Details

sample78.0ms

Algorithm

intervals

Results

21.0ms	350×	body	80	valid
19.0ms	60×	body	1280	valid
14.0ms	65×	body	640	valid
6.0ms	38×	body	320	valid
3.0ms	23×	body	160	valid

simplify44.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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: 14.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.2b	(* (sin x) (sinh y))
13.9b	(/ (* (sin x) (sinh y)) x)

rewrite10.0ms

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:

0.0ms	(sinh y)
4.0ms	(* (sin x) (sinh y))
4.0ms	(/ (* (sin x) (sinh y)) x)

series432.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(sinh y)
276.0ms	(* (sin x) (sinh y))
94.0ms	(/ (* (sin x) (sinh y)) x)

simplify48.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (39.0ms)

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

prune149.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.3b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.2b	(/ (sinh y) x)
0.4b	(* (sin x) (/ (sinh y) x))

rewrite16.0ms

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:

0.0ms	(sinh y)
3.0ms	(/ (sinh y) x)
11.0ms	(* (sin x) (/ (sinh y) x))

series224.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(sinh y)
72.0ms	(/ (sinh y) x)
92.0ms	(* (sin x) (/ (sinh y) x))

simplify43.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (38.0ms)

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

prune192.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.3b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt x)
0.5b	(cbrt x)
0.5b	(cbrt x)
0.6b	(* (cbrt x) (cbrt x))

rewrite9.0ms

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×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `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 → 81

Calls

4 calls:

0.0ms	(cbrt x)
0.0ms	(cbrt x)
0.0ms	(cbrt x)
6.0ms	(* (cbrt x) (cbrt x))

series740.0ms

Counts

4 → 12

Calls

4 calls:

183.0ms	(cbrt x)
186.0ms	(cbrt x)
174.0ms	(cbrt x)
196.0ms	(* (cbrt x) (cbrt x))

simplify92.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (87.0ms)

Iter	Nodes	Cost
0	119	308
1	484	281
2	2976	258
3	5001	255

prune261.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.2b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.3b	(/ x (sinh y))
1.1b	(/ (sin x) (/ x (sinh y)))

rewrite14.0ms

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:

1.0ms	(sinh y)
2.0ms	(/ x (sinh y))
6.0ms	(/ (sin x) (/ x (sinh y)))

series276.0ms

Counts

3 → 9

Calls

3 calls:

64.0ms	(sinh y)
109.0ms	(/ x (sinh y))
102.0ms	(/ (sin x) (/ x (sinh y)))

simplify57.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 2 (47.0ms)

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

prune303.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.2b

regimes94.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b 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

sample2.2s

Algorithm

intervals

Results

629.0ms	10531×	body	80	valid
581.0ms	1875×	body	1280	valid
408.0ms	2010×	body	640	valid
165.0ms	1079×	body	320	valid
72.0ms	618×	body	160	valid