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)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

Operation ival-and, time spent: 0.0ms, 0.0% of total-time

Operation ival-==, time spent: 0.0ms, 0.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

sample738.0ms (31.6%)

Results

673.0ms	8255×	0	valid
0.0ms	1×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 140.0ms

Operation ival-==, time spent: 96.0ms, 68.0% of total-time

Operation const, time spent: 28.0ms, 20.0% of total-time

Operation ival-and, time spent: 16.0ms, 11.0% of total-time

Bogosity

preprocess1.1s (45.4%)

Algorithm

1×	egg-herbie

Rules

1780×	`fma-neg`
1182×	`unswap-sqr`
1022×	`cancel-sign-sub-inv`
1014×	`fma-define`
748×	`*-commutative`

FPErrors

Click to see full error table

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	39	165
1	91	154
2	253	148
3	848	146
4	3390	146
5	7292	146

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

Symmetry

(abs x)

(abs y)

(sort x y)

Compiler

Compiled 567 to 389 computations (31.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 620.0ms

Operation ival-mult, time spent: 315.0ms, 51.0% of total-time

Operation ival-pow, time spent: 133.0ms, 21.0% of total-time

Operation ival-sub, time spent: 93.0ms, 15.0% of total-time

Operation ival-add, time spent: 37.0ms, 6.0% of total-time

Operation const, time spent: 33.0ms, 5.0% of total-time

Operation ival-div, time spent: 9.0ms, 1.0% of total-time

eval4.0ms (0.2%)

Compiler: Compiled 199 to 141 computations (29.1% saved)

prune2.0ms (0.1%)

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 45 to 33 computations (26.7% saved)

localize436.0ms (18.7%)

Compiler: Compiled 261 to 178 computations (31.8% saved)
Precisions: Click to see histograms. Total time spent on operations: 335.0ms
Operation ival-sub, time spent: 126.0ms, 38.0% of total-time
Operation ival-mult, time spent: 109.0ms, 33.0% of total-time
Operation ival-pow, time spent: 65.0ms, 19.0% of total-time
Operation const, time spent: 15.0ms, 4.0% of total-time
Operation ival-add, time spent: 15.0ms, 4.0% of total-time
Operation ival-div, time spent: 4.0ms, 1.0% of total-time

eval0.0ms (0%)

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

prune2.0ms (0.1%)

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)

simplify5.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

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%)

preprocess90.0ms (3.8%)

Remove

(sort x y)

(abs y)

(abs x)

Compiler

Compiled 720 to 528 computations (26.7% saved)

analyze0.0ms (0%)

sample738.0ms (31.6%)

preprocess1.1s (45.4%)

eval4.0ms (0.2%)

prune2.0ms (0.1%)

localize436.0ms (18.7%)

eval0.0ms (0%)

prune2.0ms (0.1%)

simplify5.0ms (0.2%)

soundness0.0ms (0%)

end0.0ms (0%)

preprocess90.0ms (3.8%)

Profiling