Details

sample80.0ms

Algorithm

intervals

Results

23.0ms	34×	body	640	valid
16.0ms	37×	body	1280	valid
13.0ms	178×	body	80	valid
5.0ms	22×	body	320	valid
1.0ms	9×	body	160	valid

simplify60.0ms

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.4b

localize12.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.1b	(/ (sin y) y)
3.3b	(/ (* x (/ (sin y) y)) z)

rewrite70.0ms

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:

22.0ms	(* x (/ (sin y) y))
14.0ms	(/ (sin y) y)
30.0ms	(/ (* x (/ (sin y) y)) z)

series198.0ms

Counts

3 → 9

Calls

3 calls:

75.0ms	(* x (/ (sin y) y))
28.0ms	(/ (sin y) y)
95.0ms	(/ (* x (/ (sin y) y)) z)

simplify797.0ms

Counts

92 → 92

Iterations

Useful iterations: 2 (221.0ms)

Iter	Nodes	Cost
0	139	893
1	346	861
2	1728	759
done	5001	759

prune314.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 3 expressions with local error:

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

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

153×	`times-frac`
98×	`add-sqr-sqrt`
89×	`add-cube-cbrt` `*-un-lft-identity`
43×	`associate-r`
19×	`add-exp-log` `add-cbrt-cube`
16×	`associate-/l*`
10×	`div-inv`
7×	`cbrt-undiv` `div-exp`
6×	`associate-/r*`
5×	`pow1`
3×	`associate-l` `prod-exp` `cbrt-unprod` `add-log-exp` `unswap-sqr`
2×	`frac-2neg` `clear-num`
1×	`associate-r/` `pow-prod-down` `-commutative` `associate-/l/`

Counts

3 → 162

Calls

3 calls:

15.0ms	(/ (sin y) y)
26.0ms	(/ (/ (sin y) y) z)
52.0ms	(* x (/ (/ (sin y) y) z))

series218.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(/ (sin y) y)
61.0ms	(/ (/ (sin y) y) z)
116.0ms	(* x (/ (/ (sin y) y) z))

simplify1.6s

Counts

171 → 171

Iterations

Useful iterations: 2 (666.0ms)

Iter	Nodes	Cost
0	248	2083
1	666	1969
2	3317	1863
done	5001	1863

prune679.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt z)
0.5b	(cbrt z)
0.5b	(cbrt z)
1.3b	(* x (/ (* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y))) (* (cbrt z) (cbrt z))))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log`
14×	`add-cbrt-cube`
12×	`add-sqr-sqrt`
9×	`cbrt-prod` `add-cube-cbrt` `*-un-lft-identity` `prod-exp` `cbrt-unprod`
6×	`pow1`
5×	`associate-r`
4×	`cbrt-undiv` `div-exp` `add-log-exp`
3×	`pow1/3` `associate-l`
2×	`times-frac` `unswap-sqr`
1×	`associate-r/` `pow-prod-down` `-commutative` `div-inv`

Counts

4 → 63

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)
68.0ms	(* x (/ (* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y))) (* (cbrt z) (cbrt z))))

series1.0s

Counts

4 → 12

Calls

4 calls:

266.0ms	(cbrt z)
299.0ms	(cbrt z)
291.0ms	(cbrt z)
151.0ms	(* x (/ (* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y))) (* (cbrt z) (cbrt z))))

simplify1.2s

Counts

75 → 75

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	117	1020
1	342	968
2	1719	745
done	5002	693

prune325.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (sin y) y)
0.2b	(* (/ (sin y) y) (/ 1 z))
2.2b	(* x (* (/ (sin y) y) (/ 1 z)))

rewrite126.0ms

Algorithm

rewrite-expression-head

Rules

59×	`add-exp-log`
43×	`add-sqr-sqrt`
35×	`add-cbrt-cube`
34×	`times-frac`
28×	`*-un-lft-identity`
26×	`add-cube-cbrt`
25×	`prod-exp`
17×	`div-exp`
16×	`associate-l`
14×	`associate-r`
13×	`cbrt-unprod`
10×	`pow1`
9×	`cbrt-undiv`
6×	`associate-*r/` `unswap-sqr`
4×	`rec-exp` `1-exp` `pow-prod-down`
3×	`associate-/r` `div-inv` `associate-/l` `add-log-exp`
2×	`frac-times` `associate-l/` `un-div-inv` `-commutative`
1×	`frac-2neg` `clear-num`

Counts

3 → 116

Calls

3 calls:

9.0ms	(/ (sin y) y)
50.0ms	(* (/ (sin y) y) (/ 1 z))
61.0ms	(* x (* (/ (sin y) y) (/ 1 z)))

series199.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(/ (sin y) y)
51.0ms	(* (/ (sin y) y) (/ 1 z))
98.0ms	(* x (* (/ (sin y) y) (/ 1 z)))

simplify3.0s

Counts

125 → 125

Iterations

Useful iterations: done (3.0s)

Iter	Nodes	Cost
0	193	1473
1	560	1363
2	3498	1050
done	5000	1030

prune406.0ms

Pruning

10 alts after pruning (6 fresh and 4 done)

Merged error: 0b

regimes407.0ms

Accuracy

0% (1.5b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 1.5b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	28
1	15	28
done	15	28

end0.0ms

sample2.6s

Algorithm

intervals

Results

994.0ms	5848×	body	80	valid
494.0ms	1011×	body	1280	valid
451.0ms	1029×	body	640	valid
156.0ms	537×	body	320	valid
44.0ms	291×	body	160	valid