Details

sample53.0ms

Algorithm

intervals

Results

11.0ms	175×	body	80	valid
11.0ms	35×	body	1280	valid
6.0ms	128×	body	80	nan
6.0ms	27×	body	640	valid
3.0ms	16×	body	640	nan
2.0ms	13×	body	320	valid
1.0ms	9×	body	320	nan
1.0ms	3×	body	1280	nan
1.0ms	6×	body	160	valid
0.0ms	1×	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: 19.9b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- x y) (- 1.0 y))
1.8b	(- 1.0 (/ (- x y) (- 1.0 y)))
5.6b	(log (- 1.0 (/ (- x y) (- 1.0 y))))

rewrite54.0ms

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:

11.0ms	(/ (- x y) (- 1.0 y))
21.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
19.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

series168.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(/ (- x y) (- 1.0 y))
51.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
82.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

simplify36.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 2 (28.0ms)

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

prune210.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (- 1.0 y))
0.2b	(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))
5.6b	(log (- 1.0 (* (/ 1 (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (/ (- x y) (cbrt (- 1.0 y))))))
13.7b	(- 1.0 (* (/ 1 (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (/ (- x y) (cbrt (- 1.0 y)))))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

33×	`cbrt-prod`
32×	`add-sqr-sqrt`
30×	`*-un-lft-identity`
14×	`add-cube-cbrt` `cbrt-div`
12×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `flip--`
8×	`associate-r` `associate-l`
7×	`add-exp-log` `pow1/3` `distribute-lft-out--`
6×	`add-log-exp`
5×	`difference-of-squares`
4×	`frac-times` `add-cbrt-cube` `unswap-sqr`
3×	`log-prod`
2×	`log-div` `associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `sub-neg` `pow-plus` `diff-log` `rem-log-exp` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod`

Counts

4 → 97

Calls

4 calls:

2.0ms	(cbrt (- 1.0 y))
19.0ms	(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))
4.0ms	(log (- 1.0 (* (/ 1 (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (/ (- x y) (cbrt (- 1.0 y))))))
2.0ms	(- 1.0 (* (/ 1 (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (/ (- x y) (cbrt (- 1.0 y)))))

series329.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(cbrt (- 1.0 y))
101.0ms	(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))
86.0ms	(log (- 1.0 (* (/ 1 (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (/ (- x y) (cbrt (- 1.0 y))))))
56.0ms	(- 1.0 (* (/ 1 (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (/ (- x y) (cbrt (- 1.0 y)))))

simplify54.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	471	1207
1	1615	1111
2	5001	1046

prune299.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y)))
1.8b	(- (* 1.0 1.0) (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y))))
3.3b	(log (- (* 1.0 1.0) (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y)))))
5.6b	(log (+ 1.0 (/ (- x y) (- 1.0 y))))

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

240×	`*-un-lft-identity`
166×	`add-sqr-sqrt`
152×	`times-frac`
76×	`distribute-lft-out--`
58×	`add-cube-cbrt`
55×	`swap-sqr`
50×	`difference-of-squares`
31×	`associate-r` `associate-l`
18×	`add-exp-log`
16×	`add-cbrt-cube`
13×	`pow1`
8×	`log-prod` `associate-/r/`
6×	`flip3--` `flip--` `add-log-exp`
4×	`cbrt-undiv` `log-div` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
2×	`rem-log-exp` `log-pow`
1×	`pow2` `frac-times` `sub-neg` `flip3-+` `pow-plus` `diff-log` `associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `*-commutative` `pow-prod-up` `flip-+` `distribute-lft-out`

Counts

4 → 188

Calls

4 calls:

57.0ms	(* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y)))
2.0ms	(- (* 1.0 1.0) (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y))))
3.0ms	(log (- (* 1.0 1.0) (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y)))))
19.0ms	(log (+ 1.0 (/ (- x y) (- 1.0 y))))

series743.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y)))
101.0ms	(- (* 1.0 1.0) (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y))))
314.0ms	(log (- (* 1.0 1.0) (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y)))))
281.0ms	(log (+ 1.0 (/ (- x y) (- 1.0 y))))

simplify110.0ms

Algorithm

egg-herbie

Counts

200 → 200

Iterations

Useful iterations: 2 (88.0ms)

Iter	Nodes	Cost
0	899	2342
1	4077	2154
2	5002	2099

prune447.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 4 expressions with local error:

3.3b	(log (- (* 1.0 1.0) (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y)))))
3.3b	(log (- (* 1.0 1.0) (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y)))))
3.3b	(log (- (* 1.0 1.0) (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y)))))
5.6b	(log (+ 1.0 (/ (- x y) (- 1.0 y))))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

16×	`log-prod`
10×	`*-un-lft-identity`
8×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `log-div`
4×	`rem-log-exp` `log-pow` `add-cbrt-cube` `add-log-exp`
3×	`flip3--` `flip--` `difference-of-squares`
1×	`flip3-+` `flip-+` `distribute-lft-out`

Counts

4 → 60

Calls

4 calls:

3.0ms	(log (- (* 1.0 1.0) (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y)))))
3.0ms	(log (- (* 1.0 1.0) (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y)))))
3.0ms	(log (- (* 1.0 1.0) (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y)))))
19.0ms	(log (+ 1.0 (/ (- x y) (- 1.0 y))))

series1.1s

Counts

4 → 12

Calls

4 calls:

325.0ms	(log (- (* 1.0 1.0) (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y)))))
323.0ms	(log (- (* 1.0 1.0) (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y)))))
324.0ms	(log (- (* 1.0 1.0) (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y)))))
80.0ms	(log (+ 1.0 (/ (- x y) (- 1.0 y))))

simplify97.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 2 (24.0ms)

Iter	Nodes	Cost
0	273	1088
1	804	971
2	3901	956
3	5002	956

prune281.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.1b

regimes82.0ms

Accuracy

99.6% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 16.6b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	26
1	33	26

end0.0ms

sample1.6s

Algorithm

intervals

Results

362.0ms	5715×	body	80	valid
266.0ms	809×	body	1280	valid
197.0ms	3822×	body	80	nan
182.0ms	769×	body	640	valid
99.0ms	365×	body	1280	nan
82.0ms	472×	body	320	valid
82.0ms	373×	body	640	nan
36.0ms	233×	body	320	nan
27.0ms	235×	body	160	valid
15.0ms	126×	body	160	nan