Details

sample375.0ms

Algorithm

intervals

Results

95.0ms	98×	body	1280	valid
76.0ms	106×	body	640	valid
54.0ms	256×	body	80	valid
36.0ms	54×	body	320	valid
14.0ms	27×	body	160	valid

simplify11.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
7	1905
6	631
5	245
4	128
3	65
2	30
1	15
0	6

prune29.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize135.0ms

Local error

Found 3 expressions with local error:

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

rewrite62.0ms

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:

15.0ms	(/ (sinh y) y)
3.0ms	(sinh y)
39.0ms	(* (sin x) (/ (sinh y) y))

series839.0ms

Counts

3 → 9

Calls

3 calls:

226.0ms	(/ (sinh y) y)
127.0ms	(sinh y)
485.0ms	(* (sin x) (/ (sinh y) y))

simplify11.3s

Counts

83 → 83

Iterations

Iter	Nodes
done	5001
3	4035
2	1078
1	360
0	146

prune856.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize452.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (/ y (sinh y)))
0.0b	(sinh y)
0.0b	(/ y (sinh y))
0.0b	(* (sin x) (/ 1 (/ y (sinh y))))

rewrite143.0ms

Algorithm

rewrite-expression-head

Rules

162×	`times-frac`
106×	`add-sqr-sqrt`
94×	`*-un-lft-identity`
92×	`add-cube-cbrt`
47×	`associate-r`
36×	`add-exp-log`
20×	`add-cbrt-cube`
17×	`associate-/r*`
15×	`div-exp`
10×	`associate-/r/` `div-inv`
9×	`sinh-def`
7×	`pow1` `cbrt-undiv` `prod-exp`
6×	`associate-/l*`
5×	`unswap-sqr`
4×	`expm1-log1p-u` `rec-exp` `1-exp` `log1p-expm1-u` `add-log-exp`
3×	`associate-l` `cbrt-unprod`
2×	`frac-2neg` `clear-num`
1×	`pow-flip` `associate-r/` `pow-prod-down` `un-div-inv` `-commutative` `inv-pow`

Counts

4 → 200

Calls

4 calls:

21.0ms	(/ 1 (/ y (sinh y)))
3.0ms	(sinh y)
12.0ms	(/ y (sinh y))
88.0ms	(* (sin x) (/ 1 (/ y (sinh y))))

series3.1s

Counts

4 → 12

Calls

4 calls:

176.0ms	(/ 1 (/ y (sinh y)))
123.0ms	(sinh y)
2.6s	(/ y (sinh y))
219.0ms	(* (sin x) (/ 1 (/ y (sinh y))))

simplify5.4s

Counts

212 → 212

Iterations

Iter	Nodes
done	5001
2	2255
1	816
0	299

prune2.6s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize166.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt (sinh y))
0.6b	(cbrt (sinh y))
0.6b	(cbrt (sinh y))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`sinh-def` `cbrt-div`

Counts

4 → 55

Calls

4 calls:

2.0ms	(cbrt y)
3.0ms	(cbrt (sinh y))
3.0ms	(cbrt (sinh y))
5.0ms	(cbrt (sinh y))

series2.2s

Counts

4 → 12

Calls

4 calls:

853.0ms	(cbrt y)
514.0ms	(cbrt (sinh y))
375.0ms	(cbrt (sinh y))
475.0ms	(cbrt (sinh y))

simplify9.0s

Counts

67 → 67

Iterations

Iter	Nodes
done	5019
5	3508
4	1204
3	506
2	254
1	121
0	66

prune2.0s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize70.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ y (sinh y))
0.3b	(* (* (/ (sin x) (/ y (sinh y))) (/ (sin x) (/ y (sinh y)))) (/ (sin x) (/ y (sinh y))))
0.3b	(* (/ (sin x) (/ y (sinh y))) (/ (sin x) (/ y (sinh y))))
16.5b	(cbrt (* (* (/ (sin x) (/ y (sinh y))) (/ (sin x) (/ y (sinh y)))) (/ (sin x) (/ y (sinh y)))))

rewrite1.1s

Algorithm

rewrite-expression-head

Rules

375×	`times-frac`
234×	`add-sqr-sqrt`
213×	`add-exp-log` `add-cbrt-cube`
192×	`add-cube-cbrt` `*-un-lft-identity`
103×	`cbrt-undiv` `div-exp`
94×	`associate-r`
66×	`prod-exp` `cbrt-unprod`
48×	`associate-l`
47×	`swap-sqr`
30×	`pow1`
21×	`associate-/r/` `div-inv`
16×	`sinh-def`
12×	`unswap-sqr`
11×	`frac-times` `associate-*l/`
7×	`cbrt-div` `pow-plus` `associate-*r/` `pow-prod-up`
4×	`expm1-log1p-u` `pow-prod-down` `log1p-expm1-u` `add-log-exp`
3×	`pow2` `associate-/r` `pow-sqr` `associate-/l`
2×	`pow3` `*-commutative`
1×	`cbrt-prod` `frac-2neg` `pow1/3` `clear-num` `rem-cbrt-cube`

Counts

4 → 374

Calls

4 calls:

20.0ms	(/ y (sinh y))
324.0ms	(* (* (/ (sin x) (/ y (sinh y))) (/ (sin x) (/ y (sinh y)))) (/ (sin x) (/ y (sinh y))))
273.0ms	(* (/ (sin x) (/ y (sinh y))) (/ (sin x) (/ y (sinh y))))
328.0ms	(cbrt (* (* (/ (sin x) (/ y (sinh y))) (/ (sin x) (/ y (sinh y)))) (/ (sin x) (/ y (sinh y)))))

series2.4s

Counts

4 → 12

Calls

4 calls:

382.0ms	(/ y (sinh y))
723.0ms	(* (* (/ (sin x) (/ y (sinh y))) (/ (sin x) (/ y (sinh y)))) (/ (sin x) (/ y (sinh y))))
486.0ms	(* (/ (sin x) (/ y (sinh y))) (/ (sin x) (/ y (sinh y))))
755.0ms	(cbrt (* (* (/ (sin x) (/ y (sinh y))) (/ (sin x) (/ y (sinh y)))) (/ (sin x) (/ y (sinh y)))))

simplify7.3s

Counts

386 → 386

Iterations

Iter	Nodes
done	5002
1	2166
0	580

prune5.3s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes516.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	11
1	11
0	8

end0.0ms

sample25.9s

Algorithm

intervals

Results

11.3s	8532×	body	80	valid
6.5s	2961×	body	1280	valid
6.0s	2490×	body	640	valid
730.0ms	1194×	body	320	valid
552.0ms	603×	body	160	valid