Details

sample128.0ms

Algorithm

intervals

Results

41.0ms	54×	body	1280	valid
26.0ms	354×	body	80	valid
21.0ms	58×	body	640	valid
9.0ms	36×	body	320	valid
2.0ms	15×	body	160	valid

simplify2.3s

Counts

1 → 1

Iterations

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.3b

localize10.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (sin x) (sinh y))
14.3b	(/ (* (sin x) (sinh y)) x)

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 41

Calls

2 calls:

18.0ms	(* (sin x) (sinh y))
12.0ms	(/ (* (sin x) (sinh y)) x)

series267.0ms

Counts

2 → 6

Calls

2 calls:

111.0ms	(* (sin x) (sinh y))
156.0ms	(/ (* (sin x) (sinh y)) x)

simplify1.1s

Counts

47 → 47

Iterations

Iter	Nodes
done	5002
2	1572
1	272
0	107

prune250.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 60

Calls

2 calls:

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

series261.0ms

Counts

2 → 6

Calls

2 calls:

86.0ms	(/ (sinh y) x)
175.0ms	(* (sin x) (/ (sinh y) x))

simplify1.3s

Counts

66 → 66

Iterations

Iter	Nodes
done	5001
2	1593
1	327
0	132

prune410.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite18.0ms

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)))

series151.0ms

Counts

1 → 3

Calls

1 calls:

151.0ms

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

simplify1.2s

Counts

77 → 77

Iterations

Iter	Nodes
done	5000
2	2470
1	472
0	186

prune445.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize42.0ms

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))

rewrite51.0ms

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:

39.0ms	(* (cbrt (/ (sinh y) x)) (cbrt (/ (sinh y) x)))
2.0ms	(cbrt (/ (sinh y) x))
2.0ms	(cbrt (/ (sinh y) x))
2.0ms	(cbrt (/ (sinh y) x))

series877.0ms

Counts

4 → 12

Calls

4 calls:

256.0ms	(* (cbrt (/ (sinh y) x)) (cbrt (/ (sinh y) x)))
182.0ms	(cbrt (/ (sinh y) x))
178.0ms	(cbrt (/ (sinh y) x))
260.0ms	(cbrt (/ (sinh y) x))

simplify1.3s

Counts

156 → 156

Iterations

Iter	Nodes
done	5001
2	1510
1	385
0	191

prune916.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes267.0ms

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

sample4.2s

Algorithm

intervals

Results

1.1s	10324×	body	80	valid
1.0s	1953×	body	1280	valid
658.0ms	2049×	body	640	valid
520.0ms	615×	body	160	valid
218.0ms	1105×	body	320	valid