Details

sample22.0ms

Algorithm

intervals

Results

8.0ms

350×

body

valid

simplify3.7s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	28	9
3	48	9
4	79	9
5	120	9
6	137	9
7	146	9
8	163	9
9	211	9
10	287	9
11	327	9
12	371	9
13	389	9
14	476	9
15	567	9
16	816	9
17	1145	9
18	1569	9
19	1652	9
20	1654	9
done	1654	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.2b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* (- y x) z) t))
0.0b	(* (- y x) z)
6.6b	(/ (* (- y x) z) t)

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 57

Calls

3 calls:

9.0ms	(+ x (/ (* (- y x) z) t))
25.0ms	(* (- y x) z)
16.0ms	(/ (* (- y x) z) t)

series118.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(+ x (/ (* (- y x) z) t))
34.0ms	(* (- y x) z)
45.0ms	(/ (* (- y x) z) t)

simplify2.7s

Counts

66 → 66

Iterations

Useful iterations: 2 (139.0ms)

Iter	Nodes	Cost
0	110	688
1	283	653
2	993	559
3	4874	559
done	5000	559

prune126.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (/ (- y x) (/ t z)))
8.6b	(/ (- y x) (/ t z))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

119×	`times-frac`
88×	`*-un-lft-identity`
86×	`add-sqr-sqrt`
58×	`add-cube-cbrt`
14×	`distribute-lft-out--` `difference-of-squares`
13×	`associate-/r*`
7×	`add-exp-log` `add-cbrt-cube` `div-inv`
5×	`associate-/l*`
4×	`add-log-exp`
3×	`cbrt-undiv` `div-exp`
2×	`pow1` `div-sub` `associate-/l/`
1×	`+-commutative` `associate-+r-` `flip3--` `frac-2neg` `flip3-+` `clear-num` `sum-log` `associate-/r/` `flip--` `flip-+` `distribute-lft-out`

Counts

2 → 114

Calls

2 calls:

34.0ms	(+ x (/ (- y x) (/ t z)))
21.0ms	(/ (- y x) (/ t z))

series83.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(+ x (/ (- y x) (/ t z)))
45.0ms	(/ (- y x) (/ t z))

simplify992.0ms

Counts

120 → 120

Iterations

Useful iterations: done (989.0ms)

Iter	Nodes	Cost
0	217	1896
1	594	1770
2	1847	1680
done	5001	1678

prune260.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (/ z t) (- y x)))
8.2b	(* (/ z t) (- y x))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 57

Calls

2 calls:

7.0ms	(+ x (* (/ z t) (- y x)))
30.0ms	(* (/ z t) (- y x))

series98.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(+ x (* (/ z t) (- y x)))
56.0ms	(* (/ z t) (- y x))

simplify2.2s

Counts

63 → 63

Iterations

Useful iterations: 2 (139.0ms)

Iter	Nodes	Cost
0	120	723
1	314	691
2	1007	619
3	3939	619
done	5000	619

prune125.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* (/ (- y x) t) z))
0.0b	(/ (- y x) t)
9.0b	(* (/ (- y x) t) z)

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-sqr-sqrt`
37×	`*-un-lft-identity`
31×	`times-frac`
23×	`add-cube-cbrt`
19×	`associate-l`
10×	`add-exp-log` `add-cbrt-cube`
7×	`distribute-lft-out--` `difference-of-squares`
5×	`pow1` `associate-/l*` `add-log-exp`
3×	`associate-r` `associate-/r*`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `flip3--` `frac-2neg` `flip3-+` `div-sub` `pow-prod-down` `associate-l/` `clear-num` `sum-log` `-commutative` `flip--` `flip-+`

Counts

3 → 87

Calls

3 calls:

6.0ms	(+ x (* (/ (- y x) t) z))
14.0ms	(/ (- y x) t)
27.0ms	(* (/ (- y x) t) z)

series119.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(+ x (* (/ (- y x) t) z))
28.0ms	(/ (- y x) t)
51.0ms	(* (/ (- y x) t) z)

simplify2.0s

Counts

96 → 96

Iterations

Useful iterations: 3 (920.0ms)

Iter	Nodes	Cost
0	138	1033
1	347	984
2	994	916
3	3902	892
done	5000	892

prune196.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes135.0ms

Accuracy

16.9% (1.7b remaining)

Error of 1.7b against oracle of 0.0b and baseline of 2.0b

bsearch25.0ms

Steps

Iters	Range		Point
7	-1.8158865307478539e+22	-2.1272797501095667e+20	-1.5972839773101763e+21

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	16	24
1	22	22
done	22	22

end0.0ms

sample602.0ms

Algorithm

intervals

Results

254.0ms

10694×

body

valid