Details

sample40.0ms

Algorithm

intervals

Results

10.0ms	187×	body	80	valid
9.0ms	32×	body	1280	valid
6.0ms	31×	body	640	valid
3.0ms	19×	body	320	valid
1.0ms	14×	body	160	valid

simplify13.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	12	4
1	24	4
2	48	4
3	71	4
4	79	4
5	79	4

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.1b

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.1b	(/ (sin y) y)
1.1b	(/ (* x (/ (sin y) y)) z)

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
22×	`times-frac`
21×	`add-cube-cbrt` `*-un-lft-identity`
19×	`add-exp-log` `add-cbrt-cube`
13×	`associate-r`
6×	`cbrt-undiv` `div-exp` `associate-/r*`
5×	`pow1`
4×	`prod-exp` `cbrt-unprod` `associate-/l*`
3×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`frac-2neg` `associate-*r/` `clear-num` `unswap-sqr`
1×	`pow-prod-down` `*-commutative` `associate-/l/`

Counts

3 → 89

Calls

3 calls:

17.0ms	(* x (/ (sin y) y))
9.0ms	(/ (sin y) y)
14.0ms	(/ (* x (/ (sin y) y)) z)

series138.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(* x (/ (sin y) y))
28.0ms	(/ (sin y) y)
63.0ms	(/ (* x (/ (sin y) y)) z)

simplify47.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	333	511
1	1655	443
2	5001	443

prune302.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.1b	(/ (sin y) y)
0.3b	(/ 1 (/ z (* x (/ (sin y) y))))
1.0b	(/ z (* x (/ (sin y) y)))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

58×	`times-frac`
54×	`add-exp-log`
44×	`add-sqr-sqrt`
39×	`add-cube-cbrt` `*-un-lft-identity`
34×	`add-cbrt-cube`
26×	`div-exp`
14×	`cbrt-undiv`
13×	`associate-r`
12×	`associate-/r*`
10×	`prod-exp`
9×	`associate-/l*`
8×	`div-inv`
7×	`pow1`
6×	`associate-*r/` `associate-/r/` `cbrt-unprod`
4×	`expm1-log1p-u` `rec-exp` `1-exp` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `associate-l` `clear-num`
2×	`unswap-sqr`
1×	`pow-flip` `pow-prod-down` `*-commutative` `inv-pow`

Counts

4 → 155

Calls

4 calls:

14.0ms	(* x (/ (sin y) y))
10.0ms	(/ (sin y) y)
20.0ms	(/ 1 (/ z (* x (/ (sin y) y))))
11.0ms	(/ z (* x (/ (sin y) y)))

series233.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* x (/ (sin y) y))
24.0ms	(/ (sin y) y)
66.0ms	(/ 1 (/ z (* x (/ (sin y) y))))
94.0ms	(/ z (* x (/ (sin y) y)))

simplify78.0ms

Algorithm

egg-herbie

Counts

167 → 167

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	518	1041
1	2809	893
2	5001	852

prune435.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ 1 (* x (/ (sin y) y)))
0.1b	(* x (/ (sin y) y))
0.1b	(/ (sin y) y)
1.3b	(/ (/ 1 z) (/ 1 (* x (/ (sin y) y))))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

249×	`times-frac`
170×	`add-exp-log`
118×	`add-sqr-sqrt`
113×	`add-cube-cbrt` `*-un-lft-identity`
107×	`div-exp`
52×	`add-cbrt-cube`
32×	`prod-exp`
27×	`div-inv`
26×	`cbrt-undiv`
25×	`rec-exp` `1-exp`
19×	`associate-/l*`
16×	`associate-*r/` `associate-/r/`
13×	`associate-r`
12×	`associate-/r*`
9×	`pow1`
8×	`cbrt-unprod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `associate-l` `clear-num`
2×	`pow-flip` `pow-prod-down` `unswap-sqr`
1×	`*-commutative` `associate-/l/` `inv-pow`

Counts

4 → 285

Calls

4 calls:

16.0ms	(/ 1 (* x (/ (sin y) y)))
16.0ms	(* x (/ (sin y) y))
8.0ms	(/ (sin y) y)
27.0ms	(/ (/ 1 z) (/ 1 (* x (/ (sin y) y))))

series192.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(/ 1 (* x (/ (sin y) y)))
52.0ms	(* x (/ (sin y) y))
24.0ms	(/ (sin y) y)
68.0ms	(/ (/ 1 z) (/ 1 (* x (/ (sin y) y))))

simplify58.0ms

Algorithm

egg-herbie

Counts

297 → 297

Iterations

Useful iterations: 1 (29.0ms)

Iter	Nodes	Cost
0	1172	2560
1	5001	2172

prune689.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.1b	(/ (sin y) y)
0.3b	(/ (/ 1 1) (/ z (* x (/ (sin y) y))))
1.0b	(/ z (* x (/ (sin y) y)))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

249×	`times-frac`
118×	`add-sqr-sqrt`
114×	`add-exp-log`
113×	`add-cube-cbrt` `*-un-lft-identity`
78×	`div-exp`
52×	`add-cbrt-cube`
27×	`div-inv`
26×	`cbrt-undiv`
20×	`1-exp`
19×	`associate-/l*`
18×	`prod-exp`
16×	`associate-*r/` `associate-/r/`
13×	`associate-r`
12×	`associate-/r*`
8×	`rec-exp` `cbrt-unprod`
6×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `associate-l` `clear-num`
2×	`unswap-sqr`
1×	`pow-prod-down` `*-commutative` `associate-/l/`

Counts

4 → 264

Calls

4 calls:

17.0ms	(* x (/ (sin y) y))
8.0ms	(/ (sin y) y)
22.0ms	(/ (/ 1 1) (/ z (* x (/ (sin y) y))))
10.0ms	(/ z (* x (/ (sin y) y)))

series238.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(* x (/ (sin y) y))
29.0ms	(/ (sin y) y)
63.0ms	(/ (/ 1 1) (/ z (* x (/ (sin y) y))))
97.0ms	(/ z (* x (/ (sin y) y)))

simplify57.0ms

Algorithm

egg-herbie

Counts

276 → 276

Iterations

Useful iterations: 1 (29.0ms)

Iter	Nodes	Cost
0	1155	2186
1	5001	1860

prune535.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes200.0ms

Accuracy

80.1% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 3.1b

bsearch116.0ms

Steps

Iters	Range		Point
8	6.535728911814876e+58	2.600769674008846e+63	1.7851718200483746e+61
9	-2.6934196445595938e+110	-8.675159532218854e+100	-1.2864543215169228e+106

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	21
1	28	21

end0.0ms

sample1.1s

Algorithm

intervals

Results

311.0ms	1023×	body	1280	valid
253.0ms	5840×	body	80	valid
199.0ms	1033×	body	640	valid
76.0ms	540×	body	320	valid
31.0ms	292×	body	160	valid