Metrics for Rump's expression from Stadtherr's award speech

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	0%	100%	0%	0%	0%	0
100%	0%	0%	100%	0%	0%	0%	1

Compiler

Compiled 10 to 8 computations (20% saved)

sample570.0ms (46.6%)

Results

558.0ms

8256×

body

256

valid

Bogosity

preprocess312.0ms (25.5%)

Algorithm

1×	egg-herbie

Rules

1534×	`fma-neg`
1346×	`fma-def`
1202×	`unswap-sqr`
1022×	`cancel-sign-sub-inv`
770×	`*-commutative`

Problems

256×

No Errors

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	36	163
1	89	152
2	252	146
3	842	144
4	3420	144
5	7344	144

Stop Event

1×	node limit

Calls

Call 1

Inputs
(+.f64 (+.f64 (+.f64 (.f64 1335/4 (pow.f64 y 6)) (.f64 (.f64 x x) (-.f64 (-.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 11 x) x) y) y) (pow.f64 y 6)) (.f64 121 (pow.f64 y 4))) 2))) (.f64 11/2 (pow.f64 y 8))) (/.f64 x (.f64 2 y)))
-54767/66192
-54767/66192
-54767/66192
-54767/66192

Outputs
(+.f64 (+.f64 (+.f64 (.f64 1335/4 (pow.f64 y 6)) (.f64 (.f64 x x) (-.f64 (-.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 11 x) x) y) y) (pow.f64 y 6)) (.f64 121 (pow.f64 y 4))) 2))) (.f64 11/2 (pow.f64 y 8))) (/.f64 x (.f64 2 y)))
(+.f64 (fma.f64 1335/4 (pow.f64 y 6) (.f64 (.f64 x x) (-.f64 (-.f64 (.f64 y (.f64 y (.f64 x (.f64 x 11)))) (pow.f64 y 6)) (+.f64 (.f64 121 (pow.f64 y 4)) 2)))) (+.f64 (.f64 11/2 (pow.f64 y 8)) (/.f64 x (*.f64 y 2))))
(+.f64 (fma.f64 x (.f64 x (-.f64 (.f64 x (.f64 (.f64 x 11) (pow.f64 y 2))) (+.f64 (pow.f64 y 6) (fma.f64 121 (pow.f64 y 4) 2)))) (.f64 1335/4 (pow.f64 y 6))) (fma.f64 11/2 (pow.f64 y 8) (/.f64 x (.f64 y 2))))
(fma.f64 1335/4 (pow.f64 y 6) (fma.f64 (.f64 x x) (fma.f64 11 (.f64 x (*.f64 x (pow.f64 y 2))) (fma.f64 -1 (pow.f64 y 6) (fma.f64 (pow.f64 y 4) -121 -2))) (fma.f64 11/2 (pow.f64 y 8) (/.f64 (/.f64 x 2) y))))
(fma.f64 1335/4 (pow.f64 y 6) (fma.f64 (.f64 x x) (-.f64 (fma.f64 (.f64 x x) (.f64 11 (pow.f64 y 2)) (fma.f64 (pow.f64 y 4) -121 -2)) (pow.f64 y 6)) (fma.f64 11/2 (pow.f64 y 8) (/.f64 x (.f64 y 2)))))
(fma.f64 (.f64 x x) (-.f64 (fma.f64 (.f64 x x) (*.f64 11 (pow.f64 y 2)) -2) (fma.f64 121 (pow.f64 y 4) (pow.f64 y 6))) (fma.f64 1335/4 (pow.f64 y 6) (fma.f64 11/2 (pow.f64 y 8) (/.f64 (/.f64 x 2) y))))
-54767/66192
-54767/66192
-54767/66192
-54767/66192

Symmetry

(abs x)

(abs y)

(sort x y)

Compiler

Compiled 306 to 211 computations (31% saved)

eval4.0ms (0.4%)

Compiler: Compiled 199 to 138 computations (30.7% saved)

prune2.0ms (0.2%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	1.4%	(+.f64 (+.f64 (+.f64 (.f64 1335/4 (pow.f64 y 6)) (.f64 (.f64 x x) (-.f64 (-.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 11 x) x) y) y) (pow.f64 y 6)) (.f64 121 (pow.f64 y 4))) 2))) (.f64 11/2 (pow.f64 y 8))) (/.f64 x (.f64 2 y)))
▶	1.4%	(+.f64 (+.f64 (+.f64 (.f64 1335/4 (pow.f64 y 6)) (.f64 (.f64 x x) (-.f64 (-.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 11 x) x) y) y) (pow.f64 y 6)) (.f64 121 (pow.f64 y 4))) 2))) (.f64 11/2 (pow.f64 y 8))) (/.f64 x (.f64 2 y)))

Status

Accuracy

Program

▶

1.4%

(+.f64 (+.f64 (+.f64 (*.f64 1335/4 (pow.f64 y 6)) (*.f64 (*.f64 x x) (-.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 11 x) x) y) y) (pow.f64 y 6)) (*.f64 121 (pow.f64 y 4))) 2))) (*.f64 11/2 (pow.f64 y 8))) (/.f64 x (*.f64 2 y)))

▶

1.4%

(+.f64 (+.f64 (+.f64 (*.f64 1335/4 (pow.f64 y 6)) (*.f64 (*.f64 x x) (-.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 11 x) x) y) y) (pow.f64 y 6)) (*.f64 121 (pow.f64 y 4))) 2))) (*.f64 11/2 (pow.f64 y 8))) (/.f64 x (*.f64 2 y)))

Compiler

Compiled 90 to 66 computations (26.7% saved)

localize270.0ms (22.1%)

Compiler: Compiled 261 to 178 computations (31.8% saved)

eval0.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

prune2.0ms (0.2%)

Pruning

1 alts after pruning (0 fresh and 1 done)

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

Accuracy

1.4%

Counts

1 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	1.4%	(+.f64 (+.f64 (+.f64 (.f64 1335/4 (pow.f64 y 6)) (.f64 (.f64 x x) (-.f64 (-.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 11 x) x) y) y) (pow.f64 y 6)) (.f64 121 (pow.f64 y 4))) 2))) (.f64 11/2 (pow.f64 y 8))) (/.f64 x (.f64 2 y)))

Status

Accuracy

Program

✓

1.4%

(+.f64 (+.f64 (+.f64 (*.f64 1335/4 (pow.f64 y 6)) (*.f64 (*.f64 x x) (-.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 11 x) x) y) y) (pow.f64 y 6)) (*.f64 121 (pow.f64 y 4))) 2))) (*.f64 11/2 (pow.f64 y 8))) (/.f64 x (*.f64 2 y)))

Compiler

Compiled 90 to 66 computations (26.7% saved)

simplify4.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

28×	`*-commutative`
22×	`+-commutative`
16×	`sub-neg`
10×	`neg-mul-1`
10×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	163
1	57	163
2	75	163
3	85	163
4	91	163
5	92	163

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs

(+.f64 (+.f64 (+.f64 (*.f64 1335/4 (pow.f64 y 6)) (*.f64 (*.f64 x x) (-.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 11 x) x) y) y) (pow.f64 y 6)) (*.f64 121 (pow.f64 y 4))) 2))) (*.f64 11/2 (pow.f64 y 8))) (/.f64 x (*.f64 2 y)))

Outputs

(+.f64 (+.f64 (+.f64 (*.f64 1335/4 (pow.f64 y 6)) (*.f64 (*.f64 x x) (-.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 11 x) x) y) y) (pow.f64 y 6)) (*.f64 121 (pow.f64 y 4))) 2))) (*.f64 11/2 (pow.f64 y 8))) (/.f64 x (*.f64 2 y)))

(+.f64 (+.f64 (+.f64 (*.f64 1335/4 (pow.f64 y 6)) (*.f64 (*.f64 x x) (-.f64 (-.f64 (-.f64 (*.f64 y (*.f64 y (*.f64 x (*.f64 x 11)))) (pow.f64 y 6)) (*.f64 121 (pow.f64 y 4))) 2))) (*.f64 11/2 (pow.f64 y 8))) (/.f64 x (*.f64 y 2)))

Compiler

Compiled 45 to 33 computations (26.7% saved)

soundness0.0ms (0%)

end0.0ms (0%)

preprocess56.0ms (4.6%)

Remove

(sort x y)

(abs y)

(abs x)

Compiler

Compiled 450 to 330 computations (26.7% saved)

analyze0.0ms (0%)

sample570.0ms (46.6%)

preprocess312.0ms (25.5%)

eval4.0ms (0.4%)

prune2.0ms (0.2%)

localize270.0ms (22.1%)

eval0.0ms (0%)

prune2.0ms (0.2%)

simplify4.0ms (0.4%)

soundness0.0ms (0%)

end0.0ms (0%)

preprocess56.0ms (4.6%)

Profiling