Details

sample20.0ms

Algorithm

intervals

Results

7.0ms	284×	body	80	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

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

prune9.0ms

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))

series55.0ms

Counts

2 → 6

Calls

2 calls:

21.0ms	(+ (+ 10.0 d2) 20.0)
34.0ms	(* d1 (+ (+ 10.0 d2) 20.0))

simplify89.0ms

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

prune108.0ms

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

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (+ (+ 10.0 d2) 20.0))
0.2b	(* (cbrt (+ (+ 10.0 d2) 20.0)) (cbrt (+ (+ 10.0 d2) 20.0)))
0.4b	(* (* d1 (* (cbrt (+ (+ 10.0 d2) 20.0)) (cbrt (+ (+ 10.0 d2) 20.0)))) (cbrt (+ (+ 10.0 d2) 20.0)))
0.4b	(* d1 (* (cbrt (+ (+ 10.0 d2) 20.0)) (cbrt (+ (+ 10.0 d2) 20.0))))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

80×	`cbrt-div`
70×	`*-un-lft-identity`
46×	`cbrt-prod`
44×	`associate-*r/`
40×	`flip3-+` `flip-+`
36×	`frac-times`
30×	`distribute-lft-out`
25×	`pow1` `add-sqr-sqrt`
20×	`add-exp-log`
18×	`associate-*l/`
17×	`associate-r`
16×	`add-cube-cbrt`
14×	`swap-sqr`
12×	`associate-l`
11×	`pow-prod-down` `add-cbrt-cube`
10×	`prod-exp` `cbrt-unprod`
7×	`pow1/3`
5×	`unswap-sqr`
4×	`add-log-exp`
3×	`*-commutative`
2×	`pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus`

Counts

4 → 154

Calls

4 calls:

5.0ms	(cbrt (+ (+ 10.0 d2) 20.0))
14.0ms	(* (cbrt (+ (+ 10.0 d2) 20.0)) (cbrt (+ (+ 10.0 d2) 20.0)))
24.0ms	(* (* d1 (* (cbrt (+ (+ 10.0 d2) 20.0)) (cbrt (+ (+ 10.0 d2) 20.0)))) (cbrt (+ (+ 10.0 d2) 20.0)))
19.0ms	(* d1 (* (cbrt (+ (+ 10.0 d2) 20.0)) (cbrt (+ (+ 10.0 d2) 20.0))))

series398.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(cbrt (+ (+ 10.0 d2) 20.0))
115.0ms	(* (cbrt (+ (+ 10.0 d2) 20.0)) (cbrt (+ (+ 10.0 d2) 20.0)))
35.0ms	(* (* d1 (* (cbrt (+ (+ 10.0 d2) 20.0)) (cbrt (+ (+ 10.0 d2) 20.0)))) (cbrt (+ (+ 10.0 d2) 20.0)))
153.0ms	(* d1 (* (cbrt (+ (+ 10.0 d2) 20.0)) (cbrt (+ (+ 10.0 d2) 20.0))))

simplify89.0ms

Algorithm

egg-herbie

Counts

166 → 166

Iterations

Useful iterations: 2 (69.0ms)

Iter	Nodes	Cost
0	695	2206
1	2749	1992
2	5001	1848

prune426.0ms

Filtered

166 candidates to 91 candidates (54.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	166	0	166
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	166	4	170

Merged error: 0b

Counts

170 → 4

localize7.0ms

Local error

Found 4 expressions with local error:

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

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

5.0ms	(+ (+ 10.0 d2) 20.0)
6.0ms	(+ (+ 10.0 d2) 20.0)
8.0ms	(* d1 (sqrt (+ (+ 10.0 d2) 20.0)))
19.0ms	(* (* d1 (sqrt (+ (+ 10.0 d2) 20.0))) (sqrt (+ (+ 10.0 d2) 20.0)))

series161.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(+ (+ 10.0 d2) 20.0)
17.0ms	(+ (+ 10.0 d2) 20.0)
89.0ms	(* d1 (sqrt (+ (+ 10.0 d2) 20.0)))
33.0ms	(* (* d1 (sqrt (+ (+ 10.0 d2) 20.0))) (sqrt (+ (+ 10.0 d2) 20.0)))

simplify45.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	371	659
1	1686	575
2	5001	563

prune271.0ms

Filtered

99 candidates to 61 candidates (61.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	99	4	103

Merged error: 0b

Counts

103 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ 10.0 d2) 20.0)
0.0b	(* d1 (cbrt (pow (+ (+ 10.0 d2) 20.0) 3)))
0.0b	(pow (+ (+ 10.0 d2) 20.0) 3)
17.4b	(cbrt (pow (+ (+ 10.0 d2) 20.0) 3))

rewrite34.0ms

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:

5.0ms	(+ (+ 10.0 d2) 20.0)
12.0ms	(* d1 (cbrt (pow (+ (+ 10.0 d2) 20.0) 3)))
7.0ms	(pow (+ (+ 10.0 d2) 20.0) 3)
7.0ms	(cbrt (pow (+ (+ 10.0 d2) 20.0) 3))

series107.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(+ (+ 10.0 d2) 20.0)
33.0ms	(* d1 (cbrt (pow (+ (+ 10.0 d2) 20.0) 3)))
27.0ms	(pow (+ (+ 10.0 d2) 20.0) 3)
24.0ms	(cbrt (pow (+ (+ 10.0 d2) 20.0) 3))

simplify50.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 2 (40.0ms)

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

prune249.0ms

Filtered

123 candidates to 65 candidates (52.8%)

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

regimes80.0ms

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

sample497.0ms

Algorithm

intervals

Results

251.0ms	9109×	body	80	valid
6.0ms	50×	body	1280	valid
4.0ms	38×	body	640	valid
2.0ms	26×	body	320	valid
0.0ms	6×	body	160	valid

Details

sample20.0ms

simplify7.0ms

prune9.0ms

localize5.0ms

rewrite14.0ms

series55.0ms

simplify89.0ms

prune108.0ms

localize9.0ms

rewrite69.0ms

series398.0ms

simplify89.0ms

prune426.0ms

localize7.0ms

rewrite41.0ms

series161.0ms

simplify45.0ms

prune271.0ms

localize9.0ms

rewrite34.0ms

series107.0ms

simplify50.0ms

prune249.0ms

regimes80.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample497.0ms

Profiling