Details

sample16.0ms

Algorithm

intervals

Results

8.0ms	288×	body	80	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	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))

rewrite18.0ms

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

series49.0ms

Counts

2 → 6

Calls

2 calls:

16.0ms	(+ (+ 10.0 d2) 20.0)
33.0ms	(* 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

prune60.0ms

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

localize10.0ms

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)))
0.3b	(* d1 (* (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)))

rewrite82.0ms

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))
15.0ms	(* (cbrt (+ (+ 10.0 d2) 20.0)) (cbrt (+ (+ 10.0 d2) 20.0)))
16.0ms	(* d1 (* (cbrt (+ (+ 10.0 d2) 20.0)) (cbrt (+ (+ 10.0 d2) 20.0))))
37.0ms	(* (* d1 (* (cbrt (+ (+ 10.0 d2) 20.0)) (cbrt (+ (+ 10.0 d2) 20.0)))) (cbrt (+ (+ 10.0 d2) 20.0)))

series386.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(cbrt (+ (+ 10.0 d2) 20.0))
107.0ms	(* (cbrt (+ (+ 10.0 d2) 20.0)) (cbrt (+ (+ 10.0 d2) 20.0)))
144.0ms	(* d1 (* (cbrt (+ (+ 10.0 d2) 20.0)) (cbrt (+ (+ 10.0 d2) 20.0))))
44.0ms	(* (* d1 (* (cbrt (+ (+ 10.0 d2) 20.0)) (cbrt (+ (+ 10.0 d2) 20.0)))) (cbrt (+ (+ 10.0 d2) 20.0)))

simplify90.0ms

Algorithm

egg-herbie

Counts

166 → 166

Iterations

Useful iterations: 2 (70.0ms)

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

prune263.0ms

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

rewrite39.0ms

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:

6.0ms	(+ (+ 10.0 d2) 20.0)
6.0ms	(+ (+ 10.0 d2) 20.0)
9.0ms	(* d1 (sqrt (+ (+ 10.0 d2) 20.0)))
16.0ms	(* (* d1 (sqrt (+ (+ 10.0 d2) 20.0))) (sqrt (+ (+ 10.0 d2) 20.0)))

series155.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(+ (+ 10.0 d2) 20.0)
17.0ms	(+ (+ 10.0 d2) 20.0)
86.0ms	(* d1 (sqrt (+ (+ 10.0 d2) 20.0)))
36.0ms	(* (* d1 (sqrt (+ (+ 10.0 d2) 20.0))) (sqrt (+ (+ 10.0 d2) 20.0)))

simplify47.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (38.0ms)

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

prune150.0ms

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

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ 10.0 d2) (+ 10.0 d2))
0.0b	(pow (+ 10.0 d2) 3)
4.7b	(* d1 (+ (pow (+ 10.0 d2) 3) (pow 20.0 3)))
18.4b	(/ (* d1 (+ (pow (+ 10.0 d2) 3) (pow 20.0 3))) (+ (* (+ 10.0 d2) (+ 10.0 d2)) (- (* 20.0 20.0) (* (+ 10.0 d2) 20.0))))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

55×	`*-un-lft-identity`
22×	`flip3-+` `flip-+`
21×	`distribute-lft-out`
19×	`add-sqr-sqrt`
18×	`associate-/r/`
17×	`associate-r`
16×	`frac-add`
15×	`add-cube-cbrt`
14×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`frac-times` `unpow-prod-down` `cube-prod`
10×	`associate-*r/`
8×	`flip3--` `flip--`
7×	`associate-l`
6×	`swap-sqr` `associate-*l/`
4×	`add-log-exp`
3×	`pow-unpow` `times-frac` `prod-exp` `associate-/r*` `cbrt-unprod`
2×	`cbrt-undiv` `cube-div` `distribute-rgt-in` `distribute-lft-in` `div-exp` `pow-prod-down` `*-commutative` `associate-/l/` `unswap-sqr`
1×	`pow2` `cube-mult` `pow-to-exp` `pow-pow` `frac-2neg` `pow-plus` `unpow3` `pow-exp` `clear-num` `pow-sqr` `sum-cubes` `pow-prod-up` `div-inv` `associate-/l*` `rem-cube-cbrt` `sqr-pow`

Counts

4 → 140

Calls

4 calls:

8.0ms	(* (+ 10.0 d2) (+ 10.0 d2))
4.0ms	(pow (+ 10.0 d2) 3)
22.0ms	(* d1 (+ (pow (+ 10.0 d2) 3) (pow 20.0 3)))
29.0ms	(/ (* d1 (+ (pow (+ 10.0 d2) 3) (pow 20.0 3))) (+ (* (+ 10.0 d2) (+ 10.0 d2)) (- (* 20.0 20.0) (* (+ 10.0 d2) 20.0))))

series297.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(* (+ 10.0 d2) (+ 10.0 d2))
27.0ms	(pow (+ 10.0 d2) 3)
71.0ms	(* d1 (+ (pow (+ 10.0 d2) 3) (pow 20.0 3)))
184.0ms	(/ (* d1 (+ (pow (+ 10.0 d2) 3) (pow 20.0 3))) (+ (* (+ 10.0 d2) (+ 10.0 d2)) (- (* 20.0 20.0) (* (+ 10.0 d2) 20.0))))

simplify44.0ms

Algorithm

egg-herbie

Counts

152 → 152

Iterations

Useful iterations: 1 (27.0ms)

Iter	Nodes	Cost
0	905	1575
1	5001	1433

prune320.0ms

Filtered

152 candidates to 91 candidates (59.9%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	152	0	152
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	152	4	156

Merged error: 0b

Counts

156 → 4

regimes37.0ms

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

sample408.0ms

Algorithm

intervals

Results

251.0ms	9010×	body	80	valid
7.0ms	54×	body	1280	valid
6.0ms	57×	body	640	valid
2.0ms	24×	body	320	valid
1.0ms	16×	body	160	valid

Details

sample16.0ms

simplify8.0ms

prune5.0ms

localize5.0ms

rewrite18.0ms

series49.0ms

simplify89.0ms

prune60.0ms

localize10.0ms

rewrite82.0ms

series386.0ms

simplify90.0ms

prune263.0ms

localize7.0ms

rewrite39.0ms

series155.0ms

simplify47.0ms

prune150.0ms

localize15.0ms

rewrite69.0ms

series297.0ms

simplify44.0ms

prune320.0ms

regimes37.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample408.0ms

Profiling