Details

sample32.0ms

Algorithm

intervals

Results

12.0ms	72×	body	1280	valid
6.0ms	57×	body	640	valid
3.0ms	178×	body	80	valid
2.0ms	25×	body	320	valid
1.0ms	15×	body	160	valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	3
1	13	3
2	15	3
3	15	3

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: 40.7b

Counts

2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- (exp x) 1.0) x)
4.2b	(- (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-/l*` `distribute-lft-out--` `difference-of-squares`
4×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`associate-/r*`
2×	`pow1` `flip3--` `flip--` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `clear-num` `div-inv`

Counts

2 → 52

Calls

2 calls:

6.0ms	(/ (- (exp x) 1.0) x)
4.0ms	(- (exp x) 1.0)

series58.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(/ (- (exp x) 1.0) x)
15.0ms	(- (exp x) 1.0)

simplify75.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 2 (18.0ms)

Iter	Nodes	Cost
0	222	329
1	625	311
2	2739	309
3	5001	309

prune116.0ms

Filtered

58 candidates to 43 candidates (74.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	54	4	58
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	55	4	59

Merged error: 0.0b

Counts

59 → 4

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* 1/6 (pow x 2)) (+ (* 1/2 x) 1))
0.2b	(* 1/6 (pow x 2))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
8×	`associate-r`
7×	`add-exp-log` `add-log-exp`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`unpow-prod-down` `add-cbrt-cube` `unswap-sqr`
3×	`associate-l` `prod-exp` `sum-log`
2×	`pow1` `unpow2` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `associate-+r+` `flip3-+` `pow-exp` `*-commutative` `cbrt-unprod` `flip-+`

Counts

2 → 40

Calls

2 calls:

7.0ms	(+ (* 1/6 (pow x 2)) (+ (* 1/2 x) 1))
8.0ms	(* 1/6 (pow x 2))

series44.0ms

Counts

2 → 6

Calls

2 calls:

19.0ms	(+ (* 1/6 (pow x 2)) (+ (* 1/2 x) 1))
24.0ms	(* 1/6 (pow x 2))

simplify33.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	201	222
1	825	201
2	5001	198

prune80.0ms

Filtered

46 candidates to 29 candidates (63.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	46	0	46
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	46	4	50

Merged error: 0.0b

Counts

50 → 4

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1.0 (exp x)) x)
4.2b	(- 1.0 (exp x))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt` `*-un-lft-identity`
15×	`times-frac`
12×	`add-cube-cbrt`
5×	`associate-/l*` `distribute-lft-out--` `difference-of-squares`
4×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`associate-/r*`
2×	`pow1` `flip3--` `flip--` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `clear-num` `div-inv`

Counts

2 → 52

Calls

2 calls:

6.0ms	(/ (- 1.0 (exp x)) x)
4.0ms	(- 1.0 (exp x))

series51.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(/ (- 1.0 (exp x)) x)
13.0ms	(- 1.0 (exp x))

simplify76.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 2 (17.0ms)

Iter	Nodes	Cost
0	230	333
1	659	315
2	2880	314
3	5002	314

prune100.0ms

Filtered

58 candidates to 43 candidates (74.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	58	0	58
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	58	4	62

Merged error: 0.0b

Counts

62 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- (sqrt (exp x)) (sqrt 1.0)) x)
0.0b	(sqrt (exp x))
0.0b	(sqrt (exp x))
4.3b	(- (sqrt (exp x)) (sqrt 1.0))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

64×	`add-sqr-sqrt`
42×	`*-un-lft-identity`
36×	`sqrt-prod`
27×	`times-frac`
22×	`add-cube-cbrt`
20×	`difference-of-squares`
10×	`distribute-lft-out--`
9×	`associate-/l*`
8×	`sqrt-pow1`
6×	`pow1` `add-exp-log` `exp-prod` `add-cbrt-cube` `add-log-exp`
3×	`associate-/r*`
2×	`rem-sqrt-square` `flip3--` `pow1/2` `flip--` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `clear-num` `div-inv`

Counts

4 → 104

Calls

4 calls:

9.0ms	(/ (- (sqrt (exp x)) (sqrt 1.0)) x)
2.0ms	(sqrt (exp x))
2.0ms	(sqrt (exp x))
7.0ms	(- (sqrt (exp x)) (sqrt 1.0))

series140.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(/ (- (sqrt (exp x)) (sqrt 1.0)) x)
11.0ms	(sqrt (exp x))
17.0ms	(sqrt (exp x))
36.0ms	(- (sqrt (exp x)) (sqrt 1.0))

simplify78.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 2 (17.0ms)

Iter	Nodes	Cost
0	243	822
1	661	791
2	2716	784
3	5003	784

prune400.0ms

Filtered

116 candidates to 73 candidates (62.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	116	0	116
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	116	4	120

Merged error: 0.0b

Counts

120 → 4

regimes23.0ms

Accuracy

98.7% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 21.5b

bsearch22.0ms

Steps

Iters	Range		Point
7	-0.00020221124262352014	-4.9522569971489336e-06	-0.0001741057879619487

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	9
1	29	9
2	29	9

end0.0ms

sample864.0ms

Algorithm

intervals

Results

380.0ms	2283×	body	1280	valid
177.0ms	1645×	body	640	valid
104.0ms	5485×	body	80	valid
54.0ms	810×	body	320	valid
18.0ms	408×	body	160	valid