Details

sample42.0ms

Algorithm

intervals

Results

16.0ms	118×	body	1280	valid
9.0ms	81×	body	640	valid
4.0ms	394×	pre	80	true
2.0ms	36×	body	320	valid
2.0ms	144×	body	80	valid
1.0ms	15×	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: 58.8b

Counts

2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

4.9b	(- (exp x) 1.0)

rewrite6.0ms

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)

series15.0ms

Counts

1 → 3

Calls

1 calls:

15.0ms

(- (exp x) 1.0)

simplify66.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 3 (62.0ms)

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

prune49.0ms

Filtered

31 candidates to 18 candidates (58.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	29	2	31
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	29	3	32

Merged error: 0.0b

Counts

32 → 3

localize8.0ms

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:

26.0ms	(fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))
75.0ms	(fma 1/6 (pow x 3) x)

simplify39.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 1 (3.0ms)

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

prune59.0ms

Filtered

26 candidates to 20 candidates (76.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

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

Merged error: 0.0b

Counts

29 → 4

localize12.0ms

Local error

Found 3 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)
3.2b	(exp (log (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))))

rewrite4.0ms

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

series128.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))
72.0ms	(fma 1/6 (pow x 3) x)
29.0ms	(exp (log (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))))

simplify42.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 3 (38.0ms)

Iter	Nodes	Cost
0	89	241
1	239	218
2	1223	209
3	5001	203

prune103.0ms

Filtered

46 candidates to 32 candidates (69.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

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

Merged error: 0.0b

Counts

50 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma 1.0 (+ (exp x) 1.0) (exp (+ x x)))
0.0b	(/ (- (pow (exp x) 3) (pow 1.0 3)) (fma 1.0 (+ (exp x) 1.0) (exp (+ x x))))
0.0b	(pow (exp x) 3)
4.8b	(- (pow (exp x) 3) (pow 1.0 3))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

233×	`add-sqr-sqrt`
163×	`*-un-lft-identity`
144×	`prod-diff`
138×	`unpow-prod-down` `cube-prod`
113×	`add-cube-cbrt`
80×	`difference-of-squares`
75×	`times-frac`
66×	`sqr-pow`
26×	`cube-mult` `unpow3`
25×	`associate-/l*` `distribute-lft-out--`
12×	`fma-neg`
7×	`add-cbrt-cube`
6×	`add-exp-log` `add-log-exp`
5×	`pow1` `difference-cubes`
4×	`expm1-log1p-u` `pow-pow` `log1p-expm1-u`
3×	`pow-unpow` `exp-prod` `associate-/r*`
2×	`flip3--` `flip--` `associate-/l/`
1×	`cbrt-undiv` `pow-to-exp` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `pow-exp` `clear-num` `fma-udef` `div-inv` `rem-cube-cbrt`

Counts

4 → 350

Calls

4 calls:

1.0ms	(fma 1.0 (+ (exp x) 1.0) (exp (+ x x)))
27.0ms	(/ (- (pow (exp x) 3) (pow 1.0 3)) (fma 1.0 (+ (exp x) 1.0) (exp (+ x x))))
4.0ms	(pow (exp x) 3)
17.0ms	(- (pow (exp x) 3) (pow 1.0 3))

series189.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(fma 1.0 (+ (exp x) 1.0) (exp (+ x x)))
93.0ms	(/ (- (pow (exp x) 3) (pow 1.0 3)) (fma 1.0 (+ (exp x) 1.0) (exp (+ x x))))
23.0ms	(pow (exp x) 3)
37.0ms	(- (pow (exp x) 3) (pow 1.0 3))

simplify148.0ms

Algorithm

egg-herbie

Counts

362 → 362

Iterations

Useful iterations: 2 (100.0ms)

Iter	Nodes	Cost
0	795	4646
1	2952	3884
2	5002	3789

prune385.0ms

Filtered

362 candidates to 123 candidates (34.0%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	361	1	362
Fresh	0	0	0
Picked	1	0	1
Done	0	3	3
Total	362	4	366

Merged error: 0.0b

Counts

366 → 4

regimes53.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.1b 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

sample1.1s

Algorithm

intervals

Results

503.0ms	3463×	body	1280	valid
218.0ms	2522×	body	640	valid
102.0ms	11917×	pre	80	true
66.0ms	1205×	body	320	valid
51.0ms	4110×	body	80	valid
23.0ms	617×	body	160	valid