Details

sample37.0ms

Algorithm

intervals

Results

7.0ms	181×	body	80	valid
5.0ms	23×	body	1280	valid
4.0ms	32×	body	640	valid
4.0ms	135×	body	80	nan
2.0ms	16×	body	640	nan
2.0ms	16×	body	320	valid
1.0ms	9×	body	1280	nan
0.0ms	8×	body	160	nan
0.0ms	5×	body	320	nan
0.0ms	4×	body	160	valid

simplify18.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.8b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- x y) (- 1.0 y))
1.2b	(- 1.0 (/ (- x y) (- 1.0 y)))
3.5b	(log (- 1.0 (/ (- x y) (- 1.0 y))))

rewrite38.0ms

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))
13.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
13.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

series166.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(/ (- x y) (- 1.0 y))
48.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
81.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

simplify35.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 2 (27.0ms)

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

prune222.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- x y))
0.6b	(cbrt (- x y))
3.5b	(log (- 1.0 (* (* (cbrt (- x y)) (cbrt (- x y))) (/ (cbrt (- x y)) (- 1.0 y)))))
10.4b	(- 1.0 (* (* (cbrt (- x y)) (cbrt (- x y))) (/ (cbrt (- x y)) (- 1.0 y))))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`cbrt-prod`
7×	`add-cube-cbrt`
6×	`add-log-exp`
5×	`pow1` `add-exp-log`
4×	`cbrt-div` `flip3--` `add-cbrt-cube` `flip--`
3×	`log-prod`
2×	`log-div` `pow1/3` `distribute-lft-out--` `difference-of-squares`
1×	`sub-neg` `diff-log` `rem-log-exp` `log-pow`

Counts

4 → 56

Calls

4 calls:

3.0ms	(cbrt (- x y))
3.0ms	(cbrt (- x y))
2.0ms	(log (- 1.0 (* (* (cbrt (- x y)) (cbrt (- x y))) (/ (cbrt (- x y)) (- 1.0 y)))))
3.0ms	(- 1.0 (* (* (cbrt (- x y)) (cbrt (- x y))) (/ (cbrt (- x y)) (- 1.0 y))))

series418.0ms

Counts

4 → 12

Calls

4 calls:

141.0ms	(cbrt (- x y))
143.0ms	(cbrt (- x y))
81.0ms	(log (- 1.0 (* (* (cbrt (- x y)) (cbrt (- x y))) (/ (cbrt (- x y)) (- 1.0 y)))))
52.0ms	(- 1.0 (* (* (cbrt (- x y)) (cbrt (- x y))) (/ (cbrt (- x y)) (- 1.0 y))))

simplify89.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 3 (82.0ms)

Iter	Nodes	Cost
0	304	790
1	850	697
2	3564	675
3	5001	665

prune216.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 4 expressions with local error:

1.2b	(- 1.0 (/ (- x y) (- 1.0 y)))
1.2b	(- 1.0 (/ (- x y) (- 1.0 y)))
3.3b	(log (cbrt (- 1.0 (/ (- x y) (- 1.0 y)))))
3.3b	(log (cbrt (- 1.0 (/ (- x y) (- 1.0 y)))))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
18×	`log-prod`
16×	`*-un-lft-identity`
12×	`cbrt-prod`
8×	`add-cube-cbrt` `add-log-exp` `difference-of-squares`
6×	`pow1` `add-exp-log`
4×	`log-div` `cbrt-div` `flip3--` `times-frac` `log-pow` `add-cbrt-cube` `flip--` `distribute-lft-out--`
2×	`sub-neg` `pow1/3` `diff-log` `div-sub` `rem-log-exp` `associate--r-`

Counts

4 → 74

Calls

4 calls:

13.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
13.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
16.0ms	(log (cbrt (- 1.0 (/ (- x y) (- 1.0 y)))))
14.0ms	(log (cbrt (- 1.0 (/ (- x y) (- 1.0 y)))))

series321.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
49.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
111.0ms	(log (cbrt (- 1.0 (/ (- x y) (- 1.0 y)))))
108.0ms	(log (cbrt (- 1.0 (/ (- x y) (- 1.0 y)))))

simplify56.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 3 (47.0ms)

Iter	Nodes	Cost
0	238	846
1	522	782
2	1946	774
3	5003	760

prune282.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 4 expressions with local error:

0.3b	(- (log (- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3))) (log (+ (* 1.0 1.0) (+ (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y))) (* 1.0 (/ (- x y) (- 1.0 y)))))))
1.2b	(- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3))
12.2b	(log (- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3)))
12.8b	(log (+ (* 1.0 1.0) (+ (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y))) (* 1.0 (/ (- x y) (- 1.0 y))))))

rewrite179.0ms

Algorithm

rewrite-expression-head

Rules

148×	`add-sqr-sqrt`
73×	`difference-of-squares`
72×	`log-prod`
54×	`unpow-prod-down` `cube-prod`
42×	`*-un-lft-identity`
33×	`associate--l+`
30×	`sqr-pow`
24×	`times-frac`
19×	`distribute-lft-out--`
10×	`pow1`
8×	`add-cube-cbrt` `log-div`
6×	`add-exp-log` `log-pow` `add-log-exp`
4×	`flip3--` `add-cbrt-cube` `flip--`
3×	`difference-cubes` `associate--r+`
2×	`associate--l-` `sub-neg` `flip3-+` `diff-log` `rem-log-exp` `flip-+` `associate--r-`

Counts

4 → 157

Calls

4 calls:

66.0ms	(- (log (- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3))) (log (+ (* 1.0 1.0) (+ (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y))) (* 1.0 (/ (- x y) (- 1.0 y)))))))
44.0ms	(- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3))
41.0ms	(log (- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3)))
20.0ms	(log (+ (* 1.0 1.0) (+ (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y))) (* 1.0 (/ (- x y) (- 1.0 y))))))

series1.0s

Counts

4 → 12

Calls

4 calls:

347.0ms	(- (log (- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3))) (log (+ (* 1.0 1.0) (+ (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y))) (* 1.0 (/ (- x y) (- 1.0 y)))))))
172.0ms	(- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3))
321.0ms	(log (- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3)))
166.0ms	(log (+ (* 1.0 1.0) (+ (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y))) (* 1.0 (/ (- x y) (- 1.0 y))))))

simplify76.0ms

Algorithm

egg-herbie

Counts

169 → 169

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	600	3250
1	1795	3141
2	5002	3065

prune525.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

regimes98.0ms

Accuracy

99.6% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 17.1b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	25
1	32	25

end0.0ms

sample1.0s

Algorithm

intervals

Results

229.0ms	5721×	body	80	valid
161.0ms	790×	body	1280	valid
115.0ms	809×	body	640	valid
103.0ms	3644×	body	80	nan
59.0ms	351×	body	1280	nan
50.0ms	416×	body	640	nan
45.0ms	447×	body	320	valid
22.0ms	218×	body	320	nan
16.0ms	233×	body	160	valid
8.0ms	138×	body	160	nan