Details

sample68.0ms

Algorithm

intervals

Results

24.0ms	83×	body	1280	valid
14.0ms	81×	body	640	valid
11.0ms	259×	body	80	valid
4.0ms	34×	body	320	valid
1.0ms	15×	body	160	valid

simplify45.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	4
1	30	4
2	66	4
3	139	4
4	271	4
5	520	4
6	1491	4
7	5001	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (sinh y) y)
0.0b	(sinh y)
0.0b	(* (sin x) (/ (sinh y) y))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
19×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
13×	`associate-r`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1`
3×	`expm1-log1p-u` `associate-l` `associate-/r` `log1p-expm1-u` `associate-/l` `add-log-exp`
2×	`cbrt-undiv` `sinh-def` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `associate-/l/`

Counts

3 → 74

Calls

3 calls:

3.0ms	(/ (sinh y) y)
1.0ms	(sinh y)
7.0ms	(* (sin x) (/ (sinh y) y))

series253.0ms

Counts

3 → 9

Calls

3 calls:

87.0ms	(/ (sinh y) y)
64.0ms	(sinh y)
102.0ms	(* (sin x) (/ (sinh y) y))

simplify43.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	348	444
1	1367	399
2	5001	397

prune196.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (sinh y) y)
0.0b	(/ (sinh y) y)
0.0b	(* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))
0.0b	(* (sin x) (sqrt (/ (sinh y) y)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt`
37×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
32×	`associate-r`
28×	`sqrt-prod`
15×	`add-exp-log` `add-cbrt-cube`
11×	`pow1`
6×	`associate-/r` `associate-/l`
5×	`sqrt-div`
4×	`expm1-log1p-u` `associate-r/` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`unswap-sqr`
2×	`cbrt-undiv` `sinh-def` `frac-2neg` `div-exp` `clear-num` `*-commutative` `associate-/l/`
1×	`frac-times` `associate-*l/`

Counts

4 → 132

Calls

4 calls:

4.0ms	(/ (sinh y) y)
4.0ms	(/ (sinh y) y)
12.0ms	(* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))
8.0ms	(* (sin x) (sqrt (/ (sinh y) y)))

series485.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(/ (sinh y) y)
88.0ms	(/ (sinh y) y)
124.0ms	(* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))
188.0ms	(* (sin x) (sqrt (/ (sinh y) y)))

simplify126.0ms

Algorithm

egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 2 (114.0ms)

Iter	Nodes	Cost
0	937	1296
1	4591	1149
2	5001	1109

prune437.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (sinh y) y)
0.0b	(* (sin x) (/ (sinh y) y))
0.1b	(expm1 (* (sin x) (/ (sinh y) y)))
0.5b	(log1p (expm1 (* (sin x) (/ (sinh y) y))))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
20×	`add-cube-cbrt` `*-un-lft-identity`
19×	`times-frac`
13×	`associate-r`
11×	`add-exp-log` `add-cbrt-cube`
6×	`pow1`
5×	`log1p-expm1-u`
4×	`expm1-log1p-u` `add-log-exp`
3×	`associate-l` `associate-/r` `associate-/l`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`sinh-def` `log1p-udef` `expm1-log1p` `frac-2neg` `log1p-expm1` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `associate-/l/` `expm1-udef`

Counts

4 → 86

Calls

4 calls:

4.0ms	(/ (sinh y) y)
12.0ms	(* (sin x) (/ (sinh y) y))
1.0ms	(expm1 (* (sin x) (/ (sinh y) y)))
1.0ms	(log1p (expm1 (* (sin x) (/ (sinh y) y))))

series626.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(/ (sinh y) y)
100.0ms	(* (sin x) (/ (sinh y) y))
279.0ms	(expm1 (* (sin x) (/ (sinh y) y)))
157.0ms	(log1p (expm1 (* (sin x) (/ (sinh y) y))))

simplify70.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	608	727
1	2785	663
2	5001	659

prune273.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (sinh y) (sin x))
13.9b	(/ (* (sinh y) (sin x)) y)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-exp-log` `add-cbrt-cube`
9×	`add-sqr-sqrt`
7×	`add-cube-cbrt` `*-un-lft-identity`
5×	`pow1`
3×	`expm1-log1p-u` `sinh-def` `times-frac` `associate-r` `associate-l` `associate-/r*` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `div-exp` `associate-*l/` `prod-exp` `cbrt-unprod`
1×	`frac-2neg` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l/` `associate-/l` `unswap-sqr`

Counts

3 → 55

Calls

3 calls:

1.0ms	(sinh y)
4.0ms	(* (sinh y) (sin x))
5.0ms	(/ (* (sinh y) (sin x)) y)

series224.0ms

Counts

3 → 9

Calls

3 calls:

63.0ms	(sinh y)
81.0ms	(* (sinh y) (sin x))
79.0ms	(/ (* (sinh y) (sin x)) y)

simplify38.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	291	340
1	1152	291
2	5001	289

prune130.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes96.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	4
1	7	4

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.1s	3016×	body	1280	valid
447.0ms	2474×	body	640	valid
356.0ms	8567×	body	80	valid
158.0ms	1201×	body	320	valid
53.0ms	609×	body	160	valid