Details

sample90.0ms

Algorithm

intervals

Results

44.0ms	118×	body	1280	valid
15.0ms	72×	body	640	valid
9.0ms	292×	body	80	valid
6.0ms	40×	body	320	valid
1.0ms	16×	body	160	valid

simplify218.0ms

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	250	5
8	1252	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: 57.9b

Counts

2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

5.1b	(- (exp x) (exp (- 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 (- x)))

series39.0ms

Counts

1 → 3

Calls

1 calls:

39.0ms

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

simplify570.0ms

Algorithm

egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 3 (28.0ms)

Iter	Nodes	Cost
0	100	120
1	257	108
2	763	107
3	4896	105
4	5001	105

prune46.0ms

Filtered

17 candidates to 14 candidates (82.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	14	3	17
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	14	4	18

Merged error: 0.0b

Counts

18 → 4

localize14.0ms

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))
0.1b	(* 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-+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))
5.0ms	(* 1/60 (pow x 5))
6.0ms	(* 1/3 (pow x 3))

series281.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
134.0ms	(+ (* 1/60 (pow x 5)) (* 2 x))
53.0ms	(* 1/60 (pow x 5))
38.0ms	(* 1/3 (pow x 3))

simplify64.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	354	458
1	1537	430
2	5002	429

prune180.0ms

Filtered

92 candidates to 59 candidates (64.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	91	1	92
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	91	5	96

Merged error: 0.0b

Counts

96 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 1/60 (pow x 5)) (* 2 x))
0.1b	(* 1/60 (pow x 5))
0.1b	(* 1/3 (pow x 3))
3.3b	(exp (log (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 84

Calls

4 calls:

4.0ms	(+ (* 1/60 (pow x 5)) (* 2 x))
5.0ms	(* 1/60 (pow x 5))
6.0ms	(* 1/3 (pow x 3))
8.0ms	(exp (log (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))))

series285.0ms

Counts

4 → 12

Calls

4 calls:

136.0ms	(+ (* 1/60 (pow x 5)) (* 2 x))
47.0ms	(* 1/60 (pow x 5))
41.0ms	(* 1/3 (pow x 3))
61.0ms	(exp (log (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))))

simplify51.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	369	520
1	1515	488
2	5001	475

prune210.0ms

Filtered

96 candidates to 60 candidates (62.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	95	1	96
Fresh	0	2	2
Picked	1	0	1
Done	0	2	2
Total	96	5	101

Merged error: 0.0b

Counts

101 → 5

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 1/60 (pow x 5)) (* 2 x))
0.1b	(* 1/60 (pow x 5))
0.1b	(* 1/3 (pow x 3))
3.4b	(pow E (log (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 91

Calls

4 calls:

8.0ms	(+ (* 1/60 (pow x 5)) (* 2 x))
5.0ms	(* 1/60 (pow x 5))
6.0ms	(* 1/3 (pow x 3))
8.0ms	(pow E (log (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))))

series404.0ms

Counts

4 → 12

Calls

4 calls:

134.0ms	(+ (* 1/60 (pow x 5)) (* 2 x))
52.0ms	(* 1/60 (pow x 5))
35.0ms	(* 1/3 (pow x 3))
182.0ms	(pow E (log (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))))

simplify66.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	522	704
1	2129	669
2	5002	668

prune239.0ms

Filtered

103 candidates to 67 candidates (65.0%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	103	5	108

Merged error: 0.0b

Counts

108 → 5

regimes81.0ms

Accuracy

0% (0.7b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	8
1	20	8

end0.0ms

sample1.9s

Algorithm

intervals

Results

925.0ms	3303×	body	1280	valid
404.0ms	2481×	body	640	valid
188.0ms	8028×	body	80	valid
127.0ms	1276×	body	320	valid
40.0ms	660×	body	160	valid