Metrics for 2cbrt (problem 3.3.4)

analyze5.0ms (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: 2.0ms

ival-cbrt: 1.0ms (41.3% of total)

...c/correct-round.rkt:119:19: 1.0ms (41.3% of total)

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

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

ival-and: 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)

sample4.1s (18.6%)

Results

1.9s	4768×	1	valid
1.4s	3338×	2	valid
22.0ms	150×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 2.5s

ival-cbrt: 626.0ms (24.8% of total)

ival-add: 606.0ms (24% of total)

...c/correct-round.rkt:119:19: 421.0ms (16.7% of total)

backward-pass: 269.0ms (10.7% of total)

ival-sub: 232.0ms (9.2% of total)

ival->: 199.0ms (7.9% of total)

ival-<: 81.0ms (3.2% of total)

ival-and: 64.0ms (2.5% of total)

const: 27.0ms (1.1% of total)

Bogosity

preprocess85.0ms (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)))

explain266.0ms (1.2%)

FPErrors

Click to see full error table

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

Results

95.0ms	206×	2	valid
92.0ms	298×	1	valid
1.0ms	8×	0	valid

Compiler

Compiled 48 to 20 computations (58.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 90.0ms

ival-cbrt: 36.0ms (40.1% of total)

backward-pass: 21.0ms (23.4% of total)

ival-sub: 15.0ms (16.7% of total)

ival-add: 15.0ms (16.7% of total)

const: 2.0ms (2.2% of total)

eval1.0ms (0%)

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

prune2.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	6.6%	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))

Compiler

Compiled 8 to 6 computations (25% saved)

simplify31.0ms (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)

localize119.0ms (0.5%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 x #s(literal 1 binary64))
✓	accuracy	99.2%	(cbrt.f64 (+.f64 x #s(literal 1 binary64)))
✓	accuracy	99.2%	(cbrt.f64 x)
✓	accuracy	6.6%	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))

Results

49.0ms	103×	2	valid
46.0ms	149×	1	valid
1.0ms	4×	0	valid

Compiler

Compiled 20 to 7 computations (65% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-cbrt: 17.0ms (34.3% of total)

ival-sub: 12.0ms (24.2% of total)

backward-pass: 11.0ms (22.2% of total)

ival-add: 8.0ms (16.1% of total)

const: 1.0ms (2% of total)

series78.0ms (0.4%)

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
46.0ms	x	@	-inf	(cbrt x)
12.0ms	x	@	-inf	(- (cbrt (+ x 1)) (cbrt x))
9.0ms	x	@	inf	(- (cbrt (+ x 1)) (cbrt x))
5.0ms	x	@	0	(cbrt x)
3.0ms	x	@	inf	(cbrt x)

rewrite581.0ms (2.7%)

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	288	16
3	3370	16
0	8832	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 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (-.f64 #s(literal 0 binary64) (cbrt.f64 x)))
(+.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 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)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 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)) (cbrt.f64 (.f64 x (+.f64 x #s(literal 1 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)) (cbrt.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))))))))
(+.f64 (/.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 1/3 binary64)) (cbrt.f64 x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 2/3 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x)))) #s(literal -1 binary64)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))
(-.f64 #s(literal 0 binary64) (-.f64 (cbrt.f64 x) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 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)) (cbrt.f64 (.f64 x (+.f64 x #s(literal 1 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)) (cbrt.f64 (.f64 x (+.f64 x #s(literal 1 binary64))))))))
(-.f64 (/.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 1/3 binary64)) (cbrt.f64 x))) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))))
(-.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 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)) (cbrt.f64 (.f64 x (+.f64 x #s(literal 1 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)) (cbrt.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))))))))
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 2/3 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x)))))
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 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)) (cbrt.f64 (.f64 x (+.f64 x #s(literal 1 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)) (cbrt.f64 (.f64 x (+.f64 x #s(literal 1 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)) (cbrt.f64 (.f64 x (+.f64 x #s(literal 1 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)) (cbrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))))))
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 2/3 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x)))))
(fma.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 1/3 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (.f64 x (+.f64 x #s(literal 1 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)) (cbrt.f64 (.f64 x (+.f64 x #s(literal 1 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)) (cbrt.f64 (.f64 x (+.f64 x #s(literal 1 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)) (cbrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))))))
(fma.f64 #s(literal -1 binary64) (cbrt.f64 x) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 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) (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 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)) (cbrt.f64 (.f64 x (+.f64 x #s(literal 1 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)) (cbrt.f64 (.f64 x (+.f64 x #s(literal 1 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))) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/3 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))) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/3 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)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 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))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 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 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 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)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 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 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 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)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 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)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 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 1/3 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 1/3 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 #s(literal 1/2 binary64) (log.f64 x)) #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)))
(exp.f64 (.f64 (.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 x)) #s(literal 3/2 binary64)) #s(literal 2/3 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)))

simplify527.0ms (2.4%)

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	518
2	1079	511
3	3255	508
0	8048	508

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

eval116.0ms (0.5%)

Compiler: Compiled 6780 to 1049 computations (84.5% saved)

prune166.0ms (0.8%)

Pruning

29 alts after pruning (28 fresh and 1 done)

	Pruned	Kept	Total
New	293	28	321
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	293	29	322

Accuracy

52.3%

Counts

322 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	4.4%	(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)))
	6.3%	(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 2/3 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x)))))
	6.3%	(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 2/3 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x)))))
	4.2%	(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)))
	4.3%	(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)))
	7.0%	(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)) (cbrt.f64 (.f64 x (+.f64 x #s(literal 1 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)) (cbrt.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))))))))
	4.4%	(/.f64 (-.f64 (pow.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)) (cbrt.f64 (.f64 x (+.f64 x #s(literal 1 binary64))))))) #s(literal 3 binary64)) (pow.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)) (cbrt.f64 (.f64 x (+.f64 x #s(literal 1 binary64))))))) #s(literal 3 binary64))) (+.f64 (pow.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)) (cbrt.f64 (.f64 x (+.f64 x #s(literal 1 binary64))))))) #s(literal 2 binary64)) (+.f64 (pow.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)) (cbrt.f64 (.f64 x (+.f64 x #s(literal 1 binary64))))))) #s(literal 2 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)) (cbrt.f64 (.f64 x (+.f64 x #s(literal 1 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)) (cbrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))))))))
	5.6%	(/.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 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 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)))))
	6.8%	(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2/3 binary64))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x)))
▶	21.6%	(/.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 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)))))) (*.f64 x x))
	21.4%	(/.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))
	5.6%	(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 4/3 binary64)) (pow.f64 x #s(literal 4/3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 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))))
	4.2%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))
	6.8%	(-.f64 (/.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 1/3 binary64)) (cbrt.f64 x))) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))))
	6.8%	(-.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)) (cbrt.f64 (.f64 x (+.f64 x #s(literal 1 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)) (cbrt.f64 (.f64 x (+.f64 x #s(literal 1 binary64))))))))
	4.9%	(-.f64 (exp.f64 (*.f64 #s(literal 1/3 binary64) (log1p.f64 x))) (cbrt.f64 x))
	6.4%	(-.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))
	6.6%	(-.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) (cbrt.f64 x))
	7.7%	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 2/3 binary64)))
▶	7.7%	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)))
	7.7%	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64)))
	7.7%	(-.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))))
	7.0%	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (exp.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 x))))
✓	6.6%	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
	5.9%	(-.f64 (cbrt.f64 (exp.f64 (log1p.f64 x))) (cbrt.f64 x))
▶	1.8%	(-.f64 #s(literal 1 binary64) (cbrt.f64 x))
	6.6%	(*.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/6 binary64))) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/6 binary64))))
▶	50.3%	(.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))
▶	2.5%	(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x)))) #s(literal -1 binary64)))

Compiler

Compiled 1260 to 634 computations (49.7% saved)

simplify313.0ms (1.4%)

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 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))))
✓	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 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)))))) (*.f64 x x))
✓	cost-diff	64	(/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x)))
✓	cost-diff	64	(log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))))
✓	cost-diff	320	(*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x)))) #s(literal -1 binary64))
✓	cost-diff	13120	(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 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	6528	(pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64))
✓	cost-diff	6528	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 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

2228×	`sum3-define`
1768×	`fnmadd-define`
1590×	`sum4-define`
1432×	`fmsub-define`
1350×	`fnmsub-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	34	212
1	66	211
2	107	200
3	156	200
4	219	200
5	330	200
6	595	200
7	1004	200
8	1994	200
9	5206	200
0	8103	200

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 1/6) 2))
(cbrt (+ x 1))
(+ x 1)
x
1
(pow (pow x 1/6) 2)
(pow x 1/6)
1/6
2
(exp (* (log (/ 1 (- (pow (+ x 1) 1/3) (cbrt x)))) -1))
(* (log (/ 1 (- (pow (+ x 1) 1/3) (cbrt x)))) -1)
(log (/ 1 (- (pow (+ x 1) 1/3) (cbrt x))))
(/ 1 (- (pow (+ x 1) 1/3) (cbrt x)))
1
(- (pow (+ x 1) 1/3) (cbrt x))
(pow (+ x 1) 1/3)
(+ x 1)
x
1/3
(cbrt x)
-1
(/ (+ (* (cbrt x) -1/9) (+ (* 1/3 (cbrt (pow x 4))) (* 5/81 (cbrt (/ 1 (* x x)))))) (* x x))
(+ (* (cbrt x) -1/9) (+ (* 1/3 (cbrt (pow x 4))) (* 5/81 (cbrt (/ 1 (* x x))))))
(* (cbrt x) -1/9)
(cbrt x)
x
-1/9
(+ (* 1/3 (cbrt (pow x 4))) (* 5/81 (cbrt (/ 1 (* x x)))))
(* 1/3 (cbrt (pow x 4)))
1/3
(cbrt (pow x 4))
(pow x 4)
4
(* 5/81 (cbrt (/ 1 (* x x))))
5/81
(cbrt (/ 1 (* x x)))
(/ 1 (* x x))
1
(* x x)

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

localize1.3s (5.9%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.2%	(cbrt.f64 x)
✓	accuracy	52.8%	(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
✓	accuracy	51.8%	(/.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 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)))))) (*.f64 x x))
✓	accuracy	49.0%	(cbrt.f64 (pow.f64 x #s(literal 4 binary64)))
✓	accuracy	99.2%	(cbrt.f64 x)
✓	accuracy	92.0%	(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64))
✓	accuracy	91.8%	(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x)))) #s(literal -1 binary64)))
✓	accuracy	6.6%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))
✓	accuracy	99.2%	(cbrt.f64 (+.f64 x #s(literal 1 binary64)))
✓	accuracy	99.1%	(pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64))
✓	accuracy	93.5%	(pow.f64 x #s(literal 1/6 binary64))
✓	accuracy	6.6%	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (cbrt.f64 x))
✓	accuracy	99.2%	(cbrt.f64 x)
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.5%	(/.f64 #s(literal 1 binary64) (*.f64 x x))
✓	accuracy	99.4%	(.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))
✓	accuracy	52.8%	(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))

Results

686.0ms	149×	1	valid
414.0ms	103×	2	valid
4.0ms	4×	0	valid

Compiler

Compiled 240 to 35 computations (85.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 504.0ms

ival-pow: 145.0ms (28.8% of total)

backward-pass: 79.0ms (15.7% of total)

ival-mult: 71.0ms (14.1% of total)

...c/correct-round.rkt:119:19: 70.0ms (13.9% of total)

ival-cbrt: 34.0ms (6.8% of total)

ival-div: 29.0ms (5.8% of total)

ival-sub: 22.0ms (4.4% of total)

ival-add: 21.0ms (4.2% of total)

ival-log: 17.0ms (3.4% of total)

ival-exp: 12.0ms (2.4% of total)

const: 3.0ms (0.6% of total)

series266.0ms (1.2%)

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

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

Calls

63 calls:

Time	Variable		Point	Expression
107.0ms	x	@	0	(pow x 1/6)
38.0ms	x	@	-inf	(pow x 1/6)
25.0ms	x	@	-inf	(* (log (/ 1 (- (pow (+ x 1) 1/3) (cbrt x)))) -1)
14.0ms	x	@	inf	(pow x 1/6)
11.0ms	x	@	0	(* (log (/ 1 (- (pow (+ x 1) 1/3) (cbrt x)))) -1)

rewrite867.0ms (4%)

Algorithm

1×	batch-egg-rewrite

Rules

4228×	`-lowering-.f32`
4228×	`-lowering-.f64`
2948×	`/-lowering-/.f32`
2948×	`/-lowering-/.f64`
1800×	`frac-times`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	136
1	171	130
2	1285	128
0	8291	121

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 874

Calls

Call 1

Inputs
(* 1/3 (cbrt (/ 1 (* x x))))
(cbrt (/ 1 (* x x)))
(/ 1 (* x x))
(* x x)
(- 1 (cbrt x))
(cbrt x)
(- (cbrt (+ x 1)) (pow (pow x 1/6) 2))
(pow (pow x 1/6) 2)
(cbrt (+ x 1))
(+ x 1)
(exp (* (log (/ 1 (- (pow (+ x 1) 1/3) (cbrt x)))) -1))
(* (log (/ 1 (- (pow (+ x 1) 1/3) (cbrt x)))) -1)
(log (/ 1 (- (pow (+ x 1) 1/3) (cbrt x))))
(/ 1 (- (pow (+ x 1) 1/3) (cbrt x)))
(/ (+ (* (cbrt x) -1/9) (+ (* 1/3 (cbrt (pow x 4))) (* 5/81 (cbrt (/ 1 (* x x)))))) (* x x))
(+ (* (cbrt x) -1/9) (+ (* 1/3 (cbrt (pow x 4))) (* 5/81 (cbrt (/ 1 (* x x))))))
(* (cbrt x) -1/9)
(pow x 1/6)
(- (pow (+ x 1) 1/3) (cbrt x))
(pow (+ x 1) 1/3)
(cbrt (pow x 4))

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 #s(literal 2 binary64) (log.f64 x)) #s(literal -1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 2/3 binary64))) #s(literal -1 binary64)))
(exp.f64 (.f64 (+.f64 (.f64 #s(literal 1/3 binary64) (log.f64 x)) (*.f64 #s(literal 1/3 binary64) (log.f64 x))) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (+.f64 (.f64 #s(literal 1/3 binary64) (log.f64 x)) (.f64 #s(literal 1/3 binary64) (log.f64 x)))))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64)))
(/.f64 #s(literal 1 binary64) (cbrt.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 x #s(literal 2/3 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 x #s(literal 2/3 binary64))))
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(/.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (cbrt.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x))))
(/.f64 (cbrt.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64))) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/3 binary64)))
(/.f64 (cbrt.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (cbrt.f64 (neg.f64 (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (cbrt.f64 (neg.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)))) (cbrt.f64 (neg.f64 (+.f64 x #s(literal -1 binary64)))))
(/.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (cbrt.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (neg.f64 (cbrt.f64 (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (neg.f64 (cbrt.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)))) (neg.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/3 binary64))))
(pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64))
(pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log1p.f64 x))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)))
(.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) x))) #s(literal 1/3 binary64)))
(.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) x)))))
(.f64 (cbrt.f64 (+.f64 (.f64 x x) #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal 1/3 binary64)))
(.f64 (cbrt.f64 (+.f64 (.f64 x x) #s(literal -1 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 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 (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 1/3 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64))) (cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 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 1/3 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
(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 (.f64 #s(literal 1/3 binary64) (log.f64 x)) (.f64 #s(literal 1/3 binary64) (log.f64 x))) (+.f64 (.f64 #s(literal 1/3 binary64) (log.f64 x)) (.f64 #s(literal 1/3 binary64) (log.f64 x)))))
(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 1/6 binary64)) #s(literal 8 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 (.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)))

simplify730.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

4506×	`-lowering-.f32`
4506×	`-lowering-.f64`
2122×	`+-lowering-+.f64`
2122×	`+-lowering-+.f32`
1500×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	483	4000
1	1514	3757
2	5823	3708
0	8019	3708

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)
(- 1 (cbrt x))
(- 1 (cbrt x))
(- 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)))
(* x (+ (* (cbrt (/ 1 (pow x 2))) (cbrt -1)) (/ 1 x)))
(* 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)))
(* -1 (* (cbrt x) (cbrt -1)))
(* -1 (* (cbrt x) (cbrt -1)))
(* -1 (* (cbrt x) (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 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
(+ 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)))))
(* 5/81 (cbrt (/ 1 (pow x 8))))
(/ (+ (* -1/9 (cbrt (pow x 4))) (* 5/81 (cbrt x))) (pow x 3))
(/ (+ (* 5/81 (cbrt x)) (* x (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))))) (pow x 3))
(/ (+ (* 5/81 (cbrt x)) (* x (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))))) (pow x 3))
(* 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)))) (+ (* 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 (/ (+ (* -1/9 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* -5/81 (cbrt (/ 1 (pow x 5))))) x)) (* 1/3 (cbrt (/ 1 (pow x 2)))))
(* 5/81 (cbrt (/ 1 (pow x 2))))
(/ (+ (* -1/9 (cbrt (pow x 4))) (* 5/81 (cbrt x))) x)
(/ (+ (* 5/81 (cbrt x)) (* x (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))))) x)
(/ (+ (* 5/81 (cbrt x)) (* x (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))))) x)
(* 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)))) (+ (* 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 (/ (+ (* -1/9 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* -5/81 (cbrt (/ 1 (pow x 5))))) 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)))
(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)
(exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x))))))
(exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x))))))
(exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x))))))
(exp (* 1/6 (+ (log -1) (* -1 (log (/ -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
(+ 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)))))
(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))

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))))
(- 1 (cbrt x))
(-.f64 #s(literal 1 binary64) (cbrt.f64 x))
(- (+ 1 (* 1/3 x)) (cbrt x))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/3 binary64) x) (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))))
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(* (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 (/ (+ (* -1/9 (* (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)))
(* -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)))
(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))
(exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x))))))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/6 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/6 binary64)))
(exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x))))))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/6 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/6 binary64)))
(exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x))))))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/6 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/6 binary64)))
(exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x))))))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/6 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/6 binary64)))
(- 1 (cbrt x))
(-.f64 #s(literal 1 binary64) (cbrt.f64 x))
(- (+ 1 (* 1/3 x)) (cbrt x))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/3 binary64) x) (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 (.f64 #s(literal 1/3 binary64) (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 (.f64 #s(literal 1/3 binary64) (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 (.f64 #s(literal 1/3 binary64) (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 (.f64 #s(literal 1/3 binary64) (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 (.f64 #s(literal 5/81 binary64) (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))
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 #s(literal 0 binary64) (.f64 x (-.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 (.f64 #s(literal 1/3 binary64) (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))))))
(* -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 (.f64 #s(literal 1/3 binary64) (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))
(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)))

eval467.0ms (2.1%)

Compiler: Compiled 35278 to 4141 computations (88.3% saved)

prune395.0ms (1.8%)

Pruning

30 alts after pruning (27 fresh and 3 done)

	Pruned	Kept	Total
New	1417	24	1441
Fresh	20	3	23
Picked	3	2	5
Done	0	1	1
Total	1440	30	1470

Accuracy

99.3%

Counts

1470 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	7.9%	(/.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)) (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))))))
▶	45.9%	(/.f64 (+.f64 (/.f64 #s(literal 5/81 binary64) (pow.f64 x #s(literal 2/3 binary64))) (+.f64 (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64))))) (*.f64 x x))
	21.0%	(/.f64 (+.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 (.f64 x x)))
	49.5%	(/.f64 (+.f64 (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (+.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.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))
	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 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)))))) (.f64 x x))
	21.6%	(/.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 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
	21.4%	(/.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))
	48.7%	(/.f64 (.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))))))) (.f64 x x))
	20.7%	(/.f64 (.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (.f64 x x))
	88.9%	(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))
	4.2%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))
▶	7.7%	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64)))
✓	6.6%	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
✓	1.8%	(-.f64 #s(literal 1 binary64) (cbrt.f64 x))
	51.1%	(+.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))))))
▶	88.9%	(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))
▶	96.7%	(*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))
	96.6%	(*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x)))
▶	96.5%	(*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (neg.f64 x))))
	88.9%	(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))))
	50.4%	(.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (cbrt.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 x x))))))
	96.5%	(.f64 #s(literal 1/3 binary64) (.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))))
	89.2%	(.f64 #s(literal 1/3 binary64) (exp.f64 (.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal -1/3 binary64))))
	50.6%	(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -6 binary64))))
	50.9%	(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
✓	50.3%	(.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))
	50.9%	(.f64 #s(literal 1/3 binary64) (cbrt.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))))
	48.1%	(.f64 #s(literal 1/3 binary64) (cbrt.f64 (exp.f64 (.f64 (log.f64 x) #s(literal -2 binary64)))))
	47.7%	(exp.f64 (.f64 (log.f64 (.f64 #s(literal 3 binary64) (cbrt.f64 (*.f64 x x)))) #s(literal -1 binary64)))
	7.9%	(exp.f64 (neg.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (+.f64 (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 810 to 577 computations (28.8% saved)

simplify333.0ms (1.5%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Rules

1596×	`sum3-define`
1568×	`sum5-define`
1194×	`fmsub-define`
1142×	`fmm-def`
1056×	`sum4-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	38654705742
1	63	38654705742
2	88	38654705742
3	114	38654705742
4	137	38654705742
5	175	38654705742
6	250	38654705742
7	365	38654705742
8	471	38654705742
9	659	38654705742
10	938	38654705742
11	1041	38654705742
12	1294	38654705742
13	2032	38654705742
14	5911	38654705742
15	7434	38654705742
0	8206	152

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

Outputs
(* 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)
(* (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)
(- (cbrt (+ x 1)) (pow x 1/3))
(-.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)
(pow x 1/3)
(cbrt.f64 x)
1/3
#s(literal 1/3 binary64)
(* 1/3 (/ (cbrt (neg (/ 1 x))) (cbrt (neg x))))
(/.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal -1 binary64) x))) (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)
(/ (+ (/ 5/81 (pow x 2/3)) (+ (* (cbrt x) -1/9) (* 1/3 (pow x 4/3)))) (* x x))
(/.f64 (+.f64 (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (+.f64 (/.f64 #s(literal 5/81 binary64) (pow.f64 x #s(literal 2/3 binary64))) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64))))) (*.f64 x x))
(+ (/ 5/81 (pow x 2/3)) (+ (* (cbrt x) -1/9) (* 1/3 (pow x 4/3))))
(+.f64 (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (+.f64 (/.f64 #s(literal 5/81 binary64) (pow.f64 x #s(literal 2/3 binary64))) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64)))))
(/ 5/81 (pow x 2/3))
(/.f64 #s(literal 5/81 binary64) (pow.f64 x #s(literal 2/3 binary64)))
5/81
#s(literal 5/81 binary64)
(pow x 2/3)
(pow.f64 x #s(literal 2/3 binary64))
x
2/3
#s(literal 2/3 binary64)
(+ (* (cbrt x) -1/9) (* 1/3 (pow x 4/3)))
(+.f64 (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64))))
(* (cbrt x) -1/9)
(*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))
(cbrt x)
(cbrt.f64 x)
-1/9
#s(literal -1/9 binary64)
(* 1/3 (pow x 4/3))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64)))
1/3
#s(literal 1/3 binary64)
(pow x 4/3)
(pow.f64 x #s(literal 4/3 binary64))
4/3
#s(literal 4/3 binary64)
(* x x)
(*.f64 x x)

localize942.0ms (4.3%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.2%	(cbrt.f64 x)
✓	accuracy	92.1%	(pow.f64 x #s(literal 4/3 binary64))
✓	accuracy	90.5%	(pow.f64 x #s(literal 2/3 binary64))
✓	accuracy	51.8%	(/.f64 (+.f64 (/.f64 #s(literal 5/81 binary64) (pow.f64 x #s(literal 2/3 binary64))) (+.f64 (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64))))) (*.f64 x x))
✓	accuracy	99.5%	(/.f64 (cbrt.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (neg.f64 x)))
✓	accuracy	99.4%	(*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (neg.f64 x))))
✓	accuracy	99.2%	(cbrt.f64 (neg.f64 x))
✓	accuracy	99.0%	(cbrt.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)))
✓	accuracy	100.0%	(+.f64 x #s(literal 1 binary64))
✓	accuracy	99.2%	(cbrt.f64 (+.f64 x #s(literal 1 binary64)))
✓	accuracy	92.0%	(pow.f64 x #s(literal 1/3 binary64))
✓	accuracy	6.6%	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64)))
✓	accuracy	99.4%	(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))
✓	accuracy	90.6%	(pow.f64 x #s(literal -2/3 binary64))
✓	accuracy	99.4%	(*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))
✓	accuracy	99.2%	(cbrt.f64 x)
✓	accuracy	99.2%	(pow.f64 (cbrt.f64 x) #s(literal -2 binary64))

Results

429.0ms	149×	1	valid
366.0ms	103×	2	valid
5.0ms	4×	0	valid

Compiler

Compiled 166 to 35 computations (78.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 526.0ms

ival-pow: 166.0ms (31.6% of total)

...c/correct-round.rkt:119:19: 121.0ms (23% of total)

backward-pass: 62.0ms (11.8% of total)

ival-mult: 57.0ms (10.8% of total)

ival-div: 42.0ms (8% of total)

ival-cbrt: 35.0ms (6.7% of total)

ival-add: 23.0ms (4.4% of total)

ival-neg: 12.0ms (2.3% of total)

ival-sub: 7.0ms (1.3% of total)

const: 2.0ms (0.4% of total)

series45.0ms (0.2%)

Counts

19 → 228

Calls

Call 1

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

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

Calls

57 calls:

Time	Variable		Point	Expression
5.0ms	x	@	inf	(pow x 2/3)
3.0ms	x	@	-inf	(pow x -2/3)
3.0ms	x	@	0	(pow x -2/3)
3.0ms	x	@	-inf	(* 1/3 (pow (cbrt x) -2))
3.0ms	x	@	-inf	(pow x 4/3)

rewrite854.0ms (3.9%)

Algorithm

1×	batch-egg-rewrite

Rules

4350×	`-lowering-.f32`
4350×	`-lowering-.f64`
2872×	`/-lowering-/.f32`
2872×	`/-lowering-/.f64`
1860×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	116
1	173	107
2	1302	106
0	8310	93

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 732

Calls

Call 1

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

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

simplify645.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

4162×	`-lowering-.f32`
4162×	`-lowering-.f64`
1934×	`+-lowering-+.f64`
1934×	`+-lowering-+.f32`
1650×	`/-lowering-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	180	1851
1	481	1806
2	1407	1795
3	4205	1792
0	8447	1792

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

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

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))) (/ 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))))
(* 1/3 (* (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))))
(* 1/3 (* (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))))
(* 1/3 (* (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))))
(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))) (/ 1 (pow (cbrt -1) 2)))
(/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))
(/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))
(/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))
(/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 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) (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)))
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(/ (+ (* 5/81 (cbrt x)) (* x (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))))) (pow x 3))
(/.f64 (+.f64 (.f64 (.f64 #s(literal 1/3 binary64) x) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (.f64 (cbrt.f64 x) (+.f64 #s(literal 5/81 binary64) (.f64 x #s(literal -1/9 binary64))))) (.f64 x (.f64 x x)))
(/ (+ (* 5/81 (cbrt x)) (* x (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))))) (pow x 3))
(/.f64 (+.f64 (.f64 (.f64 #s(literal 1/3 binary64) x) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (.f64 (cbrt.f64 x) (+.f64 #s(literal 5/81 binary64) (.f64 x #s(literal -1/9 binary64))))) (.f64 x (.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))))
(+ (* -1/9 (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 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64))))) (+.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 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64))))) (+.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 (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 #s(literal 1/9 binary64) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) (cbrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) x))
(+ (* -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 #s(literal 1/9 binary64) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) (cbrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) x))
(* 5/81 (cbrt (/ 1 (pow x 2))))
(.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 5/81 binary64))
(/ (+ (* -1/9 (cbrt (pow x 4))) (* 5/81 (cbrt x))) x)
(/.f64 (+.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))) x)
(/ (+ (* 5/81 (cbrt x)) (* x (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))))) x)
(/.f64 (+.f64 (.f64 (.f64 #s(literal 1/3 binary64) x) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (.f64 (cbrt.f64 x) (+.f64 #s(literal 5/81 binary64) (.f64 x #s(literal -1/9 binary64))))) x)
(/ (+ (* 5/81 (cbrt x)) (* x (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))))) x)
(/.f64 (+.f64 (.f64 (.f64 #s(literal 1/3 binary64) x) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (.f64 (cbrt.f64 x) (+.f64 #s(literal 5/81 binary64) (.f64 x #s(literal -1/9 binary64))))) 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 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64))))) (+.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 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64))))) (+.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 (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 #s(literal 1/9 binary64) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) (cbrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) x)))
(* (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 #s(literal 1/9 binary64) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) (cbrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) x)))
(* 5/81 (cbrt (/ 1 (pow x 2))))
(.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 5/81 binary64))
(* 5/81 (cbrt (/ 1 (pow x 2))))
(.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 5/81 binary64))
(* 5/81 (cbrt (/ 1 (pow x 2))))
(.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 5/81 binary64))
(* 5/81 (cbrt (/ 1 (pow x 2))))
(.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 5/81 binary64))
(* 5/81 (cbrt (/ 1 (pow x 2))))
(.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 5/81 binary64))
(* 5/81 (cbrt (/ 1 (pow x 2))))
(.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 5/81 binary64))
(* 5/81 (cbrt (/ 1 (pow x 2))))
(.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 5/81 binary64))
(* 5/81 (cbrt (/ 1 (pow x 2))))
(.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 5/81 binary64))
(* 5/81 (cbrt (/ 1 (pow x 2))))
(.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 5/81 binary64))
(* 5/81 (cbrt (/ 1 (pow x 2))))
(.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 5/81 binary64))
(* 5/81 (cbrt (/ 1 (pow x 2))))
(.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 5/81 binary64))
(* 5/81 (cbrt (/ 1 (pow x 2))))
(.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 5/81 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 #s(literal 0 binary64) (cbrt.f64 #s(literal -1 binary64))))
(* -1 (* (cbrt (pow x 2)) (cbrt -1)))
(.f64 (cbrt.f64 (.f64 x x)) (-.f64 #s(literal 0 binary64) (cbrt.f64 #s(literal -1 binary64))))
(* -1 (* (cbrt (pow x 2)) (cbrt -1)))
(.f64 (cbrt.f64 (.f64 x x)) (-.f64 #s(literal 0 binary64) (cbrt.f64 #s(literal -1 binary64))))
(* -1 (* (cbrt (pow x 2)) (cbrt -1)))
(.f64 (cbrt.f64 (.f64 x x)) (-.f64 #s(literal 0 binary64) (cbrt.f64 #s(literal -1 binary64))))
(* (cbrt x) (cbrt -1))
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 x))
(* (cbrt x) (cbrt -1))
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 x))
(* (cbrt x) (cbrt -1))
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 x))
(* (cbrt x) (cbrt -1))
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 x))
(* (cbrt x) (cbrt -1))
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 x))
(* (cbrt x) (cbrt -1))
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 x))
(* (cbrt x) (cbrt -1))
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 x))
(* (cbrt x) (cbrt -1))
(*.f64 (cbrt.f64 #s(literal -1 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 0 binary64) (cbrt.f64 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)))

eval325.0ms (1.5%)

Compiler: Compiled 22043 to 2572 computations (88.3% saved)

prune292.0ms (1.3%)

Pruning

35 alts after pruning (28 fresh and 7 done)

	Pruned	Kept	Total
New	995	14	1009
Fresh	8	14	22
Picked	1	4	5
Done	0	3	3
Total	1004	35	1039

Accuracy

99.5%

Counts

1039 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
	7.9%	(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))))
✓	45.9%	(/.f64 (+.f64 (/.f64 #s(literal 5/81 binary64) (pow.f64 x #s(literal 2/3 binary64))) (+.f64 (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64))))) (*.f64 x x))
	50.2%	(/.f64 (+.f64 (/.f64 #s(literal 5/81 binary64) (pow.f64 x #s(literal 2/3 binary64))) (+.f64 (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (.f64 #s(literal 1/3 binary64) (.f64 (cbrt.f64 x) x)))) (.f64 x x))
	21.0%	(/.f64 (+.f64 (.f64 (.f64 #s(literal 1/3 binary64) x) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (.f64 (cbrt.f64 x) (+.f64 #s(literal 5/81 binary64) (.f64 x #s(literal -1/9 binary64))))) (.f64 x (.f64 x x)))
	21.0%	(/.f64 (+.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 (.f64 x x)))
	21.4%	(/.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))
	48.7%	(/.f64 (.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))))))) (.f64 x x))
	20.7%	(/.f64 (.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (.f64 x x))
▶	88.9%	(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))
▶	4.2%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))
✓	7.7%	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64)))
✓	6.6%	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
✓	1.8%	(-.f64 #s(literal 1 binary64) (cbrt.f64 x))
	51.1%	(+.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))))))
▶	90.0%	(*.f64 (pow.f64 (exp.f64 #s(literal -2/3 binary64)) (log.f64 x)) #s(literal 1/3 binary64))
	88.4%	(.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (.f64 #s(literal 1/3 binary64) (log.f64 x))) #s(literal 1/3 binary64))
✓	88.9%	(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))
	88.9%	(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))) #s(literal 1/3 binary64))
	50.4%	(.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 (.f64 x x) #s(literal 1 binary64)))) #s(literal 1/3 binary64))
	89.2%	(.f64 (exp.f64 (.f64 #s(literal -2/3 binary64) (log.f64 x))) #s(literal 1/3 binary64))
	49.9%	(.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)))
	95.7%	(.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)))
✓	96.7%	(*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))
▶	96.6%	(*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x)))
	50.1%	(.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))))
	96.5%	(*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))))
	29.0%	(.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)))))))
▶	50.1%	(.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 x))) (cbrt.f64 (+.f64 #s(literal 0 binary64) x)))))
	96.5%	(.f64 #s(literal 1/3 binary64) (.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))))
	50.6%	(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -6 binary64))))
	50.9%	(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
✓	50.3%	(.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))
	50.9%	(.f64 #s(literal 1/3 binary64) (cbrt.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))))
	47.7%	(exp.f64 (.f64 (log.f64 (.f64 #s(literal 3 binary64) (cbrt.f64 (*.f64 x x)))) #s(literal -1 binary64)))
	7.9%	(exp.f64 (neg.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (+.f64 (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 909 to 645 computations (29% saved)

simplify300.0ms (1.4%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(cbrt.f64 (+.f64 #s(literal 0 binary64) x))
✓	cost-diff	128	(/.f64 (cbrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) (cbrt.f64 (+.f64 #s(literal 0 binary64) x)))
✓	cost-diff	192	(/.f64 (cbrt.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 (cbrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) (cbrt.f64 (+.f64 #s(literal 0 binary64) x))))
✓	cost-diff	192	(.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 x))) (cbrt.f64 (+.f64 #s(literal 0 binary64) x)))))
✓	cost-diff	0	(log.f64 x)
✓	cost-diff	0	(exp.f64 #s(literal -2/3 binary64))
✓	cost-diff	0	(pow.f64 (exp.f64 #s(literal -2/3 binary64)) (log.f64 x))
✓	cost-diff	0	(*.f64 (pow.f64 (exp.f64 #s(literal -2/3 binary64)) (log.f64 x)) #s(literal 1/3 binary64))
✓	cost-diff	0	(cbrt.f64 x)
✓	cost-diff	0	(+.f64 x #s(literal 1 binary64))
✓	cost-diff	64	(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64))
✓	cost-diff	64	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))
✓	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	(cbrt.f64 x)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (cbrt.f64 x))
✓	cost-diff	0	(/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x))
✓	cost-diff	128	(*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x)))

Rules

2636×	`fnmadd-define`
2006×	`fma-define`
1186×	`fmsub-define`
1178×	`sum3-define`
1160×	`fnmsub-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	8589934717
1	63	8589934716
2	117	8589934716
3	235	8589934716
4	279	8589934716
5	333	8589934716
6	403	8589934716
7	519	8589934716
8	746	8589934716
9	903	8589934716
10	1382	8589934716
11	2464	8589934716
12	5419	8589934716
13	6805	8589934716
14	7902	8589934716
0	8022	134

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize884.0ms (4%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.2%	(cbrt.f64 (+.f64 #s(literal 0 binary64) x))
✓	accuracy	99.2%	(/.f64 (cbrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) (cbrt.f64 (+.f64 #s(literal 0 binary64) x)))
✓	accuracy	99.0%	(cbrt.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)))
✓	accuracy	52.3%	(cbrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)))
✓	accuracy	100.0%	(log.f64 x)
✓	accuracy	100.0%	(exp.f64 #s(literal -2/3 binary64))
✓	accuracy	99.4%	(*.f64 (pow.f64 (exp.f64 #s(literal -2/3 binary64)) (log.f64 x)) #s(literal 1/3 binary64))
✓	accuracy	91.7%	(pow.f64 (exp.f64 #s(literal -2/3 binary64)) (log.f64 x))
✓	accuracy	100.0%	(+.f64 x #s(literal 1 binary64))
✓	accuracy	99.2%	(cbrt.f64 x)
✓	accuracy	92.0%	(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64))
✓	accuracy	6.6%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))
✓	accuracy	99.4%	(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))
✓	accuracy	90.5%	(pow.f64 x #s(literal 2/3 binary64))
✓	accuracy	99.5%	(/.f64 #s(literal 1 binary64) (cbrt.f64 x))
✓	accuracy	99.5%	(/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x))
✓	accuracy	99.4%	(*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x)))
✓	accuracy	99.2%	(cbrt.f64 x)

Results

379.0ms	149×	1	valid
321.0ms	103×	2	valid
44.0ms	4×	0	valid

Compiler

Compiled 162 to 31 computations (80.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 474.0ms

...c/correct-round.rkt:119:19: 112.0ms (23.7% of total)

ival-pow: 109.0ms (23% of total)

ival-div: 59.0ms (12.5% of total)

backward-pass: 54.0ms (11.4% of total)

ival-cbrt: 41.0ms (8.7% of total)

ival-mult: 39.0ms (8.2% of total)

ival-add: 14.0ms (3% of total)

ival-sub: 13.0ms (2.7% of total)

ival-log: 13.0ms (2.7% of total)

ival-exp: 11.0ms (2.3% of total)

ival-neg: 7.0ms (1.5% of total)

const: 2.0ms (0.4% of total)

series111.0ms (0.5%)

Counts

19 → 216

Calls

Call 1

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

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

Calls

54 calls:

Time	Variable		Point	Expression
96.0ms	x	@	0	(* (pow (exp -2/3) (log x)) 1/3)
2.0ms	x	@	-inf	(/ 1 (cbrt x))
2.0ms	x	@	-inf	(* (pow (exp -2/3) (log x)) 1/3)
2.0ms	x	@	inf	(* (pow (exp -2/3) (log x)) 1/3)
0.0ms	x	@	inf	(cbrt (- 0 (* x x)))

rewrite775.0ms (3.5%)

Algorithm

1×	batch-egg-rewrite

Rules

3986×	`/-lowering-/.f32`
3986×	`/-lowering-/.f64`
3552×	`-lowering-.f32`
3552×	`-lowering-.f64`
1634×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	92
1	173	77
2	1189	77
0	8844	69

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 1150

Calls

Call 1

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

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

simplify582.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

3566×	`-lowering-.f32`
3566×	`-lowering-.f64`
1804×	`/-lowering-/.f32`
1804×	`/-lowering-/.f64`
1604×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	166	1571
1	424	1518
2	1180	1511
3	3430	1508
0	8347	1484

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 216

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

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))) (/ 1 (pow (cbrt -1) 2))))
(.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))
(.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))
(.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))
(.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(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))) (/ 1 (pow (cbrt -1) 2)))
(/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))
(/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))
(/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))
(/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(cbrt (/ 1 x))
(cbrt.f64 (/.f64 #s(literal 1 binary64) x))
(cbrt (/ 1 x))
(cbrt.f64 (/.f64 #s(literal 1 binary64) x))
(cbrt (/ 1 x))
(cbrt.f64 (/.f64 #s(literal 1 binary64) x))
(cbrt (/ 1 x))
(cbrt.f64 (/.f64 #s(literal 1 binary64) x))
(cbrt (/ 1 x))
(cbrt.f64 (/.f64 #s(literal 1 binary64) x))
(cbrt (/ 1 x))
(cbrt.f64 (/.f64 #s(literal 1 binary64) x))
(cbrt (/ 1 x))
(cbrt.f64 (/.f64 #s(literal 1 binary64) x))
(cbrt (/ 1 x))
(cbrt.f64 (/.f64 #s(literal 1 binary64) x))
(cbrt (/ 1 x))
(cbrt.f64 (/.f64 #s(literal 1 binary64) x))
(cbrt (/ 1 x))
(cbrt.f64 (/.f64 #s(literal 1 binary64) x))
(cbrt (/ 1 x))
(cbrt.f64 (/.f64 #s(literal 1 binary64) x))
(cbrt (/ 1 x))
(cbrt.f64 (/.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)))
(* 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 (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))
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(*.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)))
(* (cbrt (pow x 2)) (cbrt -1))
(.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (.f64 x x)))
(* (cbrt (pow x 2)) (cbrt -1))
(.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (.f64 x x)))
(* (cbrt (pow x 2)) (cbrt -1))
(.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (.f64 x x)))
(* (cbrt (pow x 2)) (cbrt -1))
(.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (.f64 x x)))
(* (cbrt (pow x 2)) (cbrt -1))
(.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (.f64 x x)))
(* (cbrt (pow x 2)) (cbrt -1))
(.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (.f64 x x)))
(* (cbrt (pow x 2)) (cbrt -1))
(.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (.f64 x x)))
(* (cbrt (pow x 2)) (cbrt -1))
(.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (.f64 x x)))
(* -1 (* (cbrt (pow x 2)) (pow (cbrt -1) 2)))
(-.f64 #s(literal 0 binary64) (.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (cbrt.f64 (.f64 x x))))
(* -1 (* (cbrt (pow x 2)) (pow (cbrt -1) 2)))
(-.f64 #s(literal 0 binary64) (.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (cbrt.f64 (.f64 x x))))
(* -1 (* (cbrt (pow x 2)) (pow (cbrt -1) 2)))
(-.f64 #s(literal 0 binary64) (.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (cbrt.f64 (.f64 x x))))
(* -1 (* (cbrt (pow x 2)) (pow (cbrt -1) 2)))
(-.f64 #s(literal 0 binary64) (.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (cbrt.f64 (.f64 x x))))
(* (cbrt (/ 1 x)) (cbrt -1))
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (cbrt (/ 1 x)) (cbrt -1))
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (cbrt (/ 1 x)) (cbrt -1))
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (cbrt (/ 1 x)) (cbrt -1))
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (cbrt (/ 1 x)) (cbrt -1))
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (cbrt (/ 1 x)) (cbrt -1))
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (cbrt (/ 1 x)) (cbrt -1))
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (cbrt (/ 1 x)) (cbrt -1))
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (cbrt (/ 1 x)) (cbrt -1))
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (cbrt (/ 1 x)) (cbrt -1))
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (cbrt (/ 1 x)) (cbrt -1))
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (cbrt (/ 1 x)) (cbrt -1))
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))

eval426.0ms (1.9%)

Compiler: Compiled 23568 to 2815 computations (88.1% saved)

prune448.0ms (2%)

Pruning

44 alts after pruning (34 fresh and 10 done)

	Pruned	Kept	Total
New	1464	20	1484
Fresh	9	14	23
Picked	2	3	5
Done	0	7	7
Total	1475	44	1519

Accuracy

99.7%

Counts

1519 → 44

Alt Table

Click to see full alt table

Status	Accuracy	Program
	96.6%	(/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x))
	7.9%	(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))))
✓	45.9%	(/.f64 (+.f64 (/.f64 #s(literal 5/81 binary64) (pow.f64 x #s(literal 2/3 binary64))) (+.f64 (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64))))) (*.f64 x x))
	50.2%	(/.f64 (+.f64 (/.f64 #s(literal 5/81 binary64) (pow.f64 x #s(literal 2/3 binary64))) (+.f64 (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (.f64 #s(literal 1/3 binary64) (.f64 (cbrt.f64 x) x)))) (.f64 x x))
	7.9%	(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal 1 binary64) x)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (cbrt.f64 x)) (cbrt.f64 (+.f64 #s(literal 1 binary64) x))))))
	21.0%	(/.f64 (+.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 (.f64 x x)))
	21.4%	(/.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))
	48.7%	(/.f64 (.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))))))) (.f64 x x))
	20.7%	(/.f64 (.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (.f64 x x))
	88.9%	(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/3 binary64)))
	96.7%	(/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
✓	88.9%	(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))
	20.9%	(/.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x (.f64 x x))))) (cbrt.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)))))
	15.3%	(/.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 4/3 binary64))))
	88.9%	(/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2/3 binary64))))
	50.4%	(/.f64 #s(literal 1/3 binary64) (.f64 (/.f64 (pow.f64 x #s(literal -1/3 binary64)) (cbrt.f64 #s(literal -1 binary64))) (/.f64 (cbrt.f64 (-.f64 #s(literal 0 binary64) (.f64 x x))) (pow.f64 x #s(literal -1/3 binary64)))))
	89.2%	(/.f64 #s(literal 1/3 binary64) (exp.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 x))))
	50.4%	(/.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 x x)))
✓	4.2%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))
✓	7.7%	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64)))
✓	6.6%	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
✓	1.8%	(-.f64 #s(literal 1 binary64) (cbrt.f64 x))
	51.1%	(+.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))))))
	88.9%	(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal -2/3 binary64)) #s(literal 1/3 binary64))
✓	88.9%	(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))
	88.9%	(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))) #s(literal 1/3 binary64))
	50.4%	(.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 (.f64 x x) #s(literal 1 binary64)))) #s(literal 1/3 binary64))
	31.4%	(.f64 (.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (cbrt.f64 x))
	89.2%	(.f64 (exp.f64 (.f64 #s(literal -2/3 binary64) (log.f64 x))) #s(literal 1/3 binary64))
	31.5%	(.f64 (cbrt.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x)) #s(literal 1/3 binary64))
	95.7%	(.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)))
✓	96.7%	(*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))
	96.4%	(.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (cbrt.f64 (pow.f64 x #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 1/2 binary64))))) (cbrt.f64 x)))
	96.4%	(.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (.f64 (cbrt.f64 (pow.f64 x #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 1/2 binary64))))))
	88.8%	(.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (.f64 x (pow.f64 x #s(literal -2/3 binary64)))))
✓	96.6%	(*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x)))
	96.1%	(.f64 #s(literal 1/3 binary64) (/.f64 (.f64 (cbrt.f64 (pow.f64 x #s(literal -1/2 binary64))) (cbrt.f64 (pow.f64 x #s(literal -1/2 binary64)))) (cbrt.f64 x)))
	96.5%	(*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 x)))
	50.1%	(.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 x))) (cbrt.f64 x))))
	49.0%	(.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 x (cbrt.f64 (-.f64 #s(literal 0 binary64) (.f64 x x))))))
	96.5%	(.f64 #s(literal 1/3 binary64) (.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))))
	50.9%	(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
✓	50.3%	(.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))
	50.9%	(.f64 #s(literal 1/3 binary64) (cbrt.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))))

Compiler

Compiled 1990 to 752 computations (62.2% saved)

regimes112.0ms (0.5%)

Counts

87 → 2

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) (cbrt.f64 (*.f64 x x)))
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))) #s(literal 1/3 binary64))
(/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 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 1/3 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 (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal -2/3 binary64)) #s(literal 1/3 binary64))
(.f64 #s(literal 1/3 binary64) (cbrt.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))))
(.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 (.f64 x x) #s(literal 1 binary64)))) #s(literal 1/3 binary64))
(.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (cbrt.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 x x))))))
(.f64 (cbrt.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x)) #s(literal 1/3 binary64))
(*.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 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))
(.f64 #s(literal 1/3 binary64) (exp.f64 (.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal -1/3 binary64))))
(*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 x)))
(*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x)))
(*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))))
(/.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 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (.f64 x (pow.f64 x #s(literal -2/3 binary64)))))
(.f64 (.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (cbrt.f64 x))
(.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 x (cbrt.f64 (-.f64 #s(literal 0 binary64) (.f64 x x))))))
(/.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 4/3 binary64))))
(/.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x (.f64 x x))))) (cbrt.f64 (-.f64 #s(literal 0 binary64) (.f64 x 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))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 3 binary64) (cbrt.f64 (*.f64 x x)))) #s(literal -1 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 1/2 binary64)) #s(literal 2/3 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)))
(/.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))
(.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 x))) (cbrt.f64 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))))))
(.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 x))) (cbrt.f64 (+.f64 #s(literal 0 binary64) x)))))
(/.f64 (+.f64 (/.f64 #s(literal 5/81 binary64) (pow.f64 x #s(literal 2/3 binary64))) (+.f64 (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64))))) (*.f64 x x))
(/.f64 (+.f64 (/.f64 #s(literal 5/81 binary64) (pow.f64 x #s(literal 2/3 binary64))) (+.f64 (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (.f64 #s(literal 1/3 binary64) (.f64 (cbrt.f64 x) x)))) (.f64 x x))
(/.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)) (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))))))
(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))))
(/.f64 (+.f64 (.f64 (.f64 #s(literal 1/3 binary64) x) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (.f64 (cbrt.f64 x) (+.f64 #s(literal 5/81 binary64) (.f64 x #s(literal -1/9 binary64))))) (.f64 x (.f64 x x)))
(/.f64 (+.f64 (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 (cbrt.f64 x) x)) (.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)))))) (.f64 x x))
(/.f64 (.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))))))) (.f64 x x))
(.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)))))))
(-.f64 (cbrt.f64 (exp.f64 (log1p.f64 x))) (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 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x)))) #s(literal -1 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)))
(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)))
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2/3 binary64))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x)))
(*.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/6 binary64))) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/6 binary64))))
(/.f64 #s(literal 1/3 binary64) (.f64 (/.f64 (pow.f64 x #s(literal -1/3 binary64)) (cbrt.f64 #s(literal -1 binary64))) (/.f64 (cbrt.f64 (-.f64 #s(literal 0 binary64) (.f64 x x))) (pow.f64 x #s(literal -1/3 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 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)))))) (*.f64 x x))
(/.f64 (+.f64 (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (+.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.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))
(/.f64 (+.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 (.f64 x x)))
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal 1 binary64) x)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (cbrt.f64 x)) (cbrt.f64 (+.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 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(.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) (/.f64 (.f64 (cbrt.f64 (pow.f64 x #s(literal -1/2 binary64))) (cbrt.f64 (pow.f64 x #s(literal -1/2 binary64)))) (cbrt.f64 x)))
(.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (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 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (cbrt.f64 (pow.f64 x #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 1/2 binary64))))) (cbrt.f64 x)))
(exp.f64 (neg.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (+.f64 (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 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 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 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 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 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 4/3 binary64)) (pow.f64 x #s(literal 4/3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 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 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)) (cbrt.f64 (.f64 x (+.f64 x #s(literal 1 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)) (cbrt.f64 (.f64 x (+.f64 x #s(literal 1 binary64))))))))
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 2/3 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 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)) (cbrt.f64 (.f64 x (+.f64 x #s(literal 1 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)) (cbrt.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))))))))
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 2/3 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x)))))
(/.f64 (-.f64 (pow.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)) (cbrt.f64 (.f64 x (+.f64 x #s(literal 1 binary64))))))) #s(literal 3 binary64)) (pow.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)) (cbrt.f64 (.f64 x (+.f64 x #s(literal 1 binary64))))))) #s(literal 3 binary64))) (+.f64 (pow.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)) (cbrt.f64 (.f64 x (+.f64 x #s(literal 1 binary64))))))) #s(literal 2 binary64)) (+.f64 (pow.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)) (cbrt.f64 (.f64 x (+.f64 x #s(literal 1 binary64))))))) #s(literal 2 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)) (cbrt.f64 (.f64 x (+.f64 x #s(literal 1 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)) (cbrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))))))))

Outputs

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

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

Calls

2 calls:

67.0ms	x
30.0ms	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))

Results

Accuracy	Segments	Branch
98.4%	2	`x`
98.4%	2	`(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes54.0ms (0.2%)

Counts

54 → 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) (cbrt.f64 (*.f64 x x)))
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))) #s(literal 1/3 binary64))
(/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 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 1/3 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 (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal -2/3 binary64)) #s(literal 1/3 binary64))
(.f64 #s(literal 1/3 binary64) (cbrt.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))))
(.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 (.f64 x x) #s(literal 1 binary64)))) #s(literal 1/3 binary64))
(.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (cbrt.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 x x))))))
(.f64 (cbrt.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x)) #s(literal 1/3 binary64))
(*.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 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))
(.f64 #s(literal 1/3 binary64) (exp.f64 (.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal -1/3 binary64))))
(*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 x)))
(*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x)))
(*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))))
(/.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 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (.f64 x (pow.f64 x #s(literal -2/3 binary64)))))
(.f64 (.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (cbrt.f64 x))
(.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 x (cbrt.f64 (-.f64 #s(literal 0 binary64) (.f64 x x))))))
(/.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 4/3 binary64))))
(/.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x (.f64 x x))))) (cbrt.f64 (-.f64 #s(literal 0 binary64) (.f64 x 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))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 3 binary64) (cbrt.f64 (*.f64 x x)))) #s(literal -1 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 1/2 binary64)) #s(literal 2/3 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)))
(/.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))
(.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 x))) (cbrt.f64 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))))))
(.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 x))) (cbrt.f64 (+.f64 #s(literal 0 binary64) x)))))
(/.f64 (+.f64 (/.f64 #s(literal 5/81 binary64) (pow.f64 x #s(literal 2/3 binary64))) (+.f64 (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64))))) (*.f64 x x))
(/.f64 (+.f64 (/.f64 #s(literal 5/81 binary64) (pow.f64 x #s(literal 2/3 binary64))) (+.f64 (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (.f64 #s(literal 1/3 binary64) (.f64 (cbrt.f64 x) x)))) (.f64 x x))

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

Calls

2 calls:

25.0ms	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
22.0ms	x

Results

Accuracy	Segments	Branch
96.7%	1	`x`
96.7%	1	`(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes14.0ms (0.1%)

Counts

15 → 2

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) (cbrt.f64 (*.f64 x x)))
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))) #s(literal 1/3 binary64))
(/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 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 1/3 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 (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal -2/3 binary64)) #s(literal 1/3 binary64))
(.f64 #s(literal 1/3 binary64) (cbrt.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))))
(.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 (.f64 x x) #s(literal 1 binary64)))) #s(literal 1/3 binary64))
(.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (cbrt.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 x x))))))
(.f64 (cbrt.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x)) #s(literal 1/3 binary64))

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

Calls

1 calls:

11.0ms

Results

Accuracy	Segments	Branch
92.2%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes7.0ms (0%)

Counts

10 → 2

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
92.2%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (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 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
88.9%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts

2 → 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))

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
88.9%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (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:

2.0ms

Results

Accuracy	Segments	Branch
1.8%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch2.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	5.820766091346741e-11	3.06863512378186e-9

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch46.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
40.0ms	7.087344205243903e+153	2.412886658453037e+157

Results

28.0ms

128×

valid

Compiler

Compiled 164 to 129 computations (21.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-cbrt: 7.0ms (44.1% of total)

ival-add: 3.0ms (18.9% of total)

ival-sub: 3.0ms (18.9% of total)

backward-pass: 3.0ms (18.9% of total)

const: 0.0ms (0% of total)

bsearch46.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
41.0ms	7.087344205243903e+153	2.412886658453037e+157

Results

29.0ms

128×

valid

Compiler

Compiled 132 to 105 computations (20.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-cbrt: 7.0ms (44.2% of total)

ival-add: 3.0ms (18.9% of total)

ival-sub: 3.0ms (18.9% of total)

backward-pass: 3.0ms (18.9% of total)

const: 0.0ms (0% of total)

simplify21.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

16×	`+-commutative_binary64`
12×	`*-commutative_binary64`
10×	`sub-neg_binary64`
4×	`neg-sub0_binary64`
4×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	92
1	55	92
2	62	92
3	66	92
4	68	92

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) #s(literal 7737125245533627/77371252455336267181195264 binary64)) (.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) (/.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)) (cbrt.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)))))))
(*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))
(if (<=.f64 x #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 (.f64 x x))) (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal -2/3 binary64)) #s(literal 1/3 binary64)))
(if (<=.f64 x #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 (.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 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))
(-.f64 #s(literal 1 binary64) (cbrt.f64 x))

Outputs
(if (<=.f64 (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) #s(literal 7737125245533627/77371252455336267181195264 binary64)) (.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) (/.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)) (cbrt.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)))))))
(if (<=.f64 (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) #s(literal 7737125245533627/77371252455336267181195264 binary64)) (.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (.f64 x (+.f64 x #s(literal 1 binary64))))))))
(*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))
(if (<=.f64 x #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 (.f64 x x))) (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal -2/3 binary64)) #s(literal 1/3 binary64)))
(if (<=.f64 x #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 (.f64 x x))) (.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal -2/3 binary64))))
(if (<=.f64 x #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 (.f64 x x))) (.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)))
(if (<=.f64 x #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 (.f64 x x))) (.f64 #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 (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))

soundness4.1s (18.8%)

Rules

4350×	`-lowering-.f32`
4350×	`-lowering-.f64`
4228×	`-lowering-.f32`
4228×	`-lowering-.f64`
3986×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	166	1571
1	424	1518
2	1180	1511
3	3430	1508
0	8347	1484
0	30	92
1	173	77
2	1189	77
0	8844	69
0	34	136
1	171	130
2	1285	128
0	8291	121
0	34	116
1	173	107
2	1302	106
0	8310	93
0	6	16
1	39	16
2	288	16
3	3370	16
0	8832	16
0	146	551
1	378	518
2	1079	511
3	3255	508
0	8048	508

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
1×	iter limit
1×	node limit

Compiler

Compiled 264 to 176 computations (33.3% saved)

preprocess148.0ms (0.7%)

Compiler: Compiled 254 to 112 computations (55.9% 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

analyze5.0ms (0%)

sample4.1s (18.6%)

preprocess85.0ms (0.4%)

explain266.0ms (1.2%)

eval1.0ms (0%)

prune2.0ms (0%)

simplify31.0ms (0.1%)

localize119.0ms (0.5%)

series78.0ms (0.4%)

rewrite581.0ms (2.7%)

simplify527.0ms (2.4%)

eval116.0ms (0.5%)

prune166.0ms (0.8%)

simplify313.0ms (1.4%)

localize1.3s (5.9%)

series266.0ms (1.2%)

rewrite867.0ms (4%)

simplify730.0ms (3.3%)

eval467.0ms (2.1%)

prune395.0ms (1.8%)

simplify333.0ms (1.5%)

localize942.0ms (4.3%)

series45.0ms (0.2%)

rewrite854.0ms (3.9%)

simplify645.0ms (2.9%)

eval325.0ms (1.5%)

prune292.0ms (1.3%)

simplify300.0ms (1.4%)

localize884.0ms (4%)

series111.0ms (0.5%)

rewrite775.0ms (3.5%)

simplify582.0ms (2.7%)

eval426.0ms (1.9%)

prune448.0ms (2%)

regimes112.0ms (0.5%)

regimes54.0ms (0.2%)

regimes14.0ms (0.1%)

regimes7.0ms (0%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes3.0ms (0%)

bsearch2.0ms (0%)

bsearch46.0ms (0.2%)

bsearch46.0ms (0.2%)

simplify21.0ms (0.1%)

soundness4.1s (18.8%)

preprocess148.0ms (0.7%)

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