Details

sample206.0ms

Algorithm

intervals

Results

66.0ms	86×	body	1280	valid
52.0ms	289×	body	80	valid
45.0ms	73×	body	640	valid
17.0ms	44×	body	320	valid
6.0ms	22×	body	160	valid

simplify3.3s

Counts

1 → 1

Iterations

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite23.0ms

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:

6.0ms	(/ (sinh y) y)
1.0ms	(sinh y)
14.0ms	(* (sin x) (/ (sinh y) y))

series377.0ms

Counts

3 → 9

Calls

3 calls:

131.0ms	(/ (sinh y) y)
86.0ms	(sinh y)
160.0ms	(* (sin x) (/ (sinh y) y))

simplify2.6s

Counts

86 → 86

Iterations

Iter	Nodes
done	5003
3	4085
2	1110
1	363
0	149

prune381.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 90

Calls

4 calls:

9.0ms	(/ (sinh y) y)
31.0ms	(* (sin x) (sqrt (/ (sinh y) y)))
3.0ms	(sinh y)
3.0ms	(sinh y)

series587.0ms

Counts

4 → 12

Calls

4 calls:

161.0ms	(/ (sinh y) y)
252.0ms	(* (sin x) (sqrt (/ (sinh y) y)))
81.0ms	(sinh y)
92.0ms	(sinh y)

simplify2.6s

Counts

102 → 102

Iterations

Iter	Nodes
done	5006
2	3049
1	710
0	270

prune748.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize19.0ms

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))))

rewrite74.0ms

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×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `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 → 137

Calls

4 calls:

29.0ms	(* (sqrt (/ (sinh y) y)) (sqrt (/ (sinh y) y)))
4.0ms	(sinh y)
1.0ms	(sinh y)
35.0ms	(* (sin x) (* (sqrt (/ (sinh y) y)) (sqrt (/ (sinh y) y))))

series490.0ms

Counts

4 → 12

Calls

4 calls:

145.0ms	(* (sqrt (/ (sinh y) y)) (sqrt (/ (sinh y) y)))
115.0ms	(sinh y)
73.0ms	(sinh y)
156.0ms	(* (sin x) (* (sqrt (/ (sinh y) y)) (sqrt (/ (sinh y) y))))

simplify3.1s

Counts

149 → 149

Iterations

Iter	Nodes
done	5001
2	3032
1	852
0	333

prune751.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b	(sinh y)
0.1b	(/ (sin x) (sqrt y))
0.1b	(* (/ (sin x) (sqrt y)) (/ (sinh y) (sqrt y)))
0.2b	(/ (sinh y) (sqrt y))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

90×	`add-sqr-sqrt`
84×	`times-frac`
60×	`*-un-lft-identity` `add-cube-cbrt`
48×	`sqrt-prod`
22×	`associate-r` `associate-l`
20×	`add-cbrt-cube` `add-exp-log`
12×	`associate-/r*`
9×	`unswap-sqr`
6×	`pow1` `cbrt-undiv` `div-exp` `associate-/l*`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`sinh-def` `clear-num` `frac-2neg`
1×	`frac-times` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative` `associate-/l/`

Counts

4 → 172

Calls

4 calls:

1.0ms	(sinh y)
9.0ms	(/ (sin x) (sqrt y))
40.0ms	(* (/ (sin x) (sqrt y)) (/ (sinh y) (sqrt y)))
14.0ms	(/ (sinh y) (sqrt y))

series426.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(sinh y)
82.0ms	(/ (sin x) (sqrt y))
162.0ms	(* (/ (sin x) (sqrt y)) (/ (sinh y) (sqrt y)))
105.0ms	(/ (sinh y) (sqrt y))

simplify2.5s

Counts

184 → 184

Iterations

Iter	Nodes
done	5001
2	2977
1	881
0	313

prune853.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes157.0ms

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	10
1	10
0	8

end0.0ms

sample7.2s

Algorithm

intervals

Results

2.6s	2921×	body	1280	valid
1.9s	2517×	body	640	valid
1.2s	8462×	body	80	valid
997.0ms	1192×	body	320	valid
192.0ms	646×	body	160	valid