Details

sample87.0ms

Algorithm

intervals

Results

32.0ms	91×	body	1280	valid
17.0ms	82×	body	640	valid
14.0ms	274×	body	80	valid
5.0ms	36×	body	320	valid
1.0ms	10×	body	160	valid

simplify2.4s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	15	7
2	30	7
3	67	7
4	137	7
5	262	7
6	805	7
7	4114	7
done	5000	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite41.0ms

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×	`associate-l` `associate-/r` `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 → 68

Calls

3 calls:

2.0ms	(sinh y)
27.0ms	(* (sin x) (/ (sinh y) y))
9.0ms	(/ (sinh y) y)

series337.0ms

Counts

3 → 9

Calls

3 calls:

82.0ms	(sinh y)
125.0ms	(* (sin x) (/ (sinh y) y))
130.0ms	(/ (sinh y) y)

simplify1.0s

Counts

77 → 77

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	140	732
1	348	693
2	1705	625
done	5000	621

prune244.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite194.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
19×	`add-exp-log`
16×	`associate-r`
14×	`add-cbrt-cube`
13×	`pow1` `cbrt-prod`
12×	`cbrt-div`
11×	`associate-*l/`
9×	`associate-/r` `associate-/l`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`frac-times`
4×	`div-inv` `add-log-exp`
3×	`cbrt-undiv` `sinh-def` `frac-2neg` `associate-*r/` `div-exp` `clear-num` `associate-/l/`
1×	`associate-l` `*-commutative`

Counts

4 → 125

Calls

4 calls:

9.0ms	(/ (sinh y) y)
9.0ms	(/ (sinh y) y)
9.0ms	(/ (sinh y) y)
163.0ms	(* (* (* (cbrt (/ (sinh y) y)) (cbrt (/ (sinh y) y))) (sin x)) (cbrt (/ (sinh y) y)))

series453.0ms

Counts

4 → 12

Calls

4 calls:

124.0ms	(/ (sinh y) y)
123.0ms	(/ (sinh y) y)
91.0ms	(/ (sinh y) y)
114.0ms	(* (* (* (cbrt (/ (sinh y) y)) (cbrt (/ (sinh y) y))) (sin x)) (cbrt (/ (sinh y) y)))

simplify1.3s

Counts

137 → 137

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	168	1824
1	419	1745
2	2148	1449
done	5000	1370

prune540.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(sinh y)
0.0b	(/ (sinh y) y)
0.0b	(pow (/ (sinh y) y) 3)
0.2b	(cbrt (pow (/ (sinh y) y) 3))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

45×	`times-frac`
42×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
32×	`cbrt-prod`
26×	`unpow-prod-down` `cube-prod`
9×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `div-inv`
4×	`add-log-exp`
3×	`pow-unpow` `associate-/r` `associate-/l`
2×	`cbrt-undiv` `cube-div` `cube-mult` `sinh-def` `unpow3` `div-exp` `pow-exp` `rem-cube-cbrt` `sqr-pow`
1×	`pow-to-exp` `cbrt-div` `pow-pow` `frac-2neg` `pow1/3` `clear-num` `rem-cbrt-cube` `associate-/l/`

Counts

4 → 124

Calls

4 calls:

2.0ms	(sinh y)
10.0ms	(/ (sinh y) y)
16.0ms	(pow (/ (sinh y) y) 3)
9.0ms	(cbrt (pow (/ (sinh y) y) 3))

series483.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(sinh y)
122.0ms	(/ (sinh y) y)
141.0ms	(pow (/ (sinh y) y) 3)
133.0ms	(cbrt (pow (/ (sinh y) y) 3))

simplify2.0s

Counts

136 → 136

Iterations

Useful iterations: 2 (678.0ms)

Iter	Nodes	Cost
0	180	1635
1	570	1303
2	3231	1175
done	5000	1175

prune304.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (sin x) (/ (sinh y) y))) (cbrt (* (sin x) (/ (sinh y) y))))
0.6b	(cbrt (* (sin x) (/ (sinh y) y)))
0.6b	(cbrt (* (sin x) (/ (sinh y) y)))
0.6b	(cbrt (* (sin x) (/ (sinh y) y)))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `-un-lft-identity` `associate-r/`
7×	`cbrt-prod` `cbrt-div`
6×	`add-exp-log`
4×	`swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-l/` `prod-exp` `-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 64

Calls

4 calls:

21.0ms	(* (cbrt (* (sin x) (/ (sinh y) y))) (cbrt (* (sin x) (/ (sinh y) y))))
12.0ms	(cbrt (* (sin x) (/ (sinh y) y)))
7.0ms	(cbrt (* (sin x) (/ (sinh y) y)))
10.0ms	(cbrt (* (sin x) (/ (sinh y) y)))

series1.2s

Counts

4 → 12

Calls

4 calls:

340.0ms	(* (cbrt (* (sin x) (/ (sinh y) y))) (cbrt (* (sin x) (/ (sinh y) y))))
286.0ms	(cbrt (* (sin x) (/ (sinh y) y)))
319.0ms	(cbrt (* (sin x) (/ (sinh y) y)))
298.0ms	(cbrt (* (sin x) (/ (sinh y) y)))

simplify779.0ms

Counts

76 → 76

Iterations

Useful iterations: done (777.0ms)

Iter	Nodes	Cost
0	126	1240
1	339	1116
2	1255	973
done	5000	896

prune305.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes126.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	11	20
done	11	20

end0.0ms

sample4.7s

Algorithm

intervals

Results

2.2s	2911×	body	1280	valid
833.0ms	8455×	body	80	valid
750.0ms	2443×	body	640	valid
276.0ms	1207×	body	320	valid
81.0ms	616×	body	160	valid