Details

analyze34.0ms (2.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	37.5%	62.5%	0
0%	37.5%	62.5%	1
0%	18.7%	81.3%	2
0%	9.4%	90.6%	3
0%	9.4%	90.6%	4
0%	7%	93%	5
1.2%	4.7%	94.1%	6
1.2%	3.5%	95.3%	7
1.8%	2.6%	95.6%	8
2%	1.9%	96%	9
2.4%	1.3%	96.3%	10
2.6%	1%	96.5%	11
2.7%	0.7%	96.6%	12
2.8%	0.5%	96.7%	13
2.9%	0.3%	96.7%	14

Compiler

Compiled 26 to 15 computations (42.3% saved)

sample1.1s (70.7%)

Results

985.0ms	8256×	body	128	valid
49.0ms	374×	body	128	invalid

Compiler

Compiled 67 to 38 computations (43.3% saved)

simplify21.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

704×	`fma-def_binary64`
600×	`associate-/r*_binary64`
362×	`distribute-rgt-in_binary64`
331×	`distribute-lft-in_binary64`
206×	`div-sub_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	26	17
2	72	15
3	201	15
4	549	15
5	1979	15

Stop Event

1×	node limit

Counts

1 → 2

prune3.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	1	2
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	2	1	3

Error

14.5b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	14.5b	(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))

Compiler

Compiled 49 to 29 computations (40.8% saved)

localize6.0ms (0.4%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	14.5b	(/.f64 b (*.f64 a a))

series21.0ms (1.4%)

Counts

1 → 24

Calls

1 calls:

21.0ms

(/.f64 b (*.f64 a a))

rewrite35.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

529×	`log1p-expm1-u_binary64`
529×	`expm1-log1p-u_binary64`
373×	`unpow-prod-down_binary64`
274×	`log-prod_binary64`
141×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	106	7
2	1456	7

Stop Event

1×	node limit

Counts

1 → 68

Calls

1 calls:

34.0ms

(/.f64 b (*.f64 a a))

simplify60.0ms (4%)

Algorithm

1×	egg-herbie

Rules

607×	`sqr-pow_binary64`
434×	`unswap-sqr_binary64`
354×	`cube-prod_binary64`
335×	`associate-/l/_binary64`
271×	`fabs-mul_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	168
1	11	168
2	20	168
3	35	168
4	75	168
5	209	168
6	754	168
7	1962	168
8	2128	168
9	2312	168
10	2520	168
11	2811	168
12	3202	168
13	3680	168
14	4241	168
15	4925	168

Stop Event

1×	node limit

Counts

92 → 70

prune39.0ms (2.6%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	69	1	70
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	70	1	71

Error

Counts

71 → 1

Alt Table

Status	Error	Program
▶	0b	(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 (/.f64 b a) a) -1)))

Compiler

Compiled 1203 to 792 computations (34.2% saved)

localize7.0ms (0.4%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (/.f64 b a) a)

series22.0ms (1.5%)

Counts

1 → 24

Calls

1 calls:

22.0ms

(/.f64 (/.f64 b a) a)

rewrite33.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

595×	`log1p-expm1-u_binary64`
595×	`expm1-log1p-u_binary64`
321×	`log-prod_binary64`
114×	`log-div_binary64`
103×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	109	7
2	1599	7

Stop Event

1×	node limit

Counts

1 → 42

Calls

1 calls:

32.0ms

(/.f64 (/.f64 b a) a)

simplify60.0ms (4%)

Algorithm

1×	egg-herbie

Rules

607×	`sqr-pow_binary64`
434×	`unswap-sqr_binary64`
354×	`cube-prod_binary64`
335×	`associate-/l/_binary64`
271×	`fabs-mul_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	168
1	11	168
2	20	168
3	35	168
4	75	168
5	209	168
6	754	168
7	1962	168
8	2128	168
9	2312	168
10	2520	168
11	2811	168
12	3202	168
13	3680	168
14	4241	168
15	4925	168

Stop Event

1×	node limit

Counts

66 → 44

prune21.0ms (1.4%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	44	0	44
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	44	1	45

Error

Counts

45 → 1

Alt Table

Status	Error	Program
✓	0b	(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 (/.f64 b a) a) -1)))

Compiler

Compiled 686 to 359 computations (47.7% saved)

regimes43.0ms (2.9%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts

3 → 1

Compiler

Compiled 426 to 252 computations (40.8% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	15

Stop Event

1×

saturated

end36.0ms (2.4%)

Compiler: Compiled 36 to 24 computations (33.3% saved)

Details

analyze34.0ms (2.2%)

sample1.1s (70.7%)

simplify21.0ms (1.4%)

prune3.0ms (0.2%)

localize6.0ms (0.4%)

series21.0ms (1.4%)

rewrite35.0ms (2.3%)

simplify60.0ms (4%)

prune39.0ms (2.6%)

localize7.0ms (0.4%)

series22.0ms (1.5%)

rewrite33.0ms (2.2%)

simplify60.0ms (4%)

prune21.0ms (1.4%)

regimes43.0ms (2.9%)

simplify2.0ms (0.1%)

end36.0ms (2.4%)

Profiling