cbrt (pow x 4)))) (pow x 4))
(/.f64 (+.f64 (.f64 (cbrt.f64 x) #s(literal -10/243 binary64)) (.f64 #s(literal 5/81 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 4 binary64)))
(/ (+ (* -10/243 (cbrt x)) (* x (+ (* -1/9 (cbrt (pow x 4))) (* 5/81 (cbrt x))))) (pow x 4))
(/.f64 (+.f64 (.f64 (cbrt.f64 x) #s(literal -10/243 binary64)) (.f64 x (+.f64 (.f64 #s(literal -1/9 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (.f64 (cbrt.f64 x) #s(literal 5/81 binary64))))) (pow.f64 x #s(literal 4 binary64)))
(/ (+ (* -10/243 (cbrt x)) (* x (+ (* 5/81 (cbrt x)) (* x (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))))))) (pow x 4))
(/.f64 (+.f64 (.f64 (cbrt.f64 x) #s(literal -10/243 binary64)) (.f64 x (+.f64 (.f64 (cbrt.f64 x) #s(literal 5/81 binary64)) (.f64 x (+.f64 (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))))))) (pow.f64 x #s(literal 4 binary64)))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))
(+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))
(+.f64 (.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)))) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))
(+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 2))))))
(+.f64 (.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (+.f64 (.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)))) (.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64)))))))
(+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (+ (* -10/243 (cbrt (/ 1 (pow x 11)))) (+ (* 5/81 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))))
(+.f64 (.f64 #s(literal -10/243 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 11 binary64))))) (+.f64 (.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (+.f64 (.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)))) (*.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64))))))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))
(+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2)))))
(+.f64 (.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)))) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 1/9 binary64))))
(+ (* -1 (/ (+ (* -1/9 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* -5/81 (cbrt (/ 1 (pow x 5))))) x)) (* 1/3 (cbrt (/ 1 (pow x 2)))))
(-.f64 (.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)))) (/.f64 (+.f64 (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal -1/9 binary64))) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -5/81 binary64))) x))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 5/81 (cbrt (/ 1 (pow x 2))))) x)) (* -1/9 (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))) x)) (* 1/3 (cbrt (/ 1 (pow x 2)))))
(-.f64 (.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)))) (/.f64 (-.f64 (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal -1/9 binary64))) (/.f64 (+.f64 (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 5/81 binary64)) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 10/243 binary64)))) x)) x))
(* -10/243 (cbrt (/ 1 (pow x 5))))
(*.f64 #s(literal -10/243 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))
(/ (+ (* -10/243 (cbrt x)) (* 5/81 (cbrt (pow x 4)))) (pow x 2))
(/.f64 (+.f64 (.f64 (cbrt.f64 x) #s(literal -10/243 binary64)) (.f64 #s(literal 5/81 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))) (*.f64 x x))
(/ (+ (* -10/243 (cbrt x)) (* x (+ (* -1/9 (cbrt (pow x 4))) (* 5/81 (cbrt x))))) (pow x 2))
(/.f64 (+.f64 (.f64 (cbrt.f64 x) #s(literal -10/243 binary64)) (.f64 x (+.f64 (.f64 #s(literal -1/9 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (.f64 (cbrt.f64 x) #s(literal 5/81 binary64))))) (*.f64 x x))
(/ (+ (* -10/243 (cbrt x)) (* x (+ (* 5/81 (cbrt x)) (* x (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))))))) (pow x 2))
(/.f64 (+.f64 (.f64 (cbrt.f64 x) #s(literal -10/243 binary64)) (.f64 x (+.f64 (.f64 (cbrt.f64 x) #s(literal 5/81 binary64)) (.f64 x (+.f64 (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))))))) (*.f64 x x))
(* 1/3 (cbrt (pow x 4)))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))
(* (pow x 2) (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))))
(.f64 (.f64 x x) (+.f64 (.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)))) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))
(* (pow x 2) (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))))
(.f64 (.f64 x x) (+.f64 (.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (+.f64 (.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)))) (.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64))))))))
(* (pow x 2) (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (+ (* -10/243 (cbrt (/ 1 (pow x 11)))) (+ (* 5/81 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 2))))))))
(.f64 (.f64 x x) (+.f64 (.f64 #s(literal -10/243 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 11 binary64))))) (+.f64 (.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (+.f64 (.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)))) (*.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64)))))))))
(* 1/3 (cbrt (pow x 4)))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))
(* (pow x 2) (+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2))))))
(.f64 (.f64 x x) (+.f64 (.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)))) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 1/9 binary64)))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1/9 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* -5/81 (cbrt (/ 1 (pow x 5))))) x)) (* 1/3 (cbrt (/ 1 (pow x 2))))))
(.f64 (.f64 x x) (-.f64 (.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)))) (/.f64 (+.f64 (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal -1/9 binary64))) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -5/81 binary64))) x)))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 5/81 (cbrt (/ 1 (pow x 2))))) x)) (* -1/9 (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))) x)) (* 1/3 (cbrt (/ 1 (pow x 2))))))
(.f64 (.f64 x x) (-.f64 (.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)))) (/.f64 (-.f64 (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal -1/9 binary64))) (/.f64 (+.f64 (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 5/81 binary64)) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 10/243 binary64)))) x)) x)))
(* -1/9 (cbrt x))
(*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))
(* -1/9 (cbrt x))
(*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))
(* -1/9 (cbrt x))
(*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))
(* -1/9 (cbrt x))
(*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))
(* -1/9 (cbrt x))
(*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))
(* -1/9 (cbrt x))
(*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))
(* -1/9 (cbrt x))
(*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))
(* -1/9 (cbrt x))
(*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))
(* 1/9 (* (cbrt x) (cbrt -1)))
(.f64 (cbrt.f64 x) (.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 1/9 binary64)))
(* 1/9 (* (cbrt x) (cbrt -1)))
(.f64 (cbrt.f64 x) (.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 1/9 binary64)))
(* 1/9 (* (cbrt x) (cbrt -1)))
(.f64 (cbrt.f64 x) (.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 1/9 binary64)))
(* 1/9 (* (cbrt x) (cbrt -1)))
(.f64 (cbrt.f64 x) (.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 1/9 binary64)))
(cbrt (pow x 2))
(cbrt.f64 (*.f64 x x))
(cbrt (pow x 2))
(cbrt.f64 (*.f64 x x))
(cbrt (pow x 2))
(cbrt.f64 (*.f64 x x))
(cbrt (pow x 2))
(cbrt.f64 (*.f64 x x))
(cbrt (pow x 2))
(cbrt.f64 (*.f64 x x))
(cbrt (pow x 2))
(cbrt.f64 (*.f64 x x))
(cbrt (pow x 2))
(cbrt.f64 (*.f64 x x))
(cbrt (pow x 2))
(cbrt.f64 (*.f64 x x))
(* -1 (* (cbrt (pow x 2)) (cbrt -1)))
(.f64 (cbrt.f64 (.f64 x x)) (*.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))
(* -1 (* (cbrt (pow x 2)) (cbrt -1)))
(.f64 (cbrt.f64 (.f64 x x)) (*.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))
(* -1 (* (cbrt (pow x 2)) (cbrt -1)))
(.f64 (cbrt.f64 (.f64 x x)) (*.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))
(* -1 (* (cbrt (pow x 2)) (cbrt -1)))
(.f64 (cbrt.f64 (.f64 x x)) (*.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))
(- 1 (cbrt x))
(-.f64 #s(literal 1 binary64) (cbrt.f64 x))
(- (+ 1 (* 1/3 x)) (cbrt x))
(+.f64 (*.f64 #s(literal 1/3 binary64) x) (-.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))
(+.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/9 binary64)))) (-.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))
(+.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (+.f64 #s(literal -1/9 binary64) (*.f64 x #s(literal 5/81 binary64)))))) (-.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))
(/.f64 (+.f64 (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))) (*.f64 x x))
(/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2))
(/.f64 (+.f64 (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (+.f64 (.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 5/81 binary64)))) (*.f64 x x))
(/ (+ (* -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))
(/.f64 (+.f64 (+.f64 (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (+.f64 (.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 5/81 binary64)))) (.f64 #s(literal -10/243 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) (.f64 x x))
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))
(.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(/.f64 (+.f64 (/.f64 (.f64 (cbrt.f64 x) #s(literal 1/9 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 x x))
(/ (+ (* -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))
(/.f64 (-.f64 (.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 (+.f64 (.f64 #s(literal -1/9 binary64) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 10 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (/.f64 (.f64 #s(literal -5/81 binary64) (cbrt.f64 (pow.f64 x #s(literal 7 binary64)))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64)))) (.f64 x (.f64 x x)))) (.f64 x x))
(/ (+ (* -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))
(/.f64 (-.f64 (.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 (-.f64 (.f64 #s(literal -1/9 binary64) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 10 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (/.f64 (+.f64 (/.f64 (.f64 #s(literal 10/243 binary64) (cbrt.f64 (pow.f64 x #s(literal 13 binary64)))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 11 binary64))) (.f64 #s(literal 5/81 binary64) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 16 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64))))) (.f64 x (.f64 x x)))) (.f64 x (.f64 x x)))) (*.f64 x x))
(cbrt (pow x 4))
(cbrt.f64 (pow.f64 x #s(literal 4 binary64)))
(cbrt (pow x 4))
(cbrt.f64 (pow.f64 x #s(literal 4 binary64)))
(cbrt (pow x 4))
(cbrt.f64 (pow.f64 x #s(literal 4 binary64)))
(cbrt (pow x 4))
(cbrt.f64 (pow.f64 x #s(literal 4 binary64)))
(cbrt (pow x 4))
(cbrt.f64 (pow.f64 x #s(literal 4 binary64)))
(cbrt (pow x 4))
(cbrt.f64 (pow.f64 x #s(literal 4 binary64)))
(cbrt (pow x 4))
(cbrt.f64 (pow.f64 x #s(literal 4 binary64)))
(cbrt (pow x 4))
(cbrt.f64 (pow.f64 x #s(literal 4 binary64)))
(cbrt (pow x 4))
(cbrt.f64 (pow.f64 x #s(literal 4 binary64)))
(cbrt (pow x 4))
(cbrt.f64 (pow.f64 x #s(literal 4 binary64)))
(cbrt (pow x 4))
(cbrt.f64 (pow.f64 x #s(literal 4 binary64)))
(cbrt (pow x 4))
(cbrt.f64 (pow.f64 x #s(literal 4 binary64)))
(cbrt (/ 1 (pow x 5)))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))
(cbrt (/ 1 (pow x 5)))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))
(cbrt (/ 1 (pow x 5)))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))
(cbrt (/ 1 (pow x 5)))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))
(cbrt (/ 1 (pow x 5)))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))
(cbrt (/ 1 (pow x 5)))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))
(cbrt (/ 1 (pow x 5)))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))
(cbrt (/ 1 (pow x 5)))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))
(* -1 (* (cbrt (/ 1 (pow x 5))) (cbrt -1)))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (neg.f64 (cbrt.f64 #s(literal -1 binary64))))
(* -1 (* (cbrt (/ 1 (pow x 5))) (cbrt -1)))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (neg.f64 (cbrt.f64 #s(literal -1 binary64))))
(* -1 (* (cbrt (/ 1 (pow x 5))) (cbrt -1)))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (neg.f64 (cbrt.f64 #s(literal -1 binary64))))
(* -1 (* (cbrt (/ 1 (pow x 5))) (cbrt -1)))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (neg.f64 (cbrt.f64 #s(literal -1 binary64))))

eval228.0ms (2.2%)

Compiler: Compiled 38437 to 4325 computations (88.7% saved)

prune170.0ms (1.6%)

Pruning

37 alts after pruning (34 fresh and 3 done)

	Pruned	Kept	Total
New	1394	30	1424
Fresh	16	4	20
Picked	3	2	5
Done	0	1	1
Total	1413	37	1450

Accuracy

99.4%

Counts

1450 → 37

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	9.6%	(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (-.f64 (pow.f64 x #s(literal 2/3 binary64)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) (-.f64 #s(literal 0 binary64) (cbrt.f64 x))))))
	9.6%	(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2/3 binary64))) (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)))))
	29.8%	(/.f64 (+.f64 (+.f64 (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))) (.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))) (*.f64 x x))
	29.4%	(/.f64 (+.f64 (.f64 (cbrt.f64 x) #s(literal -10/243 binary64)) (.f64 x (+.f64 (.f64 (cbrt.f64 x) #s(literal 5/81 binary64)) (.f64 x (+.f64 (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))))))) (pow.f64 x #s(literal 4 binary64)))
	50.2%	(/.f64 (+.f64 (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 (cbrt.f64 x) x)) (+.f64 (.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)))) (.f64 #s(literal -10/243 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))) (*.f64 x x))
	29.9%	(/.f64 (+.f64 (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (+.f64 (.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)))) (*.f64 #s(literal -10/243 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))) (/.f64 x (/.f64 #s(literal 1 binary64) x)))
	29.9%	(/.f64 (+.f64 (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (+.f64 (.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)))) (*.f64 #s(literal -10/243 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
	29.8%	(/.f64 (+.f64 (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (+.f64 (.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)))) (.f64 #s(literal -10/243 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))) (.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 1/2 binary64))))
	29.9%	(/.f64 (+.f64 (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (+.f64 (.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)))) (.f64 #s(literal -10/243 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))) (.f64 (/.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x))))
	29.4%	(/.f64 (+.f64 (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))) (*.f64 x x))
	28.2%	(/.f64 (.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (.f64 x x))
	88.4%	(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))
	7.5%	(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/2 binary64)))
▶	6.0%	(-.f64 (exp.f64 (*.f64 #s(literal 1/3 binary64) (log1p.f64 x))) (cbrt.f64 x))
	8.7%	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64)))
✓	7.6%	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
✓	1.8%	(-.f64 #s(literal 1 binary64) (cbrt.f64 x))
	50.9%	(+.f64 (.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)))) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))
	51.2%	(+.f64 (.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (+.f64 (.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)))) (.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64)))))))
▶	88.4%	(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))
	46.5%	(.f64 #s(literal 1/3 binary64) (pow.f64 (.f64 x x) #s(literal -1/3 binary64)))
▶	95.8%	(*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))
	95.8%	(*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x)))
▶	95.9%	(*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (neg.f64 x))))
	88.4%	(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))))
	49.7%	(.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (cbrt.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 x x))))))
	95.8%	(.f64 #s(literal 1/3 binary64) (.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))))
	88.5%	(.f64 #s(literal 1/3 binary64) (exp.f64 (neg.f64 (.f64 #s(literal 2/3 binary64) (log.f64 x)))))
	50.7%	(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -6 binary64))))
	51.1%	(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
	49.7%	(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))))
	49.7%	(.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x))))))
✓	49.7%	(.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))
	51.1%	(.f64 #s(literal 1/3 binary64) (cbrt.f64 (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 1/2 binary64))))))
	51.1%	(.f64 #s(literal 1/3 binary64) (cbrt.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))))
	48.4%	(.f64 #s(literal 1/3 binary64) (cbrt.f64 (exp.f64 (.f64 (log.f64 x) #s(literal -2 binary64)))))
	9.6%	(exp.f64 (neg.f64 (log.f64 (/.f64 (+.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2/3 binary64))) (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)))) (-.f64 (+.f64 #s(literal 1 binary64) x) x)))))

Compiler

Compiled 1224 to 877 computations (28.3% saved)

simplify162.0ms (1.6%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (-.f64 (pow.f64 x #s(literal 2/3 binary64)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) (-.f64 #s(literal 0 binary64) (cbrt.f64 x))))))
✓	cost-diff	64	(pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64))
✓	cost-diff	128	(-.f64 (pow.f64 x #s(literal 2/3 binary64)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) (-.f64 #s(literal 0 binary64) (cbrt.f64 x))))
✓	cost-diff	256	(-.f64 (+.f64 #s(literal 1 binary64) x) x)
✓	cost-diff	0	(log1p.f64 x)
✓	cost-diff	0	(*.f64 #s(literal 1/3 binary64) (log1p.f64 x))
✓	cost-diff	0	(-.f64 (exp.f64 (*.f64 #s(literal 1/3 binary64) (log1p.f64 x))) (cbrt.f64 x))
✓	cost-diff	6400	(exp.f64 (*.f64 #s(literal 1/3 binary64) (log1p.f64 x)))
✓	cost-diff	0	(cbrt.f64 x)
✓	cost-diff	0	(pow.f64 (cbrt.f64 x) #s(literal -2 binary64))
✓	cost-diff	0	(*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))
✓	cost-diff	0	(pow.f64 x #s(literal -2/3 binary64))
✓	cost-diff	0	(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))
✓	cost-diff	0	(cbrt.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)))
✓	cost-diff	0	(/.f64 (cbrt.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (neg.f64 x)))
✓	cost-diff	0	(*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (neg.f64 x))))
✓	cost-diff	64	(neg.f64 (/.f64 #s(literal 1 binary64) x))

Rules

1662×	`sum3-define`
1466×	`fnmadd-define`
1358×	`--lowering--.f32`
1358×	`--lowering--.f64`
1178×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	30064771168
1	74	30064771165
2	145	30064771165
3	311	30064771165
4	651	30064771165
5	1804	30064771165
6	2769	30064771165
7	3381	30064771165
8	4094	30064771165
9	6731	30064771165
0	8132	159

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* 1/3 (/ (cbrt (neg (/ 1 x))) (cbrt (neg x))))
1/3
(/ (cbrt (neg (/ 1 x))) (cbrt (neg x)))
(cbrt (neg (/ 1 x)))
(neg (/ 1 x))
(/ 1 x)
1
x
(cbrt (neg x))
(neg x)
(* (pow x -2/3) 1/3)
(pow x -2/3)
x
-2/3
1/3
(* 1/3 (pow (cbrt x) -2))
1/3
(pow (cbrt x) -2)
(cbrt x)
x
-2
(- (exp (* 1/3 (log (+ 1 x)))) (cbrt x))
(exp (* 1/3 (log (+ 1 x))))
(* 1/3 (log (+ 1 x)))
1/3
(log (+ 1 x))
x
(cbrt x)
(/ (- (+ 1 x) x) (+ (pow (+ 1 x) 2/3) (- (pow x 2/3) (* (pow (+ 1 x) 1/3) (- 0 (cbrt x))))))
(- (+ 1 x) x)
(+ 1 x)
1
x
(+ (pow (+ 1 x) 2/3) (- (pow x 2/3) (* (pow (+ 1 x) 1/3) (- 0 (cbrt x)))))
(pow (+ 1 x) 2/3)
2/3
(- (pow x 2/3) (* (pow (+ 1 x) 1/3) (- 0 (cbrt x))))
(pow x 2/3)
(* (pow (+ 1 x) 1/3) (- 0 (cbrt x)))
(pow (+ 1 x) 1/3)
1/3
(- 0 (cbrt x))
0
(cbrt x)

Outputs
(* 1/3 (/ (cbrt (neg (/ 1 x))) (cbrt (neg x))))
(*.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 (-.f64 #s(literal 0 binary64) x))))
1/3
#s(literal 1/3 binary64)
(/ (cbrt (neg (/ 1 x))) (cbrt (neg x)))
(/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (-.f64 #s(literal 0 binary64) x)))
(cbrt (neg (/ 1 x)))
(cbrt.f64 (/.f64 #s(literal -1 binary64) x))
(neg (/ 1 x))
(/.f64 #s(literal -1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
(cbrt (neg x))
(cbrt.f64 (-.f64 #s(literal 0 binary64) x))
(neg x)
(-.f64 #s(literal 0 binary64) x)
(* (pow x -2/3) 1/3)
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64)))
(pow x -2/3)
(pow.f64 x #s(literal -2/3 binary64))
x
-2/3
#s(literal -2/3 binary64)
1/3
#s(literal 1/3 binary64)
(* 1/3 (pow (cbrt x) -2))
(*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))
1/3
#s(literal 1/3 binary64)
(pow (cbrt x) -2)
(pow.f64 (cbrt.f64 x) #s(literal -2 binary64))
(cbrt x)
(cbrt.f64 x)
x
-2
#s(literal -2 binary64)
(- (exp (* 1/3 (log (+ 1 x)))) (cbrt x))
(-.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) (cbrt.f64 x))
(exp (* 1/3 (log (+ 1 x))))
(cbrt.f64 (+.f64 #s(literal 1 binary64) x))
(* 1/3 (log (+ 1 x)))
(*.f64 #s(literal 1/3 binary64) (log1p.f64 x))
1/3
#s(literal 1/3 binary64)
(log (+ 1 x))
(log1p.f64 x)
x
(cbrt x)
(cbrt.f64 x)
(/ (- (+ 1 x) x) (+ (pow (+ 1 x) 2/3) (- (pow x 2/3) (* (pow (+ 1 x) 1/3) (- 0 (cbrt x))))))
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2/3 binary64)))))
(- (+ 1 x) x)
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
(+ (pow (+ 1 x) 2/3) (- (pow x 2/3) (* (pow (+ 1 x) 1/3) (- 0 (cbrt x)))))
(+.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2/3 binary64))))
(pow (+ 1 x) 2/3)
(pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64))
2/3
#s(literal 2/3 binary64)
(- (pow x 2/3) (* (pow (+ 1 x) 1/3) (- 0 (cbrt x))))
(+.f64 (pow.f64 x #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 #s(literal 1 binary64) x))))
(pow x 2/3)
(pow.f64 x #s(literal 2/3 binary64))
(* (pow (+ 1 x) 1/3) (- 0 (cbrt x)))
(*.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 0 binary64) (cbrt.f64 x)))
(pow (+ 1 x) 1/3)
(cbrt.f64 (+.f64 #s(literal 1 binary64) x))
1/3
#s(literal 1/3 binary64)
(- 0 (cbrt x))
(-.f64 #s(literal 0 binary64) (cbrt.f64 x))
0
#s(literal 0 binary64)
(cbrt x)
(cbrt.f64 x)

localize1.3s (12%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64))
✓	accuracy	100.0%	(pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64))
✓	accuracy	100.0%	(cbrt.f64 x)
✓	accuracy	100.0%	(pow.f64 x #s(literal 2/3 binary64))
✓	accuracy	100.0%	(exp.f64 (*.f64 #s(literal 1/3 binary64) (log1p.f64 x)))
✓	accuracy	100.0%	(*.f64 #s(literal 1/3 binary64) (log1p.f64 x))
✓	accuracy	100.0%	(cbrt.f64 x)
✓	accuracy	99.9%	(-.f64 (exp.f64 (*.f64 #s(literal 1/3 binary64) (log1p.f64 x))) (cbrt.f64 x))
✓	accuracy	100.0%	(*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))
✓	accuracy	100.0%	(cbrt.f64 x)
✓	accuracy	100.0%	(pow.f64 (cbrt.f64 x) #s(literal -2 binary64))
✓	accuracy	100.0%	(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))
✓	accuracy	100.0%	(pow.f64 x #s(literal -2/3 binary64))
✓	accuracy	100.0%	(/.f64 (cbrt.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (neg.f64 x)))
✓	accuracy	100.0%	(cbrt.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)))
✓	accuracy	100.0%	(*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (neg.f64 x))))
✓	accuracy	100.0%	(cbrt.f64 (neg.f64 x))

Results

1.2s	252×	5	exit
2.0ms	4×	0	valid

Compiler

Compiled 193 to 34 computations (82.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 816.0ms

ival-exp: 249.0ms (30.5% of total)

backward-pass: 149.0ms (18.3% of total)

ival-pow: 109.0ms (13.4% of total)

...c/correct-round.rkt:119:19: 78.0ms (9.6% of total)

ival-mult: 65.0ms (8% of total)

ival-cbrt: 60.0ms (7.3% of total)

compiled-spec: 27.0ms (3.3% of total)

ival-sub: 27.0ms (3.3% of total)

ival-div: 24.0ms (2.9% of total)

ival-add: 14.0ms (1.7% of total)

ival-neg: 7.0ms (0.9% of total)

ival-log: 6.0ms (0.7% of total)

const: 2.0ms (0.2% of total)

series32.0ms (0.3%)

Counts

20 → 240

Calls

Call 1

Inputs
#<alt (neg (/ 1 x))>
#<alt (* 1/3 (/ (cbrt (neg (/ 1 x))) (cbrt (neg x))))>
#<alt (/ (cbrt (neg (/ 1 x))) (cbrt (neg x)))>
#<alt (cbrt (neg (/ 1 x)))>
#<alt (* (pow x -2/3) 1/3)>
#<alt (pow x -2/3)>
#<alt (* 1/3 (pow (cbrt x) -2))>
#<alt (pow (cbrt x) -2)>
#<alt (cbrt x)>
#<alt (exp (* 1/3 (log (+ 1 x))))>
#<alt (- (exp (* 1/3 (log (+ 1 x)))) (cbrt x))>
#<alt (* 1/3 (log (+ 1 x)))>
#<alt (log (+ 1 x))>
#<alt (- (+ 1 x) x)>
#<alt (- (pow x 2/3) (* (pow (+ 1 x) 1/3) (- 0 (cbrt x))))>
#<alt (pow (+ 1 x) 1/3)>
#<alt (/ (- (+ 1 x) x) (+ (pow (+ 1 x) 2/3) (- (pow x 2/3) (* (pow (+ 1 x) 1/3) (- 0 (cbrt x))))))>
#<alt (cbrt (neg x))>
#<alt (pow x 2/3)>
#<alt (pow (+ 1 x) 2/3)>

Outputs
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
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#<alt (* (cbrt (/ 1 x)) (cbrt -1))>
#<alt (* (cbrt (/ 1 x)) (cbrt -1))>
#<alt (* (cbrt (/ 1 x)) (cbrt -1))>
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#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
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#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
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#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))>
#<alt (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))>
#<alt (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))>
#<alt (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
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#<alt (cbrt (/ 1 (pow x 2)))>
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#<alt (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))>
#<alt (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (* -1 (* (cbrt x) (cbrt -1)))>
#<alt (* -1 (* (cbrt x) (cbrt -1)))>
#<alt (* -1 (* (cbrt x) (cbrt -1)))>
#<alt (* -1 (* (cbrt x) (cbrt -1)))>
#<alt 1>
#<alt (+ 1 (* 1/3 x))>
#<alt (+ 1 (* x (+ 1/3 (* -1/9 x))))>
#<alt (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9)))))>
#<alt (cbrt x)>
#<alt (* x (+ (cbrt (/ 1 (pow x 2))) (* 1/3 (cbrt (/ 1 (pow x 5))))))>
#<alt (* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))))>
#<alt (* 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))))))))>
#<alt (* -1 (* (cbrt x) (cbrt -1)))>
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#<alt (* -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)))))>
#<alt (* -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)))))>
#<alt (- 1 (cbrt x))>
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#<alt (- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))>
#<alt (- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))>
#<alt (/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2))>
#<alt (/ (+ (* -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))>
#<alt (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))>
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#<alt (/ (+ (* -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))>
#<alt (/ (+ (* -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))>
#<alt (* 1/3 x)>
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#<alt x>
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#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
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#<alt (* -1 (* x (- (* (cbrt (/ 1 x)) (cbrt -1)) (* -1 (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))))))))>
#<alt (* -1 (* x (- (* (cbrt (/ 1 x)) (cbrt -1)) (* -1 (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))))))))>
#<alt (* -1 (* x (- (* (cbrt (/ 1 x)) (cbrt -1)) (* -1 (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))))))))>
#<alt 1>
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#<alt (cbrt x)>
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#<alt (* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))))>
#<alt (* 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))))))))>
#<alt (* -1 (* (cbrt x) (cbrt -1)))>
#<alt (* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))>
#<alt (* -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)))))>
#<alt (* -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)))))>
#<alt (/ 1 (- (+ 1 (cbrt (pow x 2))) (* -1 (cbrt (+ x (pow x 2))))))>
#<alt (+ (* -2/3 (/ x (pow (- (+ 1 (cbrt (pow x 2))) (* -1 (cbrt (+ x (pow x 2))))) 2))) (/ 1 (- (+ 1 (cbrt (pow x 2))) (* -1 (cbrt (+ x (pow x 2)))))))>
#<alt (+ (* x (- (* x (+ (* 1/9 (/ 1 (pow (- (+ 1 (cbrt (pow x 2))) (* -1 (cbrt (+ x (pow x 2))))) 2))) (* 4/9 (/ 1 (pow (- (+ 1 (cbrt (pow x 2))) (* -1 (cbrt (+ x (pow x 2))))) 3))))) (* 2/3 (/ 1 (pow (- (+ 1 (cbrt (pow x 2))) (* -1 (cbrt (+ x (pow x 2))))) 2))))) (/ 1 (- (+ 1 (cbrt (pow x 2))) (* -1 (cbrt (+ x (pow x 2)))))))>
#<alt (+ (* x (- (* x (+ (* -1 (* x (+ (* 4/81 (/ 1 (pow (- (+ 1 (cbrt (pow x 2))) (* -1 (cbrt (+ x (pow x 2))))) 2))) (+ (* 2/27 (/ 1 (pow (- (+ 1 (cbrt (pow x 2))) (* -1 (cbrt (+ x (pow x 2))))) 3))) (* 2/3 (/ (+ (* 1/9 (/ 1 (pow (- (+ 1 (cbrt (pow x 2))) (* -1 (cbrt (+ x (pow x 2))))) 2))) (* 4/9 (/ 1 (pow (- (+ 1 (cbrt (pow x 2))) (* -1 (cbrt (+ x (pow x 2))))) 3)))) (- (+ 1 (cbrt (pow x 2))) (* -1 (cbrt (+ x (pow x 2))))))))))) (+ (* 1/9 (/ 1 (pow (- (+ 1 (cbrt (pow x 2))) (* -1 (cbrt (+ x (pow x 2))))) 2))) (* 4/9 (/ 1 (pow (- (+ 1 (cbrt (pow x 2))) (* -1 (cbrt (+ x (pow x 2))))) 3)))))) (* 2/3 (/ 1 (pow (- (+ 1 (cbrt (pow x 2))) (* -1 (cbrt (+ x (pow x 2))))) 2))))) (/ 1 (- (+ 1 (cbrt (pow x 2))) (* -1 (cbrt (+ x (pow x 2)))))))>
#<alt (/ 1 (* x (- (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))) (* -1 (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))))))>
#<alt (/ (+ (* -1/3 (* (/ 1 (* (pow x 3) (pow (- (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))) (* -1 (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))))) 2))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (/ 1 (- (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))) (* -1 (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))))))) x)>
#<alt (/ (- (+ (* -1 (/ (+ (* -1/9 (* (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 4))) (/ 1 (pow (- (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))) (* -1 (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))))) 3)))) (* -1/9 (* (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))) (/ 1 (pow (- (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))) (* -1 (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))))) 2))))) (pow x 6))) (/ 1 (- (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))) (* -1 (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))))))) (* 1/3 (* (/ 1 (* (pow x 3) (pow (- (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))) (* -1 (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))))) 2))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2)))))) x)>
#<alt (/ (- (+ (* -1 (/ (+ (* -1/3 (* (/ (+ (* -1/9 (* (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 4))) (/ 1 (pow (- (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))) (* -1 (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))))) 3)))) (* -1/9 (* (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))) (/ 1 (pow (- (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))) (* -1 (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))))) 2))))) (- (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))) (* -1 (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (+ (* 1/27 (* (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 7))) (/ 1 (pow (- (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))) (* -1 (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))))) 3)))) (* 5/81 (* (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 8))) (/ 1 (pow (- (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))) (* -1 (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))))) 2)))))) (pow x 9))) (/ 1 (- (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))) (* -1 (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))))))) (+ (* -1/9 (* (/ 1 (* (pow x 6) (pow (- (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))) (* -1 (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))))) 2))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (+ (* -1/9 (* (/ 1 (* (pow x 6) (pow (- (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))) (* -1 (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))))) 3))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 4))))) (* 1/3 (* (/ 1 (* (pow x 3) (pow (- (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))) (* -1 (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))))) 2))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2)))))))) x)>
#<alt (/ -1 (* x (- (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (cbrt -1))) (* -1 (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))))))))>
#<alt (* -1 (/ (+ (* 1/3 (* (/ 1 (* (pow x 3) (pow (- (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (cbrt -1))) (* -1 (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))))) 2))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (/ 1 (- (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (cbrt -1))) (* -1 (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))))))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (- (+ (* -1/9 (* (/ 1 (* (pow x 3) (pow (- (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (cbrt -1))) (* -1 (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))))) 3))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 4))))) (* -1/9 (* (/ (cbrt -1) (* (pow x 3) (pow (- (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (cbrt -1))) (* -1 (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))))) 2))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5)))))) (* 1/3 (* (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))) (/ 1 (pow (- (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (cbrt -1))) (* -1 (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))))) 2))))) (pow x 3))) (/ 1 (- (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (cbrt -1))) (* -1 (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))))))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/3 (* (/ (+ (* -1/9 (* (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 4))) (/ 1 (pow (- (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (cbrt -1))) (* -1 (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))))) 3)))) (* -1/9 (* (/ (cbrt -1) (pow (- (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (cbrt -1))) (* -1 (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))))) 2)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5)))))) (* (pow x 3) (- (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (cbrt -1))) (* -1 (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))))))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (+ (* 1/27 (* (/ (cbrt -1) (* (pow x 3) (pow (- (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (cbrt -1))) (* -1 (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))))) 3))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 7))))) (* 5/81 (* (/ 1 (* (pow x 3) (pow (- (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (cbrt -1))) (* -1 (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))))) 2))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 8))))))) (+ (* -1/9 (* (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 4))) (/ 1 (pow (- (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (cbrt -1))) (* -1 (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))))) 3)))) (* -1/9 (* (/ (cbrt -1) (pow (- (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (cbrt -1))) (* -1 (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))))) 2)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))))) (pow x 3))) (* 1/3 (* (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))) (/ 1 (pow (- (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (cbrt -1))) (* -1 (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))))) 2))))) (pow x 3))) (/ 1 (- (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (cbrt -1))) (* -1 (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))))))) x))>
#<alt (* (cbrt x) (cbrt -1))>
#<alt (* (cbrt x) (cbrt -1))>
#<alt (* (cbrt x) (cbrt -1))>
#<alt (* (cbrt x) (cbrt -1))>
#<alt (* (cbrt x) (cbrt -1))>
#<alt (* (cbrt x) (cbrt -1))>
#<alt (* (cbrt x) (cbrt -1))>
#<alt (* (cbrt x) (cbrt -1))>
#<alt (* -1 (cbrt x))>
#<alt (* -1 (cbrt x))>
#<alt (* -1 (cbrt x))>
#<alt (* -1 (cbrt x))>
#<alt (cbrt (pow x 2))>
#<alt (cbrt (pow x 2))>
#<alt (cbrt (pow x 2))>
#<alt (cbrt (pow x 2))>
#<alt (cbrt (pow x 2))>
#<alt (cbrt (pow x 2))>
#<alt (cbrt (pow x 2))>
#<alt (cbrt (pow x 2))>
#<alt (* -1 (* (cbrt (pow x 2)) (cbrt -1)))>
#<alt (* -1 (* (cbrt (pow x 2)) (cbrt -1)))>
#<alt (* -1 (* (cbrt (pow x 2)) (cbrt -1)))>
#<alt (* -1 (* (cbrt (pow x 2)) (cbrt -1)))>
#<alt 1>
#<alt (+ 1 (* 2/3 x))>
#<alt (+ 1 (* x (+ 2/3 (* -1/9 x))))>
#<alt (+ 1 (* x (+ 2/3 (* x (- (* 4/81 x) 1/9)))))>
#<alt (* x (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))))>
#<alt (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2)))))))>
#<alt (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (* -1/9 (* (/ 1 (pow x 6)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))))))>
#<alt (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (* -1/9 (* (/ 1 (pow x 6)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (+ (* 5/81 (* (/ 1 (pow x 9)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 8))))) (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2)))))))))>
#<alt (* -1 (* (* x (cbrt -1)) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))))>
#<alt (* -1 (* x (+ (* -1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (/ (cbrt -1) (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (* 1/3 (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (pow x 3))) (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt -1) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (* -5/81 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 8)))))) (pow x 3))) (* 1/3 (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (pow x 3))) (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))))))>

Calls

60 calls:

Time	Variable		Point	Expression
5.0ms	x	@	-inf	(* 1/3 (pow (cbrt x) -2))
4.0ms	x	@	-inf	(/ (- (+ 1 x) x) (+ (pow (+ 1 x) 2/3) (- (pow x 2/3) (* (pow (+ 1 x) 1/3) (- 0 (cbrt x))))))
4.0ms	x	@	inf	(/ (- (+ 1 x) x) (+ (pow (+ 1 x) 2/3) (- (pow x 2/3) (* (pow (+ 1 x) 1/3) (- 0 (cbrt x))))))
2.0ms	x	@	-inf	(- (pow x 2/3) (* (pow (+ 1 x) 1/3) (- 0 (cbrt x))))
2.0ms	x	@	0	(- (pow x 2/3) (* (pow (+ 1 x) 1/3) (- 0 (cbrt x))))

rewrite359.0ms (3.5%)

Algorithm

1×	batch-egg-rewrite

Rules

3536×	`-lowering-.f32`
3536×	`-lowering-.f64`
3078×	`/-lowering-/.f32`
3078×	`/-lowering-/.f64`
1978×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	116
1	200	106
2	1501	84
0	9160	81

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 1020

Calls

Call 1

Inputs
(neg (/ 1 x))
(* 1/3 (/ (cbrt (neg (/ 1 x))) (cbrt (neg x))))
(/ (cbrt (neg (/ 1 x))) (cbrt (neg x)))
(cbrt (neg (/ 1 x)))
(* (pow x -2/3) 1/3)
(pow x -2/3)
(* 1/3 (pow (cbrt x) -2))
(pow (cbrt x) -2)
(cbrt x)
(exp (* 1/3 (log (+ 1 x))))
(- (exp (* 1/3 (log (+ 1 x)))) (cbrt x))
(* 1/3 (log (+ 1 x)))
(log (+ 1 x))
(- (+ 1 x) x)
(- (pow x 2/3) (* (pow (+ 1 x) 1/3) (- 0 (cbrt x))))
(pow (+ 1 x) 1/3)
(/ (- (+ 1 x) x) (+ (pow (+ 1 x) 2/3) (- (pow x 2/3) (* (pow (+ 1 x) 1/3) (- 0 (cbrt x))))))
(cbrt (neg x))
(pow x 2/3)
(pow (+ 1 x) 2/3)

Outputs
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x))
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x))))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x))))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x))))
(neg.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x))))
(/.f64 #s(literal -1 binary64) x)
(/.f64 #s(literal -1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (+.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (neg.f64 (+.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x))))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x)))))
(pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 2/3 binary64))))
(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 2/3 binary64)))))
(/.f64 #s(literal -1/3 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2/3 binary64))))
(/.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1/3 binary64))) (cbrt.f64 x))
(/.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1/3 binary64)))) (-.f64 #s(literal 0 binary64) (cbrt.f64 x)))
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/3 binary64)))) (-.f64 #s(literal 0 binary64) (cbrt.f64 x)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/3 binary64))) #s(literal 1/3 binary64)) (-.f64 #s(literal 0 binary64) (cbrt.f64 x)))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1/3 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (cbrt.f64 x))))
(/.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/3 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (cbrt.f64 x))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/3 binary64))) #s(literal 1/3 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) (cbrt.f64 x))))
(pow.f64 (*.f64 (/.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 2/3 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64)))
(.f64 (pow.f64 x #s(literal -1/3 binary64)) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1/3 binary64))))
(.f64 #s(literal -1/3 binary64) (.f64 (/.f64 #s(literal -1 binary64) (cbrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal -2/3 binary64))))
(.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1/3 binary64))) (pow.f64 x #s(literal -1/3 binary64)))
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))
(*.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal -2/3 binary64)))
(*.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/6 binary64))) (/.f64 (pow.f64 x #s(literal -1/3 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/6 binary64))))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/3 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/6 binary64))))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/3 binary64)) (cbrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/3 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2/3 binary64) (log.f64 x)) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x x)) #s(literal -1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal -1/3 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 x)))
(exp.f64 (.f64 #s(literal -2 binary64) (.f64 #s(literal 1/3 binary64) (log.f64 x))))
(exp.f64 (.f64 (.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 x)) #s(literal 3 binary64)) #s(literal -1/3 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal -1/3 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 x)) #s(literal -1 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 1/3 binary64)) (.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 1/3 binary64))))
(exp.f64 (+.f64 (.f64 (log.f64 x) #s(literal -1/3 binary64)) (.f64 (log.f64 x) #s(literal -1/3 binary64))))
(exp.f64 (+.f64 (.f64 (log.f64 x) #s(literal -1/3 binary64)) (.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 x)) #s(literal -1 binary64))))
(exp.f64 (+.f64 (.f64 (.f64 #s(literal 1/3 binary64) (log.f64 x)) #s(literal -1 binary64)) (*.f64 (log.f64 x) #s(literal -1/3 binary64))))
(exp.f64 (+.f64 (.f64 (.f64 #s(literal 1/3 binary64) (log.f64 x)) #s(literal -1 binary64)) (.f64 (.f64 #s(literal 1/3 binary64) (log.f64 x)) #s(literal -1 binary64))))
(exp.f64 (neg.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 x))))
(exp.f64 (-.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 1/3 binary64)) (.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 1/3 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (cbrt.f64 x)) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -2/3 binary64))))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(neg.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -2/3 binary64))))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (cbrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal -2/3 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2/3 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/3 binary64))) (-.f64 #s(literal 0 binary64) (cbrt.f64 x)))
(/.f64 (pow.f64 x #s(literal -1/3 binary64)) (cbrt.f64 x))
(/.f64 (pow.f64 x #s(literal -1/3 binary64)) (cbrt.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x))))
(/.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) x)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/3 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (cbrt.f64 x))))
(/.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (cbrt.f64 x))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/3 binary64))))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (cbrt.f64 x)))))
(pow.f64 x #s(literal -2/3 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 2/3 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -2/3 binary64))
(pow.f64 (cbrt.f64 x) #s(literal -2 binary64))
(pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 x x) #s(literal -1/3 binary64))
(pow.f64 (pow.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal -2 binary64)) (*.f64 #s(literal 1/3 binary64) (log.f64 x)))
(pow.f64 (exp.f64 #s(literal -2/3 binary64)) (log.f64 x))
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(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (cbrt.f64 x))))
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(*.f64 (cbrt.f64 x) (/.f64 (cbrt.f64 x) (cbrt.f64 x)))
(*.f64 (pow.f64 x #s(literal -1/3 binary64)) (/.f64 x (cbrt.f64 x)))
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 x))
(*.f64 (pow.f64 x #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/6 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (cbrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x #s(literal 2/3 binary64))))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 2/3 binary64))) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 1/2 binary64))))
(*.f64 (/.f64 x (cbrt.f64 x)) (pow.f64 x #s(literal -1/3 binary64)))
(*.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 x)) (cbrt.f64 x))
(*.f64 (/.f64 (pow.f64 x #s(literal 1/2 binary64)) (cbrt.f64 x)) (/.f64 (pow.f64 x #s(literal 1/2 binary64)) (cbrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 x) (pow.f64 x #s(literal 1/6 binary64))) (/.f64 (cbrt.f64 x) (pow.f64 x #s(literal 1/6 binary64))))
(+.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2/3 binary64)))
(exp.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 x)))
(exp.f64 (.f64 (log.f64 (.f64 x x)) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/3 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(exp.f64 (-.f64 (.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 1/3 binary64)) (.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 1/3 binary64))))
(-.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 0 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2/3 binary64))) (/.f64 (pow.f64 x #s(literal 4/3 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2/3 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/3 binary64)))) (/.f64 (cbrt.f64 x) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/3 binary64)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4/3 binary64)) (pow.f64 x #s(literal 2/3 binary64))) (/.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2/3 binary64))))
(cbrt.f64 (*.f64 x x))
(fma.f64 (cbrt.f64 x) (cbrt.f64 x) #s(literal 0 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2/3 binary64)))
(/.f64 (cbrt.f64 x) (pow.f64 x #s(literal -1/3 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 x #s(literal -2/3 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (cbrt.f64 x)) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/3 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (cbrt.f64 x))) (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/3 binary64)))))
(/.f64 (+.f64 #s(literal 0 binary64) (.f64 x x)) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 x #s(literal 4/3 binary64)) (.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2/3 binary64))))))
(/.f64 (+.f64 (.f64 x x) #s(literal 0 binary64)) (+.f64 (pow.f64 x #s(literal 4/3 binary64)) (-.f64 #s(literal 0 binary64) (.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 0 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4/3 binary64)) #s(literal 0 binary64)) (pow.f64 x #s(literal 2/3 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4/3 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2/3 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4/3 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2/3 binary64)))))
(/.f64 (neg.f64 (+.f64 #s(literal 0 binary64) (.f64 x x))) (neg.f64 (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 x #s(literal 4/3 binary64)) (.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2/3 binary64)))))))
(/.f64 (neg.f64 (+.f64 (.f64 x x) #s(literal 0 binary64))) (neg.f64 (+.f64 (pow.f64 x #s(literal 4/3 binary64)) (-.f64 #s(literal 0 binary64) (.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 0 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4/3 binary64)) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2/3 binary64))))
(pow.f64 x #s(literal 2/3 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 2/3 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/3 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) (cbrt.f64 x)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 2/3 binary64)) (log.f64 x))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/3 binary64))
(pow.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64)))
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
(*.f64 (pow.f64 x #s(literal 2/3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 2/3 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (cbrt.f64 x)) (-.f64 #s(literal 0 binary64) (cbrt.f64 x)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 x #s(literal 4/3 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 2/3 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2/3 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2/3 binary64)) (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 2/3 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 2/3 binary64)) (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 2/3 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 4/3 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 2/3 binary64))) (cbrt.f64 (pow.f64 x #s(literal 4/3 binary64))))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 4/3 binary64))) (cbrt.f64 (pow.f64 x #s(literal 2/3 binary64))))
(*.f64 (/.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 2/3 binary64)))
(*.f64 (/.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 2/3 binary64)))
(*.f64 (/.f64 (cbrt.f64 #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/6 binary64))) (/.f64 (cbrt.f64 x) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/6 binary64))))
(*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal -1/3 binary64))))
(*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/6 binary64)) (cbrt.f64 #s(literal -1 binary64))) (/.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal -1/3 binary64))))
(*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/6 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/6 binary64))) (/.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/6 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/6 binary64))))
(exp.f64 (*.f64 (log1p.f64 x) #s(literal 2/3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/3 binary64) (log1p.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 2/3 binary64))) (log1p.f64 x)))
(exp.f64 (.f64 #s(literal 1/3 binary64) (.f64 #s(literal 2 binary64) (log1p.f64 x))))
(exp.f64 (.f64 (.f64 (*.f64 (log1p.f64 x) #s(literal 2/3 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(cbrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))
(/.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) (log1p.f64 (.f64 x (.f64 x x)))) (pow.f64 (exp.f64 #s(literal 2/3 binary64)) (log1p.f64 (*.f64 x (-.f64 x #s(literal 1 binary64))))))
(/.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (pow.f64 (exp.f64 #s(literal 2/3 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (cbrt.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (cbrt.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 x #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 x #s(literal 1 binary64)))))))
(/.f64 (cbrt.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (-.f64 #s(literal 1 binary64) (.f64 x x)))) (cbrt.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) x))))
(/.f64 (cbrt.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (cbrt.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 x #s(literal 1 binary64)))))))
(/.f64 (cbrt.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 x x)))) (cbrt.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
(/.f64 (cbrt.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (cbrt.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 x #s(literal 1 binary64))))))
(/.f64 (cbrt.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x x)))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)))
(/.f64 (cbrt.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) x))) (cbrt.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 x #s(literal 1 binary64))))))
(/.f64 (cbrt.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) x))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)))
(pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
(pow.f64 (exp.f64 #s(literal 1/3 binary64)) (*.f64 #s(literal 2 binary64) (log1p.f64 x)))
(pow.f64 (exp.f64 #s(literal 1/3 binary64)) (*.f64 (log1p.f64 x) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 1/3 binary64)) (.f64 (.f64 (log1p.f64 x) #s(literal 3 binary64)) #s(literal 2/3 binary64)))
(pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) #s(literal 4 binary64))
(pow.f64 (exp.f64 #s(literal 2/3 binary64)) (log1p.f64 x))
(pow.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) #s(literal 1/6 binary64))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 4/3 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) #s(literal 2/3 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) #s(literal 2/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) #s(literal 2/3 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) #s(literal 2/3 binary64)))
(.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) #s(literal 2/3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 x #s(literal 1 binary64))))) #s(literal 2/3 binary64)))
(.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 2/3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 2/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 2/3 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 2/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 4/3 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64))) (cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 4/3 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 4/3 binary64))) (cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64))))

simplify317.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

4780×	`-lowering-.f32`
4780×	`-lowering-.f64`
2952×	`+-lowering-+.f64`
2952×	`+-lowering-+.f32`
1566×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	480	3994
1	1459	3423
2	4675	3382
0	8298	3382

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 240

Calls

Call 1

Inputs
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(* (cbrt (/ 1 x)) (cbrt -1))
(* (cbrt (/ 1 x)) (cbrt -1))
(* (cbrt (/ 1 x)) (cbrt -1))
(* (cbrt (/ 1 x)) (cbrt -1))
(* (cbrt (/ 1 x)) (cbrt -1))
(* (cbrt (/ 1 x)) (cbrt -1))
(* (cbrt (/ 1 x)) (cbrt -1))
(* (cbrt (/ 1 x)) (cbrt -1))
(* (cbrt (/ 1 x)) (cbrt -1))
(* (cbrt (/ 1 x)) (cbrt -1))
(* (cbrt (/ 1 x)) (cbrt -1))
(* (cbrt (/ 1 x)) (cbrt -1))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))
(* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))
(* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))
(* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(* -1 (* (cbrt x) (cbrt -1)))
(* -1 (* (cbrt x) (cbrt -1)))
(* -1 (* (cbrt x) (cbrt -1)))
(* -1 (* (cbrt x) (cbrt -1)))
1
(+ 1 (* 1/3 x))
(+ 1 (* x (+ 1/3 (* -1/9 x))))
(+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9)))))
(cbrt x)
(* x (+ (cbrt (/ 1 (pow x 2))) (* 1/3 (cbrt (/ 1 (pow x 5))))))
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))))
(* 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))))))))
(* -1 (* (cbrt x) (cbrt -1)))
(* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(* -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)))))
(* -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)))))
(- 1 (cbrt x))
(- (+ 1 (* 1/3 x)) (cbrt x))
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))
(/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2))
(/ (+ (* -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))
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))
(/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(/ (+ (* -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))
(/ (+ (* -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))
(* 1/3 x)
(* x (+ 1/3 (* -1/6 x)))
(* x (+ 1/3 (* x (- (* 1/9 x) 1/6))))
(* x (+ 1/3 (* x (- (* x (+ 1/9 (* -1/12 x))) 1/6))))
(* -1/3 (log (/ 1 x)))
(+ (* -1/3 (log (/ 1 x))) (* 1/3 (/ 1 x)))
(- (+ (* -1/3 (log (/ 1 x))) (* 1/3 (/ 1 x))) (/ 1/6 (pow x 2)))
(- (+ (* -1/3 (log (/ 1 x))) (+ (* 1/3 (/ 1 x)) (* 1/9 (/ 1 (pow x 3))))) (/ 1/6 (pow x 2)))
(* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))
(+ (* 1/3 (+ (log -1) (* -1 (log (/ -1 x))))) (* 1/3 (/ 1 x)))
(+ (* -1 (/ (- (* 1/6 (/ 1 x)) 1/3) x)) (* 1/3 (+ (log -1) (* -1 (log (/ -1 x))))))
(+ (* -1 (/ (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1/6) x)) 1/3) x)) (* 1/3 (+ (log -1) (* -1 (log (/ -1 x))))))
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ 1 x))
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
1
1
1
1
1
1
1
1
1
1
1
1
(- (cbrt (pow x 2)) (* -1 (cbrt (+ x (pow x 2)))))
(- (cbrt (pow x 2)) (* -1 (cbrt (+ x (pow x 2)))))
(- (cbrt (pow x 2)) (* -1 (cbrt (+ x (pow x 2)))))
(- (cbrt (pow x 2)) (* -1 (cbrt (+ x (pow x 2)))))
(* x (- (cbrt (/ 1 x)) (* -1 (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))))))
(* x (- (cbrt (/ 1 x)) (* -1 (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))))))
(* x (- (cbrt (/ 1 x)) (* -1 (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))))))
(* x (- (cbrt (/ 1 x)) (* -1 (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))))))
(* -1 (* x (- (* (cbrt (/ 1 x)) (cbrt -1)) (* -1 (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))))))))
(* -1 (* x (- (* (cbrt (/ 1 x)) (cbrt -1)) (* -1 (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))))))))
(* -1 (* x (- (* (cbrt (/ 1 x)) (cbrt -1)) (* -1 (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))))))))
(* -1 (* x (- (* (cbrt (/ 1 x)) (cbrt -1)) (* -1 (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))))))))
1
(+ 1 (* 1/3 x))
(+ 1 (* x (+ 1/3 (* -1/9 x))))
(+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9)))))
(cbrt x)
(* x (+ (cbrt (/ 1 (pow x 2))) (* 1/3 (cbrt (/ 1 (pow x 5))))))
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))))
(* 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))))))))
(* -1 (* (cbrt x) (cbrt -1)))
(* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(* -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)))))
(* -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)))))
(/ 1 (- (+ 1 (cbrt (pow x 2))) (* -1 (cbrt (+ x (pow x 2))))))
(+ (* -2/3 (/ x (pow (- (+ 1 (cbrt (pow x 2))) (* -1 (cbrt (+ x (pow x 2))))) 2))) (/ 1 (- (+ 1 (cbrt (pow x 2))) (* -1 (cbrt (+ x (pow x 2)))))))
(+ (* x (- (* x (+ (* 1/9 (/ 1 (pow (- (+ 1 (cbrt (pow x 2))) (* -1 (cbrt (+ x (pow x 2))))) 2))) (* 4/9 (/ 1 (pow (- (+ 1 (cbrt (pow x 2))) (* -1 (cbrt (+ x (pow x 2))))) 3))))) (* 2/3 (/ 1 (pow (- (+ 1 (cbrt (pow x 2))) (* -1 (cbrt (+ x (pow x 2))))) 2))))) (/ 1 (- (+ 1 (cbrt (pow x 2))) (* -1 (cbrt (+ x (pow x 2)))))))
(+ (* x (- (* x (+ (* -1 (* x (+ (* 4/81 (/ 1 (pow (- (+ 1 (cbrt (pow x 2))) (* -1 (cbrt (+ x (pow x 2))))) 2))) (+ (* 2/27 (/ 1 (pow (- (+ 1 (cbrt (pow x 2))) (* -1 (cbrt (+ x (pow x 2))))) 3))) (* 2/3 (/ (+ (* 1/9 (/ 1 (pow (- (+ 1 (cbrt (pow x 2))) (* -1 (cbrt (+ x (pow x 2))))) 2))) (* 4/9 (/ 1 (pow (- (+ 1 (cbrt (pow x 2))) (* -1 (cbrt (+ x (pow x 2))))) 3)))) (- (+ 1 (cbrt (pow x 2))) (* -1 (cbrt (+ x (pow x 2))))))))))) (+ (* 1/9 (/ 1 (pow (- (+ 1 (cbrt (pow x 2))) (* -1 (cbrt (+ x (pow x 2))))) 2))) (* 4/9 (/ 1 (pow (- (+ 1 (cbrt (pow x 2))) (* -1 (cbrt (+ x (pow x 2))))) 3)))))) (* 2/3 (/ 1 (pow (- (+ 1 (cbrt (pow x 2))) (* -1 (cbrt (+ x (pow x 2))))) 2))))) (/ 1 (- (+ 1 (cbrt (pow x 2))) (* -1 (cbrt (+ x (pow x 2)))))))
(/ 1 (* x (- (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))) (* -1 (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))))))
(/ (+ (* -1/3 (* (/ 1 (* (pow x 3) (pow (- (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))) (* -1 (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))))) 2))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (/ 1 (- (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))) (* -1 (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))))))) x)
(/ (- (+ (* -1 (/ (+ (* -1/9 (* (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 4))) (/ 1 (pow (- (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))) (* -1 (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))))) 3)))) (* -1/9 (* (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))) (/ 1 (pow (- (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))) (* -1 (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))))) 2))))) (pow x 6))) (/ 1 (- (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))) (* -1 (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))))))) (* 1/3 (* (/ 1 (* (pow x 3) (pow (- (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))) (* -1 (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))))) 2))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2)))))) x)
(/ (- (+ (* -1 (/ (+ (* -1/3 (* (/ (+ (* -1/9 (* (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 4))) (/ 1 (pow (- (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))) (* -1 (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))))) 3)))) (* -1/9 (* (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))) (/ 1 (pow (- (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))) (* -1 (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))))) 2))))) (- (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))) (* -1 (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (+ (* 1/27 (* (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 7))) (/ 1 (pow (- (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))) (* -1 (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))))) 3)))) (* 5/81 (* (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 8))) (/ 1 (pow (- (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))) (* -1 (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))))) 2)))))) (pow x 9))) (/ 1 (- (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))) (* -1 (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))))))) (+ (* -1/9 (* (/ 1 (* (pow x 6) (pow (- (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))) (* -1 (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))))) 2))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (+ (* -1/9 (* (/ 1 (* (pow x 6) (pow (- (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))) (* -1 (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))))) 3))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 4))))) (* 1/3 (* (/ 1 (* (pow x 3) (pow (- (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))) (* -1 (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))))) 2))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2)))))))) x)
(/ -1 (* x (- (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (cbrt -1))) (* -1 (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))))))))
(* -1 (/ (+ (* 1/3 (* (/ 1 (* (pow x 3) (pow (- (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (cbrt -1))) (* -1 (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))))) 2))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (/ 1 (- (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (cbrt -1))) (* -1 (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))))))) x))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1/9 (* (/ 1 (* (pow x 3) (pow (- (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (cbrt -1))) (* -1 (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))))) 3))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 4))))) (* -1/9 (* (/ (cbrt -1) (* (pow x 3) (pow (- (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (cbrt -1))) (* -1 (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))))) 2))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5)))))) (* 1/3 (* (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))) (/ 1 (pow (- (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (cbrt -1))) (* -1 (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))))) 2))))) (pow x 3))) (/ 1 (- (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (cbrt -1))) (* -1 (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))))))) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/3 (* (/ (+ (* -1/9 (* (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 4))) (/ 1 (pow (- (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (cbrt -1))) (* -1 (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))))) 3)))) (* -1/9 (* (/ (cbrt -1) (pow (- (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (cbrt -1))) (* -1 (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))))) 2)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5)))))) (* (pow x 3) (- (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (cbrt -1))) (* -1 (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))))))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (+ (* 1/27 (* (/ (cbrt -1) (* (pow x 3) (pow (- (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (cbrt -1))) (* -1 (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))))) 3))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 7))))) (* 5/81 (* (/ 1 (* (pow x 3) (pow (- (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (cbrt -1))) (* -1 (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))))) 2))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 8))))))) (+ (* -1/9 (* (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 4))) (/ 1 (pow (- (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (cbrt -1))) (* -1 (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))))) 3)))) (* -1/9 (* (/ (cbrt -1) (pow (- (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (cbrt -1))) (* -1 (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))))) 2)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))))) (pow x 3))) (* 1/3 (* (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))) (/ 1 (pow (- (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (cbrt -1))) (* -1 (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))))) 2))))) (pow x 3))) (/ 1 (- (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (cbrt -1))) (* -1 (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))))))) x))
(* (cbrt x) (cbrt -1))
(* (cbrt x) (cbrt -1))
(* (cbrt x) (cbrt -1))
(* (cbrt x) (cbrt -1))
(* (cbrt x) (cbrt -1))
(* (cbrt x) (cbrt -1))
(* (cbrt x) (cbrt -1))
(* (cbrt x) (cbrt -1))
(* -1 (cbrt x))
(* -1 (cbrt x))
(* -1 (cbrt x))
(* -1 (cbrt x))
(cbrt (pow x 2))
(cbrt (pow x 2))
(cbrt (pow x 2))
(cbrt (pow x 2))
(cbrt (pow x 2))
(cbrt (pow x 2))
(cbrt (pow x 2))
(cbrt (pow x 2))
(* -1 (* (cbrt (pow x 2)) (cbrt -1)))
(* -1 (* (cbrt (pow x 2)) (cbrt -1)))
(* -1 (* (cbrt (pow x 2)) (cbrt -1)))
(* -1 (* (cbrt (pow x 2)) (cbrt -1)))
1
(+ 1 (* 2/3 x))
(+ 1 (* x (+ 2/3 (* -1/9 x))))
(+ 1 (* x (+ 2/3 (* x (- (* 4/81 x) 1/9)))))
(* x (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))))
(* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2)))))))
(* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (* -1/9 (* (/ 1 (pow x 6)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))))))
(* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (* -1/9 (* (/ 1 (pow x 6)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (+ (* 5/81 (* (/ 1 (pow x 9)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 8))))) (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2)))))))))
(* -1 (* (* x (cbrt -1)) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))))
(* -1 (* x (+ (* -1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))))))
(* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (/ (cbrt -1) (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (* 1/3 (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (pow x 3))) (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))))))
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt -1) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (* -5/81 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 8)))))) (pow x 3))) (* 1/3 (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (pow x 3))) (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))))))

Outputs
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* 1/3 (cbrt (/ 1 (pow x 2))))
(.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))
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(.f64 (-.f64 (.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))))) (/.f64 (+.f64 (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 5 binary64)))) (/.f64 (.f64 #s(literal 1/9 binary64) (cbrt.f64 #s(literal -1 binary64))) (.f64 x (.f64 x x)))) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))))))) (.f64 x (.f64 x x)))) (-.f64 #s(literal 0 binary64) x))
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt -1) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (* -5/81 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 8)))))) (pow x 3))) (* 1/3 (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (pow x 3))) (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))))))
(-.f64 #s(literal 0 binary64) (.f64 x (-.f64 (.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))))) (/.f64 (-.f64 (.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))))))) (/.f64 (+.f64 (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 5 binary64)))) (.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal -1/9 binary64))) (.f64 #s(literal -5/81 binary64) (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 8 binary64)))) (.f64 x (.f64 x x))))) (.f64 x (.f64 x x)))) (.f64 x (.f64 x x))))))

eval186.0ms (1.8%)

Compiler: Compiled 37783 to 3570 computations (90.6% saved)

prune188.0ms (1.8%)

Pruning

47 alts after pruning (41 fresh and 6 done)

	Pruned	Kept	Total
New	1377	21	1398
Fresh	9	20	29
Picked	2	3	5
Done	0	3	3
Total	1388	47	1435

Accuracy

99.7%

Counts

1435 → 47

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.7%	(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) x))))))
▶	97.7%	(/.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 (.f64 (cbrt.f64 #s(literal -1 binary64)) (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))))) (.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) x))))))
	9.7%	(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (+.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)))))
	9.6%	(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2/3 binary64))) (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)))))
	49.1%	(/.f64 (+.f64 (/.f64 (.f64 #s(literal -1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))))))) (.f64 (.f64 x (.f64 x x)) (pow.f64 (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))))))) x)
	29.8%	(/.f64 (+.f64 (+.f64 (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))) (.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))) (*.f64 x x))
	29.4%	(/.f64 (+.f64 (.f64 (cbrt.f64 x) #s(literal -10/243 binary64)) (.f64 x (+.f64 (.f64 (cbrt.f64 x) #s(literal 5/81 binary64)) (.f64 x (+.f64 (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))))))) (pow.f64 x #s(literal 4 binary64)))
	50.2%	(/.f64 (+.f64 (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 (cbrt.f64 x) x)) (+.f64 (.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)))) (.f64 #s(literal -10/243 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))) (*.f64 x x))
	29.9%	(/.f64 (+.f64 (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (+.f64 (.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)))) (*.f64 #s(literal -10/243 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))) (/.f64 x (/.f64 #s(literal 1 binary64) x)))
	29.9%	(/.f64 (+.f64 (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (+.f64 (.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)))) (*.f64 #s(literal -10/243 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
	29.8%	(/.f64 (+.f64 (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (+.f64 (.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)))) (.f64 #s(literal -10/243 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))) (.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 1/2 binary64))))
	29.9%	(/.f64 (+.f64 (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (+.f64 (.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)))) (.f64 #s(literal -10/243 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))) (.f64 (/.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x))))
	29.4%	(/.f64 (+.f64 (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))) (*.f64 x x))
	28.2%	(/.f64 (.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (.f64 x x))
	48.9%	(/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (neg.f64 (pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))))))
	48.9%	(/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64))))
▶	88.4%	(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))
	6.8%	(-.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (cbrt.f64 x))
✓	6.0%	(-.f64 (exp.f64 (*.f64 #s(literal 1/3 binary64) (log1p.f64 x))) (cbrt.f64 x))
	8.7%	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64)))
✓	7.6%	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
✓	1.8%	(-.f64 #s(literal 1 binary64) (cbrt.f64 x))
▶	50.9%	(+.f64 (.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)))) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))
	46.5%	(.f64 (pow.f64 (.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/3 binary64))
	89.4%	(*.f64 (pow.f64 (exp.f64 #s(literal -2/3 binary64)) (log.f64 x)) #s(literal 1/3 binary64))
	88.0%	(.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (.f64 #s(literal 1/3 binary64) (log.f64 x))) #s(literal 1/3 binary64))
✓	88.4%	(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))
	88.4%	(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))) #s(literal 1/3 binary64))
	88.5%	(.f64 (exp.f64 (.f64 #s(literal -2/3 binary64) (log.f64 x))) #s(literal 1/3 binary64))
	49.3%	(.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 (cbrt.f64 (-.f64 #s(literal 0 binary64) (.f64 x x))) (cbrt.f64 (+.f64 #s(literal 0 binary64) x))) #s(literal -2 binary64)))
▶	87.0%	(*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 x (pow.f64 x #s(literal 2/3 binary64))) #s(literal -2 binary64)))
	95.1%	(.f64 #s(literal 1/3 binary64) (pow.f64 (.f64 (/.f64 (pow.f64 x #s(literal 1/2 binary64)) (cbrt.f64 x)) (/.f64 (pow.f64 x #s(literal 1/2 binary64)) (cbrt.f64 x))) #s(literal -2 binary64)))
▶	95.1%	(.f64 #s(literal 1/3 binary64) (pow.f64 (.f64 (cbrt.f64 (pow.f64 x #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
✓	95.8%	(*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))
	49.5%	(.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 (cbrt.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))) (cbrt.f64 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)))) (cbrt.f64 (neg.f64 x))))
	95.8%	(*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x)))
	49.5%	(.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)))) (cbrt.f64 (neg.f64 x))))
	95.9%	(*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))))
	36.0%	(.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 (cbrt.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))) (cbrt.f64 (+.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) (*.f64 #s(literal 0 binary64) x)))))))
	49.7%	(.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (cbrt.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 x x))))))
	95.8%	(.f64 #s(literal 1/3 binary64) (.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))))
	51.1%	(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
	49.7%	(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))))
	49.7%	(.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x))))))
✓	49.7%	(.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))
	51.1%	(.f64 #s(literal 1/3 binary64) (cbrt.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))))
	49.0%	(exp.f64 (.f64 (log.f64 (+.f64 (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (pow.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)))) #s(literal -1 binary64)))

Compiler

Compiled 1764 to 1135 computations (35.7% saved)

simplify24.0ms (0.2%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 (cbrt.f64 (pow.f64 x #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 1/2 binary64))))
✓	cost-diff	0	(pow.f64 (*.f64 (cbrt.f64 (pow.f64 x #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 1/2 binary64)))) #s(literal -2 binary64))
✓	cost-diff	0	(.f64 #s(literal 1/3 binary64) (pow.f64 (.f64 (cbrt.f64 (pow.f64 x #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
✓	cost-diff	64	(pow.f64 x #s(literal 1/2 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 x x))
✓	cost-diff	0	(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
✓	cost-diff	0	(.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))
✓	cost-diff	0	(+.f64 (.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)))) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))
✓	cost-diff	0	(pow.f64 x #s(literal 2/3 binary64))
✓	cost-diff	0	(/.f64 x (pow.f64 x #s(literal 2/3 binary64)))
✓	cost-diff	0	(pow.f64 (/.f64 x (pow.f64 x #s(literal 2/3 binary64))) #s(literal -2 binary64))
✓	cost-diff	0	(*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 x (pow.f64 x #s(literal 2/3 binary64))) #s(literal -2 binary64)))
✓	cost-diff	0	(pow.f64 x #s(literal 2/3 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))
✓	cost-diff	0	(.f64 (cbrt.f64 #s(literal -1 binary64)) (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))))))
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) x)
✓	cost-diff	0	(/.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 (.f64 (cbrt.f64 #s(literal -1 binary64)) (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))))) (.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) x))))))
✓	cost-diff	6528	(+.f64 (.f64 (cbrt.f64 #s(literal -1 binary64)) (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))))) (.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) x)))))

Rules

280×	`fma-define`
248×	`fma-lowering-fma.f32`
248×	`fma-lowering-fma.f64`
164×	`-lowering-.f32`
164×	`-lowering-.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	25769803994
1	77	25769803992
2	115	25769803992
3	181	25769803992
4	317	25769803992
5	476	25769803992
6	496	25769803992
0	496	254

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ (/ -1 x) (+ (* (cbrt -1) (+ (cbrt (/ 1 x)) (cbrt (+ (/ 1 x) (/ 2 (* x x)))))) (* (cbrt -1) (cbrt (+ (/ 1 (* x x)) (/ 1 x))))))
(/ -1 x)
-1
x
(+ (* (cbrt -1) (+ (cbrt (/ 1 x)) (cbrt (+ (/ 1 x) (/ 2 (* x x)))))) (* (cbrt -1) (cbrt (+ (/ 1 (* x x)) (/ 1 x)))))
(* (cbrt -1) (+ (cbrt (/ 1 x)) (cbrt (+ (/ 1 x) (/ 2 (* x x))))))
(cbrt -1)
(+ (cbrt (/ 1 x)) (cbrt (+ (/ 1 x) (/ 2 (* x x)))))
(cbrt (/ 1 x))
(/ 1 x)
1
(cbrt (+ (/ 1 x) (/ 2 (* x x))))
(+ (/ 1 x) (/ 2 (* x x)))
(/ 2 (* x x))
2
(* x x)
(* (cbrt -1) (cbrt (+ (/ 1 (* x x)) (/ 1 x))))
(cbrt (+ (/ 1 (* x x)) (/ 1 x)))
(+ (/ 1 (* x x)) (/ 1 x))
(/ 1 (* x x))
(/ 1/3 (pow x 2/3))
1/3
(pow x 2/3)
x
2/3
(* 1/3 (pow (/ x (pow x 2/3)) -2))
1/3
(pow (/ x (pow x 2/3)) -2)
(/ x (pow x 2/3))
x
(pow x 2/3)
2/3
-2
(+ (* 1/3 (cbrt (/ 1 (* x x)))) (* -1/9 (cbrt (/ 1 (pow x 5)))))
(* 1/3 (cbrt (/ 1 (* x x))))
1/3
(cbrt (/ 1 (* x x)))
(/ 1 (* x x))
1
(* x x)
x
(* -1/9 (cbrt (/ 1 (pow x 5))))
-1/9
(cbrt (/ 1 (pow x 5)))
(/ 1 (pow x 5))
(pow x 5)
5
(* 1/3 (pow (* (cbrt (pow x 1/2)) (cbrt (pow x 1/2))) -2))
1/3
(pow (* (cbrt (pow x 1/2)) (cbrt (pow x 1/2))) -2)
(* (cbrt (pow x 1/2)) (cbrt (pow x 1/2)))
(cbrt (pow x 1/2))
(pow x 1/2)
x
1/2
-2

Outputs
(/ (/ -1 x) (+ (* (cbrt -1) (+ (cbrt (/ 1 x)) (cbrt (+ (/ 1 x) (/ 2 (* x x)))))) (* (cbrt -1) (cbrt (+ (/ 1 (* x x)) (/ 1 x))))))
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (cbrt.f64 #s(literal -1 binary64))) x) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (.f64 x x)))))))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
-1
#s(literal -1 binary64)
x
(+ (* (cbrt -1) (+ (cbrt (/ 1 x)) (cbrt (+ (/ 1 x) (/ 2 (* x x)))))) (* (cbrt -1) (cbrt (+ (/ 1 (* x x)) (/ 1 x)))))
(.f64 (cbrt.f64 #s(literal -1 binary64)) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))))
(* (cbrt -1) (+ (cbrt (/ 1 x)) (cbrt (+ (/ 1 x) (/ 2 (* x x))))))
(.f64 (cbrt.f64 #s(literal -1 binary64)) (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))))))
(cbrt -1)
(cbrt.f64 #s(literal -1 binary64))
(+ (cbrt (/ 1 x)) (cbrt (+ (/ 1 x) (/ 2 (* x x)))))
(+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))))
(cbrt (/ 1 x))
(cbrt.f64 (/.f64 #s(literal 1 binary64) x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
(cbrt (+ (/ 1 x) (/ 2 (* x x))))
(cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
(+ (/ 1 x) (/ 2 (* x x)))
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(/ 2 (* x x))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
2
#s(literal 2 binary64)
(* x x)
(*.f64 x x)
(* (cbrt -1) (cbrt (+ (/ 1 (* x x)) (/ 1 x))))
(.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (.f64 x x)))))
(cbrt (+ (/ 1 (* x x)) (/ 1 x)))
(cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(+ (/ 1 (* x x)) (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/ 1 (* x x))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1/3 (pow x 2/3))
(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))
1/3
#s(literal 1/3 binary64)
(pow x 2/3)
(pow.f64 x #s(literal 2/3 binary64))
x
2/3
#s(literal 2/3 binary64)
(* 1/3 (pow (/ x (pow x 2/3)) -2))
(*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 x (pow.f64 x #s(literal 2/3 binary64))) #s(literal -2 binary64)))
1/3
#s(literal 1/3 binary64)
(pow (/ x (pow x 2/3)) -2)
(pow.f64 (/.f64 x (pow.f64 x #s(literal 2/3 binary64))) #s(literal -2 binary64))
(/ x (pow x 2/3))
(/.f64 x (pow.f64 x #s(literal 2/3 binary64)))
x
(pow x 2/3)
(pow.f64 x #s(literal 2/3 binary64))
2/3
#s(literal 2/3 binary64)
-2
#s(literal -2 binary64)
(+ (* 1/3 (cbrt (/ 1 (* x x)))) (* -1/9 (cbrt (/ 1 (pow x 5)))))
(+.f64 (.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)))) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))
(* 1/3 (cbrt (/ 1 (* x x))))
(.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))
1/3
#s(literal 1/3 binary64)
(cbrt (/ 1 (* x x)))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/ 1 (* x x))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
1
#s(literal 1 binary64)
(* x x)
(*.f64 x x)
x
(* -1/9 (cbrt (/ 1 (pow x 5))))
(*.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))
-1/9
#s(literal -1/9 binary64)
(cbrt (/ 1 (pow x 5)))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))
(/ 1 (pow x 5))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
5
#s(literal 5 binary64)
(* 1/3 (pow (* (cbrt (pow x 1/2)) (cbrt (pow x 1/2))) -2))
(.f64 #s(literal 1/3 binary64) (pow.f64 (.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x))) #s(literal -2 binary64)))
1/3
#s(literal 1/3 binary64)
(pow (* (cbrt (pow x 1/2)) (cbrt (pow x 1/2))) -2)
(pow.f64 (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x))) #s(literal -2 binary64))
(* (cbrt (pow x 1/2)) (cbrt (pow x 1/2)))
(*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(cbrt (pow x 1/2))
(cbrt.f64 (sqrt.f64 x))
(pow x 1/2)
(sqrt.f64 x)
x
1/2
#s(literal 1/2 binary64)
-2
#s(literal -2 binary64)

localize252.0ms (2.4%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.4%	(.f64 #s(literal 1/3 binary64) (pow.f64 (.f64 (cbrt.f64 (pow.f64 x #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
✓	accuracy	99.3%	(pow.f64 (*.f64 (cbrt.f64 (pow.f64 x #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 1/2 binary64)))) #s(literal -2 binary64))
✓	accuracy	99.2%	(*.f64 (cbrt.f64 (pow.f64 x #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 1/2 binary64))))
✓	accuracy	99.1%	(cbrt.f64 (pow.f64 x #s(literal 1/2 binary64)))
✓	accuracy	99.3%	(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))
✓	accuracy	98.8%	(/.f64 #s(literal 1 binary64) (*.f64 x x))
✓	accuracy	64.6%	(cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))
✓	accuracy	53.7%	(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
✓	accuracy	99.6%	(/.f64 x (pow.f64 x #s(literal 2/3 binary64)))
✓	accuracy	99.4%	(*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 x (pow.f64 x #s(literal 2/3 binary64))) #s(literal -2 binary64)))
✓	accuracy	99.3%	(pow.f64 (/.f64 x (pow.f64 x #s(literal 2/3 binary64))) #s(literal -2 binary64))
✓	accuracy	90.8%	(pow.f64 x #s(literal 2/3 binary64))
✓	accuracy	99.4%	(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))
✓	accuracy	90.8%	(pow.f64 x #s(literal 2/3 binary64))
✓	accuracy	99.0%	(cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))
✓	accuracy	98.9%	(cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
✓	accuracy	98.8%	(/.f64 #s(literal 1 binary64) (*.f64 x x))
✓	accuracy	98.8%	(/.f64 #s(literal 2 binary64) (*.f64 x x))

Results

185.0ms

256×

valid

Compiler

Compiled 332 to 44 computations (86.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 81.0ms

ival-pow: 21.0ms (25.8% of total)

ival-div: 15.0ms (18.4% of total)

ival-mult: 14.0ms (17.2% of total)

...c/correct-round.rkt:119:19: 11.0ms (13.5% of total)

ival-cbrt: 11.0ms (13.5% of total)

ival-add: 9.0ms (11.1% of total)

const: 1.0ms (1.2% of total)

backward-pass: 0.0ms (0% of total)

series80.0ms (0.8%)

Counts

23 → 276

Calls

Call 1

Inputs
#<alt (+ (* (cbrt -1) (+ (cbrt (/ 1 x)) (cbrt (+ (/ 1 x) (/ 2 (* x x)))))) (* (cbrt -1) (cbrt (+ (/ 1 (* x x)) (/ 1 x)))))>
#<alt (/ (/ -1 x) (+ (* (cbrt -1) (+ (cbrt (/ 1 x)) (cbrt (+ (/ 1 x) (/ 2 (* x x)))))) (* (cbrt -1) (cbrt (+ (/ 1 (* x x)) (/ 1 x))))))>
#<alt (/ -1 x)>
#<alt (* (cbrt -1) (+ (cbrt (/ 1 x)) (cbrt (+ (/ 1 x) (/ 2 (* x x))))))>
#<alt (/ 1/3 (pow x 2/3))>
#<alt (pow x 2/3)>
#<alt (* 1/3 (pow (/ x (pow x 2/3)) -2))>
#<alt (pow (/ x (pow x 2/3)) -2)>
#<alt (/ x (pow x 2/3))>
#<alt (+ (* 1/3 (cbrt (/ 1 (* x x)))) (* -1/9 (cbrt (/ 1 (pow x 5)))))>
#<alt (* 1/3 (cbrt (/ 1 (* x x))))>
#<alt (cbrt (/ 1 (* x x)))>
#<alt (/ 1 (* x x))>
#<alt (pow x 1/2)>
#<alt (* 1/3 (pow (* (cbrt (pow x 1/2)) (cbrt (pow x 1/2))) -2))>
#<alt (pow (* (cbrt (pow x 1/2)) (cbrt (pow x 1/2))) -2)>
#<alt (* (cbrt (pow x 1/2)) (cbrt (pow x 1/2)))>
#<alt (/ 2 (* x x))>
#<alt (cbrt (+ (/ 1 x) (/ 2 (* x x))))>
#<alt (cbrt (+ (/ 1 (* x x)) (/ 1 x)))>
#<alt (cbrt (/ 1 (pow x 5)))>
#<alt (/ 1 (pow x 5))>
#<alt (cbrt (pow x 1/2))>

Outputs
#<alt (/ (+ (* (cbrt -1) (cbrt (+ x (pow x 2)))) (* (cbrt -1) (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))))) x)>
#<alt (/ (+ (* (cbrt -1) (cbrt (+ x (pow x 2)))) (* (cbrt -1) (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))))) x)>
#<alt (/ (+ (* (cbrt -1) (cbrt (+ x (pow x 2)))) (* (cbrt -1) (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))))) x)>
#<alt (/ (+ (* (cbrt -1) (cbrt (+ x (pow x 2)))) (* (cbrt -1) (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))))) x)>
#<alt (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt -1) (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))))>
#<alt (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt -1) (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))))>
#<alt (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt -1) (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))))>
#<alt (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt -1) (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))))>
#<alt (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt -1) (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2)))))>
#<alt (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt -1) (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2)))))>
#<alt (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt -1) (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2)))))>
#<alt (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt -1) (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2)))))>
#<alt (/ -1 (+ (* (cbrt -1) (cbrt (+ x (pow x 2)))) (* (cbrt -1) (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))))))>
#<alt (/ -1 (+ (* (cbrt -1) (cbrt (+ x (pow x 2)))) (* (cbrt -1) (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))))))>
#<alt (/ -1 (+ (* (cbrt -1) (cbrt (+ x (pow x 2)))) (* (cbrt -1) (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))))))>
#<alt (/ -1 (+ (* (cbrt -1) (cbrt (+ x (pow x 2)))) (* (cbrt -1) (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))))))>
#<alt (/ -1 (* x (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt -1) (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))))))>
#<alt (/ -1 (* x (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt -1) (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))))))>
#<alt (/ -1 (* x (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt -1) (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))))))>
#<alt (/ -1 (* x (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt -1) (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))))))>
#<alt (/ -1 (* x (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt -1) (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2)))))))>
#<alt (/ -1 (* x (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt -1) (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2)))))))>
#<alt (/ -1 (* x (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt -1) (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2)))))))>
#<alt (/ -1 (* x (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt -1) (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2)))))))>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ (* (cbrt -1) (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2)))) x)>
#<alt (/ (* (cbrt -1) (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2)))) x)>
#<alt (/ (* (cbrt -1) (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2)))) x)>
#<alt (/ (* (cbrt -1) (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2)))) x)>
#<alt (* (cbrt -1) (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))))>
#<alt (* (cbrt -1) (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))))>
#<alt (* (cbrt -1) (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))))>
#<alt (* (cbrt -1) (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))))>
#<alt (* (cbrt -1) (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2))))>
#<alt (* (cbrt -1) (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2))))>
#<alt (* (cbrt -1) (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2))))>
#<alt (* (cbrt -1) (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (cbrt (pow x 2))>
#<alt (cbrt (pow x 2))>
#<alt (cbrt (pow x 2))>
#<alt (cbrt (pow x 2))>
#<alt (cbrt (pow x 2))>
#<alt (cbrt (pow x 2))>
#<alt (cbrt (pow x 2))>
#<alt (cbrt (pow x 2))>
#<alt (* -1 (* (cbrt (pow x 2)) (cbrt -1)))>
#<alt (* -1 (* (cbrt (pow x 2)) (cbrt -1)))>
#<alt (* -1 (* (cbrt (pow x 2)) (cbrt -1)))>
#<alt (* -1 (* (cbrt (pow x 2)) (cbrt -1)))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (* -1/9 (cbrt (/ 1 (pow x 5))))>
#<alt (/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))>
#<alt (/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))>
#<alt (/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))>
#<alt (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))>
#<alt (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2)))))>
#<alt (+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2)))))>
#<alt (+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2)))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (* (pow x 2) (pow (sqrt -1) 4)))))>
#<alt (* 1/3 (cbrt (/ 1 (* (pow x 2) (pow (sqrt -1) 4)))))>
#<alt (* 1/3 (cbrt (/ 1 (* (pow x 2) (pow (sqrt -1) 4)))))>
#<alt (* 1/3 (cbrt (/ 1 (* (pow x 2) (pow (sqrt -1) 4)))))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (* (pow x 2) (pow (sqrt -1) 4))))>
#<alt (cbrt (/ 1 (* (pow x 2) (pow (sqrt -1) 4))))>
#<alt (cbrt (/ 1 (* (pow x 2) (pow (sqrt -1) 4))))>
#<alt (cbrt (/ 1 (* (pow x 2) (pow (sqrt -1) 4))))>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (* -1 (cbrt (* x (pow (sqrt -1) 2))))>
#<alt (* -1 (cbrt (* x (pow (sqrt -1) 2))))>
#<alt (* -1 (cbrt (* x (pow (sqrt -1) 2))))>
#<alt (* -1 (cbrt (* x (pow (sqrt -1) 2))))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (* (/ 1 x) (cbrt (+ (* 2 x) (pow x 2))))>
#<alt (* (/ 1 x) (cbrt (+ (* 2 x) (pow x 2))))>
#<alt (* (/ 1 x) (cbrt (+ (* 2 x) (pow x 2))))>
#<alt (* (/ 1 x) (cbrt (+ (* 2 x) (pow x 2))))>
#<alt (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))>
#<alt (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))>
#<alt (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))>
#<alt (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))>
#<alt (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))>
#<alt (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))>
#<alt (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))>
#<alt (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))>
#<alt (* (/ 1 x) (cbrt (+ x (pow x 2))))>
#<alt (* (/ 1 x) (cbrt (+ x (pow x 2))))>
#<alt (* (/ 1 x) (cbrt (+ x (pow x 2))))>
#<alt (* (/ 1 x) (cbrt (+ x (pow x 2))))>
#<alt (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))>
#<alt (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))>
#<alt (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))>
#<alt (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))>
#<alt (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))>
#<alt (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))>
#<alt (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))>
#<alt (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))>
#<alt (cbrt (/ 1 (pow x 5)))>
#<alt (cbrt (/ 1 (pow x 5)))>
#<alt (cbrt (/ 1 (pow x 5)))>
#<alt (cbrt (/ 1 (pow x 5)))>
#<alt (cbrt (/ 1 (pow x 5)))>
#<alt (cbrt (/ 1 (pow x 5)))>
#<alt (cbrt (/ 1 (pow x 5)))>
#<alt (cbrt (/ 1 (pow x 5)))>
#<alt (* -1 (* (cbrt (/ 1 (pow x 5))) (cbrt -1)))>
#<alt (* -1 (* (cbrt (/ 1 (pow x 5))) (cbrt -1)))>
#<alt (* -1 (* (cbrt (/ 1 (pow x 5))) (cbrt -1)))>
#<alt (* -1 (* (cbrt (/ 1 (pow x 5))) (cbrt -1)))>
#<alt (/ 1 (pow x 5))>
#<alt (/ 1 (pow x 5))>
#<alt (/ 1 (pow x 5))>
#<alt (/ 1 (pow x 5))>
#<alt (/ 1 (pow x 5))>
#<alt (/ 1 (pow x 5))>
#<alt (/ 1 (pow x 5))>
#<alt (/ 1 (pow x 5))>
#<alt (/ 1 (pow x 5))>
#<alt (/ 1 (pow x 5))>
#<alt (/ 1 (pow x 5))>
#<alt (/ 1 (pow x 5))>
#<alt (pow (* 1 x) 1/6)>
#<alt (pow (* 1 x) 1/6)>
#<alt (pow (* 1 x) 1/6)>
#<alt (pow (* 1 x) 1/6)>
#<alt (pow (* 1 x) 1/6)>
#<alt (pow (* 1 x) 1/6)>
#<alt (pow (* 1 x) 1/6)>
#<alt (pow (* 1 x) 1/6)>
#<alt (* (pow (* -1 x) 1/6) (cbrt (sqrt -1)))>
#<alt (* (pow (* -1 x) 1/6) (cbrt (sqrt -1)))>
#<alt (* (pow (* -1 x) 1/6) (cbrt (sqrt -1)))>
#<alt (* (pow (* -1 x) 1/6) (cbrt (sqrt -1)))>

Calls

69 calls:

Time	Variable		Point	Expression
33.0ms	x	@	0	(cbrt (pow x 1/2))
9.0ms	x	@	0	(+ (* (cbrt -1) (+ (cbrt (/ 1 x)) (cbrt (+ (/ 1 x) (/ 2 (* x x)))))) (* (cbrt -1) (cbrt (+ (/ 1 (* x x)) (/ 1 x)))))
6.0ms	x	@	inf	(cbrt (pow x 1/2))
5.0ms	x	@	-inf	(* 1/3 (pow (* (cbrt (pow x 1/2)) (cbrt (pow x 1/2))) -2))
3.0ms	x	@	-inf	(+ (* (cbrt -1) (+ (cbrt (/ 1 x)) (cbrt (+ (/ 1 x) (/ 2 (* x x)))))) (* (cbrt -1) (cbrt (+ (/ 1 (* x x)) (/ 1 x)))))

rewrite278.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

2226×	`-lowering-.f32`
2226×	`-lowering-.f64`
2166×	`fma-lowering-fma.f32`
2166×	`fma-lowering-fma.f64`
1906×	`prod-diff`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	188
1	248	162
2	2234	145
0	8883	140

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 792

Calls

Call 1

Inputs
(+ (* (cbrt -1) (+ (cbrt (/ 1 x)) (cbrt (+ (/ 1 x) (/ 2 (* x x)))))) (* (cbrt -1) (cbrt (+ (/ 1 (* x x)) (/ 1 x)))))
(/ (/ -1 x) (+ (* (cbrt -1) (+ (cbrt (/ 1 x)) (cbrt (+ (/ 1 x) (/ 2 (* x x)))))) (* (cbrt -1) (cbrt (+ (/ 1 (* x x)) (/ 1 x))))))
(/ -1 x)
(* (cbrt -1) (+ (cbrt (/ 1 x)) (cbrt (+ (/ 1 x) (/ 2 (* x x))))))
(/ 1/3 (pow x 2/3))
(pow x 2/3)
(* 1/3 (pow (/ x (pow x 2/3)) -2))
(pow (/ x (pow x 2/3)) -2)
(/ x (pow x 2/3))
(+ (* 1/3 (cbrt (/ 1 (* x x)))) (* -1/9 (cbrt (/ 1 (pow x 5)))))
(* 1/3 (cbrt (/ 1 (* x x))))
(cbrt (/ 1 (* x x)))
(/ 1 (* x x))
(pow x 1/2)
(* 1/3 (pow (* (cbrt (pow x 1/2)) (cbrt (pow x 1/2))) -2))
(pow (* (cbrt (pow x 1/2)) (cbrt (pow x 1/2))) -2)
(* (cbrt (pow x 1/2)) (cbrt (pow x 1/2)))
(/ 2 (* x x))
(cbrt (+ (/ 1 x) (/ 2 (* x x))))
(cbrt (+ (/ 1 (* x x)) (/ 1 x)))
(cbrt (/ 1 (pow x 5)))
(/ 1 (pow x 5))
(cbrt (pow x 1/2))

Outputs
(+.f64 (pow.f64 x #s(literal -1/3 binary64)) (+.f64 (cbrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x))) (cbrt.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x))))
(+.f64 (+.f64 (pow.f64 x #s(literal -1/3 binary64)) (cbrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x)))) (cbrt.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x)))
(+.f64 (cbrt.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x)) (+.f64 (pow.f64 x #s(literal -1/3 binary64)) (cbrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x)))))
(+.f64 (+.f64 (cbrt.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x)) (pow.f64 x #s(literal -1/3 binary64))) (cbrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x))))
(-.f64 (/.f64 (.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal -1/3 binary64)) (cbrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x))) #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal -1/3 binary64)) (-.f64 (cbrt.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x))) (cbrt.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x))))) (/.f64 (pow.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal -1/3 binary64)) (-.f64 (cbrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x))) (cbrt.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x))))))
(fma.f64 (cbrt.f64 #s(literal -1 binary64)) (pow.f64 x #s(literal -1/3 binary64)) (+.f64 (cbrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x))) (cbrt.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x))))
(fma.f64 (cbrt.f64 #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal -1/3 binary64)) (cbrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x))) (cbrt.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x)))
(fma.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x)) (+.f64 (pow.f64 x #s(literal -1/3 binary64)) (cbrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x)))))
(fma.f64 (pow.f64 x #s(literal -1/3 binary64)) (cbrt.f64 #s(literal -1 binary64)) (+.f64 (cbrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x))) (cbrt.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x))))
(fma.f64 (+.f64 (pow.f64 x #s(literal -1/3 binary64)) (cbrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x))) (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x)))
(fma.f64 (cbrt.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x)) (cbrt.f64 #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal -1/3 binary64)) (cbrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal -1/3 binary64)) (cbrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x))) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x) #s(literal 2/3 binary64)) (.f64 (+.f64 (pow.f64 x #s(literal -1/3 binary64)) (cbrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x))) (cbrt.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x))))) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal -1/3 binary64)) (cbrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x))) #s(literal 3 binary64))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal -1/3 binary64)) (-.f64 (cbrt.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x))) (cbrt.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x)))) (-.f64 (.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal -1/3 binary64)) (cbrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x))) #s(literal 2 binary64))) (pow.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x) #s(literal 2/3 binary64)))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal -1/3 binary64)) (cbrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x))) #s(literal 2 binary64))) (pow.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x) #s(literal 2/3 binary64))) (+.f64 (pow.f64 x #s(literal -1/3 binary64)) (-.f64 (cbrt.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x))) (cbrt.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x)))))
(/.f64 (neg.f64 (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal -1/3 binary64)) (cbrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x))) #s(literal 3 binary64))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x))) (neg.f64 (+.f64 (.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal -1/3 binary64)) (cbrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x))) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x) #s(literal 2/3 binary64)) (*.f64 (+.f64 (pow.f64 x #s(literal -1/3 binary64)) (cbrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x))) (cbrt.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x)))))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal -1/3 binary64)) (cbrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x))) #s(literal 2 binary64))) (pow.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x) #s(literal 2/3 binary64)))) (neg.f64 (+.f64 (pow.f64 x #s(literal -1/3 binary64)) (-.f64 (cbrt.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x))) (cbrt.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x) #s(literal 2/3 binary64)) (.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal -1/3 binary64)) (cbrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x))) #s(literal 2 binary64)))) (-.f64 (cbrt.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x)) (+.f64 (pow.f64 x #s(literal -1/3 binary64)) (cbrt.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x))))))
(/.f64 (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal -1/3 binary64)) (cbrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x))) #s(literal 3 binary64))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x)) (+.f64 (.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal -1/3 binary64)) (cbrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x))) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x) #s(literal 2/3 binary64)) (*.f64 (+.f64 (pow.f64 x #s(literal -1/3 binary64)) (cbrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x))) (cbrt.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x))))))
(/.f64 (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal -1/3 binary64)) (cbrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x))) #s(literal 3 binary64))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x)) (+.f64 (pow.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x) #s(literal 2/3 binary64)) (-.f64 (.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal -1/3 binary64)) (cbrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x))) #s(literal 2 binary64))) (*.f64 (+.f64 (pow.f64 x #s(literal -1/3 binary64)) (cbrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x))) (cbrt.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x))))))
(pow.f64 (/.f64 (+.f64 (.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal -1/3 binary64)) (cbrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x))) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x) #s(literal 2/3 binary64)) (.f64 (+.f64 (pow.f64 x #s(literal -1/3 binary64)) (cbrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x))) (cbrt.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x))))) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal -1/3 binary64)) (cbrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x))) #s(literal 3 binary64))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x))) #s(literal -1 binary64))
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(*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x)))
(*.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x)))
(*.f64 (cbrt.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x)) (cbrt.f64 #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x) #s(literal 2/3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x)) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (+.f64 x (.f64 x x)) #s(literal 1/3 binary64)) (/.f64 #s(literal -1 binary64) x))
(.f64 (cbrt.f64 (+.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) x) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) x) (.f64 x (.f64 x x))))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x)) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) x))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x) #s(literal 1/6 binary64)) (pow.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x) #s(literal 2/3 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x) #s(literal 2/3 binary64)) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x) #s(literal 1/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x) #s(literal 1/2 binary64)) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal -5 binary64) (log.f64 x)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -5/3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 5 binary64) (log.f64 x)) #s(literal -1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 5/3 binary64))) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal -5 binary64)) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 #s(literal 5 binary64) (log.f64 x)) #s(literal -1 binary64)) #s(literal 1/3 binary64)))
(cbrt.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 x #s(literal 5/3 binary64))))
(/.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) x))))))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5/3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 5/3 binary64)) #s(literal 1 binary64)))
(pow.f64 x #s(literal -5/3 binary64))
(pow.f64 (*.f64 x x) #s(literal -5/6 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) x))) #s(literal -1/3 binary64))
(pow.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) x)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 x) #s(literal -10/3 binary64))
(pow.f64 (pow.f64 x #s(literal 5/3 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal -2/3 binary64))
(pow.f64 (/.f64 (pow.f64 x #s(literal 5/3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 x #s(literal -5/6 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) x)) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) x))) #s(literal 1/6 binary64))
(.f64 (cbrt.f64 #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) x))))) #s(literal 1/3 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -5/3 binary64)))
(*.f64 (pow.f64 x #s(literal -5/3 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal -5/3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal -1/3 binary64)))
(*.f64 (pow.f64 x #s(literal -5/3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal -5/3 binary64)))
(*.f64 (pow.f64 x #s(literal -5/6 binary64)) (pow.f64 x #s(literal -5/6 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -5/3 binary64)) (pow.f64 x #s(literal -5/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal -5/3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -5/3 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -5/3 binary64)) (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal -5/3 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal -5/3 binary64)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -5/3 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal -1/3 binary64)) (pow.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal -1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal -1/3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal 1 binary64)) #s(literal -1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x #s(literal 5/2 binary64))) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (pow.f64 x #s(literal 5/2 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 #s(literal -5 binary64) (log.f64 x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -5 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 5 binary64) (log.f64 x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal -5/3 binary64))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 #s(literal -5 binary64) (log.f64 x)) #s(literal 1/3 binary64)) #s(literal 3 binary64)))
(exp.f64 (+.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) #s(literal 3 binary64))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) x)))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) x))))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) x))))))
(/.f64 (pow.f64 x #s(literal -5/2 binary64)) (pow.f64 x #s(literal 5/2 binary64)))
(pow.f64 x #s(literal -5 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 5 binary64))
(pow.f64 (*.f64 x x) #s(literal -5/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) x))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) x)) #s(literal 1 binary64))
(pow.f64 (pow.f64 x #s(literal -5/3 binary64)) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 x) #s(literal -10 binary64))
(pow.f64 (pow.f64 x #s(literal 5/3 binary64)) #s(literal -3 binary64))
(pow.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal -2 binary64))
(pow.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) x))))) #s(literal -1 binary64))
(pow.f64 (.f64 (.f64 x x) (.f64 x (.f64 x x))) #s(literal -1 binary64))
(pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) x))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) x)))) #s(literal -1/2 binary64))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) x))))))
(.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) x)))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) x))
(.f64 (.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) x)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal -5/2 binary64)) (pow.f64 x #s(literal -5/2 binary64)))
(*.f64 (pow.f64 x #s(literal -5/2 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -10/3 binary64)) (pow.f64 x #s(literal -5/3 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -5 binary64)) (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal -5 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal -5 binary64)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -5 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal -5/6 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal -5/6 binary64)) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 x)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/6 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/6 binary64) (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 x)) #s(literal 1/3 binary64)) #s(literal 1 binary64)))
(cbrt.f64 (sqrt.f64 x))
(pow.f64 x #s(literal 1/6 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/12 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2/3 binary64))
(pow.f64 (pow.f64 x #s(literal 1/12 binary64)) #s(literal 2 binary64))
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (pow.f64 x #s(literal 1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 1/6 binary64)) (cbrt.f64 #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal 1/12 binary64)) (pow.f64 x #s(literal 1/12 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1/6 binary64)) (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 1/6 binary64)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)))

simplify255.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

2724×	`fma-define`
1916×	`-lowering-.f32`
1916×	`-lowering-.f64`
1852×	`fma-lowering-fma.f32`
1852×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	89	2248
1	203	1973
2	539	1941
3	1192	1921
4	2150	1921
5	3222	1909
6	4042	1909
7	5296	1909
0	8187	1909

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 276

Calls

Call 1

Inputs
(/ (+ (* (cbrt -1) (cbrt (+ x (pow x 2)))) (* (cbrt -1) (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))))) x)
(/ (+ (* (cbrt -1) (cbrt (+ x (pow x 2)))) (* (cbrt -1) (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))))) x)
(/ (+ (* (cbrt -1) (cbrt (+ x (pow x 2)))) (* (cbrt -1) (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))))) x)
(/ (+ (* (cbrt -1) (cbrt (+ x (pow x 2)))) (* (cbrt -1) (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))))) x)
(+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt -1) (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))))
(+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt -1) (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))))
(+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt -1) (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))))
(+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt -1) (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))))
(+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt -1) (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2)))))
(+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt -1) (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2)))))
(+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt -1) (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2)))))
(+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt -1) (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2)))))
(/ -1 (+ (* (cbrt -1) (cbrt (+ x (pow x 2)))) (* (cbrt -1) (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))))))
(/ -1 (+ (* (cbrt -1) (cbrt (+ x (pow x 2)))) (* (cbrt -1) (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))))))
(/ -1 (+ (* (cbrt -1) (cbrt (+ x (pow x 2)))) (* (cbrt -1) (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))))))
(/ -1 (+ (* (cbrt -1) (cbrt (+ x (pow x 2)))) (* (cbrt -1) (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))))))
(/ -1 (* x (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt -1) (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))))))
(/ -1 (* x (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt -1) (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))))))
(/ -1 (* x (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt -1) (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))))))
(/ -1 (* x (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt -1) (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))))))
(/ -1 (* x (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt -1) (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2)))))))
(/ -1 (* x (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt -1) (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2)))))))
(/ -1 (* x (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt -1) (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2)))))))
(/ -1 (* x (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt -1) (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2)))))))
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ (* (cbrt -1) (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2)))) x)
(/ (* (cbrt -1) (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2)))) x)
(/ (* (cbrt -1) (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2)))) x)
(/ (* (cbrt -1) (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2)))) x)
(* (cbrt -1) (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))))
(* (cbrt -1) (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))))
(* (cbrt -1) (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))))
(* (cbrt -1) (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))))
(* (cbrt -1) (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2))))
(* (cbrt -1) (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2))))
(* (cbrt -1) (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2))))
(* (cbrt -1) (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(cbrt (pow x 2))
(cbrt (pow x 2))
(cbrt (pow x 2))
(cbrt (pow x 2))
(cbrt (pow x 2))
(cbrt (pow x 2))
(cbrt (pow x 2))
(cbrt (pow x 2))
(* -1 (* (cbrt (pow x 2)) (cbrt -1)))
(* -1 (* (cbrt (pow x 2)) (cbrt -1)))
(* -1 (* (cbrt (pow x 2)) (cbrt -1)))
(* -1 (* (cbrt (pow x 2)) (cbrt -1)))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(* -1/9 (cbrt (/ 1 (pow x 5))))
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))
(+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))
(+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2)))))
(+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2)))))
(+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2)))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (* (pow x 2) (pow (sqrt -1) 4)))))
(* 1/3 (cbrt (/ 1 (* (pow x 2) (pow (sqrt -1) 4)))))
(* 1/3 (cbrt (/ 1 (* (pow x 2) (pow (sqrt -1) 4)))))
(* 1/3 (cbrt (/ 1 (* (pow x 2) (pow (sqrt -1) 4)))))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (* (pow x 2) (pow (sqrt -1) 4))))
(cbrt (/ 1 (* (pow x 2) (pow (sqrt -1) 4))))
(cbrt (/ 1 (* (pow x 2) (pow (sqrt -1) 4))))
(cbrt (/ 1 (* (pow x 2) (pow (sqrt -1) 4))))
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(* -1 (cbrt (* x (pow (sqrt -1) 2))))
(* -1 (cbrt (* x (pow (sqrt -1) 2))))
(* -1 (cbrt (* x (pow (sqrt -1) 2))))
(* -1 (cbrt (* x (pow (sqrt -1) 2))))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(* (/ 1 x) (cbrt (+ (* 2 x) (pow x 2))))
(* (/ 1 x) (cbrt (+ (* 2 x) (pow x 2))))
(* (/ 1 x) (cbrt (+ (* 2 x) (pow x 2))))
(* (/ 1 x) (cbrt (+ (* 2 x) (pow x 2))))
(cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))
(cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))
(cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))
(cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))
(cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))
(cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))
(cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))
(cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))
(* (/ 1 x) (cbrt (+ x (pow x 2))))
(* (/ 1 x) (cbrt (+ x (pow x 2))))
(* (/ 1 x) (cbrt (+ x (pow x 2))))
(* (/ 1 x) (cbrt (+ x (pow x 2))))
(cbrt (+ (/ 1 x) (/ 1 (pow x 2))))
(cbrt (+ (/ 1 x) (/ 1 (pow x 2))))
(cbrt (+ (/ 1 x) (/ 1 (pow x 2))))
(cbrt (+ (/ 1 x) (/ 1 (pow x 2))))
(cbrt (+ (/ 1 x) (/ 1 (pow x 2))))
(cbrt (+ (/ 1 x) (/ 1 (pow x 2))))
(cbrt (+ (/ 1 x) (/ 1 (pow x 2))))
(cbrt (+ (/ 1 x) (/ 1 (pow x 2))))
(cbrt (/ 1 (pow x 5)))
(cbrt (/ 1 (pow x 5)))
(cbrt (/ 1 (pow x 5)))
(cbrt (/ 1 (pow x 5)))
(cbrt (/ 1 (pow x 5)))
(cbrt (/ 1 (pow x 5)))
(cbrt (/ 1 (pow x 5)))
(cbrt (/ 1 (pow x 5)))
(* -1 (* (cbrt (/ 1 (pow x 5))) (cbrt -1)))
(* -1 (* (cbrt (/ 1 (pow x 5))) (cbrt -1)))
(* -1 (* (cbrt (/ 1 (pow x 5))) (cbrt -1)))
(* -1 (* (cbrt (/ 1 (pow x 5))) (cbrt -1)))
(/ 1 (pow x 5))
(/ 1 (pow x 5))
(/ 1 (pow x 5))
(/ 1 (pow x 5))
(/ 1 (pow x 5))
(/ 1 (pow x 5))
(/ 1 (pow x 5))
(/ 1 (pow x 5))
(/ 1 (pow x 5))
(/ 1 (pow x 5))
(/ 1 (pow x 5))
(/ 1 (pow x 5))
(pow (* 1 x) 1/6)
(pow (* 1 x) 1/6)
(pow (* 1 x) 1/6)
(pow (* 1 x) 1/6)
(pow (* 1 x) 1/6)
(pow (* 1 x) 1/6)
(pow (* 1 x) 1/6)
(pow (* 1 x) 1/6)
(* (pow (* -1 x) 1/6) (cbrt (sqrt -1)))
(* (pow (* -1 x) 1/6) (cbrt (sqrt -1)))
(* (pow (* -1 x) 1/6) (cbrt (sqrt -1)))
(* (pow (* -1 x) 1/6) (cbrt (sqrt -1)))

Outputs
(/ (+ (* (cbrt -1) (cbrt (+ x (pow x 2)))) (* (cbrt -1) (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))))) x)
(.f64 (+.f64 (cbrt.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (+.f64 (cbrt.f64 (.f64 x (+.f64 x #s(literal 2 binary64)))) (cbrt.f64 (.f64 x x)))) (/.f64 (cbrt.f64 #s(literal -1 binary64)) x))
(/ (+ (* (cbrt -1) (cbrt (+ x (pow x 2)))) (* (cbrt -1) (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))))) x)
(.f64 (+.f64 (cbrt.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (+.f64 (cbrt.f64 (.f64 x (+.f64 x #s(literal 2 binary64)))) (cbrt.f64 (.f64 x x)))) (/.f64 (cbrt.f64 #s(literal -1 binary64)) x))
(/ (+ (* (cbrt -1) (cbrt (+ x (pow x 2)))) (* (cbrt -1) (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))))) x)
(.f64 (+.f64 (cbrt.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (+.f64 (cbrt.f64 (.f64 x (+.f64 x #s(literal 2 binary64)))) (cbrt.f64 (.f64 x x)))) (/.f64 (cbrt.f64 #s(literal -1 binary64)) x))
(/ (+ (* (cbrt -1) (cbrt (+ x (pow x 2)))) (* (cbrt -1) (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))))) x)
(.f64 (+.f64 (cbrt.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (+.f64 (cbrt.f64 (.f64 x (+.f64 x #s(literal 2 binary64)))) (cbrt.f64 (.f64 x x)))) (/.f64 (cbrt.f64 #s(literal -1 binary64)) x))
(+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt -1) (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))))
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x)))))
(+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt -1) (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))))
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x)))))
(+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt -1) (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))))
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x)))))
(+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt -1) (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))))
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x)))))
(+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt -1) (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2)))))
(-.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) (+.f64 (cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))
(+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt -1) (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2)))))
(-.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) (+.f64 (cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))
(+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt -1) (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2)))))
(-.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) (+.f64 (cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))
(+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt -1) (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2)))))
(-.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) (+.f64 (cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/ -1 (+ (* (cbrt -1) (cbrt (+ x (pow x 2)))) (* (cbrt -1) (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))))))
(/.f64 (/.f64 #s(literal -1 binary64) (cbrt.f64 #s(literal -1 binary64))) (+.f64 (cbrt.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (+.f64 (cbrt.f64 (.f64 x (+.f64 x #s(literal 2 binary64)))) (cbrt.f64 (*.f64 x x)))))
(/ -1 (+ (* (cbrt -1) (cbrt (+ x (pow x 2)))) (* (cbrt -1) (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))))))
(/.f64 (/.f64 #s(literal -1 binary64) (cbrt.f64 #s(literal -1 binary64))) (+.f64 (cbrt.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (+.f64 (cbrt.f64 (.f64 x (+.f64 x #s(literal 2 binary64)))) (cbrt.f64 (*.f64 x x)))))
(/ -1 (+ (* (cbrt -1) (cbrt (+ x (pow x 2)))) (* (cbrt -1) (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))))))
(/.f64 (/.f64 #s(literal -1 binary64) (cbrt.f64 #s(literal -1 binary64))) (+.f64 (cbrt.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (+.f64 (cbrt.f64 (.f64 x (+.f64 x #s(literal 2 binary64)))) (cbrt.f64 (*.f64 x x)))))
(/ -1 (+ (* (cbrt -1) (cbrt (+ x (pow x 2)))) (* (cbrt -1) (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))))))
(/.f64 (/.f64 #s(literal -1 binary64) (cbrt.f64 #s(literal -1 binary64))) (+.f64 (cbrt.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (+.f64 (cbrt.f64 (.f64 x (+.f64 x #s(literal 2 binary64)))) (cbrt.f64 (*.f64 x x)))))
(/ -1 (* x (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt -1) (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))))))
(/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (cbrt.f64 #s(literal -1 binary64)) (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x))))))
(/ -1 (* x (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt -1) (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))))))
(/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (cbrt.f64 #s(literal -1 binary64)) (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x))))))
(/ -1 (* x (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt -1) (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))))))
(/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (cbrt.f64 #s(literal -1 binary64)) (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x))))))
(/ -1 (* x (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt -1) (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))))))
(/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (cbrt.f64 #s(literal -1 binary64)) (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x))))))
(/ -1 (* x (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt -1) (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2)))))))
(/.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) (+.f64 (cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))))
(/ -1 (* x (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt -1) (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2)))))))
(/.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) (+.f64 (cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))))
(/ -1 (* x (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt -1) (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2)))))))
(/.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) (+.f64 (cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))))
(/ -1 (* x (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt -1) (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2)))))))
(/.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) (+.f64 (cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
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(cbrt (/ 1 (pow x 2)))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(cbrt (/ 1 (pow x 2)))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(cbrt (/ 1 (pow x 2)))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(cbrt (/ 1 (pow x 2)))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(cbrt (/ 1 (pow x 2)))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(cbrt (/ 1 (pow x 2)))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(cbrt (/ 1 (* (pow x 2) (pow (sqrt -1) 4))))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(cbrt (/ 1 (* (pow x 2) (pow (sqrt -1) 4))))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(cbrt (/ 1 (* (pow x 2) (pow (sqrt -1) 4))))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(cbrt (/ 1 (* (pow x 2) (pow (sqrt -1) 4))))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(* -1 (cbrt (* x (pow (sqrt -1) 2))))
(-.f64 #s(literal 0 binary64) (cbrt.f64 (-.f64 #s(literal 0 binary64) x)))
(* -1 (cbrt (* x (pow (sqrt -1) 2))))
(-.f64 #s(literal 0 binary64) (cbrt.f64 (-.f64 #s(literal 0 binary64) x)))
(* -1 (cbrt (* x (pow (sqrt -1) 2))))
(-.f64 #s(literal 0 binary64) (cbrt.f64 (-.f64 #s(literal 0 binary64) x)))
(* -1 (cbrt (* x (pow (sqrt -1) 2))))
(-.f64 #s(literal 0 binary64) (cbrt.f64 (-.f64 #s(literal 0 binary64) x)))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(* (/ 1 x) (cbrt (+ (* 2 x) (pow x 2))))
(/.f64 (cbrt.f64 (*.f64 x (+.f64 x #s(literal 2 binary64)))) x)
(* (/ 1 x) (cbrt (+ (* 2 x) (pow x 2))))
(/.f64 (cbrt.f64 (*.f64 x (+.f64 x #s(literal 2 binary64)))) x)
(* (/ 1 x) (cbrt (+ (* 2 x) (pow x 2))))
(/.f64 (cbrt.f64 (*.f64 x (+.f64 x #s(literal 2 binary64)))) x)
(* (/ 1 x) (cbrt (+ (* 2 x) (pow x 2))))
(/.f64 (cbrt.f64 (*.f64 x (+.f64 x #s(literal 2 binary64)))) x)
(cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))
(cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x))
(cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))
(cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x))
(cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))
(cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x))
(cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))
(cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x))
(cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))
(cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x))
(cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))
(cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x))
(cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))
(cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x))
(cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))
(cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x))
(* (/ 1 x) (cbrt (+ x (pow x 2))))
(/.f64 (cbrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) x)
(* (/ 1 x) (cbrt (+ x (pow x 2))))
(/.f64 (cbrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) x)
(* (/ 1 x) (cbrt (+ x (pow x 2))))
(/.f64 (cbrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) x)
(* (/ 1 x) (cbrt (+ x (pow x 2))))
(/.f64 (cbrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) x)
(cbrt (+ (/ 1 x) (/ 1 (pow x 2))))
(cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))
(cbrt (+ (/ 1 x) (/ 1 (pow x 2))))
(cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))
(cbrt (+ (/ 1 x) (/ 1 (pow x 2))))
(cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))
(cbrt (+ (/ 1 x) (/ 1 (pow x 2))))
(cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))
(cbrt (+ (/ 1 x) (/ 1 (pow x 2))))
(cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))
(cbrt (+ (/ 1 x) (/ 1 (pow x 2))))
(cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))
(cbrt (+ (/ 1 x) (/ 1 (pow x 2))))
(cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))
(cbrt (+ (/ 1 x) (/ 1 (pow x 2))))
(cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))
(cbrt (/ 1 (pow x 5)))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))
(cbrt (/ 1 (pow x 5)))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))
(cbrt (/ 1 (pow x 5)))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))
(cbrt (/ 1 (pow x 5)))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))
(cbrt (/ 1 (pow x 5)))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))
(cbrt (/ 1 (pow x 5)))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))
(cbrt (/ 1 (pow x 5)))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))
(cbrt (/ 1 (pow x 5)))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))
(* -1 (* (cbrt (/ 1 (pow x 5))) (cbrt -1)))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (-.f64 #s(literal 0 binary64) (cbrt.f64 #s(literal -1 binary64))))
(* -1 (* (cbrt (/ 1 (pow x 5))) (cbrt -1)))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (-.f64 #s(literal 0 binary64) (cbrt.f64 #s(literal -1 binary64))))
(* -1 (* (cbrt (/ 1 (pow x 5))) (cbrt -1)))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (-.f64 #s(literal 0 binary64) (cbrt.f64 #s(literal -1 binary64))))
(* -1 (* (cbrt (/ 1 (pow x 5))) (cbrt -1)))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (-.f64 #s(literal 0 binary64) (cbrt.f64 #s(literal -1 binary64))))
(/ 1 (pow x 5))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))
(/ 1 (pow x 5))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))
(/ 1 (pow x 5))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))
(/ 1 (pow x 5))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))
(/ 1 (pow x 5))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))
(/ 1 (pow x 5))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))
(/ 1 (pow x 5))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))
(/ 1 (pow x 5))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))
(/ 1 (pow x 5))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))
(/ 1 (pow x 5))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))
(/ 1 (pow x 5))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))
(/ 1 (pow x 5))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))
(pow (* 1 x) 1/6)
(pow.f64 x #s(literal 1/6 binary64))
(pow (* 1 x) 1/6)
(pow.f64 x #s(literal 1/6 binary64))
(pow (* 1 x) 1/6)
(pow.f64 x #s(literal 1/6 binary64))
(pow (* 1 x) 1/6)
(pow.f64 x #s(literal 1/6 binary64))
(pow (* 1 x) 1/6)
(pow.f64 x #s(literal 1/6 binary64))
(pow (* 1 x) 1/6)
(pow.f64 x #s(literal 1/6 binary64))
(pow (* 1 x) 1/6)
(pow.f64 x #s(literal 1/6 binary64))
(pow (* 1 x) 1/6)
(pow.f64 x #s(literal 1/6 binary64))
(* (pow (* -1 x) 1/6) (cbrt (sqrt -1)))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/6 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))))
(* (pow (* -1 x) 1/6) (cbrt (sqrt -1)))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/6 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))))
(* (pow (* -1 x) 1/6) (cbrt (sqrt -1)))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/6 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))))
(* (pow (* -1 x) 1/6) (cbrt (sqrt -1)))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/6 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))))

eval199.0ms (1.9%)

Compiler: Compiled 25321 to 2610 computations (89.7% saved)

prune235.0ms (2.3%)

Pruning

40 alts after pruning (32 fresh and 8 done)

	Pruned	Kept	Total
New	1216	16	1232
Fresh	20	16	36
Picked	3	2	5
Done	0	6	6
Total	1239	40	1279

Accuracy

99.9%

Counts

1279 → 40

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.7%	(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) x))))))
	95.8%	(/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x))
	51.0%	(/.f64 (/.f64 #s(literal -1 binary64) (cbrt.f64 #s(literal -1 binary64))) (+.f64 (cbrt.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (+.f64 (cbrt.f64 (.f64 x (+.f64 x #s(literal 2 binary64)))) (cbrt.f64 (*.f64 x x)))))
	92.6%	(/.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 (.f64 (cbrt.f64 #s(literal -1 binary64)) (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (exp.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x))) #s(literal 1/3 binary64)))) (.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))))))
	51.1%	(/.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 (.f64 (cbrt.f64 #s(literal -1 binary64)) (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (cbrt.f64 (.f64 x (+.f64 x #s(literal 2 binary64)))) x))) (.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) x))))))
	9.7%	(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (+.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)))))
	9.6%	(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2/3 binary64))) (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)))))
	29.9%	(/.f64 (+.f64 (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (+.f64 (.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)))) (*.f64 #s(literal -10/243 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))) (/.f64 x (/.f64 #s(literal 1 binary64) x)))
	28.2%	(/.f64 (.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (.f64 x x))
	48.9%	(/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (neg.f64 (pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))))))
	48.9%	(/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64))))
	95.8%	(/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
✓	88.4%	(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))
	96.5%	(/.f64 #s(literal 1/3 binary64) (/.f64 x (cbrt.f64 x)))
	88.5%	(/.f64 #s(literal 1/3 binary64) (exp.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 x))))
	49.7%	(/.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 x x)))
	89.6%	(-.f64 (*.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal -5/3 binary64))) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2/3 binary64))))
✓	6.0%	(-.f64 (exp.f64 (*.f64 #s(literal 1/3 binary64) (log1p.f64 x))) (cbrt.f64 x))
	8.7%	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64)))
✓	7.6%	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
✓	1.8%	(-.f64 #s(literal 1 binary64) (cbrt.f64 x))
	89.6%	(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))
	97.7%	(+.f64 (.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 x) x)) (.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))
	50.8%	(+.f64 (.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)))) (*.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal -5/3 binary64))))
✓	88.4%	(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))
	49.3%	(.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 (cbrt.f64 (-.f64 #s(literal 0 binary64) (.f64 x x))) (cbrt.f64 (+.f64 #s(literal 0 binary64) x))) #s(literal -2 binary64)))
✓	87.0%	(*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 x (pow.f64 x #s(literal 2/3 binary64))) #s(literal -2 binary64)))
	48.2%	(.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 x (cbrt.f64 (.f64 x x))) #s(literal -2 binary64)))
	87.0%	(.f64 #s(literal 1/3 binary64) (pow.f64 (.f64 (pow.f64 x #s(literal -2/3 binary64)) x) #s(literal -2 binary64)))
	95.1%	(.f64 #s(literal 1/3 binary64) (pow.f64 (.f64 (/.f64 (pow.f64 x #s(literal 1/2 binary64)) (cbrt.f64 x)) (/.f64 (pow.f64 x #s(literal 1/2 binary64)) (cbrt.f64 x))) #s(literal -2 binary64)))
	95.1%	(.f64 #s(literal 1/3 binary64) (pow.f64 (.f64 (cbrt.f64 (pow.f64 x #s(literal 1/2 binary64))) (cbrt.f64 (sqrt.f64 x))) #s(literal -2 binary64)))
✓	95.8%	(*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))
	95.8%	(*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x)))
	95.9%	(*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))))
	96.4%	(*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 x) x))
	49.7%	(.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (cbrt.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 x x))))))
	95.8%	(.f64 #s(literal 1/3 binary64) (.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))))
	51.1%	(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
✓	49.7%	(.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))
	49.0%	(exp.f64 (.f64 (log.f64 (+.f64 (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (pow.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)))) #s(literal -1 binary64)))

Compiler

Compiled 2238 to 815 computations (63.6% saved)

regimes55.0ms (0.5%)

Counts

93 → 1

Calls

Call 1

Inputs
(-.f64 #s(literal 1 binary64) (cbrt.f64 x))
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))
(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))
(*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 x) x))
(/.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 x x)))
(/.f64 #s(literal 1/3 binary64) (/.f64 x (cbrt.f64 x)))
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))))
(.f64 #s(literal 1/3 binary64) (pow.f64 (.f64 x x) #s(literal -1/3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))) #s(literal 1/3 binary64))
(.f64 (pow.f64 (.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/3 binary64))
(.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
(.f64 #s(literal 1/3 binary64) (cbrt.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))))
(.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (cbrt.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 x x))))))
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(*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))
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(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
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(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64)))
(*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x)))
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(*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 x (pow.f64 x #s(literal 2/3 binary64))) #s(literal -2 binary64)))
(*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))))
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(/.f64 (.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (.f64 x x))
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(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -6 binary64))))
(*.f64 (pow.f64 (exp.f64 #s(literal -2/3 binary64)) (log.f64 x)) #s(literal 1/3 binary64))
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(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (exp.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 x))))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/2 binary64)))
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/2 binary64)))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 (pow.f64 x #s(literal 2/9 binary64)) (pow.f64 x #s(literal 1/9 binary64))))
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(/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (neg.f64 (pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))))))
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(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (+.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)))))
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(-.f64 (cbrt.f64 (exp.f64 (log1p.f64 x))) (cbrt.f64 x))
(-.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))) (cbrt.f64 x))
(-.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (cbrt.f64 x))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)))) #s(literal -1 binary64)))
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(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (-.f64 (pow.f64 x #s(literal 2/3 binary64)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) (-.f64 #s(literal 0 binary64) (cbrt.f64 x))))))
(.f64 #s(literal 1/3 binary64) (pow.f64 (.f64 (cbrt.f64 (pow.f64 x #s(literal 1/2 binary64))) (cbrt.f64 (sqrt.f64 x))) #s(literal -2 binary64)))
(.f64 #s(literal 1/3 binary64) (pow.f64 (.f64 (cbrt.f64 (pow.f64 x #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
(.f64 #s(literal 1/3 binary64) (pow.f64 (.f64 (/.f64 (pow.f64 x #s(literal 1/2 binary64)) (cbrt.f64 x)) (/.f64 (pow.f64 x #s(literal 1/2 binary64)) (cbrt.f64 x))) #s(literal -2 binary64)))
(exp.f64 (.f64 (log.f64 (+.f64 (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (pow.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)))) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (log.f64 (/.f64 (+.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2/3 binary64))) (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)))) (-.f64 (+.f64 #s(literal 1 binary64) x) x)))))
(+.f64 (.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (+.f64 (.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)))) (.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64)))))))
(.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2/3 binary64))) (+.f64 x (+.f64 x #s(literal 1 binary64)))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (-.f64 (pow.f64 x #s(literal 2/3 binary64)) (pow.f64 (.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1/3 binary64)))))
(/.f64 (+.f64 (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 (cbrt.f64 x) x)) (+.f64 (.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)))) (.f64 #s(literal -10/243 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))) (*.f64 x x))
(/.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 (.f64 (cbrt.f64 #s(literal -1 binary64)) (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (cbrt.f64 (.f64 x (+.f64 x #s(literal 2 binary64)))) x))) (.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) x))))))
(/.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 (.f64 (cbrt.f64 #s(literal -1 binary64)) (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))))) (.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) x))))))
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 4/3 binary64)) (pow.f64 x #s(literal 4/3 binary64))) (*.f64 (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2/3 binary64)))))
(/.f64 (+.f64 (.f64 (cbrt.f64 x) #s(literal -10/243 binary64)) (.f64 x (+.f64 (.f64 (cbrt.f64 x) #s(literal 5/81 binary64)) (.f64 x (+.f64 (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))))))) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (+.f64 (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (+.f64 (.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)))) (.f64 #s(literal -10/243 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))) (.f64 x x))
(/.f64 (+.f64 (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (+.f64 (.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)))) (*.f64 #s(literal -10/243 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))) (/.f64 x (/.f64 #s(literal 1 binary64) x)))
(/.f64 (+.f64 (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (+.f64 (.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)))) (*.f64 #s(literal -10/243 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 2/3 binary64)) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)))))
(/.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 (.f64 (cbrt.f64 #s(literal -1 binary64)) (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (exp.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x))) #s(literal 1/3 binary64)))) (.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))))))
(fma.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (pow.f64 (.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1/3 binary64))))) (neg.f64 (/.f64 x (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (pow.f64 (.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1/3 binary64)))))))
(fma.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (/.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 2/3 binary64)) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)))))
(/.f64 (+.f64 (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (+.f64 (.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)))) (.f64 #s(literal -10/243 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))) (.f64 (/.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x))))
(/.f64 (+.f64 (/.f64 (.f64 #s(literal -1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))))))) (.f64 (.f64 x (.f64 x x)) (pow.f64 (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))))))) x)
(/.f64 (+.f64 (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (+.f64 (.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)))) (.f64 #s(literal -10/243 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))) (.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 1/2 binary64))))
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (pow.f64 (.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1/3 binary64))))) (neg.f64 (/.f64 x (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (pow.f64 (.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1/3 binary64)))))))
(/.f64 (-.f64 (.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 (-.f64 (.f64 (cbrt.f64 (pow.f64 x #s(literal 10 binary64))) (/.f64 #s(literal -1/9 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (/.f64 (+.f64 (.f64 (cbrt.f64 (pow.f64 x #s(literal 13 binary64))) (/.f64 #s(literal 10/243 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 11 binary64)))) (.f64 (cbrt.f64 (pow.f64 x #s(literal 16 binary64))) (/.f64 #s(literal 5/81 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64))))) (.f64 x (.f64 x x)))) (.f64 x (.f64 x x)))) (*.f64 x x))

Outputs
(+.f64 (.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 x) x)) (.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))

Calls

2 calls:

27.0ms	x
22.0ms	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))

Results

Accuracy	Segments	Branch
97.7%	1	`x`
97.7%	1	`(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes28.0ms (0.3%)

Counts

47 → 1

Calls

Call 1

Inputs
(-.f64 #s(literal 1 binary64) (cbrt.f64 x))
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))
(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))
(*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 x) x))
(/.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 x x)))
(/.f64 #s(literal 1/3 binary64) (/.f64 x (cbrt.f64 x)))
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))))
(.f64 #s(literal 1/3 binary64) (pow.f64 (.f64 x x) #s(literal -1/3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))) #s(literal 1/3 binary64))
(.f64 (pow.f64 (.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/3 binary64))
(.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
(.f64 #s(literal 1/3 binary64) (cbrt.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))))
(.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (cbrt.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 x x))))))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))))
(*.f64 #s(literal 1/3 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)))
(.f64 (exp.f64 (.f64 #s(literal -2/3 binary64) (log.f64 x))) #s(literal 1/3 binary64))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
(/.f64 #s(literal 1/3 binary64) (exp.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 x))))
(/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x))
(.f64 #s(literal 1/3 binary64) (exp.f64 (neg.f64 (.f64 #s(literal 2/3 binary64) (log.f64 x)))))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64)))
(*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x)))
(.f64 #s(literal 1/3 binary64) (pow.f64 (.f64 (pow.f64 x #s(literal -2/3 binary64)) x) #s(literal -2 binary64)))
(*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 x (pow.f64 x #s(literal 2/3 binary64))) #s(literal -2 binary64)))
(*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))))
(.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 x (cbrt.f64 (.f64 x x))) #s(literal -2 binary64)))
(/.f64 (.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (.f64 x x))
(.f64 #s(literal 1/3 binary64) (.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))))
(*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (neg.f64 x))))
(-.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) (cbrt.f64 x))
(-.f64 (*.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal -5/3 binary64))) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2/3 binary64))))
(+.f64 (.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)))) (*.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal -5/3 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (cbrt.f64 x))
(.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)))) (cbrt.f64 (neg.f64 x))))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -6 binary64))))
(*.f64 (pow.f64 (exp.f64 #s(literal -2/3 binary64)) (log.f64 x)) #s(literal 1/3 binary64))
(.f64 #s(literal 1/3 binary64) (cbrt.f64 (exp.f64 (.f64 (log.f64 x) #s(literal -2 binary64)))))
(-.f64 (exp.f64 (*.f64 #s(literal 1/3 binary64) (log1p.f64 x))) (cbrt.f64 x))
(.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (.f64 #s(literal 1/3 binary64) (log.f64 x))) #s(literal 1/3 binary64))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (exp.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 x))))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/2 binary64)))
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/2 binary64)))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 (pow.f64 x #s(literal 2/9 binary64)) (pow.f64 x #s(literal 1/9 binary64))))
(.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 (cbrt.f64 (-.f64 #s(literal 0 binary64) (.f64 x x))) (cbrt.f64 (+.f64 #s(literal 0 binary64) x))) #s(literal -2 binary64)))

Outputs
(/.f64 #s(literal 1/3 binary64) (/.f64 x (cbrt.f64 x)))

Calls

2 calls:

16.0ms	x
10.0ms	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))

Results

Accuracy	Segments	Branch
96.5%	1	`(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))`
96.5%	1	`x`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes3.0ms (0%)

Counts

5 → 1

Calls

Call 1

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

Outputs
(*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 x) x))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
96.4%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
88.4%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
1.8%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative_binary64`
6×	`+-commutative_binary64`
4×	`sub-neg_binary64`
2×	`1-exp_binary64`
2×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	36
1	28	36
2	32	36
3	34	36
4	35	36

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 x) x)) (.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))
(/.f64 #s(literal 1/3 binary64) (/.f64 x (cbrt.f64 x)))
(*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 x) x))
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))
(-.f64 #s(literal 1 binary64) (cbrt.f64 x))

Outputs
(+.f64 (.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 x) x)) (.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))
(/.f64 #s(literal 1/3 binary64) (/.f64 x (cbrt.f64 x)))
(*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 x) x))
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64)))
(-.f64 #s(literal 1 binary64) (cbrt.f64 x))

soundness1.6s (15.3%)

Rules

5296×	`-lowering-.f32`
5296×	`-lowering-.f64`
3536×	`-lowering-.f32`
3536×	`-lowering-.f64`
3426×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	143
1	210	137
2	1618	135
0	8349	128
0	513	3902
1	1620	3474
2	5886	3432
0	8687	3432
0	33	116
1	200	106
2	1501	84
0	9160	81
0	43	188
1	248	162
2	2234	145
0	8883	140
0	146	551
1	378	495
2	1081	488
3	3258	483
0	8146	483

Stop Event

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

Compiler

Compiled 147 to 106 computations (27.9% saved)

preprocess40.0ms (0.4%)

Compiler: Compiled 142 to 72 computations (49.3% saved)

Iter	Nodes	Cost
0	6	18
1	11	18
2	15	18
3	22	18
4	32	18
5	64	18
6	122	18
7	210	18
8	295	18
9	401	18
10	479	18
11	485	18
0	485	18

Iter	Nodes	Cost
0	6	18
1	11	18
2	15	18
3	22	18
4	32	18
5	64	18
6	122	18
7	210	18
8	295	18
9	401	18
10	479	18
11	485	18
0	485	18

analyze3.0ms (0%)

sample2.2s (20.8%)

preprocess42.0ms (0.4%)

explain145.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify14.0ms (0.1%)

localize67.0ms (0.6%)

series14.0ms (0.1%)

rewrite248.0ms (2.4%)

simplify188.0ms (1.8%)

eval40.0ms (0.4%)

prune68.0ms (0.7%)

simplify198.0ms (1.9%)

localize573.0ms (5.5%)

series54.0ms (0.5%)

rewrite330.0ms (3.2%)

simplify302.0ms (2.9%)

eval228.0ms (2.2%)

prune170.0ms (1.6%)

simplify162.0ms (1.6%)

localize1.3s (12%)

series32.0ms (0.3%)

rewrite359.0ms (3.5%)

simplify317.0ms (3.1%)

eval186.0ms (1.8%)

prune188.0ms (1.8%)

simplify24.0ms (0.2%)

localize252.0ms (2.4%)

series80.0ms (0.8%)

rewrite278.0ms (2.7%)

simplify255.0ms (2.5%)

eval199.0ms (1.9%)

prune235.0ms (2.3%)

regimes55.0ms (0.5%)

regimes28.0ms (0.3%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes1.0ms (0%)

simplify11.0ms (0.1%)

soundness1.6s (15.3%)

preprocess40.0ms (0.4%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	6	18
1	11	18
2	15	18
3	22	18
4	32	18
5	64	18
6	122	18
7	210	18
8	295	18
9	401	18
10	479	18
11	485	18
0	485	18