Details

sample15.0ms

Algorithm

intervals

Results

7.0ms	286×	body	80	valid
0.0ms	1×	body	640	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	(+ (+ 10.0 d2) 20.0)
0.0b	(* d1 (+ (+ 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:

5.0ms	(+ (+ 10.0 d2) 20.0)
8.0ms	(* d1 (+ (+ 10.0 d2) 20.0))

series54.0ms

Counts

2 → 6

Calls

2 calls:

21.0ms	(+ (+ 10.0 d2) 20.0)
33.0ms	(* d1 (+ (+ 10.0 d2) 20.0))

simplify91.0ms

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	5003	156

prune67.0ms

Filtered

45 candidates to 28 candidates (62.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	43	2	45
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	44	3	47

Merged error: 0b

Counts

47 → 3

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(* d1 (* (sqrt (+ (+ 10.0 d2) 20.0)) (sqrt (+ (+ 10.0 d2) 20.0))))
0.0b	(sqrt (+ (+ 10.0 d2) 20.0))
0.0b	(sqrt (+ (+ 10.0 d2) 20.0))
0.1b	(* (sqrt (+ (+ 10.0 d2) 20.0)) (sqrt (+ (+ 10.0 d2) 20.0)))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

69×	`*-un-lft-identity`
48×	`sqrt-prod`
30×	`add-sqr-sqrt` `distribute-lft-out`
28×	`sqrt-div`
26×	`pow1`
16×	`swap-sqr`
15×	`add-cube-cbrt`
14×	`flip3-+` `flip-+`
12×	`associate-*r/`
11×	`add-exp-log` `associate-l` `add-cbrt-cube`
10×	`sqrt-pow1` `pow1/2`
9×	`associate-r`
8×	`frac-times`
6×	`pow-prod-down`
5×	`pow-prod-up` `unswap-sqr`
4×	`associate-*l/` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`pow-sqr`
2×	`rem-sqrt-square` `*-commutative`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt`

Counts

4 → 130

Calls

4 calls:

21.0ms	(* d1 (* (sqrt (+ (+ 10.0 d2) 20.0)) (sqrt (+ (+ 10.0 d2) 20.0))))
5.0ms	(sqrt (+ (+ 10.0 d2) 20.0))
5.0ms	(sqrt (+ (+ 10.0 d2) 20.0))
16.0ms	(* (sqrt (+ (+ 10.0 d2) 20.0)) (sqrt (+ (+ 10.0 d2) 20.0)))

series115.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(* d1 (* (sqrt (+ (+ 10.0 d2) 20.0)) (sqrt (+ (+ 10.0 d2) 20.0))))
37.0ms	(sqrt (+ (+ 10.0 d2) 20.0))
30.0ms	(sqrt (+ (+ 10.0 d2) 20.0))
17.0ms	(* (sqrt (+ (+ 10.0 d2) 20.0)) (sqrt (+ (+ 10.0 d2) 20.0)))

simplify51.0ms

Algorithm

egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	301	864
1	1323	752
2	5001	738

prune221.0ms

Filtered

142 candidates to 73 candidates (51.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	142	0	142
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	142	3	145

Merged error: 0b

Counts

145 → 3

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ (+ 10.0 d2) 20.0))
0.0b	(sqrt (+ (+ 10.0 d2) 20.0))
0.1b	(* d1 (sqrt (+ (+ 10.0 d2) 20.0)))
0.3b	(* (* d1 (sqrt (+ (+ 10.0 d2) 20.0))) (sqrt (+ (+ 10.0 d2) 20.0)))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

31×	`*-un-lft-identity`
21×	`sqrt-prod`
18×	`sqrt-div`
17×	`add-sqr-sqrt`
16×	`associate-r`
13×	`pow1`
12×	`distribute-lft-out`
11×	`add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
10×	`associate-*r/`
9×	`flip3-+` `flip-+`
4×	`frac-times` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-l/` `-commutative` `unswap-sqr`

Counts

4 → 91

Calls

4 calls:

6.0ms	(sqrt (+ (+ 10.0 d2) 20.0))
5.0ms	(sqrt (+ (+ 10.0 d2) 20.0))
9.0ms	(* d1 (sqrt (+ (+ 10.0 d2) 20.0)))
20.0ms	(* (* d1 (sqrt (+ (+ 10.0 d2) 20.0))) (sqrt (+ (+ 10.0 d2) 20.0)))

series157.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(sqrt (+ (+ 10.0 d2) 20.0))
29.0ms	(sqrt (+ (+ 10.0 d2) 20.0))
60.0ms	(* d1 (sqrt (+ (+ 10.0 d2) 20.0)))
32.0ms	(* (* d1 (sqrt (+ (+ 10.0 d2) 20.0))) (sqrt (+ (+ 10.0 d2) 20.0)))

simplify45.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	341	751
1	1492	653
2	5001	629

prune183.0ms

Filtered

103 candidates to 64 candidates (62.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	103	3	106

Merged error: 0b

Counts

106 → 3

regimes29.0ms

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

sample377.0ms

Algorithm

intervals

Results

221.0ms	9047×	body	80	valid
6.0ms	57×	body	1280	valid
4.0ms	46×	body	640	valid
2.0ms	26×	body	320	valid
0.0ms	7×	body	160	valid