Details

sample129.0ms

Algorithm

intervals

Results

36.0ms	56×	body	1280	valid
30.0ms	337×	body	80	valid
21.0ms	54×	body	640	valid
9.0ms	31×	body	320	valid
3.0ms	16×	body	160	valid

simplify2.2s

Counts

1 → 1

Iterations

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

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.0b	(/ x (sinh y))
0.8b	(/ (sin x) (/ x (sinh y)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

87×	`times-frac`
54×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
17×	`associate-/r*`
10×	`add-cbrt-cube` `add-exp-log`
6×	`sinh-def` `associate-/r/` `div-inv` `associate-/l*`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `add-log-exp`
2×	`clear-num` `frac-2neg`

Counts

3 → 110

Calls

3 calls:

1.0ms	(sinh y)
4.0ms	(/ x (sinh y))
13.0ms	(/ (sin x) (/ x (sinh y)))

series423.0ms

Counts

3 → 9

Calls

3 calls:

84.0ms	(sinh y)
181.0ms	(/ x (sinh y))
157.0ms	(/ (sin x) (/ x (sinh y)))

simplify997.0ms

Counts

119 → 119

Iterations

Iter	Nodes
done	5000
2	2660
1	533
0	215

prune619.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize19.0ms

Local error

Found 3 expressions with local error:

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

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 69

Calls

3 calls:

2.0ms	(sinh y)
29.0ms	(* (/ (sin x) x) (sinh y))
13.0ms	(/ (sin x) x)

series322.0ms

Counts

3 → 9

Calls

3 calls:

116.0ms	(sinh y)
154.0ms	(* (/ (sin x) x) (sinh y))
51.0ms	(/ (sin x) x)

simplify973.0ms

Counts

78 → 78

Iterations

Iter	Nodes
done	5001
2	1481
1	327
0	134

prune434.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(sinh y)
0.0b	(/ 1 (sinh y))
0.1b	(/ (sin x) x)
0.2b	(/ (/ (sin x) x) (/ 1 (sinh y)))

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

461×	`times-frac`
223×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
32×	`add-exp-log` `div-inv`
20×	`associate-/r*` `add-cbrt-cube`
19×	`div-exp` `associate-/l*`
16×	`sinh-def` `associate-/r/`
10×	`cbrt-undiv`
5×	`pow1`
4×	`add-log-exp`
3×	`rec-exp` `clear-num` `frac-2neg` `1-exp`
1×	`pow-flip` `inv-pow` `associate-/l/`

Counts

4 → 300

Calls

4 calls:

2.0ms	(sinh y)
10.0ms	(/ 1 (sinh y))
13.0ms	(/ (sin x) x)
37.0ms	(/ (/ (sin x) x) (/ 1 (sinh y)))

series325.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(sinh y)
85.0ms	(/ 1 (sinh y))
32.0ms	(/ (sin x) x)
124.0ms	(/ (/ (sin x) x) (/ 1 (sinh y)))

simplify855.0ms

Counts

312 → 312

Iterations

Iter	Nodes
done	5001
1	1633
0	499

prune982.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (pow y 3) 1/6) (* (pow y 5) 1/120))
0.1b	(* (pow y 5) 1/120)
0.2b	(* (pow y 3) 1/6)
0.8b	(/ (sin x) (/ x (+ y (+ (* (pow y 3) 1/6) (* (pow y 5) 1/120)))))

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

102×	`times-frac`
86×	`*-un-lft-identity`
74×	`add-sqr-sqrt`
62×	`add-cube-cbrt`
19×	`associate-l` `add-exp-log`
18×	`associate-/r*`
13×	`add-cbrt-cube`
12×	`distribute-lft-out`
9×	`associate-/r/`
8×	`unpow-prod-down`
7×	`unswap-sqr`
6×	`associate-r` `prod-exp` `add-log-exp`
5×	`flip3-+` `flip-+` `div-inv`
4×	`pow1` `cube-prod` `sqr-pow`
3×	`cbrt-undiv` `div-exp` `associate-/l*`
2×	`pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod`
1×	`cube-mult` `+-commutative` `clear-num` `sum-log` `frac-2neg` `unpow3`

Counts

4 → 157

Calls

4 calls:

13.0ms	(+ (* (pow y 3) 1/6) (* (pow y 5) 1/120))
18.0ms	(* (pow y 5) 1/120)
20.0ms	(* (pow y 3) 1/6)
41.0ms	(/ (sin x) (/ x (+ y (+ (* (pow y 3) 1/6) (* (pow y 5) 1/120)))))

series631.0ms

Counts

4 → 12

Calls

4 calls:

213.0ms	(+ (* (pow y 3) 1/6) (* (pow y 5) 1/120))
74.0ms	(* (pow y 5) 1/120)
68.0ms	(* (pow y 3) 1/6)
275.0ms	(/ (sin x) (/ x (+ y (+ (* (pow y 3) 1/6) (* (pow y 5) 1/120)))))

simplify1.9s

Counts

169 → 169

Iterations

Iter	Nodes
done	5002
2	4255
1	770
0	296

prune1.1s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes161.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	7
1	7
0	6

end0.0ms

sample5.0s

Algorithm

intervals

Results

1.6s	10352×	body	80	valid
1.0s	1791×	body	1280	valid
830.0ms	1939×	body	640	valid
806.0ms	1104×	body	320	valid
107.0ms	591×	body	160	valid