Details

sample63.0ms

Algorithm

intervals

Results

16.0ms	192×	body	80	valid
9.0ms	140×	body	80	nan
8.0ms	25×	body	1280	valid
6.0ms	24×	body	640	valid
3.0ms	11×	body	1280	nan
2.0ms	11×	body	640	nan
2.0ms	12×	body	320	nan
1.0ms	7×	body	320	valid
1.0ms	8×	body	160	valid
1.0ms	5×	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: 15.5b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- x y) (- 1.0 y))
2.0b	(- 1.0 (/ (- x y) (- 1.0 y)))
4.9b	(log (- 1.0 (/ (- x y) (- 1.0 y))))

rewrite53.0ms

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

series175.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(/ (- x y) (- 1.0 y))
53.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
85.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

simplify39.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 2 (31.0ms)

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

prune224.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.3b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- x y))
0.5b	(cbrt (- x y))
4.9b	(log (- 1.0 (* (* (cbrt (- x y)) (cbrt (- x y))) (/ (cbrt (- x y)) (- 1.0 y)))))
10.2b	(- 1.0 (* (* (cbrt (- x y)) (cbrt (- x y))) (/ (cbrt (- x y)) (- 1.0 y))))

rewrite9.0ms

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:

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

series439.0ms

Counts

4 → 12

Calls

4 calls:

150.0ms	(cbrt (- x y))
151.0ms	(cbrt (- x y))
85.0ms	(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))))

simplify95.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 3 (87.0ms)

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

prune212.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.3b

localize12.0ms

Local error

Found 4 expressions with local error:

2.0b	(- 1.0 (/ (- x y) (- 1.0 y)))
2.0b	(- 1.0 (/ (- x y) (- 1.0 y)))
2.0b	(- 1.0 (/ (- x y) (- 1.0 y)))
4.9b	(log (* (* (cbrt (- 1.0 (/ (- x y) (- 1.0 y)))) (cbrt (- 1.0 (/ (- x y) (- 1.0 y))))) (cbrt (- 1.0 (/ (- x y) (- 1.0 y))))))

rewrite250.0ms

Algorithm

rewrite-expression-head

Rules

54×	`cbrt-div`
30×	`flip3--` `flip--`
28×	`frac-times`
26×	`log-div`
24×	`pow1`
19×	`add-sqr-sqrt`
15×	`log-pow`
14×	`associate-*l/`
10×	`add-exp-log` `*-un-lft-identity` `add-log-exp`
9×	`pow1/3` `pow-prod-up`
8×	`associate-*r/`
6×	`pow-plus` `difference-of-squares`
5×	`pow-prod-down`
4×	`add-cube-cbrt` `add-cbrt-cube`
3×	`sub-neg` `times-frac` `diff-log` `div-sub` `rem-log-exp` `prod-exp` `pow-sqr` `distribute-lft-out--` `associate--r-`
2×	`pow2`
1×	`log-prod` `pow3`

Counts

4 → 100

Calls

4 calls:

18.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
18.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
19.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
188.0ms	(log (* (* (cbrt (- 1.0 (/ (- x y) (- 1.0 y)))) (cbrt (- 1.0 (/ (- x y) (- 1.0 y))))) (cbrt (- 1.0 (/ (- x y) (- 1.0 y))))))

series234.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
52.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
49.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
83.0ms	(log (* (* (cbrt (- 1.0 (/ (- x y) (- 1.0 y)))) (cbrt (- 1.0 (/ (- x y) (- 1.0 y))))) (cbrt (- 1.0 (/ (- x y) (- 1.0 y))))))

simplify101.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 3 (72.0ms)

Iter	Nodes	Cost
0	364	2052
1	697	1902
2	2199	1750
3	5002	1689

prune402.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.2b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (- 1.0 (/ (- x y) (- 1.0 y))))
2.0b	(- 1.0 (/ (- x y) (- 1.0 y)))
2.5b	(log (exp (- 1.0 (/ (- x y) (- 1.0 y)))))
4.9b	(log (log (exp (- 1.0 (/ (- x y) (- 1.0 y))))))

rewrite246.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 76

Calls

4 calls:

87.0ms	(exp (- 1.0 (/ (- x y) (- 1.0 y))))
19.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
75.0ms	(log (exp (- 1.0 (/ (- x y) (- 1.0 y)))))
58.0ms	(log (log (exp (- 1.0 (/ (- x y) (- 1.0 y))))))

series283.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(exp (- 1.0 (/ (- x y) (- 1.0 y))))
52.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
49.0ms	(log (exp (- 1.0 (/ (- x y) (- 1.0 y)))))
111.0ms	(log (log (exp (- 1.0 (/ (- x y) (- 1.0 y))))))

simplify72.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (19.0ms)

Iter	Nodes	Cost
0	295	685
1	830	605
2	2929	597
3	5002	597

prune197.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.2b

regimes172.0ms

Accuracy

99.3% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 17.3b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	26
1	33	26

end0.0ms

sample1.8s

Algorithm

intervals

Results

501.0ms	5699×	body	80	valid
268.0ms	801×	body	1280	valid
249.0ms	3688×	body	80	nan
197.0ms	785×	body	640	valid
101.0ms	341×	body	1280	nan
86.0ms	449×	body	320	valid
83.0ms	362×	body	640	nan
38.0ms	200×	body	320	nan
36.0ms	266×	body	160	valid
14.0ms	118×	body	160	nan