Details

sample17.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify9.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.8b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
0.6b	(- (* 1.1283791670955126 (exp z)) (* x y))
6.2b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite31.0ms

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:

17.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
4.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
8.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series167.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
56.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
72.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify812.0ms

Counts

62 → 62

Iterations

Useful iterations: done (809.0ms)

Iter	Nodes	Cost
0	118	1020
1	288	974
2	769	907
3	2022	901
done	5001	900

prune153.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)))
0.1b	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
0.6b	(- (* 1.1283791670955126 (exp z)) (* x y))
6.1b	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
57×	`*-un-lft-identity`
54×	`add-sqr-sqrt` `add-cube-cbrt`
17×	`add-exp-log`
16×	`associate-/r*`
11×	`add-cbrt-cube`
8×	`div-exp` `add-log-exp`
7×	`div-inv`
6×	`associate-/l*`
5×	`pow1`
4×	`cbrt-undiv`
2×	`rec-exp` `flip3--` `frac-2neg` `1-exp` `clear-num` `flip--` `associate-/l/` `distribute-lft-out`
1×	`+-commutative` `sub-neg` `pow-flip` `flip3-+` `diff-log` `div-sub` `sum-log` `associate-/r/` `flip-+` `inv-pow`

Counts

4 → 131

Calls

4 calls:

24.0ms	(+ x (/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)))
13.0ms	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
4.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
11.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

series218.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(+ x (/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)))
50.0ms	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
55.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
71.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

simplify1.7s

Counts

143 → 143

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	223	2802
1	547	2541
2	1273	2271
3	3449	2168
done	5000	2167

prune284.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ 1 (* 1 (- (* 1.1283791670955126 (/ (exp z) y)) x))))
0.0b	(/ (exp z) y)
0.1b	(/ 1 (* 1 (- (* 1.1283791670955126 (/ (exp z) y)) x)))
0.1b	(* 1.1283791670955126 (/ (exp z) y))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 105

Calls

4 calls:

9.0ms	(+ x (/ 1 (* 1 (- (* 1.1283791670955126 (/ (exp z) y)) x))))
3.0ms	(/ (exp z) y)
15.0ms	(/ 1 (* 1 (- (* 1.1283791670955126 (/ (exp z) y)) x)))
10.0ms	(* 1.1283791670955126 (/ (exp z) y))

series145.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(+ x (/ 1 (* 1 (- (* 1.1283791670955126 (/ (exp z) y)) x))))
16.0ms	(/ (exp z) y)
66.0ms	(/ 1 (* 1 (- (* 1.1283791670955126 (/ (exp z) y)) x)))
22.0ms	(* 1.1283791670955126 (/ (exp z) y))

simplify1.5s

Counts

117 → 117

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	192	1437
1	465	1211
2	1102	1109
3	3179	1100
done	5000	1099

prune262.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ 1 (* 1 (- (* 1.1283791670955126 (/ (sqrt (exp z)) (/ y (sqrt (exp z))))) x))))
0.0b	(/ (sqrt (exp z)) (/ y (sqrt (exp z))))
0.1b	(/ 1 (* 1 (- (* 1.1283791670955126 (/ (sqrt (exp z)) (/ y (sqrt (exp z))))) x)))
0.1b	(* 1.1283791670955126 (/ (sqrt (exp z)) (/ y (sqrt (exp z)))))

rewrite143.0ms

Algorithm

rewrite-expression-head

Rules

511×	`times-frac`
291×	`add-sqr-sqrt`
270×	`*-un-lft-identity`
267×	`add-cube-cbrt`
257×	`sqrt-prod`
137×	`associate-r`
33×	`add-exp-log`
23×	`associate-/r*` `add-cbrt-cube`
17×	`div-inv`
12×	`div-exp`
9×	`pow1` `prod-exp` `associate-/l*`
8×	`cbrt-undiv`
7×	`unswap-sqr`
6×	`1-exp` `add-log-exp`
4×	`associate-/r/` `cbrt-unprod`
3×	`rec-exp` `associate-r/` `associate-l*`
2×	`pow-flip` `frac-2neg` `pow-prod-down` `clear-num` `distribute-lft-out`
1×	`+-commutative` `flip3--` `flip3-+` `sum-log` `*-commutative` `flip--` `flip-+` `inv-pow`

Counts

4 → 384

Calls

4 calls:

9.0ms	(+ x (/ 1 (* 1 (- (* 1.1283791670955126 (/ (sqrt (exp z)) (/ y (sqrt (exp z))))) x))))
11.0ms	(/ (sqrt (exp z)) (/ y (sqrt (exp z))))
42.0ms	(/ 1 (* 1 (- (* 1.1283791670955126 (/ (sqrt (exp z)) (/ y (sqrt (exp z))))) x)))
56.0ms	(* 1.1283791670955126 (/ (sqrt (exp z)) (/ y (sqrt (exp z)))))

series149.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(+ x (/ 1 (* 1 (- (* 1.1283791670955126 (/ (sqrt (exp z)) (/ y (sqrt (exp z))))) x))))
21.0ms	(/ (sqrt (exp z)) (/ y (sqrt (exp z))))
62.0ms	(/ 1 (* 1 (- (* 1.1283791670955126 (/ (sqrt (exp z)) (/ y (sqrt (exp z))))) x)))
27.0ms	(* 1.1283791670955126 (/ (sqrt (exp z)) (/ y (sqrt (exp z)))))

simplify1.4s

Counts

396 → 396

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	476	7540
1	1174	6393
2	3680	5402
done	5001	5400

prune736.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes114.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	14	19
1	19	17
done	19	17

end0.0ms

sample435.0ms

Algorithm

intervals

Results

262.0ms

8000×

body

valid