Details

sample38.0ms

Algorithm

intervals

Results

15.0ms	79×	body	1280	valid
7.0ms	52×	body	640	valid
2.0ms	104×	body	80	overflowed
2.0ms	25×	body	320	valid
2.0ms	88×	body	80	valid
1.0ms	12×	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: 42.0b

Counts

2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

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

series40.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(/ (exp x) (- (exp x) 1.0))
14.0ms	(- (exp x) 1.0)

simplify72.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 2 (15.0ms)

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

prune111.0ms

Filtered

57 candidates to 41 candidates (71.9%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	52	5	57
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	53	5	58

Merged error: 0.0b

Counts

58 → 5

localize6.0ms

Local error

Found 3 expressions with local error:

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

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

series70.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(+ (* 1/12 x) (/ 1 x))
14.0ms	(+ 1/2 (+ (* 1/12 x) (/ 1 x)))
17.0ms	(* 1/12 x)

simplify103.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 2 (23.0ms)

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

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	51	1	52
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	51	6	57

Merged error: 0.0b

Counts

57 → 6

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (exp x) (- (pow (exp x) 3) (pow 1.0 3)))
0.0b	(pow (exp x) 3)
0.0b	(* (/ (exp x) (- (pow (exp x) 3) (pow 1.0 3))) (+ (* (exp x) (exp x)) (+ (* 1.0 1.0) (* (exp x) 1.0))))
4.1b	(- (pow (exp x) 3) (pow 1.0 3))

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

265×	`add-sqr-sqrt`
151×	`times-frac`
148×	`*-un-lft-identity`
128×	`difference-of-squares`
99×	`unpow-prod-down` `cube-prod`
81×	`associate-l`
68×	`add-cube-cbrt`
65×	`sqr-pow`
40×	`distribute-lft-out--`
25×	`associate-/r*`
12×	`add-cbrt-cube`
9×	`add-exp-log`
8×	`difference-cubes`
7×	`pow1`
6×	`add-log-exp`
4×	`pow-pow` `associate-/r/`
3×	`pow-unpow` `exp-prod` `flip3--` `associate-r` `flip--` `associate-/l*`
2×	`cbrt-undiv` `frac-times` `flip3-+` `associate-*r/` `div-exp` `prod-exp` `cbrt-unprod` `flip-+` `div-inv` `unswap-sqr`
1×	`distribute-rgt-in` `cube-mult` `pow-to-exp` `sub-neg` `frac-2neg` `distribute-lft-in` `diff-log` `unpow3` `pow-prod-down` `associate-l/` `pow-exp` `clear-num` `-commutative` `rem-cube-cbrt`

Counts

4 → 283

Calls

4 calls:

20.0ms	(/ (exp x) (- (pow (exp x) 3) (pow 1.0 3)))
3.0ms	(pow (exp x) 3)
34.0ms	(* (/ (exp x) (- (pow (exp x) 3) (pow 1.0 3))) (+ (* (exp x) (exp x)) (+ (* 1.0 1.0) (* (exp x) 1.0))))
12.0ms	(- (pow (exp x) 3) (pow 1.0 3))

series234.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(/ (exp x) (- (pow (exp x) 3) (pow 1.0 3)))
23.0ms	(pow (exp x) 3)
121.0ms	(* (/ (exp x) (- (pow (exp x) 3) (pow 1.0 3))) (+ (* (exp x) (exp x)) (+ (* 1.0 1.0) (* (exp x) 1.0))))
36.0ms	(- (pow (exp x) 3) (pow 1.0 3))

simplify65.0ms

Algorithm

egg-herbie

Counts

295 → 295

Iterations

Useful iterations: 1 (27.0ms)

Iter	Nodes	Cost
0	1010	3589
1	5001	3450

prune639.0ms

Filtered

295 candidates to 174 candidates (59.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	293	2	295
Fresh	1	3	4
Picked	1	0	1
Done	0	1	1
Total	295	6	301

Merged error: 0.0b

Counts

301 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (exp x) (- (exp (* x 3)) (pow 1.0 3)))
0.0b	(* (/ (exp x) (- (exp (* x 3)) (pow 1.0 3))) (+ (* (exp x) (exp x)) (+ (* 1.0 1.0) (* (exp x) 1.0))))
0.0b	(exp (* x 3))
4.4b	(- (exp (* x 3)) (pow 1.0 3))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

97×	`add-sqr-sqrt`
67×	`times-frac`
52×	`*-un-lft-identity`
39×	`associate-l`
36×	`add-cube-cbrt`
32×	`difference-of-squares`
24×	`difference-cubes`
16×	`add-log-exp`
11×	`associate-/r*` `add-cbrt-cube`
9×	`add-exp-log` `exp-lft-cube` `exp-prod` `exp-to-pow`
8×	`unpow-prod-down` `cube-prod` `distribute-lft-out--` `sqr-pow`
6×	`pow1`
4×	`associate-/r/`
3×	`flip3--` `associate-r` `flip--` `associate-/l*`
2×	`cbrt-undiv` `frac-times` `flip3-+` `associate-*r/` `div-exp` `prod-exp` `cbrt-unprod` `flip-+` `div-inv` `unswap-sqr`
1×	`distribute-rgt-in` `sub-neg` `frac-2neg` `distribute-lft-in` `diff-log` `pow-prod-down` `associate-l/` `clear-num` `-commutative` `rem-exp-log`

Counts

4 → 156

Calls

4 calls:

10.0ms	(/ (exp x) (- (exp (* x 3)) (pow 1.0 3)))
23.0ms	(* (/ (exp x) (- (exp (* x 3)) (pow 1.0 3))) (+ (* (exp x) (exp x)) (+ (* 1.0 1.0) (* (exp x) 1.0))))
2.0ms	(exp (* x 3))
7.0ms	(- (exp (* x 3)) (pow 1.0 3))

series151.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(/ (exp x) (- (exp (* x 3)) (pow 1.0 3)))
93.0ms	(* (/ (exp x) (- (exp (* x 3)) (pow 1.0 3))) (+ (* (exp x) (exp x)) (+ (* 1.0 1.0) (* (exp x) 1.0))))
6.0ms	(exp (* x 3))
23.0ms	(- (exp (* x 3)) (pow 1.0 3))

simplify90.0ms

Algorithm

egg-herbie

Counts

168 → 168

Iterations

Useful iterations: 2 (71.0ms)

Iter	Nodes	Cost
0	715	2111
1	3652	1939
2	5001	1922

prune414.0ms

Filtered

168 candidates to 113 candidates (67.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	166	2	168
Fresh	1	3	4
Picked	1	0	1
Done	0	1	1
Total	168	6	174

Merged error: 0.0b

Counts

174 → 6

regimes66.0ms

Accuracy

98.8% (0.3b remaining)

Error of 0.6b against oracle of 0.3b and baseline of 21.5b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	22
1	37	22

end0.0ms

sample1.0s

Algorithm

intervals

Results

433.0ms	2202×	body	1280	valid
216.0ms	1663×	body	640	valid
72.0ms	828×	body	320	valid
70.0ms	2869×	body	80	valid
58.0ms	2510×	body	80	overflowed
24.0ms	439×	body	160	valid