Details

sample110.0ms

Algorithm

intervals

Results

40.0ms	100×	body	1280	valid
25.0ms	88×	body	640	valid
18.0ms	296×	body	80	valid
9.0ms	52×	body	320	valid
3.0ms	24×	body	160	valid

simplify57.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	15	4
1	28	4
2	56	4
3	102	4
4	153	4
5	334	4
6	924	4
7	1912	4
8	5001	4

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 1 expressions with local error:

0.1b	(/ (sin y) y)

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
3×	`add-exp-log` `associate-/r` `add-cbrt-cube` `associate-/l`
1×	`pow1` `cbrt-undiv` `expm1-log1p-u` `frac-2neg` `div-exp` `clear-num` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 29

Calls

1 calls:

3.0ms

(/ (sin y) y)

series4.0ms

Counts

1 → 3

Calls

1 calls:

4.0ms

(/ (sin y) y)

simplify48.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	108	149
1	349	138
2	1394	138
3	5002	138

prune186.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ 1 (/ y (sin y)))
0.2b	(/ y (sin y))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
52×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
16×	`associate-/r*`
15×	`add-exp-log`
9×	`add-cbrt-cube`
8×	`div-exp`
6×	`div-inv` `associate-/l*`
4×	`cbrt-undiv`
3×	`pow1`
2×	`expm1-log1p-u` `rec-exp` `frac-2neg` `1-exp` `clear-num` `log1p-expm1-u` `add-log-exp`
1×	`pow-flip` `associate-/r/` `inv-pow`

Counts

2 → 107

Calls

2 calls:

6.0ms	(/ 1 (/ y (sin y)))
2.0ms	(/ y (sin y))

series10.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(/ 1 (/ y (sin y)))
6.0ms	(/ y (sin y))

simplify45.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	345	731
1	1556	644
2	5002	570

prune454.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.3b	(* (/ 1 y) (sin y))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
13×	`associate-l`
11×	`times-frac`
10×	`add-exp-log` `*-un-lft-identity`
9×	`add-cube-cbrt`
6×	`add-cbrt-cube`
4×	`prod-exp`
3×	`pow1` `associate-r` `unswap-sqr`
2×	`div-exp` `cbrt-unprod`
1×	`cbrt-undiv` `expm1-log1p-u` `rec-exp` `1-exp` `pow-prod-down` `associate-l/` `-commutative` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 37

Calls

1 calls:

9.0ms

(* (/ 1 y) (sin y))

series4.0ms

Counts

1 → 3

Calls

1 calls:

4.0ms

(* (/ 1 y) (sin y))

simplify85.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 2 (21.0ms)

Iter	Nodes	Cost
0	179	188
1	704	158
2	2974	146
3	5001	146

prune210.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ 1 (sin y))
0.1b	(/ 1 (* y (/ 1 (sin y))))
0.3b	(* y (/ 1 (sin y)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

51×	`add-exp-log`
28×	`add-sqr-sqrt`
23×	`times-frac`
22×	`*-un-lft-identity`
21×	`add-cube-cbrt`
20×	`div-exp`
19×	`add-cbrt-cube`
16×	`prod-exp`
13×	`associate-r`
10×	`rec-exp` `1-exp`
9×	`pow1`
6×	`cbrt-undiv` `associate-/l*`
4×	`associate-/r*` `cbrt-unprod`
3×	`expm1-log1p-u` `pow-flip` `associate-l` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
2×	`frac-2neg` `associate-*r/` `pow-prod-down` `clear-num` `associate-/r/` `un-div-inv` `inv-pow`
1×	`*-commutative`

Counts

3 → 113

Calls

3 calls:

2.0ms	(/ 1 (sin y))
9.0ms	(/ 1 (* y (/ 1 (sin y))))
9.0ms	(* y (/ 1 (sin y)))

series16.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(/ 1 (sin y))
6.0ms	(/ 1 (* y (/ 1 (sin y))))
6.0ms	(* y (/ 1 (sin y)))

simplify44.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	349	560
1	1599	453
2	5002	410

prune424.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes352.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	4
1	7	4

end0.0ms

sample3.0s

Algorithm

intervals

Results

1.2s	3120×	body	1280	valid
639.0ms	2471×	body	640	valid
525.0ms	8738×	body	80	valid
228.0ms	1268×	body	320	valid
77.0ms	592×	body	160	valid