Details

sample67.0ms

Algorithm

intervals

Results

20.0ms	71×	body	1280	valid
14.0ms	76×	body	640	valid
13.0ms	319×	body	80	valid
4.0ms	32×	body	320	valid
2.0ms	20×	body	160	valid

simplify12.0s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	7
1	15	7
2	32	7
3	68	7
4	143	7
5	268	7
6	494	7
7	1095	7
8	2374	7
9	3240	7
10	4789	7
done	5001	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.1b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (sin x) (sinh y))
14.1b	(/ (* (sin x) (sinh y)) x)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 55

Calls

3 calls:

1.0ms	(sinh y)
4.0ms	(* (sin x) (sinh y))
4.0ms	(/ (* (sin x) (sinh y)) x)

series245.0ms

Counts

3 → 9

Calls

3 calls:

63.0ms	(sinh y)
82.0ms	(* (sin x) (sinh y))
100.0ms	(/ (* (sin x) (sinh y)) x)

simplify869.0ms

Counts

64 → 64

Iterations

Useful iterations: done (867.0ms)

Iter	Nodes	Cost
0	123	572
1	292	546
2	1065	476
done	5000	474

prune162.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

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:

0.0ms	(sinh y)
3.0ms	(/ (sinh y) x)
9.0ms	(* (sin x) (/ (sinh y) x))

series234.0ms

Counts

3 → 9

Calls

3 calls:

63.0ms	(sinh y)
74.0ms	(/ (sinh y) x)
96.0ms	(* (sin x) (/ (sinh y) x))

simplify2.7s

Counts

83 → 83

Iterations

Useful iterations: 3 (1.7s)

Iter	Nodes	Cost
0	146	770
1	343	727
2	1076	657
3	4303	655
done	5001	655

prune200.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (sin x)) (cbrt (sin x)))
0.7b	(cbrt (sin x))
0.7b	(cbrt (sin x))
0.7b	(cbrt (sin x))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `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 → 81

Calls

4 calls:

6.0ms	(* (cbrt (sin x)) (cbrt (sin x)))
1.0ms	(cbrt (sin x))
1.0ms	(cbrt (sin x))
1.0ms	(cbrt (sin x))

series413.0ms

Counts

4 → 12

Calls

4 calls:

117.0ms	(* (cbrt (sin x)) (cbrt (sin x)))
101.0ms	(cbrt (sin x))
97.0ms	(cbrt (sin x))
98.0ms	(cbrt (sin x))

simplify4.0s

Counts

93 → 93

Iterations

Useful iterations: 4 (2.0s)

Iter	Nodes	Cost
0	79	750
1	161	669
2	412	564
3	1331	541
4	4381	531
done	5000	531

prune225.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (sin x) (sinh y))
14.2b	(* (* (sin x) (sinh y)) (/ 1 x))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-exp-log`
17×	`add-cbrt-cube`
16×	`associate-r`
14×	`add-sqr-sqrt`
13×	`prod-exp`
12×	`add-cube-cbrt` `*-un-lft-identity`
10×	`pow1`
9×	`times-frac`
7×	`cbrt-unprod`
4×	`sinh-def` `associate-r/` `div-exp` `associate-l*` `pow-prod-down`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `rec-exp` `1-exp` `*-commutative`
1×	`frac-times` `associate-*l/` `un-div-inv` `div-inv` `unswap-sqr`

Counts

3 → 73

Calls

3 calls:

0.0ms	(sinh y)
4.0ms	(* (sin x) (sinh y))
13.0ms	(* (* (sin x) (sinh y)) (/ 1 x))

series242.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(sinh y)
84.0ms	(* (sin x) (sinh y))
95.0ms	(* (* (sin x) (sinh y)) (/ 1 x))

simplify1.7s

Counts

82 → 82

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	159	865
1	429	751
2	1368	617
done	5000	615

prune156.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes74.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	7	7
done	7	7

end0.0ms

sample1.8s

Algorithm

intervals

Results

528.0ms	1848×	body	1280	valid
402.0ms	10361×	body	80	valid
355.0ms	1977×	body	640	valid
145.0ms	1122×	body	320	valid
57.0ms	621×	body	160	valid