Details

sample41.0ms

Algorithm

intervals

Results

12.0ms	44×	body	1280	valid
9.0ms	175×	body	80	valid
7.0ms	38×	body	640	valid
1.0ms	10×	body	320	valid
1.0ms	10×	body	160	valid

simplify11.0ms

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.1b	(/ (sin y) y)
2.9b	(/ (* x (/ (sin y) y)) z)

rewrite39.0ms

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:

14.0ms	(* x (/ (sin y) y))
8.0ms	(/ (sin y) y)
14.0ms	(/ (* x (/ (sin y) y)) z)

series153.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(* x (/ (sin y) y))
28.0ms	(/ (sin y) y)
73.0ms	(/ (* x (/ (sin y) y)) z)

simplify44.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 1 (10.0ms)

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

prune210.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (/ 1 (/ y (sin y))))
0.1b	(/ y (sin y))
0.2b	(/ 1 (/ y (sin y)))
2.9b	(/ (* x (/ 1 (/ y (sin y)))) z)

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

159×	`times-frac`
106×	`add-sqr-sqrt`
94×	`*-un-lft-identity`
92×	`add-cube-cbrt`
64×	`add-exp-log`
44×	`associate-r`
34×	`add-cbrt-cube`
30×	`div-exp`
19×	`associate-/r*`
14×	`cbrt-undiv` `prod-exp`
11×	`div-inv`
7×	`pow1` `associate-/l*`
6×	`rec-exp` `1-exp` `cbrt-unprod`
5×	`unswap-sqr`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `associate-l` `clear-num`
2×	`associate-*r/` `associate-/r/` `un-div-inv` `associate-/l/`
1×	`pow-flip` `pow-prod-down` `*-commutative` `inv-pow`

Counts

4 → 215

Calls

4 calls:

32.0ms	(* x (/ 1 (/ y (sin y))))
5.0ms	(/ y (sin y))
11.0ms	(/ 1 (/ y (sin y)))
23.0ms	(/ (* x (/ 1 (/ y (sin y)))) z)

series175.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(* x (/ 1 (/ y (sin y))))
23.0ms	(/ y (sin y))
29.0ms	(/ 1 (/ y (sin y)))
69.0ms	(/ (* x (/ 1 (/ y (sin y)))) z)

simplify87.0ms

Algorithm

egg-herbie

Counts

227 → 227

Iterations

Useful iterations: 2 (71.0ms)

Iter	Nodes	Cost
0	720	1479
1	3714	1260
2	5002	1123

prune433.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ x (/ y (sin y)))
0.1b	(/ y (sin y))
2.9b	(/ (* 1 (/ x (/ y (sin y)))) z)

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

87×	`times-frac`
55×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
33×	`add-exp-log`
24×	`add-cbrt-cube`
19×	`associate-/r*`
17×	`div-exp`
11×	`cbrt-undiv`
7×	`div-inv` `associate-/l*`
6×	`prod-exp`
3×	`pow1` `expm1-log1p-u` `frac-2neg` `1-exp` `clear-num` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
1×	`associate-*r/` `associate-/r/` `associate-/l/`

Counts

3 → 132

Calls

3 calls:

10.0ms	(/ x (/ y (sin y)))
6.0ms	(/ y (sin y))
18.0ms	(/ (* 1 (/ x (/ y (sin y)))) z)

series156.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(/ x (/ y (sin y)))
24.0ms	(/ y (sin y))
74.0ms	(/ (* 1 (/ x (/ y (sin y)))) z)

simplify72.0ms

Algorithm

egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	559	957
1	2793	874
2	5002	866

prune339.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (/ 1 (/ y (sin y))))
0.1b	(/ y (sin y))
0.2b	(/ 1 (/ y (sin y)))
2.9b	(/ (* 1 (* x (/ 1 (/ y (sin y))))) z)

rewrite113.0ms

Algorithm

rewrite-expression-head

Rules

159×	`times-frac`
106×	`add-sqr-sqrt`
102×	`add-exp-log`
94×	`*-un-lft-identity`
92×	`add-cube-cbrt`
46×	`div-exp`
44×	`associate-r`
40×	`add-cbrt-cube`
37×	`prod-exp`
19×	`associate-/r*`
16×	`1-exp`
15×	`cbrt-undiv`
11×	`div-inv`
10×	`cbrt-unprod`
8×	`rec-exp`
7×	`pow1` `associate-/l*`
5×	`unswap-sqr`
4×	`expm1-log1p-u` `associate-*r/` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `associate-l` `clear-num`
2×	`associate-/r/` `un-div-inv` `associate-/l/`
1×	`pow-flip` `pow-prod-down` `*-commutative` `inv-pow`

Counts

4 → 225

Calls

4 calls:

35.0ms	(* x (/ 1 (/ y (sin y))))
6.0ms	(/ y (sin y))
11.0ms	(/ 1 (/ y (sin y)))
50.0ms	(/ (* 1 (* x (/ 1 (/ y (sin y))))) z)

series182.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(* x (/ 1 (/ y (sin y))))
24.0ms	(/ y (sin y))
26.0ms	(/ 1 (/ y (sin y)))
76.0ms	(/ (* 1 (* x (/ 1 (/ y (sin y))))) z)

simplify101.0ms

Algorithm

egg-herbie

Counts

237 → 237

Iterations

Useful iterations: 2 (85.0ms)

Iter	Nodes	Cost
0	838	1581
1	4236	1354
2	5002	1190

prune433.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

regimes233.0ms

Accuracy

88.7% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 2.7b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	16
1	30	16
2	30	16

end0.0ms

sample1.1s

Algorithm

intervals

Results

272.0ms	1016×	body	1280	valid
238.0ms	5845×	body	80	valid
195.0ms	1047×	body	640	valid
71.0ms	571×	body	320	valid
36.0ms	307×	body	160	valid