Details

sample40.0ms

Algorithm

intervals

Results

20.0ms

263×

body

valid

simplify1.8s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	11
1	19	11
2	40	11
3	80	11
4	174	11
5	297	11
6	420	11
7	577	11
8	722	11
9	821	11
10	835	11
done	835	11

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.8b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 1.0 (/ x (* (- y z) (- y t))))
0.0b	(* (- y z) (- y t))
8.4b	(/ x (* (- y z) (- y t)))

rewrite128.0ms

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:

41.0ms	(- 1.0 (/ x (* (- y z) (- y t))))
57.0ms	(* (- y z) (- y t))
25.0ms	(/ x (* (- y z) (- y t)))

series289.0ms

Counts

3 → 9

Calls

3 calls:

124.0ms	(- 1.0 (/ x (* (- y z) (- y t))))
55.0ms	(* (- y z) (- y t))
109.0ms	(/ x (* (- y z) (- y t)))

simplify1.1s

Counts

86 → 86

Iterations

Useful iterations: 2 (241.0ms)

Iter	Nodes	Cost
0	151	1149
1	360	1098
2	1364	1010
done	5000	1010

prune338.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- y t))
0.5b	(cbrt (- y t))
0.5b	(cbrt (- y t))
8.4b	(/ x (* (* (- y z) (* (cbrt (- y t)) (cbrt (- y t)))) (cbrt (- y t))))

rewrite372.0ms

Algorithm

rewrite-expression-head

Rules

168×	`cbrt-div`
136×	`frac-times`
111×	`flip3--` `flip--`
80×	`associate-/r/`
50×	`associate-*l/`
44×	`associate-*r/`
18×	`add-exp-log`
15×	`cbrt-prod` `add-sqr-sqrt` `*-un-lft-identity`
13×	`add-cbrt-cube`
9×	`add-cube-cbrt`
6×	`prod-exp` `cbrt-unprod`
4×	`pow1` `cbrt-undiv` `div-exp` `add-log-exp`
3×	`times-frac` `pow1/3` `associate-/l*` `distribute-lft-out--` `difference-of-squares`
1×	`frac-2neg` `clear-num` `associate-/r*` `div-inv`

Counts

4 → 150

Calls

4 calls:

7.0ms	(cbrt (- y t))
4.0ms	(cbrt (- y t))
4.0ms	(cbrt (- y t))
323.0ms	(/ x (* (* (- y z) (* (cbrt (- y t)) (cbrt (- y t)))) (cbrt (- y t))))

series817.0ms

Counts

4 → 12

Calls

4 calls:

271.0ms	(cbrt (- y t))
234.0ms	(cbrt (- y t))
214.0ms	(cbrt (- y t))
97.0ms	(/ x (* (* (- y z) (* (cbrt (- y t)) (cbrt (- y t)))) (cbrt (- y t))))

simplify1.4s

Counts

162 → 162

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	333	3730
1	853	3708
2	2367	3372
done	5000	3149

prune818.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1.0 (* x (/ 1 (* (- y z) (- y t)))))
0.0b	(* (- y z) (- y t))
0.6b	(/ 1 (* (- y z) (- y t)))
8.5b	(* x (/ 1 (* (- y z) (- y t))))

rewrite234.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 122

Calls

4 calls:

11.0ms	(- 1.0 (* x (/ 1 (* (- y z) (- y t)))))
56.0ms	(* (- y z) (- y t))
34.0ms	(/ 1 (* (- y z) (- y t)))
125.0ms	(* x (/ 1 (* (- y z) (- y t))))

series278.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(- 1.0 (* x (/ 1 (* (- y z) (- y t)))))
38.0ms	(* (- y z) (- y t))
73.0ms	(/ 1 (* (- y z) (- y t)))
75.0ms	(* x (/ 1 (* (- y z) (- y t))))

simplify1.2s

Counts

134 → 134

Iterations

Useful iterations: 2 (290.0ms)

Iter	Nodes	Cost
0	190	1796
1	470	1581
2	1597	1415
done	5001	1415

prune439.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 1.0 (/ (/ x (- y z)) (- y t)))
0.0b	(/ x (- y z))
3.0b	(/ (/ x (- y z)) (- y t))

rewrite215.0ms

Algorithm

rewrite-expression-head

Rules

213×	`times-frac`
186×	`add-sqr-sqrt`
179×	`*-un-lft-identity`
89×	`add-cube-cbrt`
47×	`difference-of-squares`
45×	`distribute-lft-out--`
24×	`associate-/l*`
16×	`associate-/r/`
10×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
9×	`flip3--` `flip--`
8×	`div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1`
2×	`frac-2neg` `clear-num`
1×	`sub-neg` `diff-log` `associate-/l/`

Counts

3 → 201

Calls

3 calls:

121.0ms	(- 1.0 (/ (/ x (- y z)) (- y t)))
22.0ms	(/ x (- y z))
60.0ms	(/ (/ x (- y z)) (- y t))

series204.0ms

Counts

3 → 9

Calls

3 calls:

98.0ms	(- 1.0 (/ (/ x (- y z)) (- y t)))
34.0ms	(/ x (- y z))
72.0ms	(/ (/ x (- y z)) (- y t))

simplify1.1s

Counts

210 → 210

Iterations

Useful iterations: 2 (324.0ms)

Iter	Nodes	Cost
0	296	3699
1	709	3490
2	1833	3410
done	5000	3410

prune578.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes182.0ms

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

sample907.0ms

Algorithm

intervals

Results

557.0ms

8462×

body

valid