Details

sample86.0ms

Algorithm

intervals

Results

38.0ms	818×	body	80	nan
13.0ms	256×	body	80	valid

simplify3.4s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	19
1	38	19
2	119	19
3	465	19
4	2002	19
done	5000	19

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.2b

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 3.0 (/ x (* y 27.0)))
1.0b	(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
2.3b	(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
5.9b	(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

92×	`add-exp-log` `add-cbrt-cube`
39×	`prod-exp` `cbrt-unprod`
29×	`add-sqr-sqrt`
27×	`cbrt-undiv` `div-exp`
21×	`associate-l`
18×	`add-cube-cbrt` `*-un-lft-identity`
16×	`associate-r`
15×	`times-frac`
10×	`pow1`
5×	`unswap-sqr`
4×	`expm1-log1p-u` `sqrt-prod` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`pow-prod-down` `*-commutative`
2×	`associate-r/` `associate-l/`
1×	`frac-2neg` `clear-num` `associate-/r` `associate-/l/` `associate-/l`

Counts

4 → 138

Calls

4 calls:

9.0ms	(* 3.0 (/ x (* y 27.0)))
7.0ms	(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
33.0ms	(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
8.0ms	(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series166.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* 3.0 (/ x (* y 27.0)))
20.0ms	(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
98.0ms	(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
29.0ms	(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify1.4s

Counts

150 → 150

Iterations

Useful iterations: 2 (380.0ms)

Iter	Nodes	Cost
0	260	2872
1	750	2751
2	3485	2131
done	5000	2131

prune356.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

1.0b	(* (/ (cbrt 1.0) (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
1.0b	(/ (cbrt 1.0) (cbrt 3.0))
2.3b	(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
5.9b	(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

85×	`add-exp-log`
82×	`cbrt-prod`
81×	`add-cbrt-cube`
79×	`add-sqr-sqrt`
78×	`times-frac`
61×	`add-cube-cbrt` `*-un-lft-identity`
45×	`associate-l`
35×	`prod-exp` `cbrt-unprod`
26×	`cbrt-undiv` `div-exp`
9×	`associate-r`
8×	`pow1`
7×	`associate-/r` `associate-/l` `unswap-sqr`
4×	`expm1-log1p-u` `sqrt-prod` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`frac-2neg` `pow-prod-down` `associate-l/` `clear-num` `-commutative`
1×	`associate-*r/` `associate-/l/`

Counts

4 → 201

Calls

4 calls:

17.0ms	(* (/ (cbrt 1.0) (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
4.0ms	(/ (cbrt 1.0) (cbrt 3.0))
30.0ms	(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
9.0ms	(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series248.0ms

Counts

4 → 10

Calls

4 calls:

118.0ms	(* (/ (cbrt 1.0) (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
0.0ms	(/ (cbrt 1.0) (cbrt 3.0))
98.0ms	(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
33.0ms	(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify1.3s

Counts

211 → 211

Iterations

Useful iterations: 2 (444.0ms)

Iter	Nodes	Cost
0	307	4109
1	810	3968
2	3568	3384
done	5001	3384

prune1.0s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 3.0) (cbrt 3.0))) (/ (* (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))) (cbrt 1.0)) (cbrt 3.0)))
0.1b	(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
2.2b	(* (sqrt t) (/ x (* z y)))
7.2b	(/ x (* z y))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

101×	`add-exp-log`
62×	`add-cbrt-cube`
45×	`prod-exp` `cbrt-unprod`
28×	`cbrt-undiv` `div-exp`
22×	`add-sqr-sqrt`
18×	`associate-r`
15×	`add-cube-cbrt` `*-un-lft-identity`
14×	`times-frac` `associate-l`
13×	`pow1`
5×	`pow-prod-down`
4×	`expm1-log1p-u` `associate-*r/` `sqrt-prod` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
3×	`cbrt-prod` `-commutative` `associate-/l`
1×	`frac-times` `frac-2neg` `associate-l/` `clear-num` `associate-/r`

Counts

4 → 142

Calls

4 calls:

37.0ms	(* (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 3.0) (cbrt 3.0))) (/ (* (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))) (cbrt 1.0)) (cbrt 3.0)))
19.0ms	(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
11.0ms	(* (sqrt t) (/ x (* z y)))
3.0ms	(/ x (* z y))

series346.0ms

Counts

4 → 12

Calls

4 calls:

172.0ms	(* (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 3.0) (cbrt 3.0))) (/ (* (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))) (cbrt 1.0)) (cbrt 3.0)))
77.0ms	(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
76.0ms	(* (sqrt t) (/ x (* z y)))
22.0ms	(/ x (* z y))

simplify1.1s

Counts

154 → 154

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	276	3728
1	837	3600
2	3719	2482
done	5001	2478

prune517.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes453.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	29
1	26	29
done	26	29

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.1s	24091×	body	80	nan
406.0ms	8000×	body	80	valid