Details

sample58.0ms

Algorithm

intervals

Results

22.0ms	71×	body	1280	valid
10.0ms	48×	body	640	valid
4.0ms	100×	body	80	valid
3.0ms	24×	body	320	valid
3.0ms	84×	body	80	overflowed
1.0ms	13×	body	160	valid

simplify136.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (133.0ms)

Iter	Nodes	Cost
0	4999	7
1	4999	7

prune4.0ms

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: 38.9b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite21.0ms

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:

12.0ms	(/ (exp x) (- (exp x) 1.0))
7.0ms	(- (exp x) 1.0)

series15.0ms

Counts

2 → 6

Calls

2 calls:

11.0ms	(/ (exp x) (- (exp x) 1.0))
4.0ms	(- (exp x) 1.0)

simplify105.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (95.0ms)

Iter	Nodes	Cost
0	5019	576

prune144.0ms

Filtered

41 candidates to 57 candidates (-39.0%)

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

localize11.0ms

Local error

Found 1 expressions with local error:

0.3b	(* x 1/12)

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*` `add-cbrt-cube`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `add-log-exp` `unswap-sqr`

Counts

1 → 18

Calls

1 calls:

6.0ms

(* x 1/12)

series4.0ms

Counts

1 → 3

Calls

1 calls:

4.0ms

(* x 1/12)

simplify57.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4761	88
1	4761	88

prune47.0ms

Filtered

13 candidates to 21 candidates (-61.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	21	0	21
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	21	3	24

Merged error: 0.0b

Counts

24 → 3

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (exp x) (log (exp (- (exp x) 1.0))))
3.8b	(log (exp (- (exp x) 1.0)))
3.9b	(- (exp x) 1.0)

rewrite38.0ms

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`
6×	`distribute-lft-out--` `difference-of-squares`
5×	`log-prod` `add-cbrt-cube` `add-log-exp`
4×	`add-exp-log`
3×	`associate-/l*`
2×	`sub-neg` `exp-sum`
1×	`cbrt-undiv` `log-div` `flip3--` `frac-2neg` `exp-diff` `diff-log` `div-exp` `rem-log-exp` `clear-num` `flip--` `div-inv`

Counts

3 → 85

Calls

3 calls:

14.0ms	(/ (exp x) (log (exp (- (exp x) 1.0))))
12.0ms	(log (exp (- (exp x) 1.0)))
7.0ms	(- (exp x) 1.0)

series20.0ms

Counts

3 → 9

Calls

3 calls:

12.0ms	(/ (exp x) (log (exp (- (exp x) 1.0))))
4.0ms	(log (exp (- (exp x) 1.0)))
4.0ms	(- (exp x) 1.0)

simplify95.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	4860	915
1	4860	915

prune182.0ms

Filtered

63 candidates to 94 candidates (-49.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	94	0	94
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	94	3	97

Merged error: 0.0b

Counts

97 → 3

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt` `*-un-lft-identity`
21×	`cbrt-prod`
15×	`times-frac`
13×	`add-cube-cbrt`
10×	`add-log-exp`
6×	`distribute-lft-out--` `difference-of-squares`
4×	`pow1` `add-exp-log` `flip3--` `add-cbrt-cube` `flip--`
3×	`sub-neg` `diff-log`
2×	`associate-/r/`
1×	`cbrt-div` `pow1/3` `div-inv`

Counts

4 → 72

Calls

4 calls:

12.0ms	(cbrt (/ (exp x) (- (exp x) 1.0)))
8.0ms	(- (exp x) 1.0)
8.0ms	(- (exp x) 1.0)
8.0ms	(- (exp x) 1.0)

series60.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(cbrt (/ (exp x) (- (exp x) 1.0)))
4.0ms	(- (exp x) 1.0)
4.0ms	(- (exp x) 1.0)
4.0ms	(- (exp x) 1.0)

simplify102.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (87.0ms)

Iter	Nodes	Cost
0	4870	843
1	4870	843

prune267.0ms

Filtered

61 candidates to 84 candidates (-37.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	84	3	87

Merged error: 0.0b

Counts

87 → 3

regimes172.0ms

Accuracy

98.6% (0.3b remaining)

Error of 0.8b against oracle of 0.5b and baseline of 21.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	43
1	37	43

end0.0ms

sample1.8s

Algorithm

intervals

Results

760.0ms	2303×	body	1280	valid
362.0ms	1648×	body	640	valid
124.0ms	2845×	body	80	valid
119.0ms	790×	body	320	valid
93.0ms	2470×	body	80	overflowed
40.0ms	417×	body	160	valid

Details

sample58.0ms

simplify136.0ms

prune4.0ms

localize8.0ms

rewrite21.0ms

series15.0ms

simplify105.0ms

prune144.0ms

localize11.0ms

rewrite7.0ms

series4.0ms

simplify57.0ms

prune47.0ms

localize14.0ms

rewrite38.0ms

series20.0ms

simplify95.0ms

prune182.0ms

localize19.0ms

rewrite40.0ms

series60.0ms

simplify102.0ms

prune267.0ms

regimes172.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.8s

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