Details

analyze318.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
25%	75%	0%	3
25%	62.5%	12.5%	4
25%	56.2%	18.8%	5
28.1%	50%	21.9%	6
29.7%	46.9%	23.5%	7
30.5%	45.3%	24.3%	8
30.8%	44.9%	24.3%	9
31.2%	44.5%	24.3%	10
31.3%	44.4%	24.3%	11
31.4%	44.3%	24.3%	12
31.4%	44.2%	24.3%	13
31.5%	44.2%	24.3%	14

sample33.0ms

Algorithm

intervals

Results

14.0ms	76×	body	1280	valid
6.0ms	55×	body	640	valid
2.0ms	88×	body	80	valid
2.0ms	24×	body	320	valid
1.0ms	13×	body	160	valid

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	9	11
1	9	11

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Merged error: 41.7b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.2b	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
3.0b	(-.f64 (exp.f64 x) 1)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt_binary64_1201`
29×	`*-un-lft-identity_binary64_1216`
21×	`times-frac_binary64_1211`
14×	`add-cube-cbrt_binary64_1187`
10×	`difference-of-squares_binary64_1245`
7×	`associate-/r*_binary64_1279`
5×	`distribute-lft-out--_binary64_1261` `difference-of-sqr-1_binary64_1246`
4×	`add-cbrt-cube_binary64_1188` `add-log-exp_binary64_1181`
3×	`add-exp-log_binary64_1180` `associate-/l*_binary64_1280`
2×	`flip3--_binary64_1215` `pow1_binary64_1162` `associate-/r/_binary64_1281` `flip--_binary64_1242`
1×	`div-exp_binary64_1169` `div-inv_binary64_1217` `clear-num_binary64_1219` `diff-log_binary64_1132` `cbrt-undiv_binary64_1186` `sub-neg_binary64_1220` `frac-2neg_binary64_1209`

Counts

2 → 60

Calls

2 calls:

7.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
7.0ms	(-.f64 (exp.f64 x) 1)

series45.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
9.0ms	(-.f64 (exp.f64 x) 1)

simplify87.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	5133	1126

prune117.0ms

Filtered

42 candidates to 66 candidates (-57.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	63	3	66
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	64	3	67

Merged error: 0b

Counts

67 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (exp.f64 x) (.f64 x (+.f64 (.f64 x (+.f64 1/2 (*.f64 x 1/6))) 1)))
0.0b	(.f64 x (+.f64 (.f64 x (+.f64 1/2 (*.f64 x 1/6))) 1))
0.1b	(.f64 x (+.f64 1/2 (.f64 x 1/6)))
0.3b	(*.f64 x 1/6)

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt_binary64_1201`
15×	`add-cbrt-cube_binary64_1188`
13×	`add-exp-log_binary64_1180`
12×	`*-un-lft-identity_binary64_1216` `add-cube-cbrt_binary64_1187`
10×	`pow1_binary64_1162`
9×	`associate-l_binary64_1276` `associate-r_binary64_1275`
6×	`associate-*r/_binary64_1277`
4×	`cbrt-unprod_binary64_1185` `prod-exp_binary64_1167` `add-log-exp_binary64_1181`
3×	`pow-prod-down_binary64_1143` `flip-+_binary64_1241` `flip3-+_binary64_1214` `unswap-sqr_binary64_1244` `-commutative_binary64_1284` `associate-/l_binary64_1280` `times-frac_binary64_1211`
2×	`div-exp_binary64_1169` `associate-/r/_binary64_1281` `cbrt-undiv_binary64_1186` `distribute-lft-in_binary64_1258` `distribute-rgt-in_binary64_1259`
1×	`div-inv_binary64_1217` `clear-num_binary64_1219` `frac-2neg_binary64_1209` `associate-/r*_binary64_1279`

Counts

4 → 85

Calls

4 calls:

11.0ms	(/.f64 (exp.f64 x) (.f64 x (+.f64 (.f64 x (+.f64 1/2 (*.f64 x 1/6))) 1)))
9.0ms	(.f64 x (+.f64 (.f64 x (+.f64 1/2 (*.f64 x 1/6))) 1))
6.0ms	(.f64 x (+.f64 1/2 (.f64 x 1/6)))
4.0ms	(*.f64 x 1/6)

series94.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(/.f64 (exp.f64 x) (.f64 x (+.f64 (.f64 x (+.f64 1/2 (*.f64 x 1/6))) 1)))
20.0ms	(.f64 x (+.f64 (.f64 x (+.f64 1/2 (*.f64 x 1/6))) 1))
37.0ms	(.f64 x (+.f64 1/2 (.f64 x 1/6)))
11.0ms	(*.f64 x 1/6)

simplify70.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4944	1545
1	4944	1545

prune305.0ms

Filtered

71 candidates to 97 candidates (-36.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	97	3	100

Merged error: 0b

Counts

100 → 3

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x))))
2.9b	(-.f64 1 (exp.f64 (neg.f64 x)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity_binary64_1216` `add-sqr-sqrt_binary64_1201`
18×	`times-frac_binary64_1211`
13×	`add-cube-cbrt_binary64_1187`
10×	`difference-of-squares_binary64_1245`
6×	`associate-/r*_binary64_1279`
5×	`distribute-lft-out--_binary64_1261` `add-exp-log_binary64_1180`
4×	`add-cbrt-cube_binary64_1188` `add-log-exp_binary64_1181`
3×	`pow1_binary64_1162` `associate-/l*_binary64_1280`
2×	`flip3--_binary64_1215` `associate-/r/_binary64_1281` `flip--_binary64_1242`
1×	`div-exp_binary64_1169` `rec-exp_binary64_1168` `div-inv_binary64_1217` `clear-num_binary64_1219` `pow-flip_binary64_1146` `diff-log_binary64_1132` `cbrt-undiv_binary64_1186` `sub-neg_binary64_1220` `inv-pow_binary64_1138` `frac-2neg_binary64_1209`

Counts

2 → 58

Calls

2 calls:

7.0ms	(/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x))))
4.0ms	(-.f64 1 (exp.f64 (neg.f64 x)))

series42.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x))))
12.0ms	(-.f64 1 (exp.f64 (neg.f64 x)))

simplify62.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5513	1022

prune84.0ms

Filtered

37 candidates to 64 candidates (-73.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	64	3	67

Merged error: 0b

Counts

67 → 3

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (exp.f64 x) 1)
0.2b	(*.f64 (/.f64 1 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 x) 1))
2.9b	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt_binary64_1201`
27×	`*-un-lft-identity_binary64_1216`
24×	`associate-l_binary64_1276`
20×	`times-frac_binary64_1211`
14×	`add-cube-cbrt_binary64_1187`
10×	`add-exp-log_binary64_1180`
8×	`add-cbrt-cube_binary64_1188`
7×	`add-log-exp_binary64_1181`
5×	`pow1_binary64_1162`
4×	`distribute-lft-out--_binary64_1261` `sinh-undef_binary64_1016` `associate-r_binary64_1275` `difference-of-squares_binary64_1245`
3×	`flip-+_binary64_1241` `flip3-+_binary64_1214` `unswap-sqr_binary64_1244` `prod-exp_binary64_1167`
2×	`flip3--_binary64_1215` `frac-times_binary64_1208` `cbrt-unprod_binary64_1185` `associate-*r/_binary64_1277` `associate-/r/_binary64_1281` `distribute-lft-out_binary64_1260` `flip--_binary64_1242`
1×	`sum-log_binary64_1131` `associate-l/_binary64_1278` `div-exp_binary64_1169` `rec-exp_binary64_1168` `pow-prod-down_binary64_1143` `div-inv_binary64_1217` `diff-log_binary64_1132` `cbrt-undiv_binary64_1186` `sub-neg_binary64_1220` `-commutative_binary64_1284` `distribute-lft-in_binary64_1258` `+-commutative_binary64_1283` `distribute-rgt-in_binary64_1259`

Counts

3 → 78

Calls

3 calls:

4.0ms	(+.f64 (exp.f64 x) 1)
17.0ms	(*.f64 (/.f64 1 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 x) 1))
10.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

series77.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(+.f64 (exp.f64 x) 1)
49.0ms	(*.f64 (/.f64 1 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 x) 1))
22.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

simplify107.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	5278	1587

prune150.0ms

Filtered

64 candidates to 87 candidates (-35.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	87	0	87
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	87	3	90

Merged error: 0b

Counts

90 → 3

regimes50.0ms

Accuracy

0% (1.0b remaining)

Error of 1.0b against oracle of 0.1b and baseline of 1.0b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	21
1	17	21

end0.0ms

sample887.0ms

Algorithm

intervals

Results

395.0ms	2222×	body	1280	valid
190.0ms	1700×	body	640	valid
71.0ms	2875×	body	80	valid
67.0ms	804×	body	320	valid
21.0ms	399×	body	160	valid
0.0ms	1×	body	1280	invalid
0.0ms	1×	body	80	overflowed

Details

analyze318.0ms

sample33.0ms

simplify11.0ms

prune3.0ms

localize6.0ms

rewrite17.0ms

series45.0ms

simplify87.0ms

prune117.0ms

localize15.0ms

rewrite31.0ms

series94.0ms

simplify70.0ms

prune305.0ms

localize10.0ms

rewrite13.0ms

series42.0ms

simplify62.0ms

prune84.0ms

localize13.0ms

rewrite33.0ms

series77.0ms

simplify107.0ms

prune150.0ms

regimes50.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample887.0ms

Profiling