Details

analyze372.0ms (13%)

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)

sample1.0s (36.2%)

Results

956.0ms	8256×	body	128	valid
26.0ms	254×	body	128	invalid

Compiler

Compiled 47 to 26 computations (44.7% saved)

simplify22.0ms (0.8%)

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

prune4.0ms (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

0.0b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	0.3b	(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))
	17.9b	(/.f64 (.f64 (neg.f64 t1) v) (.f64 (+.f64 t1 u) (+.f64 t1 u)))

Compiler

Compiled 84 to 47 computations (44% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 v (+.f64 t1 u))
✓	0.3b	(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))

series75.0ms (2.6%)

Counts

2 → 60

Calls

2 calls:

59.0ms	(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))
16.0ms	(/.f64 v (+.f64 t1 u))

rewrite54.0ms (1.9%)

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:

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

simplify48.0ms (1.7%)

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

prune84.0ms (2.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	107	4	111
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	107	6	113

Error

0.0b

Counts

113 → 6

Alt Table

Status	Error	Program
▶	0.3b	(*.f64 (/.f64 v (+.f64 t1 u)) (/.f64 1 (-.f64 -1 (/.f64 u t1))))
✓	0.3b	(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))
	3.9b	(.f64 v (/.f64 1 (.f64 (+.f64 t1 u) (-.f64 -1 (/.f64 u t1)))))
	17.9b	(/.f64 (.f64 (neg.f64 t1) v) (.f64 (+.f64 t1 u) (+.f64 t1 u)))
	0.9b	(pow.f64 (*.f64 (-.f64 -1 (/.f64 u t1)) (/.f64 (+.f64 t1 u) v)) -1)
	31.5b	(*.f64 (/.f64 t1 u) (/.f64 (neg.f64 v) u))

Compiler

Compiled 2231 to 1050 computations (52.9% saved)

localize8.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(/.f64 v (+.f64 t1 u))
✓	0.3b	(*.f64 (/.f64 v (+.f64 t1 u)) (/.f64 1 (-.f64 -1 (/.f64 u t1))))
✓	0.5b	(/.f64 1 (-.f64 -1 (/.f64 u t1)))

series65.0ms (2.3%)

Counts

2 → 60

Calls

2 calls:

55.0ms	(*.f64 (/.f64 v (+.f64 t1 u)) (/.f64 1 (-.f64 -1 (/.f64 u t1))))
10.0ms	(/.f64 1 (-.f64 -1 (/.f64 u t1)))

rewrite60.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

637×	`prod-diff_binary64`
138×	`add-sqr-sqrt_binary64`
131×	`add-cbrt-cube_binary64`
130×	`log1p-expm1-u_binary64`
130×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	26
1	272	26
2	4072	26

Stop Event

1×	node limit

Counts

2 → 76

Calls

2 calls:

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

simplify50.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

667×	`fma-neg_binary64`
459×	`times-frac_binary64`
316×	`associate-/l*_binary64`
298×	`distribute-neg-frac_binary64`
235×	`associate-/r*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	79	1461
1	233	1433
2	778	1367
3	3727	1358

Stop Event

1×	node limit

Counts

136 → 111

prune117.0ms (4.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	158	2	160
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	160	6	166

Error

0.0b

Counts

166 → 6

Alt Table

Status	Error	Program
	0.9b	(pow.f64 (*.f64 (-.f64 -1 (/.f64 u t1)) (/.f64 (+.f64 t1 u) v)) -1)
	28.3b	(*.f64 (/.f64 v (+.f64 t1 u)) (/.f64 (neg.f64 t1) u))
✓	0.3b	(*.f64 (/.f64 v (+.f64 t1 u)) (/.f64 1 (-.f64 -1 (/.f64 u t1))))
✓	0.3b	(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))
	17.9b	(/.f64 (.f64 (neg.f64 t1) v) (.f64 (+.f64 t1 u) (+.f64 t1 u)))
▶	0.8b	(/.f64 (/.f64 v (-.f64 -1 (/.f64 u t1))) (+.f64 u t1))

Compiler

Compiled 3013 to 1448 computations (51.9% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

series80.0ms (2.8%)

Counts

2 → 72

Calls

2 calls:

55.0ms	(/.f64 (/.f64 v (-.f64 -1 (/.f64 u t1))) (+.f64 u t1))
25.0ms	(/.f64 v (-.f64 -1 (/.f64 u t1)))

rewrite53.0ms (1.9%)

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	26
1	234	26
2	3670	26

Stop Event

1×	node limit

Counts

2 → 77

Calls

2 calls:

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

simplify59.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

916×	`fma-neg_binary64`
564×	`times-frac_binary64`
389×	`associate-/l*_binary64`
256×	`associate-/r*_binary64`
176×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	83	1755
1	249	1727
2	832	1628
3	4142	1619

Stop Event

1×	node limit

Counts

149 → 115

prune85.0ms (3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	115	0	115
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	115	6	121

Error

0.0b

Counts

121 → 6

Alt Table

Status	Error	Program
▶	0.9b	(pow.f64 (*.f64 (-.f64 -1 (/.f64 u t1)) (/.f64 (+.f64 t1 u) v)) -1)
	28.3b	(*.f64 (/.f64 v (+.f64 t1 u)) (/.f64 (neg.f64 t1) u))
✓	0.3b	(*.f64 (/.f64 v (+.f64 t1 u)) (/.f64 1 (-.f64 -1 (/.f64 u t1))))
✓	0.3b	(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))
	17.9b	(/.f64 (.f64 (neg.f64 t1) v) (.f64 (+.f64 t1 u) (+.f64 t1 u)))
✓	0.8b	(/.f64 (/.f64 v (-.f64 -1 (/.f64 u t1))) (+.f64 u t1))

Compiler

Compiled 2223 to 1086 computations (51.1% saved)

localize8.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 t1 u) v)
✓	0.3b	(*.f64 (-.f64 -1 (/.f64 u t1)) (/.f64 (+.f64 t1 u) v))
✓	0.7b	(pow.f64 (*.f64 (-.f64 -1 (/.f64 u t1)) (/.f64 (+.f64 t1 u) v)) -1)

series94.0ms (3.3%)

Counts

3 → 96

Calls

3 calls:

61.0ms	(pow.f64 (*.f64 (-.f64 -1 (/.f64 u t1)) (/.f64 (+.f64 t1 u) v)) -1)
24.0ms	(*.f64 (-.f64 -1 (/.f64 u t1)) (/.f64 (+.f64 t1 u) v))
8.0ms	(/.f64 (+.f64 t1 u) v)

rewrite65.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

628×	`prod-diff_binary64`
134×	`add-sqr-sqrt_binary64`
128×	`log1p-expm1-u_binary64`
128×	`expm1-log1p-u_binary64`
127×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	42
1	258	39
2	3886	39

Stop Event

1×	node limit

Counts

3 → 101

Calls

3 calls:

64.0ms	(/.f64 (+.f64 t1 u) v)
64.0ms	(*.f64 (-.f64 -1 (/.f64 u t1)) (/.f64 (+.f64 t1 u) v))
63.0ms	(pow.f64 (*.f64 (-.f64 -1 (/.f64 u t1)) (/.f64 (+.f64 t1 u) v)) -1)

simplify54.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

892×	`cancel-sign-sub-inv_binary64`
611×	`fma-neg_binary64`
412×	`times-frac_binary64`
298×	`associate-/l*_binary64`
213×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	79	1917
1	242	1867
2	807	1777
3	3652	1777

Stop Event

1×	node limit

Counts

197 → 139

prune102.0ms (3.6%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	139	0	139
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	139	6	145

Error

0.0b

Counts

145 → 6

Alt Table

Status	Error	Program
✓	0.9b	(pow.f64 (*.f64 (-.f64 -1 (/.f64 u t1)) (/.f64 (+.f64 t1 u) v)) -1)
	28.3b	(*.f64 (/.f64 v (+.f64 t1 u)) (/.f64 (neg.f64 t1) u))
✓	0.3b	(*.f64 (/.f64 v (+.f64 t1 u)) (/.f64 1 (-.f64 -1 (/.f64 u t1))))
✓	0.3b	(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))
	17.9b	(/.f64 (.f64 (neg.f64 t1) v) (.f64 (+.f64 t1 u) (+.f64 t1 u)))
✓	0.8b	(/.f64 (/.f64 v (-.f64 -1 (/.f64 u t1))) (+.f64 u t1))

Compiler

Compiled 2600 to 1274 computations (51% saved)

regimes177.0ms (6.2%)

Accuracy

Total 1.3b remaining (90%)

Threshold costs 0b (0%)

Counts

37 → 1

Compiler

Compiled 1986 to 1318 computations (33.6% 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

end70.0ms (2.5%)

Compiler: Compiled 116 to 74 computations (36.2% saved)

Details

analyze372.0ms (13%)

sample1.0s (36.2%)

simplify22.0ms (0.8%)

prune4.0ms (0.1%)

localize7.0ms (0.2%)

series75.0ms (2.6%)

rewrite54.0ms (1.9%)

simplify48.0ms (1.7%)

prune84.0ms (2.9%)

localize8.0ms (0.3%)

series65.0ms (2.3%)

rewrite60.0ms (2.1%)

simplify50.0ms (1.8%)

prune117.0ms (4.1%)

localize7.0ms (0.2%)

series80.0ms (2.8%)

rewrite53.0ms (1.9%)

simplify59.0ms (2.1%)

prune85.0ms (3%)

localize8.0ms (0.3%)

series94.0ms (3.3%)

rewrite65.0ms (2.3%)

simplify54.0ms (1.9%)

prune102.0ms (3.6%)

regimes177.0ms (6.2%)

simplify2.0ms (0.1%)

end70.0ms (2.5%)

Profiling