Details

sample450.0ms

Algorithm

intervals

Results

396.0ms	178×	body	80	valid
18.0ms	37×	body	1280	valid
11.0ms	34×	body	640	valid
5.0ms	22×	body	320	valid
2.0ms	9×	body	160	valid

simplify66.0ms

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

localize13.0ms

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)

rewrite79.0ms

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:

31.0ms	(* x (/ (sin y) y))
18.0ms	(/ (sin y) y)
24.0ms	(/ (* x (/ (sin y) y)) z)

series213.0ms

Counts

3 → 9

Calls

3 calls:

71.0ms	(* x (/ (sin y) y))
34.0ms	(/ (sin y) y)
108.0ms	(/ (* 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

prune285.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

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))

rewrite104.0ms

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:

17.0ms	(/ (sin y) y)
32.0ms	(/ (/ (sin y) y) z)
40.0ms	(* x (/ (/ (sin y) y) z))

series173.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(/ (sin y) y)
54.0ms	(/ (/ (sin y) y) z)
85.0ms	(* x (/ (/ (sin y) y) z))

simplify1.5s

Counts

177 → 177

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	254	2125
1	662	2009
2	3224	1903
done	5000	1900

prune729.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

localize55.0ms

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))))

rewrite75.0ms

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:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)
70.0ms	(* x (/ (* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y))) (* (cbrt z) (cbrt z))))

series1.1s

Counts

4 → 12

Calls

4 calls:

316.0ms	(cbrt z)
313.0ms	(cbrt z)
255.0ms	(cbrt z)
196.0ms	(* x (/ (* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y))) (* (cbrt z) (cbrt z))))

simplify1.2s

Counts

83 → 83

Iterations

Useful iterations: done (1.2s)

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

prune369.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0b

localize10.0ms

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)))

rewrite103.0ms

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×	`expm1-log1p-u` `associate-/r` `log1p-expm1-u` `div-inv` `associate-/l` `add-log-exp`
2×	`frac-times` `associate-l/` `un-div-inv` `-commutative`
1×	`frac-2neg` `clear-num`

Counts

3 → 122

Calls

3 calls:

9.0ms	(/ (sin y) y)
44.0ms	(* (/ (sin y) y) (/ 1 z))
45.0ms	(* x (* (/ (sin y) y) (/ 1 z)))

series199.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(/ (sin y) y)
47.0ms	(* (/ (sin y) y) (/ 1 z))
105.0ms	(* x (* (/ (sin y) y) (/ 1 z)))

simplify2.7s

Counts

131 → 131

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	199	1523
1	568	1411
2	3391	1080
done	5002	1077

prune405.0ms

Pruning

10 alts after pruning (6 fresh and 4 done)

Merged error: 0b

regimes388.0ms

Accuracy

0% (1.5b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

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

end0.0ms

sample2.4s

Algorithm

intervals

Results

980.0ms	1011×	body	1280	valid
565.0ms	5848×	body	80	valid
308.0ms	1029×	body	640	valid
119.0ms	537×	body	320	valid
44.0ms	291×	body	160	valid