Details

analyze5.0ms

Algorithm: search

sample61.0ms

Algorithm

intervals

Results

33.0ms	107×	body	1280	valid
14.0ms	72×	body	640	valid
6.0ms	46×	body	320	valid
2.0ms	23×	body	160	valid
0.0ms	8×	body	80	valid

simplify139.0ms

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

prune3.0ms

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: 58.4b

Counts

2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

9.0b	(- (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)))

series5.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

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

simplify29.0ms

Algorithm

egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 3 (27.0ms)

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

prune36.0ms

Filtered

14 candidates to 17 candidates (-21.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	14	3	17
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	15	3	18

Merged error: 0.0b

Counts

18 → 3

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
19×	`associate-r`
12×	`add-exp-log`
9×	`add-cube-cbrt` `*-un-lft-identity`
8×	`unpow-prod-down`
7×	`unswap-sqr`
6×	`associate-l` `prod-exp` `add-cbrt-cube`
4×	`cube-prod` `sqr-pow`
2×	`pow1` `pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod` `add-log-exp`
1×	`cube-mult` `unpow3`

Counts

2 → 56

Calls

2 calls:

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

series11.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(* 1/60 (pow x 5))
4.0ms	(* 1/3 (pow x 3))

simplify179.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	208	209
1	871	193
2	4636	193
3	5001	193

prune84.0ms

Filtered

38 candidates to 62 candidates (-63.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	62	0	62
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	62	3	65

Merged error: 0.0b

Counts

65 → 3

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(pow (- (exp x) (exp (* -1 x))) 3)
0.1b	(cbrt (pow (- (exp x) (exp (* -1 x))) 3))
9.0b	(- (exp x) (exp (* -1 x)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt` `*-un-lft-identity`
16×	`cbrt-prod`
10×	`unpow-prod-down` `cube-prod`
9×	`add-cube-cbrt`
5×	`distribute-lft-out--` `add-log-exp` `difference-of-squares`
4×	`pow1` `add-exp-log` `cube-div` `add-cbrt-cube`
3×	`pow-unpow` `flip3--` `flip--`
2×	`cube-mult` `cbrt-div` `unpow3` `sqr-pow`
1×	`pow-to-exp` `sub-neg` `pow-pow` `pow1/3` `diff-log` `pow-exp` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

3 → 70

Calls

3 calls:

5.0ms	(pow (- (exp x) (exp (* -1 x))) 3)
5.0ms	(cbrt (pow (- (exp x) (exp (* -1 x))) 3))
4.0ms	(- (exp x) (exp (* -1 x)))

series22.0ms

Counts

3 → 9

Calls

3 calls:

12.0ms	(pow (- (exp x) (exp (* -1 x))) 3)
5.0ms	(cbrt (pow (- (exp x) (exp (* -1 x))) 3))
5.0ms	(- (exp x) (exp (* -1 x)))

simplify32.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	235	617
1	831	587
2	5002	571

prune88.0ms

Filtered

42 candidates to 79 candidates (-88.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	78	1	79
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	78	4	82

Merged error: 0b

Counts

82 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b	(cbrt (* (- (exp x) (exp (* -1 x))) (- (exp x) (exp (* -1 x)))))
9.0b	(- (exp x) (exp (* -1 x)))
9.0b	(- (exp x) (exp (* -1 x)))
9.0b	(- (exp x) (exp (* -1 x)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 59

Calls

4 calls:

9.0ms	(cbrt (* (- (exp x) (exp (* -1 x))) (- (exp x) (exp (* -1 x)))))
4.0ms	(- (exp x) (exp (* -1 x)))
4.0ms	(- (exp x) (exp (* -1 x)))
6.0ms	(- (exp x) (exp (* -1 x)))

series44.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(cbrt (* (- (exp x) (exp (* -1 x))) (- (exp x) (exp (* -1 x)))))
5.0ms	(- (exp x) (exp (* -1 x)))
5.0ms	(- (exp x) (exp (* -1 x)))
5.0ms	(- (exp x) (exp (* -1 x)))

simplify85.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 3 (77.0ms)

Iter	Nodes	Cost
0	208	748
1	641	690
2	2746	672
3	5002	666

prune171.0ms

Filtered

52 candidates to 71 candidates (-36.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	71	0	71
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	71	4	75

Merged error: 0b

Counts

75 → 4

regimes33.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b 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

analyze4.0ms

Algorithm: search

sample1.9s

Algorithm

intervals

Results

1.1s	3381×	body	1280	valid
493.0ms	2490×	body	640	valid
155.0ms	1239×	body	320	valid
48.0ms	612×	body	160	valid
11.0ms	278×	body	80	valid

Details

analyze5.0ms

sample61.0ms

simplify139.0ms

prune3.0ms

localize6.0ms

rewrite5.0ms

series5.0ms

simplify29.0ms

prune36.0ms

localize10.0ms

rewrite12.0ms

series11.0ms

simplify179.0ms

prune84.0ms

localize9.0ms

rewrite17.0ms

series22.0ms

simplify32.0ms

prune88.0ms

localize13.0ms

rewrite25.0ms

series44.0ms

simplify85.0ms

prune171.0ms

regimes33.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze4.0ms

sample1.9s

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