Details

sample49.0ms

Algorithm

intervals

Results

19.0ms

272×

body

valid

simplify3.4s

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	460	11
6	1479	11
done	5000	11

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize27.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- y z) (- y t))
5.5b	(/ x (* (- y z) (- y t)))

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 63

Calls

2 calls:

72.0ms	(* (- y z) (- y t))
45.0ms	(/ x (* (- y z) (- y t)))

series198.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(* (- y z) (- y t))
146.0ms	(/ x (* (- y z) (- y t)))

simplify1.6s

Counts

69 → 69

Iterations

Useful iterations: 2 (338.0ms)

Iter	Nodes	Cost
0	125	860
1	315	838
2	1696	754
done	5002	754

prune568.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize29.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- y z) (- y t))
0.5b	(/ 1 (/ (* (- y z) (- y t)) x))
5.5b	(/ (* (- y z) (- y t)) x)

rewrite183.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 119

Calls

3 calls:

73.0ms	(* (- y z) (- y t))
55.0ms	(/ 1 (/ (* (- y z) (- y t)) x))
47.0ms	(/ (* (- y z) (- y t)) x)

series386.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(* (- y z) (- y t))
244.0ms	(/ 1 (/ (* (- y z) (- y t)) x))
92.0ms	(/ (* (- y z) (- y t)) x)

simplify2.4s

Counts

128 → 128

Iterations

Useful iterations: 2 (739.0ms)

Iter	Nodes	Cost
0	201	1812
1	578	1654
2	3590	1494
done	5002	1494

prune718.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize32.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- y z) (- y t))
0.5b	(/ 1 (* (* (- y z) (- y t)) (/ 1 x)))
5.6b	(* (* (- y z) (- y t)) (/ 1 x))

rewrite356.0ms

Algorithm

rewrite-expression-head

Rules

105×	`add-exp-log`
49×	`prod-exp`
36×	`frac-times`
35×	`add-cbrt-cube`
34×	`div-exp`
30×	`flip3--` `flip--`
26×	`associate-*l/`
20×	`add-sqr-sqrt`
18×	`-un-lft-identity` `associate-r*` `associate-/r/`
17×	`rec-exp` `1-exp`
16×	`pow1`
14×	`add-cube-cbrt`
13×	`cbrt-unprod`
12×	`times-frac` `associate-*r/`
9×	`cbrt-undiv`
7×	`pow-prod-down`
6×	`associate-l`
3×	`pow-flip` `associate-/l*` `add-log-exp`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `un-div-inv` `*-commutative` `div-inv` `distribute-lft-out--` `difference-of-squares`
1×	`frac-2neg` `clear-num` `associate-/r*` `inv-pow` `unswap-sqr`

Counts

3 → 159

Calls

3 calls:

64.0ms	(* (- y z) (- y t))
156.0ms	(/ 1 (* (* (- y z) (- y t)) (/ 1 x)))
124.0ms	(* (* (- y z) (- y t)) (/ 1 x))

series325.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(* (- y z) (- y t))
203.0ms	(/ 1 (* (* (- y z) (- y t)) (/ 1 x)))
79.0ms	(* (* (- y z) (- y t)) (/ 1 x))

simplify4.0s

Counts

168 → 168

Iterations

Useful iterations: 2 (974.0ms)

Iter	Nodes	Cost
0	248	2633
1	798	2252
2	4988	1952
done	5000	1952

prune798.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

5.5b	(/ x (* (* (cbrt (* (- y z) (- y t))) (cbrt (* (- y z) (- y t)))) (cbrt (* (- y z) (- y t)))))
25.4b	(cbrt (* (- y z) (- y t)))
25.4b	(cbrt (* (- y z) (- y t)))
25.4b	(cbrt (* (- y z) (- y t)))

rewrite536.0ms

Algorithm

rewrite-expression-head

Rules

2200×	`frac-times`
1968×	`cbrt-div`
1476×	`flip3--` `flip--`
728×	`associate-/r/`
644×	`associate-*l/`
572×	`associate-*r/`
13×	`add-exp-log`
9×	`add-cbrt-cube`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-log-exp`
3×	`cbrt-undiv` `cbrt-prod` `times-frac` `pow1/3` `div-exp` `prod-exp` `cbrt-unprod` `associate-/l*`
1×	`frac-2neg` `clear-num` `associate-/r*` `div-inv`

Counts

4 → 802

Calls

4 calls:

217.0ms	(/ x (* (* (cbrt (* (- y z) (- y t))) (cbrt (* (- y z) (- y t)))) (cbrt (* (- y z) (- y t)))))
18.0ms	(cbrt (* (- y z) (- y t)))
18.0ms	(cbrt (* (- y z) (- y t)))
18.0ms	(cbrt (* (- y z) (- y t)))

series1.0s

Counts

4 → 12

Calls

4 calls:

101.0ms	(/ x (* (* (cbrt (* (- y z) (- y t))) (cbrt (* (- y z) (- y t)))) (cbrt (* (- y z) (- y t)))))
279.0ms	(cbrt (* (- y z) (- y t)))
299.0ms	(cbrt (* (- y z) (- y t)))
325.0ms	(cbrt (* (- y z) (- y t)))

simplify2.2s

Counts

814 → 814

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	1659	33872
1	3607	33810
done	5001	33106

prune11.1s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes354.0ms

Accuracy

0% (0.7b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	13
1	15	13
done	15	13

end0.0ms

sample1.1s

Algorithm

intervals

Results

488.0ms

8459×

body

valid