Details

sample39.0ms

Algorithm

intervals

Results

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

simplify10.0ms

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)

rewrite44.0ms

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×	`associate-l` `div-inv` `add-log-exp`
2×	`frac-2neg` `associate-*r/` `clear-num` `unswap-sqr`
1×	`pow-prod-down` `*-commutative` `associate-/l/`

Counts

3 → 83

Calls

3 calls:

15.0ms	(* x (/ (sin y) y))
12.0ms	(/ (sin y) y)
15.0ms	(/ (* x (/ (sin y) y)) z)

series153.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(* x (/ (sin y) y))
26.0ms	(/ (sin y) y)
73.0ms	(/ (* x (/ (sin y) y)) z)

simplify49.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	326	487
1	1643	420
2	5001	420

prune196.0ms

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)

rewrite85.0ms

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×	`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 → 207

Calls

4 calls:

33.0ms	(* x (/ 1 (/ y (sin y))))
6.0ms	(/ y (sin y))
11.0ms	(/ 1 (/ y (sin y)))
24.0ms	(/ (* x (/ 1 (/ y (sin y)))) z)

series182.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(* x (/ 1 (/ y (sin y))))
23.0ms	(/ y (sin y))
30.0ms	(/ 1 (/ y (sin y)))
72.0ms	(/ (* x (/ 1 (/ y (sin y)))) z)

simplify86.0ms

Algorithm

egg-herbie

Counts

219 → 219

Iterations

Useful iterations: 2 (73.0ms)

Iter	Nodes	Cost
0	709	1445
1	3691	1227
2	5003	1090

prune408.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

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)

rewrite43.0ms

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` `frac-2neg` `1-exp` `clear-num` `cbrt-unprod` `add-log-exp`
1×	`associate-*r/` `associate-/r/` `associate-/l/`

Counts

3 → 126

Calls

3 calls:

10.0ms	(/ x (/ y (sin y)))
9.0ms	(/ y (sin y))
19.0ms	(/ (* 1 (/ x (/ y (sin y)))) z)

series156.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(/ x (/ y (sin y)))
24.0ms	(/ y (sin y))
78.0ms	(/ (* 1 (/ x (/ y (sin y)))) z)

simplify72.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	551	933
1	2779	850
2	5002	842

prune314.0ms

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)

rewrite117.0ms

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×	`associate-*r/` `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 → 217

Calls

4 calls:

35.0ms	(* x (/ 1 (/ y (sin y))))
6.0ms	(/ y (sin y))
11.0ms	(/ 1 (/ y (sin y)))
54.0ms	(/ (* 1 (* x (/ 1 (/ y (sin y))))) z)

series185.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(* x (/ 1 (/ y (sin y))))
23.0ms	(/ y (sin y))
26.0ms	(/ 1 (/ y (sin y)))
76.0ms	(/ (* 1 (* x (/ 1 (/ y (sin y))))) z)

simplify95.0ms

Algorithm

egg-herbie

Counts

229 → 229

Iterations

Useful iterations: 2 (80.0ms)

Iter	Nodes	Cost
0	827	1545
1	4213	1319
2	5001	1155

prune414.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

regimes239.0ms

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

283.0ms	1016×	body	1280	valid
238.0ms	5845×	body	80	valid
186.0ms	1047×	body	640	valid
71.0ms	571×	body	320	valid
27.0ms	307×	body	160	valid