Details

sample40.0ms

Algorithm

intervals

Results

7.0ms	188×	body	80	valid
4.0ms	21×	body	1280	valid
4.0ms	27×	body	640	valid
3.0ms	127×	body	80	nan
3.0ms	20×	body	1280	nan
2.0ms	16×	body	640	nan
1.0ms	12×	body	320	valid
1.0ms	8×	body	160	valid
0.0ms	3×	body	320	nan
0.0ms	3×	body	160	nan

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: 16.6b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
0.0b	(/ (- x y) (- 1.0 y))
2.6b	(- 1.0 (/ (- x y) (- 1.0 y)))
5.2b	(log (- 1.0 (/ (- x y) (- 1.0 y))))

rewrite131.0ms

Algorithm

rewrite-expression-head

Rules

59×	`add-sqr-sqrt`
51×	`*-un-lft-identity`
28×	`times-frac`
19×	`difference-of-squares`
18×	`add-cube-cbrt`
17×	`distribute-lft-out--`
12×	`log-prod`
7×	`add-exp-log` `add-log-exp`
6×	`pow1` `flip3--` `add-cbrt-cube` `flip--` `associate--r+`
5×	`associate-/r` `associate-/l`
4×	`log-div`
3×	`associate--r-`
2×	`sub-neg` `diff-log` `div-sub` `associate-/r/` `log-pow` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `rem-log-exp` `clear-num` `div-inv`

Counts

4 → 108

Calls

4 calls:

37.0ms	(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
22.0ms	(/ (- x y) (- 1.0 y))
32.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
35.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

series254.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
34.0ms	(/ (- x y) (- 1.0 y))
52.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
81.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

simplify42.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	488	942
1	1388	894
2	5001	876

prune285.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- x y))
0.6b	(cbrt (- x y))
5.2b	(log (- 1.0 (* (* (cbrt (- x y)) (cbrt (- x y))) (/ (cbrt (- x y)) (- 1.0 y)))))
11.1b	(- 1.0 (* (* (cbrt (- x y)) (cbrt (- x y))) (/ (cbrt (- x y)) (- 1.0 y))))

rewrite18.0ms

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:

4.0ms	(cbrt (- x y))
4.0ms	(cbrt (- x y))
4.0ms	(log (- 1.0 (* (* (cbrt (- x y)) (cbrt (- x y))) (/ (cbrt (- x y)) (- 1.0 y)))))
5.0ms	(- 1.0 (* (* (cbrt (- x y)) (cbrt (- x y))) (/ (cbrt (- x y)) (- 1.0 y))))

series408.0ms

Counts

4 → 12

Calls

4 calls:

136.0ms	(cbrt (- x y))
143.0ms	(cbrt (- x y))
76.0ms	(log (- 1.0 (* (* (cbrt (- x y)) (cbrt (- x y))) (/ (cbrt (- x y)) (- 1.0 y)))))
53.0ms	(- 1.0 (* (* (cbrt (- x y)) (cbrt (- x y))) (/ (cbrt (- x y)) (- 1.0 y))))

simplify275.0ms

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

prune209.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

2.6b	(- 1.0 (/ (- x y) (- 1.0 y)))
5.2b	(log (- 1.0 (/ (- x y) (- 1.0 y))))
5.2b	(log (- 1.0 (/ (- x y) (- 1.0 y))))
5.2b	(log (- 1.0 (/ (- x y) (- 1.0 y))))

rewrite135.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 67

Calls

4 calls:

35.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
33.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))
31.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))
34.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

series281.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
77.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))
79.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))
76.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

simplify52.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 2 (13.0ms)

Iter	Nodes	Cost
0	194	742
1	481	673
2	1890	661
3	5002	661

prune298.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

5.2b	(log (/ (- (* 1.0 1.0) (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y)))) (+ 1.0 (/ (- x y) (- 1.0 y)))))
5.2b	(log (- 1.0 (/ (- x y) (- 1.0 y))))
5.2b	(log (- 1.0 (/ (- x y) (- 1.0 y))))
9.2b	(/ (- (* 1.0 1.0) (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y)))) (+ 1.0 (/ (- x y) (- 1.0 y))))

rewrite202.0ms

Algorithm

rewrite-expression-head

Rules

47×	`*-un-lft-identity`
35×	`add-sqr-sqrt`
34×	`log-prod` `times-frac`
25×	`add-cube-cbrt`
13×	`difference-of-squares`
11×	`add-exp-log`
9×	`distribute-lft-out`
7×	`pow1`
6×	`add-cbrt-cube`
5×	`log-div`
4×	`rem-log-exp` `associate-/r` `associate-/r/` `associate-/l` `add-log-exp`
3×	`flip3--` `log-pow` `flip--`
2×	`flip3-+` `div-exp` `flip-+` `div-inv` `associate-/l/` `distribute-lft-out--`
1×	`cbrt-undiv` `frac-2neg` `div-sub` `clear-num`

Counts

4 → 108

Calls

4 calls:

36.0ms	(log (/ (- (* 1.0 1.0) (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y)))) (+ 1.0 (/ (- x y) (- 1.0 y)))))
32.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))
31.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))
98.0ms	(/ (- (* 1.0 1.0) (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y)))) (+ 1.0 (/ (- x y) (- 1.0 y))))

series483.0ms

Counts

4 → 12

Calls

4 calls:

185.0ms	(log (/ (- (* 1.0 1.0) (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y)))) (+ 1.0 (/ (- x y) (- 1.0 y)))))
78.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))
80.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))
140.0ms	(/ (- (* 1.0 1.0) (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y)))) (+ 1.0 (/ (- x y) (- 1.0 y))))

simplify55.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	435	2102
1	1608	1948
2	5001	1930

prune489.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

regimes188.0ms

Accuracy

99.5% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 17.0b

bsearch1.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	25
1	32	25

end0.0ms

sample1.1s

Algorithm

intervals

Results

219.0ms	5734×	body	80	valid
152.0ms	788×	body	1280	valid
104.0ms	3774×	body	80	nan
103.0ms	778×	body	640	valid
50.0ms	340×	body	1280	nan
45.0ms	458×	body	320	valid
43.0ms	391×	body	640	nan
18.0ms	227×	body	320	nan
15.0ms	242×	body	160	valid
6.0ms	119×	body	160	nan