Details

sample117.0ms

Algorithm

intervals

Results

30.0ms	54×	body	1280	valid
29.0ms	354×	body	80	valid
22.0ms	58×	body	640	valid
9.0ms	36×	body	320	valid
3.0ms	15×	body	160	valid

simplify2.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5002
7	4266
6	847
5	280
4	144
3	69
2	32
1	15
0	6

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

1.2b	(/ (sin x) (/ x (sinh y)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

78×	`times-frac`
44×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
14×	`associate-/r*`
6×	`add-cbrt-cube` `add-exp-log`
5×	`associate-/r/` `div-inv`
4×	`sinh-def`
3×	`cbrt-undiv` `div-exp` `associate-/l*`
1×	`pow1` `clear-num` `frac-2neg` `add-log-exp`

Counts

1 → 74

Calls

1 calls:

15.0ms

(/ (sin x) (/ x (sinh y)))

series145.0ms

Counts

1 → 3

Calls

1 calls:

145.0ms

(/ (sin x) (/ x (sinh y)))

simplify1.0s

Counts

77 → 77

Iterations

Iter	Nodes
done	5000
2	2470
1	472
0	186

prune897.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (* 1 (sinh y)) x)
0.4b	(* (sin x) (/ (* 1 (sinh y)) x))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 51

Calls

2 calls:

17.0ms	(/ (* 1 (sinh y)) x)
28.0ms	(* (sin x) (/ (* 1 (sinh y)) x))

series267.0ms

Counts

2 → 6

Calls

2 calls:

94.0ms	(/ (* 1 (sinh y)) x)
173.0ms	(* (sin x) (/ (* 1 (sinh y)) x))

simplify931.0ms

Counts

57 → 57

Iterations

Iter	Nodes
done	5001
2	2026
1	355
0	129

prune328.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize54.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (/ (sinh y) x)) (cbrt (/ (sinh y) x)))
14.1b	(cbrt (/ (sinh y) x))
14.1b	(cbrt (/ (sinh y) x))
14.1b	(cbrt (/ (sinh y) x))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

103×	`cbrt-prod`
81×	`add-sqr-sqrt`
69×	`times-frac`
57×	`*-un-lft-identity` `add-cube-cbrt`
16×	`swap-sqr` `associate-r` `associate-l`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `div-inv`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-l/` `prod-exp` `associate-r/` `*-commutative` `cbrt-unprod`

Counts

4 → 144

Calls

4 calls:

43.0ms	(* (cbrt (/ (sinh y) x)) (cbrt (/ (sinh y) x)))
4.0ms	(cbrt (/ (sinh y) x))
4.0ms	(cbrt (/ (sinh y) x))
4.0ms	(cbrt (/ (sinh y) x))

series941.0ms

Counts

4 → 12

Calls

4 calls:

281.0ms	(* (cbrt (/ (sinh y) x)) (cbrt (/ (sinh y) x)))
223.0ms	(cbrt (/ (sinh y) x))
230.0ms	(cbrt (/ (sinh y) x))
207.0ms	(cbrt (/ (sinh y) x))

simplify1.1s

Counts

156 → 156

Iterations

Iter	Nodes
done	5001
2	1510
1	385
0	191

prune1.1s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt (sin x)) (cbrt (sin x)))
0.6b	(cbrt (sin x))
0.6b	(cbrt (sin x))
0.6b	(cbrt (sin x))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

17.0ms	(* (cbrt (sin x)) (cbrt (sin x)))
2.0ms	(cbrt (sin x))
2.0ms	(cbrt (sin x))
2.0ms	(cbrt (sin x))

series595.0ms

Counts

4 → 12

Calls

4 calls:

174.0ms	(* (cbrt (sin x)) (cbrt (sin x)))
147.0ms	(cbrt (sin x))
125.0ms	(cbrt (sin x))
150.0ms	(cbrt (sin x))

simplify1.1s

Counts

85 → 85

Iterations

Iter	Nodes
done	5001
2	753
1	177
0	75

prune390.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes240.0ms

Accuracy

0% (0.7b remaining)

Error of 0.8b against oracle of 0.1b and baseline of 0.8b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	6
0	6

end0.0ms

sample3.6s

Algorithm

intervals

Results

1.0s	2049×	body	640	valid
965.0ms	1953×	body	1280	valid
848.0ms	10324×	body	80	valid
210.0ms	1105×	body	320	valid
116.0ms	615×	body	160	valid