Details

analyze171.0ms (8.8%)

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)

sample791.0ms (40.5%)

Results

744.0ms	8256×	body	256	valid
34.0ms	402×	body	256	infinite

Bogosity

preprocess50.0ms (2.6%)

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 (1%)

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)

eval0.0ms (0%)

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

prune1.0ms (0.1%)

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

0.1b

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	x	@	inf	(.f64 x (.f64 3 y))
1.0ms	y	@	0	(.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	x	@	-inf	(.f64 x (.f64 3 y))

rewrite37.0ms (1.9%)

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))))))))

simplify43.0ms (2.2%)

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)

rewrite35.0ms (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))))))))

simplify41.0ms (2.1%)

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 (0.3%)

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

prune5.0ms (0.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	22	3	25
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	22	5	27

Error

0.0b

Counts

27 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	28.6b	(-.f64 (pow.f64 (sqrt.f64 (.f64 x (.f64 3 y))) 2) z)
▶	0.6b	(-.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 56 to 41 computations (26.8% saved)

localize7.0ms (0.4%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(.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	x	@	-inf	(.f64 3 (.f64 y x))
0.0ms	y	@	-inf	(.f64 3 (.f64 y x))
0.0ms	x	@	inf	(.f64 3 (.f64 y x))

rewrite36.0ms (1.9%)

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))))))))

simplify35.0ms (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))
✓	0.5b	(pow.f64 (cbrt.f64 (.f64 x (.f64 3 y))) 3)
✓	9.1b	(cbrt.f64 (.f64 x (.f64 3 y)))

Compiler

Compiled 39 to 26 computations (33.3% saved)

series11.0ms (0.6%)

Counts

2 → 0

Calls

12 calls:

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

rewrite45.0ms (2.3%)

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))))))))

simplify45.0ms (2.3%)

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))

localize17.0ms (0.9%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(pow.f64 (sqrt.f64 (.f64 x (.f64 3 y))) 2)
	0.2b	(.f64 x (.f64 3 y))
✓	8.8b	(sqrt.f64 (.f64 x (.f64 3 y)))

Compiler

Compiled 40 to 27 computations (32.5% saved)

series12.0ms (0.6%)

Counts

2 → 0

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	y	@	inf	(pow.f64 (sqrt.f64 (.f64 x (.f64 3 y))) 2)
2.0ms	y	@	0	(sqrt.f64 (.f64 x (.f64 3 y)))
1.0ms	x	@	0	(sqrt.f64 (.f64 x (.f64 3 y)))
1.0ms	x	@	-inf	(pow.f64 (sqrt.f64 (.f64 x (.f64 3 y))) 2)
1.0ms	x	@	0	(pow.f64 (sqrt.f64 (.f64 x (.f64 3 y))) 2)

rewrite50.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

697×	`pow1_binary64`
646×	`add-log-exp_binary64`
645×	`log1p-expm1-u_binary64`
645×	`expm1-log1p-u_binary64`
632×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	16
1	187	16
2	1840	16

Stop Event

1×	node limit

Counts

2 → 61

Calls

Call 1

Inputs
(sqrt.f64 (.f64 x (.f64 3 y)))
(pow.f64 (sqrt.f64 (.f64 x (.f64 3 y))) 2)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (*.f64 x (*.f64 3 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (*.f64 3 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 x (*.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))) (cbrt.f64 (sqrt.f64 (*.f64 x (*.f64 3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (*.f64 3 y)))) (cbrt.f64 (*.f64 x (*.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 3 y)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 1/4) (pow.f64 (*.f64 x (*.f64 3 y)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x 3)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 x (*.f64 3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 x (*.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x 3) 1/2) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 3 y)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (*.f64 3 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (*.f64 3 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 x (*.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 x (*.f64 3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 x (*.f64 3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 x (*.f64 3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.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 (sqrt.f64 (*.f64 x (*.f64 3 y))) (sqrt.f64 (*.f64 x (*.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (*.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 9 (*.f64 y y))) (*.f64 (cbrt.f64 (*.f64 3 y)) x))))) (#(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 (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 (cbrt.f64 (*.f64 x (*.f64 3 y))) (*.f64 (cbrt.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 (cbrt.f64 (*.f64 x (*.f64 3 y))) 2) (cbrt.f64 (*.f64 x (*.f64 3 y))))))) (#(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 x) (*.f64 (sqrt.f64 (*.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)) 1/4) (*.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 1/4) (sqrt.f64 (*.f64 x (*.f64 3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 3) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 x (*.f64 3 y))) (pow.f64 (*.f64 x (*.f64 3 y)) 1/4)) (pow.f64 (*.f64 x (*.f64 3 y)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x y) 3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (cbrt.f64 (*.f64 9 (*.f64 y y)))) (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 (sqrt.f64 (*.f64 x (*.f64 3 y))) (cbrt.f64 (*.f64 x (*.f64 3 y)))) (cbrt.f64 (sqrt.f64 (*.f64 x (*.f64 3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 x (*.f64 3 y))) (sqrt.f64 x)) (sqrt.f64 (*.f64 3 y)))))) (#(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) (cbrt.f64 (*.f64 y y))) (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 (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 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))))))))

simplify52.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

620×	`distribute-rgt-in_binary64`
594×	`distribute-lft-in_binary64`
552×	`fma-def_binary64`
464×	`unswap-sqr_binary64`
358×	`log-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	134	861
1	290	705
2	1013	549
3	3513	549

Stop Event

1×	node limit

Counts

61 → 76

Calls

Call 1

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

eval125.0ms (6.4%)

Compiler: Compiled 2440 to 1684 computations (31% saved)

prune26.0ms (1.3%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	186	1	187
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	186	6	192

Error

Counts

192 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	28.6b	(-.f64 (pow.f64 (sqrt.f64 (.f64 x (.f64 3 y))) 2) z)
✓	0.6b	(-.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 3 y))) 3) z)
▶	28.2b	(-.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 70 to 50 computations (28.6% saved)

localize13.0ms (0.7%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 38 to 19 computations (50% saved)

series36.0ms (1.8%)

Counts

2 → 36

Calls

12 calls:

Time	Variable		Point	Expression
30.0ms	x	@	0	(.f64 (.f64 3 y) (sqrt.f64 x))
1.0ms	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))

rewrite48.0ms (2.4%)

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

Outputs

((#(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)))))))))

((#(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))))))))

simplify50.0ms (2.6%)

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	2352	531
4	7715	531

Stop Event

1×	node limit

Counts

63 → 38

Calls

Call 1

Inputs
(.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 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 (+.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)))))
(-.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))))

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

eval12.0ms (0.6%)

Compiler: Compiled 461 to 264 computations (42.7% saved)

prune8.0ms (0.4%)

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	38	0	38
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	38	6	44

Error

Counts

44 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	28.6b	(-.f64 (pow.f64 (sqrt.f64 (.f64 x (.f64 3 y))) 2) z)
✓	0.6b	(-.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 3 y))) 3) z)
✓	28.2b	(-.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 70 to 50 computations (28.6% saved)

regimes33.0ms (1.7%)

Accuracy

Total -44.3b remaining (-42012.9%)

Threshold costs -44.3b (-42012.9%)

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 (pow.f64 (sqrt.f64 (.f64 x (.f64 3 y))) 2) z)
(-.f64 (.f64 (.f64 (*.f64 3 y) (sqrt.f64 x)) (sqrt.f64 x)) z)

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

Calls

6 calls:

6.0ms	x
6.0ms	z
5.0ms	(.f64 (.f64 x 3) y)
5.0ms	(-.f64 (.f64 (.f64 x 3) y) z)
5.0ms	y

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 91 to 62 computations (31.9% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	12	10
2	17	10
3	19	10
4	20	10

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 10 to 7 computations (30% saved)

soundness35.0ms (1.8%)

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)

end13.0ms (0.7%)

Compiler: Compiled 10 to 7 computations (30% 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

analyze171.0ms (8.8%)

sample791.0ms (40.5%)

preprocess50.0ms (2.6%)

simplify20.0ms (1%)

eval0.0ms (0%)

prune1.0ms (0.1%)

localize8.0ms (0.4%)

series4.0ms (0.2%)

rewrite37.0ms (1.9%)

simplify43.0ms (2.2%)

localize8.0ms (0.4%)

series1.0ms (0.1%)

rewrite35.0ms (1.8%)

simplify41.0ms (2.1%)

eval5.0ms (0.3%)

prune5.0ms (0.2%)

localize7.0ms (0.4%)

series1.0ms (0.1%)

rewrite36.0ms (1.9%)

simplify35.0ms (1.8%)

localize16.0ms (0.8%)

series11.0ms (0.6%)

rewrite45.0ms (2.3%)

simplify45.0ms (2.3%)

localize17.0ms (0.9%)

series12.0ms (0.6%)

rewrite50.0ms (2.6%)

simplify52.0ms (2.6%)

eval125.0ms (6.4%)

prune26.0ms (1.3%)

localize13.0ms (0.7%)

series36.0ms (1.8%)

rewrite48.0ms (2.4%)

simplify50.0ms (2.6%)

eval12.0ms (0.6%)

prune8.0ms (0.4%)

regimes33.0ms (1.7%)

simplify2.0ms (0.1%)

soundness35.0ms (1.8%)

end13.0ms (0.7%)

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