Details

sample31.0ms

Algorithm

intervals

Results

9.0ms	170×	body	80	valid
5.0ms	31×	body	640	valid
5.0ms	19×	body	1280	valid
3.0ms	27×	body	320	valid
1.0ms	9×	body	160	valid

simplify8.0ms

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

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite26.0ms

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:

15.0ms	(* x (/ (sin y) y))
9.0ms	(/ (sin y) y)

series84.0ms

Counts

2 → 6

Calls

2 calls:

58.0ms	(* x (/ (sin y) y))
27.0ms	(/ (sin y) y)

simplify30.0ms

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

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

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)))

rewrite58.0ms

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:

34.0ms	(* x (/ 1 (/ y (sin y))))
5.0ms	(/ y (sin y))
11.0ms	(/ 1 (/ y (sin y)))

series103.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(* x (/ 1 (/ y (sin y))))
23.0ms	(/ y (sin y))
25.0ms	(/ 1 (/ y (sin y)))

simplify63.0ms

Algorithm

egg-herbie

Counts

185 → 185

Iterations

Useful iterations: 2 (52.0ms)

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

prune284.0ms

Pruning

7 alts after pruning (7 fresh and 0 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))

rewrite19.0ms

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))

series78.0ms

Counts

2 → 6

Calls

2 calls:

55.0ms	(/ x (/ y (sin y)))
23.0ms	(/ y (sin y))

simplify44.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (37.0ms)

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

prune259.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 58

Calls

2 calls:

35.0ms	(* x (* (/ 1 y) (sin y)))
19.0ms	(* (/ 1 y) (sin y))

series83.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(* x (* (/ 1 y) (sin y)))
26.0ms	(* (/ 1 y) (sin y))

simplify31.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	268	325
1	1102	258
2	5002	245

prune101.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes50.0ms

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	9	3
1	9	3

end0.0ms

sample825.0ms

Algorithm

intervals

Results

212.0ms	924×	body	1280	valid
182.0ms	5185×	body	80	valid
151.0ms	1019×	body	640	valid
59.0ms	572×	body	320	valid
22.0ms	300×	body	160	valid