Details

sample66.0ms

Algorithm

intervals

Results

18.0ms	64×	body	1280	valid
13.0ms	74×	body	640	valid
12.0ms	325×	body	80	valid
3.0ms	25×	body	320	valid
1.0ms	16×	body	160	valid

simplify63.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	15	4
1	32	4
2	68	4
3	146	4
4	292	4
5	556	4
6	1543	4
7	5001	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.2b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (sin x) (sinh y))
17.1b	(/ (* (sin x) (sinh y)) x)

rewrite32.0ms

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` `associate-*r/` `div-exp` `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:

2.0ms	(sinh y)
16.0ms	(* (sin x) (sinh y))
13.0ms	(/ (* (sin x) (sinh y)) x)

series253.0ms

Counts

3 → 9

Calls

3 calls:

69.0ms	(sinh y)
87.0ms	(* (sin x) (sinh y))
97.0ms	(/ (* (sin x) (sinh y)) x)

simplify53.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	292	340
1	1273	291
2	5001	273

prune178.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (sinh y) x)
0.0b	(sinh y)
0.2b	(* (sin x) (/ (sinh y) x))

rewrite29.0ms

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:

7.0ms	(/ (sinh y) x)
1.0ms	(sinh y)
18.0ms	(* (sin x) (/ (sinh y) x))

series251.0ms

Counts

3 → 9

Calls

3 calls:

81.0ms	(/ (sinh y) x)
65.0ms	(sinh y)
104.0ms	(* (sin x) (/ (sinh y) x))

simplify58.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	342	450
1	1303	402
2	5001	400

prune234.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- (sinh y)) (- x))
0.0b	(sinh y)
0.2b	(* (sin x) (/ (- (sinh y)) (- x)))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

201×	`times-frac`
136×	`add-sqr-sqrt`
131×	`add-cube-cbrt` `*-un-lft-identity`
126×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
104×	`associate-r`
42×	`neg-mul-1`
10×	`add-exp-log` `associate-/r` `add-cbrt-cube` `associate-/l`
5×	`pow1`
3×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `sinh-def` `distribute-frac-neg` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`neg-sub0` `frac-2neg` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `distribute-rgt-neg-out` `associate-/l/` `distribute-neg-frac`

Counts

3 → 273

Calls

3 calls:

13.0ms	(/ (- (sinh y)) (- x))
1.0ms	(sinh y)
51.0ms	(* (sin x) (/ (- (sinh y)) (- x)))

series242.0ms

Counts

3 → 9

Calls

3 calls:

78.0ms	(/ (- (sinh y)) (- x))
60.0ms	(sinh y)
104.0ms	(* (sin x) (/ (- (sinh y)) (- x)))

simplify57.0ms

Algorithm

egg-herbie

Counts

282 → 282

Iterations

Useful iterations: 1 (34.0ms)

Iter	Nodes	Cost
0	871	2165
1	5002	2088

prune782.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ x (sinh y))
0.0b	(sinh y)
0.8b	(/ (sin x) (/ x (sinh y)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

87×	`times-frac`
54×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
17×	`associate-/r*`
10×	`add-exp-log` `add-cbrt-cube`
6×	`sinh-def` `associate-/r/` `div-inv` `associate-/l*`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `clear-num`

Counts

3 → 116

Calls

3 calls:

5.0ms	(/ x (sinh y))
1.0ms	(sinh y)
14.0ms	(/ (sin x) (/ x (sinh y)))

series299.0ms

Counts

3 → 9

Calls

3 calls:

121.0ms	(/ x (sinh y))
72.0ms	(sinh y)
105.0ms	(/ (sin x) (/ x (sinh y)))

simplify74.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	488	956
1	2017	903
2	5001	882

prune358.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes79.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	4
1	7	4

end0.0ms

sample1.9s

Algorithm

intervals

Results

517.0ms	1807×	body	1280	valid
415.0ms	10340×	body	80	valid
378.0ms	1974×	body	640	valid
149.0ms	1107×	body	320	valid
58.0ms	608×	body	160	valid