Details

sample147.0ms

Algorithm

intervals

Results

50.0ms	86×	body	1280	valid
40.0ms	86×	body	640	valid
22.0ms	284×	body	80	valid
13.0ms	53×	body	320	valid
2.0ms	15×	body	160	valid

simplify2.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5004
7	1809
6	607
5	236
4	126
3	65
2	30
1	15
0	6

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite26.0ms

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×	`associate-/r` `associate-l` `insert-posit16` `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 → 71

Calls

3 calls:

7.0ms	(/ (sinh y) y)
1.0ms	(sinh y)
16.0ms	(* (cos x) (/ (sinh y) y))

series291.0ms

Counts

3 → 9

Calls

3 calls:

106.0ms	(/ (sinh y) y)
74.0ms	(sinh y)
112.0ms	(* (cos x) (/ (sinh y) y))

simplify1.7s

Counts

80 → 80

Iterations

Iter	Nodes
done	5006
3	3570
2	1002
1	335
0	140

prune249.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

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

rewrite213.0ms

Algorithm

rewrite-expression-head

Rules

103×	`cbrt-prod`
82×	`add-sqr-sqrt`
69×	`times-frac`
58×	`*-un-lft-identity` `add-cube-cbrt`
32×	`associate-r`
20×	`pow1`
18×	`cbrt-div`
17×	`associate-l`
16×	`swap-sqr`
15×	`add-exp-log`
10×	`associate-*r/`
9×	`unswap-sqr`
8×	`add-cbrt-cube` `pow1/3` `pow-prod-down`
7×	`prod-exp` `cbrt-unprod` `div-inv`
6×	`frac-times` `associate-*l/`
4×	`insert-posit16` `add-log-exp`
2×	`pow-sqr` `*-commutative` `pow-prod-up`
1×	`pow2` `pow-plus`

Counts

4 → 167

Calls

4 calls:

3.0ms	(cbrt (/ (sinh y) y))
3.0ms	(cbrt (/ (sinh y) y))
163.0ms	(* (* (cos x) (* (cbrt (/ (sinh y) y)) (cbrt (/ (sinh y) y)))) (cbrt (/ (sinh y) y)))
37.0ms	(* (cbrt (/ (sinh y) y)) (cbrt (/ (sinh y) y)))

series987.0ms

Counts

4 → 12

Calls

4 calls:

273.0ms	(cbrt (/ (sinh y) y))
257.0ms	(cbrt (/ (sinh y) y))
131.0ms	(* (* (cos x) (* (cbrt (/ (sinh y) y)) (cbrt (/ (sinh y) y)))) (cbrt (/ (sinh y) y)))
325.0ms	(* (cbrt (/ (sinh y) y)) (cbrt (/ (sinh y) y)))

simplify1.7s

Counts

179 → 179

Iterations

Iter	Nodes
done	5000
2	1578
1	613
0	259

prune764.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 52

Calls

3 calls:

1.0ms	(sinh y)
13.0ms	(* (cos x) (sinh y))
13.0ms	(/ (* (cos x) (sinh y)) y)

series239.0ms

Counts

3 → 9

Calls

3 calls:

63.0ms	(sinh y)
80.0ms	(* (cos x) (sinh y))
95.0ms	(/ (* (cos x) (sinh y)) y)

simplify1.1s

Counts

61 → 61

Iterations

Iter	Nodes
done	5004
2	921
1	274
0	115

prune227.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.1b	(* y (* y y))
0.1b	(* (* y (* y y)) 1/6)
0.1b	(* (cos x) (+ (+ (* (* y (* y y)) 1/6) (* (pow y 5) 1/120)) y))
0.2b	(/ (* (cos x) (+ (+ (* (* y (* y y)) 1/6) (* (pow y 5) 1/120)) y)) y)

rewrite1.3s

Algorithm

rewrite-expression-head

Rules

29×	`pow1`
25×	`add-cbrt-cube` `add-exp-log`
13×	`add-sqr-sqrt`
12×	`*-un-lft-identity`
11×	`prod-exp` `cbrt-unprod`
10×	`pow-prod-down` `add-cube-cbrt`
8×	`associate-r`
7×	`associate-l`
5×	`pow-prod-up`
4×	`associate-*r/` `insert-posit16` `add-log-exp`
3×	`associate-/r` `times-frac` `-commutative`
2×	`cbrt-undiv` `flip3-+` `div-exp` `flip-+` `unswap-sqr` `associate-/l/`
1×	`pow2` `distribute-rgt-in` `clear-num` `frac-2neg` `distribute-lft-in` `pow-plus` `cube-unmult` `pow-sqr` `div-inv` `distribute-lft-out` `associate-/l*`

Counts

4 → 95

Calls

4 calls:

19.0ms	(* y (* y y))
55.0ms	(* (* y (* y y)) 1/6)
821.0ms	(* (cos x) (+ (+ (* (* y (* y y)) 1/6) (* (pow y 5) 1/120)) y))
398.0ms	(/ (* (cos x) (+ (+ (* (* y (* y y)) 1/6) (* (pow y 5) 1/120)) y)) y)

series522.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(* y (* y y))
67.0ms	(* (* y (* y y)) 1/6)
173.0ms	(* (cos x) (+ (+ (* (* y (* y y)) 1/6) (* (pow y 5) 1/120)) y))
225.0ms	(/ (* (cos x) (+ (+ (* (* y (* y y)) 1/6) (* (pow y 5) 1/120)) y)) y)

simplify1.6s

Counts

107 → 107

Iterations

Iter	Nodes
done	5003
2	1768
1	450
0	168

prune441.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes191.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	7
1	7
0	6

end0.0ms

sample4.5s

Algorithm

intervals

Results

1.9s	2952×	body	1280	valid
969.0ms	8467×	body	80	valid
944.0ms	2371×	body	640	valid
284.0ms	1196×	body	320	valid
122.0ms	660×	body	160	valid