Details

sample34.0ms

Algorithm

intervals

Results

8.0ms	192×	body	80	valid
4.0ms	22×	body	1280	valid
3.0ms	23×	body	640	valid
3.0ms	95×	body	80	nan
2.0ms	15×	body	640	nan
1.0ms	14×	body	320	valid
1.0ms	8×	body	1280	nan
0.0ms	5×	body	320	nan
0.0ms	5×	body	160	valid
0.0ms	1×	body	160	nan

simplify20.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	19	6
1	29	6
2	41	6
3	60	6
4	78	6
5	94	6
6	109	6
7	139	6
8	214	6
9	279	6
10	279	6

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- x y) (- 1.0 y))
2.4b	(- 1.0 (/ (- x y) (- 1.0 y)))
3.9b	(log (- 1.0 (/ (- x y) (- 1.0 y))))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

50×	`add-sqr-sqrt`
44×	`*-un-lft-identity`
27×	`times-frac`
16×	`add-cube-cbrt` `difference-of-squares`
14×	`distribute-lft-out--`
6×	`add-exp-log` `log-prod`
5×	`associate-/r` `add-cbrt-cube` `associate-/l` `add-log-exp`
4×	`pow1` `flip3--` `flip--`
2×	`log-div` `div-sub` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-exp` `rem-log-exp` `clear-num` `log-pow` `div-inv` `associate--r-`

Counts

3 → 85

Calls

3 calls:

10.0ms	(/ (- x y) (- 1.0 y))
19.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
19.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

series207.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(/ (- x y) (- 1.0 y))
75.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
93.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

simplify42.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	397	707
1	1115	663
2	5001	658

prune235.0ms

Filtered

94 candidates to 69 candidates (73.4%)

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (- 1.0 y))
0.1b	(* (- x y) (/ 1 (- 1.0 y)))
3.9b	(log (- 1.0 (* (- x y) (/ 1 (- 1.0 y)))))
5.1b	(- 1.0 (* (- x y) (/ 1 (- 1.0 y))))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

48×	`add-sqr-sqrt`
42×	`*-un-lft-identity`
32×	`times-frac`
25×	`add-cube-cbrt`
21×	`associate-r`
18×	`add-exp-log`
11×	`add-cbrt-cube`
8×	`pow1` `distribute-lft-out--` `difference-of-squares`
6×	`flip3--` `flip--` `add-log-exp`
5×	`associate-l` `associate-/r*`
4×	`div-exp` `prod-exp` `associate-/r/`
3×	`log-prod` `associate-/l*` `unswap-sqr`
2×	`cbrt-undiv` `frac-times` `log-div` `rec-exp` `1-exp` `associate-*l/` `cbrt-unprod` `div-inv`
1×	`sub-neg` `pow-flip` `frac-2neg` `diff-log` `associate-r/` `rem-log-exp` `pow-prod-down` `clear-num` `log-pow` `un-div-inv` `-commutative` `inv-pow`

Counts

4 → 117

Calls

4 calls:

5.0ms	(/ 1 (- 1.0 y))
23.0ms	(* (- x y) (/ 1 (- 1.0 y)))
2.0ms	(log (- 1.0 (* (- x y) (/ 1 (- 1.0 y)))))
2.0ms	(- 1.0 (* (- x y) (/ 1 (- 1.0 y))))

series218.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(/ 1 (- 1.0 y))
39.0ms	(* (- x y) (/ 1 (- 1.0 y)))
93.0ms	(log (- 1.0 (* (- x y) (/ 1 (- 1.0 y)))))
58.0ms	(- 1.0 (* (- x y) (/ 1 (- 1.0 y))))

simplify60.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	480	836
1	2036	736
2	5001	688

prune261.0ms

Filtered

129 candidates to 83 candidates (64.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow (- 1.0 (/ (- x y) (- 1.0 y))) 3)
2.4b	(- 1.0 (/ (- x y) (- 1.0 y)))
3.9b	(log (cbrt (pow (- 1.0 (/ (- x y) (- 1.0 y))) 3)))
11.6b	(cbrt (pow (- 1.0 (/ (- x y) (- 1.0 y))) 3))

rewrite145.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt`
36×	`cbrt-prod`
28×	`*-un-lft-identity`
21×	`log-prod`
18×	`unpow-prod-down` `cube-prod`
14×	`add-cube-cbrt` `difference-of-squares`
7×	`times-frac` `distribute-lft-out--`
6×	`pow1` `add-exp-log` `cube-div` `add-log-exp`
5×	`add-cbrt-cube`
4×	`cbrt-div` `flip3--` `flip--`
3×	`cube-mult` `pow-unpow` `unpow3` `sqr-pow`
2×	`log-div` `pow1/3` `log-pow`
1×	`pow-to-exp` `sub-neg` `pow-pow` `diff-log` `div-sub` `rem-log-exp` `pow-exp` `rem-cbrt-cube` `associate--r-` `rem-cube-cbrt`

Counts

4 → 109

Calls

4 calls:

40.0ms	(pow (- 1.0 (/ (- x y) (- 1.0 y))) 3)
19.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
43.0ms	(log (cbrt (pow (- 1.0 (/ (- x y) (- 1.0 y))) 3)))
39.0ms	(cbrt (pow (- 1.0 (/ (- x y) (- 1.0 y))) 3))

series303.0ms

Counts

4 → 12

Calls

4 calls:

104.0ms	(pow (- 1.0 (/ (- x y) (- 1.0 y))) 3)
53.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
88.0ms	(log (cbrt (pow (- 1.0 (/ (- x y) (- 1.0 y))) 3)))
58.0ms	(cbrt (pow (- 1.0 (/ (- x y) (- 1.0 y))) 3))

simplify48.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	385	1171
1	1371	1074
2	5002	1061

prune238.0ms

Filtered

121 candidates to 69 candidates (57.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* (- x y) (/ 1 (- 1.0 y))) (* (- x y) (/ 1 (- 1.0 y))))
3.1b	(log (- (* 1.0 1.0) (* (* (- x y) (/ 1 (- 1.0 y))) (* (- x y) (/ 1 (- 1.0 y))))))
3.8b	(log (+ 1.0 (* (- x y) (/ 1 (- 1.0 y)))))
5.1b	(- (* 1.0 1.0) (* (* (- x y) (/ 1 (- 1.0 y))) (* (- x y) (/ 1 (- 1.0 y)))))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

106×	`add-exp-log`
65×	`prod-exp`
64×	`frac-times`
45×	`pow1`
40×	`add-cbrt-cube`
34×	`associate-*l/`
30×	`flip3--` `flip--`
21×	`cbrt-unprod`
20×	`associate-*r/` `div-exp`
17×	`pow-prod-down`
14×	`un-div-inv`
10×	`rec-exp` `1-exp`
7×	`log-prod`
6×	`cbrt-undiv` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
4×	`log-div` `pow-sqr` `pow-prod-up`
2×	`pow-plus` `rem-log-exp` `log-pow` `difference-of-squares`
1×	`pow2` `sub-neg` `flip3-+` `diff-log` `swap-sqr` `associate-r` `associate-l` `*-commutative` `flip-+`

Counts

4 → 150

Calls

4 calls:

56.0ms	(* (* (- x y) (/ 1 (- 1.0 y))) (* (- x y) (/ 1 (- 1.0 y))))
3.0ms	(log (- (* 1.0 1.0) (* (* (- x y) (/ 1 (- 1.0 y))) (* (- x y) (/ 1 (- 1.0 y))))))
2.0ms	(log (+ 1.0 (* (- x y) (/ 1 (- 1.0 y)))))
3.0ms	(- (* 1.0 1.0) (* (* (- x y) (/ 1 (- 1.0 y))) (* (- x y) (/ 1 (- 1.0 y)))))

series621.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(* (* (- x y) (/ 1 (- 1.0 y))) (* (- x y) (/ 1 (- 1.0 y))))
379.0ms	(log (- (* 1.0 1.0) (* (* (- x y) (/ 1 (- 1.0 y))) (* (- x y) (/ 1 (- 1.0 y))))))
86.0ms	(log (+ 1.0 (* (- x y) (/ 1 (- 1.0 y)))))
107.0ms	(- (* 1.0 1.0) (* (* (- x y) (/ 1 (- 1.0 y))) (* (- x y) (/ 1 (- 1.0 y)))))

simplify105.0ms

Algorithm

egg-herbie

Counts

162 → 162

Iterations

Useful iterations: 2 (81.0ms)

Iter	Nodes	Cost
0	848	1909
1	3477	1564
2	5002	1559

prune326.0ms

Filtered

162 candidates to 78 candidates (48.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

regimes139.0ms

Accuracy

99.7% (0.1b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 17.8b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	19
1	30	19

end0.0ms

sample1.0s

Algorithm

intervals

Results

223.0ms	5689×	body	80	valid
161.0ms	779×	body	1280	valid
113.0ms	807×	body	640	valid
106.0ms	3853×	body	80	nan
56.0ms	363×	body	1280	nan
50.0ms	427×	body	640	nan
49.0ms	472×	body	320	valid
19.0ms	224×	body	320	nan
17.0ms	253×	body	160	valid
6.0ms	106×	body	160	nan