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

analyze1.0ms (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

sample729.0ms (30.5%)

Results

665.0ms	8255×	256	valid
0.0ms	1×	256	valid

Precisions

Click to see histograms. Total time spent on operations: 123.0ms

Operation ival-==, time spent: 95.0ms, 77.0% of total-time

Operation const, time spent: 17.0ms, 14.0% of total-time

Operation ival-and, time spent: 11.0ms, 9.0% of total-time

Bogosity

preprocess966.0ms (40.4%)

Algorithm

1×	egg-herbie

Rules

1486×	`unsub-neg`
1416×	`sub-neg`
1270×	`fma-neg`
694×	`distribute-lft-neg-in`
690×	`distribute-lft-in`

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	82	157
2	207	151
3	600	149
4	1883	149
5	3588	149
6	5925	149
7	7926	149

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 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 (/.f64 x 2) y)))
(+.f64 (fma.f64 1335/4 (pow.f64 y 6) (fma.f64 (.f64 x x) (-.f64 (-.f64 (.f64 y (.f64 y (.f64 x (.f64 x 11)))) (pow.f64 y 6)) (fma.f64 121 (pow.f64 y 4) 2)) (.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 y (.f64 x (.f64 x (.f64 y 11))) (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 x (.f64 x (-.f64 (fma.f64 (.f64 x x) (.f64 y (.f64 y 11)) (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 (-.f64 (fma.f64 (.f64 x x) (.f64 y (.f64 y 11)) -2) (fma.f64 121 (pow.f64 y 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 x (.f64 x (-.f64 (fma.f64 (.f64 x x) (.f64 y (.f64 y 11)) -2) (fma.f64 121 (pow.f64 y 4) (pow.f64 y 6)))) (fma.f64 11/2 (pow.f64 y 8) (*.f64 (/.f64 x y) 1/2))))
-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: 492.0ms

Operation ival-pow, time spent: 209.0ms, 43.0% of total-time

Operation ival-mult, time spent: 191.0ms, 39.0% of total-time

Operation ival-sub, time spent: 49.0ms, 10.0% of total-time

Operation const, time spent: 17.0ms, 3.0% of total-time

Operation ival-add, time spent: 14.0ms, 3.0% of total-time

Operation ival-div, time spent: 11.0ms, 2.0% of total-time

eval4.0ms (0.2%)

Compiler: Compiled 237 to 161 computations (32.1% 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)

localize607.0ms (25.4%)

Compiler: Compiled 261 to 178 computations (31.8% saved)
Precisions: Click to see histograms. Total time spent on operations: 498.0ms
Operation ival-mult, time spent: 389.0ms, 78.0% of total-time
Operation ival-pow, time spent: 64.0ms, 13.0% of total-time
Operation ival-sub, time spent: 24.0ms, 5.0% of total-time
Operation const, time spent: 9.0ms, 2.0% of total-time
Operation ival-add, time spent: 8.0ms, 2.0% 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%)

preprocess75.0ms (3.2%)

Remove

(sort x y)

(abs y)

(abs x)

Compiler

Compiled 720 to 528 computations (26.7% saved)

analyze1.0ms (0%)

sample729.0ms (30.5%)

preprocess966.0ms (40.4%)

eval4.0ms (0.2%)

prune2.0ms (0.1%)

localize607.0ms (25.4%)

eval0.0ms (0%)

prune2.0ms (0.1%)

simplify5.0ms (0.2%)

soundness0.0ms (0%)

end0.0ms (0%)

preprocess75.0ms (3.2%)

Profiling