Details

sample46.0ms

Algorithm

intervals

Results

19.0ms

256×

body

valid

simplify17.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	12
1	15	12
2	22	12
done	22	12

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.9b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
0.0b	(* 1.1283791670955126 (exp z))
0.4b	(- (* 1.1283791670955126 (exp z)) (* x y))
10.0b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite124.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt` `*-un-lft-identity`
14×	`add-cube-cbrt`
9×	`times-frac`
8×	`add-cbrt-cube` `add-log-exp`
7×	`add-exp-log`
6×	`pow1`
3×	`associate-r` `associate-l` `associate-/r` `associate-/l`
2×	`flip3--` `associate-/r/` `flip--`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `div-inv` `distribute-lft-out` `unswap-sqr`

Counts

4 → 71

Calls

4 calls:

52.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
17.0ms	(* 1.1283791670955126 (exp z))
20.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
33.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series336.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
30.0ms	(* 1.1283791670955126 (exp z))
108.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
126.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify599.0ms

Counts

83 → 83

Iterations

Useful iterations: done (595.0ms)

Iter	Nodes	Cost
0	141	1154
1	343	1094
2	1242	1022
done	5001	1018

prune344.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
0.5b	(cbrt y)
2.4b	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) (cbrt y))
7.9b	(/ (* (cbrt y) (cbrt y)) (/ (- (* 1.1283791670955126 (exp z)) (* x y)) (cbrt y)))

rewrite124.0ms

Algorithm

rewrite-expression-head

Rules

76×	`times-frac`
47×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
36×	`cbrt-prod`
28×	`associate-/r*`
18×	`add-exp-log`
11×	`add-cbrt-cube`
7×	`cbrt-undiv` `div-exp`
4×	`pow1` `div-inv` `associate-/l*` `add-log-exp`
2×	`frac-2neg` `pow1/3` `prod-exp` `clear-num` `cbrt-unprod` `associate-/l/`
1×	`flip3--` `div-sub` `associate-/r/` `flip--`

Counts

4 → 128

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
49.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) (cbrt y))
66.0ms	(/ (* (cbrt y) (cbrt y)) (/ (- (* 1.1283791670955126 (exp z)) (* x y)) (cbrt y)))

series997.0ms

Counts

4 → 12

Calls

4 calls:

258.0ms	(cbrt y)
316.0ms	(cbrt y)
268.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) (cbrt y))
154.0ms	(/ (* (cbrt y) (cbrt y)) (/ (- (* 1.1283791670955126 (exp z)) (* x y)) (cbrt y)))

simplify508.0ms

Counts

140 → 140

Iterations

Useful iterations: done (501.0ms)

Iter	Nodes	Cost
0	213	2715
1	625	2623
done	5000	2423

prune775.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(- x (/ 1 x))

rewrite12.0ms

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:

11.0ms

(- x (/ 1 x))

series47.0ms

Counts

1 → 3

Calls

1 calls:

47.0ms

(- x (/ 1 x))

simplify1.2s

Counts

20 → 20

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	37	186
1	84	177
2	236	163
3	1455	163
done	5002	163

prune49.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.4b	(- (* 1.1283791670955126 (exp z)) (* x y))
0.4b	(- (* 1.1283791670955126 (exp z)) (* x y))
10.0b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))
10.0b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`times-frac`
8×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
6×	`associate-/r` `associate-/l`
4×	`pow1` `flip3--` `associate-/r/` `flip--`
2×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-exp` `clear-num` `div-inv`

Counts

4 → 82

Calls

4 calls:

21.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
13.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
32.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))
40.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series406.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
74.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
139.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))
117.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify2.6s

Counts

94 → 94

Iterations

Useful iterations: 3 (1.0s)

Iter	Nodes	Cost
0	96	1504
1	234	1476
2	805	1354
3	4081	1346
done	5001	1346

prune473.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes209.0ms

Accuracy

87.9% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 2.9b

bsearch2.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	19	52
1	27	48
done	27	48

end0.0ms

sample1.0s

Algorithm

intervals

Results

628.0ms

8000×

body

valid