Details

sample18.0ms

Algorithm

intervals

Results

8.0ms

269×

body

valid

simplify1.3s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	11
1	19	11
2	40	11
3	79	11
4	143	11
5	246	11
6	343	11
7	482	11
8	718	11
9	905	11
10	926	11
11	927	11
done	927	11

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 1.0 (/ x (* (- y z) (- y t))))
0.0b	(* (- y z) (- y t))
7.8b	(/ x (* (- y z) (- y t)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`flip3--` `*-un-lft-identity` `flip--`
10×	`add-exp-log` `add-cbrt-cube`
8×	`frac-times` `associate-/r/`
7×	`add-cube-cbrt`
5×	`pow1` `associate-r` `associate-l` `add-log-exp`
4×	`associate-r/` `associate-l/`
3×	`sub-neg` `times-frac` `associate-/l*` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `div-exp` `prod-exp` `cbrt-unprod`
1×	`frac-2neg` `diff-log` `pow-prod-down` `clear-num` `associate-/r` `-commutative` `div-inv` `unswap-sqr`

Counts

3 → 77

Calls

3 calls:

14.0ms	(- 1.0 (/ x (* (- y z) (- y t))))
17.0ms	(* (- y z) (- y t))
7.0ms	(/ x (* (- y z) (- y t)))

series170.0ms

Counts

3 → 9

Calls

3 calls:

75.0ms	(- 1.0 (/ x (* (- y z) (- y t))))
34.0ms	(* (- y z) (- y t))
61.0ms	(/ x (* (- y z) (- y t)))

simplify507.0ms

Counts

86 → 86

Iterations

Useful iterations: 2 (120.0ms)

Iter	Nodes	Cost
0	151	1149
1	362	1098
2	1378	1010
done	5002	1010

prune228.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt x)
0.5b	(cbrt x)
0.5b	(cbrt x)
1.4b	(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- y t)))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

56×	`add-sqr-sqrt`
42×	`times-frac`
40×	`*-un-lft-identity`
36×	`associate-r`
26×	`cbrt-prod` `add-cube-cbrt`
25×	`add-exp-log`
18×	`add-cbrt-cube`
11×	`associate-l`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp` `distribute-lft-out--` `difference-of-squares`
6×	`pow1` `unswap-sqr`
4×	`associate-/r/` `add-log-exp`
3×	`pow1/3`
2×	`flip3--` `flip--` `div-inv`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

4 → 110

Calls

4 calls:

0.0ms	(cbrt x)
0.0ms	(cbrt x)
1.0ms	(cbrt x)
45.0ms	(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- y t)))

series663.0ms

Counts

4 → 12

Calls

4 calls:

189.0ms	(cbrt x)
196.0ms	(cbrt x)
187.0ms	(cbrt x)
91.0ms	(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- y t)))

simplify1.0s

Counts

122 → 122

Iterations

Useful iterations: 2 (307.0ms)

Iter	Nodes	Cost
0	180	1821
1	536	1741
2	2113	1345
done	5000	1345

prune379.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (cbrt x))
0.6b	(cbrt (cbrt x))
0.6b	(cbrt (cbrt x))
1.4b	(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x))) (- y t)))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

58×	`add-exp-log`
38×	`add-cbrt-cube`
27×	`cbrt-prod`
25×	`prod-exp` `cbrt-unprod`
22×	`add-sqr-sqrt`
18×	`*-un-lft-identity`
17×	`cbrt-undiv` `div-exp`
14×	`add-cube-cbrt`
11×	`times-frac` `associate-r` `associate-l`
6×	`pow1`
4×	`associate-/r/` `add-log-exp`
3×	`pow1/3`
2×	`flip3--` `flip--` `div-inv` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

4 → 102

Calls

4 calls:

1.0ms	(cbrt (cbrt x))
1.0ms	(cbrt (cbrt x))
1.0ms	(cbrt (cbrt x))
75.0ms	(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x))) (- y t)))

series849.0ms

Counts

4 → 12

Calls

4 calls:

255.0ms	(cbrt (cbrt x))
257.0ms	(cbrt (cbrt x))
246.0ms	(cbrt (cbrt x))
90.0ms	(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x))) (- y t)))

simplify702.0ms

Counts

114 → 114

Iterations

Useful iterations: 2 (211.0ms)

Iter	Nodes	Cost
0	175	2421
1	529	2356
2	2232	1534
done	5001	1534

prune389.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1.0 (* (/ 1 (- y z)) (/ x (- y t))))
0.0b	(/ 1 (- y z))
0.0b	(/ x (- y t))
2.2b	(* (/ 1 (- y z)) (/ x (- y t)))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

87×	`add-sqr-sqrt`
72×	`*-un-lft-identity`
67×	`times-frac`
42×	`add-cube-cbrt`
32×	`add-exp-log`
21×	`associate-r` `associate-l`
20×	`add-cbrt-cube`
14×	`distribute-lft-out--` `difference-of-squares`
11×	`div-exp`
10×	`associate-/r*`
8×	`prod-exp` `associate-/r/`
7×	`pow1`
6×	`cbrt-undiv` `associate-/l*` `add-log-exp` `unswap-sqr`
5×	`flip3--` `flip--`
4×	`cbrt-unprod` `div-inv`
3×	`rec-exp` `1-exp`
2×	`frac-2neg` `clear-num`
1×	`frac-times` `sub-neg` `pow-flip` `diff-log` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `inv-pow`

Counts

4 → 162

Calls

4 calls:

2.0ms	(- 1.0 (* (/ 1 (- y z)) (/ x (- y t))))
6.0ms	(/ 1 (- y z))
5.0ms	(/ x (- y t))
37.0ms	(* (/ 1 (- y z)) (/ x (- y t)))

series286.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(- 1.0 (* (/ 1 (- y z)) (/ x (- y t))))
36.0ms	(/ 1 (- y z))
31.0ms	(/ x (- y t))
146.0ms	(* (/ 1 (- y z)) (/ x (- y t)))

simplify951.0ms

Counts

174 → 174

Iterations

Useful iterations: 2 (383.0ms)

Iter	Nodes	Cost
0	223	2176
1	581	1869
2	1556	1689
done	5000	1689

prune350.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes154.0ms

Accuracy

0% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	11	11
done	11	11

end0.0ms

sample460.0ms

Algorithm

intervals

Results

246.0ms

8445×

body

valid