Details

sample18.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify10.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	12
1	16	12
2	24	12
3	28	12
done	28	12

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.1b

localize8.0ms

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)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

14×	`*-un-lft-identity`
12×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`times-frac`
7×	`add-log-exp`
5×	`add-exp-log` `add-cbrt-cube`
3×	`pow1` `expm1-log1p-u` `fma-def` `associate-/r` `log1p-expm1-u` `associate-/l`
2×	`flip3--` `associate-/r/` `flip--`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `frac-2neg` `flip3-+` `fma-neg` `diff-log` `div-exp` `prod-diff` `clear-num` `sum-log` `flip-+` `div-inv` `distribute-lft-out`

Counts

3 → 64

Calls

3 calls:

19.0ms	(+ 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)))

series161.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
58.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
68.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify1.1s

Counts

73 → 73

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	128	1105
1	311	1048
2	855	982
3	2347	979
done	5001	977

prune219.0ms

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)

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
58×	`*-un-lft-identity`
55×	`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` `expm1-log1p-u` `log1p-expm1-u`
3×	`fma-def`
2×	`rec-exp` `flip3--` `frac-2neg` `1-exp` `clear-num` `flip--` `associate-/l/` `distribute-lft-out`
1×	`+-commutative` `sub-neg` `pow-flip` `flip3-+` `fma-neg` `diff-log` `div-sub` `prod-diff` `sum-log` `associate-/r/` `flip-+` `inv-pow`

Counts

4 → 144

Calls

4 calls:

24.0ms	(+ 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))
14.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

series223.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(+ x (/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)))
47.0ms	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
57.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
72.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

simplify2.1s

Counts

156 → 156

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	235	2917
1	574	2643
2	1373	2366
3	3849	2258
done	5001	2256

prune389.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize11.0ms

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))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log`
19×	`add-sqr-sqrt`
17×	`*-un-lft-identity`
14×	`add-cube-cbrt`
13×	`times-frac` `associate-r` `add-cbrt-cube`
8×	`pow1` `prod-exp`
7×	`div-exp`
6×	`1-exp`
5×	`add-log-exp`
3×	`cbrt-undiv` `expm1-log1p-u` `rec-exp` `fma-def` `associate-r/` `associate-l` `cbrt-unprod` `log1p-expm1-u` `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 → 87

Calls

3 calls:

10.0ms	(+ 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))

series128.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(+ x (/ 1 (* 1 (- (* 1.1283791670955126 (/ (exp z) y)) x))))
67.0ms	(/ 1 (* 1 (- (* 1.1283791670955126 (/ (exp z) y)) x)))
21.0ms	(* 1.1283791670955126 (/ (exp z) y))

simplify1.6s

Counts

96 → 96

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	179	1259
1	455	1029
2	1108	942
3	3188	933
done	5001	932

prune244.0ms

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))

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-exp-log`
28×	`add-sqr-sqrt`
23×	`add-cbrt-cube`
21×	`*-un-lft-identity`
18×	`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` `expm1-log1p-u` `log1p-expm1-u` `unswap-sqr`
3×	`rec-exp` `fma-def` `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 → 118

Calls

4 calls:

18.0ms	(+ x (/ 1 (* 1 (- (* (sqrt 1.1283791670955126) (* (sqrt 1.1283791670955126) (/ (exp z) y))) x))))
46.0ms	(/ 1 (* 1 (- (* (sqrt 1.1283791670955126) (* (sqrt 1.1283791670955126) (/ (exp z) y))) x)))
19.0ms	(* (sqrt 1.1283791670955126) (* (sqrt 1.1283791670955126) (/ (exp z) y)))
11.0ms	(* (sqrt 1.1283791670955126) (/ (exp z) y))

series549.0ms

Counts

4 → 12

Calls

4 calls:

158.0ms	(+ x (/ 1 (* 1 (- (* (sqrt 1.1283791670955126) (* (sqrt 1.1283791670955126) (/ (exp z) y))) x))))
247.0ms	(/ 1 (* 1 (- (* (sqrt 1.1283791670955126) (* (sqrt 1.1283791670955126) (/ (exp z) y))) x)))
88.0ms	(* (sqrt 1.1283791670955126) (* (sqrt 1.1283791670955126) (/ (exp z) y)))
56.0ms	(* (sqrt 1.1283791670955126) (/ (exp z) y))

simplify956.0ms

Counts

130 → 130

Iterations

Useful iterations: 2 (235.0ms)

Iter	Nodes	Cost
0	213	2042
1	548	1417
2	1619	1272
done	5000	1272

prune324.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes108.0ms

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

sample433.0ms

Algorithm

intervals

Results

263.0ms

8000×

body

valid