Details

sample221.0ms

Algorithm

intervals

Results

72.0ms	86×	body	1280	valid
63.0ms	289×	body	80	valid
42.0ms	73×	body	640	valid
19.0ms	44×	body	320	valid
6.0ms	22×	body	160	valid

simplify2.0s

Counts

1 → 1

Iterations

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 3 expressions with local error:

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

rewrite42.0ms

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:

13.0ms	(/ (sinh y) y)
3.0ms	(sinh y)
24.0ms	(* (sin x) (/ (sinh y) y))

series334.0ms

Counts

3 → 9

Calls

3 calls:

125.0ms	(/ (sinh y) y)
68.0ms	(sinh y)
139.0ms	(* (sin x) (/ (sinh y) y))

simplify2.4s

Counts

80 → 80

Iterations

Iter	Nodes
done	5004
3	3827
2	1042
1	346
0	143

prune356.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

87×	`times-frac`
54×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
17×	`associate-/r*`
10×	`add-cbrt-cube` `add-exp-log`
6×	`sinh-def` `associate-/r/` `div-inv` `associate-/l*`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `insert-posit16` `add-log-exp`
2×	`clear-num` `frac-2neg`

Counts

3 → 113

Calls

3 calls:

5.0ms	(/ y (sinh y))
14.0ms	(/ (sin x) (/ y (sinh y)))
1.0ms	(sinh y)

series378.0ms

Counts

3 → 9

Calls

3 calls:

155.0ms	(/ y (sinh y))
144.0ms	(/ (sin x) (/ y (sinh y)))
78.0ms	(sinh y)

simplify1.4s

Counts

122 → 122

Iterations

Iter	Nodes
done	5001
2	1838
1	551
0	222

prune545.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

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

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

66×	`add-sqr-sqrt` `sqrt-prod`
42×	`times-frac`
37×	`*-un-lft-identity` `add-cube-cbrt`
24×	`pow1`
19×	`associate-l`
18×	`swap-sqr`
17×	`associate-r`
11×	`add-cbrt-cube` `add-exp-log`
10×	`unswap-sqr`
8×	`sqrt-pow1` `pow1/2` `sqrt-div`
6×	`pow-prod-down`
5×	`associate-*r/` `pow-prod-up`
4×	`prod-exp` `cbrt-unprod` `insert-posit16` `div-inv` `add-log-exp`
3×	`pow-sqr`
2×	`frac-times` `sinh-def` `associate-l/` `-commutative`
1×	`pow2` `rem-square-sqrt` `pow-plus` `sqrt-unprod`

Counts

4 → 129

Calls

4 calls:

33.0ms	(* (sqrt (/ (sinh y) y)) (sqrt (/ (sinh y) y)))
3.0ms	(sinh y)
3.0ms	(sinh y)
45.0ms	(* (sin x) (* (sqrt (/ (sinh y) y)) (sqrt (/ (sinh y) y))))

series848.0ms

Counts

4 → 12

Calls

4 calls:

108.0ms	(* (sqrt (/ (sinh y) y)) (sqrt (/ (sinh y) y)))
86.0ms	(sinh y)
469.0ms	(sinh y)
184.0ms	(* (sin x) (* (sqrt (/ (sinh y) y)) (sqrt (/ (sinh y) y))))

simplify2.4s

Counts

141 → 141

Iterations

Iter	Nodes
done	5006
2	2897
1	819
0	327

prune569.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* (* y y) 7/360) 1/6)
0.1b	(* (* y y) 7/360)
0.2b	(* (* y y) (- (* (* y y) 7/360) 1/6))

rewrite186.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow1` `add-cbrt-cube` `add-exp-log`
7×	`add-sqr-sqrt`
6×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`*-un-lft-identity` `add-cube-cbrt` `add-log-exp`
3×	`sub-neg` `insert-posit16`
2×	`distribute-rgt-in` `distribute-lft-in` `flip3--` `associate-l` `associate-r/` `-commutative` `flip--` `unswap-sqr`
1×	`diff-log`

Counts

3 → 59

Calls

3 calls:

24.0ms	(- (* (* y y) 7/360) 1/6)
31.0ms	(* (* y y) 7/360)
131.0ms	(* (* y y) (- (* (* y y) 7/360) 1/6))

series266.0ms

Counts

3 → 9

Calls

3 calls:

75.0ms	(- (* (* y y) 7/360) 1/6)
50.0ms	(* (* y y) 7/360)
140.0ms	(* (* y y) (- (* (* y y) 7/360) 1/6))

simplify2.6s

Counts

68 → 68

Iterations

Iter	Nodes
done	5044
3	3025
2	791
1	249
0	90

prune282.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes122.0ms

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	9
1	9
0	8

end0.0ms

sample7.2s

Algorithm

intervals

Results

2.9s	2921×	body	1280	valid
2.1s	2517×	body	640	valid
1.2s	8462×	body	80	valid
440.0ms	1192×	body	320	valid
161.0ms	646×	body	160	valid