Details

analyze215.0ms (9.9%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
0%	0%	99.9%	0.1%	0%	0%	0%	6
12.5%	12.5%	87.4%	0.1%	0%	0%	0%	7
18.8%	18.7%	81.1%	0.1%	0%	0%	0%	8
26.2%	25%	70.2%	0.1%	4.7%	0%	0%	9
39.7%	37.4%	56.9%	0.1%	5.5%	0%	0%	10
47.1%	44.5%	49.9%	0.1%	5.5%	0%	0%	11
54.9%	50.3%	41.3%	0.1%	8.2%	0%	0%	12

Compiler

Compiled 11 to 8 computations (27.3% saved)

sample872.0ms (40.2%)

Results

807.0ms	8256×	body	256	valid
54.0ms	442×	body	256	infinite

Bogosity

preprocess50.0ms (2.3%)

Algorithm

2×	egg-herbie

Rules

447×	`fma-def_binary64`
313×	`fma-neg_binary64`
108×	`distribute-rgt-neg-in_binary64`
90×	`cancel-sign-sub-inv_binary64`
84×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	40
1	40	40
2	75	40
3	110	40
4	197	40
5	336	40
6	684	40
7	1441	40
8	1652	40
9	1706	40
10	1709	40
11	1709	40
12	1709	40
0	3	3

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

Inputs
(-.f64 (.f64 (.f64 x 3) y) z)
(-.f64 (.f64 (.f64 y 3) x) z)
(-.f64 (.f64 (.f64 z 3) y) x)
(-.f64 (.f64 (.f64 x 3) z) y)

Outputs
(-.f64 (.f64 (.f64 x 3) y) z)
(-.f64 (.f64 x (.f64 3 y)) z)
(fma.f64 (*.f64 x 3) y (neg.f64 z))
(fma.f64 3 (*.f64 x y) (neg.f64 z))
(-.f64 (.f64 (.f64 y 3) x) z)
(-.f64 (.f64 x (.f64 3 y)) z)
(fma.f64 (*.f64 x 3) y (neg.f64 z))
(fma.f64 3 (*.f64 x y) (neg.f64 z))
(-.f64 (.f64 (.f64 x 3) y) z)
(-.f64 (.f64 (.f64 z 3) y) x)
(fma.f64 (*.f64 3 z) y (neg.f64 x))
(-.f64 (.f64 (.f64 y z) 3) x)
(fma.f64 3 (*.f64 y z) (neg.f64 x))
(-.f64 (.f64 y (.f64 3 z)) x)
(-.f64 (.f64 z (.f64 3 y)) x)
(-.f64 (.f64 (.f64 x 3) z) y)
(-.f64 (.f64 3 (.f64 x z)) y)
(fma.f64 3 (*.f64 x z) (neg.f64 y))

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify20.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

192×	`fma-def_binary64`
125×	`fma-neg_binary64`
44×	`distribute-rgt-neg-in_binary64`
37×	`cancel-sign-sub-inv_binary64`
27×	`unsub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	15	10
2	29	10
3	42	10
4	76	10
5	133	10
6	246	10
7	422	10
8	579	10
9	698	10
10	748	10
11	750	10

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

Inputs
(-.f64 (.f64 (.f64 x 3) y) z)

Outputs
(-.f64 (.f64 (.f64 x 3) y) z)
(-.f64 (.f64 x (.f64 3 y)) z)

eval1.0ms (0%)

Compiler: Compiled 17 to 11 computations (35.3% saved)

prune8.0ms (0.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

0.0b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(-.f64 (.f64 (.f64 x 3) y) z)
▶	0.1b	(-.f64 (.f64 x (.f64 3 y)) z)

Compiler

Compiled 20 to 14 computations (30% saved)

localize8.0ms (0.4%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 x (.f64 3 y))

Compiler

Compiled 22 to 13 computations (40.9% saved)

series4.0ms (0.2%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	(.f64 x (.f64 3 y))
1.0ms	x	@	inf	(.f64 x (.f64 3 y))
1.0ms	x	@	0	(.f64 x (.f64 3 y))
1.0ms	y	@	inf	(.f64 x (.f64 3 y))
0.0ms	y	@	-inf	(.f64 x (.f64 3 y))

rewrite35.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

555×	`pow1_binary64`
511×	`add-log-exp_binary64`
511×	`log1p-expm1-u_binary64`
511×	`expm1-log1p-u_binary64`
501×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	121	7
2	1393	7

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(.f64 x (.f64 3 y))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (.f64 x (.f64 3 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (.f64 3 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (.f64 3 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x (.f64 3 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 x (.f64 3 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 x (.f64 3 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 x (.f64 3 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x (.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x (.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x (*.f64 3 y))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (*.f64 3 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 3 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (*.f64 3 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (*.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 3 y))))))))

simplify45.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

600×	`distribute-rgt-in_binary64`
597×	`log-prod_binary64`
587×	`distribute-lft-in_binary64`
457×	`associate-l_binary64`
434×	`exp-sum_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	245
1	82	245
2	337	245
3	2451	245
4	7171	245

Stop Event

1×	node limit

Counts

35 → 12

Calls

Call 1

Inputs
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(-.f64 (+.f64 1 (.f64 x (.f64 3 y))) 1)
(pow.f64 (.f64 x (.f64 3 y)) 1)
(pow.f64 (pow.f64 (.f64 x (.f64 3 y)) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 x (.f64 3 y))) 3)
(pow.f64 (sqrt.f64 (.f64 x (.f64 3 y))) 2)
(sqrt.f64 (pow.f64 (.f64 x (.f64 3 y)) 2))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 3 y)))
(cbrt.f64 (pow.f64 (.f64 x (.f64 3 y)) 3))
(expm1.f64 (log1p.f64 (.f64 x (.f64 3 y))))
(log1p.f64 (expm1.f64 (.f64 x (.f64 3 y))))
(exp.f64 (log.f64 (.f64 x (.f64 3 y))))

Outputs
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(-.f64 (+.f64 1 (.f64 x (.f64 3 y))) 1)
(.f64 3 (.f64 y x))
(pow.f64 (.f64 x (.f64 3 y)) 1)
(.f64 3 (.f64 y x))
(pow.f64 (pow.f64 (.f64 x (.f64 3 y)) 3) 1/3)
(.f64 3 (.f64 y x))
(pow.f64 (cbrt.f64 (.f64 x (.f64 3 y))) 3)
(.f64 3 (.f64 y x))
(pow.f64 (sqrt.f64 (.f64 x (.f64 3 y))) 2)
(.f64 3 (.f64 y x))
(sqrt.f64 (pow.f64 (.f64 x (.f64 3 y)) 2))
(.f64 3 (.f64 y x))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 3 y)))
(.f64 3 (.f64 y x))
(cbrt.f64 (pow.f64 (.f64 x (.f64 3 y)) 3))
(.f64 3 (.f64 y x))
(expm1.f64 (log1p.f64 (.f64 x (.f64 3 y))))
(.f64 3 (.f64 y x))
(log1p.f64 (expm1.f64 (.f64 x (.f64 3 y))))
(.f64 3 (.f64 y x))
(exp.f64 (log.f64 (.f64 x (.f64 3 y))))
(.f64 3 (.f64 y x))

localize8.0ms (0.4%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (.f64 x 3) y)

Compiler

Compiled 22 to 13 computations (40.9% saved)

series1.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(.f64 (.f64 x 3) y)
0.0ms	x	@	inf	(.f64 (.f64 x 3) y)
0.0ms	x	@	-inf	(.f64 (.f64 x 3) y)
0.0ms	y	@	inf	(.f64 (.f64 x 3) y)
0.0ms	y	@	0	(.f64 (.f64 x 3) y)

rewrite40.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

554×	`pow1_binary64`
510×	`add-log-exp_binary64`
510×	`log1p-expm1-u_binary64`
510×	`expm1-log1p-u_binary64`
500×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	121	7
2	1391	7

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(.f64 (.f64 x 3) y)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (.f64 x (.f64 3 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (.f64 3 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (.f64 3 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x (.f64 3 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 x (.f64 3 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 x (.f64 3 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 x (.f64 3 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x (.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x (.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x (*.f64 3 y))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (*.f64 3 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 3 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (*.f64 3 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 3 y))))))))

simplify43.0ms (2%)

Algorithm

1×	egg-herbie

Rules

600×	`distribute-rgt-in_binary64`
597×	`log-prod_binary64`
587×	`distribute-lft-in_binary64`
448×	`associate-l_binary64`
434×	`exp-sum_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	245
1	83	245
2	335	245
3	2499	245
4	7221	245

Stop Event

1×	node limit

Counts

35 → 13

Calls

Call 1

Inputs
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(-.f64 (+.f64 1 (.f64 x (.f64 3 y))) 1)
(pow.f64 (.f64 x (.f64 3 y)) 1)
(pow.f64 (pow.f64 (.f64 x (.f64 3 y)) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 x (.f64 3 y))) 3)
(pow.f64 (sqrt.f64 (.f64 x (.f64 3 y))) 2)
(sqrt.f64 (pow.f64 (.f64 x (.f64 3 y)) 2))
(log.f64 (pow.f64 (exp.f64 y) (*.f64 x 3)))
(cbrt.f64 (pow.f64 (.f64 x (.f64 3 y)) 3))
(expm1.f64 (log1p.f64 (.f64 x (.f64 3 y))))
(log1p.f64 (expm1.f64 (.f64 x (.f64 3 y))))
(exp.f64 (log.f64 (.f64 x (.f64 3 y))))

Outputs
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(-.f64 (+.f64 1 (.f64 x (.f64 3 y))) 1)
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(pow.f64 (.f64 x (.f64 3 y)) 1)
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(pow.f64 (pow.f64 (.f64 x (.f64 3 y)) 3) 1/3)
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(pow.f64 (cbrt.f64 (.f64 x (.f64 3 y))) 3)
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(pow.f64 (sqrt.f64 (.f64 x (.f64 3 y))) 2)
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(sqrt.f64 (pow.f64 (.f64 x (.f64 3 y)) 2))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(log.f64 (pow.f64 (exp.f64 y) (*.f64 x 3)))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(cbrt.f64 (pow.f64 (.f64 x (.f64 3 y)) 3))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(expm1.f64 (log1p.f64 (.f64 x (.f64 3 y))))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(log1p.f64 (expm1.f64 (.f64 x (.f64 3 y))))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(exp.f64 (log.f64 (.f64 x (.f64 3 y))))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))

eval5.0ms (0.2%)

Compiler: Compiled 238 to 162 computations (31.9% saved)

prune4.0ms (0.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	23	2	25
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	23	4	27

Error

0.0b

Counts

27 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.5b	(-.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 3 y))) 3) z)
✓	0.1b	(-.f64 (.f64 (.f64 x 3) y) z)
✓	0.1b	(-.f64 (.f64 x (.f64 3 y)) z)
▶	0.1b	(-.f64 (.f64 3 (.f64 y x)) z)

Compiler

Compiled 43 to 31 computations (27.9% saved)

localize8.0ms (0.4%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 3 (.f64 y x))

Compiler

Compiled 22 to 10 computations (54.5% saved)

series1.0ms (0.1%)

Counts

1 → 0

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(.f64 3 (.f64 y x))
0.0ms	y	@	-inf	(.f64 3 (.f64 y x))
0.0ms	y	@	inf	(.f64 3 (.f64 y x))
0.0ms	x	@	-inf	(.f64 3 (.f64 y x))
0.0ms	x	@	inf	(.f64 3 (.f64 y x))

rewrite36.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

555×	`pow1_binary64`
511×	`add-log-exp_binary64`
511×	`log1p-expm1-u_binary64`
511×	`expm1-log1p-u_binary64`
501×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	121	7
2	1393	7

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(.f64 3 (.f64 y x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 3 (*.f64 y x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3 (*.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 3 (*.f64 y x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 3 (*.f64 y x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 3 (*.f64 y x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (*.f64 y x) 2) 9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 3) (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 3 (*.f64 y x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 3 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 3 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 3 (*.f64 y x))))))))

simplify39.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1017×	`log-prod_binary64`
460×	`distribute-rgt-in_binary64`
447×	`distribute-lft-in_binary64`
431×	`*-commutative_binary64`
375×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	143
1	84	110
2	320	77
3	2219	77
4	6540	77

Stop Event

1×	node limit

Counts

11 → 14

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (.f64 3 (.f64 y x))) 1)
(pow.f64 (.f64 3 (.f64 y x)) 1)
(pow.f64 (pow.f64 (.f64 3 (.f64 y x)) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 3 (.f64 y x))) 3)
(pow.f64 (sqrt.f64 (.f64 3 (.f64 y x))) 2)
(sqrt.f64 (.f64 (pow.f64 (.f64 y x) 2) 9))
(log.f64 (pow.f64 (exp.f64 3) (*.f64 y x)))
(cbrt.f64 (pow.f64 (.f64 3 (.f64 y x)) 3))
(expm1.f64 (log1p.f64 (.f64 3 (.f64 y x))))
(log1p.f64 (expm1.f64 (.f64 3 (.f64 y x))))
(exp.f64 (log.f64 (.f64 3 (.f64 y x))))

Outputs
(-.f64 (+.f64 1 (.f64 3 (.f64 y x))) 1)
(+.f64 1 (-.f64 (.f64 3 (.f64 y x)) 1))
(+.f64 (.f64 3 (.f64 y x)) 0)
(.f64 3 (.f64 y x))
(pow.f64 (.f64 3 (.f64 y x)) 1)
(+.f64 1 (-.f64 (.f64 3 (.f64 y x)) 1))
(+.f64 (.f64 3 (.f64 y x)) 0)
(.f64 3 (.f64 y x))
(pow.f64 (pow.f64 (.f64 3 (.f64 y x)) 3) 1/3)
(+.f64 1 (-.f64 (.f64 3 (.f64 y x)) 1))
(+.f64 (.f64 3 (.f64 y x)) 0)
(.f64 3 (.f64 y x))
(pow.f64 (cbrt.f64 (.f64 3 (.f64 y x))) 3)
(+.f64 1 (-.f64 (.f64 3 (.f64 y x)) 1))
(+.f64 (.f64 3 (.f64 y x)) 0)
(.f64 3 (.f64 y x))
(pow.f64 (sqrt.f64 (.f64 3 (.f64 y x))) 2)
(+.f64 1 (-.f64 (.f64 3 (.f64 y x)) 1))
(+.f64 (.f64 3 (.f64 y x)) 0)
(.f64 3 (.f64 y x))
(sqrt.f64 (.f64 (pow.f64 (.f64 y x) 2) 9))
(+.f64 1 (-.f64 (.f64 3 (.f64 y x)) 1))
(+.f64 (.f64 3 (.f64 y x)) 0)
(.f64 3 (.f64 y x))
(log.f64 (pow.f64 (exp.f64 3) (*.f64 y x)))
(+.f64 1 (-.f64 (.f64 3 (.f64 y x)) 1))
(+.f64 (.f64 3 (.f64 y x)) 0)
(.f64 3 (.f64 y x))
(cbrt.f64 (pow.f64 (.f64 3 (.f64 y x)) 3))
(+.f64 1 (-.f64 (.f64 3 (.f64 y x)) 1))
(+.f64 (.f64 3 (.f64 y x)) 0)
(.f64 3 (.f64 y x))
(expm1.f64 (log1p.f64 (.f64 3 (.f64 y x))))
(+.f64 1 (-.f64 (.f64 3 (.f64 y x)) 1))
(+.f64 (.f64 3 (.f64 y x)) 0)
(.f64 3 (.f64 y x))
(log1p.f64 (expm1.f64 (.f64 3 (.f64 y x))))
(+.f64 1 (-.f64 (.f64 3 (.f64 y x)) 1))
(+.f64 (.f64 3 (.f64 y x)) 0)
(.f64 3 (.f64 y x))
(exp.f64 (log.f64 (.f64 3 (.f64 y x))))
(+.f64 1 (-.f64 (.f64 3 (.f64 y x)) 1))
(+.f64 (.f64 3 (.f64 y x)) 0)
(.f64 3 (.f64 y x))

localize16.0ms (0.8%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.2b	(.f64 x (.f64 3 y))
✓	0.6b	(pow.f64 (cbrt.f64 (.f64 x (.f64 3 y))) 3)
✓	8.4b	(cbrt.f64 (.f64 x (.f64 3 y)))

Compiler

Compiled 39 to 26 computations (33.3% saved)

series12.0ms (0.6%)

Counts

2 → 0

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(cbrt.f64 (.f64 x (.f64 3 y)))
2.0ms	x	@	0	(pow.f64 (cbrt.f64 (.f64 x (.f64 3 y))) 3)
1.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (.f64 x (.f64 3 y))) 3)
1.0ms	x	@	-inf	(cbrt.f64 (.f64 x (.f64 3 y)))
1.0ms	y	@	-inf	(pow.f64 (cbrt.f64 (.f64 x (.f64 3 y))) 3)

rewrite47.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

661×	`pow1_binary64`
618×	`add-log-exp_binary64`
618×	`log1p-expm1-u_binary64`
618×	`expm1-log1p-u_binary64`
603×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	16
1	169	16
2	1740	16

Stop Event

1×	node limit

Counts

2 → 63

Calls

Call 1

Inputs
(cbrt.f64 (.f64 x (.f64 3 y)))
(pow.f64 (cbrt.f64 (.f64 x (.f64 3 y))) 3)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (*.f64 x (*.f64 3 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 x (*.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 3 y)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 3 y)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 3 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 3 y)))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 3 y)))) 2) (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 1/6) (pow.f64 (*.f64 x (*.f64 3 y)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x 3)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 x (*.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 x (*.f64 3 y))) 1/3) (pow.f64 (sqrt.f64 (*.f64 x (*.f64 3 y))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x 3) 1/3) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 3 y)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 3 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 x (*.f64 3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 x (*.f64 3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 x (*.f64 3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 x (*.f64 3 y)))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (*.f64 3 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 3 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (*.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 3 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 3 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (*.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))) 2) (cbrt.f64 (*.f64 x (*.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 3 y)) 2) (*.f64 (cbrt.f64 (*.f64 3 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (*.f64 3 y)) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 3 y)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 3 y)))) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 3 y)) (*.f64 (sqrt.f64 (*.f64 3 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (*.f64 3 y))) (sqrt.f64 (*.f64 x (*.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 1/6) (*.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 1/6) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 3) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 3 y)))) 2) 3) (cbrt.f64 (*.f64 x (*.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 1/6) 3) (pow.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x y) 3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (pow.f64 (cbrt.f64 (*.f64 3 y)) 2)) (cbrt.f64 (*.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 (*.f64 3 y))) (sqrt.f64 (*.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 3 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 3 y) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))) 2) 1) (cbrt.f64 (*.f64 x (*.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))) 2) (cbrt.f64 x)) (cbrt.f64 (*.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 3 y)))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))) 2) (pow.f64 (*.f64 x (*.f64 3 y)) 1/6)) (pow.f64 (*.f64 x (*.f64 3 y)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x 3) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x 3) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x 3) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 3) y) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 3 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 3 y) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 3 y))))))))

simplify84.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

667×	`log-prod_binary64`
651×	`unswap-sqr_binary64`
646×	`fma-def_binary64`
583×	`cube-prod_binary64`
551×	`fabs-mul_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	133	882
1	307	714
2	965	546
3	3796	537

Stop Event

1×	node limit

Counts

63 → 73

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (cbrt.f64 (.f64 x (.f64 3 y)))) 1)
(.f64 (cbrt.f64 (.f64 x (*.f64 3 y))) 1)
(.f64 1 (cbrt.f64 (.f64 x (*.f64 3 y))))
(.f64 (cbrt.f64 (.f64 3 y)) (cbrt.f64 x))
(.f64 (cbrt.f64 x) (cbrt.f64 (.f64 3 y)))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x (.f64 3 y)))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (*.f64 3 y)))) 2))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x (.f64 3 y)))) (pow.f64 (pow.f64 (cbrt.f64 (.f64 x (*.f64 3 y))) 2) 1/3))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (.f64 3 y)))) 2) (cbrt.f64 (cbrt.f64 (.f64 x (*.f64 3 y)))))
(.f64 (pow.f64 (.f64 x (.f64 3 y)) 1/6) (pow.f64 (.f64 x (*.f64 3 y)) 1/6))
(.f64 (cbrt.f64 (.f64 x 3)) (cbrt.f64 y))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 3 y))) 2) 1/3) (cbrt.f64 (cbrt.f64 (.f64 x (*.f64 3 y)))))
(.f64 (pow.f64 1 1/3) (cbrt.f64 (.f64 x (*.f64 3 y))))
(.f64 (pow.f64 (sqrt.f64 (.f64 x (.f64 3 y))) 1/3) (pow.f64 (sqrt.f64 (.f64 x (*.f64 3 y))) 1/3))
(.f64 (pow.f64 (.f64 x 3) 1/3) (cbrt.f64 y))
(pow.f64 (.f64 x (.f64 3 y)) 1/3)
(pow.f64 (cbrt.f64 (.f64 x (.f64 3 y))) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (.f64 3 y)))) 3)
(pow.f64 (pow.f64 (.f64 x (.f64 3 y)) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 3 y))) 2))
(log.f64 (exp.f64 (cbrt.f64 (.f64 x (.f64 3 y)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (.f64 x (.f64 3 y)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (.f64 x (.f64 3 y)))))
(exp.f64 (log.f64 (cbrt.f64 (.f64 x (.f64 3 y)))))
(-.f64 (+.f64 1 (.f64 x (.f64 3 y))) 1)
(.f64 x (.f64 3 y))
(.f64 3 (.f64 y x))
(.f64 y (.f64 x 3))
(.f64 (.f64 3 y) x)
(.f64 (.f64 x (*.f64 3 y)) 1)
(.f64 (cbrt.f64 (.f64 x (.f64 3 y))) (pow.f64 (cbrt.f64 (.f64 x (*.f64 3 y))) 2))
(.f64 1 (.f64 x (*.f64 3 y)))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 3 y))) 2) (cbrt.f64 (.f64 x (*.f64 3 y))))
(.f64 (pow.f64 (cbrt.f64 (.f64 3 y)) 2) (.f64 (cbrt.f64 (.f64 3 y)) x))
(.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (.f64 3 y)) (pow.f64 (cbrt.f64 (.f64 x (*.f64 3 y))) 2)))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (*.f64 3 y)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (.f64 3 y)))) 2) (.f64 (cbrt.f64 (cbrt.f64 (.f64 x (.f64 3 y)))) (pow.f64 (cbrt.f64 (.f64 x (.f64 3 y))) 2)))
(.f64 (sqrt.f64 (.f64 3 y)) (.f64 (sqrt.f64 (.f64 3 y)) x))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (*.f64 3 y)))
(.f64 (sqrt.f64 (.f64 x (.f64 3 y))) (sqrt.f64 (.f64 x (*.f64 3 y))))
(.f64 (pow.f64 (.f64 x (.f64 3 y)) 1/6) (.f64 (pow.f64 (.f64 x (.f64 3 y)) 1/6) (pow.f64 (cbrt.f64 (.f64 x (.f64 3 y))) 2)))
(.f64 (.f64 x 3) y)
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (.f64 3 y)))) 2) 3) (cbrt.f64 (.f64 x (*.f64 3 y))))
(.f64 (pow.f64 (pow.f64 (.f64 x (.f64 3 y)) 1/6) 3) (pow.f64 (pow.f64 (.f64 x (*.f64 3 y)) 1/6) 3))
(.f64 (.f64 x y) 3)
(.f64 (.f64 x (pow.f64 (cbrt.f64 (.f64 3 y)) 2)) (cbrt.f64 (.f64 3 y)))
(.f64 (.f64 x (sqrt.f64 (.f64 3 y))) (sqrt.f64 (.f64 3 y)))
(.f64 (.f64 (*.f64 3 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(.f64 (.f64 (*.f64 3 y) (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 3 y))) 2) 1) (cbrt.f64 (.f64 x (.f64 3 y))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 3 y))) 2) (cbrt.f64 x)) (cbrt.f64 (*.f64 3 y)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 3 y))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (.f64 3 y)))) 2)) (cbrt.f64 (cbrt.f64 (.f64 x (.f64 3 y)))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 3 y))) 2) (pow.f64 (.f64 x (.f64 3 y)) 1/6)) (pow.f64 (.f64 x (.f64 3 y)) 1/6))
(.f64 (.f64 (*.f64 x 3) 1) y)
(.f64 (.f64 (*.f64 x 3) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(.f64 (.f64 (*.f64 x 3) (sqrt.f64 y)) (sqrt.f64 y))
(sqrt.f64 (pow.f64 (.f64 x (.f64 3 y)) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 3) y) x))
(cbrt.f64 (pow.f64 (.f64 x (.f64 3 y)) 3))
(cbrt.f64 (.f64 (pow.f64 x 3) (pow.f64 (.f64 3 y) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 3 y) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (.f64 x (.f64 3 y))))
(log1p.f64 (expm1.f64 (.f64 x (.f64 3 y))))
(exp.f64 (log.f64 (.f64 x (.f64 3 y))))

Outputs
(-.f64 (+.f64 1 (cbrt.f64 (.f64 x (.f64 3 y)))) 1)
(+.f64 1 (-.f64 (cbrt.f64 (.f64 x (.f64 3 y))) 1))
(+.f64 (cbrt.f64 (.f64 x (.f64 3 y))) 0)
(cbrt.f64 (.f64 x (.f64 3 y)))
(.f64 (cbrt.f64 (.f64 x (*.f64 3 y))) 1)
(+.f64 1 (-.f64 (cbrt.f64 (.f64 x (.f64 3 y))) 1))
(+.f64 (cbrt.f64 (.f64 x (.f64 3 y))) 0)
(cbrt.f64 (.f64 x (.f64 3 y)))
(.f64 1 (cbrt.f64 (.f64 x (*.f64 3 y))))
(+.f64 1 (-.f64 (cbrt.f64 (.f64 x (.f64 3 y))) 1))
(+.f64 (cbrt.f64 (.f64 x (.f64 3 y))) 0)
(cbrt.f64 (.f64 x (.f64 3 y)))
(.f64 (cbrt.f64 (.f64 3 y)) (cbrt.f64 x))
(.f64 (cbrt.f64 x) (cbrt.f64 (.f64 3 y)))
(.f64 (cbrt.f64 (.f64 3 y)) (cbrt.f64 x))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x (.f64 3 y)))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (*.f64 3 y)))) 2))
(+.f64 1 (-.f64 (cbrt.f64 (.f64 x (.f64 3 y))) 1))
(+.f64 (cbrt.f64 (.f64 x (.f64 3 y))) 0)
(cbrt.f64 (.f64 x (.f64 3 y)))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x (.f64 3 y)))) (pow.f64 (pow.f64 (cbrt.f64 (.f64 x (*.f64 3 y))) 2) 1/3))
(+.f64 1 (-.f64 (cbrt.f64 (.f64 x (.f64 3 y))) 1))
(+.f64 (cbrt.f64 (.f64 x (.f64 3 y))) 0)
(cbrt.f64 (.f64 x (.f64 3 y)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (.f64 3 y)))) 2) (cbrt.f64 (cbrt.f64 (.f64 x (*.f64 3 y)))))
(+.f64 1 (-.f64 (cbrt.f64 (.f64 x (.f64 3 y))) 1))
(+.f64 (cbrt.f64 (.f64 x (.f64 3 y))) 0)
(cbrt.f64 (.f64 x (.f64 3 y)))
(.f64 (pow.f64 (.f64 x (.f64 3 y)) 1/6) (pow.f64 (.f64 x (*.f64 3 y)) 1/6))
(+.f64 1 (-.f64 (cbrt.f64 (.f64 x (.f64 3 y))) 1))
(+.f64 (cbrt.f64 (.f64 x (.f64 3 y))) 0)
(cbrt.f64 (.f64 x (.f64 3 y)))
(.f64 (cbrt.f64 (.f64 x 3)) (cbrt.f64 y))
(.f64 (cbrt.f64 y) (cbrt.f64 (.f64 x 3)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 3 y))) 2) 1/3) (cbrt.f64 (cbrt.f64 (.f64 x (*.f64 3 y)))))
(+.f64 1 (-.f64 (cbrt.f64 (.f64 x (.f64 3 y))) 1))
(+.f64 (cbrt.f64 (.f64 x (.f64 3 y))) 0)
(cbrt.f64 (.f64 x (.f64 3 y)))
(.f64 (pow.f64 1 1/3) (cbrt.f64 (.f64 x (*.f64 3 y))))
(+.f64 1 (-.f64 (cbrt.f64 (.f64 x (.f64 3 y))) 1))
(+.f64 (cbrt.f64 (.f64 x (.f64 3 y))) 0)
(cbrt.f64 (.f64 x (.f64 3 y)))
(.f64 (pow.f64 (sqrt.f64 (.f64 x (.f64 3 y))) 1/3) (pow.f64 (sqrt.f64 (.f64 x (*.f64 3 y))) 1/3))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 x (.f64 3 y)))) (cbrt.f64 (sqrt.f64 (.f64 x (*.f64 3 y)))))
(pow.f64 (pow.f64 (sqrt.f64 (.f64 x (.f64 3 y))) 1/6) 4)
(.f64 (pow.f64 (.f64 x 3) 1/3) (cbrt.f64 y))
(.f64 (cbrt.f64 y) (cbrt.f64 (.f64 x 3)))
(pow.f64 (.f64 x (.f64 3 y)) 1/3)
(+.f64 1 (-.f64 (cbrt.f64 (.f64 x (.f64 3 y))) 1))
(+.f64 (cbrt.f64 (.f64 x (.f64 3 y))) 0)
(cbrt.f64 (.f64 x (.f64 3 y)))
(pow.f64 (cbrt.f64 (.f64 x (.f64 3 y))) 1)
(+.f64 1 (-.f64 (cbrt.f64 (.f64 x (.f64 3 y))) 1))
(+.f64 (cbrt.f64 (.f64 x (.f64 3 y))) 0)
(cbrt.f64 (.f64 x (.f64 3 y)))
(pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (.f64 3 y)))) 3)
(+.f64 1 (-.f64 (cbrt.f64 (.f64 x (.f64 3 y))) 1))
(+.f64 (cbrt.f64 (.f64 x (.f64 3 y))) 0)
(cbrt.f64 (.f64 x (.f64 3 y)))
(pow.f64 (pow.f64 (.f64 x (.f64 3 y)) 1/6) 2)
(+.f64 1 (-.f64 (cbrt.f64 (.f64 x (.f64 3 y))) 1))
(+.f64 (cbrt.f64 (.f64 x (.f64 3 y))) 0)
(cbrt.f64 (.f64 x (.f64 3 y)))
(sqrt.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 3 y))) 2))
(+.f64 1 (-.f64 (cbrt.f64 (.f64 x (.f64 3 y))) 1))
(+.f64 (cbrt.f64 (.f64 x (.f64 3 y))) 0)
(cbrt.f64 (.f64 x (.f64 3 y)))
(log.f64 (exp.f64 (cbrt.f64 (.f64 x (.f64 3 y)))))
(+.f64 1 (-.f64 (cbrt.f64 (.f64 x (.f64 3 y))) 1))
(+.f64 (cbrt.f64 (.f64 x (.f64 3 y))) 0)
(cbrt.f64 (.f64 x (.f64 3 y)))
(expm1.f64 (log1p.f64 (cbrt.f64 (.f64 x (.f64 3 y)))))
(+.f64 1 (-.f64 (cbrt.f64 (.f64 x (.f64 3 y))) 1))
(+.f64 (cbrt.f64 (.f64 x (.f64 3 y))) 0)
(cbrt.f64 (.f64 x (.f64 3 y)))
(log1p.f64 (expm1.f64 (cbrt.f64 (.f64 x (.f64 3 y)))))
(+.f64 1 (-.f64 (cbrt.f64 (.f64 x (.f64 3 y))) 1))
(+.f64 (cbrt.f64 (.f64 x (.f64 3 y))) 0)
(cbrt.f64 (.f64 x (.f64 3 y)))
(exp.f64 (log.f64 (cbrt.f64 (.f64 x (.f64 3 y)))))
(+.f64 1 (-.f64 (cbrt.f64 (.f64 x (.f64 3 y))) 1))
(+.f64 (cbrt.f64 (.f64 x (.f64 3 y))) 0)
(cbrt.f64 (.f64 x (.f64 3 y)))
(-.f64 (+.f64 1 (.f64 x (.f64 3 y))) 1)
(+.f64 1 (-.f64 (.f64 x (.f64 3 y)) 1))
(+.f64 (.f64 x (.f64 3 y)) 0)
(.f64 x (.f64 3 y))
(.f64 x (.f64 3 y))
(+.f64 1 (-.f64 (.f64 x (.f64 3 y)) 1))
(+.f64 (.f64 x (.f64 3 y)) 0)
(.f64 3 (.f64 y x))
(+.f64 1 (-.f64 (.f64 x (.f64 3 y)) 1))
(+.f64 (.f64 x (.f64 3 y)) 0)
(.f64 x (.f64 3 y))
(.f64 y (.f64 x 3))
(+.f64 1 (-.f64 (.f64 x (.f64 3 y)) 1))
(+.f64 (.f64 x (.f64 3 y)) 0)
(.f64 x (.f64 3 y))
(.f64 (.f64 3 y) x)
(+.f64 1 (-.f64 (.f64 x (.f64 3 y)) 1))
(+.f64 (.f64 x (.f64 3 y)) 0)
(.f64 x (.f64 3 y))
(.f64 (.f64 x (*.f64 3 y)) 1)
(+.f64 1 (-.f64 (.f64 x (.f64 3 y)) 1))
(+.f64 (.f64 x (.f64 3 y)) 0)
(.f64 x (.f64 3 y))
(.f64 (cbrt.f64 (.f64 x (.f64 3 y))) (pow.f64 (cbrt.f64 (.f64 x (*.f64 3 y))) 2))
(+.f64 1 (-.f64 (.f64 x (.f64 3 y)) 1))
(+.f64 (.f64 x (.f64 3 y)) 0)
(.f64 x (.f64 3 y))
(.f64 1 (.f64 x (*.f64 3 y)))
(+.f64 1 (-.f64 (.f64 x (.f64 3 y)) 1))
(+.f64 (.f64 x (.f64 3 y)) 0)
(.f64 x (.f64 3 y))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 3 y))) 2) (cbrt.f64 (.f64 x (*.f64 3 y))))
(+.f64 1 (-.f64 (.f64 x (.f64 3 y)) 1))
(+.f64 (.f64 x (.f64 3 y)) 0)
(.f64 x (.f64 3 y))
(.f64 (pow.f64 (cbrt.f64 (.f64 3 y)) 2) (.f64 (cbrt.f64 (.f64 3 y)) x))
(+.f64 1 (-.f64 (.f64 x (.f64 3 y)) 1))
(+.f64 (.f64 x (.f64 3 y)) 0)
(.f64 x (.f64 3 y))
(.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (.f64 3 y)) (pow.f64 (cbrt.f64 (.f64 x (*.f64 3 y))) 2)))
(.f64 (.f64 (cbrt.f64 (.f64 3 y)) (cbrt.f64 x)) (pow.f64 (cbrt.f64 (.f64 x (*.f64 3 y))) 2))
(.f64 (cbrt.f64 (.f64 3 y)) (.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (.f64 x (*.f64 3 y))) 2)))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (*.f64 3 y)))
(+.f64 1 (-.f64 (.f64 x (.f64 3 y)) 1))
(+.f64 (.f64 x (.f64 3 y)) 0)
(.f64 x (.f64 3 y))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (.f64 3 y)))) 2) (.f64 (cbrt.f64 (cbrt.f64 (.f64 x (.f64 3 y)))) (pow.f64 (cbrt.f64 (.f64 x (.f64 3 y))) 2)))
(+.f64 1 (-.f64 (.f64 x (.f64 3 y)) 1))
(+.f64 (.f64 x (.f64 3 y)) 0)
(.f64 x (.f64 3 y))
(.f64 (sqrt.f64 (.f64 3 y)) (.f64 (sqrt.f64 (.f64 3 y)) x))
(+.f64 1 (-.f64 (.f64 x (.f64 3 y)) 1))
(+.f64 (.f64 x (.f64 3 y)) 0)
(.f64 x (.f64 3 y))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (*.f64 3 y)))
(+.f64 1 (-.f64 (.f64 x (.f64 3 y)) 1))
(+.f64 (.f64 x (.f64 3 y)) 0)
(.f64 x (.f64 3 y))
(.f64 (sqrt.f64 (.f64 x (.f64 3 y))) (sqrt.f64 (.f64 x (*.f64 3 y))))
(+.f64 1 (-.f64 (.f64 x (.f64 3 y)) 1))
(+.f64 (.f64 x (.f64 3 y)) 0)
(.f64 x (.f64 3 y))
(.f64 (pow.f64 (.f64 x (.f64 3 y)) 1/6) (.f64 (pow.f64 (.f64 x (.f64 3 y)) 1/6) (pow.f64 (cbrt.f64 (.f64 x (.f64 3 y))) 2)))
(+.f64 1 (-.f64 (.f64 x (.f64 3 y)) 1))
(+.f64 (.f64 x (.f64 3 y)) 0)
(.f64 x (.f64 3 y))
(.f64 (.f64 x 3) y)
(+.f64 1 (-.f64 (.f64 x (.f64 3 y)) 1))
(+.f64 (.f64 x (.f64 3 y)) 0)
(.f64 x (.f64 3 y))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (.f64 3 y)))) 2) 3) (cbrt.f64 (.f64 x (*.f64 3 y))))
(+.f64 1 (-.f64 (.f64 x (.f64 3 y)) 1))
(+.f64 (.f64 x (.f64 3 y)) 0)
(.f64 x (.f64 3 y))
(.f64 (pow.f64 (pow.f64 (.f64 x (.f64 3 y)) 1/6) 3) (pow.f64 (pow.f64 (.f64 x (*.f64 3 y)) 1/6) 3))
(+.f64 1 (-.f64 (.f64 x (.f64 3 y)) 1))
(+.f64 (.f64 x (.f64 3 y)) 0)
(.f64 x (.f64 3 y))
(.f64 (.f64 x y) 3)
(+.f64 1 (-.f64 (.f64 x (.f64 3 y)) 1))
(+.f64 (.f64 x (.f64 3 y)) 0)
(.f64 x (.f64 3 y))
(.f64 (.f64 x (pow.f64 (cbrt.f64 (.f64 3 y)) 2)) (cbrt.f64 (.f64 3 y)))
(+.f64 1 (-.f64 (.f64 x (.f64 3 y)) 1))
(+.f64 (.f64 x (.f64 3 y)) 0)
(.f64 x (.f64 3 y))
(.f64 (.f64 x (sqrt.f64 (.f64 3 y))) (sqrt.f64 (.f64 3 y)))
(+.f64 1 (-.f64 (.f64 x (.f64 3 y)) 1))
(+.f64 (.f64 x (.f64 3 y)) 0)
(.f64 x (.f64 3 y))
(.f64 (.f64 (*.f64 3 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(+.f64 1 (-.f64 (.f64 x (.f64 3 y)) 1))
(+.f64 (.f64 x (.f64 3 y)) 0)
(.f64 x (.f64 3 y))
(.f64 (.f64 (*.f64 3 y) (sqrt.f64 x)) (sqrt.f64 x))
(+.f64 1 (-.f64 (.f64 x (.f64 3 y)) 1))
(+.f64 (.f64 x (.f64 3 y)) 0)
(.f64 x (.f64 3 y))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 3 y))) 2) 1) (cbrt.f64 (.f64 x (.f64 3 y))))
(+.f64 1 (-.f64 (.f64 x (.f64 3 y)) 1))
(+.f64 (.f64 x (.f64 3 y)) 0)
(.f64 x (.f64 3 y))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 3 y))) 2) (cbrt.f64 x)) (cbrt.f64 (*.f64 3 y)))
(.f64 (.f64 (cbrt.f64 (.f64 3 y)) (cbrt.f64 x)) (pow.f64 (cbrt.f64 (.f64 x (*.f64 3 y))) 2))
(.f64 (cbrt.f64 (.f64 3 y)) (.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (.f64 x (*.f64 3 y))) 2)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 3 y))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (.f64 3 y)))) 2)) (cbrt.f64 (cbrt.f64 (.f64 x (.f64 3 y)))))
(+.f64 1 (-.f64 (.f64 x (.f64 3 y)) 1))
(+.f64 (.f64 x (.f64 3 y)) 0)
(.f64 x (.f64 3 y))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 3 y))) 2) (pow.f64 (.f64 x (.f64 3 y)) 1/6)) (pow.f64 (.f64 x (.f64 3 y)) 1/6))
(+.f64 1 (-.f64 (.f64 x (.f64 3 y)) 1))
(+.f64 (.f64 x (.f64 3 y)) 0)
(.f64 x (.f64 3 y))
(.f64 (.f64 (*.f64 x 3) 1) y)
(+.f64 1 (-.f64 (.f64 x (.f64 3 y)) 1))
(+.f64 (.f64 x (.f64 3 y)) 0)
(.f64 x (.f64 3 y))
(.f64 (.f64 (*.f64 x 3) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(+.f64 1 (-.f64 (.f64 x (.f64 3 y)) 1))
(+.f64 (.f64 x (.f64 3 y)) 0)
(.f64 x (.f64 3 y))
(.f64 (.f64 (*.f64 x 3) (sqrt.f64 y)) (sqrt.f64 y))
(+.f64 1 (-.f64 (.f64 x (.f64 3 y)) 1))
(+.f64 (.f64 x (.f64 3 y)) 0)
(.f64 x (.f64 3 y))
(sqrt.f64 (pow.f64 (.f64 x (.f64 3 y)) 2))
(+.f64 1 (-.f64 (.f64 x (.f64 3 y)) 1))
(+.f64 (.f64 x (.f64 3 y)) 0)
(.f64 x (.f64 3 y))
(log.f64 (pow.f64 (pow.f64 (exp.f64 3) y) x))
(+.f64 1 (-.f64 (.f64 x (.f64 3 y)) 1))
(+.f64 (.f64 x (.f64 3 y)) 0)
(.f64 x (.f64 3 y))
(cbrt.f64 (pow.f64 (.f64 x (.f64 3 y)) 3))
(+.f64 1 (-.f64 (.f64 x (.f64 3 y)) 1))
(+.f64 (.f64 x (.f64 3 y)) 0)
(.f64 x (.f64 3 y))
(cbrt.f64 (.f64 (pow.f64 x 3) (pow.f64 (.f64 3 y) 3)))
(+.f64 1 (-.f64 (.f64 x (.f64 3 y)) 1))
(+.f64 (.f64 x (.f64 3 y)) 0)
(.f64 x (.f64 3 y))
(cbrt.f64 (.f64 (pow.f64 (.f64 3 y) 3) (pow.f64 x 3)))
(+.f64 1 (-.f64 (.f64 x (.f64 3 y)) 1))
(+.f64 (.f64 x (.f64 3 y)) 0)
(.f64 x (.f64 3 y))
(expm1.f64 (log1p.f64 (.f64 x (.f64 3 y))))
(+.f64 1 (-.f64 (.f64 x (.f64 3 y)) 1))
(+.f64 (.f64 x (.f64 3 y)) 0)
(.f64 x (.f64 3 y))
(log1p.f64 (expm1.f64 (.f64 x (.f64 3 y))))
(+.f64 1 (-.f64 (.f64 x (.f64 3 y)) 1))
(+.f64 (.f64 x (.f64 3 y)) 0)
(.f64 x (.f64 3 y))
(exp.f64 (log.f64 (.f64 x (.f64 3 y))))
(+.f64 1 (-.f64 (.f64 x (.f64 3 y)) 1))
(+.f64 (.f64 x (.f64 3 y)) 0)
(.f64 x (.f64 3 y))

eval26.0ms (1.2%)

Compiler: Compiled 1297 to 908 computations (30% saved)

prune24.0ms (1.1%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	97	2	99
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	97	6	103

Error

Counts

103 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.7b	(-.f64 (pow.f64 (.f64 (cbrt.f64 (.f64 3 y)) (cbrt.f64 x)) 3) z)
✓	0.5b	(-.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 3 y))) 3) z)
▶	32.4b	(-.f64 (.f64 (.f64 (*.f64 3 y) (sqrt.f64 x)) (sqrt.f64 x)) z)
✓	0.1b	(-.f64 (.f64 (.f64 x 3) y) z)
✓	0.1b	(-.f64 (.f64 x (.f64 3 y)) z)
✓	0.1b	(-.f64 (.f64 3 (.f64 y x)) z)

Compiler

Compiled 71 to 51 computations (28.2% saved)

localize12.0ms (0.6%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (.f64 3 y) (sqrt.f64 x))
✓	0.2b	(.f64 (.f64 (*.f64 3 y) (sqrt.f64 x)) (sqrt.f64 x))

Compiler

Compiled 38 to 19 computations (50% saved)

series33.0ms (1.5%)

Counts

2 → 36

Calls

12 calls:

Time	Variable		Point	Expression
26.0ms	x	@	0	(.f64 (.f64 3 y) (sqrt.f64 x))
2.0ms	x	@	-inf	(.f64 (.f64 (*.f64 3 y) (sqrt.f64 x)) (sqrt.f64 x))
1.0ms	y	@	0	(.f64 (.f64 3 y) (sqrt.f64 x))
1.0ms	x	@	-inf	(.f64 (.f64 3 y) (sqrt.f64 x))
1.0ms	y	@	inf	(.f64 (.f64 3 y) (sqrt.f64 x))

rewrite45.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

739×	`pow1_binary64`
682×	`add-log-exp_binary64`
682×	`log1p-expm1-u_binary64`
682×	`expm1-log1p-u_binary64`
666×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	16
1	162	16
2	1899	16

Stop Event

1×	node limit

Counts

2 → 27

Calls

Call 1

Inputs
(.f64 (.f64 (*.f64 3 y) (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (.f64 3 y) (sqrt.f64 x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 3 (*.f64 y x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3 (*.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 3 (*.f64 y x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 3 (*.f64 y x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 3 (*.f64 y x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 3 (*.f64 y x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 3) y) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 3 (*.f64 y x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 3 y) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3/2) (pow.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) 3) (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 3 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 3 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 3 (*.f64 y x))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 3 (*.f64 y (sqrt.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 3 (*.f64 y (sqrt.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 3 (*.f64 y (sqrt.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x (*.f64 9 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) (*.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 3 y) 3) (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3/2) (pow.f64 (*.f64 3 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 3 (*.f64 y (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 3 (*.f64 y (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 3 (*.f64 y (sqrt.f64 x)))))))))

simplify51.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

808×	`log-prod_binary64`
524×	`distribute-rgt-in_binary64`
503×	`distribute-lft-in_binary64`
378×	`fma-def_binary64`
347×	`associate-+l+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	79	532
1	193	532
2	771	532
3	2346	531
4	7712	531

Stop Event

1×	node limit

Counts

63 → 40

Calls

Call 1

Inputs
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 -3 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 y x)))
(.f64 -3 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 y x)))
(.f64 -3 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 y x)))
(.f64 -3 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 y x)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(-.f64 (+.f64 1 (.f64 3 (.f64 y x))) 1)
(pow.f64 (.f64 3 (.f64 y x)) 1)
(pow.f64 (pow.f64 (.f64 3 (.f64 y x)) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 3 (.f64 y x))) 3)
(pow.f64 (sqrt.f64 (.f64 3 (.f64 y x))) 2)
(sqrt.f64 (pow.f64 (.f64 3 (.f64 y x)) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 3) y) x))
(cbrt.f64 (pow.f64 (.f64 3 (.f64 y x)) 3))
(cbrt.f64 (.f64 (pow.f64 (.f64 3 y) 3) (pow.f64 x 3)))
(cbrt.f64 (.f64 (pow.f64 x 3/2) (pow.f64 (.f64 3 (*.f64 y (sqrt.f64 x))) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 3 (*.f64 y (sqrt.f64 x))) 3) (pow.f64 x 3/2)))
(expm1.f64 (log1p.f64 (.f64 3 (.f64 y x))))
(log1p.f64 (expm1.f64 (.f64 3 (.f64 y x))))
(exp.f64 (log.f64 (.f64 3 (.f64 y x))))
(-.f64 (+.f64 1 (.f64 3 (.f64 y (sqrt.f64 x)))) 1)
(pow.f64 (.f64 3 (.f64 y (sqrt.f64 x))) 1)
(pow.f64 (pow.f64 (.f64 3 (.f64 y (sqrt.f64 x))) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 3 (.f64 y (sqrt.f64 x)))) 3)
(pow.f64 (sqrt.f64 (.f64 3 (.f64 y (sqrt.f64 x)))) 2)
(sqrt.f64 (.f64 x (.f64 9 (*.f64 y y))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) (*.f64 3 y)))
(cbrt.f64 (pow.f64 (.f64 3 (.f64 y (sqrt.f64 x))) 3))
(cbrt.f64 (.f64 (pow.f64 (.f64 3 y) 3) (pow.f64 x 3/2)))
(cbrt.f64 (.f64 (pow.f64 x 3/2) (pow.f64 (.f64 3 y) 3)))
(expm1.f64 (log1p.f64 (.f64 3 (.f64 y (sqrt.f64 x)))))
(log1p.f64 (expm1.f64 (.f64 3 (.f64 y (sqrt.f64 x)))))
(exp.f64 (log.f64 (.f64 3 (.f64 y (sqrt.f64 x)))))

Outputs
(.f64 3 (.f64 y x))
(.f64 (.f64 3 y) x)
(.f64 3 (.f64 y x))
(.f64 (.f64 3 y) x)
(.f64 3 (.f64 y x))
(.f64 (.f64 3 y) x)
(.f64 3 (.f64 y x))
(.f64 (.f64 3 y) x)
(.f64 3 (.f64 y x))
(.f64 (.f64 3 y) x)
(.f64 3 (.f64 y x))
(.f64 (.f64 3 y) x)
(.f64 3 (.f64 y x))
(.f64 (.f64 3 y) x)
(.f64 3 (.f64 y x))
(.f64 (.f64 3 y) x)
(.f64 3 (.f64 y x))
(.f64 (.f64 3 y) x)
(.f64 3 (.f64 y x))
(.f64 (.f64 3 y) x)
(.f64 3 (.f64 y x))
(.f64 (.f64 3 y) x)
(.f64 3 (.f64 y x))
(.f64 (.f64 3 y) x)
(.f64 3 (.f64 y x))
(.f64 (.f64 3 y) x)
(.f64 3 (.f64 y x))
(.f64 (.f64 3 y) x)
(.f64 3 (.f64 y x))
(.f64 (.f64 3 y) x)
(.f64 3 (.f64 y x))
(.f64 (.f64 3 y) x)
(.f64 3 (.f64 y x))
(.f64 (.f64 3 y) x)
(.f64 3 (.f64 y x))
(.f64 (.f64 3 y) x)
(.f64 3 (.f64 y x))
(.f64 (.f64 3 y) x)
(.f64 3 (.f64 y x))
(.f64 (.f64 3 y) x)
(.f64 -3 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 y x)))
(.f64 (.f64 3 y) x)
(.f64 3 (.f64 y x))
(.f64 -3 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 y x)))
(.f64 (.f64 3 y) x)
(.f64 3 (.f64 y x))
(.f64 -3 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 y x)))
(.f64 (.f64 3 y) x)
(.f64 3 (.f64 y x))
(.f64 -3 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 y x)))
(.f64 (.f64 3 y) x)
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 (.f64 3 y) (sqrt.f64 x))
(.f64 y (.f64 3 (sqrt.f64 x)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 (.f64 3 y) (sqrt.f64 x))
(.f64 y (.f64 3 (sqrt.f64 x)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 (.f64 3 y) (sqrt.f64 x))
(.f64 y (.f64 3 (sqrt.f64 x)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 (.f64 3 y) (sqrt.f64 x))
(.f64 y (.f64 3 (sqrt.f64 x)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 (.f64 3 y) (sqrt.f64 x))
(.f64 y (.f64 3 (sqrt.f64 x)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 (.f64 3 y) (sqrt.f64 x))
(.f64 y (.f64 3 (sqrt.f64 x)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 (.f64 3 y) (sqrt.f64 x))
(.f64 y (.f64 3 (sqrt.f64 x)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 (.f64 3 y) (sqrt.f64 x))
(.f64 y (.f64 3 (sqrt.f64 x)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 (.f64 3 y) (sqrt.f64 x))
(.f64 y (.f64 3 (sqrt.f64 x)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 (.f64 3 y) (sqrt.f64 x))
(.f64 y (.f64 3 (sqrt.f64 x)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 (.f64 3 y) (sqrt.f64 x))
(.f64 y (.f64 3 (sqrt.f64 x)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 (.f64 3 y) (sqrt.f64 x))
(.f64 y (.f64 3 (sqrt.f64 x)))
(-.f64 (+.f64 1 (.f64 3 (.f64 y x))) 1)
(.f64 (.f64 3 y) x)
(.f64 3 (.f64 y x))
(pow.f64 (.f64 3 (.f64 y x)) 1)
(.f64 (.f64 3 y) x)
(.f64 3 (.f64 y x))
(pow.f64 (pow.f64 (.f64 3 (.f64 y x)) 3) 1/3)
(.f64 (.f64 3 y) x)
(.f64 3 (.f64 y x))
(pow.f64 (cbrt.f64 (.f64 3 (.f64 y x))) 3)
(.f64 (.f64 3 y) x)
(.f64 3 (.f64 y x))
(pow.f64 (sqrt.f64 (.f64 3 (.f64 y x))) 2)
(.f64 (.f64 3 y) x)
(.f64 3 (.f64 y x))
(sqrt.f64 (pow.f64 (.f64 3 (.f64 y x)) 2))
(.f64 (.f64 3 y) x)
(.f64 3 (.f64 y x))
(log.f64 (pow.f64 (pow.f64 (exp.f64 3) y) x))
(.f64 (.f64 3 y) x)
(.f64 3 (.f64 y x))
(cbrt.f64 (pow.f64 (.f64 3 (.f64 y x)) 3))
(.f64 (.f64 3 y) x)
(.f64 3 (.f64 y x))
(cbrt.f64 (.f64 (pow.f64 (.f64 3 y) 3) (pow.f64 x 3)))
(.f64 (.f64 3 y) x)
(.f64 3 (.f64 y x))
(cbrt.f64 (.f64 (pow.f64 x 3/2) (pow.f64 (.f64 3 (*.f64 y (sqrt.f64 x))) 3)))
(cbrt.f64 (.f64 (pow.f64 x 3/2) (pow.f64 (.f64 (*.f64 3 y) (sqrt.f64 x)) 3)))
(cbrt.f64 (.f64 (pow.f64 x 3/2) (.f64 27 (pow.f64 (*.f64 y (sqrt.f64 x)) 3))))
(cbrt.f64 (.f64 (pow.f64 x 3/2) (pow.f64 (.f64 y (*.f64 3 (sqrt.f64 x))) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 3 (*.f64 y (sqrt.f64 x))) 3) (pow.f64 x 3/2)))
(cbrt.f64 (.f64 (pow.f64 x 3/2) (pow.f64 (.f64 (*.f64 3 y) (sqrt.f64 x)) 3)))
(cbrt.f64 (.f64 (pow.f64 x 3/2) (.f64 27 (pow.f64 (*.f64 y (sqrt.f64 x)) 3))))
(cbrt.f64 (.f64 (pow.f64 x 3/2) (pow.f64 (.f64 y (*.f64 3 (sqrt.f64 x))) 3)))
(expm1.f64 (log1p.f64 (.f64 3 (.f64 y x))))
(.f64 (.f64 3 y) x)
(.f64 3 (.f64 y x))
(log1p.f64 (expm1.f64 (.f64 3 (.f64 y x))))
(.f64 (.f64 3 y) x)
(.f64 3 (.f64 y x))
(exp.f64 (log.f64 (.f64 3 (.f64 y x))))
(.f64 (.f64 3 y) x)
(.f64 3 (.f64 y x))
(-.f64 (+.f64 1 (.f64 3 (.f64 y (sqrt.f64 x)))) 1)
(.f64 (.f64 3 y) (sqrt.f64 x))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 y (.f64 3 (sqrt.f64 x)))
(pow.f64 (.f64 3 (.f64 y (sqrt.f64 x))) 1)
(.f64 (.f64 3 y) (sqrt.f64 x))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 y (.f64 3 (sqrt.f64 x)))
(pow.f64 (pow.f64 (.f64 3 (.f64 y (sqrt.f64 x))) 3) 1/3)
(.f64 (.f64 3 y) (sqrt.f64 x))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 y (.f64 3 (sqrt.f64 x)))
(pow.f64 (cbrt.f64 (.f64 3 (.f64 y (sqrt.f64 x)))) 3)
(.f64 (.f64 3 y) (sqrt.f64 x))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 y (.f64 3 (sqrt.f64 x)))
(pow.f64 (sqrt.f64 (.f64 3 (.f64 y (sqrt.f64 x)))) 2)
(.f64 (.f64 3 y) (sqrt.f64 x))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 y (.f64 3 (sqrt.f64 x)))
(sqrt.f64 (.f64 x (.f64 9 (*.f64 y y))))
(sqrt.f64 (.f64 (.f64 y 9) (*.f64 y x)))
(sqrt.f64 (.f64 y (.f64 x (*.f64 y 9))))
(fabs.f64 (.f64 y (.f64 3 (sqrt.f64 x))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) (*.f64 3 y)))
(.f64 (.f64 3 y) (sqrt.f64 x))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 y (.f64 3 (sqrt.f64 x)))
(cbrt.f64 (pow.f64 (.f64 3 (.f64 y (sqrt.f64 x))) 3))
(.f64 (.f64 3 y) (sqrt.f64 x))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 y (.f64 3 (sqrt.f64 x)))
(cbrt.f64 (.f64 (pow.f64 (.f64 3 y) 3) (pow.f64 x 3/2)))
(cbrt.f64 (.f64 (.f64 27 (pow.f64 y 3)) (pow.f64 x 3/2)))
(cbrt.f64 (.f64 (pow.f64 x 3/2) (pow.f64 (.f64 3 y) 3)))
(cbrt.f64 (.f64 (.f64 27 (pow.f64 y 3)) (pow.f64 x 3/2)))
(expm1.f64 (log1p.f64 (.f64 3 (.f64 y (sqrt.f64 x)))))
(.f64 (.f64 3 y) (sqrt.f64 x))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 y (.f64 3 (sqrt.f64 x)))
(log1p.f64 (expm1.f64 (.f64 3 (.f64 y (sqrt.f64 x)))))
(.f64 (.f64 3 y) (sqrt.f64 x))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 y (.f64 3 (sqrt.f64 x)))
(exp.f64 (log.f64 (.f64 3 (.f64 y (sqrt.f64 x)))))
(.f64 (.f64 3 y) (sqrt.f64 x))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 y (.f64 3 (sqrt.f64 x)))

localize17.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (cbrt.f64 (.f64 3 y)) (cbrt.f64 x))
✓	0.6b	(cbrt.f64 x)
✓	0.6b	(cbrt.f64 (*.f64 3 y))
✓	0.6b	(pow.f64 (.f64 (cbrt.f64 (.f64 3 y)) (cbrt.f64 x)) 3)

Compiler

Compiled 43 to 27 computations (37.2% saved)

series22.0ms (1%)

Counts

4 → 0

Calls

18 calls:

Time	Variable		Point	Expression
13.0ms	x	@	inf	(pow.f64 (.f64 (cbrt.f64 (.f64 3 y)) (cbrt.f64 x)) 3)
2.0ms	x	@	-inf	(pow.f64 (.f64 (cbrt.f64 (.f64 3 y)) (cbrt.f64 x)) 3)
1.0ms	y	@	0	(pow.f64 (.f64 (cbrt.f64 (.f64 3 y)) (cbrt.f64 x)) 3)
1.0ms	y	@	inf	(pow.f64 (.f64 (cbrt.f64 (.f64 3 y)) (cbrt.f64 x)) 3)
1.0ms	y	@	-inf	(pow.f64 (.f64 (cbrt.f64 (.f64 3 y)) (cbrt.f64 x)) 3)

rewrite58.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

781×	`pow1_binary64`
727×	`add-log-exp_binary64`
727×	`log1p-expm1-u_binary64`
727×	`expm1-log1p-u_binary64`
705×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	30
1	188	25
2	2091	25

Stop Event

1×	node limit

Counts

4 → 81

Calls

Call 1

Inputs
(pow.f64 (.f64 (cbrt.f64 (.f64 3 y)) (cbrt.f64 x)) 3)
(cbrt.f64 (*.f64 3 y))
(cbrt.f64 x)
(.f64 (cbrt.f64 (.f64 3 y)) (cbrt.f64 x))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (.f64 3 (.f64 y x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 3 (.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 y (.f64 3 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 3 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 3 y)) (.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 (.f64 3 (.f64 y x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (.f64 3 y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 x) (.f64 (cbrt.f64 (.f64 3 y)) (cbrt.f64 (pow.f64 (.f64 3 (.f64 y x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 3 (.f64 y x))) (cbrt.f64 (pow.f64 (.f64 3 (.f64 y x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 3 (.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 3 (.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (.f64 3 (.f64 y x)) 2)) (cbrt.f64 (.f64 3 (.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (.f64 3 y) 2)) (.f64 (cbrt.f64 (.f64 3 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 3 (.f64 y x)) 2))) (.f64 (cbrt.f64 (cbrt.f64 (.f64 3 (.f64 y x)))) (cbrt.f64 (pow.f64 (.f64 3 (.f64 y x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cbrt.f64 (.f64 3 (.f64 y x)))) (.f64 (sqrt.f64 (cbrt.f64 (.f64 3 (.f64 y x)))) (cbrt.f64 (pow.f64 (.f64 3 (.f64 y x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 3 y)) (.f64 (sqrt.f64 (.f64 3 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 3 (.f64 y x))) (sqrt.f64 (.f64 3 (.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 3 (.f64 y x)) 2))) 3) (cbrt.f64 (.f64 3 (.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (cbrt.f64 (.f64 3 (.f64 y x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (.f64 3 (.f64 y x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 3 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 3 y) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (pow.f64 (.f64 3 (.f64 y x)) 2)) (cbrt.f64 (.f64 3 y))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (pow.f64 (.f64 3 (.f64 y x)) 2)) (cbrt.f64 x)) (cbrt.f64 (.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (pow.f64 (.f64 3 (.f64 y x)) 2)) 1) (cbrt.f64 (.f64 3 (.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (pow.f64 (.f64 3 (.f64 y x)) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 3 (.f64 y x)) 2)))) (cbrt.f64 (cbrt.f64 (.f64 3 (.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (pow.f64 (.f64 3 (.f64 y x)) 2)) (sqrt.f64 (cbrt.f64 (.f64 3 (.f64 y x))))) (sqrt.f64 (cbrt.f64 (.f64 3 (.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 3 (.f64 y x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 3) y) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 3 (.f64 y x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (.f64 3 y) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 3 (.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 3 (.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 3 (*.f64 y x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (.f64 3 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 3 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cbrt.f64 (.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (.f64 3 y))) (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 3 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 3 y) 2))) (cbrt.f64 (cbrt.f64 (.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 3) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 y) (cbrt.f64 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 3 y) 1/6) (pow.f64 (.f64 3 y) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/3) (cbrt.f64 (.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (pow.f64 (.f64 3 y) 2)) 1/3) (cbrt.f64 (cbrt.f64 (.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (.f64 3 y)) 1/3) (pow.f64 (sqrt.f64 (.f64 3 y)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 3 y) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 3 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (.f64 3 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 3 y) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (pow.f64 (.f64 3 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 3 y))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 x 1/6) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/3) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 1/3) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 x) 1/3) (pow.f64 (sqrt.f64 x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (.f64 3 (.f64 y x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 3 (.f64 y x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 3 (.f64 y x)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (.f64 3 (.f64 y x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cbrt.f64 (.f64 3 (.f64 y x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (pow.f64 (.f64 3 (.f64 y x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (.f64 3 (.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 3 (.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (.f64 3 (.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (.f64 3 (.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (.f64 3 (.f64 y x)))))))))

simplify73.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

824×	`unswap-sqr_binary64`
507×	`log-prod_binary64`
395×	`fma-neg_binary64`
371×	`*-commutative_binary64`
355×	`cube-prod_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	159	1192
1	342	993
2	1444	796
3	4855	787

Stop Event

1×	node limit

Counts

81 → 104

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (.f64 3 (.f64 y x))) 1)
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 (.f64 3 y) x)
(.f64 (cbrt.f64 (.f64 3 y)) (.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 (.f64 3 (*.f64 y x)) 2))))
(.f64 x (.f64 3 y))
(.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (.f64 3 y)) (cbrt.f64 (pow.f64 (.f64 3 (*.f64 y x)) 2))))
(.f64 (cbrt.f64 (.f64 3 (.f64 y x))) (cbrt.f64 (pow.f64 (.f64 3 (*.f64 y x)) 2)))
(.f64 (.f64 3 (*.f64 y x)) 1)
(.f64 1 (.f64 3 (*.f64 y x)))
(.f64 (cbrt.f64 (pow.f64 (.f64 3 (.f64 y x)) 2)) (cbrt.f64 (.f64 3 (*.f64 y x))))
(.f64 (cbrt.f64 (pow.f64 (.f64 3 y) 2)) (.f64 (cbrt.f64 (.f64 3 y)) x))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 3 (.f64 y x)) 2))) (.f64 (cbrt.f64 (cbrt.f64 (.f64 3 (.f64 y x)))) (cbrt.f64 (pow.f64 (.f64 3 (.f64 y x)) 2))))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 3 (.f64 y x)))) (.f64 (sqrt.f64 (cbrt.f64 (.f64 3 (.f64 y x)))) (cbrt.f64 (pow.f64 (.f64 3 (.f64 y x)) 2))))
(.f64 (sqrt.f64 (.f64 3 y)) (.f64 (sqrt.f64 (.f64 3 y)) x))
(.f64 (sqrt.f64 (.f64 3 (.f64 y x))) (sqrt.f64 (.f64 3 (*.f64 y x))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 3 (.f64 y x)) 2))) 3) (cbrt.f64 (.f64 3 (*.f64 y x))))
(.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (.f64 3 (.f64 y x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (.f64 3 (*.f64 y x)))) 3))
(.f64 (.f64 (*.f64 3 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(.f64 (.f64 (*.f64 3 y) (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 3 (.f64 y x)) 2)) (cbrt.f64 (*.f64 3 y))) (cbrt.f64 x))
(.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 3 (.f64 y x)) 2)) (cbrt.f64 x)) (cbrt.f64 (*.f64 3 y)))
(.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 3 (.f64 y x)) 2)) 1) (cbrt.f64 (.f64 3 (.f64 y x))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 3 (.f64 y x)) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 3 (.f64 y x)) 2)))) (cbrt.f64 (cbrt.f64 (.f64 3 (.f64 y x)))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 3 (.f64 y x)) 2)) (sqrt.f64 (cbrt.f64 (.f64 3 (.f64 y x))))) (sqrt.f64 (cbrt.f64 (.f64 3 (.f64 y x)))))
(sqrt.f64 (pow.f64 (.f64 3 (.f64 y x)) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 3) y) x))
(cbrt.f64 (pow.f64 (.f64 3 (.f64 y x)) 3))
(cbrt.f64 (.f64 (pow.f64 (.f64 3 y) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (.f64 3 (.f64 y x))))
(log1p.f64 (expm1.f64 (.f64 3 (.f64 y x))))
(exp.f64 (log.f64 (.f64 3 (.f64 y x))))
(-.f64 (+.f64 1 (cbrt.f64 (*.f64 3 y))) 1)
(.f64 (cbrt.f64 (.f64 3 y)) 1)
(.f64 1 (cbrt.f64 (.f64 3 y)))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 3 y))) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 3 y) 2))))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 3 y) 2))) (cbrt.f64 (cbrt.f64 (*.f64 3 y))))
(*.f64 (cbrt.f64 3) (cbrt.f64 y))
(*.f64 (cbrt.f64 y) (cbrt.f64 3))
(.f64 (pow.f64 (.f64 3 y) 1/6) (pow.f64 (*.f64 3 y) 1/6))
(.f64 (pow.f64 1 1/3) (cbrt.f64 (.f64 3 y)))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (.f64 3 y) 2)) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 3 y))))
(.f64 (pow.f64 (sqrt.f64 (.f64 3 y)) 1/3) (pow.f64 (sqrt.f64 (*.f64 3 y)) 1/3))
(pow.f64 (*.f64 3 y) 1/3)
(pow.f64 (cbrt.f64 (*.f64 3 y)) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 3 y))) 3)
(pow.f64 (pow.f64 (*.f64 3 y) 1/6) 2)
(sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 3 y) 2)))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 3 y))))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 3 y))))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 3 y))))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 3 y))))
(-.f64 (+.f64 1 (cbrt.f64 x)) 1)
(*.f64 (cbrt.f64 x) 1)
(*.f64 1 (cbrt.f64 x))
(*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (pow.f64 x 1/6) (pow.f64 x 1/6))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 1/3) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 x) 1/3) (pow.f64 (sqrt.f64 x) 1/3))
(pow.f64 x 1/3)
(pow.f64 (cbrt.f64 x) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 x)) 3)
(pow.f64 (pow.f64 x 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 x) 2))
(log.f64 (exp.f64 (cbrt.f64 x)))
(expm1.f64 (log1p.f64 (cbrt.f64 x)))
(log1p.f64 (expm1.f64 (cbrt.f64 x)))
(exp.f64 (log.f64 (cbrt.f64 x)))
(-.f64 (+.f64 1 (cbrt.f64 (.f64 3 (.f64 y x)))) 1)
(pow.f64 (cbrt.f64 (.f64 3 (.f64 y x))) 1)
(pow.f64 (.f64 3 (.f64 y x)) 1/3)
(pow.f64 (cbrt.f64 (cbrt.f64 (.f64 3 (.f64 y x)))) 3)
(pow.f64 (sqrt.f64 (cbrt.f64 (.f64 3 (.f64 y x)))) 2)
(sqrt.f64 (cbrt.f64 (pow.f64 (.f64 3 (.f64 y x)) 2)))
(log.f64 (exp.f64 (cbrt.f64 (.f64 3 (.f64 y x)))))
(cbrt.f64 (.f64 3 (.f64 y x)))
(expm1.f64 (log1p.f64 (cbrt.f64 (.f64 3 (.f64 y x)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (.f64 3 (.f64 y x)))))
(exp.f64 (log.f64 (cbrt.f64 (.f64 3 (.f64 y x)))))

Outputs
(-.f64 (+.f64 1 (.f64 3 (.f64 y x))) 1)
(+.f64 1 (-.f64 (.f64 3 (.f64 y x)) 1))
(+.f64 (.f64 3 (.f64 y x)) 0)
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(+.f64 1 (-.f64 (.f64 3 (.f64 y x)) 1))
(+.f64 (.f64 3 (.f64 y x)) 0)
(.f64 y (.f64 3 x))
(+.f64 1 (-.f64 (.f64 3 (.f64 y x)) 1))
(+.f64 (.f64 3 (.f64 y x)) 0)
(.f64 3 (.f64 y x))
(.f64 (.f64 3 y) x)
(+.f64 1 (-.f64 (.f64 3 (.f64 y x)) 1))
(+.f64 (.f64 3 (.f64 y x)) 0)
(.f64 3 (.f64 y x))
(.f64 (cbrt.f64 (.f64 3 y)) (.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 (.f64 3 (*.f64 y x)) 2))))
(.f64 (cbrt.f64 (pow.f64 (.f64 3 (.f64 y x)) 2)) (.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 3 y))))
(.f64 (cbrt.f64 (pow.f64 (.f64 3 (.f64 y x)) 2)) (.f64 (cbrt.f64 (*.f64 3 y)) (cbrt.f64 x)))
(.f64 (cbrt.f64 (pow.f64 (.f64 3 (.f64 y x)) 2)) (cbrt.f64 (.f64 3 (*.f64 y x))))
(.f64 x (.f64 3 y))
(+.f64 1 (-.f64 (.f64 3 (.f64 y x)) 1))
(+.f64 (.f64 3 (.f64 y x)) 0)
(.f64 3 (.f64 y x))
(.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (.f64 3 y)) (cbrt.f64 (pow.f64 (.f64 3 (*.f64 y x)) 2))))
(.f64 (cbrt.f64 (pow.f64 (.f64 3 (.f64 y x)) 2)) (.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 3 y))))
(.f64 (cbrt.f64 (pow.f64 (.f64 3 (.f64 y x)) 2)) (.f64 (cbrt.f64 (*.f64 3 y)) (cbrt.f64 x)))
(.f64 (cbrt.f64 (pow.f64 (.f64 3 (.f64 y x)) 2)) (cbrt.f64 (.f64 3 (*.f64 y x))))
(.f64 (cbrt.f64 (.f64 3 (.f64 y x))) (cbrt.f64 (pow.f64 (.f64 3 (*.f64 y x)) 2)))
(.f64 (cbrt.f64 (pow.f64 (.f64 3 (.f64 y x)) 2)) (.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 3 y))))
(.f64 (cbrt.f64 (pow.f64 (.f64 3 (.f64 y x)) 2)) (.f64 (cbrt.f64 (*.f64 3 y)) (cbrt.f64 x)))
(.f64 (cbrt.f64 (pow.f64 (.f64 3 (.f64 y x)) 2)) (cbrt.f64 (.f64 3 (*.f64 y x))))
(.f64 (.f64 3 (*.f64 y x)) 1)
(+.f64 1 (-.f64 (.f64 3 (.f64 y x)) 1))
(+.f64 (.f64 3 (.f64 y x)) 0)
(.f64 3 (.f64 y x))
(.f64 1 (.f64 3 (*.f64 y x)))
(+.f64 1 (-.f64 (.f64 3 (.f64 y x)) 1))
(+.f64 (.f64 3 (.f64 y x)) 0)
(.f64 3 (.f64 y x))
(.f64 (cbrt.f64 (pow.f64 (.f64 3 (.f64 y x)) 2)) (cbrt.f64 (.f64 3 (*.f64 y x))))
(.f64 (cbrt.f64 (pow.f64 (.f64 3 (.f64 y x)) 2)) (.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 3 y))))
(.f64 (cbrt.f64 (pow.f64 (.f64 3 (.f64 y x)) 2)) (.f64 (cbrt.f64 (*.f64 3 y)) (cbrt.f64 x)))
(.f64 (cbrt.f64 (pow.f64 (.f64 3 y) 2)) (.f64 (cbrt.f64 (.f64 3 y)) x))
(.f64 (cbrt.f64 (pow.f64 (.f64 3 y) 2)) (.f64 x (cbrt.f64 (.f64 3 y))))
(.f64 (cbrt.f64 (.f64 (.f64 y y) 9)) (.f64 x (cbrt.f64 (*.f64 3 y))))
(.f64 x (.f64 (cbrt.f64 (.f64 3 y)) (cbrt.f64 (.f64 (*.f64 y y) 9))))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 3 (.f64 y x)) 2))) (.f64 (cbrt.f64 (cbrt.f64 (.f64 3 (.f64 y x)))) (cbrt.f64 (pow.f64 (.f64 3 (.f64 y x)) 2))))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 3 (.f64 y x)) 2))) (.f64 (cbrt.f64 (pow.f64 (.f64 3 (.f64 y x)) 2)) (cbrt.f64 (cbrt.f64 (.f64 3 (.f64 y x))))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 3 (.f64 y x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 3 (*.f64 y x)) 2))) 4))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 3 (.f64 y x)))) (.f64 (sqrt.f64 (cbrt.f64 (.f64 3 (.f64 y x)))) (cbrt.f64 (pow.f64 (.f64 3 (.f64 y x)) 2))))
(.f64 (cbrt.f64 (pow.f64 (.f64 3 (.f64 y x)) 2)) (.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 3 y))))
(.f64 (cbrt.f64 (pow.f64 (.f64 3 (.f64 y x)) 2)) (.f64 (cbrt.f64 (*.f64 3 y)) (cbrt.f64 x)))
(.f64 (cbrt.f64 (pow.f64 (.f64 3 (.f64 y x)) 2)) (cbrt.f64 (.f64 3 (*.f64 y x))))
(.f64 (sqrt.f64 (.f64 3 y)) (.f64 (sqrt.f64 (.f64 3 y)) x))
(+.f64 1 (-.f64 (.f64 3 (.f64 y x)) 1))
(+.f64 (.f64 3 (.f64 y x)) 0)
(.f64 3 (.f64 y x))
(.f64 (sqrt.f64 (.f64 3 (.f64 y x))) (sqrt.f64 (.f64 3 (*.f64 y x))))
(+.f64 1 (-.f64 (.f64 3 (.f64 y x)) 1))
(+.f64 (.f64 3 (.f64 y x)) 0)
(.f64 3 (.f64 y x))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 3 (.f64 y x)) 2))) 3) (cbrt.f64 (.f64 3 (*.f64 y x))))
(.f64 (cbrt.f64 (pow.f64 (.f64 3 (.f64 y x)) 2)) (.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 3 y))))
(.f64 (cbrt.f64 (pow.f64 (.f64 3 (.f64 y x)) 2)) (.f64 (cbrt.f64 (*.f64 3 y)) (cbrt.f64 x)))
(.f64 (cbrt.f64 (pow.f64 (.f64 3 (.f64 y x)) 2)) (cbrt.f64 (.f64 3 (*.f64 y x))))
(.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (.f64 3 (.f64 y x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (.f64 3 (*.f64 y x)))) 3))
(+.f64 1 (-.f64 (.f64 3 (.f64 y x)) 1))
(+.f64 (.f64 3 (.f64 y x)) 0)
(.f64 3 (.f64 y x))
(.f64 (.f64 (*.f64 3 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(+.f64 1 (-.f64 (.f64 3 (.f64 y x)) 1))
(+.f64 (.f64 3 (.f64 y x)) 0)
(.f64 3 (.f64 y x))
(.f64 (.f64 (*.f64 3 y) (sqrt.f64 x)) (sqrt.f64 x))
(+.f64 1 (-.f64 (.f64 3 (.f64 y x)) 1))
(+.f64 (.f64 3 (.f64 y x)) 0)
(.f64 3 (.f64 y x))
(.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 3 (.f64 y x)) 2)) (cbrt.f64 (*.f64 3 y))) (cbrt.f64 x))
(.f64 (cbrt.f64 (pow.f64 (.f64 3 (.f64 y x)) 2)) (.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 3 y))))
(.f64 (cbrt.f64 (pow.f64 (.f64 3 (.f64 y x)) 2)) (.f64 (cbrt.f64 (*.f64 3 y)) (cbrt.f64 x)))
(.f64 (cbrt.f64 (pow.f64 (.f64 3 (.f64 y x)) 2)) (cbrt.f64 (.f64 3 (*.f64 y x))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 3 (.f64 y x)) 2)) (cbrt.f64 x)) (cbrt.f64 (*.f64 3 y)))
(.f64 (cbrt.f64 (pow.f64 (.f64 3 (.f64 y x)) 2)) (.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 3 y))))
(.f64 (cbrt.f64 (pow.f64 (.f64 3 (.f64 y x)) 2)) (.f64 (cbrt.f64 (*.f64 3 y)) (cbrt.f64 x)))
(.f64 (cbrt.f64 (pow.f64 (.f64 3 (.f64 y x)) 2)) (cbrt.f64 (.f64 3 (*.f64 y x))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 3 (.f64 y x)) 2)) 1) (cbrt.f64 (.f64 3 (.f64 y x))))
(.f64 (cbrt.f64 (pow.f64 (.f64 3 (.f64 y x)) 2)) (.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 3 y))))
(.f64 (cbrt.f64 (pow.f64 (.f64 3 (.f64 y x)) 2)) (.f64 (cbrt.f64 (*.f64 3 y)) (cbrt.f64 x)))
(.f64 (cbrt.f64 (pow.f64 (.f64 3 (.f64 y x)) 2)) (cbrt.f64 (.f64 3 (*.f64 y x))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 3 (.f64 y x)) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 3 (.f64 y x)) 2)))) (cbrt.f64 (cbrt.f64 (.f64 3 (.f64 y x)))))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 3 (.f64 y x)) 2))) (.f64 (cbrt.f64 (pow.f64 (.f64 3 (.f64 y x)) 2)) (cbrt.f64 (cbrt.f64 (.f64 3 (.f64 y x))))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 3 (.f64 y x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 3 (*.f64 y x)) 2))) 4))
(.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 3 (.f64 y x)) 2)) (sqrt.f64 (cbrt.f64 (.f64 3 (.f64 y x))))) (sqrt.f64 (cbrt.f64 (.f64 3 (.f64 y x)))))
(.f64 (cbrt.f64 (pow.f64 (.f64 3 (.f64 y x)) 2)) (.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 3 y))))
(.f64 (cbrt.f64 (pow.f64 (.f64 3 (.f64 y x)) 2)) (.f64 (cbrt.f64 (*.f64 3 y)) (cbrt.f64 x)))
(.f64 (cbrt.f64 (pow.f64 (.f64 3 (.f64 y x)) 2)) (cbrt.f64 (.f64 3 (*.f64 y x))))
(sqrt.f64 (pow.f64 (.f64 3 (.f64 y x)) 2))
(+.f64 1 (-.f64 (.f64 3 (.f64 y x)) 1))
(+.f64 (.f64 3 (.f64 y x)) 0)
(.f64 3 (.f64 y x))
(log.f64 (pow.f64 (pow.f64 (exp.f64 3) y) x))
(+.f64 1 (-.f64 (.f64 3 (.f64 y x)) 1))
(+.f64 (.f64 3 (.f64 y x)) 0)
(.f64 3 (.f64 y x))
(cbrt.f64 (pow.f64 (.f64 3 (.f64 y x)) 3))
(+.f64 1 (-.f64 (.f64 3 (.f64 y x)) 1))
(+.f64 (.f64 3 (.f64 y x)) 0)
(.f64 3 (.f64 y x))
(cbrt.f64 (.f64 (pow.f64 (.f64 3 y) 3) (pow.f64 x 3)))
(+.f64 1 (-.f64 (.f64 3 (.f64 y x)) 1))
(+.f64 (.f64 3 (.f64 y x)) 0)
(.f64 3 (.f64 y x))
(expm1.f64 (log1p.f64 (.f64 3 (.f64 y x))))
(+.f64 1 (-.f64 (.f64 3 (.f64 y x)) 1))
(+.f64 (.f64 3 (.f64 y x)) 0)
(.f64 3 (.f64 y x))
(log1p.f64 (expm1.f64 (.f64 3 (.f64 y x))))
(+.f64 1 (-.f64 (.f64 3 (.f64 y x)) 1))
(+.f64 (.f64 3 (.f64 y x)) 0)
(.f64 3 (.f64 y x))
(exp.f64 (log.f64 (.f64 3 (.f64 y x))))
(+.f64 1 (-.f64 (.f64 3 (.f64 y x)) 1))
(+.f64 (.f64 3 (.f64 y x)) 0)
(.f64 3 (.f64 y x))
(-.f64 (+.f64 1 (cbrt.f64 (*.f64 3 y))) 1)
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 3 y)) 1))
(+.f64 (cbrt.f64 (*.f64 3 y)) 0)
(cbrt.f64 (*.f64 3 y))
(.f64 (cbrt.f64 (.f64 3 y)) 1)
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 3 y)) 1))
(+.f64 (cbrt.f64 (*.f64 3 y)) 0)
(cbrt.f64 (*.f64 3 y))
(.f64 1 (cbrt.f64 (.f64 3 y)))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 3 y)) 1))
(+.f64 (cbrt.f64 (*.f64 3 y)) 0)
(cbrt.f64 (*.f64 3 y))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 3 y))) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 3 y) 2))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 3 y))) (cbrt.f64 (cbrt.f64 (.f64 (.f64 y y) 9))))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 3 y) 2))) (cbrt.f64 (cbrt.f64 (*.f64 3 y))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 3 y))) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 3 y) 2))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 3 y))) (cbrt.f64 (cbrt.f64 (.f64 (.f64 y y) 9))))
(*.f64 (cbrt.f64 3) (cbrt.f64 y))
(*.f64 (cbrt.f64 y) (cbrt.f64 3))
(*.f64 (cbrt.f64 3) (cbrt.f64 y))
(.f64 (pow.f64 (.f64 3 y) 1/6) (pow.f64 (*.f64 3 y) 1/6))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 3 y)) 1))
(+.f64 (cbrt.f64 (*.f64 3 y)) 0)
(cbrt.f64 (*.f64 3 y))
(.f64 (pow.f64 1 1/3) (cbrt.f64 (.f64 3 y)))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 3 y)) 1))
(+.f64 (cbrt.f64 (*.f64 3 y)) 0)
(cbrt.f64 (*.f64 3 y))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (.f64 3 y) 2)) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 3 y))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 3 y))) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 3 y) 2))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 3 y))) (cbrt.f64 (cbrt.f64 (.f64 (.f64 y y) 9))))
(.f64 (pow.f64 (sqrt.f64 (.f64 3 y)) 1/3) (pow.f64 (sqrt.f64 (*.f64 3 y)) 1/3))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 3 y))) (cbrt.f64 (sqrt.f64 (*.f64 3 y))))
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 3 y)) 1/6) 4)
(pow.f64 (*.f64 3 y) 1/3)
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 3 y)) 1))
(+.f64 (cbrt.f64 (*.f64 3 y)) 0)
(cbrt.f64 (*.f64 3 y))
(pow.f64 (cbrt.f64 (*.f64 3 y)) 1)
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 3 y)) 1))
(+.f64 (cbrt.f64 (*.f64 3 y)) 0)
(cbrt.f64 (*.f64 3 y))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 3 y))) 3)
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 3 y)) 1))
(+.f64 (cbrt.f64 (*.f64 3 y)) 0)
(cbrt.f64 (*.f64 3 y))
(pow.f64 (pow.f64 (*.f64 3 y) 1/6) 2)
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 3 y)) 1))
(+.f64 (cbrt.f64 (*.f64 3 y)) 0)
(cbrt.f64 (*.f64 3 y))
(sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 3 y) 2)))
(sqrt.f64 (cbrt.f64 (.f64 (.f64 y y) 9)))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 3 y))))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 3 y)) 1))
(+.f64 (cbrt.f64 (*.f64 3 y)) 0)
(cbrt.f64 (*.f64 3 y))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 3 y))))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 3 y)) 1))
(+.f64 (cbrt.f64 (*.f64 3 y)) 0)
(cbrt.f64 (*.f64 3 y))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 3 y))))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 3 y)) 1))
(+.f64 (cbrt.f64 (*.f64 3 y)) 0)
(cbrt.f64 (*.f64 3 y))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 3 y))))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 3 y)) 1))
(+.f64 (cbrt.f64 (*.f64 3 y)) 0)
(cbrt.f64 (*.f64 3 y))
(-.f64 (+.f64 1 (cbrt.f64 x)) 1)
(+.f64 1 (-.f64 (cbrt.f64 x) 1))
(+.f64 (cbrt.f64 x) 0)
(cbrt.f64 x)
(*.f64 (cbrt.f64 x) 1)
(+.f64 1 (-.f64 (cbrt.f64 x) 1))
(+.f64 (cbrt.f64 x) 0)
(cbrt.f64 x)
(*.f64 1 (cbrt.f64 x))
(+.f64 1 (-.f64 (cbrt.f64 x) 1))
(+.f64 (cbrt.f64 x) 0)
(cbrt.f64 x)
(*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)))
(+.f64 1 (-.f64 (cbrt.f64 x) 1))
(+.f64 (cbrt.f64 x) 0)
(cbrt.f64 x)
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (cbrt.f64 x)))
(+.f64 1 (-.f64 (cbrt.f64 x) 1))
(+.f64 (cbrt.f64 x) 0)
(cbrt.f64 x)
(*.f64 (pow.f64 x 1/6) (pow.f64 x 1/6))
(+.f64 1 (-.f64 (cbrt.f64 x) 1))
(+.f64 (cbrt.f64 x) 0)
(cbrt.f64 x)
(*.f64 (pow.f64 1 1/3) (cbrt.f64 x))
(+.f64 1 (-.f64 (cbrt.f64 x) 1))
(+.f64 (cbrt.f64 x) 0)
(cbrt.f64 x)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 1/3) (cbrt.f64 (cbrt.f64 x)))
(+.f64 1 (-.f64 (cbrt.f64 x) 1))
(+.f64 (cbrt.f64 x) 0)
(cbrt.f64 x)
(*.f64 (pow.f64 (sqrt.f64 x) 1/3) (pow.f64 (sqrt.f64 x) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(pow.f64 (pow.f64 (sqrt.f64 x) 1/6) 4)
(pow.f64 x 1/3)
(+.f64 1 (-.f64 (cbrt.f64 x) 1))
(+.f64 (cbrt.f64 x) 0)
(cbrt.f64 x)
(pow.f64 (cbrt.f64 x) 1)
(+.f64 1 (-.f64 (cbrt.f64 x) 1))
(+.f64 (cbrt.f64 x) 0)
(cbrt.f64 x)
(pow.f64 (cbrt.f64 (cbrt.f64 x)) 3)
(+.f64 1 (-.f64 (cbrt.f64 x) 1))
(+.f64 (cbrt.f64 x) 0)
(cbrt.f64 x)
(pow.f64 (pow.f64 x 1/6) 2)
(+.f64 1 (-.f64 (cbrt.f64 x) 1))
(+.f64 (cbrt.f64 x) 0)
(cbrt.f64 x)
(sqrt.f64 (pow.f64 (cbrt.f64 x) 2))
(+.f64 1 (-.f64 (cbrt.f64 x) 1))
(+.f64 (cbrt.f64 x) 0)
(cbrt.f64 x)
(log.f64 (exp.f64 (cbrt.f64 x)))
(+.f64 1 (-.f64 (cbrt.f64 x) 1))
(+.f64 (cbrt.f64 x) 0)
(cbrt.f64 x)
(expm1.f64 (log1p.f64 (cbrt.f64 x)))
(+.f64 1 (-.f64 (cbrt.f64 x) 1))
(+.f64 (cbrt.f64 x) 0)
(cbrt.f64 x)
(log1p.f64 (expm1.f64 (cbrt.f64 x)))
(+.f64 1 (-.f64 (cbrt.f64 x) 1))
(+.f64 (cbrt.f64 x) 0)
(cbrt.f64 x)
(exp.f64 (log.f64 (cbrt.f64 x)))
(+.f64 1 (-.f64 (cbrt.f64 x) 1))
(+.f64 (cbrt.f64 x) 0)
(cbrt.f64 x)
(-.f64 (+.f64 1 (cbrt.f64 (.f64 3 (.f64 y x)))) 1)
(+.f64 1 (-.f64 (cbrt.f64 (.f64 3 (.f64 y x))) 1))
(+.f64 (cbrt.f64 (.f64 3 (.f64 y x))) 0)
(cbrt.f64 (.f64 3 (.f64 y x)))
(pow.f64 (cbrt.f64 (.f64 3 (.f64 y x))) 1)
(+.f64 1 (-.f64 (cbrt.f64 (.f64 3 (.f64 y x))) 1))
(+.f64 (cbrt.f64 (.f64 3 (.f64 y x))) 0)
(cbrt.f64 (.f64 3 (.f64 y x)))
(pow.f64 (.f64 3 (.f64 y x)) 1/3)
(+.f64 1 (-.f64 (cbrt.f64 (.f64 3 (.f64 y x))) 1))
(+.f64 (cbrt.f64 (.f64 3 (.f64 y x))) 0)
(cbrt.f64 (.f64 3 (.f64 y x)))
(pow.f64 (cbrt.f64 (cbrt.f64 (.f64 3 (.f64 y x)))) 3)
(+.f64 1 (-.f64 (cbrt.f64 (.f64 3 (.f64 y x))) 1))
(+.f64 (cbrt.f64 (.f64 3 (.f64 y x))) 0)
(cbrt.f64 (.f64 3 (.f64 y x)))
(pow.f64 (sqrt.f64 (cbrt.f64 (.f64 3 (.f64 y x)))) 2)
(+.f64 1 (-.f64 (cbrt.f64 (.f64 3 (.f64 y x))) 1))
(+.f64 (cbrt.f64 (.f64 3 (.f64 y x))) 0)
(cbrt.f64 (.f64 3 (.f64 y x)))
(sqrt.f64 (cbrt.f64 (pow.f64 (.f64 3 (.f64 y x)) 2)))
(log.f64 (exp.f64 (cbrt.f64 (.f64 3 (.f64 y x)))))
(+.f64 1 (-.f64 (cbrt.f64 (.f64 3 (.f64 y x))) 1))
(+.f64 (cbrt.f64 (.f64 3 (.f64 y x))) 0)
(cbrt.f64 (.f64 3 (.f64 y x)))
(cbrt.f64 (.f64 3 (.f64 y x)))
(+.f64 1 (-.f64 (cbrt.f64 (.f64 3 (.f64 y x))) 1))
(+.f64 (cbrt.f64 (.f64 3 (.f64 y x))) 0)
(expm1.f64 (log1p.f64 (cbrt.f64 (.f64 3 (.f64 y x)))))
(+.f64 1 (-.f64 (cbrt.f64 (.f64 3 (.f64 y x))) 1))
(+.f64 (cbrt.f64 (.f64 3 (.f64 y x))) 0)
(cbrt.f64 (.f64 3 (.f64 y x)))
(log1p.f64 (expm1.f64 (cbrt.f64 (.f64 3 (.f64 y x)))))
(+.f64 1 (-.f64 (cbrt.f64 (.f64 3 (.f64 y x))) 1))
(+.f64 (cbrt.f64 (.f64 3 (.f64 y x))) 0)
(cbrt.f64 (.f64 3 (.f64 y x)))
(exp.f64 (log.f64 (cbrt.f64 (.f64 3 (.f64 y x)))))
(+.f64 1 (-.f64 (cbrt.f64 (.f64 3 (.f64 y x))) 1))
(+.f64 (cbrt.f64 (.f64 3 (.f64 y x))) 0)
(cbrt.f64 (.f64 3 (.f64 y x)))

eval38.0ms (1.7%)

Compiler: Compiled 2003 to 1282 computations (36% saved)

prune26.0ms (1.2%)

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	144	0	144
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	144	6	150

Error

Counts

150 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.7b	(-.f64 (pow.f64 (.f64 (cbrt.f64 (.f64 3 y)) (cbrt.f64 x)) 3) z)
✓	0.5b	(-.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 3 y))) 3) z)
✓	32.4b	(-.f64 (.f64 (.f64 (*.f64 3 y) (sqrt.f64 x)) (sqrt.f64 x)) z)
✓	0.1b	(-.f64 (.f64 (.f64 x 3) y) z)
✓	0.1b	(-.f64 (.f64 x (.f64 3 y)) z)
✓	0.1b	(-.f64 (.f64 3 (.f64 y x)) z)

Compiler

Compiled 71 to 51 computations (28.2% saved)

regimes79.0ms (3.6%)

Accuracy

Total -32.6b remaining (-27813.2%)

Threshold costs -32.6b (-27813.2%)

Counts

6 → 1

Calls

Call 1

Inputs
(-.f64 (.f64 3 (.f64 y x)) z)
(-.f64 (.f64 x (.f64 3 y)) z)
(-.f64 (.f64 (.f64 x 3) y) z)
(-.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 3 y))) 3) z)
(-.f64 (.f64 (.f64 (*.f64 3 y) (sqrt.f64 x)) (sqrt.f64 x)) z)
(-.f64 (pow.f64 (.f64 (cbrt.f64 (.f64 3 y)) (cbrt.f64 x)) 3) z)

Outputs
(-.f64 (.f64 x (.f64 3 y)) z)

Calls

6 calls:

34.0ms	(*.f64 x 3)
25.0ms	y
5.0ms	(-.f64 (.f64 (.f64 x 3) y) z)
5.0ms	x
4.0ms	z

Results

Error	Segments	Branch
0.1b	1	`x`
0.1b	1	`y`
0.1b	1	`z`
0.1b	1	`(-.f64 (.f64 (.f64 x 3) y) z)`
0.1b	1	`(.f64 (.f64 x 3) y)`
0.1b	1	`(*.f64 x 3)`

Compiler

Compiled 92 to 63 computations (31.5% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64`
3×	`+-commutative_binary64`
3×	`sub-neg_binary64`
1×	`neg-sub0_binary64`
1×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	20
1	18	20
2	24	20
3	26	20
4	27	20

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(-.f64 (.f64 x (.f64 3 y)) z)
(-.f64 (.f64 3 (.f64 y x)) z)

Outputs
(-.f64 (.f64 x (.f64 3 y)) z)
(-.f64 (.f64 3 (.f64 y x)) z)
(-.f64 (.f64 3 (.f64 x y)) z)

Compiler

Compiled 20 to 14 computations (30% saved)

soundness34.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

192×	`fma-def_binary64`
125×	`fma-neg_binary64`
44×	`distribute-rgt-neg-in_binary64`
37×	`cancel-sign-sub-inv_binary64`
27×	`unsub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	15	10
2	29	10
3	42	10
4	76	10
5	133	10
6	246	10
7	422	10
8	579	10
9	698	10
10	748	10
11	750	10

Stop Event

1×

saturated

Compiler

Compiled 20 to 14 computations (30% saved)

end25.0ms (1.2%)

Compiler: Compiled 17 to 11 computations (35.3% saved)

Iter	Nodes	Cost
0	8	10
1	15	10
2	29	10
3	42	10
4	76	10
5	133	10
6	246	10
7	422	10
8	579	10
9	698	10
10	748	10
11	750	10

Iter	Nodes	Cost
0	8	10
1	15	10
2	29	10
3	42	10
4	76	10
5	133	10
6	246	10
7	422	10
8	579	10
9	698	10
10	748	10
11	750	10

Iter	Nodes	Cost
0	8	10
1	15	10
2	29	10
3	42	10
4	76	10
5	133	10
6	246	10
7	422	10
8	579	10
9	698	10
10	748	10
11	750	10

Iter	Nodes	Cost
0	8	10
1	15	10
2	29	10
3	42	10
4	76	10
5	133	10
6	246	10
7	422	10
8	579	10
9	698	10
10	748	10
11	750	10

Details

analyze215.0ms (9.9%)

sample872.0ms (40.2%)

preprocess50.0ms (2.3%)

simplify20.0ms (0.9%)

eval1.0ms (0%)

prune8.0ms (0.4%)

localize8.0ms (0.4%)

series4.0ms (0.2%)

rewrite35.0ms (1.6%)

simplify45.0ms (2.1%)

localize8.0ms (0.4%)

series1.0ms (0.1%)

rewrite40.0ms (1.8%)

simplify43.0ms (2%)

eval5.0ms (0.2%)

prune4.0ms (0.2%)

localize8.0ms (0.4%)

series1.0ms (0.1%)

rewrite36.0ms (1.7%)

simplify39.0ms (1.8%)

localize16.0ms (0.8%)

series12.0ms (0.6%)

rewrite47.0ms (2.2%)

simplify84.0ms (3.9%)

eval26.0ms (1.2%)

prune24.0ms (1.1%)

localize12.0ms (0.6%)

series33.0ms (1.5%)

rewrite45.0ms (2.1%)

simplify51.0ms (2.4%)

localize17.0ms (0.8%)

series22.0ms (1%)

rewrite58.0ms (2.7%)

simplify73.0ms (3.3%)

eval38.0ms (1.7%)

prune26.0ms (1.2%)

regimes79.0ms (3.6%)

simplify3.0ms (0.1%)

soundness34.0ms (1.6%)

end25.0ms (1.2%)

Profiling

Iter	Nodes	Cost
0	8	10
1	15	10
2	29	10
3	42	10
4	76	10
5	133	10
6	246	10
7	422	10
8	579	10
9	698	10
10	748	10
11	750	10

Iter	Nodes	Cost
0	8	10
1	15	10
2	29	10
3	42	10
4	76	10
5	133	10
6	246	10
7	422	10
8	579	10
9	698	10
10	748	10
11	750	10