Details

sample44.0ms

Algorithm

intervals

Results

19.0ms	119×	body	1280	valid
6.0ms	67×	body	640	valid
4.0ms	380×	pre	80	true
3.0ms	46×	body	320	valid
2.0ms	135×	body	80	valid
0.0ms	13×	body	160	valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	2
1	7	2
2	7	2

prune2.0ms

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: 57.6b

Counts

2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

4.0b	(- (exp x) 1.0)

rewrite4.0ms

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:

4.0ms

(- (exp x) 1.0)

series2.0ms

Counts

1 → 3

Calls

1 calls:

2.0ms

(- (exp x) 1.0)

simplify53.0ms

Algorithm

egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	81	72
1	185	67
2	499	66
3	1399	66
4	5002	66

prune42.0ms

Filtered

12 candidates to 17 candidates (-41.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	13	4	17
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	13	5	18

Merged error: 0.1b

Counts

18 → 5

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 62

Calls

3 calls:

7.0ms	(+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)
8.0ms	(* (pow x 2) (+ (* x 1/6) 1/2))
3.0ms	(* x 1/6)

series14.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)
8.0ms	(* (pow x 2) (+ (* x 1/6) 1/2))
2.0ms	(* x 1/6)

simplify52.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	310	355
1	1545	327
2	5001	326

prune93.0ms

Filtered

47 candidates to 71 candidates (-51.1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	69	2	71
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	69	7	76

Merged error: 0.1b

Counts

76 → 7

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-exp-log`
19×	`add-sqr-sqrt`
14×	`associate-l`
13×	`prod-exp` `add-cbrt-cube`
12×	`associate-r`
11×	`add-cube-cbrt` `*-un-lft-identity`
9×	`add-log-exp`
7×	`unpow-prod-down`
6×	`pow1`
5×	`cbrt-unprod` `unswap-sqr`
3×	`pow-to-exp` `pow-exp` `sum-log` `*-commutative` `unpow2` `sqr-pow`
1×	`+-commutative` `associate-+r+` `flip3-+` `pow-prod-down` `flip-+`

Counts

4 → 83

Calls

4 calls:

5.0ms	(* 1/2 (pow x 2))
9.0ms	(+ (* (pow x 2) (* x 1/6)) (+ (* 1/2 (pow x 2)) x))
8.0ms	(* (pow x 2) (* x 1/6))
3.0ms	(* x 1/6)

series12.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* 1/2 (pow x 2))
4.0ms	(+ (* (pow x 2) (* x 1/6)) (+ (* 1/2 (pow x 2)) x))
4.0ms	(* (pow x 2) (* x 1/6))
2.0ms	(* x 1/6)

simplify56.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	331	413
1	1535	355
2	5001	355

prune126.0ms

Filtered

59 candidates to 95 candidates (-61.0%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	95	0	95
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	95	7	102

Merged error: 0.1b

Counts

102 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (pow x 2) (+ (* x 1/6) 1/2))
0.0b	(pow (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x) 3)
0.3b	(* x 1/6)
37.6b	(cbrt (pow (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x) 3))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
12×	`add-exp-log` `cbrt-prod`
11×	`associate-l`
10×	`unpow-prod-down`
9×	`add-cbrt-cube`
7×	`pow1`
6×	`cube-prod` `associate-r`
5×	`unswap-sqr`
4×	`cube-div` `prod-exp` `add-log-exp` `sqr-pow`
3×	`pow-unpow` `flip3-+` `flip-+`
2×	`cube-mult` `pow-to-exp` `cbrt-div` `unpow3` `associate-r/` `pow-exp` `-commutative` `cbrt-unprod` `unpow2`
1×	`distribute-rgt-in` `pow-pow` `distribute-lft-in` `pow1/3` `pow-prod-down` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 97

Calls

4 calls:

7.0ms	(* (pow x 2) (+ (* x 1/6) 1/2))
11.0ms	(pow (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x) 3)
3.0ms	(* x 1/6)
8.0ms	(cbrt (pow (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x) 3))

series16.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(* (pow x 2) (+ (* x 1/6) 1/2))
5.0ms	(pow (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x) 3)
2.0ms	(* x 1/6)
4.0ms	(cbrt (pow (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x) 3))

simplify75.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	453	757
1	2201	706
2	5001	700

prune135.0ms

Filtered

63 candidates to 109 candidates (-73.0%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	108	1	109
Fresh	0	3	3
Picked	1	0	1
Done	0	3	3
Total	109	7	116

Merged error: 0.1b

Counts

116 → 7

regimes156.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	7
1	15	7

end0.0ms

sample1.3s

Algorithm

intervals

Results

522.0ms	3361×	body	1280	valid
239.0ms	2495×	body	640	valid
122.0ms	12128×	pre	80	true
79.0ms	1304×	body	320	valid
64.0ms	4327×	body	80	valid
29.0ms	641×	body	160	valid

Details

sample44.0ms

simplify4.0ms

prune2.0ms

localize3.0ms

rewrite4.0ms

series2.0ms

simplify53.0ms

prune42.0ms

localize7.0ms

rewrite20.0ms

series14.0ms

simplify52.0ms

prune93.0ms

localize8.0ms

rewrite28.0ms

series12.0ms

simplify56.0ms

prune126.0ms

localize10.0ms

rewrite32.0ms

series16.0ms

simplify75.0ms

prune135.0ms

regimes156.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.3s

Profiling