Details

sample61.0ms

Algorithm

intervals

Results

17.0ms	63×	body	1280	valid
13.0ms	345×	body	80	valid
11.0ms	61×	body	640	valid
4.0ms	35×	body	320	valid
2.0ms	18×	body	160	valid

simplify5.6s

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	146	7
5	282	7
6	560	7
7	1631	7
8	3710	7
done	5000	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.1b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (sin x) (sinh y))
15.1b	(/ (* (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:

0.0ms	(sinh y)
4.0ms	(* (sin x) (sinh y))
5.0ms	(/ (* (sin x) (sinh y)) x)

series240.0ms

Counts

3 → 9

Calls

3 calls:

60.0ms	(sinh y)
85.0ms	(* (sin x) (sinh y))
95.0ms	(/ (* (sin x) (sinh y)) x)

simplify433.0ms

Counts

64 → 64

Iterations

Useful iterations: done (429.0ms)

Iter	Nodes	Cost
0	123	572
1	298	546
2	1197	475
done	5000	447

prune145.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

3.0ms	(/ (sinh y) x)
0.0ms	(sinh y)
8.0ms	(* (sin x) (/ (sinh y) x))

series226.0ms

Counts

3 → 9

Calls

3 calls:

73.0ms	(/ (sinh y) x)
58.0ms	(sinh y)
95.0ms	(* (sin x) (/ (sinh y) x))

simplify484.0ms

Counts

83 → 83

Iterations

Useful iterations: done (482.0ms)

Iter	Nodes	Cost
0	146	770
1	348	727
2	1280	656
done	5000	632

prune178.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.2b	(* (sinh y) (/ 1 x))
0.4b	(* (sin x) (* (sinh y) (/ 1 x)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 78

Calls

3 calls:

0.0ms	(sinh y)
8.0ms	(* (sinh y) (/ 1 x))
13.0ms	(* (sin x) (* (sinh y) (/ 1 x)))

series230.0ms

Counts

3 → 9

Calls

3 calls:

63.0ms	(sinh y)
74.0ms	(* (sinh y) (/ 1 x))
93.0ms	(* (sin x) (* (sinh y) (/ 1 x)))

simplify718.0ms

Counts

87 → 87

Iterations

Useful iterations: done (716.0ms)

Iter	Nodes	Cost
0	165	894
1	426	731
2	1546	592
done	5000	558

prune174.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (/ (* 2 (sinh y)) (/ x (sin x))) 2)
0.0b	(sinh y)
0.1b	(/ (* 2 (sinh y)) (/ x (sin x)))
0.1b	(/ x (sin x))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

182×	`times-frac`
77×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
36×	`add-exp-log` `add-cbrt-cube`
22×	`associate-/l*`
19×	`associate-/r*`
18×	`cbrt-undiv` `div-exp`
13×	`div-inv`
5×	`associate-/r/`
4×	`pow1` `expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `clear-num`
2×	`sinh-def` `associate-/l/`
1×	`associate-*r/`

Counts

4 → 186

Calls

4 calls:

11.0ms	(/ (/ (* 2 (sinh y)) (/ x (sin x))) 2)
0.0ms	(sinh y)
10.0ms	(/ (* 2 (sinh y)) (/ x (sin x)))
2.0ms	(/ x (sin x))

series268.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(/ (/ (* 2 (sinh y)) (/ x (sin x))) 2)
64.0ms	(sinh y)
89.0ms	(/ (* 2 (sinh y)) (/ x (sin x)))
29.0ms	(/ x (sin x))

simplify1.5s

Counts

198 → 198

Iterations

Useful iterations: 2 (357.0ms)

Iter	Nodes	Cost
0	336	2989
1	903	2796
2	4659	2472
done	5000	2472

prune498.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes110.0ms

Accuracy

0% (0.1b 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	9	11
1	10	11
done	10	11

end0.0ms

sample1.8s

Algorithm

intervals

Results

534.0ms	1899×	body	1280	valid
417.0ms	10307×	body	80	valid
363.0ms	2028×	body	640	valid
142.0ms	1168×	body	320	valid
57.0ms	577×	body	160	valid