Metrics for 2cbrt (problem 3.3.4)

analyze2.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

Precisions

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

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

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

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

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

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

const: 0.0ms (0% of total)

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

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

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

sample1.8s (19.5%)

Results

767.0ms	3374×	2	valid
716.0ms	4702×	1	valid
13.0ms	180×	0	valid

Precisions

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

ival-cbrt: 331.0ms (30.3% of total)

ival-add: 171.0ms (15.7% of total)

...c/correct-round.rkt:119:19: 162.0ms (14.8% of total)

backward-pass: 139.0ms (12.7% of total)

ival-sub: 109.0ms (10% of total)

ival->: 103.0ms (9.4% of total)

ival-<: 34.0ms (3.1% of total)

ival-and: 26.0ms (2.4% of total)

const: 16.0ms (1.5% of total)

Bogosity

preprocess37.0ms (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)))

explain122.0ms (1.3%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
255	-	-	`(-.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

47.0ms	222×	2	valid
37.0ms	286×	1	valid
0.0ms	4×	0	valid

Compiler

Compiled 48 to 20 computations (58.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-cbrt: 20.0ms (42.2% of total)

backward-pass: 11.0ms (23.2% of total)

ival-add: 8.0ms (16.9% of total)

ival-sub: 7.0ms (14.8% of total)

const: 1.0ms (2.1% of total)

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	5.3%	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))

Compiler

Compiled 8 to 6 computations (25% saved)

simplify15.0ms (0.2%)

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)

localize56.0ms (0.6%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 x #s(literal 1 binary64))
✓	accuracy	99.2%	(cbrt.f64 x)
✓	accuracy	99.2%	(cbrt.f64 (+.f64 x #s(literal 1 binary64)))
✓	accuracy	5.4%	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))

Results

26.0ms	111×	2	valid
18.0ms	143×	1	valid
0.0ms	2×	0	valid

Compiler

Compiled 20 to 7 computations (65% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-cbrt: 9.0ms (41.2% of total)

backward-pass: 5.0ms (22.9% of total)

ival-add: 4.0ms (18.3% of total)

ival-sub: 3.0ms (13.7% of total)

const: 1.0ms (4.6% of total)

series12.0ms (0.1%)

Counts

4 → 48

Calls

Call 1

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

Outputs
#<alt (- 1 (cbrt x))>
#<alt (- (+ 1 (* 1/3 x)) (cbrt x))>
#<alt (- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))>
#<alt (- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))>
#<alt (/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2))>
#<alt (/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2))>
#<alt (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))>
#<alt (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))>
#<alt 1>
#<alt (+ 1 (* 1/3 x))>
#<alt (+ 1 (* x (+ 1/3 (* -1/9 x))))>
#<alt (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9)))))>
#<alt (cbrt x)>
#<alt (* x (+ (cbrt (/ 1 (pow x 2))) (* 1/3 (cbrt (/ 1 (pow x 5))))))>
#<alt (* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))))>
#<alt (* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 5/81 (cbrt (/ 1 (pow x 11)))) (* 1/3 (cbrt (/ 1 (pow x 5))))))))>
#<alt (* -1 (* (cbrt x) (cbrt -1)))>
#<alt (* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (* -1 (* (cbrt x) (cbrt -1)))>
#<alt (* -1 (* (cbrt x) (cbrt -1)))>
#<alt (* -1 (* (cbrt x) (cbrt -1)))>
#<alt (* -1 (* (cbrt x) (cbrt -1)))>

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	(- (cbrt (+ x 1)) (cbrt x))
3.0ms	x	@	inf	(- (cbrt (+ x 1)) (cbrt x))
1.0ms	x	@	0	(cbrt x)
1.0ms	x	@	inf	(cbrt x)
1.0ms	x	@	-inf	(cbrt x)

rewrite236.0ms (2.5%)

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)))

simplify202.0ms (2.2%)

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)))

eval38.0ms (0.4%)

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

prune71.0ms (0.8%)

Pruning

22 alts after pruning (21 fresh and 1 done)

	Pruned	Kept	Total
New	300	21	321
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	300	22	322

Accuracy

49.0%

Counts

322 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	4.6%	(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)))))
	5.0%	(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)))))
	2.9%	(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)))
▶	5.4%	(/.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)))
	22.1%	(/.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))
▶	22.0%	(/.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))
	2.9%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))
▶	3.9%	(-.f64 (exp.f64 (*.f64 #s(literal 1/3 binary64) (log1p.f64 x))) (cbrt.f64 x))
	5.1%	(-.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))
	5.3%	(-.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) (cbrt.f64 x))
	6.4%	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 2/3 binary64)))
	6.4%	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)))
	6.4%	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64)))
	6.4%	(-.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))))
	5.4%	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (exp.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 x))))
✓	5.3%	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
	4.0%	(-.f64 (cbrt.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (.f64 x x) #s(literal -1 binary64)))) (cbrt.f64 x))
	4.8%	(-.f64 (cbrt.f64 (exp.f64 (log1p.f64 x))) (cbrt.f64 x))
▶	1.8%	(-.f64 #s(literal 1 binary64) (cbrt.f64 x))
	5.4%	(*.f64 (+.f64 (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))))
▶	48.1%	(.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))
	1.1%	(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 628 to 412 computations (34.4% saved)

simplify146.0ms (1.6%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2/3 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	64	(/.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)))
✓	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 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))))
✓	cost-diff	0	(/.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))
✓	cost-diff	0	(log1p.f64 x)
✓	cost-diff	0	(*.f64 #s(literal 1/3 binary64) (log1p.f64 x))
✓	cost-diff	6400	(exp.f64 (*.f64 #s(literal 1/3 binary64) (log1p.f64 x)))
✓	cost-diff	6400	(-.f64 (exp.f64 (*.f64 #s(literal 1/3 binary64) (log1p.f64 x))) (cbrt.f64 x))
✓	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

2092×	`fmm-def`
1972×	`sum3-define`
1858×	`fmsub-define`
1760×	`fnmsub-define`
1436×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	17179869304
1	57	17179869301
2	75	17179869301
3	100	17179869301
4	145	17179869301
5	253	17179869301
6	483	17179869301
7	801	17179869301
8	1353	17179869301
9	2237	17179869301
10	2819	17179869301
11	2946	17179869301
12	3469	17179869301
13	3954	17179869301
14	5687	17179869301
15	7767	17179869301
0	8004	155

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

localize1.2s (12.3%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(cbrt.f64 x)
✓	accuracy	100.0%	(pow.f64 x #s(literal 2/3 binary64))
✓	accuracy	100.0%	(/.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)))
✓	accuracy	100.0%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2/3 binary64)))
✓	accuracy	100.0%	(cbrt.f64 x)
✓	accuracy	100.0%	(*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))
✓	accuracy	100.0%	(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))
✓	accuracy	100.0%	(cbrt.f64 (pow.f64 x #s(literal 4 binary64)))
✓	accuracy	100.0%	(log1p.f64 x)
✓	accuracy	100.0%	(exp.f64 (*.f64 #s(literal 1/3 binary64) (log1p.f64 x)))
✓	accuracy	100.0%	(cbrt.f64 x)
✓	accuracy	100.0%	(-.f64 (exp.f64 (*.f64 #s(literal 1/3 binary64) (log1p.f64 x))) (cbrt.f64 x))
✓	accuracy	100.0%	(cbrt.f64 x)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (cbrt.f64 x))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (*.f64 x x))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))
✓	accuracy	100.0%	(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))

Results

1.1s	255×	5	exit
0.0ms	1×	0	valid

Compiler

Compiled 167 to 30 computations (82% saved)

Precisions

Click to see histograms. Total time spent on operations: 903.0ms

ival-exp: 256.0ms (28.3% of total)

backward-pass: 232.0ms (25.7% of total)

ival-pow: 151.0ms (16.7% of total)

...c/correct-round.rkt:119:19: 76.0ms (8.4% of total)

ival-mult: 50.0ms (5.5% of total)

ival-cbrt: 36.0ms (4% of total)

ival-div: 26.0ms (2.9% of total)

compiled-spec: 23.0ms (2.5% of total)

ival-sub: 23.0ms (2.5% of total)

ival-add: 23.0ms (2.5% of total)

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

const: 2.0ms (0.2% of total)

series40.0ms (0.4%)

Counts

20 → 240

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

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))))>
#<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 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 (* 1/3 x)>
#<alt (* x (+ 1/3 (* -1/6 x)))>
#<alt (* x (+ 1/3 (* x (- (* 1/9 x) 1/6))))>
#<alt (* x (+ 1/3 (* x (- (* x (+ 1/9 (* -1/12 x))) 1/6))))>
#<alt (* -1/3 (log (/ 1 x)))>
#<alt (+ (* -1/3 (log (/ 1 x))) (* 1/3 (/ 1 x)))>
#<alt (- (+ (* -1/3 (log (/ 1 x))) (* 1/3 (/ 1 x))) (/ 1/6 (pow x 2)))>
#<alt (- (+ (* -1/3 (log (/ 1 x))) (+ (* 1/3 (/ 1 x)) (* 1/9 (/ 1 (pow x 3))))) (/ 1/6 (pow x 2)))>
#<alt (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))>
#<alt (+ (* 1/3 (+ (log -1) (* -1 (log (/ -1 x))))) (* 1/3 (/ 1 x)))>
#<alt (+ (* -1 (/ (- (* 1/6 (/ 1 x)) 1/3) x)) (* 1/3 (+ (log -1) (* -1 (log (/ -1 x))))))>
#<alt (+ (* -1 (/ (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1/6) x)) 1/3) x)) (* 1/3 (+ (log -1) (* -1 (log (/ -1 x))))))>
#<alt x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))>
#<alt (* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (* -1 (log (/ 1 x))) (/ 1 x))>
#<alt (- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))>
#<alt (- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))>
#<alt (* -1/9 (cbrt (/ 1 (pow x 5))))>
#<alt (/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))>
#<alt (/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))>
#<alt (/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))>
#<alt (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))>
#<alt (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2)))))>
#<alt (+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2)))))>
#<alt (+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2)))))>
#<alt (* -1/9 (cbrt x))>
#<alt (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4))))>
#<alt (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4))))>
#<alt (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4))))>
#<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)))) (* 1/3 (cbrt (/ 1 (pow x 2))))))>
#<alt (* (pow x 2) (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 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) (+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2))))))>
#<alt (* (pow x 2) (+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 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 (/ (- 1 (cbrt (pow x 2))) (+ 1 (cbrt x)))>
#<alt (- (+ (* x (- (* 2/3 (/ 1 (+ 1 (cbrt x)))) (* 1/3 (/ (- 1 (cbrt (pow x 2))) (pow (+ 1 (cbrt x)) 2))))) (/ 1 (+ 1 (cbrt x)))) (* (cbrt (pow x 2)) (/ 1 (+ 1 (cbrt x)))))>
#<alt (- (+ (* x (- (+ (* -1 (* x (+ (* -1/9 (/ (- 1 (cbrt (pow x 2))) (pow (+ 1 (cbrt x)) 2))) (+ (* 1/9 (/ 1 (+ 1 (cbrt x)))) (* 1/3 (/ (- (* 2/3 (/ 1 (+ 1 (cbrt x)))) (* 1/3 (/ (- 1 (cbrt (pow x 2))) (pow (+ 1 (cbrt x)) 2)))) (+ 1 (cbrt x)))))))) (* 2/3 (/ 1 (+ 1 (cbrt x))))) (* 1/3 (/ (- 1 (cbrt (pow x 2))) (pow (+ 1 (cbrt x)) 2))))) (/ 1 (+ 1 (cbrt x)))) (* (cbrt (pow x 2)) (/ 1 (+ 1 (cbrt x)))))>
#<alt (- (+ (* x (- (+ (* 2/3 (/ 1 (+ 1 (cbrt x)))) (* x (- (* x (- (* 4/81 (/ 1 (+ 1 (cbrt x)))) (+ (* -1/3 (/ (+ (* -1/9 (/ (- 1 (cbrt (pow x 2))) (pow (+ 1 (cbrt x)) 2))) (+ (* 1/9 (/ 1 (+ 1 (cbrt x)))) (* 1/3 (/ (- (* 2/3 (/ 1 (+ 1 (cbrt x)))) (* 1/3 (/ (- 1 (cbrt (pow x 2))) (pow (+ 1 (cbrt x)) 2)))) (+ 1 (cbrt x)))))) (+ 1 (cbrt x)))) (+ (* -1/9 (/ (- (* 2/3 (/ 1 (+ 1 (cbrt x)))) (* 1/3 (/ (- 1 (cbrt (pow x 2))) (pow (+ 1 (cbrt x)) 2)))) (+ 1 (cbrt x)))) (* 5/81 (/ (- 1 (cbrt (pow x 2))) (pow (+ 1 (cbrt x)) 2))))))) (+ (* -1/9 (/ (- 1 (cbrt (pow x 2))) (pow (+ 1 (cbrt x)) 2))) (+ (* 1/9 (/ 1 (+ 1 (cbrt x)))) (* 1/3 (/ (- (* 2/3 (/ 1 (+ 1 (cbrt x)))) (* 1/3 (/ (- 1 (cbrt (pow x 2))) (pow (+ 1 (cbrt x)) 2)))) (+ 1 (cbrt x))))))))) (* 1/3 (/ (- 1 (cbrt (pow x 2))) (pow (+ 1 (cbrt x)) 2))))) (/ 1 (+ 1 (cbrt x)))) (* (cbrt (pow x 2)) (/ 1 (+ 1 (cbrt x)))))>
#<alt (* 1/2 (* (cbrt (pow x 2)) (- (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))))>
#<alt (- (+ (* 1/6 (cbrt (/ 1 (* (pow x 7) (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (* 1/2 (* (cbrt (pow x 2)) (- (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))))) (* 1/12 (* (cbrt (/ 1 x)) (- (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))))))>
#<alt (- (+ (* -1/18 (cbrt (/ 1 (* (pow x 16) (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (+ (* 1/6 (cbrt (/ 1 (* (pow x 7) (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (* 1/2 (* (cbrt (pow x 2)) (- (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))))))) (+ (* -1/36 (* (cbrt (/ 1 (pow x 4))) (- (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))))) (+ (* 1/12 (* (cbrt (/ 1 x)) (- (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))))) (* 1/6 (/ (- (* 1/6 (cbrt (/ (pow x 2) (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2)))) (* 1/12 (* (cbrt (pow x 8)) (- (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))))) (pow x 4))))))>
#<alt (- (+ (* -1/18 (cbrt (/ 1 (* (pow x 16) (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (+ (* 5/162 (cbrt (/ 1 (* (pow x 25) (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 8))))) (+ (* 1/6 (cbrt (/ 1 (* (pow x 7) (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (* 1/2 (* (cbrt (pow x 2)) (- (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))))))) (+ (* -1/18 (/ (- (* 1/6 (cbrt (/ (pow x 2) (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2)))) (* 1/12 (* (cbrt (pow x 8)) (- (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))))) (pow x 5))) (+ (* -1/36 (* (cbrt (/ 1 (pow x 4))) (- (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))))) (+ (* 5/324 (* (cbrt (/ 1 (pow x 7))) (- (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))))) (+ (* 1/12 (* (cbrt (/ 1 x)) (- (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))))) (+ (* 1/6 (/ (- (* -1/18 (cbrt (/ (pow x 2) (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5)))) (+ (* -1/36 (* (cbrt (pow x 14)) (- (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))))) (* 1/6 (* (pow x 2) (- (* 1/6 (cbrt (/ (pow x 2) (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2)))) (* 1/12 (* (cbrt (pow x 8)) (- (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))))))))) (pow x 7))) (* 1/6 (/ (- (* 1/6 (cbrt (/ (pow x 2) (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2)))) (* 1/12 (* (cbrt (pow x 8)) (- (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))))) (pow x 4)))))))))>
#<alt (* 1/2 (* (cbrt (pow x 2)) (/ (- (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (cbrt -1))) (cbrt -1))))>
#<alt (+ (* -1 (/ (- (* 1/6 (* (cbrt (/ (pow x 2) (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))) (/ 1 (cbrt -1)))) (* 1/12 (* (cbrt (pow x 8)) (/ (- (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (cbrt -1))) (pow (cbrt -1) 4))))) (pow x 3))) (* 1/2 (* (cbrt (pow x 2)) (/ (- (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (cbrt -1))) (cbrt -1)))))>
#<alt (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/18 (cbrt (/ (pow x 2) (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5)))) (+ (* -1/36 (* (cbrt (pow x 14)) (/ (- (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (cbrt -1))) (pow (cbrt -1) 7)))) (* 1/6 (/ (* (pow x 2) (- (* 1/6 (* (cbrt (/ (pow x 2) (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))) (/ 1 (cbrt -1)))) (* 1/12 (* (cbrt (pow x 8)) (/ (- (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (cbrt -1))) (pow (cbrt -1) 4)))))) (pow (cbrt -1) 3))))) (pow x 3))) (* 1/6 (* (cbrt (/ (pow x 2) (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))) (/ 1 (cbrt -1))))) (* 1/12 (* (cbrt (pow x 8)) (/ (- (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (cbrt -1))) (pow (cbrt -1) 4))))) (pow x 3))) (* 1/2 (* (cbrt (pow x 2)) (/ (- (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (cbrt -1))) (cbrt -1)))))>
#<alt (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 5/162 (* (cbrt (/ (pow x 2) (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 8))) (/ 1 (cbrt -1)))) (+ (* -1/18 (/ (* (pow x 4) (- (* 1/6 (* (cbrt (/ (pow x 2) (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))) (/ 1 (cbrt -1)))) (* 1/12 (* (cbrt (pow x 8)) (/ (- (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (cbrt -1))) (pow (cbrt -1) 4)))))) (pow (cbrt -1) 6))) (+ (* 5/324 (* (cbrt (pow x 20)) (/ (- (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (cbrt -1))) (pow (cbrt -1) 10)))) (* 1/6 (/ (* (pow x 2) (- (* -1/18 (cbrt (/ (pow x 2) (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5)))) (+ (* -1/36 (* (cbrt (pow x 14)) (/ (- (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (cbrt -1))) (pow (cbrt -1) 7)))) (* 1/6 (/ (* (pow x 2) (- (* 1/6 (* (cbrt (/ (pow x 2) (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))) (/ 1 (cbrt -1)))) (* 1/12 (* (cbrt (pow x 8)) (/ (- (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (cbrt -1))) (pow (cbrt -1) 4)))))) (pow (cbrt -1) 3)))))) (pow (cbrt -1) 3)))))) (pow x 3))) (* -1/18 (cbrt (/ (pow x 2) (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (+ (* -1/36 (* (cbrt (pow x 14)) (/ (- (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (cbrt -1))) (pow (cbrt -1) 7)))) (* 1/6 (/ (* (pow x 2) (- (* 1/6 (* (cbrt (/ (pow x 2) (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))) (/ 1 (cbrt -1)))) (* 1/12 (* (cbrt (pow x 8)) (/ (- (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (cbrt -1))) (pow (cbrt -1) 4)))))) (pow (cbrt -1) 3))))) (pow x 3))) (* 1/6 (* (cbrt (/ (pow x 2) (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))) (/ 1 (cbrt -1))))) (* 1/12 (* (cbrt (pow x 8)) (/ (- (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (cbrt -1))) (pow (cbrt -1) 4))))) (pow x 3))) (* 1/2 (* (cbrt (pow x 2)) (/ (- (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (cbrt -1))) (cbrt -1)))))>
#<alt (+ 1 (cbrt x))>
#<alt (+ 1 (+ (cbrt x) (* 1/3 x)))>
#<alt (+ 1 (+ (cbrt x) (* x (+ 1/3 (* -1/9 x)))))>
#<alt (+ 1 (+ (cbrt x) (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))))>
#<alt (* 2 (cbrt x))>
#<alt (* x (+ (* 1/3 (cbrt (/ 1 (pow x 5)))) (* 2 (cbrt (/ 1 (pow x 2))))))>
#<alt (* x (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 1/3 (cbrt (/ 1 (pow x 5)))) (* 2 (cbrt (/ 1 (pow x 2)))))))>
#<alt (* x (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 5/81 (cbrt (/ 1 (pow x 11)))) (+ (* 1/3 (cbrt (/ 1 (pow x 5)))) (* 2 (cbrt (/ 1 (pow x 2))))))))>
#<alt (* -2 (* (cbrt x) (cbrt -1)))>
#<alt (* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* 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))) (* 2 (* (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))) (* 2 (* (cbrt (/ 1 (pow x 2))) (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 (cbrt (pow x 2)))>
#<alt (- (+ 1 (* 2/3 x)) (cbrt (pow x 2)))>
#<alt (- (+ 1 (* x (+ 2/3 (* -1/9 x)))) (cbrt (pow x 2)))>
#<alt (- (+ 1 (* x (+ 2/3 (* x (- (* 4/81 x) 1/9))))) (cbrt (pow x 2)))>
#<alt (* x (- (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))))>
#<alt (* x (- (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2)))))) (cbrt (/ 1 x))))>
#<alt (* x (- (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (* -1/9 (* (/ 1 (pow x 6)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))))) (cbrt (/ 1 x))))>
#<alt (* x (- (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (* -1/9 (* (/ 1 (pow x 6)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (+ (* 5/81 (* (/ 1 (pow x 9)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 8))))) (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2)))))))) (cbrt (/ 1 x))))>
#<alt (* -1 (* x (- (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (cbrt -1)))))>
#<alt (* -1 (* x (- (+ (* -1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))))) (* (cbrt (/ 1 x)) (cbrt -1)))))>
#<alt (* -1 (* x (- (+ (* -1 (/ (+ (* 1/9 (* (/ (cbrt -1) (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (* 1/3 (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (pow x 3))) (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))))) (* (cbrt (/ 1 x)) (cbrt -1)))))>
#<alt (* -1 (* x (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt -1) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (* -5/81 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 8)))))) (pow x 3))) (* 1/3 (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (pow x 3))) (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))))) (* (cbrt (/ 1 x)) (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))>
#<alt (* 1/3 (cbrt (pow x 4)))>
#<alt (* 1/3 (cbrt (pow x 4)))>
#<alt (* 1/3 (cbrt (pow x 4)))>
#<alt (* 1/3 (cbrt (pow x 4)))>
#<alt (* 1/3 (cbrt (pow x 4)))>
#<alt (* 1/3 (cbrt (pow x 4)))>
#<alt (* 1/3 (cbrt (pow x 4)))>
#<alt (* 1/3 (cbrt (pow x 4)))>
#<alt (* 1/3 (cbrt (pow x 4)))>
#<alt (* 1/3 (cbrt (pow x 4)))>
#<alt (* 1/3 (cbrt (pow x 4)))>
#<alt (* 1/3 (cbrt (pow x 4)))>
#<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)))>

Calls

60 calls:

Time	Variable		Point	Expression
6.0ms	x	@	0	(/ (+ (* (cbrt x) -1/9) (* 1/3 (cbrt (pow x 4)))) (* x x))
5.0ms	x	@	-inf	(/ (- (pow (+ x 1) 2/3) (pow x 2/3)) (+ (pow (+ x 1) 1/3) (cbrt x)))
4.0ms	x	@	inf	(/ (- (pow (+ x 1) 2/3) (pow x 2/3)) (+ (pow (+ x 1) 1/3) (cbrt x)))
3.0ms	x	@	-inf	(- (pow (+ x 1) 2/3) (pow x 2/3))
2.0ms	x	@	-inf	(* 1/3 (log (+ 1 x)))

rewrite348.0ms (3.7%)

Algorithm

1×	batch-egg-rewrite

Rules

3184×	`/-lowering-/.f32`
3184×	`/-lowering-/.f64`
3114×	`-lowering-.f32`
3114×	`-lowering-.f64`
1950×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	114
1	186	109
2	1336	109
0	8418	101

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 843

Calls

Call 1

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

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

simplify324.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

4122×	`-lowering-.f32`
4122×	`-lowering-.f64`
2506×	`+-lowering-+.f64`
2506×	`+-lowering-+.f32`
1610×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	541	4196
1	1661	3979
2	5549	3935
0	8212	3935

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 240

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))
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)))))
(* 1/3 x)
(* x (+ 1/3 (* -1/6 x)))
(* x (+ 1/3 (* x (- (* 1/9 x) 1/6))))
(* x (+ 1/3 (* x (- (* x (+ 1/9 (* -1/12 x))) 1/6))))
(* -1/3 (log (/ 1 x)))
(+ (* -1/3 (log (/ 1 x))) (* 1/3 (/ 1 x)))
(- (+ (* -1/3 (log (/ 1 x))) (* 1/3 (/ 1 x))) (/ 1/6 (pow x 2)))
(- (+ (* -1/3 (log (/ 1 x))) (+ (* 1/3 (/ 1 x)) (* 1/9 (/ 1 (pow x 3))))) (/ 1/6 (pow x 2)))
(* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))
(+ (* 1/3 (+ (log -1) (* -1 (log (/ -1 x))))) (* 1/3 (/ 1 x)))
(+ (* -1 (/ (- (* 1/6 (/ 1 x)) 1/3) x)) (* 1/3 (+ (log -1) (* -1 (log (/ -1 x))))))
(+ (* -1 (/ (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1/6) x)) 1/3) x)) (* 1/3 (+ (log -1) (* -1 (log (/ -1 x))))))
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ 1 x))
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
(* -1/9 (cbrt (/ 1 (pow x 5))))
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))
(+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))
(+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2)))))
(+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2)))))
(+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2)))))
(* -1/9 (cbrt x))
(+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4))))
(+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4))))
(+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4))))
(* 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)))) (* 1/3 (cbrt (/ 1 (pow x 2))))))
(* (pow x 2) (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 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) (+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2))))))
(* (pow x 2) (+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 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)))
(/ (- 1 (cbrt (pow x 2))) (+ 1 (cbrt x)))
(- (+ (* x (- (* 2/3 (/ 1 (+ 1 (cbrt x)))) (* 1/3 (/ (- 1 (cbrt (pow x 2))) (pow (+ 1 (cbrt x)) 2))))) (/ 1 (+ 1 (cbrt x)))) (* (cbrt (pow x 2)) (/ 1 (+ 1 (cbrt x)))))
(- (+ (* x (- (+ (* -1 (* x (+ (* -1/9 (/ (- 1 (cbrt (pow x 2))) (pow (+ 1 (cbrt x)) 2))) (+ (* 1/9 (/ 1 (+ 1 (cbrt x)))) (* 1/3 (/ (- (* 2/3 (/ 1 (+ 1 (cbrt x)))) (* 1/3 (/ (- 1 (cbrt (pow x 2))) (pow (+ 1 (cbrt x)) 2)))) (+ 1 (cbrt x)))))))) (* 2/3 (/ 1 (+ 1 (cbrt x))))) (* 1/3 (/ (- 1 (cbrt (pow x 2))) (pow (+ 1 (cbrt x)) 2))))) (/ 1 (+ 1 (cbrt x)))) (* (cbrt (pow x 2)) (/ 1 (+ 1 (cbrt x)))))
(- (+ (* x (- (+ (* 2/3 (/ 1 (+ 1 (cbrt x)))) (* x (- (* x (- (* 4/81 (/ 1 (+ 1 (cbrt x)))) (+ (* -1/3 (/ (+ (* -1/9 (/ (- 1 (cbrt (pow x 2))) (pow (+ 1 (cbrt x)) 2))) (+ (* 1/9 (/ 1 (+ 1 (cbrt x)))) (* 1/3 (/ (- (* 2/3 (/ 1 (+ 1 (cbrt x)))) (* 1/3 (/ (- 1 (cbrt (pow x 2))) (pow (+ 1 (cbrt x)) 2)))) (+ 1 (cbrt x)))))) (+ 1 (cbrt x)))) (+ (* -1/9 (/ (- (* 2/3 (/ 1 (+ 1 (cbrt x)))) (* 1/3 (/ (- 1 (cbrt (pow x 2))) (pow (+ 1 (cbrt x)) 2)))) (+ 1 (cbrt x)))) (* 5/81 (/ (- 1 (cbrt (pow x 2))) (pow (+ 1 (cbrt x)) 2))))))) (+ (* -1/9 (/ (- 1 (cbrt (pow x 2))) (pow (+ 1 (cbrt x)) 2))) (+ (* 1/9 (/ 1 (+ 1 (cbrt x)))) (* 1/3 (/ (- (* 2/3 (/ 1 (+ 1 (cbrt x)))) (* 1/3 (/ (- 1 (cbrt (pow x 2))) (pow (+ 1 (cbrt x)) 2)))) (+ 1 (cbrt x))))))))) (* 1/3 (/ (- 1 (cbrt (pow x 2))) (pow (+ 1 (cbrt x)) 2))))) (/ 1 (+ 1 (cbrt x)))) (* (cbrt (pow x 2)) (/ 1 (+ 1 (cbrt x)))))
(* 1/2 (* (cbrt (pow x 2)) (- (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))))
(- (+ (* 1/6 (cbrt (/ 1 (* (pow x 7) (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (* 1/2 (* (cbrt (pow x 2)) (- (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))))) (* 1/12 (* (cbrt (/ 1 x)) (- (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))))))
(- (+ (* -1/18 (cbrt (/ 1 (* (pow x 16) (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (+ (* 1/6 (cbrt (/ 1 (* (pow x 7) (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (* 1/2 (* (cbrt (pow x 2)) (- (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))))))) (+ (* -1/36 (* (cbrt (/ 1 (pow x 4))) (- (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))))) (+ (* 1/12 (* (cbrt (/ 1 x)) (- (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))))) (* 1/6 (/ (- (* 1/6 (cbrt (/ (pow x 2) (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2)))) (* 1/12 (* (cbrt (pow x 8)) (- (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))))) (pow x 4))))))
(- (+ (* -1/18 (cbrt (/ 1 (* (pow x 16) (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (+ (* 5/162 (cbrt (/ 1 (* (pow x 25) (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 8))))) (+ (* 1/6 (cbrt (/ 1 (* (pow x 7) (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (* 1/2 (* (cbrt (pow x 2)) (- (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))))))) (+ (* -1/18 (/ (- (* 1/6 (cbrt (/ (pow x 2) (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2)))) (* 1/12 (* (cbrt (pow x 8)) (- (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))))) (pow x 5))) (+ (* -1/36 (* (cbrt (/ 1 (pow x 4))) (- (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))))) (+ (* 5/324 (* (cbrt (/ 1 (pow x 7))) (- (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))))) (+ (* 1/12 (* (cbrt (/ 1 x)) (- (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))))) (+ (* 1/6 (/ (- (* -1/18 (cbrt (/ (pow x 2) (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5)))) (+ (* -1/36 (* (cbrt (pow x 14)) (- (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))))) (* 1/6 (* (pow x 2) (- (* 1/6 (cbrt (/ (pow x 2) (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2)))) (* 1/12 (* (cbrt (pow x 8)) (- (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))))))))) (pow x 7))) (* 1/6 (/ (- (* 1/6 (cbrt (/ (pow x 2) (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2)))) (* 1/12 (* (cbrt (pow x 8)) (- (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))))) (pow x 4)))))))))
(* 1/2 (* (cbrt (pow x 2)) (/ (- (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (cbrt -1))) (cbrt -1))))
(+ (* -1 (/ (- (* 1/6 (* (cbrt (/ (pow x 2) (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))) (/ 1 (cbrt -1)))) (* 1/12 (* (cbrt (pow x 8)) (/ (- (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (cbrt -1))) (pow (cbrt -1) 4))))) (pow x 3))) (* 1/2 (* (cbrt (pow x 2)) (/ (- (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (cbrt -1))) (cbrt -1)))))
(+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/18 (cbrt (/ (pow x 2) (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5)))) (+ (* -1/36 (* (cbrt (pow x 14)) (/ (- (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (cbrt -1))) (pow (cbrt -1) 7)))) (* 1/6 (/ (* (pow x 2) (- (* 1/6 (* (cbrt (/ (pow x 2) (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))) (/ 1 (cbrt -1)))) (* 1/12 (* (cbrt (pow x 8)) (/ (- (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (cbrt -1))) (pow (cbrt -1) 4)))))) (pow (cbrt -1) 3))))) (pow x 3))) (* 1/6 (* (cbrt (/ (pow x 2) (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))) (/ 1 (cbrt -1))))) (* 1/12 (* (cbrt (pow x 8)) (/ (- (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (cbrt -1))) (pow (cbrt -1) 4))))) (pow x 3))) (* 1/2 (* (cbrt (pow x 2)) (/ (- (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (cbrt -1))) (cbrt -1)))))
(+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 5/162 (* (cbrt (/ (pow x 2) (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 8))) (/ 1 (cbrt -1)))) (+ (* -1/18 (/ (* (pow x 4) (- (* 1/6 (* (cbrt (/ (pow x 2) (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))) (/ 1 (cbrt -1)))) (* 1/12 (* (cbrt (pow x 8)) (/ (- (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (cbrt -1))) (pow (cbrt -1) 4)))))) (pow (cbrt -1) 6))) (+ (* 5/324 (* (cbrt (pow x 20)) (/ (- (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (cbrt -1))) (pow (cbrt -1) 10)))) (* 1/6 (/ (* (pow x 2) (- (* -1/18 (cbrt (/ (pow x 2) (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5)))) (+ (* -1/36 (* (cbrt (pow x 14)) (/ (- (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (cbrt -1))) (pow (cbrt -1) 7)))) (* 1/6 (/ (* (pow x 2) (- (* 1/6 (* (cbrt (/ (pow x 2) (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))) (/ 1 (cbrt -1)))) (* 1/12 (* (cbrt (pow x 8)) (/ (- (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (cbrt -1))) (pow (cbrt -1) 4)))))) (pow (cbrt -1) 3)))))) (pow (cbrt -1) 3)))))) (pow x 3))) (* -1/18 (cbrt (/ (pow x 2) (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (+ (* -1/36 (* (cbrt (pow x 14)) (/ (- (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (cbrt -1))) (pow (cbrt -1) 7)))) (* 1/6 (/ (* (pow x 2) (- (* 1/6 (* (cbrt (/ (pow x 2) (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))) (/ 1 (cbrt -1)))) (* 1/12 (* (cbrt (pow x 8)) (/ (- (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (cbrt -1))) (pow (cbrt -1) 4)))))) (pow (cbrt -1) 3))))) (pow x 3))) (* 1/6 (* (cbrt (/ (pow x 2) (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))) (/ 1 (cbrt -1))))) (* 1/12 (* (cbrt (pow x 8)) (/ (- (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (cbrt -1))) (pow (cbrt -1) 4))))) (pow x 3))) (* 1/2 (* (cbrt (pow x 2)) (/ (- (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (cbrt -1))) (cbrt -1)))))
(+ 1 (cbrt x))
(+ 1 (+ (cbrt x) (* 1/3 x)))
(+ 1 (+ (cbrt x) (* x (+ 1/3 (* -1/9 x)))))
(+ 1 (+ (cbrt x) (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))))
(* 2 (cbrt x))
(* x (+ (* 1/3 (cbrt (/ 1 (pow x 5)))) (* 2 (cbrt (/ 1 (pow x 2))))))
(* x (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 1/3 (cbrt (/ 1 (pow x 5)))) (* 2 (cbrt (/ 1 (pow x 2)))))))
(* x (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 5/81 (cbrt (/ 1 (pow x 11)))) (+ (* 1/3 (cbrt (/ 1 (pow x 5)))) (* 2 (cbrt (/ 1 (pow x 2))))))))
(* -2 (* (cbrt x) (cbrt -1)))
(* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* 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))) (* 2 (* (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))) (* 2 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))))
1
(+ 1 (* 1/3 x))
(+ 1 (* x (+ 1/3 (* -1/9 x))))
(+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9)))))
(cbrt x)
(* x (+ (cbrt (/ 1 (pow x 2))) (* 1/3 (cbrt (/ 1 (pow x 5))))))
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))))
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 5/81 (cbrt (/ 1 (pow x 11)))) (* 1/3 (cbrt (/ 1 (pow x 5))))))))
(* -1 (* (cbrt x) (cbrt -1)))
(* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(- 1 (cbrt (pow x 2)))
(- (+ 1 (* 2/3 x)) (cbrt (pow x 2)))
(- (+ 1 (* x (+ 2/3 (* -1/9 x)))) (cbrt (pow x 2)))
(- (+ 1 (* x (+ 2/3 (* x (- (* 4/81 x) 1/9))))) (cbrt (pow x 2)))
(* x (- (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))))
(* x (- (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2)))))) (cbrt (/ 1 x))))
(* x (- (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (* -1/9 (* (/ 1 (pow x 6)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))))) (cbrt (/ 1 x))))
(* x (- (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (* -1/9 (* (/ 1 (pow x 6)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (+ (* 5/81 (* (/ 1 (pow x 9)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 8))))) (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2)))))))) (cbrt (/ 1 x))))
(* -1 (* x (- (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (cbrt -1)))))
(* -1 (* x (- (+ (* -1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))))) (* (cbrt (/ 1 x)) (cbrt -1)))))
(* -1 (* x (- (+ (* -1 (/ (+ (* 1/9 (* (/ (cbrt -1) (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (* 1/3 (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (pow x 3))) (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))))) (* (cbrt (/ 1 x)) (cbrt -1)))))
(* -1 (* x (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt -1) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (* -5/81 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 8)))))) (pow x 3))) (* 1/3 (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (pow x 3))) (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))))) (* (cbrt (/ 1 x)) (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))
(* 1/3 (cbrt (pow x 4)))
(* 1/3 (cbrt (pow x 4)))
(* 1/3 (cbrt (pow x 4)))
(* 1/3 (cbrt (pow x 4)))
(* 1/3 (cbrt (pow x 4)))
(* 1/3 (cbrt (pow x 4)))
(* 1/3 (cbrt (pow x 4)))
(* 1/3 (cbrt (pow x 4)))
(* 1/3 (cbrt (pow x 4)))
(* 1/3 (cbrt (pow x 4)))
(* 1/3 (cbrt (pow x 4)))
(* 1/3 (cbrt (pow x 4)))
(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)))

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) (neg.f64 (cbrt.f64 #s(literal -1 binary64))))
(* -1 (* (cbrt x) (cbrt -1)))
(*.f64 (cbrt.f64 x) (neg.f64 (cbrt.f64 #s(literal -1 binary64))))
(* -1 (* (cbrt x) (cbrt -1)))
(*.f64 (cbrt.f64 x) (neg.f64 (cbrt.f64 #s(literal -1 binary64))))
(* -1 (* (cbrt x) (cbrt -1)))
(*.f64 (cbrt.f64 x) (neg.f64 (cbrt.f64 #s(literal -1 binary64))))
(- 1 (cbrt x))
(-.f64 #s(literal 1 binary64) (cbrt.f64 x))
(- (+ 1 (* 1/3 x)) (cbrt x))
(+.f64 (*.f64 #s(literal 1/3 binary64) x) (-.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))
(+.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/9 binary64)))) (-.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))
(+.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (+.f64 #s(literal -1/9 binary64) (*.f64 x #s(literal 5/81 binary64)))))) (-.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))
(/.f64 (+.f64 (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))) (*.f64 x x))
(/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2))
(/.f64 (+.f64 (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (+.f64 (.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 5/81 binary64)))) (*.f64 x x))
(/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2))
(/.f64 (+.f64 (+.f64 (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (+.f64 (.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 5/81 binary64)))) (.f64 #s(literal -10/243 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) (.f64 x x))
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))
(.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(/.f64 (+.f64 (/.f64 (.f64 (cbrt.f64 x) #s(literal 1/9 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (/.f64 (.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 (.f64 #s(literal -1/9 binary64) (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 (.f64 #s(literal -1/9 binary64) (cbrt.f64 (pow.f64 x #s(literal 10 binary64)))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (/.f64 (+.f64 (/.f64 (.f64 #s(literal 10/243 binary64) (cbrt.f64 (pow.f64 x #s(literal 13 binary64)))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 11 binary64))) (.f64 #s(literal 5/81 binary64) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 16 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64))))) (.f64 x (.f64 x x)))) (.f64 x (.f64 x x)))) (*.f64 x x))
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 (+.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 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64))))) (+.f64 (+.f64 (.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 11 binary64)))))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))))
(* -1 (* (cbrt x) (cbrt -1)))
(*.f64 (cbrt.f64 x) (neg.f64 (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)))))
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(-.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 (.f64 #s(literal -1/9 binary64) (cbrt.f64 (pow.f64 x #s(literal 10 binary64)))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (/.f64 (.f64 #s(literal -5/81 binary64) (cbrt.f64 (pow.f64 x #s(literal 7 binary64)))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64)))) (.f64 x (.f64 x x)))) (.f64 x (.f64 x x)))) (neg.f64 x))
(- 1 (cbrt (pow x 2)))
(-.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x x)))
(- (+ 1 (* 2/3 x)) (cbrt (pow x 2)))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 2/3 binary64))) (cbrt.f64 (.f64 x x)))
(- (+ 1 (* x (+ 2/3 (* -1/9 x)))) (cbrt (pow x 2)))
(+.f64 (.f64 x (+.f64 (.f64 x #s(literal -1/9 binary64)) #s(literal 2/3 binary64))) (-.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x x))))
(- (+ 1 (* x (+ 2/3 (* x (- (* 4/81 x) 1/9))))) (cbrt (pow x 2)))
(+.f64 (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 x (+.f64 #s(literal -1/9 binary64) (.f64 x #s(literal 4/81 binary64)))))) (-.f64 #s(literal 1 binary64) (cbrt.f64 (.f64 x x))))
(* x (- (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))))
(.f64 x (-.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))))
(* x (- (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2)))))) (cbrt (/ 1 x))))
(.f64 x (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (-.f64 (.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))))))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(* x (- (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (* -1/9 (* (/ 1 (pow x 6)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))))) (cbrt (/ 1 x))))
(.f64 x (+.f64 (+.f64 (.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))))))) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 5 binary64)))) (/.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal 6 binary64))))) (-.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(* x (- (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (* -1/9 (* (/ 1 (pow x 6)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (+ (* 5/81 (* (/ 1 (pow x 9)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 8))))) (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2)))))))) (cbrt (/ 1 x))))
(.f64 x (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (+.f64 (+.f64 (.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))))))) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 8 binary64)))) (/.f64 #s(literal 5/81 binary64) (pow.f64 x #s(literal 9 binary64))))) (-.f64 (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 5 binary64)))) (/.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal 6 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(* -1 (* x (- (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (cbrt -1)))))
(-.f64 #s(literal 0 binary64) (.f64 x (.f64 (cbrt.f64 #s(literal -1 binary64)) (-.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(* -1 (* x (- (+ (* -1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))))) (* (cbrt (/ 1 x)) (cbrt -1)))))
(.f64 (+.f64 (.f64 (cbrt.f64 #s(literal -1 binary64)) (-.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))))) (/.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x))))) (neg.f64 x))
(* -1 (* x (- (+ (* -1 (/ (+ (* 1/9 (* (/ (cbrt -1) (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (* 1/3 (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (pow x 3))) (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))))) (* (cbrt (/ 1 x)) (cbrt -1)))))
(.f64 (+.f64 (.f64 (cbrt.f64 #s(literal -1 binary64)) (-.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 5 binary64)))) (/.f64 (.f64 #s(literal 1/9 binary64) (cbrt.f64 #s(literal -1 binary64))) (.f64 x (.f64 x x)))) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))))))) (.f64 x (.f64 x x))))) (neg.f64 x))
(* -1 (* x (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt -1) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (* -5/81 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 8)))))) (pow x 3))) (* 1/3 (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (pow x 3))) (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))))) (* (cbrt (/ 1 x)) (cbrt -1)))))
(.f64 (+.f64 (.f64 (cbrt.f64 #s(literal -1 binary64)) (-.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 (-.f64 (.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))))))) (/.f64 (+.f64 (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 5 binary64)))) (.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal -1/9 binary64))) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 8 binary64)))) (/.f64 #s(literal -5/81 binary64) (.f64 x (.f64 x x))))) (.f64 x (.f64 x x)))) (neg.f64 (.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)))
(* 1/3 (cbrt (pow x 4)))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))
(* 1/3 (cbrt (pow x 4)))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))
(* 1/3 (cbrt (pow x 4)))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))
(* 1/3 (cbrt (pow x 4)))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))
(* 1/3 (cbrt (pow x 4)))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))
(* 1/3 (cbrt (pow x 4)))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))
(* 1/3 (cbrt (pow x 4)))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))
(* 1/3 (cbrt (pow x 4)))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))
(* 1/3 (cbrt (pow x 4)))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))
(* 1/3 (cbrt (pow x 4)))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))
(* 1/3 (cbrt (pow x 4)))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))
(* 1/3 (cbrt (pow x 4)))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))
(cbrt (pow x 2))
(cbrt.f64 (*.f64 x x))
(cbrt (pow x 2))
(cbrt.f64 (*.f64 x x))
(cbrt (pow x 2))
(cbrt.f64 (*.f64 x x))
(cbrt (pow x 2))
(cbrt.f64 (*.f64 x x))
(cbrt (pow x 2))
(cbrt.f64 (*.f64 x x))
(cbrt (pow x 2))
(cbrt.f64 (*.f64 x x))
(cbrt (pow x 2))
(cbrt.f64 (*.f64 x x))
(cbrt (pow x 2))
(cbrt.f64 (*.f64 x x))
(* -1 (* (cbrt (pow x 2)) (cbrt -1)))
(.f64 (cbrt.f64 (.f64 x x)) (*.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))
(* -1 (* (cbrt (pow x 2)) (cbrt -1)))
(.f64 (cbrt.f64 (.f64 x x)) (*.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))
(* -1 (* (cbrt (pow x 2)) (cbrt -1)))
(.f64 (cbrt.f64 (.f64 x x)) (*.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))
(* -1 (* (cbrt (pow x 2)) (cbrt -1)))
(.f64 (cbrt.f64 (.f64 x x)) (*.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))

eval198.0ms (2.1%)

Compiler: Compiled 33263 to 3007 computations (91% saved)

prune123.0ms (1.3%)

Pruning

26 alts after pruning (23 fresh and 3 done)

	Pruned	Kept	Total
New	1186	22	1208
Fresh	15	1	16
Picked	3	2	5
Done	0	1	1
Total	1204	26	1230

Accuracy

99.4%

Counts

1230 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	66.3%	(/.f64 (/.f64 (+.f64 (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64)))) x) x)
	6.5%	(/.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))))))
	22.1%	(/.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))
▶	47.2%	(/.f64 (+.f64 (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (.f64 #s(literal 1/3 binary64) (.f64 (cbrt.f64 x) x))) (.f64 x x))
	22.0%	(/.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 (/.f64 #s(literal 1 binary64) x)))
	13.4%	(/.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))))) (cbrt.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))))
	22.0%	(/.f64 (+.f64 (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (.f64 x (.f64 x (.f64 x x)))))) (.f64 x x))
	21.6%	(/.f64 (.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (.f64 x x))
	89.8%	(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))
▶	2.9%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))
✓	5.3%	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
✓	1.8%	(-.f64 #s(literal 1 binary64) (cbrt.f64 x))
▶	89.8%	(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))
	44.9%	(.f64 #s(literal 1/3 binary64) (pow.f64 (.f64 x x) #s(literal -1/3 binary64)))
	97.7%	(*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))
	97.7%	(*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x)))
▶	97.8%	(*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (neg.f64 x))))
	89.8%	(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))))
	48.1%	(.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (cbrt.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 x x))))))
	97.7%	(.f64 #s(literal 1/3 binary64) (.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))))
	90.1%	(.f64 #s(literal 1/3 binary64) (exp.f64 (neg.f64 (.f64 #s(literal 2/3 binary64) (log.f64 x)))))
	49.2%	(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -6 binary64))))
	49.4%	(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal -2 binary64))))
	49.4%	(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
✓	48.1%	(.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))
▶	49.4%	(.f64 #s(literal 1/3 binary64) (cbrt.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))))

Compiler

Compiled 596 to 429 computations (28% saved)

simplify146.0ms (1.6%)

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	6528	(+.f64 (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 x) x)))
✓	cost-diff	6656	(/.f64 (+.f64 (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (.f64 #s(literal 1/3 binary64) (.f64 (cbrt.f64 x) x))) (.f64 x x))
✓	cost-diff	0	(cbrt.f64 x)
✓	cost-diff	0	(+.f64 x #s(literal 1 binary64))
✓	cost-diff	0	(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64))
✓	cost-diff	0	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	128	(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))
✓	cost-diff	128	(cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))
✓	cost-diff	128	(.f64 #s(literal 1/3 binary64) (cbrt.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))))
✓	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	(/.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)))

Rules

2312×	`-lowering-.f32`
2312×	`-lowering-.f64`
1694×	`fma-define`
1308×	`fnmadd-define`
1174×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	8589934717
1	60	8589934714
2	86	8589934710
3	119	8589934708
4	162	8589934708
5	213	8589934708
6	315	8589934708
7	566	8589934708
8	944	8589934707
9	1424	8589934707
10	2414	8589934707
11	7375	8589934707
0	8037	125

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize326.0ms (3.5%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.4%	(*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))
✓	accuracy	99.2%	(cbrt.f64 x)
✓	accuracy	98.9%	(.f64 #s(literal 1/3 binary64) (.f64 (cbrt.f64 x) x))
✓	accuracy	48.3%	(/.f64 (+.f64 (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (.f64 #s(literal 1/3 binary64) (.f64 (cbrt.f64 x) x))) (.f64 x x))
✓	accuracy	100.0%	(+.f64 x #s(literal 1 binary64))
✓	accuracy	99.2%	(cbrt.f64 x)
✓	accuracy	91.9%	(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64))
✓	accuracy	5.4%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	99.6%	(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))
✓	accuracy	99.4%	(.f64 #s(literal 1/3 binary64) (cbrt.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))))
✓	accuracy	50.2%	(cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))
✓	accuracy	99.4%	(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))
✓	accuracy	90.4%	(pow.f64 x #s(literal -2/3 binary64))
✓	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	99.4%	(/.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)))

Results

138.0ms	108×	2	valid
127.0ms	146×	1	valid
1.0ms	2×	0	valid

Compiler

Compiled 153 to 28 computations (81.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 179.0ms

ival-pow: 53.0ms (29.6% of total)

ival-mult: 33.0ms (18.4% of total)

...c/correct-round.rkt:119:19: 27.0ms (15.1% of total)

backward-pass: 19.0ms (10.6% of total)

ival-cbrt: 16.0ms (8.9% of total)

ival-div: 14.0ms (7.8% of total)

ival-add: 6.0ms (3.4% of total)

ival-neg: 6.0ms (3.4% of total)

ival-sub: 3.0ms (1.7% of total)

const: 1.0ms (0.6% of total)

series12.0ms (0.1%)

Counts

19 → 228

Calls

Call 1

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

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

Calls

57 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(pow x -2/3)
1.0ms	x	@	inf	(pow x -2/3)
1.0ms	x	@	-inf	(pow x -2/3)
1.0ms	x	@	-inf	(/ (+ (* (cbrt x) -1/9) (* 1/3 (* (cbrt x) x))) (* x x))
0.0ms	x	@	-inf	(neg (/ 1 x))

rewrite343.0ms (3.7%)

Algorithm

1×	batch-egg-rewrite

Rules

3736×	`-lowering-.f32`
3736×	`-lowering-.f64`
2918×	`/-lowering-/.f32`
2918×	`/-lowering-/.f64`
1672×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	113
1	139	94
2	933	93
0	8423	84

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 872

Calls

Call 1

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

Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -1/3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal -2 binary64) (log.f64 x)) #s(literal 1/6 binary64)))
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal -1/3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/3 binary64) (log.f64 x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 1/3 binary64)) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (*.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 1/3 binary64))))
(exp.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 x))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (cbrt.f64 x)))
(cbrt.f64 (/.f64 #s(literal 1 binary64) x))
(cbrt.f64 (/.f64 #s(literal -1 binary64) x))
(neg.f64 (/.f64 #s(literal -1 binary64) (cbrt.f64 x)))
(/.f64 #s(literal 1 binary64) (cbrt.f64 x))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (cbrt.f64 x)))
(/.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 x))
(/.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x)) (pow.f64 x #s(literal -1/3 binary64)))
(/.f64 (cbrt.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64))))
(/.f64 (neg.f64 (cbrt.f64 #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) (cbrt.f64 x)))
(pow.f64 x #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))
(pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/3 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/6 binary64))
(pow.f64 (cbrt.f64 x) #s(literal -1 binary64))
(pow.f64 (*.f64 x x) #s(literal -1/6 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal -1/6 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 1/3 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/3 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 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 #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1/3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 x #s(literal -1/3 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal -1/3 binary64)))
(*.f64 (pow.f64 x #s(literal -1/3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal -1/3 binary64)))
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (pow.f64 x #s(literal -1/3 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/6 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 x #s(literal -1/6 binary64)) (pow.f64 x #s(literal -1/6 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/6 binary64)) (pow.f64 x #s(literal -1/3 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/6 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (pow.f64 x #s(literal -1/3 binary64)))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/3 binary64)) (pow.f64 x #s(literal -1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/3 binary64)) (pow.f64 x #s(literal -1/3 binary64)))
(*.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 (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 (pow.f64 x #s(literal -1/2 binary64))) (cbrt.f64 (pow.f64 x #s(literal -1/2 binary64))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/12 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/12 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x))
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 0 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 0 binary64))))
(neg.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal -1 binary64) x) x)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal -1 binary64) x)
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (/.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64))))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64))))
(pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) x)
(.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 0 binary64))))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64)))
(*.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(neg.f64 (.f64 (.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -2/3 binary64))) #s(literal 1/3 binary64)))
(neg.f64 (.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -2/3 binary64)))))
(neg.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (-.f64 #s(literal 0 binary64) (cbrt.f64 x))))
(neg.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/3 binary64)) #s(literal -1/3 binary64)) (cbrt.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))) #s(literal 1 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) (pow.f64 x #s(literal 2/3 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64))))))
(/.f64 #s(literal -1/3 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2/3 binary64))))
(/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x))
(/.f64 (*.f64 (pow.f64 x #s(literal -1/3 binary64)) #s(literal -1/3 binary64)) (-.f64 #s(literal 0 binary64) (cbrt.f64 x)))
(/.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal -1/3 binary64)) #s(literal -1/3 binary64))) (cbrt.f64 x))
(pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.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 (pow.f64 x #s(literal -1/3 binary64)) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)))
(.f64 #s(literal -1/3 binary64) (.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -2/3 binary64))))
(*.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (pow.f64 x #s(literal -1/3 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal -1/3 binary64)) #s(literal -1/3 binary64)) (/.f64 #s(literal -1 binary64) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/3 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/6 binary64))))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/3 binary64)) (cbrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)))
(*.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/6 binary64))) (/.f64 (pow.f64 x #s(literal -1/3 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/6 binary64))))
(*.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal -2/3 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (cbrt.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)))
(exp.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 x)))
(exp.f64 (.f64 (.f64 #s(literal -2 binary64) (log.f64 x)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) #s(literal 2/3 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 (log.f64 (.f64 x x)) #s(literal -1/3 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal -1/3 binary64)) #s(literal 2 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 (/.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 (/.f64 #s(literal -1 binary64) x)) #s(literal 1/3 binary64)) (.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 1/3 binary64))))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -2/3 binary64))))
(-.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))))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(neg.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -2/3 binary64))))
(neg.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2/3 binary64))))
(neg.f64 (.f64 #s(literal 1 binary64) (.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) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2/3 binary64))))
(/.f64 (pow.f64 x #s(literal -1/3 binary64)) (cbrt.f64 x))
(/.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(/.f64 (*.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 2/3 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (cbrt.f64 #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2/3 binary64))))
(/.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 2/3 binary64)))
(/.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2/3 binary64))))
(/.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 2/3 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) (cbrt.f64 x)) (-.f64 #s(literal 0 binary64) (cbrt.f64 x)))
(pow.f64 x #s(literal -2/3 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 2/3 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -2/3 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 x) #s(literal -2 binary64))
(pow.f64 (*.f64 x x) #s(literal -1/3 binary64))
(pow.f64 (pow.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal -1 binary64))
(pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/6 binary64))
(pow.f64 (exp.f64 #s(literal -2/3 binary64)) (log.f64 x))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2/3 binary64)))
(*.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 -2/3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal -2/3 binary64)))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -1 binary64) (pow.f64 x #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) x) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 2/3 binary64)) (pow.f64 x #s(literal -2/3 binary64)))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 2/3 binary64)) (pow.f64 x #s(literal -2/3 binary64)))
(*.f64 (pow.f64 (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 2/3 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal -1/2 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)))
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(/.f64 (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4/3 binary64)) #s(literal 1/6561 binary64)) (pow.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64))) #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/81 binary64)) (.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 8/3 binary64)))) (+.f64 (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (.f64 (pow.f64 x #s(literal 4/3 binary64)) #s(literal -1/3 binary64)))))
(/.f64 (.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/387420489 binary64)) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal 1/27 binary64))) (.f64 #s(literal 1/729 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))))) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 (.f64 x x) #s(literal 1/531441 binary64)) (-.f64 (.f64 #s(literal 1/729 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x #s(literal -1/729 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal 1/27 binary64)))))) (+.f64 (.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/81 binary64)) (.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64))) (+.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64))) (*.f64 (cbrt.f64 x) #s(literal 1/9 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x #s(literal -1/729 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal 1/27 binary64)))))) (+.f64 (.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/81 binary64)) (.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64))) (+.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64))) (.f64 (cbrt.f64 x) #s(literal 1/9 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x #s(literal -1/729 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal 1/27 binary64)))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/81 binary64)) (.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64))) (+.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64))) (.f64 (cbrt.f64 x) #s(literal 1/9 binary64))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/81 binary64)) (.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal 8/3 binary64)))))) (+.f64 (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (.f64 (pow.f64 x #s(literal 4/3 binary64)) #s(literal -1/3 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/81 binary64)) (.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal 8/3 binary64)))))) (neg.f64 (+.f64 (.f64 (cbrt.f64 x) #s(literal 1/9 binary64)) (neg.f64 (.f64 (pow.f64 x #s(literal 4/3 binary64)) #s(literal -1/3 binary64))))))
(/.f64 (neg.f64 (+.f64 (.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 8/3 binary64))) (.f64 #s(literal -1/81 binary64) (pow.f64 x #s(literal 2/3 binary64))))) (neg.f64 (+.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64))) (.f64 (cbrt.f64 x) #s(literal 1/9 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/81 binary64)) (+.f64 (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (.f64 (pow.f64 x #s(literal 4/3 binary64)) #s(literal -1/3 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 8/3 binary64))) (+.f64 (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (.f64 (pow.f64 x #s(literal 4/3 binary64)) #s(literal -1/3 binary64)))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/81 binary64)) (+.f64 (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (.f64 (pow.f64 x #s(literal 4/3 binary64)) #s(literal -1/3 binary64)))) (/.f64 (.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/81 binary64)) (+.f64 (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (.f64 (pow.f64 x #s(literal 4/3 binary64)) #s(literal -1/3 binary64))))) (+.f64 (.f64 (/.f64 (.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 8/3 binary64))) (+.f64 (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (.f64 (pow.f64 x #s(literal 4/3 binary64)) #s(literal -1/3 binary64)))) (/.f64 (.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 8/3 binary64))) (+.f64 (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (.f64 (pow.f64 x #s(literal 4/3 binary64)) #s(literal -1/3 binary64))))) (.f64 (/.f64 (.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/81 binary64)) (+.f64 (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (.f64 (pow.f64 x #s(literal 4/3 binary64)) #s(literal -1/3 binary64)))) (/.f64 (.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 8/3 binary64))) (+.f64 (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (*.f64 (pow.f64 x #s(literal 4/3 binary64)) #s(literal -1/3 binary64))))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/81 binary64)) (+.f64 (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (.f64 (pow.f64 x #s(literal 4/3 binary64)) #s(literal -1/3 binary64)))) (/.f64 (.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/81 binary64)) (+.f64 (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (.f64 (pow.f64 x #s(literal 4/3 binary64)) #s(literal -1/3 binary64))))) (.f64 (/.f64 (.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 8/3 binary64))) (+.f64 (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (.f64 (pow.f64 x #s(literal 4/3 binary64)) #s(literal -1/3 binary64)))) (/.f64 (.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 8/3 binary64))) (+.f64 (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (.f64 (pow.f64 x #s(literal 4/3 binary64)) #s(literal -1/3 binary64)))))) (+.f64 (/.f64 (.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/81 binary64)) (+.f64 (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (.f64 (pow.f64 x #s(literal 4/3 binary64)) #s(literal -1/3 binary64)))) (/.f64 (.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 8/3 binary64))) (+.f64 (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (.f64 (pow.f64 x #s(literal 4/3 binary64)) #s(literal -1/3 binary64))))))
(pow.f64 (/.f64 #s(literal 1 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))))) #s(literal -1 binary64))
(.f64 #s(literal 1 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 (+.f64 (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64)))) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (+.f64 (.f64 (pow.f64 x #s(literal 4/3 binary64)) #s(literal -1/3 binary64)) (*.f64 (cbrt.f64 x) #s(literal 1/9 binary64))))
(.f64 (+.f64 (.f64 x #s(literal -1/729 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal 1/27 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/81 binary64)) (.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64))) (+.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64))) (*.f64 (cbrt.f64 x) #s(literal 1/9 binary64)))))))
(.f64 (+.f64 (.f64 x #s(literal -1/729 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal 1/27 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 8/3 binary64))) (+.f64 (.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/81 binary64)) (.f64 (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (*.f64 (pow.f64 x #s(literal 4/3 binary64)) #s(literal -1/3 binary64)))))))
(.f64 (+.f64 (.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/81 binary64)) (.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal 8/3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (*.f64 (pow.f64 x #s(literal 4/3 binary64)) #s(literal -1/3 binary64)))))
(.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x #s(literal -1/729 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal 1/27 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/81 binary64)) (.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64))) (+.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64))) (*.f64 (cbrt.f64 x) #s(literal 1/9 binary64))))))))
(.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/81 binary64)) (.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal 8/3 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (cbrt.f64 x) #s(literal 1/9 binary64)) (neg.f64 (*.f64 (pow.f64 x #s(literal 4/3 binary64)) #s(literal -1/3 binary64))))))
(.f64 (+.f64 (.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 8/3 binary64))) (.f64 #s(literal -1/81 binary64) (pow.f64 x #s(literal 2/3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64))) (*.f64 (cbrt.f64 x) #s(literal 1/9 binary64)))))
(*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))
(*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 x)))
(exp.f64 (neg.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 1/3 binary64))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (cbrt.f64 x)))
(cbrt.f64 x)
(cbrt.f64 (-.f64 #s(literal 0 binary64) x))
(neg.f64 (-.f64 #s(literal 0 binary64) (cbrt.f64 x)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(/.f64 (cbrt.f64 x) #s(literal 1 binary64))
(/.f64 (cbrt.f64 x) (cbrt.f64 #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cbrt.f64 x)))
(/.f64 (-.f64 #s(literal 0 binary64) (cbrt.f64 x)) #s(literal -1 binary64))
(/.f64 (cbrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) (cbrt.f64 x))
(/.f64 (cbrt.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))) (cbrt.f64 (+.f64 (*.f64 x x) #s(literal 0 binary64))))
(pow.f64 x #s(literal 1/3 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 (cbrt.f64 x) #s(literal 1 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 (-.f64 #s(literal 0 binary64) x) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) x))) #s(literal 1/3 binary64))
(*.f64 #s(literal 1 binary64) (cbrt.f64 x))
(*.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) (-.f64 #s(literal 0 binary64) (cbrt.f64 x)))
(*.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 x #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (cbrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x #s(literal 2/3 binary64))))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 2/3 binary64))) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 1/2 binary64))))
(/.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) x))
(.f64 x (.f64 #s(literal 1/3 binary64) (cbrt.f64 x)))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64)))
(.f64 (cbrt.f64 x) (.f64 x #s(literal 1/3 binary64)))
(*.f64 (pow.f64 x #s(literal 4/3 binary64)) #s(literal 1/3 binary64))
(.f64 (.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) x)
(.f64 (.f64 #s(literal 1/3 binary64) x) (cbrt.f64 x))

simplify253.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

3820×	`-lowering-.f32`
3820×	`-lowering-.f64`
1672×	`/-lowering-/.f32`
1672×	`/-lowering-/.f64`
1640×	`+-lowering-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	161	1702
1	426	1657
2	1243	1644
3	3777	1641
0	8277	1641

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

Calls

Call 1

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

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

eval157.0ms (1.7%)

Compiler: Compiled 21631 to 2879 computations (86.7% saved)

prune183.0ms (2%)

Pruning

44 alts after pruning (37 fresh and 7 done)

	Pruned	Kept	Total
New	1265	25	1290
Fresh	6	12	18
Picked	1	4	5
Done	0	3	3
Total	1272	44	1316

Accuracy

99.5%

Counts

1316 → 44

Alt Table

Click to see full alt table

Status	Accuracy	Program
	66.3%	(/.f64 (/.f64 (+.f64 (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64)))) x) x)
	97.7%	(/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x))
	6.5%	(/.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))))))
	22.1%	(/.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))
	47.2%	(/.f64 (+.f64 (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (.f64 (.f64 #s(literal 1/3 binary64) x) (cbrt.f64 x))) (.f64 x x))
✓	47.2%	(/.f64 (+.f64 (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (.f64 #s(literal 1/3 binary64) (.f64 (cbrt.f64 x) x))) (.f64 x x))
	22.0%	(/.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 (/.f64 #s(literal 1 binary64) x)))
	13.4%	(/.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))))) (cbrt.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))))
	22.0%	(/.f64 (+.f64 (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (.f64 x (.f64 x (.f64 x x)))))) (.f64 x x))
▶	21.6%	(/.f64 (.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (.f64 x x))
	89.8%	(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/3 binary64)))
	89.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))))
▶	89.8%	(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))
	5.3%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 1/3 binary64)))
	5.2%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/3 binary64))))
✓	2.9%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))
✓	5.3%	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
✓	1.8%	(-.f64 #s(literal 1 binary64) (cbrt.f64 x))
	89.8%	(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) #s(literal 1/3 binary64))
	44.9%	(.f64 (pow.f64 (.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/3 binary64))
	97.7%	(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64))
✓	89.8%	(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))
	97.7%	(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (cbrt.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)))
	89.8%	(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))) #s(literal 1/3 binary64))
	97.7%	(.f64 (.f64 (/.f64 #s(literal -1 binary64) (cbrt.f64 x)) (/.f64 #s(literal -1 binary64) (cbrt.f64 x))) #s(literal 1/3 binary64))
▶	90.4%	(.f64 (exp.f64 (.f64 (log.f64 (pow.f64 x #s(literal 2/3 binary64))) #s(literal -1 binary64))) #s(literal 1/3 binary64))
	90.1%	(.f64 (exp.f64 (.f64 #s(literal -2/3 binary64) (log.f64 x))) #s(literal 1/3 binary64))
	29.3%	(.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 (cbrt.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 0 binary64)))) (cbrt.f64 (neg.f64 x))))
	97.7%	(*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x)))
	49.3%	(*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (neg.f64 x))))
	48.0%	(.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal -1 binary64) x))) (cbrt.f64 (neg.f64 x))))
	97.8%	(*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))))
	97.8%	(*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (neg.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)))) (cbrt.f64 (neg.f64 x))))
	97.5%	(*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal -3 binary64)))) (cbrt.f64 (neg.f64 x))))
▶	97.8%	(.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (neg.f64 (.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))) (cbrt.f64 (neg.f64 x))))
	97.8%	(.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (neg.f64 (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))) (cbrt.f64 (neg.f64 x))))
	48.1%	(.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (cbrt.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 x x))))))
	49.4%	(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal -2 binary64))))
	48.1%	(.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (*.f64 x (/.f64 #s(literal 1 binary64) x)))))
	49.4%	(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
▶	22.1%	(.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (/.f64 (/.f64 #s(literal -1 binary64) x) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
	29.3%	(.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) #s(literal -1 binary64)) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 0 binary64)) x))))
✓	48.1%	(.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))
✓	49.4%	(.f64 #s(literal 1/3 binary64) (cbrt.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))))

Compiler

Compiled 1098 to 782 computations (28.8% saved)

simplify181.0ms (1.9%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(log.f64 (pow.f64 x #s(literal 2/3 binary64)))
✓	cost-diff	0	(*.f64 (log.f64 (pow.f64 x #s(literal 2/3 binary64))) #s(literal -1 binary64))
✓	cost-diff	12800	(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 2/3 binary64))) #s(literal -1 binary64)))
✓	cost-diff	12928	(.f64 (exp.f64 (.f64 (log.f64 (pow.f64 x #s(literal 2/3 binary64))) #s(literal -1 binary64))) #s(literal 1/3 binary64))
✓	cost-diff	6080	(pow.f64 x #s(literal 4 binary64))
✓	cost-diff	6080	(cbrt.f64 (pow.f64 x #s(literal 4 binary64)))
✓	cost-diff	6080	(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))
✓	cost-diff	6080	(/.f64 (.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (.f64 x x))
✓	cost-diff	128	(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
✓	cost-diff	768	(/.f64 (.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (/.f64 (/.f64 #s(literal -1 binary64) x) x)) (/.f64 #s(literal 1 binary64) (.f64 x x)))
✓	cost-diff	768	(cbrt.f64 (/.f64 (.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (/.f64 (/.f64 #s(literal -1 binary64) x) x)) (/.f64 #s(literal 1 binary64) (.f64 x x))))
✓	cost-diff	768	(.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (/.f64 (/.f64 #s(literal -1 binary64) x) x)) (/.f64 #s(literal 1 binary64) (*.f64 x 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	25856	(/.f64 (cbrt.f64 (neg.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))) (cbrt.f64 (neg.f64 x)))
✓	cost-diff	25856	(.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (neg.f64 (.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))) (cbrt.f64 (neg.f64 x))))
✓	cost-diff	25920	(neg.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))
✓	cost-diff	25920	(cbrt.f64 (neg.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))))

Rules

2828×	`-lowering-.f32`
2828×	`-lowering-.f64`
1766×	`div-sub`
1492×	`/-lowering-/.f32`
1492×	`/-lowering-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	30064771249
1	78	30064771243
2	155	30064771196
3	329	30064771194
4	1428	30064771180
5	2325	30064771180
6	5203	30064771180
0	8243	144

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* 1/3 (/ (cbrt (neg (* (pow (pow x 1/2) -1) (pow (pow x 1/2) -1)))) (cbrt (neg x))))
1/3
(/ (cbrt (neg (* (pow (pow x 1/2) -1) (pow (pow x 1/2) -1)))) (cbrt (neg x)))
(cbrt (neg (* (pow (pow x 1/2) -1) (pow (pow x 1/2) -1))))
(neg (* (pow (pow x 1/2) -1) (pow (pow x 1/2) -1)))
(* (pow (pow x 1/2) -1) (pow (pow x 1/2) -1))
(pow (pow x 1/2) -1)
(pow x 1/2)
x
1/2
-1
(cbrt (neg x))
(neg x)
(/ 1/3 (pow x 2/3))
1/3
(pow x 2/3)
x
2/3
(* 1/3 (cbrt (/ (* (/ (/ -1 x) x) (/ (/ -1 x) x)) (/ 1 (* x x)))))
1/3
(cbrt (/ (* (/ (/ -1 x) x) (/ (/ -1 x) x)) (/ 1 (* x x))))
(/ (* (/ (/ -1 x) x) (/ (/ -1 x) x)) (/ 1 (* x x)))
(* (/ (/ -1 x) x) (/ (/ -1 x) x))
(/ (/ -1 x) x)
(/ -1 x)
-1
x
(/ 1 (* x x))
1
(* x x)
(/ (* 1/3 (cbrt (pow x 4))) (* x x))
(* 1/3 (cbrt (pow x 4)))
1/3
(cbrt (pow x 4))
(pow x 4)
x
4
(* x x)
(* (exp (* (log (pow x 2/3)) -1)) 1/3)
(exp (* (log (pow x 2/3)) -1))
(* (log (pow x 2/3)) -1)
(log (pow x 2/3))
(pow x 2/3)
x
2/3
-1
1/3

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

localize204.0ms (2.2%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(log.f64 (pow.f64 x #s(literal 2/3 binary64)))
✓	accuracy	99.4%	(.f64 (exp.f64 (.f64 (log.f64 (pow.f64 x #s(literal 2/3 binary64))) #s(literal -1 binary64))) #s(literal 1/3 binary64))
✓	accuracy	91.8%	(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 2/3 binary64))) #s(literal -1 binary64)))
✓	accuracy	90.4%	(pow.f64 x #s(literal 2/3 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	98.9%	(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))
✓	accuracy	51.1%	(cbrt.f64 (pow.f64 x #s(literal 4 binary64)))
✓	accuracy	48.3%	(/.f64 (.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (.f64 x x))
✓	accuracy	99.4%	(.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (/.f64 (/.f64 #s(literal -1 binary64) x) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
✓	accuracy	98.9%	(/.f64 #s(literal 1 binary64) (*.f64 x x))
✓	accuracy	50.2%	(cbrt.f64 (/.f64 (.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (/.f64 (/.f64 #s(literal -1 binary64) x) x)) (/.f64 #s(literal 1 binary64) (.f64 x x))))
✓	accuracy	25.9%	(/.f64 (.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (/.f64 (/.f64 #s(literal -1 binary64) x) x)) (/.f64 #s(literal 1 binary64) (.f64 x x)))
✓	accuracy	99.4%	(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))
✓	accuracy	90.4%	(pow.f64 x #s(literal 2/3 binary64))
✓	accuracy	99.4%	(/.f64 (cbrt.f64 (neg.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))) (cbrt.f64 (neg.f64 x)))
✓	accuracy	99.2%	(*.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))
✓	accuracy	99.2%	(cbrt.f64 (neg.f64 x))
✓	accuracy	99.0%	(cbrt.f64 (neg.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))))

Results

142.0ms

256×

valid

Compiler

Compiled 250 to 35 computations (86% saved)

Precisions

Click to see histograms. Total time spent on operations: 78.0ms

ival-pow: 28.0ms (36.1% of total)

ival-mult: 14.0ms (18% of total)

ival-div: 12.0ms (15.5% of total)

...c/correct-round.rkt:119:19: 8.0ms (10.3% of total)

ival-cbrt: 6.0ms (7.7% of total)

ival-exp: 3.0ms (3.9% of total)

ival-log: 3.0ms (3.9% of total)

ival-neg: 3.0ms (3.9% of total)

const: 1.0ms (1.3% of total)

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

series87.0ms (0.9%)

Counts

22 → 264

Calls

Call 1

Inputs
#<alt (cbrt (neg (* (pow (pow x 1/2) -1) (pow (pow x 1/2) -1))))>
#<alt (neg (* (pow (pow x 1/2) -1) (pow (pow x 1/2) -1)))>
#<alt (* 1/3 (/ (cbrt (neg (* (pow (pow x 1/2) -1) (pow (pow x 1/2) -1)))) (cbrt (neg x))))>
#<alt (/ (cbrt (neg (* (pow (pow x 1/2) -1) (pow (pow x 1/2) -1)))) (cbrt (neg x)))>
#<alt (/ 1/3 (pow x 2/3))>
#<alt (pow x 2/3)>
#<alt (* 1/3 (cbrt (/ (* (/ (/ -1 x) x) (/ (/ -1 x) x)) (/ 1 (* x x)))))>
#<alt (cbrt (/ (* (/ (/ -1 x) x) (/ (/ -1 x) x)) (/ 1 (* x x))))>
#<alt (/ (* (/ (/ -1 x) x) (/ (/ -1 x) x)) (/ 1 (* x x)))>
#<alt (* (/ (/ -1 x) x) (/ (/ -1 x) x))>
#<alt (/ (* 1/3 (cbrt (pow x 4))) (* x x))>
#<alt (* 1/3 (cbrt (pow x 4)))>
#<alt (cbrt (pow x 4))>
#<alt (pow x 4)>
#<alt (* (exp (* (log (pow x 2/3)) -1)) 1/3)>
#<alt (exp (* (log (pow x 2/3)) -1))>
#<alt (* (log (pow x 2/3)) -1)>
#<alt (log (pow x 2/3))>
#<alt (cbrt (neg x))>
#<alt (* (pow (pow x 1/2) -1) (pow (pow x 1/2) -1))>
#<alt (/ 1 (* x x))>
#<alt (* x x)>

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

Calls

66 calls:

Time	Variable		Point	Expression
50.0ms	x	@	0	(* (log (pow x 2/3)) -1)
20.0ms	x	@	inf	(* (log (pow x 2/3)) -1)
6.0ms	x	@	-inf	(* (log (pow x 2/3)) -1)
3.0ms	x	@	-inf	(cbrt (neg (* (pow (pow x 1/2) -1) (pow (pow x 1/2) -1))))
2.0ms	x	@	-inf	(* 1/3 (/ (cbrt (neg (* (pow (pow x 1/2) -1) (pow (pow x 1/2) -1)))) (cbrt (neg x))))

rewrite402.0ms (4.3%)

Algorithm

1×	batch-egg-rewrite

Rules

3108×	`-lowering-.f32`
3108×	`-lowering-.f64`
2078×	`/-lowering-/.f32`
2078×	`/-lowering-/.f64`
1464×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	162
1	165	105
2	1034	89
3	6725	89
0	8897	78

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 2006

Calls

Call 1

Inputs
(cbrt (neg (* (pow (pow x 1/2) -1) (pow (pow x 1/2) -1))))
(neg (* (pow (pow x 1/2) -1) (pow (pow x 1/2) -1)))
(* 1/3 (/ (cbrt (neg (* (pow (pow x 1/2) -1) (pow (pow x 1/2) -1)))) (cbrt (neg x))))
(/ (cbrt (neg (* (pow (pow x 1/2) -1) (pow (pow x 1/2) -1)))) (cbrt (neg x)))
(/ 1/3 (pow x 2/3))
(pow x 2/3)
(* 1/3 (cbrt (/ (* (/ (/ -1 x) x) (/ (/ -1 x) x)) (/ 1 (* x x)))))
(cbrt (/ (* (/ (/ -1 x) x) (/ (/ -1 x) x)) (/ 1 (* x x))))
(/ (* (/ (/ -1 x) x) (/ (/ -1 x) x)) (/ 1 (* x x)))
(* (/ (/ -1 x) x) (/ (/ -1 x) x))
(/ (* 1/3 (cbrt (pow x 4))) (* x x))
(* 1/3 (cbrt (pow x 4)))
(cbrt (pow x 4))
(pow x 4)
(* (exp (* (log (pow x 2/3)) -1)) 1/3)
(exp (* (log (pow x 2/3)) -1))
(* (log (pow x 2/3)) -1)
(log (pow x 2/3))
(cbrt (neg x))
(* (pow (pow x 1/2) -1) (pow (pow x 1/2) -1))
(/ 1 (* x x))
(* x x)

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

simplify163.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1590×	`fma-define`
1432×	`fnmadd-define`
1198×	`sum3-define`
814×	`fma-lowering-fma.f32`
814×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	50	1504
1	107	1432
2	215	1428
3	340	1424
4	659	1424
5	1098	1424
6	1666	1424
7	2693	1424
8	3664	1424
9	5531	1424
10	5955	1424
11	5955	1424
12	5955	1424
13	5955	1424
0	5955	1424

Stop Event

1×	iter limit
1×	saturated

Counts

264 → 264

Calls

Call 1

Inputs
(* (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 (pow (sqrt -1) 2)))) (pow (cbrt -1) 2))
(* (cbrt (/ 1 (* x (pow (sqrt -1) 2)))) (pow (cbrt -1) 2))
(* (cbrt (/ 1 (* x (pow (sqrt -1) 2)))) (pow (cbrt -1) 2))
(* (cbrt (/ 1 (* x (pow (sqrt -1) 2)))) (pow (cbrt -1) 2))
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ 1 (* x (pow (sqrt -1) 2)))
(/ 1 (* x (pow (sqrt -1) 2)))
(/ 1 (* x (pow (sqrt -1) 2)))
(/ 1 (* x (pow (sqrt -1) 2)))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (* (cbrt (/ 1 (* (pow x 2) (pow (sqrt -1) 2)))) (cbrt -1)))
(* 1/3 (* (cbrt (/ 1 (* (pow x 2) (pow (sqrt -1) 2)))) (cbrt -1)))
(* 1/3 (* (cbrt (/ 1 (* (pow x 2) (pow (sqrt -1) 2)))) (cbrt -1)))
(* 1/3 (* (cbrt (/ 1 (* (pow x 2) (pow (sqrt -1) 2)))) (cbrt -1)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(* (cbrt (/ 1 (* (pow x 2) (pow (sqrt -1) 2)))) (cbrt -1))
(* (cbrt (/ 1 (* (pow x 2) (pow (sqrt -1) 2)))) (cbrt -1))
(* (cbrt (/ 1 (* (pow x 2) (pow (sqrt -1) 2)))) (cbrt -1))
(* (cbrt (/ 1 (* (pow x 2) (pow (sqrt -1) 2)))) (cbrt -1))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(cbrt (pow x 2))
(cbrt (pow x 2))
(cbrt (pow x 2))
(cbrt (pow x 2))
(cbrt (pow x 2))
(cbrt (pow x 2))
(cbrt (pow x 2))
(cbrt (pow x 2))
(* -1 (* (cbrt (pow x 2)) (cbrt -1)))
(* -1 (* (cbrt (pow x 2)) (cbrt -1)))
(* -1 (* (cbrt (pow x 2)) (cbrt -1)))
(* -1 (* (cbrt (pow x 2)) (cbrt -1)))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(/ 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 4))
(/ 1 (pow x 4))
(/ 1 (pow x 4))
(/ 1 (pow x 4))
(/ 1 (pow x 4))
(/ 1 (pow x 4))
(/ 1 (pow x 4))
(/ 1 (pow x 4))
(/ 1 (pow x 4))
(/ 1 (pow x 4))
(/ 1 (pow x 4))
(/ 1 (pow x 4))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (pow x 4)))
(* 1/3 (cbrt (pow x 4)))
(* 1/3 (cbrt (pow x 4)))
(* 1/3 (cbrt (pow x 4)))
(* 1/3 (cbrt (pow x 4)))
(* 1/3 (cbrt (pow x 4)))
(* 1/3 (cbrt (pow x 4)))
(* 1/3 (cbrt (pow x 4)))
(* 1/3 (cbrt (pow x 4)))
(* 1/3 (cbrt (pow x 4)))
(* 1/3 (cbrt (pow x 4)))
(* 1/3 (cbrt (pow x 4)))
(cbrt (pow x 4))
(cbrt (pow x 4))
(cbrt (pow x 4))
(cbrt (pow x 4))
(cbrt (pow x 4))
(cbrt (pow x 4))
(cbrt (pow x 4))
(cbrt (pow x 4))
(cbrt (pow x 4))
(cbrt (pow x 4))
(cbrt (pow x 4))
(cbrt (pow x 4))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(* 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 (log (cbrt (pow x 2))))
(* -1 (log (cbrt (pow x 2))))
(* -1 (log (cbrt (pow x 2))))
(* -1 (log (cbrt (pow x 2))))
(* -1 (+ (log (cbrt (/ 1 x))) (* -1 (log (/ 1 x)))))
(* -1 (+ (log (cbrt (/ 1 x))) (* -1 (log (/ 1 x)))))
(* -1 (+ (log (cbrt (/ 1 x))) (* -1 (log (/ 1 x)))))
(* -1 (+ (log (cbrt (/ 1 x))) (* -1 (log (/ 1 x)))))
(* -1 (+ (log (* (cbrt (/ 1 x)) (cbrt -1))) (* -1 (log (/ -1 x)))))
(* -1 (+ (log (* (cbrt (/ 1 x)) (cbrt -1))) (* -1 (log (/ -1 x)))))
(* -1 (+ (log (* (cbrt (/ 1 x)) (cbrt -1))) (* -1 (log (/ -1 x)))))
(* -1 (+ (log (* (cbrt (/ 1 x)) (cbrt -1))) (* -1 (log (/ -1 x)))))
(log (cbrt (pow x 2)))
(log (cbrt (pow x 2)))
(log (cbrt (pow x 2)))
(log (cbrt (pow x 2)))
(+ (log (cbrt (/ 1 x))) (* -1 (log (/ 1 x))))
(+ (log (cbrt (/ 1 x))) (* -1 (log (/ 1 x))))
(+ (log (cbrt (/ 1 x))) (* -1 (log (/ 1 x))))
(+ (log (cbrt (/ 1 x))) (* -1 (log (/ 1 x))))
(+ (log (* (cbrt (/ 1 x)) (cbrt -1))) (* -1 (log (/ -1 x))))
(+ (log (* (cbrt (/ 1 x)) (cbrt -1))) (* -1 (log (/ -1 x))))
(+ (log (* (cbrt (/ 1 x)) (cbrt -1))) (* -1 (log (/ -1 x))))
(+ (log (* (cbrt (/ 1 x)) (cbrt -1))) (* -1 (log (/ -1 x))))
(* (cbrt x) (cbrt -1))
(* (cbrt x) (cbrt -1))
(* (cbrt x) (cbrt -1))
(* (cbrt x) (cbrt -1))
(* (cbrt x) (cbrt -1))
(* (cbrt x) (cbrt -1))
(* (cbrt x) (cbrt -1))
(* (cbrt x) (cbrt -1))
(* -1 (cbrt x))
(* -1 (cbrt x))
(* -1 (cbrt x))
(* -1 (cbrt x))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ -1 (* x (pow (sqrt -1) 2)))
(/ -1 (* x (pow (sqrt -1) 2)))
(/ -1 (* x (pow (sqrt -1) 2)))
(/ -1 (* x (pow (sqrt -1) 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)

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

eval347.0ms (3.7%)

Compiler: Compiled 36492 to 4952 computations (86.4% saved)

prune236.0ms (2.5%)

Pruning

47 alts after pruning (41 fresh and 6 done)

	Pruned	Kept	Total
New	2459	26	2485
Fresh	17	15	32
Picked	4	1	5
Done	2	5	7
Total	2482	47	2529

Accuracy

100.0%

Counts

2529 → 47

Alt Table

Click to see full alt table

Status	Accuracy	Program
	66.3%	(/.f64 (/.f64 (+.f64 (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64)))) x) x)
	91.3%	(/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1/3 binary64))) x)
	97.7%	(/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x))
	6.5%	(/.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))))))
	22.1%	(/.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))
	47.2%	(/.f64 (+.f64 (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (.f64 (.f64 #s(literal 1/3 binary64) x) (cbrt.f64 x))) (.f64 x x))
	22.0%	(/.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 (/.f64 #s(literal 1 binary64) x)))
	13.4%	(/.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))))) (cbrt.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))))
	22.0%	(/.f64 (+.f64 (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (.f64 x (.f64 x (.f64 x x)))))) (.f64 x x))
	42.9%	(/.f64 (.f64 (pow.f64 x #s(literal 4/3 binary64)) #s(literal 1/3 binary64)) (.f64 x x))
	98.4%	(/.f64 (*.f64 (cbrt.f64 x) #s(literal -1/3 binary64)) (-.f64 #s(literal 0 binary64) x))
	42.9%	(/.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 (sqrt.f64 x) #s(literal 8/3 binary64))) (.f64 x x))
	43.0%	(/.f64 (.f64 #s(literal 1/3 binary64) (exp.f64 (.f64 (log.f64 x) #s(literal 4/3 binary64)))) (*.f64 x x))
	21.6%	(/.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
	21.6%	(/.f64 (.f64 #s(literal 1/3 binary64) (cbrt.f64 (.f64 (.f64 x (.f64 x x)) x))) (*.f64 x x))
	98.3%	(/.f64 (cbrt.f64 x) (/.f64 x #s(literal 1/3 binary64)))
	97.8%	(/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
✓	89.8%	(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))
	42.9%	(/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 4/3 binary64)) (/.f64 #s(literal -1 binary64) (.f64 x x)))))
	91.3%	(/.f64 #s(literal 1/3 binary64) (*.f64 x (pow.f64 x #s(literal -1/3 binary64))))
	48.1%	(/.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 x x)))
	5.3%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 1/3 binary64)))
	5.2%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/3 binary64))))
✓	2.9%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))
✓	5.3%	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
✓	1.8%	(-.f64 #s(literal 1 binary64) (cbrt.f64 x))
	97.7%	(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64))
✓	89.8%	(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))
	98.3%	(*.f64 (/.f64 (/.f64 (cbrt.f64 x) (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 1/4 binary64))) #s(literal 1/3 binary64))
	48.2%	(.f64 (/.f64 (.f64 #s(literal -1/3 binary64) (cbrt.f64 x)) (-.f64 #s(literal 0 binary64) (*.f64 x x))) x)
	98.5%	(*.f64 (/.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64))
	98.4%	(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (cbrt.f64 x))) #s(literal 1/3 binary64))
	98.4%	(*.f64 (/.f64 #s(literal 1/3 binary64) x) (cbrt.f64 x))
	97.7%	(.f64 (.f64 (/.f64 #s(literal -1 binary64) (cbrt.f64 x)) (/.f64 #s(literal -1 binary64) (cbrt.f64 x))) #s(literal 1/3 binary64))
	98.4%	(.f64 (.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))
	98.3%	(.f64 (.f64 #s(literal -1/3 binary64) (cbrt.f64 x)) (/.f64 #s(literal -1 binary64) x))
	90.4%	(*.f64 (exp.f64 (log.f64 (pow.f64 x #s(literal -2/3 binary64)))) #s(literal 1/3 binary64))
	97.7%	(*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x)))
	97.8%	(*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))))
	97.7%	(.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) x))) (cbrt.f64 (neg.f64 x))))
	97.8%	(*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (neg.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -4 binary64)))) (cbrt.f64 (neg.f64 x))))
	97.7%	(.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (neg.f64 (pow.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 x)) #s(literal 2 binary64)))) (cbrt.f64 (neg.f64 x))))
	48.1%	(.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (cbrt.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 x x))))))
	21.5%	(.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (/.f64 (/.f64 #s(literal -1 binary64) x) x)) (/.f64 x (.f64 x (.f64 x x))))))
✓	48.1%	(.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))
	31.8%	(.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (/.f64 #s(literal -1 binary64) (*.f64 x x)))))))
	31.8%	(.f64 #s(literal 1/3 binary64) (cbrt.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x)))

Compiler

Compiled 1707 to 753 computations (55.9% saved)

regimes53.0ms (0.6%)

Counts

95 → 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 (/.f64 #s(literal 1/3 binary64) x) (cbrt.f64 x))
(*.f64 (/.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64))
(/.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 x x)))
(/.f64 (cbrt.f64 x) (/.f64 x #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 1/3 binary64) (pow.f64 (.f64 x x) #s(literal -1/3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))) #s(literal 1/3 binary64))
(.f64 (pow.f64 (.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/3 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) #s(literal 1/3 binary64))
(/.f64 #s(literal 1/3 binary64) (*.f64 x (pow.f64 x #s(literal -1/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/3 binary64)))
(/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1/3 binary64))) x)
(.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 (.f64 #s(literal -1/3 binary64) (cbrt.f64 x)) (/.f64 #s(literal -1 binary64) x))
(.f64 (.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (cbrt.f64 x))) #s(literal 1/3 binary64))
(/.f64 (*.f64 (cbrt.f64 x) #s(literal -1/3 binary64)) (-.f64 #s(literal 0 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))))
(/.f64 (.f64 (pow.f64 x #s(literal 4/3 binary64)) #s(literal 1/3 binary64)) (.f64 x x))
(.f64 #s(literal 1/3 binary64) (cbrt.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))))
(.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (cbrt.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 x x))))))
(.f64 #s(literal 1/3 binary64) (cbrt.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x)))
(.f64 (/.f64 (.f64 #s(literal -1/3 binary64) (cbrt.f64 x)) (-.f64 #s(literal 0 binary64) (*.f64 x x))) x)
(/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 4/3 binary64)) (/.f64 #s(literal -1 binary64) (.f64 x x)))))
(.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (*.f64 x (/.f64 #s(literal 1 binary64) x)))))
(/.f64 (.f64 #s(literal 1/3 binary64) (cbrt.f64 (.f64 (.f64 x (.f64 x x)) x))) (*.f64 x x))
(.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (/.f64 #s(literal -1 binary64) (*.f64 x x)))))))
(.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (/.f64 (/.f64 #s(literal -1 binary64) x) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
(.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (/.f64 (/.f64 #s(literal -1 binary64) x) x)) (/.f64 x (.f64 x (.f64 x x))))))
(.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) #s(literal -1 binary64)) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 0 binary64)) x))))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal -2 binary64))))
(*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64))
(/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(.f64 (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 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x))
(.f64 #s(literal 1/3 binary64) (exp.f64 (neg.f64 (.f64 #s(literal 2/3 binary64) (log.f64 x)))))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))
(*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 1/3 binary64)))
(*.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 (.f64 #s(literal 1/3 binary64) (pow.f64 (sqrt.f64 x) #s(literal 8/3 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 (.f64 (/.f64 #s(literal -1 binary64) (cbrt.f64 x)) (/.f64 #s(literal -1 binary64) (cbrt.f64 x))) #s(literal 1/3 binary64))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (cbrt.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) (cbrt.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 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/3 binary64))))
(/.f64 (.f64 #s(literal 1/3 binary64) (exp.f64 (.f64 (log.f64 x) #s(literal 4/3 binary64)))) (*.f64 x x))
(/.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
(/.f64 (/.f64 (+.f64 (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64)))) x) x)
(-.f64 (cbrt.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (.f64 x x) #s(literal -1 binary64)))) (cbrt.f64 x))
(/.f64 (+.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 (cbrt.f64 x) #s(literal -1/9 binary64)) (.f64 (.f64 #s(literal 1/3 binary64) x) (cbrt.f64 x))) (.f64 x x))
(.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal -1 binary64) x))) (cbrt.f64 (neg.f64 x))))
(*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (neg.f64 x))))
(.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) x))) (cbrt.f64 (neg.f64 x))))
(/.f64 (+.f64 (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (.f64 x (.f64 x (.f64 x x)))))) (.f64 x x))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -6 binary64))))
(*.f64 (exp.f64 (log.f64 (pow.f64 x #s(literal -2/3 binary64)))) #s(literal 1/3 binary64))
(-.f64 (exp.f64 (*.f64 #s(literal 1/3 binary64) (log1p.f64 x))) (cbrt.f64 x))
(.f64 (exp.f64 (.f64 (log.f64 (pow.f64 x #s(literal 2/3 binary64))) #s(literal -1 binary64))) #s(literal 1/3 binary64))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (exp.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 x))))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 2/3 binary64)))
(*.f64 (/.f64 (/.f64 (cbrt.f64 x) (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 1/4 binary64))) #s(literal 1/3 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 (+.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 (+.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 #s(literal 1 binary64) 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 #s(literal 1/3 binary64) (/.f64 (/.f64 (cbrt.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 0 binary64)))) (cbrt.f64 (neg.f64 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))
(*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal -3 binary64)))) (cbrt.f64 (neg.f64 x))))
(*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (neg.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)))) (cbrt.f64 (neg.f64 x))))
(*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (neg.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -4 binary64)))) (cbrt.f64 (neg.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)))
(.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (neg.f64 (pow.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 x)) #s(literal 2 binary64)))) (cbrt.f64 (neg.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 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (neg.f64 (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))) (cbrt.f64 (neg.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 (+.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))))) (cbrt.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))))
(/.f64 (+.f64 (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (+.f64 (.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (.f64 #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) (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))
(.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (neg.f64 (.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))) (cbrt.f64 (neg.f64 x))))
(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 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)))))

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
98.5%	1	`x`
98.5%	1	`(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes2.0ms (0%)

Counts

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
98.4%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
89.8%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
1.8%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	21
1	20	21
2	24	21
3	26	21
4	27	21

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness1.3s (13.6%)

Rules

3736×	`-lowering-.f32`
3736×	`-lowering-.f64`
3426×	`-lowering-.f32`
3426×	`-lowering-.f64`
3184×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	114
1	186	109
2	1336	109
0	8418	101
0	34	162
1	165	105
2	1034	89
3	6725	89
0	8897	78
0	27	113
1	139	94
2	933	93
0	8423	84
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

Compiler

Compiled 88 to 65 computations (26.1% saved)

preprocess41.0ms (0.4%)

Compiler: Compiled 112 to 58 computations (48.2% 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

analyze2.0ms (0%)

sample1.8s (19.5%)

preprocess37.0ms (0.4%)

explain122.0ms (1.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify15.0ms (0.2%)

localize56.0ms (0.6%)

series12.0ms (0.1%)

rewrite236.0ms (2.5%)

simplify202.0ms (2.2%)

eval38.0ms (0.4%)

prune71.0ms (0.8%)

simplify146.0ms (1.6%)

localize1.2s (12.3%)

series40.0ms (0.4%)

rewrite348.0ms (3.7%)

simplify324.0ms (3.5%)

eval198.0ms (2.1%)

prune123.0ms (1.3%)

simplify146.0ms (1.6%)

localize326.0ms (3.5%)

series12.0ms (0.1%)

rewrite343.0ms (3.7%)

simplify253.0ms (2.7%)

eval157.0ms (1.7%)

prune183.0ms (2%)

simplify181.0ms (1.9%)

localize204.0ms (2.2%)

series87.0ms (0.9%)

rewrite402.0ms (4.3%)

simplify163.0ms (1.7%)

eval347.0ms (3.7%)

prune236.0ms (2.5%)

regimes53.0ms (0.6%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes1.0ms (0%)

simplify9.0ms (0.1%)

soundness1.3s (13.6%)

preprocess41.0ms (0.4%)

end0.0ms (0%)

Profiling

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