Details

sample20.0ms

Algorithm

intervals

Results

9.0ms

333×

body

valid

simplify5.3s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	25	9
3	44	9
4	74	9
5	102	9
6	120	9
7	140	9
8	181	9
9	257	9
10	343	9
11	380	9
12	430	9
13	464	9
14	500	9
15	588	9
16	811	9
17	1088	9
18	1624	9
19	2120	9
20	2180	9
done	2180	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.4b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* y (- z x)) t))
0.0b	(* y (- z x))
4.8b	(/ (* y (- z x)) t)

rewrite21.0ms

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-r` `add-log-exp`
4×	`associate-*r/`
3×	`times-frac` `associate-l` `associate-/r*`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `flip3--` `distribute-lft-in` `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 → 61

Calls

3 calls:

4.0ms	(+ x (/ (* y (- z x)) t))
9.0ms	(* y (- z x))
6.0ms	(/ (* y (- z x)) t)

series125.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(+ x (/ (* y (- z x)) t))
36.0ms	(* y (- z x))
50.0ms	(/ (* y (- z x)) t)

simplify1.4s

Counts

70 → 70

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	113	722
1	290	679
2	854	589
3	3886	589
done	5001	588

prune146.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (/ (- z x) (/ t y)))
6.3b	(/ (- z x) (/ t y))

rewrite46.0ms

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:

29.0ms	(+ x (/ (- z x) (/ t y)))
10.0ms	(/ (- z x) (/ t y))

series81.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(+ x (/ (- z x) (/ t y)))
44.0ms	(/ (- z x) (/ t y))

simplify694.0ms

Counts

120 → 120

Iterations

Useful iterations: 2 (266.0ms)

Iter	Nodes	Cost
0	217	1896
1	604	1758
2	1816	1680
done	5001	1680

prune275.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* (- z x) (/ 1 (/ t y))))
0.5b	(/ 1 (/ t y))
5.9b	(* (- z x) (/ 1 (/ t y)))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

147×	`times-frac`
97×	`add-sqr-sqrt`
85×	`*-un-lft-identity`
81×	`add-cube-cbrt`
44×	`associate-r`
33×	`add-exp-log`
17×	`add-cbrt-cube`
14×	`div-exp`
13×	`associate-/r*`
9×	`div-inv`
7×	`prod-exp`
6×	`pow1` `cbrt-undiv`
5×	`associate-l` `add-log-exp` `unswap-sqr`
4×	`rec-exp` `1-exp`
3×	`cbrt-unprod` `associate-/l*`
2×	`frac-times` `flip3--` `associate-*l/` `associate-/r/` `flip--`
1×	`+-commutative` `pow-flip` `frac-2neg` `flip3-+` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `un-div-inv` `-commutative` `flip-+` `distribute-lft-out--` `inv-pow` `difference-of-squares`

Counts

3 → 166

Calls

3 calls:

2.0ms	(+ x (* (- z x) (/ 1 (/ t y))))
5.0ms	(/ 1 (/ t y))
26.0ms	(* (- z x) (/ 1 (/ t y)))

series83.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(+ x (* (- z x) (/ 1 (/ t y))))
8.0ms	(/ 1 (/ t y))
41.0ms	(* (- z x) (/ 1 (/ t y)))

simplify790.0ms

Counts

175 → 175

Iterations

Useful iterations: 2 (317.0ms)

Iter	Nodes	Cost
0	259	2262
1	651	1733
2	1639	1484
done	5000	1484

prune305.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (- z x) (/ y t)))
5.9b	(* (- z x) (/ y t))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 49

Calls

2 calls:

2.0ms	(+ x (* (- z x) (/ y t)))
14.0ms	(* (- z x) (/ y t))

series78.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(+ x (* (- z x) (/ y t)))
44.0ms	(* (- z x) (/ y t))

simplify2.6s

Counts

55 → 55

Iterations

Useful iterations: 3 (1.3s)

Iter	Nodes	Cost
0	115	669
1	296	627
2	1059	581
3	4921	557
done	5000	557

prune119.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes113.0ms

Accuracy

22.5% (1.6b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 2.0b

bsearch71.0ms

Steps

Iters	Range		Point
7	6.841021425788069e-10	8.116859208030337e-08	1.023082387227791e-08
9	-1.893433644712027e+47	-7.345391420963156e+39	-1.28204979550362e+41

simplify3.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	24	41
1	35	37
done	35	37

end0.0ms

sample554.0ms

Algorithm

intervals

Results

285.0ms

10679×

body

valid