Details

sample1.7s

Algorithm

intervals

Results

1.4s	125×	body	5120	exit
63.0ms	42×	body	1280	nan
56.0ms	260×	body	80	valid
41.0ms	41×	body	640	nan
8.0ms	11×	body	320	nan
4.0ms	10×	body	160	nan
2.0ms	7×	body	80	overflowed
1.0ms	6×	body	80	nan

simplify107.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (18.0ms)

Iter	Nodes	Cost
0	148	63
1	619	63
2	4284	62
3	5001	62

prune38.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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: 1.7b

Counts

2 → 2

localize57.0ms

Local error

Found 4 expressions with local error:

5.9b	(- (- 1.0 z) 1.0)
5.9b	(- (- 1.0 z) 1.0)
5.9b	(- (- 1.0 z) 1.0)
5.9b	(- (- 1.0 z) 1.0)

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

116×	`*-un-lft-identity`
104×	`add-sqr-sqrt`
96×	`prod-diff`
64×	`add-cube-cbrt`
44×	`associate--l+`
28×	`distribute-lft-out--`
24×	`add-log-exp`
20×	`fma-neg` `difference-of-squares`
12×	`diff-log`
8×	`sub-neg`
4×	`pow1` `add-exp-log` `associate--l-` `expm1-log1p-u` `flip3--` `add-cbrt-cube` `flip--` `log1p-expm1-u`

Counts

4 → 200

Calls

4 calls:

9.0ms	(- (- 1.0 z) 1.0)
12.0ms	(- (- 1.0 z) 1.0)
9.0ms	(- (- 1.0 z) 1.0)
9.0ms	(- (- 1.0 z) 1.0)

series48.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(- (- 1.0 z) 1.0)
12.0ms	(- (- 1.0 z) 1.0)
12.0ms	(- (- 1.0 z) 1.0)
12.0ms	(- (- 1.0 z) 1.0)

simplify118.0ms

Algorithm

egg-herbie

Counts

212 → 212

Iterations

Useful iterations: 3 (98.0ms)

Iter	Nodes	Cost
0	168	1460
1	532	756
2	2706	528
3	5002	460

prune1.8s

Filtered

212 candidates to 128 candidates (60.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	212	0	212
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	212	2	214

Merged error: 1.7b

Counts

214 → 2

localize62.0ms

Local error

Found 4 expressions with local error:

5.9b	(- (- 1.0 z) 1.0)
5.9b	(- (- 1.0 z) 1.0)
5.9b	(- (- 1.0 z) 1.0)
5.9b	(- (- 1.0 z) 1.0)

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

116×	`*-un-lft-identity`
104×	`add-sqr-sqrt`
96×	`prod-diff`
64×	`add-cube-cbrt`
44×	`associate--l+`
28×	`distribute-lft-out--`
24×	`add-log-exp`
20×	`fma-neg` `difference-of-squares`
12×	`diff-log`
8×	`sub-neg`
4×	`pow1` `add-exp-log` `associate--l-` `expm1-log1p-u` `flip3--` `add-cbrt-cube` `flip--` `log1p-expm1-u`

Counts

4 → 200

Calls

4 calls:

9.0ms	(- (- 1.0 z) 1.0)
9.0ms	(- (- 1.0 z) 1.0)
8.0ms	(- (- 1.0 z) 1.0)
9.0ms	(- (- 1.0 z) 1.0)

series46.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(- (- 1.0 z) 1.0)
11.0ms	(- (- 1.0 z) 1.0)
11.0ms	(- (- 1.0 z) 1.0)
12.0ms	(- (- 1.0 z) 1.0)

simplify111.0ms

Algorithm

egg-herbie

Counts

212 → 212

Iterations

Useful iterations: 3 (97.0ms)

Iter	Nodes	Cost
0	168	1460
1	532	756
2	2706	528
3	5002	460

prune1.9s

Filtered

212 candidates to 128 candidates (60.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	210	2	212
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	211	3	214

Merged error: 1.7b

Counts

214 → 3

localize69.0ms

Local error

Found 4 expressions with local error:

5.9b	(- (- 1.0 z) 1.0)
5.9b	(- (- 1.0 z) 1.0)
5.9b	(- (- 1.0 z) 1.0)
5.9b	(log (exp (* -1 z)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

89×	`*-un-lft-identity`
80×	`add-sqr-sqrt`
72×	`prod-diff`
50×	`add-cube-cbrt`
33×	`associate--l+`
21×	`distribute-lft-out--`
20×	`add-log-exp`
15×	`fma-neg` `difference-of-squares`
9×	`diff-log`
6×	`sub-neg`
5×	`pow1`
4×	`add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
3×	`associate--l-` `log-prod` `flip3--` `log-pow` `flip--`
2×	`exp-neg` `mul-1-neg`
1×	`log-div` `exp-prod` `exp-to-pow` `rem-log-exp` `log-rec`

Counts

4 → 168

Calls

4 calls:

9.0ms	(- (- 1.0 z) 1.0)
9.0ms	(- (- 1.0 z) 1.0)
9.0ms	(- (- 1.0 z) 1.0)
2.0ms	(log (exp (* -1 z)))

series56.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(- (- 1.0 z) 1.0)
12.0ms	(- (- 1.0 z) 1.0)
17.0ms	(- (- 1.0 z) 1.0)
15.0ms	(log (exp (* -1 z)))

simplify142.0ms

Algorithm

egg-herbie

Counts

180 → 180

Iterations

Useful iterations: 3 (130.0ms)

Iter	Nodes	Cost
0	192	1166
1	596	625
2	3251	444
3	5001	396

prune1.7s

Filtered

180 candidates to 112 candidates (62.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	178	2	180
Fresh	1	0	1
Picked	1	0	1
Done	0	1	1
Total	180	3	183

Merged error: 1.7b

Counts

183 → 3

localize65.0ms

Local error

Found 4 expressions with local error:

5.9b	(- (- 1.0 z) 1.0)
5.9b	(- (- 1.0 z) 1.0)
6.0b	(log (sqrt (exp (* -1 z))))
6.0b	(log (sqrt (exp (* -1 z))))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

64×	`*-un-lft-identity`
58×	`add-sqr-sqrt`
48×	`prod-diff`
38×	`add-cube-cbrt`
22×	`associate--l+`
16×	`add-log-exp`
14×	`distribute-lft-out--`
12×	`log-prod`
10×	`fma-neg` `log-pow` `difference-of-squares`
8×	`pow1`
6×	`add-exp-log` `sqrt-pow1` `diff-log` `sqrt-prod`
4×	`expm1-log1p-u` `sub-neg` `add-cbrt-cube` `log1p-expm1-u`
2×	`associate--l-` `exp-neg` `log-div` `exp-prod` `flip3--` `exp-to-pow` `mul-1-neg` `pow1/2` `sqrt-div` `rem-log-exp` `flip--`

Counts

4 → 144

Calls

4 calls:

9.0ms	(- (- 1.0 z) 1.0)
9.0ms	(- (- 1.0 z) 1.0)
5.0ms	(log (sqrt (exp (* -1 z))))
3.0ms	(log (sqrt (exp (* -1 z))))

series340.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(- (- 1.0 z) 1.0)
11.0ms	(- (- 1.0 z) 1.0)
159.0ms	(log (sqrt (exp (* -1 z))))
158.0ms	(log (sqrt (exp (* -1 z))))

simplify112.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 3 (101.0ms)

Iter	Nodes	Cost
0	207	1006
1	592	626
2	2843	504
3	5001	472

prune1.6s

Filtered

156 candidates to 98 candidates (62.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	156	0	156
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	156	3	159

Merged error: 1.7b

Counts

159 → 3

regimes150.0ms

Accuracy

0% (0.0b remaining)

Error of 1.8b against oracle of 1.8b and baseline of 1.8b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	87	63
1	92	63
2	92	63

end0.0ms

sample48.7s

Algorithm

intervals

Results

42.5s	3740×	body	5120	exit
2.2s	1482×	body	1280	nan
1.7s	8088×	body	80	valid
1.3s	1229×	body	640	nan
417.0ms	584×	body	320	nan
139.0ms	308×	body	160	nan
65.0ms	321×	body	80	nan
22.0ms	75×	body	80	overflowed
0.0ms	1×	body	160	valid