Details

sample66.0ms

Algorithm

intervals

Results

26.0ms	87×	body	1280	valid
12.0ms	63×	body	640	valid
10.0ms	256×	body	80	valid
4.0ms	32×	body	320	valid
1.0ms	14×	body	160	valid

simplify15.1s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	7
1	15	7
2	29	7
3	64	7
4	136	7
5	250	7
6	464	7
7	1010	7
8	2113	7
9	2986	7
10	4238	7
11	4671	7
12	4739	7
13	4750	7
done	5000	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite14.0ms

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:

3.0ms	(/ (sinh y) y)
1.0ms	(sinh y)
9.0ms	(* (sin x) (/ (sinh y) y))

series248.0ms

Counts

3 → 9

Calls

3 calls:

86.0ms	(/ (sinh y) y)
58.0ms	(sinh y)
103.0ms	(* (sin x) (/ (sinh y) y))

simplify2.6s

Counts

83 → 83

Iterations

Useful iterations: 3 (1.5s)

Iter	Nodes	Cost
0	146	764
1	346	716
2	1104	650
3	4542	649
done	5001	649

prune196.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (sinh y) y)
0.0b	(expm1 (log1p (/ (sinh y) y)))
0.2b	(* (sin x) (expm1 (log1p (/ (sinh y) y))))
0.3b	(log1p (/ (sinh y) y))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

3.0ms	(/ (sinh y) y)
0.0ms	(expm1 (log1p (/ (sinh y) y)))
4.0ms	(* (sin x) (expm1 (log1p (/ (sinh y) y))))
0.0ms	(log1p (/ (sinh y) y))

series694.0ms

Counts

4 → 12

Calls

4 calls:

89.0ms	(/ (sinh y) y)
363.0ms	(expm1 (log1p (/ (sinh y) y)))
149.0ms	(* (sin x) (expm1 (log1p (/ (sinh y) y))))
91.0ms	(log1p (/ (sinh y) y))

simplify668.0ms

Counts

84 → 84

Iterations

Useful iterations: done (662.0ms)

Iter	Nodes	Cost
0	207	1020
1	507	882
2	1650	786
done	5001	782

prune239.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

54×	`sqrt-prod`
48×	`add-sqr-sqrt`
39×	`times-frac`
35×	`add-cube-cbrt` `*-un-lft-identity`
32×	`associate-r`
13×	`pow1`
11×	`add-exp-log` `add-cbrt-cube`
7×	`sqrt-div`
4×	`expm1-log1p-u` `rem-sqrt-square` `associate-r/` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`unswap-sqr`
2×	`sqrt-pow1` `pow1/2` `*-commutative`
1×	`frac-times` `associate-*l/`

Counts

4 → 126

Calls

4 calls:

11.0ms	(* (sin x) (sqrt (/ (sinh y) y)))
27.0ms	(* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))
3.0ms	(sqrt (/ (sinh y) y))
3.0ms	(sqrt (/ (sinh y) y))

series478.0ms

Counts

4 → 12

Calls

4 calls:

185.0ms	(* (sin x) (sqrt (/ (sinh y) y)))
126.0ms	(* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))
83.0ms	(sqrt (/ (sinh y) y))
84.0ms	(sqrt (/ (sinh y) y))

simplify1.6s

Counts

138 → 138

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	383	2643
1	1106	2288
2	4313	2017
done	5000	2014

prune441.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (sqrt (/ (sinh y) y)) 3)
0.2b	(sqrt (/ (sinh y) y))
0.2b	(sqrt (/ (sinh y) y))
0.2b	(cbrt (pow (sqrt (/ (sinh y) y)) 3))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

78×	`sqrt-prod`
58×	`add-sqr-sqrt`
56×	`times-frac`
52×	`add-cube-cbrt` `*-un-lft-identity`
38×	`cbrt-prod`
32×	`unpow-prod-down` `cube-prod`
8×	`pow1`
6×	`div-inv`
5×	`add-exp-log` `add-cbrt-cube`
4×	`expm1-log1p-u` `rem-sqrt-square` `sqrt-div` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `pow-pow` `sqrt-pow1` `pow1/2`
2×	`cube-div` `cube-mult` `unpow3` `sqr-pow`
1×	`pow-to-exp` `cbrt-div` `pow1/3` `pow-exp` `sqrt-pow2` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 159

Calls

4 calls:

5.0ms	(pow (sqrt (/ (sinh y) y)) 3)
3.0ms	(sqrt (/ (sinh y) y))
3.0ms	(sqrt (/ (sinh y) y))
6.0ms	(cbrt (pow (sqrt (/ (sinh y) y)) 3))

series374.0ms

Counts

4 → 12

Calls

4 calls:

126.0ms	(pow (sqrt (/ (sinh y) y)) 3)
81.0ms	(sqrt (/ (sinh y) y))
83.0ms	(sqrt (/ (sinh y) y))
84.0ms	(cbrt (pow (sqrt (/ (sinh y) y)) 3))

simplify898.0ms

Counts

171 → 171

Iterations

Useful iterations: done (892.0ms)

Iter	Nodes	Cost
0	368	3317
1	1030	2673
2	2964	2457
done	5000	2414

prune517.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.2b

regimes258.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	17
1	13	17
done	13	17

end0.0ms

sample2.1s

Algorithm

intervals

Results

835.0ms	2934×	body	1280	valid
437.0ms	2478×	body	640	valid
359.0ms	8581×	body	80	valid
156.0ms	1247×	body	320	valid
53.0ms	618×	body	160	valid