Details

sample41.0ms

Algorithm

intervals

Results

17.0ms	110×	body	1280	valid
7.0ms	76×	body	640	valid
4.0ms	376×	pre	80	true
2.0ms	40×	body	320	valid
2.0ms	127×	body	80	valid
1.0ms	23×	body	160	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	2
1	7	2
2	7	2

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: 58.5b

Counts

2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

6.4b	(- (exp x) 1.0)

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 28

Calls

1 calls:

5.0ms

(- (exp x) 1.0)

series19.0ms

Counts

1 → 3

Calls

1 calls:

19.0ms

(- (exp x) 1.0)

simplify63.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 3 (59.0ms)

Iter	Nodes	Cost
0	140	205
1	403	130
2	2063	120
3	5003	90

prune48.0ms

Filtered

31 candidates to 18 candidates (58.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	28	3	31
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	29	3	32

Merged error: 0.1b

Counts

32 → 3

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))
0.0b	(fma 1/6 (pow x 3) x)

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

2×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

2 → 20

Calls

2 calls:

1.0ms	(fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))
1.0ms	(fma 1/6 (pow x 3) x)

series102.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))
76.0ms	(fma 1/6 (pow x 3) x)

simplify41.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	55	118
1	186	104
2	1137	104
3	5001	104

prune62.0ms

Filtered

26 candidates to 20 candidates (76.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	25	1	26
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	25	4	29

Merged error: 0.1b

Counts

29 → 4

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma 1/6 (pow x 3) x)
0.0b	(fma 1/2 (pow x 2) (exp (log (fma 1/6 (pow x 3) x))))
3.0b	(exp (log (fma 1/6 (pow x 3) x)))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `exp-prod`
3×	`add-exp-log` `expm1-log1p-u` `log-prod` `exp-sum` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`fma-udef`
1×	`log-pow` `rem-exp-log`

Counts

3 → 37

Calls

3 calls:

1.0ms	(fma 1/6 (pow x 3) x)
1.0ms	(fma 1/2 (pow x 2) (exp (log (fma 1/6 (pow x 3) x))))
2.0ms	(exp (log (fma 1/6 (pow x 3) x)))

series179.0ms

Counts

3 → 9

Calls

3 calls:

77.0ms	(fma 1/6 (pow x 3) x)
27.0ms	(fma 1/2 (pow x 2) (exp (log (fma 1/6 (pow x 3) x))))
75.0ms	(exp (log (fma 1/6 (pow x 3) x)))

simplify43.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 3 (38.0ms)

Iter	Nodes	Cost
0	89	217
1	239	192
2	1223	187
3	5002	181

prune113.0ms

Filtered

46 candidates to 32 candidates (69.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	45	1	46
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	46	4	50

Merged error: 0.1b

Counts

50 → 4

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (log (fma 1/6 (pow x 3) x)))
0.3b	(cbrt (log (fma 1/6 (pow x 3) x)))
1.7b	(exp (* (cbrt (log (fma 1/6 (pow x 3) x))) (cbrt (log (fma 1/6 (pow x 3) x)))))
2.9b	(pow (exp (* (cbrt (log (fma 1/6 (pow x 3) x))) (cbrt (log (fma 1/6 (pow x 3) x))))) (cbrt (log (fma 1/6 (pow x 3) x))))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
8×	`pow1`
7×	`pow-unpow` `add-log-exp`
4×	`add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
3×	`unpow-prod-down` `pow-pow` `log-pow`
2×	`exp-prod` `exp-to-pow` `pow1/3`
1×	`pow-to-exp` `pow-exp` `rem-exp-log` `sqr-pow`

Counts

4 → 65

Calls

4 calls:

1.0ms	(cbrt (log (fma 1/6 (pow x 3) x)))
1.0ms	(cbrt (log (fma 1/6 (pow x 3) x)))
2.0ms	(exp (* (cbrt (log (fma 1/6 (pow x 3) x))) (cbrt (log (fma 1/6 (pow x 3) x)))))
4.0ms	(pow (exp (* (cbrt (log (fma 1/6 (pow x 3) x))) (cbrt (log (fma 1/6 (pow x 3) x))))) (cbrt (log (fma 1/6 (pow x 3) x))))

series1.7s

Counts

4 → 12

Calls

4 calls:

164.0ms	(cbrt (log (fma 1/6 (pow x 3) x)))
164.0ms	(cbrt (log (fma 1/6 (pow x 3) x)))
286.0ms	(exp (* (cbrt (log (fma 1/6 (pow x 3) x))) (cbrt (log (fma 1/6 (pow x 3) x)))))
1.1s	(pow (exp (* (cbrt (log (fma 1/6 (pow x 3) x))) (cbrt (log (fma 1/6 (pow x 3) x))))) (cbrt (log (fma 1/6 (pow x 3) x))))

simplify50.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 1 (30.0ms)

Iter	Nodes	Cost
0	1292	2134
1	5001	2001

prune388.0ms

Filtered

77 candidates to 64 candidates (83.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	76	1	77
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	77	4	81

Merged error: 0.1b

Counts

81 → 4

regimes59.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	4

end0.0ms

sample1.2s

Algorithm

intervals

Results

531.0ms	3422×	body	1280	valid
243.0ms	2563×	body	640	valid
119.0ms	11834×	pre	80	true
73.0ms	1226×	body	320	valid
56.0ms	4007×	body	80	valid
26.0ms	616×	body	160	valid