Details

sample35.0ms

Algorithm

intervals

Results

8.0ms	31×	body	1280	valid
8.0ms	195×	body	80	valid
6.0ms	33×	body	640	valid
2.0ms	16×	body	320	valid
1.0ms	8×	body	160	valid

simplify44.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	12	8
2	24	8
3	48	8
4	71	8
5	79	8
done	79	8

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.3b

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.1b	(/ (sin y) y)
2.3b	(/ (* x (/ (sin y) y)) z)

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 83

Calls

3 calls:

15.0ms	(* x (/ (sin y) y))
8.0ms	(/ (sin y) y)
13.0ms	(/ (* x (/ (sin y) y)) z)

series161.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(* x (/ (sin y) y))
26.0ms	(/ (sin y) y)
75.0ms	(/ (* x (/ (sin y) y)) z)

simplify2.4s

Counts

92 → 92

Iterations

Useful iterations: 2 (141.0ms)

Iter	Nodes	Cost
0	139	893
1	316	857
2	1016	741
3	4714	741
done	5000	741

prune200.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (* (sin y) (/ 1 y)))
0.3b	(* (sin y) (/ 1 y))
2.3b	(/ (* x (* (sin y) (/ 1 y))) z)

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-exp-log`
31×	`add-cbrt-cube`
22×	`prod-exp`
21×	`add-sqr-sqrt`
15×	`*-un-lft-identity`
14×	`add-cube-cbrt` `times-frac` `associate-r`
12×	`div-exp` `cbrt-unprod`
10×	`pow1`
7×	`cbrt-undiv` `associate-*r/`
6×	`associate-l`
4×	`pow-prod-down`
3×	`rec-exp` `1-exp` `associate-/r*` `un-div-inv` `add-log-exp` `unswap-sqr`
2×	`*-commutative` `div-inv` `associate-/l/`
1×	`frac-2neg` `clear-num` `associate-/l*`

Counts

3 → 89

Calls

3 calls:

29.0ms	(* x (* (sin y) (/ 1 y)))
20.0ms	(* (sin y) (/ 1 y))
33.0ms	(/ (* x (* (sin y) (/ 1 y))) z)

series164.0ms

Counts

3 → 9

Calls

3 calls:

60.0ms	(* x (* (sin y) (/ 1 y)))
27.0ms	(* (sin y) (/ 1 y))
77.0ms	(/ (* x (* (sin y) (/ 1 y))) z)

simplify1.0s

Counts

98 → 98

Iterations

Useful iterations: 2 (188.0ms)

Iter	Nodes	Cost
0	158	1114
1	384	881
2	1335	693
done	5000	693

prune180.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(* (cbrt (sin y)) (cbrt (sin y)))
2.3b	(/ (* (* x (/ (* (cbrt (sin y)) (cbrt (sin y))) (* (cbrt y) (cbrt y)))) (/ (cbrt (sin y)) (cbrt y))) z)

rewrite157.0ms

Algorithm

rewrite-expression-head

Rules

76×	`add-exp-log`
46×	`add-cbrt-cube`
31×	`prod-exp` `cbrt-unprod`
27×	`cbrt-undiv` `div-exp`
24×	`add-sqr-sqrt`
22×	`cbrt-prod`
16×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
8×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l`
4×	`add-log-exp` `unswap-sqr`
3×	`times-frac` `associate-r/` `associate-/r` `associate-/l/`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `frac-2neg` `pow-plus` `associate-l/` `clear-num` `-commutative` `div-inv` `associate-/l*`

Counts

4 → 108

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
15.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
136.0ms	(/ (* (* x (/ (* (cbrt (sin y)) (cbrt (sin y))) (* (cbrt y) (cbrt y)))) (/ (cbrt (sin y)) (cbrt y))) z)

series617.0ms

Counts

4 → 12

Calls

4 calls:

190.0ms	(cbrt y)
192.0ms	(cbrt y)
129.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
105.0ms	(/ (* (* x (/ (* (cbrt (sin y)) (cbrt (sin y))) (* (cbrt y) (cbrt y)))) (/ (cbrt (sin y)) (cbrt y))) z)

simplify1.6s

Counts

120 → 120

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	216	2203
1	591	1924
2	2979	1202
done	5000	931

prune263.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (/ (sin y) y) x)
0.1b	(/ (sin y) y)
0.6b	(/ 1 (/ z (* (/ (sin y) y) x)))
2.2b	(/ z (* (/ (sin y) y) x))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

58×	`times-frac`
54×	`add-exp-log`
44×	`add-sqr-sqrt`
39×	`add-cube-cbrt` `*-un-lft-identity`
34×	`add-cbrt-cube`
26×	`div-exp`
14×	`cbrt-undiv`
13×	`associate-l`
12×	`associate-/r*`
10×	`prod-exp`
9×	`associate-/l*`
8×	`div-inv`
7×	`pow1`
6×	`associate-*l/` `associate-/r/` `cbrt-unprod`
4×	`rec-exp` `1-exp` `add-log-exp`
3×	`frac-2neg` `associate-r` `clear-num`
2×	`unswap-sqr`
1×	`pow-flip` `pow-prod-down` `*-commutative` `inv-pow`

Counts

4 → 147

Calls

4 calls:

19.0ms	(* (/ (sin y) y) x)
8.0ms	(/ (sin y) y)
22.0ms	(/ 1 (/ z (* (/ (sin y) y) x)))
12.0ms	(/ z (* (/ (sin y) y) x))

series236.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* (/ (sin y) y) x)
29.0ms	(/ (sin y) y)
91.0ms	(/ 1 (/ z (* (/ (sin y) y) x)))
75.0ms	(/ z (* (/ (sin y) y) x))

simplify1.1s

Counts

159 → 159

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	225	1908
1	505	1737
2	1534	1450
done	5000	1446

prune251.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes108.0ms

Accuracy

-1.1% (3.2b remaining)

Error of 3.2b against oracle of 0.0b and baseline of 3.1b

bsearch29.0ms

Steps

Iters	Range		Point
5	1.892967916940344e-223	4.051079206363103e-223	2.0384057601725198e-223

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	22
1	20	22
done	20	22

end0.0ms

sample1.1s

Algorithm

intervals

Results

292.0ms	1036×	body	1280	valid
230.0ms	5823×	body	80	valid
178.0ms	1012×	body	640	valid
73.0ms	594×	body	320	valid
27.0ms	308×	body	160	valid