Details

sample55.0ms

Algorithm

intervals

Results

13.0ms	34×	body	1280	valid
11.0ms	175×	body	80	valid
8.0ms	34×	body	640	valid
4.0ms	18×	body	320	valid
2.0ms	13×	body	160	valid

simplify87.0ms

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: 2.6b

localize9.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.1b	(/ (sin y) y)
2.6b	(/ (* x (/ (sin y) y)) z)

rewrite56.0ms

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×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`frac-2neg` `associate-*r/` `clear-num` `unswap-sqr`
1×	`pow-prod-down` `*-commutative` `associate-/l/`

Counts

3 → 89

Calls

3 calls:

27.0ms	(* x (/ (sin y) y))
9.0ms	(/ (sin y) y)
15.0ms	(/ (* x (/ (sin y) y)) z)

series207.0ms

Counts

3 → 9

Calls

3 calls:

60.0ms	(* x (/ (sin y) y))
33.0ms	(/ (sin y) y)
114.0ms	(/ (* x (/ (sin y) y)) z)

simplify4.1s

Counts

98 → 98

Iterations

Useful iterations: 3 (2.4s)

Iter	Nodes	Cost
0	145	935
1	323	898
2	1027	782
3	4743	779
done	5002	779

prune314.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (/ (sin y) y) z)
0.1b	(/ (sin y) y)
2.4b	(* x (/ (/ (sin y) y) z))

rewrite129.0ms

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×	`expm1-log1p-u` `associate-l` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`frac-2neg` `clear-num`
1×	`associate-r/` `pow-prod-down` `-commutative` `associate-/l/`

Counts

3 → 168

Calls

3 calls:

30.0ms	(/ (/ (sin y) y) z)
17.0ms	(/ (sin y) y)
67.0ms	(* x (/ (/ (sin y) y) z))

series201.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(/ (/ (sin y) y) z)
46.0ms	(/ (sin y) y)
109.0ms	(* x (/ (/ (sin y) y) z))

simplify1.4s

Counts

177 → 177

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	254	2125
1	590	2001
2	1622	1871
done	5001	1868

prune715.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.1b	(* z (/ y (sin y)))
0.2b	(/ y (sin y))
2.4b	(/ x (* z (/ y (sin y))))

rewrite51.0ms

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-/l*`
5×	`pow1`
4×	`prod-exp` `associate-/r*` `cbrt-unprod`
3×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`frac-2neg` `associate-*r/` `clear-num` `unswap-sqr`
1×	`pow-prod-down` `associate-/r/` `*-commutative`

Counts

3 → 89

Calls

3 calls:

17.0ms	(* z (/ y (sin y)))
6.0ms	(/ y (sin y))
25.0ms	(/ x (* z (/ y (sin y))))

series250.0ms

Counts

3 → 9

Calls

3 calls:

99.0ms	(* z (/ y (sin y)))
26.0ms	(/ y (sin y))
125.0ms	(/ x (* z (/ y (sin y))))

simplify3.1s

Counts

98 → 98

Iterations

Useful iterations: 3 (1.4s)

Iter	Nodes	Cost
0	145	935
1	315	901
2	969	784
3	4376	781
done	5001	781

prune298.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (/ (sin y) y))
0.3b	(cbrt (/ (sin y) y))
0.3b	(cbrt (/ (sin y) y))
2.6b	(/ (* x (* (* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y))) (cbrt (/ (sin y) y)))) z)

rewrite217.0ms

Algorithm

rewrite-expression-head

Rules

39×	`cbrt-prod`
30×	`times-frac`
27×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`add-exp-log`
15×	`cbrt-div`
14×	`add-cbrt-cube`
10×	`associate-*r/`
7×	`associate-/l/`
6×	`prod-exp` `cbrt-unprod`
5×	`frac-times` `associate-*l/`
4×	`pow1` `cbrt-undiv` `expm1-log1p-u` `div-exp` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`pow1/3` `associate-/r*`
1×	`frac-2neg` `clear-num` `associate-/l*`

Counts

4 → 106

Calls

4 calls:

5.0ms	(cbrt (/ (sin y) y))
5.0ms	(cbrt (/ (sin y) y))
5.0ms	(cbrt (/ (sin y) y))
193.0ms	(/ (* x (* (* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y))) (cbrt (/ (sin y) y)))) z)

series719.0ms

Counts

4 → 12

Calls

4 calls:

197.0ms	(cbrt (/ (sin y) y))
200.0ms	(cbrt (/ (sin y) y))
191.0ms	(cbrt (/ (sin y) y))
130.0ms	(/ (* x (* (* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y))) (cbrt (/ (sin y) y)))) z)

simplify1.8s

Counts

118 → 118

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	160	1721
1	351	1672
2	1192	1226
done	5001	1112

prune576.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes183.0ms

Accuracy

41% (1.6b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 2.7b

bsearch52.0ms

Steps

Iters	Range		Point
8	3.9791870176113944e+133	8.914373054500551e+136	2.8434050879670077e+134

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	15	22
1	19	20
done	19	20

end0.0ms

sample2.6s

Algorithm

intervals

Results

955.0ms	5920×	body	80	valid
608.0ms	967×	body	1280	valid
374.0ms	978×	body	640	valid
138.0ms	592×	body	320	valid
80.0ms	297×	body	160	valid