Details

sample38.0ms

Algorithm

intervals

Results

11.0ms	67×	body	1280	valid
8.0ms	82×	body	10240	exit
7.0ms	60×	body	640	valid
2.0ms	32×	body	320	valid
2.0ms	79×	body	80	valid
1.0ms	18×	body	160	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

prune2.0ms

Filtered

1 candidates to 0 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: 44.5b

Counts

2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

0.3b	(/ (exp x) (- (exp x) 1.0))
5.7b	(- (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×	`add-exp-log` `associate-/r*` `distribute-lft-out--` `difference-of-squares`
4×	`add-cbrt-cube` `add-log-exp`
3×	`associate-/l*`
2×	`pow1` `flip3--` `div-exp` `associate-/r/` `flip--`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `clear-num` `div-inv`

Counts

2 → 52

Calls

2 calls:

7.0ms	(/ (exp x) (- (exp x) 1.0))
4.0ms	(- (exp x) 1.0)

series49.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(/ (exp x) (- (exp x) 1.0))
16.0ms	(- (exp x) 1.0)

simplify69.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 2 (17.0ms)

Iter	Nodes	Cost
0	179	381
1	550	361
2	2143	359
3	5001	359

prune96.0ms

Filtered

58 candidates to 41 candidates (29.3%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	54	4	58
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	55	4	59

Merged error: 0.0b

Counts

59 → 4

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* 1/12 x) (/ 1 x))
0.3b	(* 1/12 x)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 33

Calls

2 calls:

12.0ms	(+ (* 1/12 x) (/ 1 x))
3.0ms	(* 1/12 x)

series60.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(+ (* 1/12 x) (/ 1 x))
14.0ms	(* 1/12 x)

simplify66.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 3 (62.0ms)

Iter	Nodes	Cost
0	124	131
1	422	122
2	2068	121
3	5001	120

prune47.0ms

Filtered

39 candidates to 23 candidates (41.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	39	0	39
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	39	4	43

Merged error: 0.0b

Counts

43 → 4

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1.0 (exp x))
0.0b	(/ 1 (- 1 (/ 1.0 (exp x))))
5.7b	(- 1 (/ 1.0 (exp x)))

rewrite24.0ms

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*`
10×	`add-exp-log`
7×	`add-cbrt-cube`
6×	`associate-/l*`
5×	`distribute-lft-out--` `add-log-exp`
4×	`pow1` `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 → 98

Calls

3 calls:

4.0ms	(/ 1.0 (exp x))
9.0ms	(/ 1 (- 1 (/ 1.0 (exp x))))
7.0ms	(- 1 (/ 1.0 (exp x)))

series109.0ms

Counts

3 → 9

Calls

3 calls:

16.0ms	(/ 1.0 (exp x))
51.0ms	(/ 1 (- 1 (/ 1.0 (exp x))))
41.0ms	(- 1 (/ 1.0 (exp x)))

simplify41.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	308	725
1	1314	624
2	5001	623

prune117.0ms

Filtered

107 candidates to 61 candidates (43.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	106	1	107
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	108	3	111

Merged error: 0.0b

Counts

111 → 3

localize7.0ms

Local error

Found 3 expressions with local error:

0.3b	(/ (exp x) (log (exp (- (exp x) 1.0))))
5.7b	(log (exp (- (exp x) 1.0)))
5.7b	(- (exp x) 1.0)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt` `*-un-lft-identity`
30×	`log-pow`
27×	`times-frac`
25×	`exp-prod`
23×	`add-cube-cbrt`
9×	`associate-/r*`
8×	`pow1`
7×	`add-exp-log`
6×	`distribute-lft-out--` `difference-of-squares`
5×	`log-prod` `add-cbrt-cube` `add-log-exp`
3×	`associate-/l*`
2×	`sub-neg` `div-exp` `rem-log-exp` `exp-sum`
1×	`cbrt-undiv` `log-div` `flip3--` `frac-2neg` `exp-diff` `diff-log` `clear-num` `flip--` `div-inv`

Counts

3 → 87

Calls

3 calls:

8.0ms	(/ (exp x) (log (exp (- (exp x) 1.0))))
6.0ms	(log (exp (- (exp x) 1.0)))
4.0ms	(- (exp x) 1.0)

series62.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(/ (exp x) (log (exp (- (exp x) 1.0))))
15.0ms	(log (exp (- (exp x) 1.0)))
19.0ms	(- (exp x) 1.0)

simplify71.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 3 (63.0ms)

Iter	Nodes	Cost
0	231	673
1	637	607
2	2331	586
3	5002	582

prune127.0ms

Filtered

96 candidates to 64 candidates (33.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	96	3	99

Merged error: 0.0b

Counts

99 → 3

regimes49.0ms

Accuracy

97.3% (0.6b remaining)

Error of 0.6b 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

390.0ms	2228×	body	1280	valid
273.0ms	2562×	body	10240	exit
172.0ms	1619×	body	640	valid
61.0ms	871×	body	320	valid
54.0ms	2854×	body	80	valid
19.0ms	428×	body	160	valid