Details

sample40.0ms

Algorithm

intervals

Results

15.0ms	87×	body	1280	valid
9.0ms	83×	body	10240	exit
5.0ms	49×	body	640	valid
2.0ms	87×	body	80	valid
2.0ms	23×	body	320	valid
0.0ms	10×	body	160	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

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: 42.5b

Counts

2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

0.5b	(/ (exp x) (- (exp x) 1.0))
2.5b	(- (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×	`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:

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

series43.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(/ (exp x) (- (exp x) 1.0))
14.0ms	(- (exp x) 1.0)

simplify69.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 2 (16.0ms)

Iter	Nodes	Cost
0	180	378
1	542	357
2	2210	354
3	5001	354

prune118.0ms

Filtered

57 candidates to 41 candidates (71.9%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	53	4	57
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	54	4	58

Merged error: 0.0b

Counts

58 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)
0.0b	(/ (exp x) (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))
0.1b	(* (pow x 2) (+ (* x 1/6) 1/2))
0.3b	(* x 1/6)

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
17×	`add-cube-cbrt` `*-un-lft-identity`
12×	`add-exp-log`
11×	`associate-l`
10×	`add-cbrt-cube`
9×	`times-frac`
6×	`pow1` `associate-r` `add-log-exp`
5×	`unswap-sqr`
4×	`unpow-prod-down` `prod-exp`
3×	`flip3-+` `associate-/r` `flip-+` `associate-/l`
2×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in` `associate-r/` `associate-/r/` `-commutative` `cbrt-unprod` `unpow2` `sqr-pow`
1×	`cbrt-undiv` `+-commutative` `pow-to-exp` `frac-2neg` `div-exp` `pow-prod-down` `pow-exp` `clear-num` `sum-log` `div-inv`

Counts

4 → 91

Calls

4 calls:

8.0ms	(+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)
10.0ms	(/ (exp x) (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))
11.0ms	(* (pow x 2) (+ (* x 1/6) 1/2))
4.0ms	(* x 1/6)

series139.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)
37.0ms	(/ (exp x) (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))
64.0ms	(* (pow x 2) (+ (* x 1/6) 1/2))
13.0ms	(* x 1/6)

simplify70.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	429	746
1	2022	686
2	5001	684

prune218.0ms

Filtered

103 candidates to 72 candidates (69.9%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	102	1	103
Fresh	0	3	3
Picked	1	0	1
Done	0	0	0
Total	103	4	107

Merged error: 0.0b

Counts

107 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)
0.0b	(/ 1 (/ (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x) (exp x)))
0.1b	(* (pow x 2) (+ (* x 1/6) 1/2))
0.3b	(* x 1/6)

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

75×	`times-frac`
59×	`add-sqr-sqrt`
51×	`add-cube-cbrt` `*-un-lft-identity`
19×	`add-exp-log`
13×	`associate-/r*` `add-cbrt-cube`
11×	`associate-l`
7×	`pow1` `div-exp`
6×	`associate-r` `add-log-exp`
5×	`div-inv` `unswap-sqr`
4×	`unpow-prod-down` `prod-exp`
3×	`cbrt-undiv` `associate-/l*`
2×	`distribute-rgt-in` `rec-exp` `associate-+l+` `distribute-lft-in` `flip3-+` `1-exp` `associate-r/` `-commutative` `cbrt-unprod` `flip-+` `unpow2` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `pow-flip` `frac-2neg` `pow-prod-down` `pow-exp` `clear-num` `sum-log` `associate-/r/` `inv-pow`

Counts

4 → 138

Calls

4 calls:

11.0ms	(+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)
11.0ms	(/ 1 (/ (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x) (exp x)))
8.0ms	(* (pow x 2) (+ (* x 1/6) 1/2))
4.0ms	(* x 1/6)

series140.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)
36.0ms	(/ 1 (/ (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x) (exp x)))
65.0ms	(* (pow x 2) (+ (* x 1/6) 1/2))
13.0ms	(* x 1/6)

simplify97.0ms

Algorithm

egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 2 (76.0ms)

Iter	Nodes	Cost
0	641	1535
1	3201	1395
2	5002	1317

prune262.0ms

Filtered

150 candidates to 83 candidates (55.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	150	0	150
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	150	4	154

Merged error: 0.0b

Counts

154 → 4

localize5.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 1/2 (+ (* 1/12 x) (/ 1 x)))
0.0b	(+ (* 1/12 x) (/ 1 x))
0.3b	(* 1/12 x)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 43

Calls

3 calls:

7.0ms	(+ 1/2 (+ (* 1/12 x) (/ 1 x)))
5.0ms	(+ (* 1/12 x) (/ 1 x))
3.0ms	(* 1/12 x)

series70.0ms

Counts

3 → 9

Calls

3 calls:

14.0ms	(+ 1/2 (+ (* 1/12 x) (/ 1 x)))
42.0ms	(+ (* 1/12 x) (/ 1 x))
14.0ms	(* 1/12 x)

simplify104.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 2 (24.0ms)

Iter	Nodes	Cost
0	200	216
1	705	205
2	3820	204
3	5002	204

prune76.0ms

Filtered

52 candidates to 34 candidates (65.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	51	1	52
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	51	5	56

Merged error: 0.0b

Counts

56 → 5

regimes44.0ms

Accuracy

0% (0.9b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	8
1	19	8

end0.0ms

sample1.1s

Algorithm

intervals

Results

389.0ms	2308×	body	1280	valid
291.0ms	2640×	body	10240	exit
172.0ms	1612×	body	640	valid
57.0ms	783×	body	320	valid
55.0ms	2871×	body	80	valid
19.0ms	427×	body	160	valid