Details

sample16.0ms

Algorithm

intervals

Results

8.0ms	283×	body	80	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	1280	valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	18	4
1	34	3
2	52	3
3	60	3
4	60	3

prune5.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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: 0.0b

Counts

2 → 2

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(* d1 (+ (+ 10.0 d2) 20.0))
0.0b	(+ (+ 10.0 d2) 20.0)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 39

Calls

2 calls:

7.0ms	(* d1 (+ (+ 10.0 d2) 20.0))
5.0ms	(+ (+ 10.0 d2) 20.0)

series53.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(* d1 (+ (+ 10.0 d2) 20.0))
16.0ms	(+ (+ 10.0 d2) 20.0)

simplify87.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 2 (23.0ms)

Iter	Nodes	Cost
0	177	179
1	791	157
2	4227	156
3	5001	156

prune57.0ms

Filtered

45 candidates to 28 candidates (62.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	42	3	45
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	43	4	47

Merged error: 0b

Counts

47 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* d1 (+ 10.0 d2))
0.2b	(+ (* d1 (+ 10.0 d2)) (* d1 20.0))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 37

Calls

2 calls:

5.0ms	(* d1 (+ 10.0 d2))
6.0ms	(+ (* d1 (+ 10.0 d2)) (* d1 20.0))

series73.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(* d1 (+ 10.0 d2))
38.0ms	(+ (* d1 (+ 10.0 d2)) (* d1 20.0))

simplify34.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	215	180
1	973	159
2	5001	157

prune56.0ms

Filtered

43 candidates to 29 candidates (67.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	43	0	43
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	43	4	47

Merged error: 0b

Counts

47 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(* d1 (cbrt (pow (+ (+ 10.0 d2) 20.0) 3)))
0.0b	(+ (+ 10.0 d2) 20.0)
0.0b	(pow (+ (+ 10.0 d2) 20.0) 3)
16.7b	(cbrt (pow (+ (+ 10.0 d2) 20.0) 3))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

50×	`*-un-lft-identity`
36×	`cbrt-prod`
24×	`add-sqr-sqrt`
21×	`distribute-lft-out`
19×	`associate-r`
16×	`unpow-prod-down` `cube-prod`
15×	`add-cube-cbrt`
9×	`add-log-exp`
7×	`pow1` `add-exp-log`
6×	`cube-div` `add-cbrt-cube`
5×	`unswap-sqr`
4×	`cbrt-div` `flip3-+` `flip-+` `sqr-pow`
3×	`cube-mult` `pow-unpow` `unpow3` `associate-l` `sum-log`
2×	`associate-*r/`
1×	`+-commutative` `pow-to-exp` `associate-+l+` `pow-pow` `pow1/3` `pow-prod-down` `pow-exp` `prod-exp` `*-commutative` `rem-cbrt-cube` `cbrt-unprod` `rem-cube-cbrt`

Counts

4 → 111

Calls

4 calls:

11.0ms	(* d1 (cbrt (pow (+ (+ 10.0 d2) 20.0) 3)))
5.0ms	(+ (+ 10.0 d2) 20.0)
6.0ms	(pow (+ (+ 10.0 d2) 20.0) 3)
6.0ms	(cbrt (pow (+ (+ 10.0 d2) 20.0) 3))

series120.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* d1 (cbrt (pow (+ (+ 10.0 d2) 20.0) 3)))
25.0ms	(+ (+ 10.0 d2) 20.0)
40.0ms	(pow (+ (+ 10.0 d2) 20.0) 3)
16.0ms	(cbrt (pow (+ (+ 10.0 d2) 20.0) 3))

simplify53.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	304	564
1	1480	534
2	5001	523

prune143.0ms

Filtered

123 candidates to 64 candidates (52.0%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	123	0	123
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	123	4	127

Merged error: 0b

Counts

127 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ 10.0 d2) 20.0)
0.0b	(* d1 (exp (log (+ (+ 10.0 d2) 20.0))))
1.6b	(exp (log (+ (+ 10.0 d2) 20.0)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

23×	`*-un-lft-identity`
12×	`add-sqr-sqrt`
11×	`log-prod` `exp-sum`
9×	`distribute-lft-out`
8×	`add-cube-cbrt` `associate-r` `add-log-exp`
6×	`pow1`
5×	`add-cbrt-cube`
4×	`add-exp-log` `log-div` `exp-prod` `exp-diff`
3×	`flip3-+` `associate-l` `sum-log` `flip-+`
2×	`associate-*r/` `unswap-sqr`
1×	`+-commutative` `associate-+l+` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `rem-exp-log`

Counts

3 → 60

Calls

3 calls:

6.0ms	(+ (+ 10.0 d2) 20.0)
10.0ms	(* d1 (exp (log (+ (+ 10.0 d2) 20.0))))
6.0ms	(exp (log (+ (+ 10.0 d2) 20.0)))

series67.0ms

Counts

3 → 9

Calls

3 calls:

16.0ms	(+ (+ 10.0 d2) 20.0)
36.0ms	(* d1 (exp (log (+ (+ 10.0 d2) 20.0))))
16.0ms	(exp (log (+ (+ 10.0 d2) 20.0)))

simplify78.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 3 (73.0ms)

Iter	Nodes	Cost
0	195	302
1	770	268
2	3668	261
3	5003	255

prune92.0ms

Filtered

69 candidates to 43 candidates (62.3%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	69	4	73

Merged error: 0b

Counts

73 → 4

regimes34.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	3
1	10	3

end0.0ms

sample409.0ms

Algorithm

intervals

Results

252.0ms	8995×	body	80	valid
7.0ms	60×	body	1280	valid
4.0ms	26×	body	320	valid
4.0ms	37×	body	640	valid
1.0ms	12×	body	160	valid