Details

sample44.0ms

Algorithm

intervals

Results

10.0ms	168×	body	80	valid
10.0ms	25×	body	1280	valid
9.0ms	34×	body	640	valid
3.0ms	19×	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	8	3
1	12	3
2	16	3
3	17	3
4	17	3

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

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:

8.0ms	(* x (/ (sin y) y))
3.0ms	(/ (sin y) y)

series78.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(* x (/ (sin y) y))
28.0ms	(/ (sin y) y)

simplify35.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 1 (7.0ms)

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

prune140.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite43.0ms

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:

26.0ms	(* x (/ 1 (/ y (sin y))))
2.0ms	(/ y (sin y))
6.0ms	(/ 1 (/ y (sin y)))

series100.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(* x (/ 1 (/ y (sin y))))
21.0ms	(/ y (sin y))
25.0ms	(/ 1 (/ y (sin y)))

simplify65.0ms

Algorithm

egg-herbie

Counts

185 → 185

Iterations

Useful iterations: 2 (53.0ms)

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

prune343.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (/ y (sin y))) (cbrt (/ y (sin y))))
0.3b	(cbrt (/ y (sin y)))
0.3b	(cbrt (/ y (sin y)))
0.3b	(cbrt (/ y (sin y)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

103×	`cbrt-prod`
81×	`add-sqr-sqrt`
69×	`times-frac`
57×	`add-cube-cbrt` `*-un-lft-identity`
16×	`swap-sqr` `associate-r` `associate-l`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `div-inv`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 144

Calls

4 calls:

24.0ms	(* (cbrt (/ y (sin y))) (cbrt (/ y (sin y))))
2.0ms	(cbrt (/ y (sin y)))
2.0ms	(cbrt (/ y (sin y)))
2.0ms	(cbrt (/ y (sin y)))

series598.0ms

Counts

4 → 12

Calls

4 calls:

181.0ms	(* (cbrt (/ y (sin y))) (cbrt (/ y (sin y))))
143.0ms	(cbrt (/ y (sin y)))
139.0ms	(cbrt (/ y (sin y)))
134.0ms	(cbrt (/ y (sin y)))

simplify44.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	285	1421
1	988	1370
2	5001	1309

prune524.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* x (/ (sin y) y))) (cbrt (* x (/ (sin y) y))))
8.9b	(cbrt (* x (/ (sin y) y)))
8.9b	(cbrt (* x (/ (sin y) y)))
8.9b	(cbrt (* x (/ (sin y) y)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `-un-lft-identity` `associate-r/`
7×	`cbrt-prod` `cbrt-div`
6×	`add-exp-log`
4×	`swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-l/` `prod-exp` `-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 64

Calls

4 calls:

6.0ms	(* (cbrt (* x (/ (sin y) y))) (cbrt (* x (/ (sin y) y))))
6.0ms	(cbrt (* x (/ (sin y) y)))
3.0ms	(cbrt (* x (/ (sin y) y)))
3.0ms	(cbrt (* x (/ (sin y) y)))

series529.0ms

Counts

4 → 12

Calls

4 calls:

156.0ms	(* (cbrt (* x (/ (sin y) y))) (cbrt (* x (/ (sin y) y))))
127.0ms	(cbrt (* x (/ (sin y) y)))
123.0ms	(cbrt (* x (/ (sin y) y)))
122.0ms	(cbrt (* x (/ (sin y) y)))

simplify144.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 3 (132.0ms)

Iter	Nodes	Cost
0	206	566
1	815	501
2	4530	454
3	5001	441

prune218.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes115.0ms

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	4
1	10	4

end0.0ms

sample823.0ms

Algorithm

intervals

Results

236.0ms	963×	body	1280	valid
185.0ms	5218×	body	80	valid
157.0ms	972×	body	640	valid
69.0ms	551×	body	320	valid
22.0ms	296×	body	160	valid