Details

sample42.0ms

Algorithm

intervals

Results

11.0ms	42×	body	640	valid
10.0ms	35×	body	1280	valid
8.0ms	174×	body	80	valid
2.0ms	14×	body	320	valid
1.0ms	13×	body	160	valid

simplify28.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	8
1	12	8
2	23	8
3	48	8
4	67	8
5	76	8
done	76	8

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.4b

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.1b	(/ (sin y) y)
4.4b	(/ (* x (/ (sin y) y)) z)

rewrite18.0ms

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:

7.0ms	(* x (/ (sin y) y))
3.0ms	(/ (sin y) y)
5.0ms	(/ (* x (/ (sin y) y)) z)

series155.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(* x (/ (sin y) y))
28.0ms	(/ (sin y) y)
72.0ms	(/ (* x (/ (sin y) y)) z)

simplify497.0ms

Counts

98 → 98

Iterations

Useful iterations: 2 (122.0ms)

Iter	Nodes	Cost
0	145	935
1	332	898
2	1330	782
done	5000	782

prune228.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

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))

rewrite36.0ms

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:

7.0ms	(/ (/ (sin y) y) z)
3.0ms	(/ (sin y) y)
19.0ms	(* x (/ (/ (sin y) y) z))

series137.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(/ (/ (sin y) y) z)
26.0ms	(/ (sin y) y)
74.0ms	(* x (/ (/ (sin y) y) z))

simplify906.0ms

Counts

177 → 177

Iterations

Useful iterations: 2 (297.0ms)

Iter	Nodes	Cost
0	254	2125
1	615	2001
2	2323	1871
done	5000	1871

prune451.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt z) (cbrt z))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

6.0ms	(* (cbrt z) (cbrt z))
0.0ms	(cbrt z)
0.0ms	(cbrt z)
1.0ms	(cbrt z)

series771.0ms

Counts

4 → 12

Calls

4 calls:

210.0ms	(* (cbrt z) (cbrt z))
188.0ms	(cbrt z)
188.0ms	(cbrt z)
185.0ms	(cbrt z)

simplify1.4s

Counts

93 → 93

Iterations

Useful iterations: 3 (327.0ms)

Iter	Nodes	Cost
0	65	554
1	119	443
2	383	423
3	1868	405
done	5000	405

prune287.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (/ 1 (/ y (sin y))))
0.1b	(/ y (sin y))
0.2b	(/ 1 (/ y (sin y)))
4.4b	(/ (* x (/ 1 (/ y (sin y)))) z)

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

159×	`times-frac`
106×	`add-sqr-sqrt`
94×	`*-un-lft-identity`
92×	`add-cube-cbrt`
64×	`add-exp-log`
44×	`associate-r`
34×	`add-cbrt-cube`
30×	`div-exp`
19×	`associate-/r*`
14×	`cbrt-undiv` `prod-exp`
11×	`div-inv`
7×	`pow1` `associate-/l*`
6×	`rec-exp` `1-exp` `cbrt-unprod`
5×	`unswap-sqr`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `associate-l` `clear-num`
2×	`associate-*r/` `associate-/r/` `un-div-inv` `associate-/l/`
1×	`pow-flip` `pow-prod-down` `*-commutative` `inv-pow`

Counts

4 → 215

Calls

4 calls:

21.0ms	(* x (/ 1 (/ y (sin y))))
2.0ms	(/ y (sin y))
5.0ms	(/ 1 (/ y (sin y)))
10.0ms	(/ (* x (/ 1 (/ y (sin y)))) z)

series179.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(* x (/ 1 (/ y (sin y))))
28.0ms	(/ y (sin y))
26.0ms	(/ 1 (/ y (sin y)))
72.0ms	(/ (* x (/ 1 (/ y (sin y)))) z)

simplify879.0ms

Counts

227 → 227

Iterations

Useful iterations: 2 (308.0ms)

Iter	Nodes	Cost
0	294	2749
1	721	2189
2	2188	1854
done	5000	1854

prune403.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes156.0ms

Accuracy

35.2% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 1.4b

bsearch67.0ms

Steps

Iters	Range		Point
8	8.190465964655102e+120	2.5276388439093147e+123	8.274448623480797e+120
7	-7.766279574250494e+200	-6.218506703358778e+198	-6.609178883188517e+198

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	36
1	27	36
done	27	36

end0.0ms

sample1.1s

Algorithm

intervals

Results

314.0ms	1019×	body	1280	valid
264.0ms	5803×	body	80	valid
218.0ms	1053×	body	640	valid
80.0ms	537×	body	320	valid
29.0ms	288×	body	160	valid