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)

sample2.0s (17.4%)

Results

919.0ms	4726×	1	valid
702.0ms	3368×	2	valid
11.0ms	162×	0	valid

Precisions

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

ival-cbrt: 289.0ms (28.6% of total)

...c/correct-round.rkt:119:19: 145.0ms (14.3% of total)

ival-add: 143.0ms (14.1% of total)

backward-pass: 138.0ms (13.6% of total)

ival->: 108.0ms (10.7% of total)

ival-sub: 107.0ms (10.6% of total)

ival-<: 36.0ms (3.6% of total)

ival-and: 28.0ms (2.8% of total)

const: 17.0ms (1.7% of total)

Bogosity

preprocess39.0ms (0.3%)

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)))

explain116.0ms (1%)

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
255	1	(157.83282348267716)	-	`(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))`
0	0	-	-	`x`
0	0	-	-	`(cbrt.f64 x)`
0	0	-	-	`#s(literal 1 binary64)`
0	0	-	-	`(cbrt.f64 (+.f64 x #s(literal 1 binary64)))`
0	0	-	-	`(+.f64 x #s(literal 1 binary64))`

Results

46.0ms	226×	2	valid
35.0ms	270×	1	valid
1.0ms	16×	0	valid

Compiler

Compiled 48 to 20 computations (58.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-cbrt: 17.0ms (38.6% of total)

backward-pass: 10.0ms (22.7% of total)

ival-add: 8.0ms (18.2% of total)

ival-sub: 7.0ms (15.9% of total)

const: 1.0ms (2.3% of total)

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	7.2%	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))

Compiler

Compiled 8 to 6 computations (25% saved)

simplify24.0ms (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)

localize54.0ms (0.5%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 x #s(literal 1 binary64))
✓	accuracy	99.1%	(cbrt.f64 (+.f64 x #s(literal 1 binary64)))
✓	accuracy	99.1%	(cbrt.f64 x)
✓	accuracy	7.3%	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))

Results

26.0ms	113×	2	valid
17.0ms	135×	1	valid
0.0ms	8×	0	valid

Compiler

Compiled 20 to 7 computations (65% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-cbrt: 9.0ms (41.9% of total)

backward-pass: 5.0ms (23.3% of total)

ival-add: 4.0ms (18.6% of total)

ival-sub: 3.0ms (14% of total)

const: 1.0ms (4.7% of total)

series18.0ms (0.2%)

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
9.0ms	x	@	inf	(- (cbrt (+ x 1)) (cbrt x))
4.0ms	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)

rewrite233.0ms (2.1%)

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)))
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(/.f64 (+.f64 (.f64 x (.f64 x x)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -1 binary64)) (.f64 (+.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 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -1 binary64)) (.f64 (+.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 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)))

simplify181.0ms (1.6%)

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)))

eval41.0ms (0.4%)

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

prune77.0ms (0.7%)

Pruning

27 alts after pruning (26 fresh and 1 done)

	Pruned	Kept	Total
New	295	26	321
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	295	27	322

Accuracy

50.0%

Counts

322 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	4.8%	(fma.f64 (pow.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/3 binary64)) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -1/3 binary64)) (-.f64 #s(literal 0 binary64) (cbrt.f64 x)))
	6.8%	(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 2/3 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x)))))
	6.6%	(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 2/3 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x)))))
▶	4.7%	(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) (-.f64 #s(literal 0 binary64) (cbrt.f64 x)))
	7.6%	(fma.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (.f64 x (+.f64 x #s(literal 1 binary64))))))) (neg.f64 (/.f64 x (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))))))))
	4.9%	(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (.f64 x (+.f64 x #s(literal 1 binary64))))))) #s(literal 2 binary64)) (pow.f64 (/.f64 x (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (.f64 x (+.f64 x #s(literal 1 binary64))))))) #s(literal 2 binary64))) (+.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (.f64 x (+.f64 x #s(literal 1 binary64))))))) (/.f64 x (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))))))))
▶	6.2%	(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 4/3 binary64)) (pow.f64 x #s(literal 4/3 binary64))) (*.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2/3 binary64)))))
	7.4%	(/.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)))
	22.8%	(/.f64 (+.f64 (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (+.f64 (.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)))) (.f64 #s(literal -10/243 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))) (.f64 x x))
	22.5%	(/.f64 (+.f64 (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (+.f64 (.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)))))) (*.f64 x x))
	21.9%	(/.f64 (+.f64 (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))) (*.f64 x x))
	6.2%	(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 4/3 binary64)) (pow.f64 x #s(literal 4/3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x)))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2/3 binary64))))
	4.7%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))
	7.4%	(-.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))))
	5.4%	(-.f64 (exp.f64 (*.f64 #s(literal 1/3 binary64) (log1p.f64 x))) (cbrt.f64 x))
	7.0%	(-.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))
▶	8.0%	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 2/3 binary64)))
	8.0%	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)))
	8.0%	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64)))
	8.0%	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 (pow.f64 x #s(literal 2/9 binary64)) (pow.f64 x #s(literal 1/9 binary64))))
	7.4%	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (exp.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 x))))
✓	7.2%	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
	6.4%	(-.f64 (cbrt.f64 (exp.f64 (log1p.f64 x))) (cbrt.f64 x))
▶	1.8%	(-.f64 #s(literal 1 binary64) (cbrt.f64 x))
	7.1%	(*.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))))
▶	47.8%	(.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))
	2.9%	(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 1104 to 610 computations (44.7% saved)

simplify139.0ms (1.2%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	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 1/3 binary64)) (cbrt.f64 x)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2/3 binary64))))
✓	cost-diff	64	(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 4/3 binary64)) (pow.f64 x #s(literal 4/3 binary64))) (*.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2/3 binary64)))))
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) (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 1/6 binary64))
✓	cost-diff	13184	(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)))
✓	cost-diff	0	(cbrt.f64 (+.f64 x #s(literal 1 binary64)))
✓	cost-diff	64	(pow.f64 x #s(literal 1/2 binary64))
✓	cost-diff	64	(pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 2/3 binary64))
✓	cost-diff	64	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 2/3 binary64)))
✓	cost-diff	0	(cbrt.f64 x)
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (cbrt.f64 x))
✓	cost-diff	0	(*.f64 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

1906×	`fmsub-define`
1896×	`fma-lowering-fma.f32`
1896×	`fma-lowering-fma.f64`
1650×	`fnmadd-define`
1624×	`sum4-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	42949673039
1	71	42949673038
2	139	42949673038
3	382	42949673038
4	1149	42949673038
5	2449	42949673038
6	4602	42949673038
0	8018	179

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* 1/3 (cbrt (/ 1 (* x x))))
1/3
(cbrt (/ 1 (* x x)))
(/ 1 (* x x))
1
(* x x)
x
(- 1 (cbrt x))
1
(cbrt x)
x
(- (cbrt (+ x 1)) (pow (pow x 1/2) 2/3))
(cbrt (+ x 1))
(+ x 1)
x
1
(pow (pow x 1/2) 2/3)
(pow x 1/2)
1/2
2/3
(+ (* (pow (+ x 1) 1/6) (pow (+ x 1) 1/6)) (- 0 (cbrt x)))
(pow (+ x 1) 1/6)
(+ x 1)
x
1
1/6
(- 0 (cbrt x))
0
(cbrt x)
(/ (- (pow (+ x 1) 4/3) (pow x 4/3)) (* (+ (pow (+ x 1) 1/3) (cbrt x)) (+ (pow (+ x 1) 2/3) (pow x 2/3))))
(- (pow (+ x 1) 4/3) (pow x 4/3))
(pow (+ x 1) 4/3)
(+ x 1)
x
1
4/3
(pow x 4/3)
(* (+ (pow (+ x 1) 1/3) (cbrt x)) (+ (pow (+ x 1) 2/3) (pow x 2/3)))
(+ (pow (+ x 1) 1/3) (cbrt x))
(pow (+ x 1) 1/3)
1/3
(cbrt x)
(+ (pow (+ x 1) 2/3) (pow x 2/3))
(pow (+ x 1) 2/3)
2/3
(pow x 2/3)

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

localize806.0ms (7.2%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64))
✓	accuracy	99.9%	(pow.f64 x #s(literal 4/3 binary64))
✓	accuracy	99.9%	(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 4/3 binary64))
✓	accuracy	99.5%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 4/3 binary64)) (pow.f64 x #s(literal 4/3 binary64)))
✓	accuracy	100.0%	(+.f64 x #s(literal 1 binary64))
✓	accuracy	100.0%	(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64))
✓	accuracy	100.0%	(cbrt.f64 x)
✓	accuracy	99.4%	(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)))
✓	accuracy	100.0%	(+.f64 x #s(literal 1 binary64))
✓	accuracy	100.0%	(cbrt.f64 (+.f64 x #s(literal 1 binary64)))
✓	accuracy	99.9%	(pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 2/3 binary64))
✓	accuracy	99.4%	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 2/3 binary64)))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (cbrt.f64 x))
✓	accuracy	100.0%	(cbrt.f64 x)
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (*.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

704.0ms	248×	5	exit
4.0ms	7×	0	valid
1.0ms	1×	1	valid

Compiler

Compiled 200 to 33 computations (83.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 507.0ms

ival-pow: 253.0ms (49.9% of total)

backward-pass: 100.0ms (19.7% of total)

...c/correct-round.rkt:119:19: 48.0ms (9.5% of total)

ival-mult: 23.0ms (4.5% of total)

ival-add: 19.0ms (3.7% of total)

compiled-spec: 18.0ms (3.6% of total)

ival-sub: 16.0ms (3.2% of total)

ival-cbrt: 16.0ms (3.2% of total)

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

const: 2.0ms (0.4% of total)

series46.0ms (0.4%)

Counts

22 → 264

Calls

Call 1

Inputs
#<alt (* 1/3 (cbrt (/ 1 (* x x))))>
#<alt (cbrt (/ 1 (* x x)))>
#<alt (/ 1 (* x x))>
#<alt (* x x)>
#<alt (- 1 (cbrt x))>
#<alt (cbrt x)>
#<alt (- (cbrt (+ x 1)) (pow (pow x 1/2) 2/3))>
#<alt (pow (pow x 1/2) 2/3)>
#<alt (pow x 1/2)>
#<alt (cbrt (+ x 1))>
#<alt (+ (* (pow (+ x 1) 1/6) (pow (+ x 1) 1/6)) (- 0 (cbrt x)))>
#<alt (pow (+ x 1) 1/6)>
#<alt (+ x 1)>
#<alt (- 0 (cbrt x))>
#<alt (/ (- (pow (+ x 1) 4/3) (pow x 4/3)) (* (+ (pow (+ x 1) 1/3) (cbrt x)) (+ (pow (+ x 1) 2/3) (pow x 2/3))))>
#<alt (* (+ (pow (+ x 1) 1/3) (cbrt x)) (+ (pow (+ x 1) 2/3) (pow x 2/3)))>
#<alt (+ (pow (+ x 1) 1/3) (cbrt x))>
#<alt (pow (+ x 1) 1/3)>
#<alt (- (pow (+ x 1) 4/3) (pow x 4/3))>
#<alt (pow (+ x 1) 4/3)>
#<alt (pow x 4/3)>
#<alt (pow (+ x 1) 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 (* x (- (* (cbrt (/ 1 (pow x 2))) (cbrt -1)) (cbrt (/ (pow (sqrt -1) 2) (pow x 2))))))>
#<alt (* -1 (* x (- (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (cbrt (/ (pow (sqrt -1) 2) (pow x 2))))))>
#<alt (* -1 (* x (- (+ (* -1 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (cbrt (/ (pow (sqrt -1) 2) (pow x 2))))))>
#<alt (* -1 (* x (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (cbrt (/ (pow (sqrt -1) 2) (pow x 2))))))>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (* -1 (cbrt (* x (pow (sqrt -1) 2))))>
#<alt (* -1 (cbrt (* x (pow (sqrt -1) 2))))>
#<alt (* -1 (cbrt (* x (pow (sqrt -1) 2))))>
#<alt (* -1 (cbrt (* x (pow (sqrt -1) 2))))>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt 1>
#<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 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 (* 1/6 x))>
#<alt (+ 1 (* x (+ 1/6 (* -5/72 x))))>
#<alt (+ 1 (* x (+ 1/6 (* x (- (* 55/1296 x) 5/72)))))>
#<alt (pow (* 1 x) 1/6)>
#<alt (+ (* 1/6 (pow (/ 1 (pow x 5)) 1/6)) (pow (* 1 x) 1/6))>
#<alt (+ (* -5/72 (pow (/ 1 (pow x 11)) 1/6)) (+ (* 1/6 (pow (/ 1 (pow x 5)) 1/6)) (pow (* 1 x) 1/6)))>
#<alt (+ (* -5/72 (pow (/ 1 (pow x 11)) 1/6)) (+ (* 55/1296 (pow (/ 1 (pow x 17)) 1/6)) (+ (* 1/6 (pow (/ 1 (pow x 5)) 1/6)) (pow (* 1 x) 1/6))))>
#<alt (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x))))))>
#<alt (+ (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/6 (/ (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) x)))>
#<alt (+ (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (+ (* -1/6 (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x))))))) (* 5/72 (/ (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) x))) x)))>
#<alt (+ (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (+ (* -1 (/ (+ (* -5/72 (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x))))))) (* 55/1296 (/ (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) x))) x)) (* -1/6 (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))))) x)))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* -1 (cbrt x))>
#<alt (* -1 (cbrt x))>
#<alt (* -1 (cbrt x))>
#<alt (* -1 (cbrt x))>
#<alt (* -1 (cbrt x))>
#<alt (* -1 (cbrt x))>
#<alt (* -1 (cbrt x))>
#<alt (* -1 (cbrt x))>
#<alt (* (cbrt x) (cbrt -1))>
#<alt (* (cbrt x) (cbrt -1))>
#<alt (* (cbrt x) (cbrt -1))>
#<alt (* (cbrt x) (cbrt -1))>
#<alt (/ 1 (* (+ 1 (cbrt x)) (+ 1 (cbrt (pow x 2)))))>
#<alt (+ (* x (- (* 4/3 (/ 1 (* (+ 1 (cbrt x)) (+ 1 (cbrt (pow x 2)))))) (+ (* 1/3 (/ 1 (* (pow (+ 1 (cbrt x)) 2) (+ 1 (cbrt (pow x 2)))))) (+ (* 2/3 (/ 1 (* (+ 1 (cbrt x)) (pow (+ 1 (cbrt (pow x 2))) 2)))) (* (cbrt x) (/ 1 (* (+ 1 (cbrt x)) (+ 1 (cbrt (pow x 2)))))))))) (/ 1 (* (+ 1 (cbrt x)) (+ 1 (cbrt (pow x 2))))))>
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#<alt (* 2 (* (cbrt (pow x 4)) (* (cbrt -1) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (cbrt -1))))))>
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#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/27 (* (cbrt (/ (pow x 4) (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))) (/ 1 (cbrt -1)))) (+ (* -1/27 (* (cbrt (/ (pow x 10) (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))) (/ 1 (pow (cbrt -1) 5)))) (+ (* 5/81 (* (cbrt (pow x 16)) (/ (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (cbrt -1))) (pow (cbrt -1) 8)))) (* 10/81 (* (cbrt (/ 1 (* (pow x 2) (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 8)))) (cbrt -1)))))) (pow x 3))) (+ (* -2/9 (* (cbrt (/ 1 (* (pow x 2) (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5)))) (pow (cbrt -1) 2))) (+ (* -1/9 (* (cbrt (pow x 10)) (/ (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (cbrt -1))) (pow (cbrt -1) 5)))) (* 1/9 (* (cbrt (/ (pow x 4) (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))) (/ 1 (pow (cbrt -1) 2))))))) (pow x 3))) (+ (* 1/3 (* (cbrt (pow x 4)) (/ (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (cbrt -1))) (pow (cbrt -1) 2)))) (* 2/3 (* (cbrt (/ 1 (* (pow x 2) (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2)))) (cbrt -1))))) (pow x 3))) (* 2 (* (cbrt (/ 1 (pow x 2))) (* (cbrt -1) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (cbrt -1))))))))>
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#<alt 1>
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#<alt 1>
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#<alt 1>
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#<alt (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2)))))))>
#<alt (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (* -1/9 (* (/ 1 (pow x 6)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))))))>
#<alt (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (* -1/9 (* (/ 1 (pow x 6)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (+ (* 5/81 (* (/ 1 (pow x 9)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 8))))) (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2)))))))))>
#<alt (* -1 (* (* x (cbrt -1)) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))))>
#<alt (* -1 (* x (+ (* -1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (/ (cbrt -1) (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (* 1/3 (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (pow x 3))) (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt -1) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (* -5/81 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 8)))))) (pow x 3))) (* 1/3 (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (pow x 3))) (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))))))>

Calls

66 calls:

Time	Variable		Point	Expression
9.0ms	x	@	inf	(* (+ (pow (+ x 1) 1/3) (cbrt x)) (+ (pow (+ x 1) 2/3) (pow x 2/3)))
3.0ms	x	@	-inf	(pow (pow x 1/2) 2/3)
3.0ms	x	@	-inf	(* (+ (pow (+ x 1) 1/3) (cbrt x)) (+ (pow (+ x 1) 2/3) (pow x 2/3)))
3.0ms	x	@	0	(/ (- (pow (+ x 1) 4/3) (pow x 4/3)) (* (+ (pow (+ x 1) 1/3) (cbrt x)) (+ (pow (+ x 1) 2/3) (pow x 2/3))))
3.0ms	x	@	-inf	(/ (- (pow (+ x 1) 4/3) (pow x 4/3)) (* (+ (pow (+ x 1) 1/3) (cbrt x)) (+ (pow (+ x 1) 2/3) (pow x 2/3))))

rewrite282.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

2440×	`-lowering-.f32`
2440×	`-lowering-.f64`
1386×	`+-lowering-+.f64`
1386×	`+-lowering-+.f32`
1270×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	128
1	225	114
2	1708	112
0	9458	109

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 1245

Calls

Call 1

Inputs
(* 1/3 (cbrt (/ 1 (* x x))))
(cbrt (/ 1 (* x x)))
(/ 1 (* x x))
(* x x)
(- 1 (cbrt x))
(cbrt x)
(- (cbrt (+ x 1)) (pow (pow x 1/2) 2/3))
(pow (pow x 1/2) 2/3)
(pow x 1/2)
(cbrt (+ x 1))
(+ (* (pow (+ x 1) 1/6) (pow (+ x 1) 1/6)) (- 0 (cbrt x)))
(pow (+ x 1) 1/6)
(+ x 1)
(- 0 (cbrt x))
(/ (- (pow (+ x 1) 4/3) (pow x 4/3)) (* (+ (pow (+ x 1) 1/3) (cbrt 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) 1/3) (cbrt x))
(pow (+ x 1) 1/3)
(- (pow (+ x 1) 4/3) (pow x 4/3))
(pow (+ x 1) 4/3)
(pow x 4/3)
(pow (+ x 1) 2/3)

Outputs
(/.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))
(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) (pow.f64 x #s(literal 2/3 binary64)))
(/.f64 (cbrt.f64 #s(literal -1 binary64)) (pow.f64 x #s(literal 2/3 binary64)))
(/.f64 (pow.f64 x #s(literal -1/3 binary64)) (cbrt.f64 x))
(/.f64 (cbrt.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x))) (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 (sqrt.f64 x) #s(literal -4/3 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 x #s(literal -2/3 binary64)))
(*.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 (sqrt.f64 x) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal -1 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 (pow.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64)) (pow.f64 (sqrt.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) (*.f64 x x))
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) 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 (pow.f64 x #s(literal 2/3 binary64)) #s(literal -3 binary64))
(pow.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal -4 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 #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 (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal -2 binary64)) (pow.f64 x #s(literal -2/3 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 4/3 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -2/3 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 4/3 binary64) (log.f64 x)) #s(literal 3/2 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 x x))
(neg.f64 (*.f64 x x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 x (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x x) #s(literal 1 binary64))
(/.f64 (*.f64 x x) #s(literal -1 binary64))
(/.f64 (.f64 x (.f64 x x)) x)
(/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x x))
(/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x (.f64 x x))))
(/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (pow.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 x #s(literal 4/3 binary64)) (.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2/3 binary64))))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (.f64 x (pow.f64 x #s(literal 2/3 binary64))) #s(literal 3 binary64)) (.f64 x (*.f64 x x)))
(/.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 2/3 binary64)) x) #s(literal 3 binary64)) (.f64 x (*.f64 x x)))
(/.f64 (pow.f64 (+.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 x #s(literal 4/3 binary64)) (.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2/3 binary64))))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (+.f64 (.f64 x x) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 4/3 binary64)) (-.f64 #s(literal 0 binary64) (.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 0 binary64)))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 4/3 binary64)) #s(literal 0 binary64)) #s(literal 3 binary64)) (*.f64 x x))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 6 binary64))
(pow.f64 (pow.f64 x #s(literal 4/3 binary64)) #s(literal 3/2 binary64))
(pow.f64 (.f64 x (.f64 x x)) #s(literal 2/3 binary64))
(pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 4 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 4/3 binary64))
(.f64 #s(literal 1 binary64) (.f64 x x))
(*.f64 x x)
(*.f64 x (/.f64 x #s(literal 1 binary64)))
(.f64 (.f64 x x) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 4/3 binary64)) (pow.f64 x #s(literal 2/3 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x x))
(*.f64 (pow.f64 x #s(literal 2/3 binary64)) (pow.f64 x #s(literal 4/3 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x))
(+.f64 #s(literal 1 binary64) (cbrt.f64 x))
(+.f64 (cbrt.f64 x) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (cbrt.f64 x))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (cbrt.f64 x) (pow.f64 x #s(literal 2/3 binary64))))) (/.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (cbrt.f64 x) (pow.f64 x #s(literal 2/3 binary64))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cbrt.f64 x))) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) (+.f64 #s(literal 1 binary64) (cbrt.f64 x))))
(fma.f64 #s(literal 1 binary64) (cbrt.f64 x) #s(literal 1 binary64))
(fma.f64 x (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1 binary64))
(fma.f64 (cbrt.f64 x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (cbrt.f64 x) #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal 2/3 binary64)) (pow.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal 1/6 binary64)) (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64))
(fma.f64 (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/6 binary64))) (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (cbrt.f64 x) (pow.f64 x #s(literal 2/3 binary64)))) (+.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cbrt.f64 x)) (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (+.f64 (cbrt.f64 x) (pow.f64 x #s(literal 2/3 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))) (+.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (cbrt.f64 x) (pow.f64 x #s(literal 2/3 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (cbrt.f64 x))))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (cbrt.f64 x) (pow.f64 x #s(literal 2/3 binary64)))) (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cbrt.f64 x)) (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64)))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (cbrt.f64 x) (pow.f64 x #s(literal 2/3 binary64))))))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cbrt.f64 x))))
(+.f64 (cbrt.f64 x) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (cbrt.f64 x))
(exp.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 x)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 1/6 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 x)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 x)) #s(literal 1/3 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 x)) #s(literal 1/3 binary64))))
(exp.f64 (+.f64 (log.f64 x) (.f64 (.f64 #s(literal -2 binary64) (log.f64 x)) #s(literal 1/3 binary64))))
(-.f64 #s(literal 0 binary64) (cbrt.f64 x))
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2/3 binary64))) (cbrt.f64 x))
(-.f64 (/.f64 #s(literal 0 binary64) (cbrt.f64 x)) (cbrt.f64 x))
(cbrt.f64 x)
(fma.f64 #s(literal 1 binary64) (cbrt.f64 x) #s(literal 0 binary64))
(fma.f64 x (pow.f64 x #s(literal -2/3 binary64)) #s(literal 0 binary64))
(fma.f64 (cbrt.f64 x) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (cbrt.f64 x) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal 2/3 binary64)) (pow.f64 x #s(literal -1/3 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal 1/6 binary64)) (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) (pow.f64 x #s(literal 1/6 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/6 binary64))) (pow.f64 x #s(literal 1/6 binary64)) #s(literal 0 binary64))
(neg.f64 (cbrt.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 x) (pow.f64 x #s(literal 2/3 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/3 binary64)))
(/.f64 x (pow.f64 x #s(literal 2/3 binary64)))
(/.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 x))
(pow.f64 x #s(literal 1/3 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/6 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 1 binary64))
(pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 4/3 binary64))
(pow.f64 (/.f64 (cbrt.f64 x) (pow.f64 x #s(literal 2/3 binary64))) #s(literal -1 binary64))
(pow.f64 (pow.f64 x #s(literal -1/3 binary64)) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 2/3 binary64))
(pow.f64 (exp.f64 #s(literal 2/3 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 x)))
(*.f64 #s(literal 1 binary64) (cbrt.f64 x))
(*.f64 x (pow.f64 x #s(literal -2/3 binary64)))
(*.f64 (cbrt.f64 x) #s(literal 1 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 (pow.f64 x #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 1/6 binary64)) (neg.f64 (pow.f64 x #s(literal 1/6 binary64))))
(*.f64 (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) (pow.f64 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 (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 (cbrt.f64 (pow.f64 x #s(literal 2/3 binary64))) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x #s(literal 2/3 binary64))))
(+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 #s(literal 1 binary64) x)))
(+.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) (cbrt.f64 x))
(+.f64 #s(literal 0 binary64) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 #s(literal 1 binary64) x))))
(+.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (cbrt.f64 x) (cbrt.f64 x)))
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(+.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 #s(literal 1 binary64) x))) (fma.f64 #s(literal -1 binary64) (cbrt.f64 x) (cbrt.f64 x)))
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(pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 8/3 binary64)) (+.f64 (pow.f64 x #s(literal 8/3 binary64)) (pow.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 4/3 binary64)))) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) (.f64 x (.f64 x (*.f64 x x))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 4/3 binary64)) (pow.f64 x #s(literal 4/3 binary64))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 8/3 binary64)) (pow.f64 x #s(literal 8/3 binary64)))) #s(literal -1 binary64))
(.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 8/3 binary64)) (+.f64 (pow.f64 x #s(literal 8/3 binary64)) (pow.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 4/3 binary64))))))
(*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2/3 binary64))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2/3 binary64))))
(*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 8/3 binary64)) (pow.f64 x #s(literal 8/3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 4/3 binary64)) (pow.f64 x #s(literal 4/3 binary64)))))
(exp.f64 (*.f64 #s(literal 4/3 binary64) (log1p.f64 x)))
(exp.f64 (.f64 (.f64 #s(literal 2/3 binary64) (log1p.f64 x)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) #s(literal 2/3 binary64)))
(cbrt.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
(pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 4/3 binary64))
(pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) #s(literal 8 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 2/3 binary64))
(pow.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) #s(literal 1/3 binary64))
(pow.f64 (.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (.f64 (.f64 (+.f64 #s(literal 1 binary64) 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) (+.f64 #s(literal 1 binary64) x))))) #s(literal 1/6 binary64))
(pow.f64 (exp.f64 #s(literal 4/3 binary64)) (log1p.f64 x))
(*.f64 (+.f64 #s(literal 1 binary64) x) (cbrt.f64 (+.f64 #s(literal 1 binary64) x)))
(*.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x))
(*.f64 (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)))
(*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) #s(literal 4/3 binary64)) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 4/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) #s(literal 2/3 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 4/3 binary64)) #s(literal 2/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 4/3 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) #s(literal 4/3 binary64)))
(.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) #s(literal 4/3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) x))) #s(literal 4/3 binary64)))
(.f64 (pow.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 4/3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal 4/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 4/3 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 4/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 4/3 binary64)) #s(literal 2/3 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) #s(literal 2/3 binary64)))
(exp.f64 (*.f64 #s(literal 4/3 binary64) (log.f64 x)))
(exp.f64 (.f64 (.f64 #s(literal 2/3 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2/3 binary64)))
(-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4/3 binary64)))
(cbrt.f64 (.f64 x (.f64 x (*.f64 x x))))
(neg.f64 (pow.f64 x #s(literal 4/3 binary64)))
(pow.f64 x #s(literal 4/3 binary64))
(pow.f64 (*.f64 x x) #s(literal 2/3 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 4 binary64))
(pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 8/3 binary64))
(pow.f64 (exp.f64 #s(literal 4/3 binary64)) (log.f64 x))
(*.f64 x (cbrt.f64 x))
(*.f64 (cbrt.f64 x) x)
(*.f64 (pow.f64 x #s(literal 4/3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 2/3 binary64)))
(*.f64 (pow.f64 x #s(literal 4/3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 4/3 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4/3 binary64)))
(*.f64 (pow.f64 x #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2/3 binary64)))
(*.f64 (pow.f64 x #s(literal 2/3 binary64)) (pow.f64 (/.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 2/3 binary64)) (pow.f64 (pow.f64 x #s(literal 4/3 binary64)) #s(literal 2/3 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 4/3 binary64)) (pow.f64 x #s(literal 4/3 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 4/3 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 4/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 4/3 binary64)) (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 4/3 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 4/3 binary64)) #s(literal 2/3 binary64)) (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 2/3 binary64)))
(exp.f64 (*.f64 #s(literal 2/3 binary64) (log1p.f64 x)))
(exp.f64 (.f64 (.f64 #s(literal 1/3 binary64) (log1p.f64 x)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/6 binary64) (log1p.f64 x)) #s(literal 4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) #s(literal 1/6 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 #s(literal 4/3 binary64) (log1p.f64 x)) #s(literal 3 binary64)) #s(literal 1/6 binary64)))
(cbrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))
(/.f64 (cbrt.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (cbrt.f64 (.f64 (+.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) x)) (+.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (cbrt.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 (.f64 x x) #s(literal -1 binary64)))) (cbrt.f64 (.f64 (+.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal -1 binary64)))))
(/.f64 (cbrt.f64 (.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (cbrt.f64 (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (cbrt.f64 (.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (+.f64 (.f64 x x) #s(literal -1 binary64)))) (cbrt.f64 (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))))
(/.f64 (cbrt.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (cbrt.f64 (+.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) x))))
(/.f64 (cbrt.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 (.f64 x x) #s(literal -1 binary64)))) (cbrt.f64 (+.f64 x #s(literal -1 binary64))))
(/.f64 (cbrt.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) x))) (cbrt.f64 (+.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) x))))
(/.f64 (cbrt.f64 (.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))) (cbrt.f64 (+.f64 x #s(literal -1 binary64))))
(pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64))
(pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) #s(literal 4 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 4/3 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))
(pow.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) #s(literal 1/6 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/12 binary64)) #s(literal 8 binary64))
(pow.f64 (exp.f64 #s(literal 2/3 binary64)) (log1p.f64 x))
(*.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) (cbrt.f64 (+.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2/3 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) #s(literal 2/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) #s(literal 2/3 binary64)) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2/3 binary64)))
(.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) #s(literal 2/3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) x))) #s(literal 2/3 binary64)))
(.f64 (pow.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 2/3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal 2/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 2/3 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 2/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 4/3 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 4/3 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 4/3 binary64)) #s(literal 1/6 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 8/3 binary64)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 8/3 binary64)) #s(literal 1/6 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 4/3 binary64)) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64))) (cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 4/3 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 4/3 binary64))) (cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64))))

simplify347.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

5932×	`-lowering-.f32`
5932×	`-lowering-.f64`
4064×	`+-lowering-+.f64`
4064×	`+-lowering-+.f32`
1998×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	700	5397
1	2149	5118
0	8250	5118

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

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 (* x (- (* (cbrt (/ 1 (pow x 2))) (cbrt -1)) (cbrt (/ (pow (sqrt -1) 2) (pow x 2))))))
(* -1 (* x (- (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (cbrt (/ (pow (sqrt -1) 2) (pow x 2))))))
(* -1 (* x (- (+ (* -1 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (cbrt (/ (pow (sqrt -1) 2) (pow x 2))))))
(* -1 (* x (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (cbrt (/ (pow (sqrt -1) 2) (pow x 2))))))
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(* -1 (cbrt (* x (pow (sqrt -1) 2))))
(* -1 (cbrt (* x (pow (sqrt -1) 2))))
(* -1 (cbrt (* x (pow (sqrt -1) 2))))
(* -1 (cbrt (* x (pow (sqrt -1) 2))))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
1
(+ 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)))))))
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(/ (+ (* -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
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(pow (* 1 x) 1/6)
(+ (* 1/6 (pow (/ 1 (pow x 5)) 1/6)) (pow (* 1 x) 1/6))
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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)))
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(/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))))
(/ (+ (* 2/3 (/ (pow x 2) (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))))) (/ x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))))) (pow x 3))
(/ (+ (* 2/3 (/ (pow x 2) (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))))) (+ (/ 2/3 (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))) (/ x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))))) (pow x 3))
(/ (- (+ (* 1/6 (/ (- 1 (* 16/3 (pow x 2))) (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))))) (+ (* 2/3 (/ (pow x 2) (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))))) (+ (/ 2/3 (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))) (/ x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))))))) (* 1/3 (* (cbrt (/ 1 x)) (/ (+ (* 1/3 (* (cbrt (pow x 4)) (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))))) (* 2/3 (cbrt (/ 1 (* (pow x 2) (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2)))))) (pow (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))) 2))))) (pow x 3))
(/ 2/3 (* x (* (cbrt -1) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (cbrt -1))))))
(* -1 (/ (+ (* -1 (/ x (* (cbrt -1) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (cbrt -1)))))) (* -2/3 (/ (pow x 2) (* (cbrt -1) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (cbrt -1))))))) (pow x 3)))
(* -1 (/ (+ (* -1 (/ (+ (* 2/3 (/ x (* (cbrt -1) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (cbrt -1)))))) (/ (pow x 2) (* (cbrt -1) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (cbrt -1)))))) x)) (* -2/3 (/ (pow x 2) (* (cbrt -1) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (cbrt -1))))))) (pow x 3)))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ (* (pow x 2) (- 1 (* 16/3 (pow x 2)))) (* (cbrt -1) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (cbrt -1)))))) (* -1/3 (* (cbrt (pow x 8)) (/ (+ (* 1/3 (* (cbrt (pow x 4)) (/ (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (cbrt -1))) (pow (cbrt -1) 2)))) (* 2/3 (* (cbrt (/ 1 (* (pow x 2) (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2)))) (cbrt -1)))) (* (pow (cbrt -1) 2) (pow (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (cbrt -1))) 2)))))) x)) (* 2/3 (/ (pow x 2) (* (cbrt -1) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (cbrt -1))))))) x)) (/ (pow x 2) (* (cbrt -1) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (cbrt -1)))))) x)) (* -2/3 (/ (pow x 2) (* (cbrt -1) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (cbrt -1))))))) (pow x 3)))
(* (+ 1 (cbrt x)) (+ 1 (cbrt (pow x 2))))
(+ (* x (+ (* 1/3 (+ 1 (cbrt (pow x 2)))) (* 2/3 (+ 1 (cbrt x))))) (* (+ 1 (cbrt x)) (+ 1 (cbrt (pow x 2)))))
(+ (* x (+ (* 1/3 (+ 1 (cbrt (pow x 2)))) (+ (* 2/3 (+ 1 (cbrt x))) (* x (+ 2/9 (+ (* -1/9 (+ 1 (cbrt x))) (* -1/9 (+ 1 (cbrt (pow x 2)))))))))) (* (+ 1 (cbrt x)) (+ 1 (cbrt (pow x 2)))))
(+ (* x (+ (* 1/3 (+ 1 (cbrt (pow x 2)))) (+ (* 2/3 (+ 1 (cbrt x))) (* x (+ 2/9 (+ (* -1/9 (+ 1 (cbrt x))) (+ (* -1/9 (+ 1 (cbrt (pow x 2)))) (* x (- (+ (* 4/81 (+ 1 (cbrt x))) (* 5/81 (+ 1 (cbrt (pow x 2))))) 1/9))))))))) (* (+ 1 (cbrt x)) (+ 1 (cbrt (pow x 2)))))
(* 2 (* (cbrt (pow x 4)) (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))))
(* (pow x 2) (+ (* 1/3 (* (cbrt (/ 1 (pow x 5))) (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))))) (+ (* 2/3 (cbrt (/ 1 (* (pow x 11) (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (* 2 (* (cbrt (/ 1 (pow x 2))) (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))))))))
(* (pow x 2) (+ (* -2/9 (cbrt (/ 1 (* (pow x 20) (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (+ (* -1/9 (* (cbrt (/ 1 (pow x 8))) (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))))) (+ (* 1/9 (cbrt (/ 1 (* (pow x 14) (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (+ (* 1/3 (* (cbrt (/ 1 (pow x 5))) (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))))) (+ (* 2/3 (cbrt (/ 1 (* (pow x 11) (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (* 2 (* (cbrt (/ 1 (pow x 2))) (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))))))))))
(* (pow x 2) (+ (* -2/9 (cbrt (/ 1 (* (pow x 20) (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (+ (* -1/9 (* (cbrt (/ 1 (pow x 8))) (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))))) (+ (* -1/27 (cbrt (/ 1 (* (pow x 17) (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (+ (* -1/27 (cbrt (/ 1 (* (pow x 23) (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (+ (* 5/81 (* (cbrt (/ 1 (pow x 11))) (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))))) (+ (* 1/9 (cbrt (/ 1 (* (pow x 14) (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (+ (* 10/81 (cbrt (/ 1 (* (pow x 29) (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 8))))) (+ (* 1/3 (* (cbrt (/ 1 (pow x 5))) (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))))) (+ (* 2/3 (cbrt (/ 1 (* (pow x 11) (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (* 2 (* (cbrt (/ 1 (pow x 2))) (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))))))))))))))
(* 2 (* (cbrt (pow x 4)) (* (cbrt -1) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (cbrt -1))))))
(* (pow x 2) (+ (* -1 (/ (+ (* 1/3 (* (cbrt (pow x 4)) (/ (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (cbrt -1))) (pow (cbrt -1) 2)))) (* 2/3 (* (cbrt (/ 1 (* (pow x 2) (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2)))) (cbrt -1)))) (pow x 3))) (* 2 (* (cbrt (/ 1 (pow x 2))) (* (cbrt -1) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (cbrt -1))))))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -2/9 (* (cbrt (/ 1 (* (pow x 2) (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5)))) (pow (cbrt -1) 2))) (+ (* -1/9 (* (cbrt (pow x 10)) (/ (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (cbrt -1))) (pow (cbrt -1) 5)))) (* 1/9 (* (cbrt (/ (pow x 4) (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))) (/ 1 (pow (cbrt -1) 2)))))) (pow x 3))) (+ (* 1/3 (* (cbrt (pow x 4)) (/ (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (cbrt -1))) (pow (cbrt -1) 2)))) (* 2/3 (* (cbrt (/ 1 (* (pow x 2) (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2)))) (cbrt -1))))) (pow x 3))) (* 2 (* (cbrt (/ 1 (pow x 2))) (* (cbrt -1) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (cbrt -1))))))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/27 (* (cbrt (/ (pow x 4) (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))) (/ 1 (cbrt -1)))) (+ (* -1/27 (* (cbrt (/ (pow x 10) (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))) (/ 1 (pow (cbrt -1) 5)))) (+ (* 5/81 (* (cbrt (pow x 16)) (/ (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (cbrt -1))) (pow (cbrt -1) 8)))) (* 10/81 (* (cbrt (/ 1 (* (pow x 2) (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 8)))) (cbrt -1)))))) (pow x 3))) (+ (* -2/9 (* (cbrt (/ 1 (* (pow x 2) (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5)))) (pow (cbrt -1) 2))) (+ (* -1/9 (* (cbrt (pow x 10)) (/ (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (cbrt -1))) (pow (cbrt -1) 5)))) (* 1/9 (* (cbrt (/ (pow x 4) (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))) (/ 1 (pow (cbrt -1) 2))))))) (pow x 3))) (+ (* 1/3 (* (cbrt (pow x 4)) (/ (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (cbrt -1))) (pow (cbrt -1) 2)))) (* 2/3 (* (cbrt (/ 1 (* (pow x 2) (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2)))) (cbrt -1))))) (pow x 3))) (* 2 (* (cbrt (/ 1 (pow x 2))) (* (cbrt -1) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (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
(+ 1 (* x (- 4/3 (cbrt x))))
(+ 1 (* x (- (+ 4/3 (* 2/9 x)) (cbrt x))))
(+ 1 (* x (- (+ 4/3 (* x (+ 2/9 (* -4/81 x)))) (cbrt x))))
(* 4/3 (cbrt x))
(/ (+ (* 4/3 (cbrt (pow x 4))) (* 2 (cbrt x))) x)
(/ (+ (* 4/3 (cbrt (/ 1 (pow x 2)))) (+ (* 4/3 (cbrt (pow x 4))) (* 2 (cbrt x)))) x)
(/ (+ (* 1/3 (* (cbrt (/ 1 (pow x 5))) (- 1 (* 16/3 (pow x 2))))) (+ (* 4/3 (cbrt (/ 1 (pow x 2)))) (+ (* 4/3 (cbrt (pow x 4))) (* 2 (cbrt x))))) x)
(* 4/3 (cbrt x))
(* -1 (/ (+ (* -2 (cbrt x)) (* -4/3 (cbrt (pow x 4)))) x))
(* -1 (/ (+ (* -4/3 (cbrt (pow x 4))) (* -1 (/ (+ (* 4/3 (cbrt x)) (* 2 (cbrt (pow x 4)))) x))) x))
(* -1 (/ (+ (* -4/3 (cbrt (pow x 4))) (* -1 (/ (+ (* -1 (/ (+ (* -4/3 (cbrt (pow x 4))) (* -1/3 (* (cbrt x) (- 1 (* 16/3 (pow x 2)))))) x)) (* 2 (cbrt (pow x 4)))) x))) x))
1
(+ 1 (* 4/3 x))
(+ 1 (* x (+ 4/3 (* 2/9 x))))
(+ 1 (* x (+ 4/3 (* x (+ 2/9 (* -4/81 x))))))
(cbrt (pow x 4))
(* (pow x 2) (+ (cbrt (/ 1 (pow x 2))) (* 4/3 (cbrt (/ 1 (pow x 5))))))
(* (pow x 2) (+ (cbrt (/ 1 (pow x 2))) (+ (* 4/3 (cbrt (/ 1 (pow x 5)))) (* 2 (cbrt (/ 1 (pow x 8)))))))
(* (pow x 2) (+ (cbrt (/ 1 (pow x 2))) (+ (* 4/3 (cbrt (/ 1 (pow x 5)))) (+ (* 4/3 (cbrt (/ 1 (pow x 11)))) (* 2 (cbrt (/ 1 (pow x 8))))))))
(cbrt (pow x 4))
(* (pow x 2) (+ (cbrt (/ 1 (pow x 2))) (* 4/3 (cbrt (/ 1 (pow x 5))))))
(* (pow x 2) (+ (cbrt (/ 1 (pow x 2))) (* -1 (/ (+ (* -2 (cbrt x)) (* -4/3 (cbrt (pow x 4)))) (pow x 3)))))
(* (pow x 2) (+ (cbrt (/ 1 (pow x 2))) (* -1 (/ (+ (* -4/3 (cbrt (pow x 4))) (* -1 (/ (+ (* 4/3 (cbrt x)) (* 2 (cbrt (pow x 4)))) x))) (pow x 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))
1
(+ 1 (* 2/3 x))
(+ 1 (* x (+ 2/3 (* -1/9 x))))
(+ 1 (* x (+ 2/3 (* x (- (* 4/81 x) 1/9)))))
(* x (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))))
(* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2)))))))
(* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (* -1/9 (* (/ 1 (pow x 6)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))))))
(* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (* -1/9 (* (/ 1 (pow x 6)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (+ (* 5/81 (* (/ 1 (pow x 9)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 8))))) (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2)))))))))
(* -1 (* (* x (cbrt -1)) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))))
(* -1 (* x (+ (* -1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))))))
(* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (/ (cbrt -1) (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (* 1/3 (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (pow x 3))) (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))))))
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt -1) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (* -5/81 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 8)))))) (pow x 3))) (* 1/3 (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (pow x 3))) (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))))))

Outputs
(* 1/3 (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 (.f64 x (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
(* x (+ (* (cbrt (/ 1 (pow x 2))) (cbrt -1)) (/ 1 x)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
(* x (+ (* (cbrt (/ 1 (pow x 2))) (cbrt -1)) (/ 1 x)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(* -1 (* (cbrt x) (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 (*.f64 x #s(literal 5/81 binary64)) #s(literal -1/9 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 (.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 (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 (cbrt.f64 x) #s(literal -1/9 binary64)) (+.f64 (+.f64 (.f64 #s(literal -10/243 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 5/81 binary64))) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))))) (.f64 x x))
(* -1 (* x (- (* (cbrt (/ 1 (pow x 2))) (cbrt -1)) (cbrt (/ (pow (sqrt -1) 2) (pow x 2))))))
(.f64 (-.f64 (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)))) (neg.f64 x))
(* -1 (* x (- (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (cbrt (/ (pow (sqrt -1) 2) (pow x 2))))))
(-.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 #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))) (cbrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)))))))
(* -1 (* x (- (+ (* -1 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (cbrt (/ (pow (sqrt -1) 2) (pow x 2))))))
(.f64 (-.f64 (-.f64 (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) (cbrt.f64 #s(literal -1 binary64))) (/.f64 (+.f64 (/.f64 (.f64 #s(literal 1/9 binary64) (cbrt.f64 x)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (.f64 x (.f64 x x)))) (cbrt.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)))) (neg.f64 x))
(* -1 (* x (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (cbrt (/ (pow (sqrt -1) 2) (pow x 2))))))
(-.f64 #s(literal 0 binary64) (.f64 x (-.f64 (-.f64 (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) (cbrt.f64 #s(literal -1 binary64))) (/.f64 (-.f64 (.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 (+.f64 (.f64 #s(literal -1/9 binary64) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 10 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (/.f64 (.f64 #s(literal -5/81 binary64) (cbrt.f64 (pow.f64 x #s(literal 7 binary64)))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64)))) (.f64 x (.f64 x x)))) (.f64 x (.f64 x x)))) (cbrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x))))))
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(* -1 (cbrt (* x (pow (sqrt -1) 2))))
(-.f64 #s(literal 0 binary64) (cbrt.f64 (neg.f64 x)))
(* -1 (cbrt (* x (pow (sqrt -1) 2))))
(-.f64 #s(literal 0 binary64) (cbrt.f64 (neg.f64 x)))
(* -1 (cbrt (* x (pow (sqrt -1) 2))))
(-.f64 #s(literal 0 binary64) (cbrt.f64 (neg.f64 x)))
(* -1 (cbrt (* x (pow (sqrt -1) 2))))
(-.f64 #s(literal 0 binary64) (cbrt.f64 (neg.f64 x)))
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 x))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 x))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 x))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 x))
1
#s(literal 1 binary64)
(+ 1 (* 1/3 x))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) x))
(+ 1 (* x (+ 1/3 (* -1/9 x))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/9 binary64)))))
(+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9)))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (+.f64 (*.f64 x #s(literal 5/81 binary64)) #s(literal -1/9 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)))))))
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(* 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))))))))
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(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ (* (pow x 2) (- 1 (* 16/3 (pow x 2)))) (* (cbrt -1) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (cbrt -1)))))) (* -1/3 (* (cbrt (pow x 8)) (/ (+ (* 1/3 (* (cbrt (pow x 4)) (/ (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (cbrt -1))) (pow (cbrt -1) 2)))) (* 2/3 (* (cbrt (/ 1 (* (pow x 2) (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2)))) (cbrt -1)))) (* (pow (cbrt -1) 2) (pow (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (cbrt -1))) 2)))))) x)) (* 2/3 (/ (pow x 2) (* (cbrt -1) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (cbrt -1))))))) x)) (/ (pow x 2) (* (cbrt -1) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (cbrt -1)))))) x)) (* -2/3 (/ (pow x 2) (* (cbrt -1) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (cbrt -1))))))) (pow x 3)))
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(* (+ 1 (cbrt x)) (+ 1 (cbrt (pow x 2))))
(.f64 (+.f64 #s(literal 1 binary64) (cbrt.f64 x)) (+.f64 #s(literal 1 binary64) (cbrt.f64 (.f64 x x))))
(+ (* x (+ (* 1/3 (+ 1 (cbrt (pow x 2)))) (* 2/3 (+ 1 (cbrt x))))) (* (+ 1 (cbrt x)) (+ 1 (cbrt (pow x 2)))))
(+.f64 (.f64 (+.f64 #s(literal 1 binary64) (cbrt.f64 x)) (+.f64 #s(literal 1 binary64) (cbrt.f64 (.f64 x x)))) (.f64 x (+.f64 (+.f64 (+.f64 #s(literal 2/3 binary64) (.f64 #s(literal 2/3 binary64) (cbrt.f64 x))) #s(literal 1/3 binary64)) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (.f64 x x))))))
(+ (* x (+ (* 1/3 (+ 1 (cbrt (pow x 2)))) (+ (* 2/3 (+ 1 (cbrt x))) (* x (+ 2/9 (+ (* -1/9 (+ 1 (cbrt x))) (* -1/9 (+ 1 (cbrt (pow x 2)))))))))) (* (+ 1 (cbrt x)) (+ 1 (cbrt (pow x 2)))))
(+.f64 (.f64 (+.f64 #s(literal 1 binary64) (cbrt.f64 x)) (+.f64 #s(literal 1 binary64) (cbrt.f64 (.f64 x x)))) (.f64 x (+.f64 #s(literal 1/3 binary64) (+.f64 (.f64 (cbrt.f64 (.f64 x x)) #s(literal 1/3 binary64)) (+.f64 #s(literal 2/3 binary64) (+.f64 (.f64 (cbrt.f64 x) #s(literal 2/3 binary64)) (.f64 x (+.f64 #s(literal 2/9 binary64) (.f64 #s(literal -1/9 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (cbrt.f64 x)) (+.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x x)))))))))))))
(+ (* x (+ (* 1/3 (+ 1 (cbrt (pow x 2)))) (+ (* 2/3 (+ 1 (cbrt x))) (* x (+ 2/9 (+ (* -1/9 (+ 1 (cbrt x))) (+ (* -1/9 (+ 1 (cbrt (pow x 2)))) (* x (- (+ (* 4/81 (+ 1 (cbrt x))) (* 5/81 (+ 1 (cbrt (pow x 2))))) 1/9))))))))) (* (+ 1 (cbrt x)) (+ 1 (cbrt (pow x 2)))))
(+.f64 (.f64 (+.f64 #s(literal 1 binary64) (cbrt.f64 x)) (+.f64 #s(literal 1 binary64) (cbrt.f64 (.f64 x x)))) (.f64 x (+.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (.f64 x x)))) (+.f64 (+.f64 #s(literal 2/3 binary64) (.f64 #s(literal 2/3 binary64) (cbrt.f64 x))) (.f64 x (+.f64 (+.f64 #s(literal 2/9 binary64) (.f64 #s(literal -1/9 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (cbrt.f64 x)) (+.f64 #s(literal 1 binary64) (cbrt.f64 (.f64 x x)))))) (.f64 x (+.f64 (+.f64 #s(literal 5/81 binary64) (.f64 #s(literal 5/81 binary64) (cbrt.f64 (.f64 x x)))) (+.f64 (+.f64 #s(literal 4/81 binary64) (*.f64 (cbrt.f64 x) #s(literal 4/81 binary64))) #s(literal -1/9 binary64))))))))))
(* 2 (* (cbrt (pow x 4)) (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))))
(.f64 #s(literal 2 binary64) (.f64 (cbrt.f64 (pow.f64 x #s(literal 4 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)))))
(* (pow x 2) (+ (* 1/3 (* (cbrt (/ 1 (pow x 5))) (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))))) (+ (* 2/3 (cbrt (/ 1 (* (pow x 11) (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (* 2 (* (cbrt (/ 1 (pow x 2))) (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))))))))
(.f64 (.f64 x x) (+.f64 (.f64 #s(literal 2/3 binary64) (cbrt.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 11 binary64))) (+.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 #s(literal 2 binary64) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x 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))))) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (.f64 #s(literal 1/3 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))))))))
(* (pow x 2) (+ (* -2/9 (cbrt (/ 1 (* (pow x 20) (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (+ (* -1/9 (* (cbrt (/ 1 (pow x 8))) (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))))) (+ (* 1/9 (cbrt (/ 1 (* (pow x 14) (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (+ (* 1/3 (* (cbrt (/ 1 (pow x 5))) (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))))) (+ (* 2/3 (cbrt (/ 1 (* (pow x 11) (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (* 2 (* (cbrt (/ 1 (pow x 2))) (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))))))))))
(.f64 (.f64 x x) (+.f64 (+.f64 (.f64 #s(literal -2/9 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 20 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) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 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 2/3 binary64) (cbrt.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 11 binary64))) (+.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 #s(literal 2 binary64) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x 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))))) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (.f64 #s(literal 1/3 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 1/9 binary64) (cbrt.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 14 binary64))) (+.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)))))))))
(* (pow x 2) (+ (* -2/9 (cbrt (/ 1 (* (pow x 20) (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (+ (* -1/9 (* (cbrt (/ 1 (pow x 8))) (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))))) (+ (* -1/27 (cbrt (/ 1 (* (pow x 17) (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (+ (* -1/27 (cbrt (/ 1 (* (pow x 23) (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (+ (* 5/81 (* (cbrt (/ 1 (pow x 11))) (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))))) (+ (* 1/9 (cbrt (/ 1 (* (pow x 14) (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (+ (* 10/81 (cbrt (/ 1 (* (pow x 29) (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 8))))) (+ (* 1/3 (* (cbrt (/ 1 (pow x 5))) (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))))) (+ (* 2/3 (cbrt (/ 1 (* (pow x 11) (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (* 2 (* (cbrt (/ 1 (pow x 2))) (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))))))))))))))
(.f64 (.f64 x x) (+.f64 (.f64 #s(literal -2/9 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 20 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) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 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 -1/27 binary64) (+.f64 (cbrt.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 17 binary64))) (+.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 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 23 binary64))) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 5 binary64)))))) (+.f64 (+.f64 (.f64 #s(literal 2/3 binary64) (cbrt.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 11 binary64))) (+.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 #s(literal 2 binary64) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x 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))))) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (.f64 #s(literal 1/3 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 #s(literal 10/81 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 29 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 1/9 binary64) (cbrt.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 14 binary64))) (+.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 5/81 binary64) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 11 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)))))))))
(* 2 (* (cbrt (pow x 4)) (* (cbrt -1) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (cbrt -1))))))
(.f64 (.f64 #s(literal 2 binary64) (.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (cbrt.f64 #s(literal -1 binary64)))) (.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)))))
(* (pow x 2) (+ (* -1 (/ (+ (* 1/3 (* (cbrt (pow x 4)) (/ (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (cbrt -1))) (pow (cbrt -1) 2)))) (* 2/3 (* (cbrt (/ 1 (* (pow x 2) (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2)))) (cbrt -1)))) (pow x 3))) (* 2 (* (cbrt (/ 1 (pow x 2))) (* (cbrt -1) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (cbrt -1))))))))
(.f64 (.f64 x x) (-.f64 (.f64 (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 #s(literal 2 binary64) (cbrt.f64 #s(literal -1 binary64)))) (.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 (.f64 (.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (.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))))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (.f64 (cbrt.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.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 2/3 binary64) (cbrt.f64 #s(literal -1 binary64))))) (.f64 x (*.f64 x x)))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -2/9 (* (cbrt (/ 1 (* (pow x 2) (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5)))) (pow (cbrt -1) 2))) (+ (* -1/9 (* (cbrt (pow x 10)) (/ (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (cbrt -1))) (pow (cbrt -1) 5)))) (* 1/9 (* (cbrt (/ (pow x 4) (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))) (/ 1 (pow (cbrt -1) 2)))))) (pow x 3))) (+ (* 1/3 (* (cbrt (pow x 4)) (/ (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (cbrt -1))) (pow (cbrt -1) 2)))) (* 2/3 (* (cbrt (/ 1 (* (pow x 2) (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2)))) (cbrt -1))))) (pow x 3))) (* 2 (* (cbrt (/ 1 (pow x 2))) (* (cbrt -1) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (cbrt -1))))))))
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(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/27 (* (cbrt (/ (pow x 4) (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))) (/ 1 (cbrt -1)))) (+ (* -1/27 (* (cbrt (/ (pow x 10) (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))) (/ 1 (pow (cbrt -1) 5)))) (+ (* 5/81 (* (cbrt (pow x 16)) (/ (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (cbrt -1))) (pow (cbrt -1) 8)))) (* 10/81 (* (cbrt (/ 1 (* (pow x 2) (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 8)))) (cbrt -1)))))) (pow x 3))) (+ (* -2/9 (* (cbrt (/ 1 (* (pow x 2) (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5)))) (pow (cbrt -1) 2))) (+ (* -1/9 (* (cbrt (pow x 10)) (/ (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (cbrt -1))) (pow (cbrt -1) 5)))) (* 1/9 (* (cbrt (/ (pow x 4) (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))) (/ 1 (pow (cbrt -1) 2))))))) (pow x 3))) (+ (* 1/3 (* (cbrt (pow x 4)) (/ (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (cbrt -1))) (pow (cbrt -1) 2)))) (* 2/3 (* (cbrt (/ 1 (* (pow x 2) (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2)))) (cbrt -1))))) (pow x 3))) (* 2 (* (cbrt (/ 1 (pow x 2))) (* (cbrt -1) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (cbrt -1))))))))
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(+ 1 (+ (cbrt x) (* 1/3 x)))
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(+ 1 (+ (cbrt x) (* x (+ 1/3 (* -1/9 x)))))
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(* 2 (cbrt x))
(*.f64 #s(literal 2 binary64) (cbrt.f64 x))
(* x (+ (* 1/3 (cbrt (/ 1 (pow x 5)))) (* 2 (cbrt (/ 1 (pow x 2))))))
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(* x (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 1/3 (cbrt (/ 1 (pow x 5)))) (* 2 (cbrt (/ 1 (pow x 2)))))))
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(* 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))))))))
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(* -2 (* (cbrt x) (cbrt -1)))
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(* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* 2 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))))
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(* -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))))))
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1
#s(literal 1 binary64)
(+ 1 (* 1/3 x))
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(+.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)))))
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(cbrt x)
(cbrt.f64 x)
(* x (+ (cbrt (/ 1 (pow x 2))) (* 1/3 (cbrt (/ 1 (pow x 5))))))
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(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))))
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1
#s(literal 1 binary64)
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(* 4/3 (cbrt x))
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(/.f64 (+.f64 (.f64 #s(literal 4/3 binary64) (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))) (*.f64 #s(literal 2 binary64) (cbrt.f64 x))) x)
(/ (+ (* 1/3 (* (cbrt (/ 1 (pow x 5))) (- 1 (* 16/3 (pow x 2))))) (+ (* 4/3 (cbrt (/ 1 (pow x 2)))) (+ (* 4/3 (cbrt (pow x 4))) (* 2 (cbrt x))))) x)
(/.f64 (+.f64 (+.f64 (.f64 #s(literal 4/3 binary64) (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))) (.f64 #s(literal 2 binary64) (cbrt.f64 x))) (.f64 (.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -16/3 binary64))))) x)
(* 4/3 (cbrt x))
(*.f64 (cbrt.f64 x) #s(literal 4/3 binary64))
(* -1 (/ (+ (* -2 (cbrt x)) (* -4/3 (cbrt (pow x 4)))) x))
(/.f64 (+.f64 (.f64 (cbrt.f64 x) #s(literal -2 binary64)) (.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal -4/3 binary64))) (neg.f64 x))
(* -1 (/ (+ (* -4/3 (cbrt (pow x 4))) (* -1 (/ (+ (* 4/3 (cbrt x)) (* 2 (cbrt (pow x 4)))) x))) x))
(/.f64 (-.f64 (.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal -4/3 binary64)) (/.f64 (+.f64 (.f64 (cbrt.f64 x) #s(literal 4/3 binary64)) (*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))) x)) (neg.f64 x))
(* -1 (/ (+ (* -4/3 (cbrt (pow x 4))) (* -1 (/ (+ (* -1 (/ (+ (* -4/3 (cbrt (pow x 4))) (* -1/3 (* (cbrt x) (- 1 (* 16/3 (pow x 2)))))) x)) (* 2 (cbrt (pow x 4)))) x))) x))
(/.f64 (-.f64 (.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal -4/3 binary64)) (/.f64 (-.f64 (.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (/.f64 (+.f64 (.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal -4/3 binary64)) (.f64 #s(literal -1/3 binary64) (.f64 (cbrt.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -16/3 binary64)))))) x)) x)) (neg.f64 x))
1
#s(literal 1 binary64)
(+ 1 (* 4/3 x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 4/3 binary64)))
(+ 1 (* x (+ 4/3 (* 2/9 x))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 4/3 binary64) (.f64 x #s(literal 2/9 binary64)))))
(+ 1 (* x (+ 4/3 (* x (+ 2/9 (* -4/81 x))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 4/3 binary64) (.f64 x (+.f64 #s(literal 2/9 binary64) (*.f64 x #s(literal -4/81 binary64)))))))
(cbrt (pow x 4))
(cbrt.f64 (pow.f64 x #s(literal 4 binary64)))
(* (pow x 2) (+ (cbrt (/ 1 (pow x 2))) (* 4/3 (cbrt (/ 1 (pow x 5))))))
(.f64 (.f64 x x) (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 4/3 binary64))))
(* (pow x 2) (+ (cbrt (/ 1 (pow x 2))) (+ (* 4/3 (cbrt (/ 1 (pow x 5)))) (* 2 (cbrt (/ 1 (pow x 8)))))))
(.f64 (.f64 x x) (+.f64 (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 4/3 binary64))) (*.f64 #s(literal 2 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64)))))))
(* (pow x 2) (+ (cbrt (/ 1 (pow x 2))) (+ (* 4/3 (cbrt (/ 1 (pow x 5)))) (+ (* 4/3 (cbrt (/ 1 (pow x 11)))) (* 2 (cbrt (/ 1 (pow x 8))))))))
(.f64 (.f64 x x) (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) (+.f64 (.f64 #s(literal 4/3 binary64) (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 11 binary64)))))) (*.f64 #s(literal 2 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64))))))))
(cbrt (pow x 4))
(cbrt.f64 (pow.f64 x #s(literal 4 binary64)))
(* (pow x 2) (+ (cbrt (/ 1 (pow x 2))) (* 4/3 (cbrt (/ 1 (pow x 5))))))
(.f64 (.f64 x x) (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 4/3 binary64))))
(* (pow x 2) (+ (cbrt (/ 1 (pow x 2))) (* -1 (/ (+ (* -2 (cbrt x)) (* -4/3 (cbrt (pow x 4)))) (pow x 3)))))
(.f64 (.f64 x x) (-.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 (+.f64 (.f64 (cbrt.f64 x) #s(literal -2 binary64)) (.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal -4/3 binary64))) (.f64 x (*.f64 x x)))))
(* (pow x 2) (+ (cbrt (/ 1 (pow x 2))) (* -1 (/ (+ (* -4/3 (cbrt (pow x 4))) (* -1 (/ (+ (* 4/3 (cbrt x)) (* 2 (cbrt (pow x 4)))) x))) (pow x 3)))))
(.f64 (.f64 x x) (-.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 (-.f64 (.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal -4/3 binary64)) (/.f64 (+.f64 (.f64 (cbrt.f64 x) #s(literal 4/3 binary64)) (.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))) x)) (.f64 x (.f64 x x)))))
(cbrt (pow x 4))
(cbrt.f64 (pow.f64 x #s(literal 4 binary64)))
(cbrt (pow x 4))
(cbrt.f64 (pow.f64 x #s(literal 4 binary64)))
(cbrt (pow x 4))
(cbrt.f64 (pow.f64 x #s(literal 4 binary64)))
(cbrt (pow x 4))
(cbrt.f64 (pow.f64 x #s(literal 4 binary64)))
(cbrt (pow x 4))
(cbrt.f64 (pow.f64 x #s(literal 4 binary64)))
(cbrt (pow x 4))
(cbrt.f64 (pow.f64 x #s(literal 4 binary64)))
(cbrt (pow x 4))
(cbrt.f64 (pow.f64 x #s(literal 4 binary64)))
(cbrt (pow x 4))
(cbrt.f64 (pow.f64 x #s(literal 4 binary64)))
(cbrt (pow x 4))
(cbrt.f64 (pow.f64 x #s(literal 4 binary64)))
(cbrt (pow x 4))
(cbrt.f64 (pow.f64 x #s(literal 4 binary64)))
(cbrt (pow x 4))
(cbrt.f64 (pow.f64 x #s(literal 4 binary64)))
(cbrt (pow x 4))
(cbrt.f64 (pow.f64 x #s(literal 4 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* 2/3 x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2/3 binary64)))
(+ 1 (* x (+ 2/3 (* -1/9 x))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/9 binary64)) #s(literal 2/3 binary64))))
(+ 1 (* x (+ 2/3 (* x (- (* 4/81 x) 1/9)))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 x (+.f64 (*.f64 x #s(literal 4/81 binary64)) #s(literal -1/9 binary64))))))
(* x (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))))
(.f64 x (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x 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)))))))
(.f64 x (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (.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)))))))))
(* 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))))))))
(.f64 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))))))) (+.f64 (.f64 (/.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal 6 binary64))) (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))))) (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x 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)))))))))
(.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))))))) (+.f64 (.f64 (/.f64 #s(literal 5/81 binary64) (pow.f64 x #s(literal 9 binary64))) (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 (/.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal 6 binary64))) (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)))))))))
(* -1 (* (* x (cbrt -1)) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))))
(.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (.f64 #s(literal -1 binary64) (.f64 x (cbrt.f64 #s(literal -1 binary64)))))
(* -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)))))))))
(-.f64 #s(literal 0 binary64) (.f64 x (+.f64 (.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))))) (.f64 (/.f64 #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))))))))))
(* -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)))))))))
(-.f64 #s(literal 0 binary64) (.f64 x (-.f64 (.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))))) (/.f64 (+.f64 (.f64 (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 (cbrt.f64 #s(literal -1 binary64)) (.f64 x (.f64 x x))) #s(literal 1/9 binary64))) (.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))))))
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt -1) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (* -5/81 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 8)))))) (pow x 3))) (* 1/3 (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (pow x 3))) (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))))))
(.f64 (-.f64 (.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))))) (/.f64 (-.f64 (.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))))))) (/.f64 (+.f64 (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 5 binary64)))) (.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal -1/9 binary64))) (.f64 (/.f64 #s(literal -5/81 binary64) (.f64 x (.f64 x x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 8 binary64)))))) (.f64 x (.f64 x x)))) (.f64 x (.f64 x x)))) (neg.f64 x))

eval313.0ms (2.8%)

Compiler: Compiled 64075 to 4507 computations (93% saved)

prune239.0ms (2.1%)

Pruning

39 alts after pruning (37 fresh and 2 done)

	Pruned	Kept	Total
New	1969	27	1996
Fresh	11	10	21
Picked	4	1	5
Done	0	1	1
Total	1984	39	2023

Accuracy

99.4%

Counts

2023 → 39

Alt Table

Click to see full alt table

Status	Accuracy	Program
	4.8%	(fma.f64 (pow.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/3 binary64)) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -1/3 binary64)) (-.f64 #s(literal 0 binary64) (cbrt.f64 x)))
	6.8%	(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 2/3 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x)))))
	6.8%	(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) (pow.f64 x #s(literal 1/3 binary64))))
	4.7%	(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)) (neg.f64 (cbrt.f64 x)))
	6.5%	(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 4/3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) (cbrt.f64 (.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) x))) (+.f64 x (cbrt.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) x)))))) (neg.f64 (/.f64 (pow.f64 x #s(literal 4/3 binary64)) (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) (cbrt.f64 (.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) x))) (+.f64 x (cbrt.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) x))))))))
	8.0%	(fma.f64 (pow.f64 x #s(literal 1/6 binary64)) (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) (cbrt.f64 (+.f64 #s(literal 1 binary64) x)))
	7.6%	(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)))))))))
▶	97.7%	(/.f64 (/.f64 #s(literal 2/3 binary64) 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))))
	6.2%	(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 4/3 binary64)) (pow.f64 x #s(literal 4/3 binary64))) (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) (cbrt.f64 (.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) x))) (+.f64 x (cbrt.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) x))))))
	5.0%	(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 4/3 binary64)) (pow.f64 x #s(literal 4/3 binary64))) (.f64 (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (cbrt.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)))))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2/3 binary64)))))
	6.2%	(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 4/3 binary64)) (pow.f64 x #s(literal 4/3 binary64))) (*.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x)) (+.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/12 binary64)) #s(literal 8 binary64)) (pow.f64 x #s(literal 2/3 binary64)))))
	6.2%	(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 4/3 binary64)) (pow.f64 x #s(literal 4/3 binary64))) (*.f64 (+.f64 (pow.f64 (+.f64 #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)))))
	7.4%	(/.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)))
	31.6%	(/.f64 (+.f64 (/.f64 (.f64 #s(literal 2/3 binary64) (.f64 x 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)))) (/.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))))) (.f64 x (.f64 x x)))
	22.5%	(/.f64 (+.f64 (+.f64 (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 5/81 binary64))) (*.f64 x x))
	22.8%	(/.f64 (+.f64 (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (+.f64 (+.f64 (.f64 #s(literal -10/243 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 5/81 binary64))) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))))) (.f64 x x))
	21.9%	(/.f64 (+.f64 (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))) (*.f64 x x))
	6.2%	(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 4/3 binary64)) (pow.f64 x #s(literal 4/3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x)))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2/3 binary64))))
	88.5%	(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))
	4.7%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))
▶	7.4%	(-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 #s(literal 1 binary64) x)))) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 #s(literal 1 binary64) x)))))
	8.0%	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64)))
	8.1%	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/3 binary64))))
✓	7.2%	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
▶	5.2%	(+.f64 (cbrt.f64 x) #s(literal 1 binary64))
	88.5%	(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))
	7.1%	(*.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))))
	96.3%	(*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))
	88.5%	(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))))
▶	88.9%	(.f64 #s(literal 1/3 binary64) (exp.f64 (neg.f64 (.f64 #s(literal 2/3 binary64) (log.f64 x)))))
	48.6%	(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (sqrt.f64 x) #s(literal -4 binary64))))
	48.3%	(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -6 binary64))))
	48.6%	(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal -2 binary64))))
	48.6%	(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
	47.8%	(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64)))))
	47.8%	(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x)))))
✓	47.8%	(.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))
	48.6%	(.f64 #s(literal 1/3 binary64) (cbrt.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))))
▶	2.9%	(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 1463 to 851 computations (41.8% saved)

simplify137.0ms (1.2%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64))
✓	cost-diff	0	(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 #s(literal 1 binary64) x))))
✓	cost-diff	13184	(-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 #s(literal 1 binary64) x)))) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 #s(literal 1 binary64) x)))))
✓	cost-diff	64	(/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x)))
✓	cost-diff	64	(log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))))
✓	cost-diff	320	(*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x)))) #s(literal -1 binary64))
✓	cost-diff	13120	(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x)))) #s(literal -1 binary64)))
✓	cost-diff	0	(*.f64 #s(literal 2/3 binary64) (log.f64 x))
✓	cost-diff	64	(neg.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 x)))
✓	cost-diff	6528	(exp.f64 (neg.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 x))))
✓	cost-diff	6528	(.f64 #s(literal 1/3 binary64) (exp.f64 (neg.f64 (.f64 #s(literal 2/3 binary64) (log.f64 x)))))
✓	cost-diff	0	(cbrt.f64 x)
✓	cost-diff	0	(+.f64 (cbrt.f64 x) #s(literal 1 binary64))
✓	cost-diff	128	(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
✓	cost-diff	128	(cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
✓	cost-diff	128	(+.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)))
✓	cost-diff	128	(/.f64 (/.f64 #s(literal 2/3 binary64) 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))))

Rules

1172×	`fnmadd-define`
976×	`fmsub-define`
952×	`fnmsub-define`
884×	`fma-lowering-fma.f32`
884×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	21474836655
1	74	12884902082
2	120	12884902074
3	178	12884902074
4	277	12884902074
5	444	12884902074
6	757	12884902074
7	1193	12884902074
8	1640	12884902074
9	2244	12884902074
10	3054	12884902070
11	3454	12884902070
12	3954	12884902070
13	4039	12884902070
14	4195	12884902070
15	5021	12884902070
16	5341	12884902070
0	5341	212

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize468.0ms (4.2%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.1%	(cbrt.f64 x)
✓	accuracy	90.5%	(pow.f64 x #s(literal 2/3 binary64))
✓	accuracy	90.5%	(pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64))
✓	accuracy	7.5%	(-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 #s(literal 1 binary64) x)))) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 #s(literal 1 binary64) x)))))
✓	accuracy	99.1%	(cbrt.f64 x)
✓	accuracy	92.0%	(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x)))) #s(literal -1 binary64)))
✓	accuracy	92.0%	(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64))
✓	accuracy	7.3%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))
✓	accuracy	100.0%	(log.f64 x)
✓	accuracy	99.4%	(*.f64 #s(literal 2/3 binary64) (log.f64 x))
✓	accuracy	99.4%	(.f64 #s(literal 1/3 binary64) (exp.f64 (neg.f64 (.f64 #s(literal 2/3 binary64) (log.f64 x)))))
✓	accuracy	92.0%	(exp.f64 (neg.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 x))))
✓	accuracy	100.0%	(+.f64 (cbrt.f64 x) #s(literal 1 binary64))
✓	accuracy	99.1%	(cbrt.f64 x)
✓	accuracy	99.4%	(/.f64 (/.f64 #s(literal 2/3 binary64) 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))))
✓	accuracy	99.2%	(/.f64 #s(literal 2 binary64) (*.f64 x x))
✓	accuracy	99.0%	(cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
✓	accuracy	99.0%	(cbrt.f64 (/.f64 #s(literal 1 binary64) x))

Results

240.0ms	113×	2	valid
158.0ms	135×	1	valid
4.0ms	8×	0	valid

Compiler

Compiled 259 to 38 computations (85.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 302.0ms

ival-pow: 94.0ms (31.1% of total)

ival-add: 42.0ms (13.9% of total)

ival-div: 29.0ms (9.6% of total)

backward-pass: 27.0ms (8.9% of total)

...c/correct-round.rkt:119:19: 25.0ms (8.3% of total)

ival-cbrt: 23.0ms (7.6% of total)

ival-mult: 19.0ms (6.3% of total)

ival-log: 16.0ms (5.3% of total)

ival-exp: 12.0ms (4% of total)

ival-sub: 11.0ms (3.6% of total)

ival-neg: 3.0ms (1% of total)

const: 1.0ms (0.3% of total)

series125.0ms (1.1%)

Counts

24 → 288

Calls

Call 1

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

Outputs
#<alt (/ 2/3 (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))))>
#<alt (/ 2/3 (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))))>
#<alt (/ 2/3 (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))))>
#<alt (/ 2/3 (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))))>
#<alt (/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))))>
#<alt (/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))))>
#<alt (/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))))>
#<alt (/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))))>
#<alt (/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2)))))>
#<alt (/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2)))))>
#<alt (/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2)))))>
#<alt (/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2)))))>
#<alt (/ (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))) x)>
#<alt (/ (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))) x)>
#<alt (/ (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))) x)>
#<alt (/ (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))) x)>
#<alt (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))>
#<alt (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))>
#<alt (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))>
#<alt (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))>
#<alt (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2)))>
#<alt (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2)))>
#<alt (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2)))>
#<alt (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2)))>
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#<alt (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (* (* (cbrt -1) (+ (* -1/36 (* (cbrt (pow x 14)) (/ 1 (pow (cbrt -1) 7)))) (* -1/72 (* (cbrt (pow x 14)) (/ 1 (pow (cbrt -1) 7)))))) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))))) (+ (* -1 (/ (- (+ (* -1 (* (* (cbrt -1) (+ (* -1/6 (/ (* (pow x 2) (+ (* -1/36 (* (cbrt (pow x 14)) (/ 1 (pow (cbrt -1) 7)))) (* -1/72 (* (cbrt (pow x 14)) (/ 1 (pow (cbrt -1) 7)))))) (pow (cbrt -1) 3))) (+ (* 1/216 (* (cbrt (pow x 20)) (/ 1 (pow (cbrt -1) 10)))) (* 5/324 (* (cbrt (pow x 20)) (/ 1 (pow (cbrt -1) 10))))))) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))))) (+ (* -1/3 (* (+ (* -1/36 (* (cbrt (pow x 14)) (/ 1 (pow (cbrt -1) 7)))) (* -1/72 (* (cbrt (pow x 14)) (/ 1 (pow (cbrt -1) 7))))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (+ (* 1/108 (* (cbrt (/ (pow x 8) (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))) (/ 1 (pow (cbrt -1) 3)))) (* 5/162 (* (cbrt (/ (pow x 2) (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 8))) (/ 1 (cbrt -1))))))) (* -1 (* (cbrt (/ 1 x)) (* (cbrt -1) (+ (* -1/6 (/ (* (pow x 2) (+ (* -1/36 (* (cbrt (pow x 14)) (/ 1 (pow (cbrt -1) 7)))) (* -1/72 (* (cbrt (pow x 14)) (/ 1 (pow (cbrt -1) 7)))))) (pow (cbrt -1) 3))) (+ (* 1/216 (* (cbrt (pow x 20)) (/ 1 (pow (cbrt -1) 10)))) (* 5/324 (* (cbrt (pow x 20)) (/ 1 (pow (cbrt -1) 10)))))))))) (pow x 3))) (+ (* -1/18 (cbrt (/ (pow x 2) (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5)))) (* -1/36 (* (cbrt (/ (pow x 8) (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))) (/ 1 (pow (cbrt -1) 4))))))) (* -1 (* (cbrt (/ 1 x)) (* (cbrt -1) (+ (* -1/36 (* (cbrt (pow x 14)) (/ 1 (pow (cbrt -1) 7)))) (* -1/72 (* (cbrt (pow x 14)) (/ 1 (pow (cbrt -1) 7))))))))) (pow x 3))) (+ (* -1/12 (* (cbrt (* (pow x 8) (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (/ 1 (pow (cbrt -1) 3)))) (* 1/6 (* (cbrt (/ (pow x 2) (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))) (/ 1 (cbrt -1)))))) (* -1/12 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 3))))) (pow x 3))) (* 1/2 (cbrt (* (pow x 2) (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))))) (* 1/2 (cbrt x)))>
#<alt (/ 1 (+ 1 (cbrt x)))>
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#<alt (+ (* x (- (+ (* 2/3 (/ 1 (+ 1 (cbrt x)))) (* x (- (+ (* 1/9 (/ 1 (pow (+ 1 (cbrt x)) 2))) (+ (* 1/9 (/ 1 (pow (+ 1 (cbrt x)) 3))) (* x (+ (* -1 (+ (* 1/27 (/ 1 (pow (+ 1 (cbrt x)) 3))) (+ (* 1/3 (/ (+ (* 1/9 (/ 1 (pow (+ 1 (cbrt x)) 2))) (* 1/9 (/ 1 (pow (+ 1 (cbrt x)) 3)))) (+ 1 (cbrt x)))) (* 5/81 (/ 1 (pow (+ 1 (cbrt x)) 2)))))) (+ (* 1/27 (/ 1 (pow (+ 1 (cbrt x)) 2))) (+ (* 4/81 (/ 1 (+ 1 (cbrt x)))) (* 2/3 (+ (* 1/9 (/ 1 (pow (+ 1 (cbrt x)) 2))) (* 1/9 (/ 1 (pow (+ 1 (cbrt x)) 3))))))))))) (+ (* 1/9 (/ 1 (+ 1 (cbrt x)))) (* 2/9 (/ 1 (pow (+ 1 (cbrt x)) 2))))))) (* 1/3 (/ 1 (pow (+ 1 (cbrt x)) 2))))) (/ 1 (+ 1 (cbrt x))))>
#<alt (* 1/2 (cbrt (* (pow x 2) (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))))>
#<alt (+ (* -1/12 (cbrt (/ (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) x))) (+ (* 1/6 (cbrt (/ 1 (* (pow x 7) (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (* 1/2 (cbrt (* (pow x 2) (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))))))>
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#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (* (cbrt -1) (+ (* -1/36 (* (cbrt (pow x 14)) (/ 1 (pow (cbrt -1) 7)))) (* -1/72 (* (cbrt (pow x 14)) (/ 1 (pow (cbrt -1) 7)))))) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))))) (+ (* -1 (/ (+ (* -1 (* (* (cbrt -1) (+ (* -1/6 (/ (* (pow x 2) (+ (* -1/36 (* (cbrt (pow x 14)) (/ 1 (pow (cbrt -1) 7)))) (* -1/72 (* (cbrt (pow x 14)) (/ 1 (pow (cbrt -1) 7)))))) (pow (cbrt -1) 3))) (+ (* 1/216 (* (cbrt (pow x 20)) (/ 1 (pow (cbrt -1) 10)))) (* 5/324 (* (cbrt (pow x 20)) (/ 1 (pow (cbrt -1) 10))))))) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))))) (+ (* -1/3 (* (+ (* -1/36 (* (cbrt (pow x 14)) (/ 1 (pow (cbrt -1) 7)))) (* -1/72 (* (cbrt (pow x 14)) (/ 1 (pow (cbrt -1) 7))))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (+ (* 1/108 (* (cbrt (/ (pow x 8) (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))) (/ 1 (pow (cbrt -1) 3)))) (* 5/162 (* (cbrt (/ (pow x 2) (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 8))) (/ 1 (cbrt -1))))))) (pow x 3))) (+ (* -1/18 (cbrt (/ (pow x 2) (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5)))) (* -1/36 (* (cbrt (/ (pow x 8) (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))) (/ 1 (pow (cbrt -1) 4))))))) (pow x 3))) (+ (* -1/12 (* (cbrt (* (pow x 8) (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (/ 1 (pow (cbrt -1) 3)))) (* 1/6 (* (cbrt (/ (pow x 2) (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))) (/ 1 (cbrt -1)))))) (pow x 3))) (* 1/2 (cbrt (* (pow x 2) (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))))))>
#<alt 1>
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#<alt (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (* -1/9 (* (/ 1 (pow x 6)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))))))>
#<alt (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (* -1/9 (* (/ 1 (pow x 6)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (+ (* 5/81 (* (/ 1 (pow x 9)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 8))))) (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2)))))))))>
#<alt (* -1 (* (* x (cbrt -1)) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))))>
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#<alt (* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (/ (cbrt -1) (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (* 1/3 (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (pow x 3))) (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt -1) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (* -5/81 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 8)))))) (pow x 3))) (* 1/3 (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (pow x 3))) (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))))))>
#<alt 1>
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#<alt (+ 1 x)>
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#<alt (log x)>
#<alt (log x)>
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#<alt (* -1 (log (/ 1 x)))>
#<alt (* -1 (log (/ 1 x)))>
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#<alt (- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
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#<alt (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))>
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#<alt (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))>
#<alt 1>
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#<alt (cbrt x)>
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#<alt (* -1 (* (cbrt x) (cbrt -1)))>
#<alt (* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))>
#<alt (cbrt (pow x 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

72 calls:

Time	Variable		Point	Expression
39.0ms	x	@	0	(* 1/3 (exp (neg (* 2/3 (log x)))))
18.0ms	x	@	-inf	(/ (/ 2/3 x) (+ (cbrt (+ (/ 1 x) (/ 2 (* x x)))) (cbrt (/ 1 x))))
12.0ms	x	@	-inf	(* 1/3 (exp (neg (* 2/3 (log x)))))
7.0ms	x	@	-inf	(* (log (/ 1 (- (pow (+ x 1) 1/3) (cbrt x)))) -1)
7.0ms	x	@	inf	(* 1/3 (exp (neg (* 2/3 (log x)))))

rewrite690.0ms (6.1%)

Algorithm

1×	batch-egg-rewrite

Rules

2854×	`/-lowering-/.f32`
2854×	`/-lowering-/.f64`
2320×	`-lowering-.f32`
2320×	`-lowering-.f64`
1934×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	175
1	249	154
2	2223	152
0	8948	149

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 1293

Calls

Call 1

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

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

simplify428.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

4720×	`+-lowering-+.f64`
4720×	`+-lowering-+.f32`
4496×	`-lowering-.f32`
4496×	`-lowering-.f64`
1952×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	845	6655
1	2768	6271
0	8103	6239

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 288

Calls

Call 1

Inputs
(/ 2/3 (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))))
(/ 2/3 (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))))
(/ 2/3 (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))))
(/ 2/3 (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))))
(/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))))
(/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))))
(/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))))
(/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))))
(/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2)))))
(/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2)))))
(/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2)))))
(/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2)))))
(/ (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))) x)
(/ (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))) x)
(/ (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))) x)
(/ (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))) x)
(+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))
(+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))
(+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))
(+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))
(+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2)))
(+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2)))
(+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2)))
(+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2)))
(* (/ 1 x) (cbrt (+ (* 2 x) (pow x 2))))
(* (/ 1 x) (cbrt (+ (* 2 x) (pow x 2))))
(* (/ 1 x) (cbrt (+ (* 2 x) (pow x 2))))
(* (/ 1 x) (cbrt (+ (* 2 x) (pow x 2))))
(cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))
(cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))
(cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))
(cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))
(cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))
(cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))
(cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))
(cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))
(/ 2 (pow x 2))
(/ (+ 2 x) (pow x 2))
(/ (+ 2 x) (pow x 2))
(/ (+ 2 x) (pow x 2))
(/ 1 x)
(/ (+ 1 (* 2 (/ 1 x))) x)
(/ (+ 1 (* 2 (/ 1 x))) x)
(/ (+ 1 (* 2 (/ 1 x))) x)
(/ 1 x)
(/ (+ 1 (* 2 (/ 1 x))) x)
(/ (+ 1 (* 2 (/ 1 x))) x)
(/ (+ 1 (* 2 (/ 1 x))) x)
(+ 1 (cbrt x))
(+ 1 (cbrt x))
(+ 1 (cbrt x))
(+ 1 (cbrt x))
(cbrt x)
(* x (+ (cbrt (/ 1 (pow x 2))) (/ 1 x)))
(* x (+ (cbrt (/ 1 (pow x 2))) (/ 1 x)))
(* x (+ (cbrt (/ 1 (pow x 2))) (/ 1 x)))
(* -1 (* (cbrt x) (cbrt -1)))
(* -1 (* x (- (* (cbrt (/ 1 (pow x 2))) (cbrt -1)) (/ 1 x))))
(* -1 (* x (- (* (cbrt (/ 1 (pow x 2))) (cbrt -1)) (/ 1 x))))
(* -1 (* 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)))
(* 1/3 (exp (neg (* 2/3 (log x)))))
(* 1/3 (exp (neg (* 2/3 (log x)))))
(* 1/3 (exp (neg (* 2/3 (log x)))))
(* 1/3 (exp (neg (* 2/3 (log x)))))
(* 1/3 (exp (neg (* -2/3 (log (/ 1 x))))))
(* 1/3 (exp (neg (* -2/3 (log (/ 1 x))))))
(* 1/3 (exp (neg (* -2/3 (log (/ 1 x))))))
(* 1/3 (exp (neg (* -2/3 (log (/ 1 x))))))
(* 1/3 (exp (neg (* 2/3 (+ (log -1) (* -1 (log (/ -1 x))))))))
(* 1/3 (exp (neg (* 2/3 (+ (log -1) (* -1 (log (/ -1 x))))))))
(* 1/3 (exp (neg (* 2/3 (+ (log -1) (* -1 (log (/ -1 x))))))))
(* 1/3 (exp (neg (* 2/3 (+ (log -1) (* -1 (log (/ -1 x))))))))
(exp (neg (* 2/3 (log x))))
(exp (neg (* 2/3 (log x))))
(exp (neg (* 2/3 (log x))))
(exp (neg (* 2/3 (log x))))
(exp (neg (* -2/3 (log (/ 1 x)))))
(exp (neg (* -2/3 (log (/ 1 x)))))
(exp (neg (* -2/3 (log (/ 1 x)))))
(exp (neg (* -2/3 (log (/ 1 x)))))
(exp (neg (* 2/3 (+ (log -1) (* -1 (log (/ -1 x)))))))
(exp (neg (* 2/3 (+ (log -1) (* -1 (log (/ -1 x)))))))
(exp (neg (* 2/3 (+ (log -1) (* -1 (log (/ -1 x)))))))
(exp (neg (* 2/3 (+ (log -1) (* -1 (log (/ -1 x)))))))
(* -2/3 (log x))
(* -2/3 (log x))
(* -2/3 (log x))
(* -2/3 (log x))
(* 2/3 (log (/ 1 x)))
(* 2/3 (log (/ 1 x)))
(* 2/3 (log (/ 1 x)))
(* 2/3 (log (/ 1 x)))
(* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))
(* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))
(* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))
(* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))
(* 2/3 (log x))
(* 2/3 (log x))
(* 2/3 (log x))
(* 2/3 (log x))
(* -2/3 (log (/ 1 x)))
(* -2/3 (log (/ 1 x)))
(* -2/3 (log (/ 1 x)))
(* -2/3 (log (/ 1 x)))
(* 2/3 (+ (log -1) (* -1 (log (/ -1 x)))))
(* 2/3 (+ (log -1) (* -1 (log (/ -1 x)))))
(* 2/3 (+ (log -1) (* -1 (log (/ -1 x)))))
(* 2/3 (+ (log -1) (* -1 (log (/ -1 x)))))
(- 1 (cbrt x))
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(- (+ (* -1 (/ (- (+ (* -1/12 (* (cbrt (* (pow x 8) (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (/ 1 (pow (cbrt -1) 3)))) (* 1/6 (* (cbrt (/ (pow x 2) (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))) (/ 1 (cbrt -1))))) (* -1/12 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 3))))) (pow x 3))) (* 1/2 (cbrt (* (pow x 2) (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))))) (* 1/2 (cbrt x)))
(- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (* (* (cbrt -1) (+ (* -1/36 (* (cbrt (pow x 14)) (/ 1 (pow (cbrt -1) 7)))) (* -1/72 (* (cbrt (pow x 14)) (/ 1 (pow (cbrt -1) 7)))))) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))))) (+ (* -1/18 (cbrt (/ (pow x 2) (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5)))) (* -1/36 (* (cbrt (/ (pow x 8) (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))) (/ 1 (pow (cbrt -1) 4)))))) (* -1 (* (cbrt (/ 1 x)) (* (cbrt -1) (+ (* -1/36 (* (cbrt (pow x 14)) (/ 1 (pow (cbrt -1) 7)))) (* -1/72 (* (cbrt (pow x 14)) (/ 1 (pow (cbrt -1) 7))))))))) (pow x 3))) (+ (* -1/12 (* (cbrt (* (pow x 8) (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (/ 1 (pow (cbrt -1) 3)))) (* 1/6 (* (cbrt (/ (pow x 2) (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))) (/ 1 (cbrt -1)))))) (* -1/12 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 3))))) (pow x 3))) (* 1/2 (cbrt (* (pow x 2) (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))))) (* 1/2 (cbrt x)))
(- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (* (* (cbrt -1) (+ (* -1/36 (* (cbrt (pow x 14)) (/ 1 (pow (cbrt -1) 7)))) (* -1/72 (* (cbrt (pow x 14)) (/ 1 (pow (cbrt -1) 7)))))) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))))) (+ (* -1 (/ (- (+ (* -1 (* (* (cbrt -1) (+ (* -1/6 (/ (* (pow x 2) (+ (* -1/36 (* (cbrt (pow x 14)) (/ 1 (pow (cbrt -1) 7)))) (* -1/72 (* (cbrt (pow x 14)) (/ 1 (pow (cbrt -1) 7)))))) (pow (cbrt -1) 3))) (+ (* 1/216 (* (cbrt (pow x 20)) (/ 1 (pow (cbrt -1) 10)))) (* 5/324 (* (cbrt (pow x 20)) (/ 1 (pow (cbrt -1) 10))))))) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))))) (+ (* -1/3 (* (+ (* -1/36 (* (cbrt (pow x 14)) (/ 1 (pow (cbrt -1) 7)))) (* -1/72 (* (cbrt (pow x 14)) (/ 1 (pow (cbrt -1) 7))))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (+ (* 1/108 (* (cbrt (/ (pow x 8) (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))) (/ 1 (pow (cbrt -1) 3)))) (* 5/162 (* (cbrt (/ (pow x 2) (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 8))) (/ 1 (cbrt -1))))))) (* -1 (* (cbrt (/ 1 x)) (* (cbrt -1) (+ (* -1/6 (/ (* (pow x 2) (+ (* -1/36 (* (cbrt (pow x 14)) (/ 1 (pow (cbrt -1) 7)))) (* -1/72 (* (cbrt (pow x 14)) (/ 1 (pow (cbrt -1) 7)))))) (pow (cbrt -1) 3))) (+ (* 1/216 (* (cbrt (pow x 20)) (/ 1 (pow (cbrt -1) 10)))) (* 5/324 (* (cbrt (pow x 20)) (/ 1 (pow (cbrt -1) 10)))))))))) (pow x 3))) (+ (* -1/18 (cbrt (/ (pow x 2) (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5)))) (* -1/36 (* (cbrt (/ (pow x 8) (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))) (/ 1 (pow (cbrt -1) 4))))))) (* -1 (* (cbrt (/ 1 x)) (* (cbrt -1) (+ (* -1/36 (* (cbrt (pow x 14)) (/ 1 (pow (cbrt -1) 7)))) (* -1/72 (* (cbrt (pow x 14)) (/ 1 (pow (cbrt -1) 7))))))))) (pow x 3))) (+ (* -1/12 (* (cbrt (* (pow x 8) (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (/ 1 (pow (cbrt -1) 3)))) (* 1/6 (* (cbrt (/ (pow x 2) (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))) (/ 1 (cbrt -1)))))) (* -1/12 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 3))))) (pow x 3))) (* 1/2 (cbrt (* (pow x 2) (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))))) (* 1/2 (cbrt x)))
(/ 1 (+ 1 (cbrt x)))
(+ (* x (- (* 2/3 (/ 1 (+ 1 (cbrt x)))) (* 1/3 (/ 1 (pow (+ 1 (cbrt x)) 2))))) (/ 1 (+ 1 (cbrt x))))
(+ (* x (- (+ (* 2/3 (/ 1 (+ 1 (cbrt x)))) (* x (- (+ (* 1/9 (/ 1 (pow (+ 1 (cbrt x)) 2))) (* 1/9 (/ 1 (pow (+ 1 (cbrt x)) 3)))) (+ (* 1/9 (/ 1 (+ 1 (cbrt x)))) (* 2/9 (/ 1 (pow (+ 1 (cbrt x)) 2))))))) (* 1/3 (/ 1 (pow (+ 1 (cbrt x)) 2))))) (/ 1 (+ 1 (cbrt x))))
(+ (* x (- (+ (* 2/3 (/ 1 (+ 1 (cbrt x)))) (* x (- (+ (* 1/9 (/ 1 (pow (+ 1 (cbrt x)) 2))) (+ (* 1/9 (/ 1 (pow (+ 1 (cbrt x)) 3))) (* x (+ (* -1 (+ (* 1/27 (/ 1 (pow (+ 1 (cbrt x)) 3))) (+ (* 1/3 (/ (+ (* 1/9 (/ 1 (pow (+ 1 (cbrt x)) 2))) (* 1/9 (/ 1 (pow (+ 1 (cbrt x)) 3)))) (+ 1 (cbrt x)))) (* 5/81 (/ 1 (pow (+ 1 (cbrt x)) 2)))))) (+ (* 1/27 (/ 1 (pow (+ 1 (cbrt x)) 2))) (+ (* 4/81 (/ 1 (+ 1 (cbrt x)))) (* 2/3 (+ (* 1/9 (/ 1 (pow (+ 1 (cbrt x)) 2))) (* 1/9 (/ 1 (pow (+ 1 (cbrt x)) 3))))))))))) (+ (* 1/9 (/ 1 (+ 1 (cbrt x)))) (* 2/9 (/ 1 (pow (+ 1 (cbrt x)) 2))))))) (* 1/3 (/ 1 (pow (+ 1 (cbrt x)) 2))))) (/ 1 (+ 1 (cbrt x))))
(* 1/2 (cbrt (* (pow x 2) (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))))
(+ (* -1/12 (cbrt (/ (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) x))) (+ (* 1/6 (cbrt (/ 1 (* (pow x 7) (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (* 1/2 (cbrt (* (pow x 2) (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))))))
(+ (* -1 (* (/ (+ (* -1/36 (cbrt (pow x 14))) (* -1/72 (cbrt (pow x 14)))) (pow x 6)) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))))) (+ (* -1/12 (cbrt (/ (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) x))) (+ (* -1/18 (cbrt (/ 1 (* (pow x 16) (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (+ (* -1/36 (cbrt (/ 1 (* (pow x 10) (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (+ (* 1/6 (cbrt (/ 1 (* (pow x 7) (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (* 1/2 (cbrt (* (pow x 2) (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))))))))))
(+ (* -1 (* (/ (+ (* -1/6 (* (pow x 2) (+ (* -1/36 (cbrt (pow x 14))) (* -1/72 (cbrt (pow x 14)))))) (+ (* 1/216 (cbrt (pow x 20))) (* 5/324 (cbrt (pow x 20))))) (pow x 9)) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))))) (+ (* -1 (* (/ (+ (* -1/36 (cbrt (pow x 14))) (* -1/72 (cbrt (pow x 14)))) (pow x 6)) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))))) (+ (* -1/3 (* (/ (+ (* -1/36 (cbrt (pow x 14))) (* -1/72 (cbrt (pow x 14)))) (pow x 9)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (+ (* -1/12 (cbrt (/ (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) x))) (+ (* -1/18 (cbrt (/ 1 (* (pow x 16) (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (+ (* -1/36 (cbrt (/ 1 (* (pow x 10) (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (+ (* 1/108 (cbrt (/ 1 (* (pow x 19) (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) (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))))))))))))))
(* 1/2 (cbrt (* (pow x 2) (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))))
(+ (* -1 (/ (+ (* -1/12 (* (cbrt (* (pow x 8) (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (/ 1 (pow (cbrt -1) 3)))) (* 1/6 (* (cbrt (/ (pow x 2) (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))) (/ 1 (cbrt -1))))) (pow x 3))) (* 1/2 (cbrt (* (pow x 2) (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (* (cbrt -1) (+ (* -1/36 (* (cbrt (pow x 14)) (/ 1 (pow (cbrt -1) 7)))) (* -1/72 (* (cbrt (pow x 14)) (/ 1 (pow (cbrt -1) 7)))))) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))))) (+ (* -1/18 (cbrt (/ (pow x 2) (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5)))) (* -1/36 (* (cbrt (/ (pow x 8) (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))) (/ 1 (pow (cbrt -1) 4)))))) (pow x 3))) (+ (* -1/12 (* (cbrt (* (pow x 8) (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (/ 1 (pow (cbrt -1) 3)))) (* 1/6 (* (cbrt (/ (pow x 2) (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))) (/ 1 (cbrt -1)))))) (pow x 3))) (* 1/2 (cbrt (* (pow x 2) (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (* (cbrt -1) (+ (* -1/36 (* (cbrt (pow x 14)) (/ 1 (pow (cbrt -1) 7)))) (* -1/72 (* (cbrt (pow x 14)) (/ 1 (pow (cbrt -1) 7)))))) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))))) (+ (* -1 (/ (+ (* -1 (* (* (cbrt -1) (+ (* -1/6 (/ (* (pow x 2) (+ (* -1/36 (* (cbrt (pow x 14)) (/ 1 (pow (cbrt -1) 7)))) (* -1/72 (* (cbrt (pow x 14)) (/ 1 (pow (cbrt -1) 7)))))) (pow (cbrt -1) 3))) (+ (* 1/216 (* (cbrt (pow x 20)) (/ 1 (pow (cbrt -1) 10)))) (* 5/324 (* (cbrt (pow x 20)) (/ 1 (pow (cbrt -1) 10))))))) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))))) (+ (* -1/3 (* (+ (* -1/36 (* (cbrt (pow x 14)) (/ 1 (pow (cbrt -1) 7)))) (* -1/72 (* (cbrt (pow x 14)) (/ 1 (pow (cbrt -1) 7))))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (+ (* 1/108 (* (cbrt (/ (pow x 8) (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))) (/ 1 (pow (cbrt -1) 3)))) (* 5/162 (* (cbrt (/ (pow x 2) (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 8))) (/ 1 (cbrt -1))))))) (pow x 3))) (+ (* -1/18 (cbrt (/ (pow x 2) (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5)))) (* -1/36 (* (cbrt (/ (pow x 8) (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))) (/ 1 (pow (cbrt -1) 4))))))) (pow x 3))) (+ (* -1/12 (* (cbrt (* (pow x 8) (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (/ 1 (pow (cbrt -1) 3)))) (* 1/6 (* (cbrt (/ (pow x 2) (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))) (/ 1 (cbrt -1)))))) (pow x 3))) (* 1/2 (cbrt (* (pow x 2) (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))))))
1
(+ 1 (* 2/3 x))
(+ 1 (* x (+ 2/3 (* -1/9 x))))
(+ 1 (* x (+ 2/3 (* x (- (* 4/81 x) 1/9)))))
(* x (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))))
(* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2)))))))
(* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (* -1/9 (* (/ 1 (pow x 6)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))))))
(* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (* -1/9 (* (/ 1 (pow x 6)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (+ (* 5/81 (* (/ 1 (pow x 9)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 8))))) (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2)))))))))
(* -1 (* (* x (cbrt -1)) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))))
(* -1 (* x (+ (* -1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))))))
(* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (/ (cbrt -1) (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (* 1/3 (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (pow x 3))) (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))))))
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt -1) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (* -5/81 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 8)))))) (pow x 3))) (* 1/3 (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (pow x 3))) (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))))))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(cbrt (/ 1 x))
(cbrt (/ 1 x))
(cbrt (/ 1 x))
(cbrt (/ 1 x))
(cbrt (/ 1 x))
(cbrt (/ 1 x))
(cbrt (/ 1 x))
(cbrt (/ 1 x))
(* (cbrt (/ 1 x)) (pow (cbrt -1) 2))
(* (cbrt (/ 1 x)) (pow (cbrt -1) 2))
(* (cbrt (/ 1 x)) (pow (cbrt -1) 2))
(* (cbrt (/ 1 x)) (pow (cbrt -1) 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(log x)
(log x)
(log x)
(log x)
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(- 1 (cbrt x))
(- (+ 1 (* 1/3 x)) (cbrt x))
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))
(/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2))
(/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2))
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))
(/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
1
(+ 1 (* 1/3 x))
(+ 1 (* x (+ 1/3 (* -1/9 x))))
(+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9)))))
(cbrt x)
(* x (+ (cbrt (/ 1 (pow x 2))) (* 1/3 (cbrt (/ 1 (pow x 5))))))
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))))
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 5/81 (cbrt (/ 1 (pow x 11)))) (* 1/3 (cbrt (/ 1 (pow x 5))))))))
(* -1 (* (cbrt x) (cbrt -1)))
(* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(cbrt (pow x 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
(/ 2/3 (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))))
(/.f64 #s(literal 2/3 binary64) (+.f64 (cbrt.f64 (.f64 x (+.f64 #s(literal 2 binary64) x))) (cbrt.f64 (.f64 x x))))
(/ 2/3 (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))))
(/.f64 #s(literal 2/3 binary64) (+.f64 (cbrt.f64 (.f64 x (+.f64 #s(literal 2 binary64) x))) (cbrt.f64 (.f64 x x))))
(/ 2/3 (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))))
(/.f64 #s(literal 2/3 binary64) (+.f64 (cbrt.f64 (.f64 x (+.f64 #s(literal 2 binary64) x))) (cbrt.f64 (.f64 x x))))
(/ 2/3 (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))))
(/.f64 #s(literal 2/3 binary64) (+.f64 (cbrt.f64 (.f64 x (+.f64 #s(literal 2 binary64) x))) (cbrt.f64 (.f64 x x))))
(/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))))
(/.f64 (/.f64 #s(literal 2/3 binary64) 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))))
(/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))))
(/.f64 (/.f64 #s(literal 2/3 binary64) 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))))
(/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))))
(/.f64 (/.f64 #s(literal 2/3 binary64) 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))))
(/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))))
(/.f64 (/.f64 #s(literal 2/3 binary64) 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))))
(/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2)))))
(/.f64 (/.f64 #s(literal 2/3 binary64) x) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2)))))
(/.f64 (/.f64 #s(literal 2/3 binary64) x) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2)))))
(/.f64 (/.f64 #s(literal 2/3 binary64) x) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2)))))
(/.f64 (/.f64 #s(literal 2/3 binary64) x) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
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(.f64 (-.f64 (.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (cbrt.f64 #s(literal -1 binary64))) (/.f64 (+.f64 (.f64 (.f64 #s(literal 1/9 binary64) (/.f64 (cbrt.f64 #s(literal -1 binary64)) (.f64 x (.f64 x x)))) (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 1/3 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)))))))))
(-.f64 #s(literal 0 binary64) (.f64 x (-.f64 (.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (cbrt.f64 #s(literal -1 binary64))) (/.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 (.f64 #s(literal -1/9 binary64) (cbrt.f64 #s(literal -1 binary64))) (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 -5/81 binary64) (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 8 binary64)))) (.f64 x (.f64 x x))))) (.f64 x (.f64 x x)))) (.f64 x (.f64 x x))))))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(cbrt (/ 1 x))
(cbrt.f64 (/.f64 #s(literal 1 binary64) x))
(cbrt (/ 1 x))
(cbrt.f64 (/.f64 #s(literal 1 binary64) x))
(cbrt (/ 1 x))
(cbrt.f64 (/.f64 #s(literal 1 binary64) x))
(cbrt (/ 1 x))
(cbrt.f64 (/.f64 #s(literal 1 binary64) x))
(cbrt (/ 1 x))
(cbrt.f64 (/.f64 #s(literal 1 binary64) x))
(cbrt (/ 1 x))
(cbrt.f64 (/.f64 #s(literal 1 binary64) x))
(cbrt (/ 1 x))
(cbrt.f64 (/.f64 #s(literal 1 binary64) x))
(cbrt (/ 1 x))
(cbrt.f64 (/.f64 #s(literal 1 binary64) x))
(* (cbrt (/ 1 x)) (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 (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 (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 (cbrt -1) 2))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(log x)
(log.f64 x)
(log x)
(log.f64 x)
(log x)
(log.f64 x)
(log x)
(log.f64 x)
(* -1 (log (/ 1 x)))
(log.f64 x)
(* -1 (log (/ 1 x)))
(log.f64 x)
(* -1 (log (/ 1 x)))
(log.f64 x)
(* -1 (log (/ 1 x)))
(log.f64 x)
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(- 1 (cbrt x))
(-.f64 #s(literal 1 binary64) (cbrt.f64 x))
(- (+ 1 (* 1/3 x)) (cbrt x))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/3 binary64)) (cbrt.f64 x)))
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))
(+.f64 (.f64 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 (*.f64 x #s(literal 5/81 binary64)) #s(literal -1/9 binary64))))) (-.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/3 binary64))
(/ (+ (* -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 (cbrt.f64 x) #s(literal -1/9 binary64)) (+.f64 (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 5/81 binary64)) (+.f64 (.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 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 #s(literal 1/9 binary64) (/.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 x x))
(/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(/.f64 (-.f64 (.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 (+.f64 (.f64 #s(literal -1/9 binary64) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 10 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (.f64 #s(literal -5/81 binary64) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 7 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64))))) (.f64 x (.f64 x x)))) (.f64 x x))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(/.f64 (-.f64 (.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 (-.f64 (.f64 #s(literal -1/9 binary64) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 10 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (/.f64 (+.f64 (.f64 #s(literal 10/243 binary64) (/.f64 (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 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 (*.f64 x #s(literal 5/81 binary64)) #s(literal -1/9 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 #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))))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))))
(* 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 (.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)))))) (+.f64 (.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64))))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))))
(* -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 (+.f64 (.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)))) (.f64 #s(literal -1/3 binary64) (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (neg.f64 x))
(* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(.f64 (-.f64 (.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)))) (/.f64 (+.f64 (.f64 #s(literal 1/9 binary64) (/.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (.f64 x (*.f64 x x)))) (neg.f64 x))
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(-.f64 #s(literal 0 binary64) (.f64 x (-.f64 (.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)))) (/.f64 (-.f64 (.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 (+.f64 (.f64 #s(literal -1/9 binary64) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 10 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (.f64 #s(literal -5/81 binary64) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 7 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64))))) (.f64 x (.f64 x x)))) (.f64 x (.f64 x x))))))
(cbrt (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 #s(literal 0 binary64) (.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 #s(literal -1 binary64))))
(* -1 (* (cbrt (pow x 2)) (cbrt -1)))
(-.f64 #s(literal 0 binary64) (.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 #s(literal -1 binary64))))
(* -1 (* (cbrt (pow x 2)) (cbrt -1)))
(-.f64 #s(literal 0 binary64) (.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 #s(literal -1 binary64))))
(* -1 (* (cbrt (pow x 2)) (cbrt -1)))
(-.f64 #s(literal 0 binary64) (.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 #s(literal -1 binary64))))

eval353.0ms (3.1%)

Compiler: Compiled 62983 to 5592 computations (91.1% saved)

prune205.0ms (1.8%)

Pruning

37 alts after pruning (35 fresh and 2 done)

	Pruned	Kept	Total
New	1815	21	1836
Fresh	18	14	32
Picked	5	0	5
Done	0	2	2
Total	1838	37	1875

Accuracy

99.7%

Counts

1875 → 37

Alt Table

Click to see full alt table

Status	Accuracy	Program
	92.3%	(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cbrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) (pow.f64 x #s(literal -1/3 binary64)))) (/.f64 x #s(literal 2/3 binary64)))
▶	92.3%	(/.f64 (/.f64 #s(literal 2/3 binary64) x) (+.f64 (pow.f64 x #s(literal -1/3 binary64)) (cbrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -2 binary64) (*.f64 x x))))))
	56.3%	(/.f64 (/.f64 #s(literal 2/3 binary64) x) (+.f64 (/.f64 (cbrt.f64 (/.f64 (-.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 x x))) (cbrt.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))))
▶	56.1%	(/.f64 (/.f64 #s(literal 2/3 binary64) x) (+.f64 (/.f64 (cbrt.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) (.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 2 binary64) x)))) (cbrt.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))))
	48.8%	(/.f64 (/.f64 #s(literal 2/3 binary64) x) (+.f64 (/.f64 (cbrt.f64 (*.f64 x (+.f64 #s(literal 2 binary64) x))) x) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))))
	56.2%	(/.f64 (/.f64 #s(literal 2/3 binary64) x) (+.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 2 binary64) x))) (.f64 x x))))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))))
	97.6%	(/.f64 (/.f64 #s(literal 2/3 binary64) x) (+.f64 (.f64 (cbrt.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -2 binary64) (.f64 x x))) #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -2 binary64) (*.f64 x x))) #s(literal 1/2 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))))
	97.8%	(/.f64 (/.f64 #s(literal 2/3 binary64) x) (+.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))))
	97.8%	(/.f64 (/.f64 #s(literal 2/3 binary64) x) (+.f64 (cbrt.f64 (pow.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -2 binary64) (*.f64 x x))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))))
	56.1%	(/.f64 (/.f64 #s(literal 2/3 binary64) x) (+.f64 (cbrt.f64 (/.f64 (+.f64 #s(literal 2 binary64) x) (*.f64 x x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))))
	96.8%	(/.f64 (/.f64 #s(literal 2/3 binary64) x) (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))))
▶	97.9%	(/.f64 (/.f64 #s(literal 2/3 binary64) x) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))))
	97.6%	(/.f64 (/.f64 #s(literal 2/3 binary64) x) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (.f64 (cbrt.f64 (pow.f64 x #s(literal -1/2 binary64))) (cbrt.f64 (pow.f64 x #s(literal -1/2 binary64))))))
	9.0%	(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))))
	31.6%	(/.f64 (+.f64 (/.f64 (.f64 #s(literal 2/3 binary64) (.f64 x 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)))) (/.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))))) (.f64 x (.f64 x x)))
	22.5%	(/.f64 (+.f64 (+.f64 (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 5/81 binary64))) (*.f64 x x))
	22.8%	(/.f64 (+.f64 (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (+.f64 (+.f64 (.f64 #s(literal -10/243 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 5/81 binary64))) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))))) (.f64 x x))
	21.9%	(/.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))
	92.3%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (cbrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) (pow.f64 x #s(literal -1/3 binary64))) (/.f64 #s(literal 2/3 binary64) x)))
	48.8%	(/.f64 #s(literal 2/3 binary64) (+.f64 (cbrt.f64 (.f64 x (+.f64 #s(literal 2 binary64) x))) (cbrt.f64 (.f64 x x))))
	88.5%	(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))
	4.7%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))
	8.0%	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64)))
	8.1%	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/3 binary64))))
✓	7.2%	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
	88.5%	(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))
	88.5%	(*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)))
	96.3%	(*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))
	88.5%	(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))))
	47.9%	(.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 (.f64 x x) #s(literal 1 binary64)))))
▶	88.9%	(.f64 #s(literal 1/3 binary64) (exp.f64 (.f64 (log.f64 x) #s(literal -2/3 binary64))))
	48.6%	(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (sqrt.f64 x) #s(literal -4 binary64))))
	48.6%	(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
	47.8%	(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64)))))
✓	47.8%	(.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))
	9.0%	(exp.f64 (neg.f64 (log.f64 (/.f64 (+.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 x #s(literal 1 binary64)) x)))))
▶	5.2%	(cbrt.f64 x)

Compiler

Compiled 1279 to 843 computations (34.1% saved)

simplify136.0ms (1.2%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	512	(cbrt.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 2 binary64) x))))
✓	cost-diff	512	(/.f64 (cbrt.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) (.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 2 binary64) x)))) (cbrt.f64 (-.f64 #s(literal 0 binary64) (.f64 x x))))
✓	cost-diff	512	(+.f64 (/.f64 (cbrt.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) (.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 2 binary64) x)))) (cbrt.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))
✓	cost-diff	512	(/.f64 (/.f64 #s(literal 2/3 binary64) x) (+.f64 (/.f64 (cbrt.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) (.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 2 binary64) x)))) (cbrt.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))))
✓	cost-diff	0	(pow.f64 x #s(literal -1/3 binary64))
✓	cost-diff	0	(+.f64 (pow.f64 x #s(literal -1/3 binary64)) (cbrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -2 binary64) (*.f64 x x)))))
✓	cost-diff	0	(/.f64 #s(literal 2/3 binary64) x)
✓	cost-diff	0	(/.f64 (/.f64 #s(literal 2/3 binary64) x) (+.f64 (pow.f64 x #s(literal -1/3 binary64)) (cbrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -2 binary64) (*.f64 x x))))))
✓	cost-diff	0	(log.f64 x)
✓	cost-diff	0	(*.f64 (log.f64 x) #s(literal -2/3 binary64))
✓	cost-diff	6464	(exp.f64 (*.f64 (log.f64 x) #s(literal -2/3 binary64)))
✓	cost-diff	6464	(.f64 #s(literal 1/3 binary64) (exp.f64 (.f64 (log.f64 x) #s(literal -2/3 binary64))))
✓	cost-diff	0	(cbrt.f64 x)
✓	cost-diff	0	(cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
✓	cost-diff	0	(+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
✓	cost-diff	0	(/.f64 #s(literal 2/3 binary64) x)
✓	cost-diff	0	(/.f64 (/.f64 #s(literal 2/3 binary64) x) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))))

Rules

1888×	`sum5-define`
1834×	`fnmadd-define`
1500×	`fma-define`
1294×	`fmsub-define`
1204×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	12884902123
1	77	12884902118
2	137	12884902108
3	328	12884902108
4	1092	12884902093
5	3707	12884902093
6	6855	12884902093
0	8192	236

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize271.0ms (2.4%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.4%	(/.f64 (/.f64 #s(literal 2/3 binary64) x) (+.f64 (/.f64 (cbrt.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) (.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 2 binary64) x)))) (cbrt.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))))
✓	accuracy	99.1%	(cbrt.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 2 binary64) x))))
✓	accuracy	99.0%	(cbrt.f64 (/.f64 #s(literal 1 binary64) x))
✓	accuracy	50.1%	(cbrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)))
✓	accuracy	99.4%	(/.f64 (/.f64 #s(literal 2/3 binary64) x) (+.f64 (pow.f64 x #s(literal -1/3 binary64)) (cbrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -2 binary64) (*.f64 x x))))))
✓	accuracy	99.2%	(/.f64 #s(literal -2 binary64) (*.f64 x x))
✓	accuracy	99.0%	(cbrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -2 binary64) (*.f64 x x))))
✓	accuracy	92.1%	(pow.f64 x #s(literal -1/3 binary64))
✓	accuracy	100.0%	(log.f64 x)
✓	accuracy	99.4%	(*.f64 (log.f64 x) #s(literal -2/3 binary64))
✓	accuracy	99.4%	(.f64 #s(literal 1/3 binary64) (exp.f64 (.f64 (log.f64 x) #s(literal -2/3 binary64))))
✓	accuracy	92.1%	(exp.f64 (*.f64 (log.f64 x) #s(literal -2/3 binary64)))
✓	accuracy	99.1%	(cbrt.f64 x)
✓	accuracy	99.4%	(/.f64 (/.f64 #s(literal 2/3 binary64) x) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))))
✓	accuracy	99.2%	(/.f64 #s(literal 2 binary64) (*.f64 x x))
✓	accuracy	99.1%	(cbrt.f64 x)
✓	accuracy	99.0%	(cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))))

Results

196.0ms	255×	0	valid
2.0ms	1×	5	exit

Compiler

Compiled 312 to 41 computations (86.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 76.0ms

ival-div: 17.0ms (22.5% of total)

...c/correct-round.rkt:119:19: 16.0ms (21.2% of total)

ival-cbrt: 10.0ms (13.2% of total)

ival-mult: 8.0ms (10.6% of total)

ival-pow: 7.0ms (9.3% of total)

ival-add: 6.0ms (7.9% of total)

ival-log: 4.0ms (5.3% of total)

ival-exp: 3.0ms (4% of total)

ival-sub: 3.0ms (4% of total)

const: 1.0ms (1.3% of total)

backward-pass: 1.0ms (1.3% of total)

series35.0ms (0.3%)

Counts

21 → 252

Calls

Call 1

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

Outputs
#<alt (/ 2/3 (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))))>
#<alt (/ 2/3 (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))))>
#<alt (/ 2/3 (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))))>
#<alt (/ 2/3 (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))))>
#<alt (/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))))>
#<alt (/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))))>
#<alt (/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))))>
#<alt (/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))))>
#<alt (/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))))>
#<alt (/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))))>
#<alt (/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))))>
#<alt (/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))))>
#<alt (/ 2/3 x)>
#<alt (/ 2/3 x)>
#<alt (/ 2/3 x)>
#<alt (/ 2/3 x)>
#<alt (/ 2/3 x)>
#<alt (/ 2/3 x)>
#<alt (/ 2/3 x)>
#<alt (/ 2/3 x)>
#<alt (/ 2/3 x)>
#<alt (/ 2/3 x)>
#<alt (/ 2/3 x)>
#<alt (/ 2/3 x)>
#<alt (/ (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))) x)>
#<alt (/ (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))) x)>
#<alt (/ (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))) x)>
#<alt (/ (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))) x)>
#<alt (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))>
#<alt (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))>
#<alt (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))>
#<alt (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))>
#<alt (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))>
#<alt (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))>
#<alt (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))>
#<alt (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))>
#<alt (* (/ 1 x) (cbrt (+ (* 2 x) (pow x 2))))>
#<alt (* (/ 1 x) (cbrt (+ (* 2 x) (pow x 2))))>
#<alt (* (/ 1 x) (cbrt (+ (* 2 x) (pow x 2))))>
#<alt (* (/ 1 x) (cbrt (+ (* 2 x) (pow x 2))))>
#<alt (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))>
#<alt (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))>
#<alt (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))>
#<alt (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))>
#<alt (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))>
#<alt (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))>
#<alt (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))>
#<alt (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (* -1 (* (cbrt x) (cbrt -1)))>
#<alt (* -1 (* (cbrt x) (cbrt -1)))>
#<alt (* -1 (* (cbrt x) (cbrt -1)))>
#<alt (* -1 (* (cbrt x) (cbrt -1)))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (* -2/3 (log x))>
#<alt (* -2/3 (log x))>
#<alt (* -2/3 (log x))>
#<alt (* -2/3 (log x))>
#<alt (* 2/3 (log (/ 1 x)))>
#<alt (* 2/3 (log (/ 1 x)))>
#<alt (* 2/3 (log (/ 1 x)))>
#<alt (* 2/3 (log (/ 1 x)))>
#<alt (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))>
#<alt (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))>
#<alt (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))>
#<alt (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))>
#<alt (log x)>
#<alt (log x)>
#<alt (log x)>
#<alt (log x)>
#<alt (* -1 (log (/ 1 x)))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (/ 2/3 (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))))>
#<alt (/ 2/3 (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))))>
#<alt (/ 2/3 (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))))>
#<alt (/ 2/3 (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))))>
#<alt (/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))))>
#<alt (/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))))>
#<alt (/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))))>
#<alt (/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))))>
#<alt (/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2)))))>
#<alt (/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2)))))>
#<alt (/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2)))))>
#<alt (/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2)))))>
#<alt (/ (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))) x)>
#<alt (/ (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))) x)>
#<alt (/ (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))) x)>
#<alt (/ (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))) x)>
#<alt (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))>
#<alt (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))>
#<alt (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))>
#<alt (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))>
#<alt (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2)))>
#<alt (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2)))>
#<alt (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2)))>
#<alt (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2)))>
#<alt (cbrt (/ 1 x))>
#<alt (cbrt (/ 1 x))>
#<alt (cbrt (/ 1 x))>
#<alt (cbrt (/ 1 x))>
#<alt (cbrt (/ 1 x))>
#<alt (cbrt (/ 1 x))>
#<alt (cbrt (/ 1 x))>
#<alt (cbrt (/ 1 x))>
#<alt (* (cbrt (/ 1 x)) (pow (cbrt -1) 2))>
#<alt (* (cbrt (/ 1 x)) (pow (cbrt -1) 2))>
#<alt (* (cbrt (/ 1 x)) (pow (cbrt -1) 2))>
#<alt (* (cbrt (/ 1 x)) (pow (cbrt -1) 2))>
#<alt (/ 2/3 (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))))>
#<alt (/ 2/3 (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))))>
#<alt (/ 2/3 (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))))>
#<alt (/ 2/3 (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))))>
#<alt (/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))))>
#<alt (/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))))>
#<alt (/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))))>
#<alt (/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))))>
#<alt (/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2)))))>
#<alt (/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2)))))>
#<alt (/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2)))))>
#<alt (/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2)))))>
#<alt (/ (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))) x)>
#<alt (/ (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))) x)>
#<alt (/ (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))) x)>
#<alt (/ (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))) x)>
#<alt (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))>
#<alt (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))>
#<alt (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))>
#<alt (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))>
#<alt (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2)))>
#<alt (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2)))>
#<alt (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2)))>
#<alt (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2)))>
#<alt (* (/ 1 x) (cbrt (+ (* 2 x) (pow x 2))))>
#<alt (* (/ 1 x) (cbrt (+ (* 2 x) (pow x 2))))>
#<alt (* (/ 1 x) (cbrt (+ (* 2 x) (pow x 2))))>
#<alt (* (/ 1 x) (cbrt (+ (* 2 x) (pow x 2))))>
#<alt (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))>
#<alt (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))>
#<alt (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))>
#<alt (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))>
#<alt (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))>
#<alt (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))>
#<alt (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))>
#<alt (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))>
#<alt (* (cbrt -1) (cbrt 2))>
#<alt (+ (* 1/3 (* (* x (cbrt -1)) (cbrt (/ 1 (pow (cbrt 2) 2))))) (* (cbrt -1) (cbrt 2)))>
#<alt (+ (* x (+ (* -1/9 (* (* x (cbrt -1)) (cbrt (/ 1 (pow (cbrt 2) 7))))) (* 1/3 (* (cbrt -1) (cbrt (/ 1 (pow (cbrt 2) 2))))))) (* (cbrt -1) (cbrt 2)))>
#<alt (+ (* x (+ (* 1/3 (* (cbrt -1) (cbrt (/ 1 (pow (cbrt 2) 2))))) (* x (+ (* -1/9 (* (cbrt -1) (cbrt (/ 1 (pow (cbrt 2) 7))))) (* 5/81 (/ (* x (cbrt -1)) (pow (cbrt 2) 4))))))) (* (cbrt -1) (cbrt 2)))>
#<alt (* (cbrt x) (cbrt -1))>
#<alt (* x (+ (* 2/3 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))>
#<alt (* x (+ (* -4/9 (* (cbrt (/ 1 (pow x 8))) (cbrt -1))) (+ (* 2/3 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))>
#<alt (* x (+ (* -4/9 (* (cbrt (/ 1 (pow x 8))) (cbrt -1))) (+ (* 40/81 (* (cbrt (/ 1 (pow x 11))) (cbrt -1))) (+ (* 2/3 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))))>
#<alt (* -1 (cbrt x))>
#<alt (* -1 (* x (+ (cbrt (/ 1 (pow x 2))) (* 2/3 (cbrt (/ 1 (pow x 5)))))))>
#<alt (* -1 (* x (+ (cbrt (/ 1 (pow x 2))) (* -1 (/ (+ (* -2/3 (cbrt (pow x 4))) (* 4/9 (cbrt x))) (pow x 3))))))>
#<alt (* -1 (* x (+ (cbrt (/ 1 (pow x 2))) (* -1 (/ (+ (* -1 (/ (+ (* -4/9 (cbrt (pow x 10))) (* 40/81 (cbrt (pow x 7)))) (pow x 3))) (* -2/3 (cbrt (pow x 4)))) (pow x 3))))))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (* (/ 1 x) (cbrt (+ (* 2 x) (pow x 2))))>
#<alt (* (/ 1 x) (cbrt (+ (* 2 x) (pow x 2))))>
#<alt (* (/ 1 x) (cbrt (+ (* 2 x) (pow x 2))))>
#<alt (* (/ 1 x) (cbrt (+ (* 2 x) (pow x 2))))>
#<alt (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))>
#<alt (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))>
#<alt (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))>
#<alt (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))>
#<alt (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))>
#<alt (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))>
#<alt (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))>
#<alt (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))>
#<alt (/ -2 (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (* (cbrt (pow x 2)) (cbrt -1))>
#<alt (* (cbrt (pow x 2)) (cbrt -1))>
#<alt (* (cbrt (pow x 2)) (cbrt -1))>
#<alt (* (cbrt (pow x 2)) (cbrt -1))>
#<alt (* (cbrt (pow x 2)) (cbrt -1))>
#<alt (* (cbrt (pow x 2)) (cbrt -1))>
#<alt (* (cbrt (pow x 2)) (cbrt -1))>
#<alt (* (cbrt (pow x 2)) (cbrt -1))>
#<alt (* -1 (* (cbrt (pow x 2)) (pow (cbrt -1) 2)))>
#<alt (* -1 (* (cbrt (pow x 2)) (pow (cbrt -1) 2)))>
#<alt (* -1 (* (cbrt (pow x 2)) (pow (cbrt -1) 2)))>
#<alt (* -1 (* (cbrt (pow x 2)) (pow (cbrt -1) 2)))>
#<alt (cbrt (/ 1 x))>
#<alt (cbrt (/ 1 x))>
#<alt (cbrt (/ 1 x))>
#<alt (cbrt (/ 1 x))>
#<alt (cbrt (/ 1 x))>
#<alt (cbrt (/ 1 x))>
#<alt (cbrt (/ 1 x))>
#<alt (cbrt (/ 1 x))>
#<alt (* (cbrt (/ 1 x)) (pow (cbrt -1) 2))>
#<alt (* (cbrt (/ 1 x)) (pow (cbrt -1) 2))>
#<alt (* (cbrt (/ 1 x)) (pow (cbrt -1) 2))>
#<alt (* (cbrt (/ 1 x)) (pow (cbrt -1) 2))>

Calls

63 calls:

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

rewrite230.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

1744×	`-lowering-.f32`
1744×	`-lowering-.f64`
1598×	`/-lowering-/.f32`
1598×	`/-lowering-/.f64`
1312×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	175
1	255	159
2	2975	156
0	9205	153

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 758

Calls

Call 1

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

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

simplify282.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

3174×	`-lowering-.f32`
3174×	`-lowering-.f64`
1406×	`fma-lowering-fma.f32`
1406×	`fma-lowering-fma.f64`
986×	`fnmadd-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	149	2412
1	371	2326
2	1062	2319
3	2745	2309
4	5505	2308
0	8410	2308

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 252

Calls

Call 1

Inputs
(/ 2/3 (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))))
(/ 2/3 (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))))
(/ 2/3 (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))))
(/ 2/3 (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))))
(/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))))
(/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))))
(/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))))
(/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))))
(/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))))
(/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))))
(/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))))
(/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))))
(/ 2/3 x)
(/ 2/3 x)
(/ 2/3 x)
(/ 2/3 x)
(/ 2/3 x)
(/ 2/3 x)
(/ 2/3 x)
(/ 2/3 x)
(/ 2/3 x)
(/ 2/3 x)
(/ 2/3 x)
(/ 2/3 x)
(/ (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))) x)
(/ (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))) x)
(/ (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))) x)
(/ (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))) x)
(+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))
(+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))
(+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))
(+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))
(+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))
(+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))
(+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))
(+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))
(* (/ 1 x) (cbrt (+ (* 2 x) (pow x 2))))
(* (/ 1 x) (cbrt (+ (* 2 x) (pow x 2))))
(* (/ 1 x) (cbrt (+ (* 2 x) (pow x 2))))
(* (/ 1 x) (cbrt (+ (* 2 x) (pow x 2))))
(cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))
(cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))
(cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))
(cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))
(cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))
(cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))
(cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))
(cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(* -1 (* (cbrt x) (cbrt -1)))
(* -1 (* (cbrt x) (cbrt -1)))
(* -1 (* (cbrt x) (cbrt -1)))
(* -1 (* (cbrt x) (cbrt -1)))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(* -2/3 (log x))
(* -2/3 (log x))
(* -2/3 (log x))
(* -2/3 (log x))
(* 2/3 (log (/ 1 x)))
(* 2/3 (log (/ 1 x)))
(* 2/3 (log (/ 1 x)))
(* 2/3 (log (/ 1 x)))
(* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))
(* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))
(* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))
(* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))
(log x)
(log x)
(log x)
(log x)
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(/ 2/3 (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))))
(/ 2/3 (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))))
(/ 2/3 (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))))
(/ 2/3 (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))))
(/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))))
(/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))))
(/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))))
(/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))))
(/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2)))))
(/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2)))))
(/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2)))))
(/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2)))))
(/ (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))) x)
(/ (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))) x)
(/ (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))) x)
(/ (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))) x)
(+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))
(+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))
(+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))
(+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))
(+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2)))
(+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2)))
(+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2)))
(+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2)))
(cbrt (/ 1 x))
(cbrt (/ 1 x))
(cbrt (/ 1 x))
(cbrt (/ 1 x))
(cbrt (/ 1 x))
(cbrt (/ 1 x))
(cbrt (/ 1 x))
(cbrt (/ 1 x))
(* (cbrt (/ 1 x)) (pow (cbrt -1) 2))
(* (cbrt (/ 1 x)) (pow (cbrt -1) 2))
(* (cbrt (/ 1 x)) (pow (cbrt -1) 2))
(* (cbrt (/ 1 x)) (pow (cbrt -1) 2))
(/ 2/3 (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))))
(/ 2/3 (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))))
(/ 2/3 (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))))
(/ 2/3 (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))))
(/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))))
(/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))))
(/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))))
(/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))))
(/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2)))))
(/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2)))))
(/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2)))))
(/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2)))))
(/ (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))) x)
(/ (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))) x)
(/ (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))) x)
(/ (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))) x)
(+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))
(+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))
(+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))
(+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))
(+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2)))
(+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2)))
(+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2)))
(+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2)))
(* (/ 1 x) (cbrt (+ (* 2 x) (pow x 2))))
(* (/ 1 x) (cbrt (+ (* 2 x) (pow x 2))))
(* (/ 1 x) (cbrt (+ (* 2 x) (pow x 2))))
(* (/ 1 x) (cbrt (+ (* 2 x) (pow x 2))))
(cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))
(cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))
(cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))
(cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))
(cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))
(cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))
(cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))
(cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))
(* (cbrt -1) (cbrt 2))
(+ (* 1/3 (* (* x (cbrt -1)) (cbrt (/ 1 (pow (cbrt 2) 2))))) (* (cbrt -1) (cbrt 2)))
(+ (* x (+ (* -1/9 (* (* x (cbrt -1)) (cbrt (/ 1 (pow (cbrt 2) 7))))) (* 1/3 (* (cbrt -1) (cbrt (/ 1 (pow (cbrt 2) 2))))))) (* (cbrt -1) (cbrt 2)))
(+ (* x (+ (* 1/3 (* (cbrt -1) (cbrt (/ 1 (pow (cbrt 2) 2))))) (* x (+ (* -1/9 (* (cbrt -1) (cbrt (/ 1 (pow (cbrt 2) 7))))) (* 5/81 (/ (* x (cbrt -1)) (pow (cbrt 2) 4))))))) (* (cbrt -1) (cbrt 2)))
(* (cbrt x) (cbrt -1))
(* x (+ (* 2/3 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))
(* x (+ (* -4/9 (* (cbrt (/ 1 (pow x 8))) (cbrt -1))) (+ (* 2/3 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(* x (+ (* -4/9 (* (cbrt (/ 1 (pow x 8))) (cbrt -1))) (+ (* 40/81 (* (cbrt (/ 1 (pow x 11))) (cbrt -1))) (+ (* 2/3 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))))
(* -1 (cbrt x))
(* -1 (* x (+ (cbrt (/ 1 (pow x 2))) (* 2/3 (cbrt (/ 1 (pow x 5)))))))
(* -1 (* x (+ (cbrt (/ 1 (pow x 2))) (* -1 (/ (+ (* -2/3 (cbrt (pow x 4))) (* 4/9 (cbrt x))) (pow x 3))))))
(* -1 (* x (+ (cbrt (/ 1 (pow x 2))) (* -1 (/ (+ (* -1 (/ (+ (* -4/9 (cbrt (pow x 10))) (* 40/81 (cbrt (pow x 7)))) (pow x 3))) (* -2/3 (cbrt (pow x 4)))) (pow x 3))))))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(* (/ 1 x) (cbrt (+ (* 2 x) (pow x 2))))
(* (/ 1 x) (cbrt (+ (* 2 x) (pow x 2))))
(* (/ 1 x) (cbrt (+ (* 2 x) (pow x 2))))
(* (/ 1 x) (cbrt (+ (* 2 x) (pow x 2))))
(cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))
(cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))
(cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))
(cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))
(cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))
(cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))
(cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))
(cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(* (cbrt (pow x 2)) (cbrt -1))
(* (cbrt (pow x 2)) (cbrt -1))
(* (cbrt (pow x 2)) (cbrt -1))
(* (cbrt (pow x 2)) (cbrt -1))
(* (cbrt (pow x 2)) (cbrt -1))
(* (cbrt (pow x 2)) (cbrt -1))
(* (cbrt (pow x 2)) (cbrt -1))
(* (cbrt (pow x 2)) (cbrt -1))
(* -1 (* (cbrt (pow x 2)) (pow (cbrt -1) 2)))
(* -1 (* (cbrt (pow x 2)) (pow (cbrt -1) 2)))
(* -1 (* (cbrt (pow x 2)) (pow (cbrt -1) 2)))
(* -1 (* (cbrt (pow x 2)) (pow (cbrt -1) 2)))
(cbrt (/ 1 x))
(cbrt (/ 1 x))
(cbrt (/ 1 x))
(cbrt (/ 1 x))
(cbrt (/ 1 x))
(cbrt (/ 1 x))
(cbrt (/ 1 x))
(cbrt (/ 1 x))
(* (cbrt (/ 1 x)) (pow (cbrt -1) 2))
(* (cbrt (/ 1 x)) (pow (cbrt -1) 2))
(* (cbrt (/ 1 x)) (pow (cbrt -1) 2))
(* (cbrt (/ 1 x)) (pow (cbrt -1) 2))

Outputs
(/ 2/3 (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))))
(/.f64 #s(literal 2/3 binary64) (+.f64 (cbrt.f64 (.f64 x (+.f64 #s(literal 2 binary64) x))) (cbrt.f64 (.f64 x x))))
(/ 2/3 (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))))
(/.f64 #s(literal 2/3 binary64) (+.f64 (cbrt.f64 (.f64 x (+.f64 #s(literal 2 binary64) x))) (cbrt.f64 (.f64 x x))))
(/ 2/3 (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))))
(/.f64 #s(literal 2/3 binary64) (+.f64 (cbrt.f64 (.f64 x (+.f64 #s(literal 2 binary64) x))) (cbrt.f64 (.f64 x x))))
(/ 2/3 (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))))
(/.f64 #s(literal 2/3 binary64) (+.f64 (cbrt.f64 (.f64 x (+.f64 #s(literal 2 binary64) x))) (cbrt.f64 (.f64 x x))))
(/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))))
(/.f64 (/.f64 #s(literal 2/3 binary64) x) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))))
(/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))))
(/.f64 (/.f64 #s(literal 2/3 binary64) x) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))))
(/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))))
(/.f64 (/.f64 #s(literal 2/3 binary64) x) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))))
(/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))))
(/.f64 (/.f64 #s(literal 2/3 binary64) x) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))))
(/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))))
(/.f64 (/.f64 #s(literal 2/3 binary64) x) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))))
(/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))))
(/.f64 (/.f64 #s(literal 2/3 binary64) x) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))))
(/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))))
(/.f64 (/.f64 #s(literal 2/3 binary64) x) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))))
(/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))))
(/.f64 (/.f64 #s(literal 2/3 binary64) x) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))))
(/ 2/3 x)
(/.f64 #s(literal 2/3 binary64) x)
(/ 2/3 x)
(/.f64 #s(literal 2/3 binary64) x)
(/ 2/3 x)
(/.f64 #s(literal 2/3 binary64) x)
(/ 2/3 x)
(/.f64 #s(literal 2/3 binary64) x)
(/ 2/3 x)
(/.f64 #s(literal 2/3 binary64) x)
(/ 2/3 x)
(/.f64 #s(literal 2/3 binary64) x)
(/ 2/3 x)
(/.f64 #s(literal 2/3 binary64) x)
(/ 2/3 x)
(/.f64 #s(literal 2/3 binary64) x)
(/ 2/3 x)
(/.f64 #s(literal 2/3 binary64) x)
(/ 2/3 x)
(/.f64 #s(literal 2/3 binary64) x)
(/ 2/3 x)
(/.f64 #s(literal 2/3 binary64) x)
(/ 2/3 x)
(/.f64 #s(literal 2/3 binary64) x)
(/ (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))) x)
(/.f64 (+.f64 (cbrt.f64 (.f64 x (+.f64 #s(literal 2 binary64) x))) (cbrt.f64 (.f64 x x))) x)
(/ (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))) x)
(/.f64 (+.f64 (cbrt.f64 (.f64 x (+.f64 #s(literal 2 binary64) x))) (cbrt.f64 (.f64 x x))) x)
(/ (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))) x)
(/.f64 (+.f64 (cbrt.f64 (.f64 x (+.f64 #s(literal 2 binary64) x))) (cbrt.f64 (.f64 x x))) x)
(/ (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))) x)
(/.f64 (+.f64 (cbrt.f64 (.f64 x (+.f64 #s(literal 2 binary64) x))) (cbrt.f64 (.f64 x x))) x)
(+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))
(+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))
(+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))
(+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))
(+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))
(+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))
(+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))
(+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))
(+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))
(+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))
(+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))
(+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))
(+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))
(+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))
(+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))
(+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (/ 1 x) (cbrt (+ (* 2 x) (pow x 2))))
(/.f64 (cbrt.f64 (*.f64 x (+.f64 #s(literal 2 binary64) x))) x)
(* (/ 1 x) (cbrt (+ (* 2 x) (pow x 2))))
(/.f64 (cbrt.f64 (*.f64 x (+.f64 #s(literal 2 binary64) x))) x)
(* (/ 1 x) (cbrt (+ (* 2 x) (pow x 2))))
(/.f64 (cbrt.f64 (*.f64 x (+.f64 #s(literal 2 binary64) x))) x)
(* (/ 1 x) (cbrt (+ (* 2 x) (pow x 2))))
(/.f64 (cbrt.f64 (*.f64 x (+.f64 #s(literal 2 binary64) x))) x)
(cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))
(cbrt.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))
(cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))
(cbrt.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))
(cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))
(cbrt.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))
(cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))
(cbrt.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))
(cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))
(cbrt.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))
(cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))
(cbrt.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))
(cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))
(cbrt.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))
(cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))
(cbrt.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x 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 x) (-.f64 #s(literal 0 binary64) (cbrt.f64 #s(literal -1 binary64))))
(* -1 (* (cbrt x) (cbrt -1)))
(*.f64 (cbrt.f64 x) (-.f64 #s(literal 0 binary64) (cbrt.f64 #s(literal -1 binary64))))
(* -1 (* (cbrt x) (cbrt -1)))
(*.f64 (cbrt.f64 x) (-.f64 #s(literal 0 binary64) (cbrt.f64 #s(literal -1 binary64))))
(* -1 (* (cbrt x) (cbrt -1)))
(*.f64 (cbrt.f64 x) (-.f64 #s(literal 0 binary64) (cbrt.f64 #s(literal -1 binary64))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))
(* 1/3 (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)))
(* -2/3 (log x))
(*.f64 #s(literal -2/3 binary64) (log.f64 x))
(* -2/3 (log x))
(*.f64 #s(literal -2/3 binary64) (log.f64 x))
(* -2/3 (log x))
(*.f64 #s(literal -2/3 binary64) (log.f64 x))
(* -2/3 (log x))
(*.f64 #s(literal -2/3 binary64) (log.f64 x))
(* 2/3 (log (/ 1 x)))
(*.f64 #s(literal -2/3 binary64) (log.f64 x))
(* 2/3 (log (/ 1 x)))
(*.f64 #s(literal -2/3 binary64) (log.f64 x))
(* 2/3 (log (/ 1 x)))
(*.f64 #s(literal -2/3 binary64) (log.f64 x))
(* 2/3 (log (/ 1 x)))
(*.f64 #s(literal -2/3 binary64) (log.f64 x))
(* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))
(*.f64 #s(literal -2/3 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))
(*.f64 #s(literal -2/3 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))
(*.f64 #s(literal -2/3 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))
(*.f64 #s(literal -2/3 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(log x)
(log.f64 x)
(log x)
(log.f64 x)
(log x)
(log.f64 x)
(log x)
(log.f64 x)
(* -1 (log (/ 1 x)))
(log.f64 x)
(* -1 (log (/ 1 x)))
(log.f64 x)
(* -1 (log (/ 1 x)))
(log.f64 x)
(* -1 (log (/ 1 x)))
(log.f64 x)
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(/ 2/3 (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))))
(/.f64 #s(literal 2/3 binary64) (+.f64 (cbrt.f64 (.f64 x (+.f64 #s(literal 2 binary64) x))) (cbrt.f64 (.f64 x x))))
(/ 2/3 (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))))
(/.f64 #s(literal 2/3 binary64) (+.f64 (cbrt.f64 (.f64 x (+.f64 #s(literal 2 binary64) x))) (cbrt.f64 (.f64 x x))))
(/ 2/3 (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))))
(/.f64 #s(literal 2/3 binary64) (+.f64 (cbrt.f64 (.f64 x (+.f64 #s(literal 2 binary64) x))) (cbrt.f64 (.f64 x x))))
(/ 2/3 (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))))
(/.f64 #s(literal 2/3 binary64) (+.f64 (cbrt.f64 (.f64 x (+.f64 #s(literal 2 binary64) x))) (cbrt.f64 (.f64 x x))))
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(.f64 x (.f64 (cbrt.f64 #s(literal -1 binary64)) (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) (+.f64 (.f64 #s(literal 2/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (*.f64 #s(literal -4/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64)))))))))
(* x (+ (* -4/9 (* (cbrt (/ 1 (pow x 8))) (cbrt -1))) (+ (* 40/81 (* (cbrt (/ 1 (pow x 11))) (cbrt -1))) (+ (* 2/3 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))))
(.f64 x (.f64 (cbrt.f64 #s(literal -1 binary64)) (+.f64 (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 #s(literal 2/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) (+.f64 (.f64 #s(literal 40/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 11 binary64))))) (.f64 #s(literal -4/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64)))))))))
(* -1 (cbrt x))
(-.f64 #s(literal 0 binary64) (cbrt.f64 x))
(* -1 (* x (+ (cbrt (/ 1 (pow x 2))) (* 2/3 (cbrt (/ 1 (pow x 5)))))))
(.f64 x (-.f64 (.f64 #s(literal -2/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
(* -1 (* x (+ (cbrt (/ 1 (pow x 2))) (* -1 (/ (+ (* -2/3 (cbrt (pow x 4))) (* 4/9 (cbrt x))) (pow x 3))))))
(-.f64 (/.f64 (+.f64 (.f64 #s(literal -2/3 binary64) (cbrt.f64 (.f64 (.f64 x (.f64 x x)) x))) (.f64 (cbrt.f64 x) #s(literal 4/9 binary64))) (.f64 x x)) (.f64 x (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)))))
(* -1 (* x (+ (cbrt (/ 1 (pow x 2))) (* -1 (/ (+ (* -1 (/ (+ (* -4/9 (cbrt (pow x 10))) (* 40/81 (cbrt (pow x 7)))) (pow x 3))) (* -2/3 (cbrt (pow x 4)))) (pow x 3))))))
(-.f64 (/.f64 (-.f64 (.f64 #s(literal -2/3 binary64) (cbrt.f64 (.f64 (.f64 x (.f64 x x)) x))) (/.f64 (+.f64 (.f64 #s(literal -4/9 binary64) (cbrt.f64 (pow.f64 x #s(literal 10 binary64)))) (.f64 #s(literal 40/81 binary64) (cbrt.f64 (pow.f64 x #s(literal 7 binary64))))) (.f64 x (.f64 x x)))) (.f64 x x)) (.f64 x (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(* (/ 1 x) (cbrt (+ (* 2 x) (pow x 2))))
(/.f64 (cbrt.f64 (*.f64 x (+.f64 #s(literal 2 binary64) x))) x)
(* (/ 1 x) (cbrt (+ (* 2 x) (pow x 2))))
(/.f64 (cbrt.f64 (*.f64 x (+.f64 #s(literal 2 binary64) x))) x)
(* (/ 1 x) (cbrt (+ (* 2 x) (pow x 2))))
(/.f64 (cbrt.f64 (*.f64 x (+.f64 #s(literal 2 binary64) x))) x)
(* (/ 1 x) (cbrt (+ (* 2 x) (pow x 2))))
(/.f64 (cbrt.f64 (*.f64 x (+.f64 #s(literal 2 binary64) x))) x)
(cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))
(cbrt.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))
(cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))
(cbrt.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))
(cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))
(cbrt.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))
(cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))
(cbrt.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))
(cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))
(cbrt.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))
(cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))
(cbrt.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))
(cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))
(cbrt.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))
(cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))
(cbrt.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(* (cbrt (pow x 2)) (cbrt -1))
(.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 #s(literal -1 binary64)))
(* (cbrt (pow x 2)) (cbrt -1))
(.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 #s(literal -1 binary64)))
(* (cbrt (pow x 2)) (cbrt -1))
(.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 #s(literal -1 binary64)))
(* (cbrt (pow x 2)) (cbrt -1))
(.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 #s(literal -1 binary64)))
(* (cbrt (pow x 2)) (cbrt -1))
(.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 #s(literal -1 binary64)))
(* (cbrt (pow x 2)) (cbrt -1))
(.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 #s(literal -1 binary64)))
(* (cbrt (pow x 2)) (cbrt -1))
(.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 #s(literal -1 binary64)))
(* (cbrt (pow x 2)) (cbrt -1))
(.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 #s(literal -1 binary64)))
(* -1 (* (cbrt (pow x 2)) (pow (cbrt -1) 2)))
(.f64 (cbrt.f64 (.f64 x x)) (-.f64 #s(literal 0 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(* -1 (* (cbrt (pow x 2)) (pow (cbrt -1) 2)))
(.f64 (cbrt.f64 (.f64 x x)) (-.f64 #s(literal 0 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(* -1 (* (cbrt (pow x 2)) (pow (cbrt -1) 2)))
(.f64 (cbrt.f64 (.f64 x x)) (-.f64 #s(literal 0 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(* -1 (* (cbrt (pow x 2)) (pow (cbrt -1) 2)))
(.f64 (cbrt.f64 (.f64 x x)) (-.f64 #s(literal 0 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(cbrt (/ 1 x))
(cbrt.f64 (/.f64 #s(literal 1 binary64) x))
(cbrt (/ 1 x))
(cbrt.f64 (/.f64 #s(literal 1 binary64) x))
(cbrt (/ 1 x))
(cbrt.f64 (/.f64 #s(literal 1 binary64) x))
(cbrt (/ 1 x))
(cbrt.f64 (/.f64 #s(literal 1 binary64) x))
(cbrt (/ 1 x))
(cbrt.f64 (/.f64 #s(literal 1 binary64) x))
(cbrt (/ 1 x))
(cbrt.f64 (/.f64 #s(literal 1 binary64) x))
(cbrt (/ 1 x))
(cbrt.f64 (/.f64 #s(literal 1 binary64) x))
(cbrt (/ 1 x))
(cbrt.f64 (/.f64 #s(literal 1 binary64) x))
(* (cbrt (/ 1 x)) (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 (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 (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 (cbrt -1) 2))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))

eval150.0ms (1.3%)

Compiler: Compiled 25344 to 2224 computations (91.2% saved)

prune161.0ms (1.4%)

Pruning

43 alts after pruning (38 fresh and 5 done)

	Pruned	Kept	Total
New	1097	15	1112
Fresh	7	23	30
Picked	2	3	5
Done	0	2	2
Total	1106	43	1149

Accuracy

99.9%

Counts

1149 → 43

Alt Table

Click to see full alt table

Status	Accuracy	Program
	5.2%	(pow.f64 x #s(literal 1/3 binary64))
	97.9%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 x #s(literal 2/3 binary64))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))))
	92.3%	(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cbrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) (pow.f64 x #s(literal -1/3 binary64)))) (/.f64 x #s(literal 2/3 binary64)))
	46.8%	(/.f64 (/.f64 #s(literal 2/3 binary64) x) (+.f64 (pow.f64 x #s(literal -1/3 binary64)) (/.f64 (cbrt.f64 (*.f64 x (+.f64 #s(literal 2 binary64) x))) x)))
	91.5%	(/.f64 (/.f64 #s(literal 2/3 binary64) x) (+.f64 (pow.f64 x #s(literal -1/3 binary64)) (exp.f64 (-.f64 (.f64 (log.f64 (.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) x)) #s(literal 1/3 binary64)) (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1/3 binary64))))))
	45.4%	(/.f64 (/.f64 #s(literal 2/3 binary64) x) (+.f64 (/.f64 (/.f64 (cbrt.f64 (-.f64 (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) (.f64 x #s(literal 2 binary64))) (.f64 x x)) (.f64 x x))) (cbrt.f64 (.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) x))) (cbrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))))
	55.2%	(/.f64 (/.f64 #s(literal 2/3 binary64) x) (+.f64 (/.f64 (-.f64 #s(literal 0 binary64) (cbrt.f64 x)) (cbrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))))
	96.9%	(/.f64 (/.f64 #s(literal 2/3 binary64) x) (+.f64 (/.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))))
	48.9%	(/.f64 (/.f64 #s(literal 2/3 binary64) x) (+.f64 (/.f64 (cbrt.f64 (*.f64 x (+.f64 #s(literal 2 binary64) x))) x) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))))
	35.1%	(/.f64 (/.f64 #s(literal 2/3 binary64) x) (+.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (.f64 x #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))))
	97.6%	(/.f64 (/.f64 #s(literal 2/3 binary64) x) (+.f64 (.f64 (cbrt.f64 (pow.f64 x #s(literal -1/2 binary64))) (cbrt.f64 (pow.f64 x #s(literal -1/2 binary64)))) (cbrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -2 binary64) (.f64 x x))))))
	93.0%	(/.f64 (/.f64 #s(literal 2/3 binary64) x) (+.f64 (exp.f64 (.f64 (log.f64 (pow.f64 x #s(literal -1/6 binary64))) #s(literal 2 binary64))) (cbrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -2 binary64) (.f64 x x))))))
	97.8%	(/.f64 (/.f64 #s(literal 2/3 binary64) x) (+.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))))
	97.8%	(/.f64 (/.f64 #s(literal 2/3 binary64) x) (+.f64 (cbrt.f64 (pow.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -2 binary64) (*.f64 x x))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))))
	56.1%	(/.f64 (/.f64 #s(literal 2/3 binary64) x) (+.f64 (cbrt.f64 (/.f64 (+.f64 #s(literal 2 binary64) x) (*.f64 x x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))))
	96.8%	(/.f64 (/.f64 #s(literal 2/3 binary64) x) (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))))
	52.8%	(/.f64 (/.f64 #s(literal 2/3 binary64) x) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (.f64 x x) #s(literal 2/3 binary64)) x))))
✓	97.9%	(/.f64 (/.f64 #s(literal 2/3 binary64) x) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))))
	9.0%	(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))))
	31.6%	(/.f64 (+.f64 (/.f64 (.f64 #s(literal 2/3 binary64) (.f64 x 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)))) (/.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))))) (.f64 x (.f64 x x)))
	22.5%	(/.f64 (+.f64 (+.f64 (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 5/81 binary64))) (*.f64 x x))
	22.8%	(/.f64 (+.f64 (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (+.f64 (+.f64 (.f64 #s(literal -10/243 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 5/81 binary64))) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))))) (.f64 x x))
	97.9%	(/.f64 (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))))
	92.3%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (cbrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) (pow.f64 x #s(literal -1/3 binary64))) (/.f64 #s(literal 2/3 binary64) x)))
	48.8%	(/.f64 #s(literal 2/3 binary64) (+.f64 (cbrt.f64 (.f64 x (+.f64 #s(literal 2 binary64) x))) (cbrt.f64 (.f64 x x))))
	88.5%	(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))
	4.7%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))
	8.0%	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64)))
	8.1%	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/3 binary64))))
✓	7.2%	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
	88.5%	(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))
	88.5%	(*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)))
	96.3%	(*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))
	88.5%	(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))))
	47.9%	(.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 (.f64 x x) #s(literal 1 binary64)))))
	96.2%	(.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1 binary64) (.f64 (-.f64 #s(literal 0 binary64) (cbrt.f64 x)) (cbrt.f64 x))))
	96.2%	(.f64 #s(literal 1/3 binary64) (.f64 (/.f64 #s(literal -1 binary64) (cbrt.f64 x)) (/.f64 #s(literal -1 binary64) (cbrt.f64 x))))
✓	88.9%	(.f64 #s(literal 1/3 binary64) (exp.f64 (.f64 (log.f64 x) #s(literal -2/3 binary64))))
	48.6%	(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (sqrt.f64 x) #s(literal -4 binary64))))
	48.6%	(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
✓	47.8%	(.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))
	9.0%	(exp.f64 (neg.f64 (log.f64 (/.f64 (+.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 x #s(literal 1 binary64)) x)))))
✓	5.2%	(cbrt.f64 x)

Compiler

Compiled 2467 to 887 computations (64% saved)

regimes55.0ms (0.5%)

Counts

90 → 1

Calls

Call 1

Inputs
(cbrt.f64 x)
(pow.f64 x #s(literal 1/3 binary64))
(+.f64 (cbrt.f64 x) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (cbrt.f64 x))
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))
(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))))
(*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)))
(.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
(.f64 #s(literal 1/3 binary64) (cbrt.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))))
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(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 4/3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) (cbrt.f64 (.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) x))) (+.f64 x (cbrt.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) x)))))) (neg.f64 (/.f64 (pow.f64 x #s(literal 4/3 binary64)) (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) (cbrt.f64 (.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) x))) (+.f64 x (cbrt.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) 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)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (.f64 x (+.f64 x #s(literal 1 binary64))))))) #s(literal 2 binary64)) (pow.f64 (/.f64 x (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (.f64 x (+.f64 x #s(literal 1 binary64))))))) #s(literal 2 binary64))) (+.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (.f64 x (+.f64 x #s(literal 1 binary64))))))) (/.f64 x (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))))))))

Outputs

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

Calls

2 calls:

26.0ms	x
21.0ms	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))

Results

Accuracy	Segments	Branch
97.9%	1	`x`
97.9%	1	`(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes20.0ms (0.2%)

Counts

34 → 1

Calls

Call 1

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

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

Calls

2 calls:

10.0ms	x
8.0ms	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))

Results

Accuracy	Segments	Branch
97.9%	1	`(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))`
97.9%	1	`x`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes36.0ms (0.3%)

Counts

31 → 1

Calls

Call 1

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

Outputs
(/.f64 (/.f64 #s(literal 2/3 binary64) 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))))

Calls

2 calls:

27.0ms	x
7.0ms	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))

Results

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

Compiler

Compiled 10 to 7 computations (30% saved)

regimes21.0ms (0.2%)

Counts

30 → 1

Calls

Call 1

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

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

Calls

2 calls:

10.0ms	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
9.0ms	x

Results

Accuracy	Segments	Branch
96.8%	1	`(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))`
96.8%	1	`x`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes16.0ms (0.1%)

Counts

24 → 1

Calls

Call 1

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

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

Calls

2 calls:

7.0ms	x
7.0ms	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))

Results

Accuracy	Segments	Branch
96.3%	1	`(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))`
96.3%	1	`x`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes6.0ms (0%)

Counts

14 → 2

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
91.7%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0%)

Counts

12 → 2

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
91.7%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Counts

9 → 2

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
91.6%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes6.0ms (0.1%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
88.5%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts

6 → 1

Calls

Call 1

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

3.0ms

Results

Accuracy	Segments	Branch
88.5%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Accuracy

Total -2.2b remaining (-3.6%)

Threshold costs -2.2b (-3.6%)

Counts

4 → 1

Calls

Call 1

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

Outputs
(cbrt.f64 x)

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
5.2%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch16.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	6.3363912014355676e+153	6.676918997759138e+154

Results

10.0ms

96×

valid

Compiler

Compiled 126 to 99 computations (21.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-cbrt: 2.0ms (35% of total)

ival-add: 1.0ms (17.5% of total)

ival-sub: 1.0ms (17.5% of total)

backward-pass: 1.0ms (17.5% of total)

const: 0.0ms (0% of total)

bsearch20.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	6.676918997759138e+154	1.1235433797426033e+157

Results

12.0ms

112×

valid

Compiler

Compiled 131 to 107 computations (18.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-cbrt: 3.0ms (43.5% of total)

ival-add: 1.0ms (14.5% of total)

ival-sub: 1.0ms (14.5% of total)

backward-pass: 1.0ms (14.5% of total)

const: 0.0ms (0% of total)

bsearch15.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	6.3363912014355676e+153	6.676918997759138e+154

Results

10.0ms

96×

valid

Compiler

Compiled 114 to 93 computations (18.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-cbrt: 2.0ms (34% of total)

ival-add: 1.0ms (17% of total)

ival-sub: 1.0ms (17% of total)

backward-pass: 1.0ms (17% of total)

const: 0.0ms (0% of total)

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

14×	`*-commutative_binary64`
6×	`+-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`
2×	`/-rgt-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	143
1	63	143

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))))
(/.f64 (/.f64 #s(literal 2/3 binary64) x) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))))
(/.f64 (/.f64 #s(literal 2/3 binary64) 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))))
(/.f64 (/.f64 #s(literal 2/3 binary64) x) (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))
(if (<=.f64 x #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 (.f64 x x) #s(literal 1 binary64))))) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64))))
(if (<=.f64 x #s(literal 280000000000000016299575622085915078854717669454128422078867826210724772287689860409859415296707221056659416550393643758568013092320584948304749930162946048 binary64)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x))) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64))))
(if (<=.f64 x #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)))) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64))))
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))))
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 x)

Outputs
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))))
(/.f64 (/.f64 #s(literal 2/3 binary64) x) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))))
(/.f64 (/.f64 #s(literal 2/3 binary64) 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))))
(/.f64 (/.f64 #s(literal 2/3 binary64) x) (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))
(if (<=.f64 x #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 (.f64 x x) #s(literal 1 binary64))))) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64))))
(if (<=.f64 x #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (cbrt.f64 (.f64 x x)))) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64))))
(if (<=.f64 x #s(literal 280000000000000016299575622085915078854717669454128422078867826210724772287689860409859415296707221056659416550393643758568013092320584948304749930162946048 binary64)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x))) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64))))
(if (<=.f64 x #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)))) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64))))
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))))
(*.f64 (pow.f64 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)))
(cbrt.f64 x)

soundness2.3s (20.6%)

Rules

5932×	`-lowering-.f32`
5932×	`-lowering-.f64`
4720×	`+-lowering-+.f64`
4720×	`+-lowering-+.f32`
4496×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	175
1	249	154
2	2223	152
0	8948	149
0	6	16
1	39	16
2	288	16
3	3370	16
0	8832	16
0	700	5397
1	2149	5118
0	8250	5118
0	845	6655
1	2768	6271
0	8103	6239
0	33	128
1	225	114
2	1708	112
0	9458	109
0	146	551
1	378	518
2	1079	511
3	3255	508
0	8048	508
0	40	175
1	255	159
2	2975	156
0	9205	153

Stop Event

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

Compiler

Compiled 462 to 280 computations (39.4% saved)

preprocess117.0ms (1%)

Compiler: Compiled 356 to 130 computations (63.5% 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%)

sample2.0s (17.4%)

preprocess39.0ms (0.3%)

explain116.0ms (1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify24.0ms (0.2%)

localize54.0ms (0.5%)

series18.0ms (0.2%)

rewrite233.0ms (2.1%)

simplify181.0ms (1.6%)

eval41.0ms (0.4%)

prune77.0ms (0.7%)

simplify139.0ms (1.2%)

localize806.0ms (7.2%)

series46.0ms (0.4%)

rewrite282.0ms (2.5%)

simplify347.0ms (3.1%)

eval313.0ms (2.8%)

prune239.0ms (2.1%)

simplify137.0ms (1.2%)

localize468.0ms (4.2%)

series125.0ms (1.1%)

rewrite690.0ms (6.1%)

simplify428.0ms (3.8%)

eval353.0ms (3.1%)

prune205.0ms (1.8%)

simplify136.0ms (1.2%)

localize271.0ms (2.4%)

series35.0ms (0.3%)

rewrite230.0ms (2%)

simplify282.0ms (2.5%)

eval150.0ms (1.3%)

prune161.0ms (1.4%)

regimes55.0ms (0.5%)

regimes20.0ms (0.2%)

regimes36.0ms (0.3%)

regimes21.0ms (0.2%)

regimes16.0ms (0.1%)

regimes6.0ms (0%)

regimes5.0ms (0%)

regimes4.0ms (0%)

regimes6.0ms (0.1%)

regimes3.0ms (0%)

regimes2.0ms (0%)

bsearch16.0ms (0.1%)

bsearch20.0ms (0.2%)

bsearch15.0ms (0.1%)

simplify11.0ms (0.1%)

soundness2.3s (20.6%)

preprocess117.0ms (1%)

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