Details

analyze356.0ms (13.5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
12.5%	87.4%	0.1%	6
28.1%	71.8%	0.1%	7
42.1%	57.7%	0.1%	8
43.7%	56.2%	0.1%	9
64.4%	35.5%	0.1%	10
71.6%	28.3%	0.1%	11
72.2%	27.7%	0.1%	12
81.6%	18.2%	0.2%	13
84.9%	14.9%	0.2%	14

Compiler

Compiled 16 to 9 computations (43.8% saved)

sample991.0ms (37.7%)

Results

910.0ms	8256×	body	128	valid
29.0ms	291×	body	128	invalid

Compiler

Compiled 47 to 26 computations (44.7% saved)

simplify24.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

655×	`fma-def_binary64`
519×	`div-sub_binary64`
500×	`times-frac_binary64`
361×	`fma-neg_binary64`
269×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 8 (0.0ms)

Iter	Nodes	Cost
0	9	18
1	30	18
2	87	18
3	235	18
4	454	18
5	721	18
6	928	18
7	1456	18
8	2429	16

Stop Event

1×	node limit

Counts

1 → 2

prune3.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.1b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	1.3b	(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))
	15.7b	(/.f64 (.f64 (neg.f64 t1) v) (.f64 (+.f64 t1 u) (+.f64 t1 u)))

Compiler

Compiled 84 to 47 computations (44% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 v (+.f64 t1 u))
✓	1.2b	(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))

series66.0ms (2.5%)

Counts

2 → 60

Calls

2 calls:

52.0ms	(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))
14.0ms	(/.f64 v (+.f64 t1 u))

rewrite54.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

646×	`prod-diff_binary64`
123×	`add-sqr-sqrt_binary64`
117×	`add-cbrt-cube_binary64`
117×	`log1p-expm1-u_binary64`
117×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	234	23
2	3673	23

Stop Event

1×	node limit

Counts

2 → 77

Calls

2 calls:

53.0ms	(/.f64 v (+.f64 t1 u))
53.0ms	(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))

simplify49.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

870×	`fma-neg_binary64`
403×	`times-frac_binary64`
280×	`distribute-neg-frac_binary64`
278×	`associate-/l*_binary64`
205×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	73	1599
1	223	1571
2	726	1511
3	3566	1511

Stop Event

1×	node limit

Counts

137 → 111

prune74.0ms (2.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	109	2	111
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	109	4	113

Error

Counts

113 → 4

Alt Table

Status	Error	Program
▶	2.2b	(.f64 v (/.f64 1 (.f64 (+.f64 t1 u) (-.f64 -1 (/.f64 u t1)))))
✓	1.3b	(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))
	30.7b	(*.f64 (/.f64 t1 u) (/.f64 (neg.f64 v) u))
	15.7b	(/.f64 (.f64 (neg.f64 t1) v) (.f64 (+.f64 t1 u) (+.f64 t1 u)))

Compiler

Compiled 2167 to 1006 computations (53.6% saved)

localize8.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (+.f64 t1 u) (-.f64 -1 (/.f64 u t1)))
✓	0.5b	(/.f64 1 (*.f64 (+.f64 t1 u) (-.f64 -1 (/.f64 u t1))))
✓	2.0b	(.f64 v (/.f64 1 (.f64 (+.f64 t1 u) (-.f64 -1 (/.f64 u t1)))))

series70.0ms (2.6%)

Counts

3 → 84

Calls

3 calls:

53.0ms	(.f64 v (/.f64 1 (.f64 (+.f64 t1 u) (-.f64 -1 (/.f64 u t1)))))
10.0ms	(/.f64 1 (*.f64 (+.f64 t1 u) (-.f64 -1 (/.f64 u t1))))
6.0ms	(*.f64 (+.f64 t1 u) (-.f64 -1 (/.f64 u t1)))

rewrite60.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

619×	`prod-diff_binary64`
232×	`log1p-udef_binary64`
132×	`add-sqr-sqrt_binary64`
125×	`add-cbrt-cube_binary64`
124×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	45
1	263	45
2	3728	45

Stop Event

1×	node limit

Counts

3 → 102

Calls

3 calls:

58.0ms	(*.f64 (+.f64 t1 u) (-.f64 -1 (/.f64 u t1)))
57.0ms	(/.f64 1 (*.f64 (+.f64 t1 u) (-.f64 -1 (/.f64 u t1))))
57.0ms	(.f64 v (/.f64 1 (.f64 (+.f64 t1 u) (-.f64 -1 (/.f64 u t1)))))

simplify58.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

905×	`fma-neg_binary64`
530×	`times-frac_binary64`
379×	`associate-/l*_binary64`
274×	`associate-/r*_binary64`
199×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	94	1968
1	288	1886
2	982	1886
3	4334	1874

Stop Event

1×	node limit

Counts

186 → 147

prune96.0ms (3.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	147	0	147
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	147	4	151

Error

Counts

151 → 4

Alt Table

Status	Error	Program
✓	2.2b	(.f64 v (/.f64 1 (.f64 (+.f64 t1 u) (-.f64 -1 (/.f64 u t1)))))
✓	1.3b	(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))
	30.7b	(*.f64 (/.f64 t1 u) (/.f64 (neg.f64 v) u))
▶	15.7b	(/.f64 (.f64 (neg.f64 t1) v) (.f64 (+.f64 t1 u) (+.f64 t1 u)))

Compiler

Compiled 2815 to 1524 computations (45.9% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (+.f64 t1 u) (+.f64 t1 u))
✓	15.4b	(/.f64 (.f64 (neg.f64 t1) v) (.f64 (+.f64 t1 u) (+.f64 t1 u)))

series70.0ms (2.6%)

Counts

2 → 60

Calls

2 calls:

65.0ms	(/.f64 (.f64 (neg.f64 t1) v) (.f64 (+.f64 t1 u) (+.f64 t1 u)))
5.0ms	(*.f64 (+.f64 t1 u) (+.f64 t1 u))

rewrite51.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

961×	`prod-diff_binary64`
111×	`add-sqr-sqrt_binary64`
106×	`log1p-expm1-u_binary64`
106×	`expm1-log1p-u_binary64`
105×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	22
1	212	20
2	3545	20

Stop Event

1×	node limit

Counts

2 → 76

Calls

2 calls:

49.0ms	(*.f64 (+.f64 t1 u) (+.f64 t1 u))
49.0ms	(/.f64 (.f64 (neg.f64 t1) v) (.f64 (+.f64 t1 u) (+.f64 t1 u)))

simplify41.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

794×	`cancel-sign-sub-inv_binary64`
479×	`fma-neg_binary64`
410×	`times-frac_binary64`
288×	`associate-/l*_binary64`
204×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	60	1383
1	186	1256
2	640	1207
3	3140	1207

Stop Event

1×	node limit

Counts

136 → 106

prune66.0ms (2.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	106	0	106
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	106	4	110

Error

Counts

110 → 4

Alt Table

Status	Error	Program
✓	2.2b	(.f64 v (/.f64 1 (.f64 (+.f64 t1 u) (-.f64 -1 (/.f64 u t1)))))
✓	1.3b	(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))
▶	30.7b	(*.f64 (/.f64 t1 u) (/.f64 (neg.f64 v) u))
✓	15.7b	(/.f64 (.f64 (neg.f64 t1) v) (.f64 (+.f64 t1 u) (+.f64 t1 u)))

Compiler

Compiled 1830 to 779 computations (57.4% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	3.2b	(*.f64 (/.f64 t1 u) (/.f64 (neg.f64 v) u))

series47.0ms (1.8%)

Counts

1 → 36

Calls

1 calls:

46.0ms

(*.f64 (/.f64 t1 u) (/.f64 (neg.f64 v) u))

rewrite41.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

834×	`log1p-expm1-u_binary64`
834×	`expm1-log1p-u_binary64`
92×	`add-sqr-sqrt_binary64`
84×	`add-cbrt-cube_binary64`
84×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	178	10
2	2765	10

Stop Event

1×	node limit

Counts

1 → 47

Calls

1 calls:

41.0ms

(*.f64 (/.f64 t1 u) (/.f64 (neg.f64 v) u))

simplify36.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

575×	`times-frac_binary64`
479×	`fma-def_binary64`
326×	`associate-/l*_binary64`
311×	`div-sub_binary64`
299×	`associate-/l/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	432
1	22	432
2	59	432
3	183	432
4	673	432
5	3231	432
6	4189	432

Stop Event

1×	node limit

Counts

83 → 49

prune30.0ms (1.2%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	49	0	49
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	49	4	53

Error

Counts

53 → 4

Alt Table

Status	Error	Program
✓	2.2b	(.f64 v (/.f64 1 (.f64 (+.f64 t1 u) (-.f64 -1 (/.f64 u t1)))))
✓	1.3b	(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))
✓	30.7b	(*.f64 (/.f64 t1 u) (/.f64 (neg.f64 v) u))
✓	15.7b	(/.f64 (.f64 (neg.f64 t1) v) (.f64 (+.f64 t1 u) (+.f64 t1 u)))

Compiler

Compiled 498 to 172 computations (65.5% saved)

regimes265.0ms (10.1%)

Accuracy

Total 1.1b remaining (84.7%)

Threshold costs 0b (0%)

Counts

69 → 1

Compiler

Compiled 3374 to 2250 computations (33.3% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative_binary64`
3×	`sub-neg_binary64`
2×	`*-commutative_binary64`
2×	`neg-sub0_binary64`
2×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	16
1	13	16
2	19	16
3	23	16
4	26	16
5	27	16

Stop Event

1×

saturated

end53.0ms (2%)

Compiler: Compiled 84 to 53 computations (36.9% saved)

Details

analyze356.0ms (13.5%)

sample991.0ms (37.7%)

simplify24.0ms (0.9%)

prune3.0ms (0.1%)

localize7.0ms (0.3%)

series66.0ms (2.5%)

rewrite54.0ms (2.1%)

simplify49.0ms (1.9%)

prune74.0ms (2.8%)

localize8.0ms (0.3%)

series70.0ms (2.6%)

rewrite60.0ms (2.3%)

simplify58.0ms (2.2%)

prune96.0ms (3.6%)

localize7.0ms (0.3%)

series70.0ms (2.6%)

rewrite51.0ms (1.9%)

simplify41.0ms (1.5%)

prune66.0ms (2.5%)

localize5.0ms (0.2%)

series47.0ms (1.8%)

rewrite41.0ms (1.6%)

simplify36.0ms (1.4%)

prune30.0ms (1.2%)

regimes265.0ms (10.1%)

simplify2.0ms (0.1%)

end53.0ms (2%)

Profiling