Details

analyze218.0ms (10.3%)

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)

sample1.2s (55.4%)

Results

1.0s	8256×	body	256	valid
117.0ms	386×	body	256	infinite

Bogosity

preprocess58.0ms (2.8%)

Algorithm

2×	egg-herbie

Rules

538×	`fma-def`
524×	`associate-r`
426×	`associate-+l+`
354×	`associate-+r+`
326×	`associate--r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	76
1	38	76
2	73	76
3	102	76
4	189	76
5	352	76
6	707	76
7	1873	76
8	2677	76
9	2725	76
10	2728	76
11	2728	76
12	2728	76
0	3	3
1	3	3

Stop Event

1×	unsound
1×	saturated

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
0
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)
(fma.f64 (*.f64 x 3) y (neg.f64 z))
(-.f64 (.f64 3 (.f64 x y)) z)
(-.f64 (.f64 x (.f64 3 y)) z)
(fma.f64 3 (*.f64 x y) (neg.f64 z))
(-.f64 (.f64 (.f64 y 3) x) z)
(fma.f64 (*.f64 x 3) y (neg.f64 z))
(-.f64 (.f64 3 (.f64 x y)) z)
(-.f64 (.f64 x (.f64 3 y)) z)
(fma.f64 3 (*.f64 x y) (neg.f64 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 (.f64 x 3) z) y)
(-.f64 (.f64 3 (.f64 x z)) y)
(-.f64 (.f64 x (.f64 3 z)) y)

Symmetry

(sort x y)

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify33.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

358×	`fma-def`
180×	`associate-r`
154×	`associate-+r+`
120×	`associate--r+`
104×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	18	19
2	31	19
3	43	19
4	77	19
5	140	19
6	250	19
7	530	19
8	886	19
9	977	19
10	1002	19
11	1004	19

Stop Event

1×

saturated

Counts

1 → 4

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 31 to 18 computations (41.9% saved)

prune1.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	2	2	4
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	2	3	5

Error

0.0b

Counts

5 → 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)

series33.0ms (1.6%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
30.0ms	x	@	0	(.f64 x (.f64 3 y))
1.0ms	y	@	0	(.f64 x (.f64 3 y))
1.0ms	x	@	inf	(.f64 x (.f64 3 y))
1.0ms	y	@	inf	(.f64 x (.f64 3 y))
0.0ms	x	@	-inf	(.f64 x (.f64 3 y))

rewrite48.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1318×	`add-sqr-sqrt`
1304×	`*-un-lft-identity`
1210×	`add-cube-cbrt`
1194×	`add-cbrt-cube`
1180×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	141	13
2	1633	13

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

simplify44.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1342×	`distribute-rgt-in`
1330×	`distribute-lft-in`
1152×	`log-prod`
1034×	`associate-r`
912×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	455
1	91	455
2	355	455
3	2543	455

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

localize8.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

rewrite50.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1316×	`add-sqr-sqrt`
1302×	`*-un-lft-identity`
1208×	`add-cube-cbrt`
1192×	`add-cbrt-cube`
1178×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	141	13
2	1631	13

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

simplify65.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

1464×	`distribute-rgt-in`
1454×	`distribute-lft-in`
1134×	`log-prod`
1070×	`associate-r`
912×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	455
1	86	455
2	346	455
3	2592	455

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

eval5.0ms (0.2%)

Compiler: Compiled 231 to 157 computations (32% saved)

prune3.0ms (0.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	23	1	24
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	23	3	26

Error

Counts

26 → 3

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

Compiler

Compiled 30 to 21 computations (30% saved)

localize7.0ms (0.3%)

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	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))

rewrite162.0ms (7.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1318×	`add-sqr-sqrt`
1304×	`*-un-lft-identity`
1210×	`add-cube-cbrt`
1194×	`add-cbrt-cube`
1180×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	141	13
2	1633	13

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

simplify74.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

1100×	`distribute-rgt-in`
1100×	`distribute-lft-in`
1004×	`*-commutative`
886×	`log-prod`
842×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	35	275
1	92	209
2	356	143
3	2249	143
4	7020	143

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

eval3.0ms (0.1%)

Compiler: Compiled 137 to 84 computations (38.7% saved)

prune3.0ms (0.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	14	0	14
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	14	3	17

Error

Counts

17 → 3

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)
✓	0.1b	(-.f64 (.f64 3 (.f64 y x)) z)

Compiler

Compiled 30 to 21 computations (30% saved)

regimes25.0ms (1.2%)

Accuracy

Total -0.2b remaining (-184%)

Threshold costs -0.2b (-184%)

Counts

3 → 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)

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

Calls

6 calls:

5.0ms	(.f64 (.f64 x 3) y)
5.0ms	y
3.0ms	(-.f64 (.f64 (.f64 x 3) y) z)
3.0ms	(*.f64 x 3)
3.0ms	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 60 to 42 computations (30% saved)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

10×	`*-commutative`
6×	`sub-neg`
6×	`+-commutative`
2×	`neg-mul-1`
2×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	38
1	20	38
2	26	38
3	28	38
4	29	38

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)

soundness56.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

358×	`fma-def`
180×	`associate-r`
154×	`associate-+r+`
120×	`associate--r+`
104×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	18	19
2	31	19
3	43	19
4	77	19
5	140	19
6	250	19
7	530	19
8	886	19
9	977	19
10	1002	19
11	1004	19

Stop Event

1×

saturated

Compiler

Compiled 17 to 11 computations (35.3% saved)

end31.0ms (1.5%)

Compiler: Compiled 37 to 25 computations (32.4% saved)

Details

analyze218.0ms (10.3%)

sample1.2s (55.4%)

preprocess58.0ms (2.8%)

simplify33.0ms (1.6%)

eval1.0ms (0%)

prune1.0ms (0.1%)

localize8.0ms (0.4%)

series33.0ms (1.6%)

rewrite48.0ms (2.3%)

simplify44.0ms (2.1%)

localize8.0ms (0.4%)

series1.0ms (0.1%)

rewrite50.0ms (2.4%)

simplify65.0ms (3.1%)

eval5.0ms (0.2%)

prune3.0ms (0.1%)

localize7.0ms (0.3%)

series1.0ms (0.1%)

rewrite162.0ms (7.7%)

simplify74.0ms (3.5%)

eval3.0ms (0.1%)

prune3.0ms (0.1%)

regimes25.0ms (1.2%)

simplify4.0ms (0.2%)

soundness56.0ms (2.7%)

end31.0ms (1.5%)

Profiling