Details

sample83.0ms

Algorithm

intervals

Results

44.0ms

494×

body

valid

simplify30.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	54
3	54
2	42
1	24
0	11

prune22.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 14.1b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ x (/ (* y y) x)) (* (/ z t) (/ z t)))
0.3b	(* (/ z t) (/ z t))
7.4b	(/ x (/ (* y y) x))
11.6b	(/ (* y y) x)

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

76×	`times-frac`
62×	`add-sqr-sqrt`
50×	`*-un-lft-identity` `add-cube-cbrt`
30×	`add-cbrt-cube` `add-exp-log`
13×	`swap-sqr` `associate-r` `associate-l`
11×	`pow1` `cbrt-undiv` `div-exp`
10×	`associate-/r*` `div-inv`
6×	`prod-exp` `cbrt-unprod` `add-log-exp`
4×	`associate-/l*` `unswap-sqr`
3×	`frac-add`
2×	`frac-times` `clear-num` `frac-2neg` `associate-l/` `associate-r/`
1×	`pow2` `+-commutative` `sum-log` `flip3-+` `pow-plus` `pow-prod-down` `associate-/r/` `pow-sqr` `*-commutative` `pow-prod-up` `flip-+`

Counts

4 → 150

Calls

4 calls:

33.0ms	(+ (/ x (/ (* y y) x)) (* (/ z t) (/ z t)))
18.0ms	(* (/ z t) (/ z t))
9.0ms	(/ x (/ (* y y) x))
20.0ms	(/ (* y y) x)

series275.0ms

Counts

4 → 12

Calls

4 calls:

162.0ms	(+ (/ x (/ (* y y) x)) (* (/ z t) (/ z t)))
37.0ms	(* (/ z t) (/ z t))
47.0ms	(/ x (/ (* y y) x))
28.0ms	(/ (* y y) x)

simplify464.0ms

Counts

162 → 162

Iterations

Iter	Nodes
done	5001
1	809
0	244

prune1.3s

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ (/ x y) (/ y x)) (* (/ z t) (/ z t)))
0.2b	(/ (/ x y) (/ y x))
0.3b	(* (/ z t) (/ z t))

rewrite184.0ms

Algorithm

rewrite-expression-head

Rules

461×	`times-frac`
239×	`add-sqr-sqrt`
227×	`*-un-lft-identity` `add-cube-cbrt`
33×	`div-inv`
27×	`add-cbrt-cube` `add-exp-log`
13×	`associate-/r` `swap-sqr` `associate-r` `associate-l` `associate-/l`
12×	`cbrt-undiv` `div-exp`
10×	`pow1`
5×	`add-log-exp`
4×	`prod-exp` `cbrt-unprod` `unswap-sqr`
3×	`frac-add`
2×	`frac-times` `associate-l/` `associate-r/`
1×	`pow2` `+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `pow-plus` `pow-prod-down` `associate-/r/` `pow-sqr` `*-commutative` `pow-prod-up` `flip-+` `associate-/l/`

Counts

3 → 296

Calls

3 calls:

95.0ms	(+ (/ (/ x y) (/ y x)) (* (/ z t) (/ z t)))
24.0ms	(/ (/ x y) (/ y x))
40.0ms	(* (/ z t) (/ z t))

series194.0ms

Counts

3 → 9

Calls

3 calls:

117.0ms	(+ (/ (/ x y) (/ y x)) (* (/ z t) (/ z t)))
40.0ms	(/ (/ x y) (/ y x))
38.0ms	(* (/ z t) (/ z t))

simplify992.0ms

Counts

305 → 305

Iterations

Iter	Nodes
done	5000
1	1968
0	553

prune1.9s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (/ x y) (* (/ 1 y) x)) (* (/ z t) (/ z t)))
0.2b	(* (/ 1 y) x)
0.3b	(* (/ z t) (/ z t))
0.3b	(* (/ x y) (* (/ 1 y) x))

rewrite134.0ms

Algorithm

rewrite-expression-head

Rules

66×	`add-sqr-sqrt`
60×	`times-frac` `add-exp-log`
48×	`*-un-lft-identity`
47×	`add-cube-cbrt`
42×	`add-cbrt-cube`
39×	`associate-l`
26×	`prod-exp`
18×	`pow1`
17×	`associate-r` `associate-*l/`
16×	`cbrt-unprod`
15×	`div-exp`
13×	`swap-sqr`
10×	`cbrt-undiv`
9×	`frac-add`
8×	`frac-times` `associate-*r/`
7×	`unswap-sqr`
6×	`div-inv` `add-log-exp`
5×	`pow-prod-down`
3×	`rec-exp` `1-exp` `*-commutative`
1×	`pow2` `+-commutative` `sum-log` `flip3-+` `pow-plus` `pow-sqr` `pow-prod-up` `flip-+`

Counts

4 → 165

Calls

4 calls:

39.0ms	(+ (* (/ x y) (* (/ 1 y) x)) (* (/ z t) (/ z t)))
13.0ms	(* (/ 1 y) x)
18.0ms	(* (/ z t) (/ z t))
59.0ms	(* (/ x y) (* (/ 1 y) x))

series223.0ms

Counts

4 → 12

Calls

4 calls:

143.0ms	(+ (* (/ x y) (* (/ 1 y) x)) (* (/ z t) (/ z t)))
10.0ms	(* (/ 1 y) x)
33.0ms	(* (/ z t) (/ z t))
36.0ms	(* (/ x y) (* (/ 1 y) x))

simplify493.0ms

Counts

177 → 177

Iterations

Iter	Nodes
done	5000
1	924
0	278

prune942.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ (/ 1 1) (/ (/ y x) (/ x y))) (* (/ z t) (/ z t)))
0.2b	(/ (/ y x) (/ x y))
0.3b	(/ (/ 1 1) (/ (/ y x) (/ x y)))
0.3b	(* (/ z t) (/ z t))

rewrite1.9s

Algorithm

rewrite-expression-head

Rules

9940×	`times-frac`
4027×	`add-sqr-sqrt`
4015×	`*-un-lft-identity` `add-cube-cbrt`
587×	`div-inv`
187×	`associate-/r*`
149×	`add-exp-log`
123×	`div-exp`
69×	`add-cbrt-cube`
43×	`cbrt-undiv`
26×	`associate-/l*`
25×	`1-exp`
16×	`associate-/r/`
13×	`swap-sqr` `associate-r` `associate-l`
11×	`pow1`
10×	`rec-exp`
6×	`add-log-exp`
4×	`prod-exp` `cbrt-unprod` `unswap-sqr`
3×	`frac-add`
2×	`frac-times` `clear-num` `frac-2neg` `associate-l/` `associate-r/` `associate-/l/`
1×	`pow2` `+-commutative` `sum-log` `flip3-+` `pow-plus` `pow-prod-down` `pow-sqr` `*-commutative` `pow-prod-up` `flip-+`

Counts

4 → 2802

Calls

4 calls:

1.2s	(+ (/ (/ 1 1) (/ (/ y x) (/ x y))) (* (/ z t) (/ z t)))
27.0ms	(/ (/ y x) (/ x y))
165.0ms	(/ (/ 1 1) (/ (/ y x) (/ x y)))
37.0ms	(* (/ z t) (/ z t))

series273.0ms

Counts

4 → 12

Calls

4 calls:

127.0ms	(+ (/ (/ 1 1) (/ (/ y x) (/ x y))) (* (/ z t) (/ z t)))
48.0ms	(/ (/ y x) (/ x y))
50.0ms	(/ (/ 1 1) (/ (/ y x) (/ x y)))
47.0ms	(* (/ z t) (/ z t))

simplify3.3s

Counts

2814 → 2814

Iterations

Iter	Nodes
done	5001
0	4327

prune12.7s

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

regimes606.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	17
1	17
0	12

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.8s

15450×

body

valid