Details

sample38.0ms

Algorithm

intervals

Results

11.0ms	71×	body	1280	valid
8.0ms	76×	body	10240	exit
6.0ms	43×	body	640	valid
2.0ms	100×	body	80	valid
2.0ms	28×	body	320	valid
1.0ms	14×	body	160	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	4
1	8	4
2	8	4

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: 39.2b

Counts

2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

0.5b	(/ (exp x) (- (exp x) 1.0))
3.9b	(- (exp x) 1.0)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt` `*-un-lft-identity`
15×	`times-frac`
12×	`add-cube-cbrt`
5×	`associate-/r*` `distribute-lft-out--` `difference-of-squares`
4×	`add-cbrt-cube` `add-log-exp`
3×	`add-exp-log` `associate-/l*`
2×	`pow1` `flip3--` `associate-/r/` `flip--`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-exp` `clear-num` `div-inv`

Counts

2 → 51

Calls

2 calls:

6.0ms	(/ (exp x) (- (exp x) 1.0))
4.0ms	(- (exp x) 1.0)

series40.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(/ (exp x) (- (exp x) 1.0))
15.0ms	(- (exp x) 1.0)

simplify69.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 2 (15.0ms)

Iter	Nodes	Cost
0	180	378
1	542	357
2	2210	354
3	5001	354

prune99.0ms

Filtered

57 candidates to 41 candidates (71.9%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	54	3	57
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	55	3	58

Merged error: 0.0b

Counts

58 → 3

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 1/2 (+ (* 1/12 x) (/ 1 x)))
0.0b	(+ (* 1/12 x) (/ 1 x))
0.4b	(* 1/12 x)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
7×	`add-sqr-sqrt` `*-un-lft-identity`
5×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
4×	`sum-log`
3×	`associate-r` `associate-l`
2×	`+-commutative` `flip3-+` `flip-+`
1×	`associate-+r+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

3 → 43

Calls

3 calls:

7.0ms	(+ 1/2 (+ (* 1/12 x) (/ 1 x)))
5.0ms	(+ (* 1/12 x) (/ 1 x))
4.0ms	(* 1/12 x)

series69.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms	(+ 1/2 (+ (* 1/12 x) (/ 1 x)))
38.0ms	(+ (* 1/12 x) (/ 1 x))
17.0ms	(* 1/12 x)

simplify102.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 2 (23.0ms)

Iter	Nodes	Cost
0	200	216
1	705	205
2	3820	204
3	5002	204

prune62.0ms

Filtered

52 candidates to 34 candidates (65.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	52	0	52
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	52	3	55

Merged error: 0.0b

Counts

55 → 3

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1.0 (exp x))
0.0b	(/ 1 (- 1 (/ 1.0 (exp x))))
3.9b	(- 1 (/ 1.0 (exp x)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

64×	`add-sqr-sqrt`
44×	`*-un-lft-identity`
43×	`times-frac`
24×	`add-cube-cbrt`
20×	`difference-of-squares`
11×	`associate-/r*`
8×	`add-exp-log`
7×	`add-cbrt-cube`
6×	`associate-/l*`
5×	`distribute-lft-out--` `add-log-exp`
4×	`pow1`
3×	`div-exp`
2×	`cbrt-undiv` `flip3--` `frac-2neg` `clear-num` `associate-/r/` `flip--` `div-inv`
1×	`sub-neg` `rec-exp` `pow-flip` `diff-log` `1-exp` `inv-pow`

Counts

3 → 97

Calls

3 calls:

7.0ms	(/ 1.0 (exp x))
9.0ms	(/ 1 (- 1 (/ 1.0 (exp x))))
7.0ms	(- 1 (/ 1.0 (exp x)))

series98.0ms

Counts

3 → 9

Calls

3 calls:

12.0ms	(/ 1.0 (exp x))
51.0ms	(/ 1 (- 1 (/ 1.0 (exp x))))
34.0ms	(- 1 (/ 1.0 (exp x)))

simplify37.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	310	724
1	1324	622
2	5002	621

prune121.0ms

Filtered

106 candidates to 61 candidates (57.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	105	1	106
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	106	3	109

Merged error: 0.0b

Counts

109 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (cbrt (- 1 (/ 1.0 (exp x)))) (cbrt (- 1 (/ 1.0 (exp x)))))
3.9b	(- 1 (/ 1.0 (exp x)))
3.9b	(- 1 (/ 1.0 (exp x)))
3.9b	(- 1 (/ 1.0 (exp x)))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

76×	`add-sqr-sqrt`
46×	`*-un-lft-identity`
40×	`cbrt-prod`
28×	`difference-of-squares`
14×	`times-frac`
13×	`swap-sqr`
12×	`add-cube-cbrt` `cbrt-div`
11×	`pow1` `associate-r` `associate-l`
10×	`add-log-exp`
9×	`flip3--` `flip--` `distribute-lft-out--`
6×	`add-exp-log` `pow1/3`
4×	`frac-times` `add-cbrt-cube` `unswap-sqr`
3×	`sub-neg` `diff-log`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 116

Calls

4 calls:

19.0ms	(* (cbrt (- 1 (/ 1.0 (exp x)))) (cbrt (- 1 (/ 1.0 (exp x)))))
7.0ms	(- 1 (/ 1.0 (exp x)))
7.0ms	(- 1 (/ 1.0 (exp x)))
7.0ms	(- 1 (/ 1.0 (exp x)))

series287.0ms

Counts

4 → 12

Calls

4 calls:

175.0ms	(* (cbrt (- 1 (/ 1.0 (exp x)))) (cbrt (- 1 (/ 1.0 (exp x)))))
39.0ms	(- 1 (/ 1.0 (exp x)))
34.0ms	(- 1 (/ 1.0 (exp x)))
39.0ms	(- 1 (/ 1.0 (exp x)))

simplify45.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	294	1261
1	1081	1146
2	5002	1074

prune236.0ms

Filtered

128 candidates to 81 candidates (63.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	127	1	128
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	127	4	131

Merged error: 0.0b

Counts

131 → 4

regimes58.0ms

Accuracy

96.7% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 21.3b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	11
1	22	11

end0.0ms

sample1.1s

Algorithm

intervals

Results

369.0ms	2207×	body	1280	valid
270.0ms	2487×	body	10240	exit
179.0ms	1652×	body	640	valid
59.0ms	871×	body	320	valid
54.0ms	2856×	body	80	valid
21.0ms	416×	body	160	valid