Details

sample30.0ms

Algorithm

intervals

Results

11.0ms	77×	body	1280	valid
4.0ms	42×	body	640	valid
4.0ms	186×	body	80	valid
2.0ms	28×	body	320	valid
1.0ms	12×	body	160	valid

simplify60.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	3
1	18	3
2	27	3
3	50	3
4	115	3
5	329	3
6	1642	3
7	5001	3

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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: 27.9b

Counts

2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(exp (* a x))
3.0b	(- (exp (* a x)) 1.0)

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`add-cube-cbrt` `prod-diff`
6×	`add-log-exp`
3×	`fma-neg`
2×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
1×	`sub-neg` `exp-prod` `flip3--` `exp-to-pow` `diff-log` `flip--` `rem-exp-log` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 40

Calls

2 calls:

2.0ms	(exp (* a x))
4.0ms	(- (exp (* a x)) 1.0)

series50.0ms

Counts

2 → 6

Calls

2 calls:

12.0ms	(exp (* a x))
37.0ms	(- (exp (* a x)) 1.0)

simplify83.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 3 (79.0ms)

Iter	Nodes	Cost
0	173	292
1	562	211
2	2710	200
3	5002	164

prune79.0ms

Filtered

46 candidates to 28 candidates (60.9%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	40	6	46
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	41	6	47

Merged error: 9.8b

Counts

47 → 6

localize8.0ms

Local error

Found 4 expressions with local error:

0.1b	(cbrt (- (exp (* a x)) 1.0))
3.0b	(- (exp (* a x)) 1.0)
3.0b	(- (exp (* a x)) 1.0)
3.0b	(- (exp (* a x)) 1.0)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt` `*-un-lft-identity`
27×	`prod-diff`
26×	`add-cube-cbrt`
10×	`add-log-exp`
9×	`fma-neg`
5×	`cbrt-prod`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `flip3--` `add-cbrt-cube` `flip--` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
3×	`sub-neg` `diff-log`
2×	`cbrt-div`
1×	`pow1/3`

Counts

4 → 101

Calls

4 calls:

4.0ms	(cbrt (- (exp (* a x)) 1.0))
5.0ms	(- (exp (* a x)) 1.0)
5.0ms	(- (exp (* a x)) 1.0)
5.0ms	(- (exp (* a x)) 1.0)

series201.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(cbrt (- (exp (* a x)) 1.0))
37.0ms	(- (exp (* a x)) 1.0)
33.0ms	(- (exp (* a x)) 1.0)
36.0ms	(- (exp (* a x)) 1.0)

simplify112.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 3 (102.0ms)

Iter	Nodes	Cost
0	227	927
1	730	660
2	3541	616
3	5001	569

prune242.0ms

Filtered

113 candidates to 73 candidates (64.6%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	108	5	113
Fresh	1	4	5
Picked	1	0	1
Done	0	0	0
Total	110	9	119

Merged error: 9.8b

Counts

119 → 9

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b	(cbrt (- (exp (* a x)) 1.0))
2.9b	(- (pow (exp (* a x)) 3) (pow 1.0 3))
3.0b	(- (exp (* a x)) 1.0)
3.0b	(- (exp (* a x)) 1.0)

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

162×	`prod-diff`
124×	`add-sqr-sqrt`
110×	`*-un-lft-identity`
94×	`add-cube-cbrt`
87×	`unpow-prod-down` `cube-prod`
33×	`sqr-pow`
25×	`cube-mult` `unpow3`
19×	`difference-of-squares`
18×	`fma-neg`
10×	`add-log-exp`
8×	`distribute-lft-out--`
5×	`cbrt-prod`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `flip3--` `add-cbrt-cube` `flip--` `log1p-expm1-u`
3×	`sub-neg` `diff-log`
2×	`cbrt-div`
1×	`difference-cubes` `pow1/3`

Counts

4 → 265

Calls

4 calls:

4.0ms	(cbrt (- (exp (* a x)) 1.0))
15.0ms	(- (pow (exp (* a x)) 3) (pow 1.0 3))
5.0ms	(- (exp (* a x)) 1.0)
5.0ms	(- (exp (* a x)) 1.0)

series223.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(cbrt (- (exp (* a x)) 1.0))
56.0ms	(- (pow (exp (* a x)) 3) (pow 1.0 3))
33.0ms	(- (exp (* a x)) 1.0)
38.0ms	(- (exp (* a x)) 1.0)

simplify113.0ms

Algorithm

egg-herbie

Counts

277 → 277

Iterations

Useful iterations: 2 (80.0ms)

Iter	Nodes	Cost
0	618	2982
1	2060	2110
2	5002	2104

prune479.0ms

Filtered

277 candidates to 87 candidates (31.4%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	270	7	277
Fresh	4	4	8
Picked	1	0	1
Done	0	0	0
Total	275	11	286

Merged error: 9.8b

Counts

286 → 11

localize27.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ (exp (* a x)) 1.0))
2.9b	(- (pow (exp (* a x)) 3) (pow 1.0 3))
2.9b	(- (* (exp (* a x)) (exp (* a x))) (* 1.0 1.0))
3.0b	(- (exp (* a x)) 1.0)

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

154×	`prod-diff`
113×	`add-sqr-sqrt`
101×	`*-un-lft-identity`
87×	`add-cube-cbrt` `unpow-prod-down` `cube-prod`
33×	`sqr-pow`
25×	`cube-mult` `unpow3`
18×	`difference-of-squares`
16×	`fma-neg`
10×	`add-log-exp`
6×	`distribute-lft-out--`
4×	`pow1` `add-exp-log` `cbrt-prod` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
3×	`sub-neg` `flip3--` `diff-log` `flip--`
2×	`cbrt-div`
1×	`difference-cubes` `flip3-+` `pow1/3` `flip-+` `distribute-lft-out`

Counts

4 → 253

Calls

4 calls:

4.0ms	(cbrt (+ (exp (* a x)) 1.0))
15.0ms	(- (pow (exp (* a x)) 3) (pow 1.0 3))
6.0ms	(- (* (exp (* a x)) (exp (* a x))) (* 1.0 1.0))
5.0ms	(- (exp (* a x)) 1.0)

series258.0ms

Counts

4 → 12

Calls

4 calls:

122.0ms	(cbrt (+ (exp (* a x)) 1.0))
51.0ms	(- (pow (exp (* a x)) 3) (pow 1.0 3))
49.0ms	(- (* (exp (* a x)) (exp (* a x))) (* 1.0 1.0))
34.0ms	(- (exp (* a x)) 1.0)

simplify148.0ms

Algorithm

egg-herbie

Counts

265 → 265

Iterations

Useful iterations: 2 (117.0ms)

Iter	Nodes	Cost
0	704	2950
1	2786	2098
2	5001	2095

prune498.0ms

Filtered

265 candidates to 86 candidates (32.5%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	261	4	265
Fresh	2	8	10
Picked	1	0	1
Done	0	0	0
Total	264	12	276

Merged error: 9.8b

Counts

276 → 12

regimes501.0ms

Accuracy

94.2% (1.2b remaining)

Error of 9.4b against oracle of 8.2b and baseline of 29.4b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	50
1	51	50

end0.0ms

sample901.0ms

Algorithm

intervals

Results

423.0ms	2750×	body	1280	valid
129.0ms	1300×	body	640	valid
102.0ms	5394×	body	80	valid
51.0ms	771×	body	320	valid
17.0ms	390×	body	160	valid