Details

sample29.0ms

Algorithm

intervals

Results

7.0ms	175×	body	80	valid
7.0ms	26×	body	1280	valid
4.0ms	28×	body	640	valid
3.0ms	22×	body	320	valid
0.0ms	5×	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))

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:

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

series81.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(/ (sin y) y)
56.0ms	(* x (/ (sin y) y))

simplify33.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 1 (7.0ms)

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

prune125.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (sin y)) (cbrt (sin y)))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))

rewrite10.0ms

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:

7.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))

series392.0ms

Counts

4 → 12

Calls

4 calls:

112.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
93.0ms	(cbrt (sin y))
92.0ms	(cbrt (sin y))
94.0ms	(cbrt (sin y))

simplify93.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (88.0ms)

Iter	Nodes	Cost
0	154	453
1	551	401
2	3082	369
3	5002	363

prune187.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
5.3b	(* (/ x (* (cbrt y) (cbrt y))) (/ (sin y) (cbrt y)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
28×	`times-frac`
25×	`add-exp-log`
22×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
20×	`cbrt-prod`
18×	`add-cbrt-cube`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp` `associate-l`
6×	`pow1` `unswap-sqr`
4×	`add-log-exp`
3×	`pow1/3`
2×	`div-inv`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

4 → 92

Calls

4 calls:

0.0ms	(cbrt y)
0.0ms	(cbrt y)
0.0ms	(cbrt y)
24.0ms	(* (/ x (* (cbrt y) (cbrt y))) (/ (sin y) (cbrt y)))

series600.0ms

Counts

4 → 12

Calls

4 calls:

177.0ms	(cbrt y)
171.0ms	(cbrt y)
171.0ms	(cbrt y)
81.0ms	(* (/ x (* (cbrt y) (cbrt y))) (/ (sin y) (cbrt y)))

simplify56.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	434	803
1	2350	650
2	5002	611

prune257.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x (sin y))
9.0b	(/ (* x (sin y)) y)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 39

Calls

2 calls:

3.0ms	(* x (sin y))
4.0ms	(/ (* x (sin y)) y)

series91.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(* x (sin y))
55.0ms	(/ (* x (sin y)) y)

simplify27.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	154	189
1	799	158
2	5001	158

prune75.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes108.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

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

sample829.0ms

Algorithm

intervals

Results

237.0ms	967×	body	1280	valid
194.0ms	5203×	body	80	valid
148.0ms	900×	body	640	valid
66.0ms	591×	body	320	valid
27.0ms	339×	body	160	valid