Details

sample73.0ms

Algorithm

intervals

Results

34.0ms	114×	body	1280	valid
15.0ms	85×	body	640	valid
7.0ms	256×	body	80	valid
6.0ms	36×	body	320	valid
1.0ms	11×	body	160	valid

simplify142.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	5
1	23	5
2	31	5
3	36	5
4	41	5
5	65	5
6	103	5
7	243	5
8	1563	5
9	5001	5

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: 57.8b

Counts

2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

4.1b	(- (exp x) (exp (neg x)))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-sqr-sqrt` `*-un-lft-identity` `add-log-exp`
1×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

1 → 14

Calls

1 calls:

5.0ms

(- (exp x) (exp (neg x)))

series36.0ms

Counts

1 → 3

Calls

1 calls:

36.0ms

(- (exp x) (exp (neg x)))

simplify32.0ms

Algorithm

egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 3 (30.0ms)

Iter	Nodes	Cost
0	100	120
1	257	106
2	785	105
3	5001	103

prune57.0ms

Filtered

17 candidates to 14 candidates (82.4%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	13	4	17
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	14	4	18

Merged error: 0.0b

Counts

18 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
0.0b	(+ (* 1/60 (pow x 5)) (* 2 x))
0.0b	(* 1/60 (pow x 5))
0.1b	(* 1/3 (pow x 3))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`associate-r`
14×	`add-exp-log`
11×	`add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
8×	`unpow-prod-down` `add-cbrt-cube`
7×	`unswap-sqr`
6×	`associate-l` `prod-exp`
4×	`pow1` `cube-prod` `sum-log` `sqr-pow`
2×	`+-commutative` `pow-to-exp` `flip3-+` `pow-exp` `*-commutative` `cbrt-unprod` `flip-+`
1×	`cube-mult` `associate-+r+` `unpow3`

Counts

4 → 80

Calls

4 calls:

8.0ms	(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
4.0ms	(+ (* 1/60 (pow x 5)) (* 2 x))
9.0ms	(* 1/60 (pow x 5))
6.0ms	(* 1/3 (pow x 3))

series293.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
136.0ms	(+ (* 1/60 (pow x 5)) (* 2 x))
56.0ms	(* 1/60 (pow x 5))
38.0ms	(* 1/3 (pow x 3))

simplify53.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	354	458
1	1537	429
2	5002	428

prune179.0ms

Filtered

92 candidates to 59 candidates (64.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	91	1	92
Fresh	0	3	3
Picked	1	0	1
Done	0	0	0
Total	92	4	96

Merged error: 0.0b

Counts

96 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))) (* 2 x))
0.0b	(+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5)))
0.0b	(* 1/60 (pow x 5))
0.1b	(* 1/3 (pow x 3))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`associate-r`
14×	`add-exp-log`
11×	`add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
8×	`unpow-prod-down` `add-cbrt-cube`
7×	`unswap-sqr`
6×	`associate-l` `prod-exp`
4×	`pow1` `cube-prod` `sum-log` `sqr-pow`
2×	`+-commutative` `pow-to-exp` `flip3-+` `pow-exp` `*-commutative` `cbrt-unprod` `flip-+`
1×	`cube-mult` `associate-+l+` `unpow3`

Counts

4 → 80

Calls

4 calls:

7.0ms	(+ (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))) (* 2 x))
5.0ms	(+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5)))
5.0ms	(* 1/60 (pow x 5))
6.0ms	(* 1/3 (pow x 3))

series300.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(+ (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))) (* 2 x))
146.0ms	(+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5)))
48.0ms	(* 1/60 (pow x 5))
42.0ms	(* 1/3 (pow x 3))

simplify55.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	348	479
1	1530	448
2	5001	447

prune171.0ms

Filtered

92 candidates to 59 candidates (64.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	92	4	96

Merged error: 0.0b

Counts

96 → 4

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ -1 (exp x))
3.8b	(+ (exp x) (/ -1 (exp x)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-un-lft-identity`
10×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`times-frac`
4×	`add-cbrt-cube` `add-log-exp`
3×	`add-exp-log` `associate-/r` `associate-/l`
2×	`pow1`
1×	`cbrt-undiv` `+-commutative` `frac-2neg` `flip3-+` `div-exp` `clear-num` `sum-log` `flip-+` `div-inv` `distribute-lft-out`

Counts

2 → 39

Calls

2 calls:

4.0ms	(/ -1 (exp x))
7.0ms	(+ (exp x) (/ -1 (exp x)))

series53.0ms

Counts

2 → 6

Calls

2 calls:

9.0ms	(/ -1 (exp x))
43.0ms	(+ (exp x) (/ -1 (exp x)))

simplify155.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 2 (22.0ms)

Iter	Nodes	Cost
0	186	233
1	631	210
2	3511	204
3	5001	204

prune62.0ms

Filtered

45 candidates to 32 candidates (71.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	44	1	45
Fresh	2	0	2
Picked	0	1	1
Done	0	1	1
Total	46	3	49

Merged error: 0.0b

Counts

49 → 3

regimes13.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	8
1	20	8

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.0s	3399×	body	1280	valid
455.0ms	2520×	body	640	valid
222.0ms	8272×	body	80	valid
139.0ms	1219×	body	320	valid
43.0ms	587×	body	160	valid

Details

sample73.0ms

simplify142.0ms

prune2.0ms

localize6.0ms

rewrite5.0ms

series36.0ms

simplify32.0ms

prune57.0ms

localize11.0ms

rewrite30.0ms

series293.0ms

simplify53.0ms

prune179.0ms

localize11.0ms

rewrite26.0ms

series300.0ms

simplify55.0ms

prune171.0ms

localize5.0ms

rewrite12.0ms

series53.0ms

simplify155.0ms

prune62.0ms

regimes13.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.1s

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