Metrics for fma

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 27 to 22 computations (18.5% saved)

Precisions

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

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

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

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

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

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

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

sample4.4s (70.1%)

Results

3.9s	8255×	1	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 2.6s

Operation ival-mult, time spent: 950.0ms, 36.0% of total-time

Operation ival-add, time spent: 876.0ms, 33.0% of total-time

Operation ival-<=, time spent: 388.0ms, 15.0% of total-time

Operation ival-sub, time spent: 274.0ms, 10.0% of total-time

Operation const, time spent: 109.0ms, 4.0% of total-time

Operation ival-and, time spent: 26.0ms, 1.0% of total-time

Bogosity

preprocess1.5s (23.5%)

Algorithm

1×	egg-herbie

Rules

1454×	`unsub-neg`
1146×	`sub-neg`
872×	`distribute-rgt-neg-in`
872×	`distribute-neg-in`
758×	`distribute-lft-neg-in`

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(+.f64 1 (*.f64 t 1/5000000000000000))`
-	-	`1/5000000000000000`
-	-	`(-.f64 -1 (.f64 2 (.f64 t 1/5000000000000000)))`
-	-	`(.f64 (+.f64 1 (.f64 t 1/5000000000000000)) (+.f64 1 (*.f64 t 1/5000000000000000)))`
-	-	`(+.f64 (.f64 (+.f64 1 (.f64 t 1/5000000000000000)) (+.f64 1 (.f64 t 1/5000000000000000))) (-.f64 -1 (.f64 2 (*.f64 t 1/5000000000000000))))`
-	-	`t`
-	-	`(.f64 2 (.f64 t 1/5000000000000000))`
-	-	`2`
-	-	`1`
-	-	`-1`
-	-	`(*.f64 t 1/5000000000000000)`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	24	256
1	78	196
2	274	176
3	1016	168
4	3688	148
5	5870	76
6	7001	76
7	7548	76
8	7762	76
9	7968	76

Stop Event

1×	node limit

Calls

Call 1

Inputs
(+.f64 (.f64 (+.f64 1 (.f64 t 1/5000000000000000)) (+.f64 1 (.f64 t 1/5000000000000000))) (-.f64 -1 (.f64 2 (*.f64 t 1/5000000000000000))))
(+.f64 (.f64 (+.f64 1 (.f64 t 1/5000000000000000)) (+.f64 1 (.f64 t 1/5000000000000000))) (-.f64 -1 (.f64 2 (*.f64 t 1/5000000000000000))))
(+.f64 (.f64 (+.f64 1 (.f64 (neg.f64 t) 1/5000000000000000)) (+.f64 1 (.f64 (neg.f64 t) 1/5000000000000000))) (-.f64 -1 (.f64 2 (*.f64 (neg.f64 t) 1/5000000000000000))))
(neg.f64 (+.f64 (.f64 (+.f64 1 (.f64 (neg.f64 t) 1/5000000000000000)) (+.f64 1 (.f64 (neg.f64 t) 1/5000000000000000))) (-.f64 -1 (.f64 2 (*.f64 (neg.f64 t) 1/5000000000000000)))))

Outputs
(+.f64 (.f64 (+.f64 1 (.f64 t 1/5000000000000000)) (+.f64 1 (.f64 t 1/5000000000000000))) (-.f64 -1 (.f64 2 (*.f64 t 1/5000000000000000))))
(fma.f64 (+.f64 1 (.f64 t 1/5000000000000000)) (+.f64 1 (.f64 t 1/5000000000000000)) (+.f64 -1 (.f64 -2 (.f64 t 1/5000000000000000))))
(+.f64 (fma.f64 (fma.f64 t 1/5000000000000000 1) (fma.f64 t 1/5000000000000000 1) -1) (*.f64 -1/2500000000000000 t))
(fma.f64 (fma.f64 t 1/5000000000000000 1) (fma.f64 t 1/5000000000000000 1) (fma.f64 -1/2500000000000000 t -1))
(fma.f64 (.f64 t 1/5000000000000000) (+.f64 (.f64 t 1/5000000000000000) 2) (*.f64 t -1/2500000000000000))
(.f64 t (+.f64 -1/5000000000000000 (+.f64 1/2500000000000000 (+.f64 -1/5000000000000000 (.f64 t 1/25000000000000000000000000000000)))))
(.f64 t (.f64 t 1/25000000000000000000000000000000))
(+.f64 (.f64 (+.f64 1 (.f64 t 1/5000000000000000)) (+.f64 1 (.f64 t 1/5000000000000000))) (-.f64 -1 (.f64 2 (*.f64 t 1/5000000000000000))))
(fma.f64 (+.f64 1 (.f64 t 1/5000000000000000)) (+.f64 1 (.f64 t 1/5000000000000000)) (+.f64 -1 (.f64 -2 (.f64 t 1/5000000000000000))))
(+.f64 (fma.f64 (fma.f64 t 1/5000000000000000 1) (fma.f64 t 1/5000000000000000 1) -1) (*.f64 -1/2500000000000000 t))
(fma.f64 (fma.f64 t 1/5000000000000000 1) (fma.f64 t 1/5000000000000000 1) (fma.f64 -1/2500000000000000 t -1))
(fma.f64 (.f64 t 1/5000000000000000) (+.f64 (.f64 t 1/5000000000000000) 2) (*.f64 t -1/2500000000000000))
(.f64 t (+.f64 -1/5000000000000000 (+.f64 1/2500000000000000 (+.f64 -1/5000000000000000 (.f64 t 1/25000000000000000000000000000000)))))
(.f64 t (.f64 t 1/25000000000000000000000000000000))
(+.f64 (.f64 (+.f64 1 (.f64 (neg.f64 t) 1/5000000000000000)) (+.f64 1 (.f64 (neg.f64 t) 1/5000000000000000))) (-.f64 -1 (.f64 2 (*.f64 (neg.f64 t) 1/5000000000000000))))
(fma.f64 (+.f64 1 (.f64 t 1/5000000000000000)) (+.f64 1 (.f64 t 1/5000000000000000)) (+.f64 -1 (.f64 -2 (.f64 t 1/5000000000000000))))
(+.f64 (fma.f64 (fma.f64 t 1/5000000000000000 1) (fma.f64 t 1/5000000000000000 1) -1) (*.f64 -1/2500000000000000 t))
(fma.f64 (fma.f64 t 1/5000000000000000 1) (fma.f64 t 1/5000000000000000 1) (fma.f64 -1/2500000000000000 t -1))
(fma.f64 (.f64 t 1/5000000000000000) (+.f64 (.f64 t 1/5000000000000000) 2) (*.f64 t -1/2500000000000000))
(.f64 t (+.f64 -1/5000000000000000 (+.f64 1/2500000000000000 (+.f64 -1/5000000000000000 (.f64 t 1/25000000000000000000000000000000)))))
(.f64 t (.f64 t 1/25000000000000000000000000000000))
(neg.f64 (+.f64 (.f64 (+.f64 1 (.f64 (neg.f64 t) 1/5000000000000000)) (+.f64 1 (.f64 (neg.f64 t) 1/5000000000000000))) (-.f64 -1 (.f64 2 (*.f64 (neg.f64 t) 1/5000000000000000)))))
(neg.f64 (fma.f64 (+.f64 1 (.f64 1/5000000000000000 (neg.f64 t))) (+.f64 1 (.f64 1/5000000000000000 (neg.f64 t))) (+.f64 -1 (.f64 -2 (.f64 1/5000000000000000 (neg.f64 t))))))
(neg.f64 (+.f64 (fma.f64 (+.f64 1 (.f64 t -1/5000000000000000)) (+.f64 1 (.f64 t -1/5000000000000000)) -1) (*.f64 t 1/2500000000000000)))
(-.f64 (+.f64 1 (.f64 t -1/2500000000000000)) (.f64 (fma.f64 t -1/5000000000000000 1) (fma.f64 t -1/5000000000000000 1)))
(fma.f64 (fma.f64 t -1/5000000000000000 1) (fma.f64 t 1/5000000000000000 -1) (fma.f64 t -1/2500000000000000 1))
(.f64 t (+.f64 (+.f64 (+.f64 1/5000000000000000 (.f64 t -1/25000000000000000000000000000000)) -1/2500000000000000) 1/5000000000000000))
(.f64 t (.f64 t -1/25000000000000000000000000000000))

Symmetry

(abs t)

Compiler

Compiled 134 to 111 computations (17.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 988.0ms

Operation ival-mult, time spent: 390.0ms, 39.0% of total-time

Operation ival-add, time spent: 361.0ms, 37.0% of total-time

Operation ival-sub, time spent: 181.0ms, 18.0% of total-time

Operation const, time spent: 56.0ms, 6.0% of total-time

eval2.0ms (0%)

Compiler: Compiled 74 to 58 computations (21.6% saved)

prune3.0ms (0.1%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.3%	(.f64 t (.f64 t 1/25000000000000000000000000000000))

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize99.0ms (1.6%)

Compiler: Compiled 12 to 8 computations (33.3% saved)
Precisions: Click to see histograms. Total time spent on operations: 48.0ms
Operation ival-mult, time spent: 43.0ms, 89.0% of total-time
Operation const, time spent: 6.0ms, 12.0% of total-time

eval0.0ms (0%)

Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

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

99.3%

Counts

1 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.3%	(.f64 t (.f64 t 1/25000000000000000000000000000000))

Compiler

Compiled 31 to 24 computations (22.6% saved)

regimes8.0ms (0.1%)

Accuracy

Total -61.4b remaining (-14424.7%)

Threshold costs -61.4b (-14424.7%)

Counts

2 → 1

Calls

Call 1

Inputs
(.f64 t (.f64 t 1/25000000000000000000000000000000))
(+.f64 (.f64 (+.f64 1 (.f64 t 1/5000000000000000)) (+.f64 1 (.f64 t 1/5000000000000000))) (-.f64 -1 (.f64 2 (*.f64 t 1/5000000000000000))))

Outputs
(.f64 t (.f64 t 1/25000000000000000000000000000000))

Calls

3 calls:

3.0ms	(*.f64 t 1/5000000000000000)
3.0ms	t
2.0ms	(+.f64 (.f64 (+.f64 1 (.f64 t 1/5000000000000000)) (+.f64 1 (.f64 t 1/5000000000000000))) (-.f64 -1 (.f64 2 (*.f64 t 1/5000000000000000))))

Results

Accuracy	Segments	Branch
99.3%	1	`t`
99.3%	1	`(+.f64 (.f64 (+.f64 1 (.f64 t 1/5000000000000000)) (+.f64 1 (.f64 t 1/5000000000000000))) (-.f64 -1 (.f64 2 (*.f64 t 1/5000000000000000))))`
99.3%	1	`(*.f64 t 1/5000000000000000)`

Compiler

Compiled 26 to 21 computations (19.2% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	10	19

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(.f64 t (.f64 t 1/25000000000000000000000000000000))

Outputs
(.f64 t (.f64 t 1/25000000000000000000000000000000))

Compiler

Compiled 6 to 4 computations (33.3% saved)

soundness241.0ms (3.9%)

Rules

1454×	`unsub-neg`
1146×	`sub-neg`
872×	`distribute-rgt-neg-in`
872×	`distribute-neg-in`
758×	`distribute-lft-neg-in`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	24	256
1	78	196
2	274	176
3	1016	168
4	3688	148
5	5870	76
6	7001	76
7	7548	76
8	7762	76
9	7968	76

Stop Event

1×	node limit

end0.0ms (0%)

preprocess39.0ms (0.6%)

Remove: (abs t)
Compiler: Compiled 114 to 90 computations (21.1% saved)

fma_test1

analyze0.0ms (0%)

sample4.4s (70.1%)

preprocess1.5s (23.5%)

eval2.0ms (0%)

prune3.0ms (0.1%)

localize99.0ms (1.6%)

eval0.0ms (0%)

prune1.0ms (0%)

regimes8.0ms (0.1%)

simplify2.0ms (0%)

soundness241.0ms (3.9%)

end0.0ms (0%)

preprocess39.0ms (0.6%)

Profiling