Details

sample18.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify5.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	6
1	22	6
2	22	6
done	22	6

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.4b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
0.8b	(- (* 1.1283791670955126 (exp z)) (* x y))
7.5b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity`
11×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`times-frac`
7×	`add-log-exp`
5×	`add-exp-log` `add-cbrt-cube`
3×	`pow1` `associate-/r` `associate-/l`
2×	`flip3--` `associate-/r/` `flip--`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `div-exp` `clear-num` `sum-log` `flip-+` `div-inv` `distribute-lft-out`

Counts

3 → 53

Calls

3 calls:

35.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
11.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
20.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series172.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
58.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
75.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify137.0ms

Counts

62 → 62

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	287	523
1	981	488
2	4097	486
3	5002	486
done	5002	486

prune145.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))))
0.2b	(/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))
0.8b	(- (* 1.1283791670955126 (exp z)) (* x y))
7.4b	(* y (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y))))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
21×	`*-un-lft-identity`
20×	`add-cube-cbrt` `times-frac`
17×	`add-exp-log`
15×	`associate-r`
11×	`add-cbrt-cube`
8×	`add-log-exp`
7×	`pow1`
4×	`div-exp` `prod-exp` `associate-/r/`
3×	`flip3--` `associate-l` `associate-/r` `flip--` `associate-/l` `unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `1-exp` `cbrt-unprod` `div-inv`
1×	`+-commutative` `sub-neg` `pow-flip` `frac-2neg` `flip3-+` `diff-log` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `un-div-inv` `-commutative` `flip-+` `inv-pow`

Counts

4 → 94

Calls

4 calls:

5.0ms	(+ x (* y (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))))
22.0ms	(/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))
11.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
49.0ms	(* y (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y))))

series237.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(+ x (* y (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))))
63.0ms	(/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))
56.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
79.0ms	(* y (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y))))

simplify54.0ms

Counts

106 → 106

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	422	886
1	1863	790
2	5001	758
done	5001	758

prune210.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.8b	(- (* 1.1283791670955126 (exp z)) (* x y))
3.8b	(* y (/ 1 (* (sqrt (- (* 1.1283791670955126 (exp z)) (* x y))) (sqrt (- (* 1.1283791670955126 (exp z)) (* x y))))))
4.2b	(sqrt (- (* 1.1283791670955126 (exp z)) (* x y)))
4.2b	(sqrt (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite223.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-exp-log`
16×	`add-sqr-sqrt` `sqrt-div`
15×	`associate-r`
13×	`add-cbrt-cube`
10×	`*-un-lft-identity` `prod-exp`
9×	`add-cube-cbrt` `flip3--` `flip--`
8×	`pow1` `associate-/r/`
6×	`sqrt-prod` `add-log-exp`
5×	`times-frac`
4×	`frac-times` `div-exp` `cbrt-unprod`
3×	`associate-r/` `associate-l*` `unswap-sqr`
2×	`cbrt-undiv` `rem-sqrt-square` `rec-exp` `sqrt-pow1` `pow1/2` `1-exp` `associate-*l/`
1×	`sub-neg` `diff-log` `pow-prod-down` `un-div-inv` `*-commutative` `div-inv`

Counts

4 → 84

Calls

4 calls:

11.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
181.0ms	(* y (/ 1 (* (sqrt (- (* 1.1283791670955126 (exp z)) (* x y))) (sqrt (- (* 1.1283791670955126 (exp z)) (* x y))))))
14.0ms	(sqrt (- (* 1.1283791670955126 (exp z)) (* x y)))
14.0ms	(sqrt (- (* 1.1283791670955126 (exp z)) (* x y)))

series344.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
78.0ms	(* y (/ 1 (* (sqrt (- (* 1.1283791670955126 (exp z)) (* x y))) (sqrt (- (* 1.1283791670955126 (exp z)) (* x y))))))
103.0ms	(sqrt (- (* 1.1283791670955126 (exp z)) (* x y)))
100.0ms	(sqrt (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify52.0ms

Counts

96 → 96

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	443	989
1	1671	839
2	5001	805
done	5001	805

prune259.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b	(- x (/ 1 x))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
5×	`*-un-lft-identity`
3×	`add-log-exp` `difference-of-squares`
2×	`times-frac` `distribute-lft-out--`
1×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--` `div-inv`

Counts

1 → 17

Calls

1 calls:

10.0ms

(- x (/ 1 x))

series27.0ms

Counts

1 → 3

Calls

1 calls:

27.0ms

(- x (/ 1 x))

simplify80.0ms

Counts

20 → 20

Iterations

Useful iterations: 2 (12.0ms)

Iter	Nodes	Cost
0	82	90
1	229	85
2	1594	81
3	5001	81
done	5001	81

prune28.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes117.0ms

Accuracy

56.8% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 2.7b

bsearch2.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	14
1	21	14
done	21	14

end0.0ms

sample465.0ms

Algorithm

intervals

Results

245.0ms

8000×

body

valid