Details

sample30.0ms

Algorithm

intervals

Results

7.0ms	29×	body	1280	valid
6.0ms	160×	body	80	valid
6.0ms	38×	body	640	valid
2.0ms	16×	body	320	valid
1.0ms	13×	body	160	valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	3
1	12	3
2	16	3
3	17	3
4	17	3

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`times-frac`
18×	`add-cube-cbrt` `*-un-lft-identity`
13×	`associate-r`
9×	`add-exp-log` `add-cbrt-cube`
4×	`pow1`
3×	`associate-l` `associate-/r` `associate-/l`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

2 → 59

Calls

2 calls:

9.0ms	(/ (sin y) y)
18.0ms	(* x (/ (sin y) y))

series77.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(/ (sin y) y)
49.0ms	(* x (/ (sin y) y))

simplify31.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	213	320
1	988	289
2	5002	289

prune121.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite237.0ms

Algorithm

rewrite-expression-head

Rules

156×	`times-frac`
103×	`add-sqr-sqrt`
91×	`*-un-lft-identity`
89×	`add-cube-cbrt`
44×	`associate-r`
35×	`add-exp-log`
19×	`add-cbrt-cube`
16×	`associate-/r*`
15×	`div-exp`
10×	`div-inv`
7×	`cbrt-undiv` `prod-exp`
6×	`pow1` `associate-/l*`
5×	`unswap-sqr`
4×	`rec-exp` `1-exp`
3×	`associate-l` `cbrt-unprod` `add-log-exp`
2×	`frac-2neg` `clear-num` `associate-/r/`
1×	`pow-flip` `associate-r/` `pow-prod-down` `un-div-inv` `-commutative` `inv-pow`

Counts

3 → 176

Calls

3 calls:

5.0ms	(/ y (sin y))
213.0ms	(* x (/ 1 (/ y (sin y))))
11.0ms	(/ 1 (/ y (sin y)))

series98.0ms

Counts

3 → 9

Calls

3 calls:

21.0ms	(/ y (sin y))
53.0ms	(* x (/ 1 (/ y (sin y))))
24.0ms	(/ 1 (/ y (sin y)))

simplify65.0ms

Algorithm

egg-herbie

Counts

185 → 185

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	567	1204
1	2885	1046
2	5001	925

prune303.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ x (/ y (sin y)))
0.1b	(/ y (sin y))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
52×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
16×	`associate-/r*`
9×	`add-exp-log` `add-cbrt-cube`
6×	`div-inv` `associate-/l*`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `frac-2neg` `clear-num` `add-log-exp`
1×	`associate-/r/`

Counts

2 → 97

Calls

2 calls:

10.0ms	(/ x (/ y (sin y)))
6.0ms	(/ y (sin y))

series69.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(/ x (/ y (sin y)))
21.0ms	(/ y (sin y))

simplify44.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	365	711
1	1625	675
2	5002	674

prune222.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x) (cbrt x))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

11.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series708.0ms

Counts

4 → 12

Calls

4 calls:

198.0ms	(* (cbrt x) (cbrt x))
174.0ms	(cbrt x)
168.0ms	(cbrt x)
167.0ms	(cbrt x)

simplify88.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (83.0ms)

Iter	Nodes	Cost
0	115	288
1	472	261
2	2959	238
3	5003	235

prune205.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes75.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	3
1	12	3
2	12	3

end0.0ms

sample864.0ms

Algorithm

intervals

Results

243.0ms	1003×	body	1280	valid
179.0ms	5156×	body	80	valid
152.0ms	991×	body	640	valid
59.0ms	562×	body	320	valid
26.0ms	288×	body	160	valid