Details

analyze107.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
50%	50%	0.1%	6
56.2%	40.6%	3.2%	7
68.7%	25%	6.3%	8
71.8%	19.5%	8.7%	9
78%	12.5%	9.5%	10
79.6%	9.6%	10.8%	11
82.7%	6.2%	11%	12
83.5%	4.7%	11.8%	13
85.1%	3.1%	11.8%	14

sample19.0ms

Algorithm

intervals

Results

8.0ms	252×	body	80	valid
0.0ms	2×	body	1280	valid
0.0ms	2×	body	640	valid
0.0ms	3×	body	80	invalid

simplify14.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

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

prune13.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.0b

Counts

2 → 1

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite21.0ms

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:

9.0ms	(* d1 (+ (+ 10.0 d2) 20.0))
11.0ms	(+ (+ 10.0 d2) 20.0)

series7.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(* d1 (+ (+ 10.0 d2) 20.0))
2.0ms	(+ (+ 10.0 d2) 20.0)

simplify126.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 2 (34.0ms)

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

prune71.0ms

Filtered

28 candidates to 45 candidates (-60.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	42	3	45
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	42	4	46

Merged error: 0b

Counts

46 → 4

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(* d1 (+ d2 30.0))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 23

Calls

1 calls:

6.0ms

(* d1 (+ d2 30.0))

series7.0ms

Counts

1 → 3

Calls

1 calls:

7.0ms

(* d1 (+ d2 30.0))

simplify62.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	126	86
1	534	76
2	2147	76
3	5001	76

prune45.0ms

Filtered

16 candidates to 26 candidates (-62.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	26	0	26
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	26	4	30

Merged error: 0b

Counts

30 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (+ (+ 10.0 d2) 20.0))
0.0b	(+ (+ 10.0 d2) 20.0)
0.0b	(* d1 (exp (log (+ (+ 10.0 d2) 20.0))))
1.8b	(exp (log (+ (+ 10.0 d2) 20.0)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 76

Calls

4 calls:

9.0ms	(log (+ (+ 10.0 d2) 20.0))
8.0ms	(+ (+ 10.0 d2) 20.0)
10.0ms	(* d1 (exp (log (+ (+ 10.0 d2) 20.0))))
7.0ms	(exp (log (+ (+ 10.0 d2) 20.0)))

series18.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(log (+ (+ 10.0 d2) 20.0))
2.0ms	(+ (+ 10.0 d2) 20.0)
8.0ms	(* d1 (exp (log (+ (+ 10.0 d2) 20.0))))
4.0ms	(exp (log (+ (+ 10.0 d2) 20.0)))

simplify35.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	269	428
1	1009	379
2	5001	371

prune131.0ms

Filtered

56 candidates to 88 candidates (-57.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	88	0	88
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	88	4	92

Merged error: 0b

Counts

92 → 4

localize11.0ms

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)
16.6b	(cbrt (pow (+ (+ 10.0 d2) 20.0) 3))

rewrite48.0ms

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:

12.0ms	(* d1 (cbrt (pow (+ (+ 10.0 d2) 20.0) 3)))
10.0ms	(+ (+ 10.0 d2) 20.0)
11.0ms	(pow (+ (+ 10.0 d2) 20.0) 3)
11.0ms	(cbrt (pow (+ (+ 10.0 d2) 20.0) 3))

series12.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(* d1 (cbrt (pow (+ (+ 10.0 d2) 20.0) 3)))
2.0ms	(+ (+ 10.0 d2) 20.0)
2.0ms	(pow (+ (+ 10.0 d2) 20.0) 3)
2.0ms	(cbrt (pow (+ (+ 10.0 d2) 20.0) 3))

simplify62.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 2 (48.0ms)

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

prune162.0ms

Filtered

63 candidates to 123 candidates (-95.2%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	123	0	123
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	123	4	127

Merged error: 0b

Counts

127 → 4

regimes110.0ms

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

analyze78.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
50%	50%	0.1%	6
56.2%	40.6%	3.2%	7
68.7%	25%	6.3%	8
71.8%	19.5%	8.7%	9
78%	12.5%	9.5%	10
79.6%	9.6%	10.8%	11
82.7%	6.2%	11%	12
83.5%	4.7%	11.8%	13
85.1%	3.1%	11.8%	14

sample520.0ms

Algorithm

intervals

Results

323.0ms	7830×	body	80	valid
14.0ms	74×	body	1280	valid
7.0ms	56×	body	640	valid
7.0ms	79×	body	80	invalid
4.0ms	31×	body	320	valid
1.0ms	9×	body	160	valid

Details

analyze107.0ms

sample19.0ms

simplify14.0ms

prune13.0ms

localize11.0ms

rewrite21.0ms

series7.0ms

simplify126.0ms

prune71.0ms

localize4.0ms

rewrite6.0ms

series7.0ms

simplify62.0ms

prune45.0ms

localize9.0ms

rewrite38.0ms

series18.0ms

simplify35.0ms

prune131.0ms

localize11.0ms

rewrite48.0ms

series12.0ms

simplify62.0ms

prune162.0ms

regimes110.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze78.0ms

sample520.0ms

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