Details

sample17.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify7.0ms

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: 2.1b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
0.4b	(- (* 1.1283791670955126 (exp z)) (* x y))
6.5b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite30.0ms

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)))

series162.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
55.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
70.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify1.4s

Counts

62 → 62

Iterations

Useful iterations: done (1.4s)

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

prune171.0ms

Pruning

6 alts after pruning (6 fresh and 0 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))
0.4b	(- (* 1.1283791670955126 (exp z)) (* x y))
6.4b	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

rewrite56.0ms

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:

23.0ms	(+ x (/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)))
10.0ms	(/ 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)

series215.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(+ x (/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)))
49.0ms	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
56.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
68.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

simplify1.9s

Counts

143 → 143

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	223	2802
1	547	2541
2	1273	2271
3	3449	2168
done	5001	2167

prune293.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ 1 (* 1 (- (* 1.1283791670955126 (/ (exp z) y)) x))))
0.1b	(/ 1 (* 1 (- (* 1.1283791670955126 (/ (exp z) y)) x)))
0.2b	(* 1.1283791670955126 (/ (exp z) y))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 78

Calls

3 calls:

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

series127.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(+ x (/ 1 (* 1 (- (* 1.1283791670955126 (/ (exp z) y)) x))))
65.0ms	(/ 1 (* 1 (- (* 1.1283791670955126 (/ (exp z) y)) x)))
21.0ms	(* 1.1283791670955126 (/ (exp z) y))

simplify1.5s

Counts

87 → 87

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	173	1189
1	440	972
2	1047	886
3	2964	877
done	5000	876

prune198.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ 1 (* 1 (- (* (sqrt 1.1283791670955126) (* (sqrt 1.1283791670955126) (/ (exp z) y))) x))))
0.1b	(/ 1 (* 1 (- (* (sqrt 1.1283791670955126) (* (sqrt 1.1283791670955126) (/ (exp z) y))) x)))
0.3b	(* (sqrt 1.1283791670955126) (* (sqrt 1.1283791670955126) (/ (exp z) y)))
0.3b	(* (sqrt 1.1283791670955126) (/ (exp z) y))

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 107

Calls

4 calls:

18.0ms	(+ x (/ 1 (* 1 (- (* (sqrt 1.1283791670955126) (* (sqrt 1.1283791670955126) (/ (exp z) y))) x))))
45.0ms	(/ 1 (* 1 (- (* (sqrt 1.1283791670955126) (* (sqrt 1.1283791670955126) (/ (exp z) y))) x)))
18.0ms	(* (sqrt 1.1283791670955126) (* (sqrt 1.1283791670955126) (/ (exp z) y)))
11.0ms	(* (sqrt 1.1283791670955126) (/ (exp z) y))

series531.0ms

Counts

4 → 12

Calls

4 calls:

152.0ms	(+ x (/ 1 (* 1 (- (* (sqrt 1.1283791670955126) (* (sqrt 1.1283791670955126) (/ (exp z) y))) x))))
238.0ms	(/ 1 (* 1 (- (* (sqrt 1.1283791670955126) (* (sqrt 1.1283791670955126) (/ (exp z) y))) x)))
86.0ms	(* (sqrt 1.1283791670955126) (* (sqrt 1.1283791670955126) (/ (exp z) y)))
55.0ms	(* (sqrt 1.1283791670955126) (/ (exp z) y))

simplify938.0ms

Counts

119 → 119

Iterations

Useful iterations: done (934.0ms)

Iter	Nodes	Cost
0	205	1932
1	534	1341
2	1575	1201
done	5000	1199

prune262.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes101.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	12	14
1	17	12
done	17	12

end0.0ms

sample427.0ms

Algorithm

intervals

Results

254.0ms

8000×

body

valid