Details

sample91.0ms

Algorithm

intervals

Results

32.0ms	91×	body	1280	valid
18.0ms	274×	body	80	valid
17.0ms	82×	body	640	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	139	7
5	271	7
6	828	7
7	4211	7
done	5000	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 3 expressions with local error:

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

rewrite30.0ms

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:

16.0ms	(* (cos x) (/ (sinh y) y))
1.0ms	(sinh y)
10.0ms	(/ (sinh y) y)

series318.0ms

Counts

3 → 9

Calls

3 calls:

131.0ms	(* (cos x) (/ (sinh y) y))
78.0ms	(sinh y)
108.0ms	(/ (sinh y) y)

simplify1.1s

Counts

83 → 83

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	144	762
1	353	718
2	1719	652
done	5001	647

prune263.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

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

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

84×	`add-sqr-sqrt`
69×	`times-frac`
64×	`cbrt-prod`
60×	`add-cube-cbrt` `*-un-lft-identity`
16×	`swap-sqr` `associate-r` `associate-l`
12×	`add-exp-log`
11×	`pow1`
10×	`add-cbrt-cube`
9×	`associate-/r` `associate-/l` `unswap-sqr`
7×	`div-inv`
6×	`pow1/3`
4×	`expm1-log1p-u` `cbrt-div` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `sinh-def` `frac-2neg` `div-exp` `clear-num` `associate-/l/`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 170

Calls

4 calls:

41.0ms	(* (cbrt (/ (sinh y) y)) (cbrt (/ (sinh y) y)))
10.0ms	(/ (sinh y) y)
10.0ms	(/ (sinh y) y)
10.0ms	(/ (sinh y) y)

series633.0ms

Counts

4 → 12

Calls

4 calls:

299.0ms	(* (cbrt (/ (sinh y) y)) (cbrt (/ (sinh y) y)))
106.0ms	(/ (sinh y) y)
108.0ms	(/ (sinh y) y)
119.0ms	(/ (sinh y) y)

simplify1.2s

Counts

182 → 182

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	200	2241
1	400	2087
2	1621	1998
done	5000	1955

prune611.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (sinh y) (cos x))
0.2b	(/ (* (sinh y) (cos x)) y)

rewrite33.0ms

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)
11.0ms	(* (sinh y) (cos x))
19.0ms	(/ (* (sinh y) (cos x)) y)

series270.0ms

Counts

3 → 9

Calls

3 calls:

88.0ms	(sinh y)
90.0ms	(* (sinh y) (cos x))
92.0ms	(/ (* (sinh y) (cos x)) y)

simplify713.0ms

Counts

64 → 64

Iterations

Useful iterations: done (711.0ms)

Iter	Nodes	Cost
0	119	566
1	279	540
2	1296	475
done	5000	473

prune174.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize13.0ms

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))

rewrite27.0ms

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×	`expm1-log1p-u` `log1p-expm1-u` `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 → 132

Calls

4 calls:

1.0ms	(sinh y)
7.0ms	(/ (sinh y) y)
7.0ms	(pow (/ (sinh y) y) 3)
6.0ms	(cbrt (pow (/ (sinh y) y) 3))

series459.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(sinh y)
97.0ms	(/ (sinh y) y)
174.0ms	(pow (/ (sinh y) y) 3)
117.0ms	(cbrt (pow (/ (sinh y) y) 3))

simplify2.0s

Counts

144 → 144

Iterations

Useful iterations: 2 (558.0ms)

Iter	Nodes	Cost
0	188	1681
1	586	1335
2	3243	1207
done	5000	1207

prune498.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes93.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample4.5s

Algorithm

intervals

Results

2.1s	2910×	body	1280	valid
814.0ms	2443×	body	640	valid
631.0ms	8461×	body	80	valid
279.0ms	1207×	body	320	valid
121.0ms	611×	body	160	valid