Details

sample131.0ms

Algorithm

intervals

Results

54.0ms	86×	body	1280	valid
27.0ms	86×	body	640	valid
20.0ms	284×	body	80	valid
11.0ms	53×	body	320	valid
2.0ms	15×	body	160	valid

simplify2.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
7	1888
6	631
5	245
4	128
3	65
2	30
1	15
0	6

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

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

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
19×	`*-un-lft-identity` `times-frac` `add-cube-cbrt`
13×	`associate-r`
10×	`add-cbrt-cube` `add-exp-log`
5×	`pow1`
3×	`expm1-log1p-u` `associate-/r` `associate-l` `insert-posit16` `log1p-expm1-u` `associate-/l` `add-log-exp`
2×	`cbrt-undiv` `sinh-def` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`clear-num` `frac-2neg` `pow-prod-down` `associate-r/` `-commutative` `associate-/l/`

Counts

3 → 77

Calls

3 calls:

11.0ms	(/ (sinh y) y)
2.0ms	(sinh y)
26.0ms	(* (cos x) (/ (sinh y) y))

series328.0ms

Counts

3 → 9

Calls

3 calls:

127.0ms	(/ (sinh y) y)
93.0ms	(sinh y)
108.0ms	(* (cos x) (/ (sinh y) y))

simplify3.0s

Counts

86 → 86

Iterations

Iter	Nodes
done	5004
3	4091
2	1099
1	353
0	146

prune281.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (cos x) (/ (sinh y) y))
0.2b	(* (* (* (cos x) (/ (sinh y) y)) (* (cos x) (/ (sinh y) y))) (* (cos x) (/ (sinh y) y)))
0.2b	(* (* (cos x) (/ (sinh y) y)) (* (cos x) (/ (sinh y) y)))
0.3b	(cbrt (* (* (* (cos x) (/ (sinh y) y)) (* (cos x) (/ (sinh y) y))) (* (cos x) (/ (sinh y) y))))

rewrite540.0ms

Algorithm

rewrite-expression-head

Rules

216×	`add-cbrt-cube` `add-exp-log`
200×	`pow1`
136×	`prod-exp` `cbrt-unprod`
87×	`pow-prod-down`
38×	`pow-prod-up`
36×	`associate-*r/`
35×	`cbrt-undiv` `div-exp`
19×	`pow-plus`
17×	`add-sqr-sqrt`
16×	`pow-sqr`
15×	`associate-r`
12×	`*-un-lft-identity` `add-cube-cbrt`
11×	`frac-times` `associate-*l/`
10×	`times-frac`
7×	`cbrt-div`
5×	`associate-l`
4×	`pow2` `expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
2×	`pow3` `unswap-sqr`
1×	`cbrt-prod` `pow1/3` `swap-sqr` `rem-cbrt-cube` `div-inv`

Counts

4 → 229

Calls

4 calls:

19.0ms	(* (cos x) (/ (sinh y) y))
256.0ms	(* (* (* (cos x) (/ (sinh y) y)) (* (cos x) (/ (sinh y) y))) (* (cos x) (/ (sinh y) y)))
65.0ms	(* (* (cos x) (/ (sinh y) y)) (* (cos x) (/ (sinh y) y)))
187.0ms	(cbrt (* (* (* (cos x) (/ (sinh y) y)) (* (cos x) (/ (sinh y) y))) (* (cos x) (/ (sinh y) y))))

series691.0ms

Counts

4 → 12

Calls

4 calls:

103.0ms	(* (cos x) (/ (sinh y) y))
244.0ms	(* (* (* (cos x) (/ (sinh y) y)) (* (cos x) (/ (sinh y) y))) (* (cos x) (/ (sinh y) y)))
195.0ms	(* (* (cos x) (/ (sinh y) y)) (* (cos x) (/ (sinh y) y)))
149.0ms	(cbrt (* (* (* (cos x) (/ (sinh y) y)) (* (cos x) (/ (sinh y) y))) (* (cos x) (/ (sinh y) y))))

simplify2.2s

Counts

241 → 241

Iterations

Iter	Nodes
done	5004
2	2933
1	758
0	273

prune470.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `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 → 85

Calls

4 calls:

11.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series1.0s

Counts

4 → 12

Calls

4 calls:

299.0ms	(* (cbrt y) (cbrt y))
209.0ms	(cbrt y)
262.0ms	(cbrt y)
236.0ms	(cbrt y)

simplify2.9s

Counts

97 → 97

Iterations

Iter	Nodes
done	5001
4	4657
3	1110
2	364
1	141
0	67

prune429.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes143.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	7
1	7
0	6

end0.0ms

sample4.5s

Algorithm

intervals

Results

1.5s	2952×	body	1280	valid
1.1s	2371×	body	640	valid
1.0s	8467×	body	80	valid
385.0ms	1196×	body	320	valid
161.0ms	660×	body	160	valid