Details

sample63.0ms

Algorithm

intervals

Results

18.0ms	37×	body	1280	valid
12.0ms	175×	body	80	valid
11.0ms	35×	body	640	valid
4.0ms	23×	body	320	valid
2.0ms	9×	body	160	valid

simplify99.0ms

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.8b

localize19.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.1b	(/ (sin y) y)
3.7b	(/ (* x (/ (sin y) y)) z)

rewrite86.0ms

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:

36.0ms	(* x (/ (sin y) y))
19.0ms	(/ (sin y) y)
26.0ms	(/ (* x (/ (sin y) y)) z)

series254.0ms

Counts

3 → 9

Calls

3 calls:

88.0ms	(* x (/ (sin y) y))
50.0ms	(/ (sin y) y)
115.0ms	(/ (* x (/ (sin y) y)) z)

simplify1.1s

Counts

98 → 98

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	145	935
1	352	902
2	1725	800
done	5001	797

prune354.0ms

Pruning

10 alts after pruning (10 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)
3.1b	(* x (/ (/ (sin y) y) z))

rewrite116.0ms

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:

28.0ms	(/ (/ (sin y) y) z)
16.0ms	(/ (sin y) y)
63.0ms	(* x (/ (/ (sin y) y) z))

series197.0ms

Counts

3 → 9

Calls

3 calls:

60.0ms	(/ (/ (sin y) y) z)
36.0ms	(/ (sin y) y)
101.0ms	(* x (/ (/ (sin y) y) z))

simplify1.6s

Counts

177 → 177

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	254	2125
1	662	2009
2	3211	1903
done	5002	1900

prune666.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)
1.0b	(* x (/ (* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y))) (* (cbrt z) (cbrt z))))

rewrite86.0ms

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` `expm1-log1p-u` `div-exp` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `associate-l`
2×	`times-frac` `unswap-sqr`
1×	`associate-r/` `pow-prod-down` `-commutative` `div-inv`

Counts

4 → 71

Calls

4 calls:

2.0ms	(cbrt z)
2.0ms	(cbrt z)
2.0ms	(cbrt z)
78.0ms	(* x (/ (* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y))) (* (cbrt z) (cbrt z))))

series1.0s

Counts

4 → 12

Calls

4 calls:

281.0ms	(cbrt z)
283.0ms	(cbrt z)
270.0ms	(cbrt z)
192.0ms	(* x (/ (* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y))) (* (cbrt z) (cbrt z))))

simplify1.1s

Counts

83 → 83

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	121	1078
1	353	1026
2	1762	799
done	5001	735

prune371.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (/ 1 (/ y (sin y))) z)
0.1b	(/ y (sin y))
0.1b	(/ 1 (/ y (sin y)))
3.1b	(* x (/ (/ 1 (/ y (sin y))) z))

rewrite241.0ms

Algorithm

rewrite-expression-head

Rules

821×	`times-frac`
411×	`add-sqr-sqrt`
392×	`*-un-lft-identity`
390×	`add-cube-cbrt`
136×	`associate-r`
64×	`add-exp-log`
50×	`associate-/l*`
36×	`div-exp` `div-inv`
34×	`add-cbrt-cube`
19×	`associate-/r*`
16×	`cbrt-undiv`
8×	`prod-exp` `associate-/r/`
7×	`pow1`
6×	`rec-exp` `1-exp` `unswap-sqr`
4×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `associate-l` `clear-num`
1×	`pow-flip` `associate-r/` `pow-prod-down` `-commutative` `associate-/l/` `inv-pow`

Counts

4 → 478

Calls

4 calls:

41.0ms	(/ (/ 1 (/ y (sin y))) z)
6.0ms	(/ y (sin y))
11.0ms	(/ 1 (/ y (sin y)))
110.0ms	(* x (/ (/ 1 (/ y (sin y))) z))

series209.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(/ (/ 1 (/ y (sin y))) z)
42.0ms	(/ y (sin y))
28.0ms	(/ 1 (/ y (sin y)))
88.0ms	(* x (/ (/ 1 (/ y (sin y))) z))

simplify1.3s

Counts

490 → 490

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	653	7819
1	1874	6490
done	5000	6204

prune1.6s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

regimes302.0ms

Accuracy

83.7% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 2.8b

bsearch121.0ms

Steps

Iters	Range		Point
5	4.640743178693323e+68	1.0855328144944693e+69	5.039220706859192e+68
10	-5.0828556429638336e+103	-1.533693943151544e+92	-1.5580377679133428e+92

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	18	36
1	24	27
done	24	27

end0.0ms

sample2.4s

Algorithm

intervals

Results

700.0ms	995×	body	640	valid
552.0ms	5848×	body	80	valid
525.0ms	1022×	body	1280	valid
122.0ms	551×	body	320	valid
44.0ms	308×	body	160	valid