Metrics for FastMath test3

analyze2.0ms (0.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 15 to 10 computations (33.3% 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-mult, time spent: 0.0ms, 0.0% of total-time

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

sample1.6s (62.8%)

Results

896.0ms	6350×	0	valid
229.0ms	1761×	0	infinite
163.0ms	293×	5	exit
29.0ms	80×	3	valid
16.0ms	30×	4	valid
8.0ms	28×	2	valid
1.0ms	6×	1	valid
0.0ms	1×	0	infinite

Precisions

Click to see histograms. Total time spent on operations: 619.0ms

Operation ival-add, time spent: 337.0ms, 54.0% of total-time

Operation ival-mult, time spent: 260.0ms, 42.0% of total-time

Operation const, time spent: 23.0ms, 4.0% of total-time

Bogosity

preprocess421.0ms (16.8%)

Algorithm

1×	egg-herbie

Rules

3750×	`fma-def`
552×	`unsub-neg`
450×	`sub-neg`
348×	`cancel-sign-sub`
326×	`distribute-lft-out`

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
7	-	-	`(+.f64 (+.f64 (.f64 d1 3) (.f64 d1 d2)) (*.f64 d1 d3))`
0	-	-	`d3`
0	-	-	`d1`
0	-	-	`d2`
0	-	-	`(*.f64 d1 d3)`
0	-	-	`(+.f64 (.f64 d1 3) (.f64 d1 d2))`
0	-	-	`(*.f64 d1 d2)`
0	-	-	`(*.f64 d1 3)`
0	-	-	`3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	44	439
1	134	328
2	419	314
3	1282	308
4	3223	308
5	4018	308
6	4272	308
7	4294	308
8	4304	308
9	4306	308
10	5504	308
11	5568	308
12	5568	308
13	5568	308

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (+.f64 (.f64 d1 3) (.f64 d1 d2)) (*.f64 d1 d3))
(+.f64 (+.f64 (.f64 d1 3) (.f64 d1 d2)) (*.f64 d1 d3))
(+.f64 (+.f64 (.f64 (neg.f64 d1) 3) (.f64 (neg.f64 d1) d2)) (*.f64 (neg.f64 d1) d3))
(+.f64 (+.f64 (.f64 d1 3) (.f64 d1 (neg.f64 d2))) (*.f64 d1 d3))
(+.f64 (+.f64 (.f64 d1 3) (.f64 d1 d2)) (*.f64 d1 (neg.f64 d3)))
(neg.f64 (+.f64 (+.f64 (.f64 (neg.f64 d1) 3) (.f64 (neg.f64 d1) d2)) (*.f64 (neg.f64 d1) d3)))
(neg.f64 (+.f64 (+.f64 (.f64 d1 3) (.f64 d1 (neg.f64 d2))) (*.f64 d1 d3)))
(neg.f64 (+.f64 (+.f64 (.f64 d1 3) (.f64 d1 d2)) (*.f64 d1 (neg.f64 d3))))
(+.f64 (+.f64 (.f64 d2 3) (.f64 d2 d1)) (*.f64 d2 d3))
(+.f64 (+.f64 (.f64 d3 3) (.f64 d3 d2)) (*.f64 d3 d1))
(+.f64 (+.f64 (.f64 d1 3) (.f64 d1 d3)) (*.f64 d1 d2))

Outputs
(+.f64 (+.f64 (.f64 d1 3) (.f64 d1 d2)) (*.f64 d1 d3))
(+.f64 (.f64 d1 (+.f64 3 d2)) (.f64 d1 d3))
(*.f64 d1 (+.f64 (+.f64 3 d2) d3))
(*.f64 d1 (+.f64 d2 (+.f64 3 d3)))
(+.f64 (+.f64 (.f64 d1 3) (.f64 d1 d2)) (*.f64 d1 d3))
(+.f64 (.f64 d1 (+.f64 3 d2)) (.f64 d1 d3))
(*.f64 d1 (+.f64 (+.f64 3 d2) d3))
(*.f64 d1 (+.f64 d2 (+.f64 3 d3)))
(+.f64 (+.f64 (.f64 (neg.f64 d1) 3) (.f64 (neg.f64 d1) d2)) (*.f64 (neg.f64 d1) d3))
(+.f64 (.f64 (neg.f64 d1) (+.f64 3 d2)) (.f64 d1 (neg.f64 d3)))
(*.f64 (neg.f64 d1) (+.f64 (+.f64 3 d2) d3))
(*.f64 d1 (-.f64 (+.f64 (neg.f64 d2) -3) d3))
(*.f64 d1 (-.f64 -3 (+.f64 d2 d3)))
(+.f64 (+.f64 (.f64 d1 3) (.f64 d1 (neg.f64 d2))) (*.f64 d1 d3))
(+.f64 (.f64 d1 d3) (.f64 d1 (+.f64 3 (neg.f64 d2))))
(*.f64 d1 (+.f64 d3 (-.f64 3 d2)))
(*.f64 d1 (+.f64 3 (-.f64 d3 d2)))
(+.f64 (+.f64 (.f64 d1 3) (.f64 d1 d2)) (*.f64 d1 (neg.f64 d3)))
(+.f64 (.f64 d1 (+.f64 3 d2)) (.f64 d1 (neg.f64 d3)))
(*.f64 d1 (+.f64 (+.f64 3 d2) (neg.f64 d3)))
(*.f64 d1 (+.f64 3 (-.f64 d2 d3)))
(neg.f64 (+.f64 (+.f64 (.f64 (neg.f64 d1) 3) (.f64 (neg.f64 d1) d2)) (*.f64 (neg.f64 d1) d3)))
(+.f64 (.f64 d1 (+.f64 3 d2)) (.f64 d1 d3))
(*.f64 d1 (+.f64 (+.f64 3 d2) d3))
(*.f64 d1 (+.f64 d2 (+.f64 3 d3)))
(neg.f64 (+.f64 (+.f64 (.f64 d1 3) (.f64 d1 (neg.f64 d2))) (*.f64 d1 d3)))
(neg.f64 (+.f64 (.f64 d1 d3) (.f64 d1 (+.f64 3 (neg.f64 d2)))))
(neg.f64 (*.f64 d1 (+.f64 d3 (-.f64 3 d2))))
(*.f64 d1 (-.f64 -3 (fma.f64 d2 -1 d3)))
(*.f64 d1 (+.f64 d2 (-.f64 -3 d3)))
(neg.f64 (+.f64 (+.f64 (.f64 d1 3) (.f64 d1 d2)) (*.f64 d1 (neg.f64 d3))))
(neg.f64 (+.f64 (.f64 d1 (+.f64 3 d2)) (.f64 d1 (neg.f64 d3))))
(neg.f64 (*.f64 d1 (+.f64 (+.f64 3 d2) (neg.f64 d3))))
(*.f64 d1 (-.f64 -3 (-.f64 d2 d3)))
(*.f64 d1 (+.f64 d3 (-.f64 -3 d2)))
(+.f64 (+.f64 (.f64 d2 3) (.f64 d2 d1)) (*.f64 d2 d3))
(+.f64 (.f64 d2 (+.f64 3 d1)) (.f64 d2 d3))
(*.f64 d2 (+.f64 (+.f64 d1 3) d3))
(*.f64 d2 (+.f64 d1 (+.f64 3 d3)))
(+.f64 (+.f64 (.f64 d3 3) (.f64 d3 d2)) (*.f64 d3 d1))
(+.f64 (.f64 d1 d3) (.f64 d3 (+.f64 3 d2)))
(*.f64 d3 (+.f64 d1 (+.f64 3 d2)))
(+.f64 (+.f64 (.f64 d1 3) (.f64 d1 d3)) (*.f64 d1 d2))
(+.f64 (.f64 d1 (+.f64 3 d2)) (.f64 d1 d3))
(*.f64 d1 (+.f64 (+.f64 3 d2) d3))
(*.f64 d1 (+.f64 d2 (+.f64 3 d3)))

Symmetry

(negabs d1)

(sort d2 d3)

Compiler

Compiled 84 to 41 computations (51.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 64.0ms

Operation ival-add, time spent: 36.0ms, 56.0% of total-time

Operation ival-mult, time spent: 25.0ms, 39.0% of total-time

Operation const, time spent: 3.0ms, 5.0% of total-time

eval1.0ms (0%)

Compiler: Compiled 26 to 16 computations (38.5% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(*.f64 d1 (+.f64 (+.f64 3 d2) d3))

Compiler

Compiled 10 to 7 computations (30% saved)

localize66.0ms (2.7%)

Compiler: Compiled 23 to 14 computations (39.1% saved)
Precisions: Click to see histograms. Total time spent on operations: 42.0ms
Operation ival-add, time spent: 39.0ms, 93.0% of total-time
Operation ival-mult, time spent: 2.0ms, 5.0% of total-time
Operation const, time spent: 1.0ms, 2.0% of total-time

eval0.0ms (0%)

Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (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

100.0%

Counts

1 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 d1 (+.f64 (+.f64 3 d2) d3))

Compiler

Compiled 31 to 20 computations (35.5% saved)

regimes11.0ms (0.5%)

Accuracy

Total -1.8b remaining (-∞%)

Threshold costs -1.8b (-∞%)

Counts

2 → 1

Calls

Call 1

Inputs
(*.f64 d1 (+.f64 (+.f64 3 d2) d3))
(+.f64 (+.f64 (.f64 d1 3) (.f64 d1 d2)) (*.f64 d1 d3))

Outputs
(*.f64 d1 (+.f64 (+.f64 3 d2) d3))

Calls

4 calls:

3.0ms	d2
3.0ms	(+.f64 (+.f64 (.f64 d1 3) (.f64 d1 d2)) (*.f64 d1 d3))
3.0ms	d1
3.0ms	d3

Results

Accuracy	Segments	Branch
100.0%	1	`d1`
100.0%	1	`d2`
100.0%	1	`d3`
100.0%	1	`(+.f64 (+.f64 (.f64 d1 3) (.f64 d1 d2)) (*.f64 d1 d3))`

Compiler

Compiled 26 to 18 computations (30.8% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative`
2×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	28
1	16	28

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(*.f64 d1 (+.f64 (+.f64 3 d2) d3))

Outputs
(*.f64 d1 (+.f64 (+.f64 3 d2) d3))

Compiler

Compiled 10 to 7 computations (30% saved)

soundness389.0ms (15.6%)

Rules

3750×	`fma-def`
552×	`unsub-neg`
450×	`sub-neg`
348×	`cancel-sign-sub`
326×	`distribute-lft-out`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	44	439
1	134	328
2	419	314
3	1282	308
4	3223	308
5	4018	308
6	4272	308
7	4294	308
8	4304	308
9	4306	308
10	5504	308
11	5568	308
12	5568	308
13	5568	308

Stop Event

1×

saturated

Compiler

Compiled 30 to 17 computations (43.3% saved)

end0.0ms (0%)

preprocess33.0ms (1.3%)

Remove

(sort d2 d3)

(negabs d1)

Compiler

Compiled 148 to 102 computations (31.1% saved)

analyze2.0ms (0.1%)

sample1.6s (62.8%)

preprocess421.0ms (16.8%)

eval1.0ms (0%)

prune1.0ms (0%)

localize66.0ms (2.7%)

eval0.0ms (0%)

prune1.0ms (0.1%)

regimes11.0ms (0.5%)

simplify3.0ms (0.1%)

soundness389.0ms (15.6%)

end0.0ms (0%)

preprocess33.0ms (1.3%)

Profiling