Details

sample87.0ms

Algorithm

intervals

Results

44.0ms

481×

body

valid

simplify28.0ms

Counts

1 → 1

Iterations

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

prune24.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 11.9b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ x (/ (* y y) x)) (* (/ z t) (/ z t)))
0.3b	(* (/ z t) (/ z t))
4.6b	(/ x (/ (* y y) x))
9.7b	(/ (* y y) x)

rewrite100.0ms

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:

39.0ms	(+ (/ x (/ (* y y) x)) (* (/ z t) (/ z t)))
28.0ms	(* (/ z t) (/ z t))
15.0ms	(/ x (/ (* y y) x))
11.0ms	(/ (* y y) x)

series266.0ms

Counts

4 → 12

Calls

4 calls:

167.0ms	(+ (/ x (/ (* y y) x)) (* (/ z t) (/ z t)))
35.0ms	(* (/ z t) (/ z t))
37.0ms	(/ x (/ (* y y) x))
26.0ms	(/ (* y y) x)

simplify476.0ms

Counts

162 → 162

Iterations

Iter	Nodes
done	5001
1	809
0	244

prune1.2s

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

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))

rewrite181.0ms

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:

110.0ms	(+ (/ (/ x y) (/ y x)) (* (/ z t) (/ z t)))
25.0ms	(/ (/ x y) (/ y x))
31.0ms	(* (/ z t) (/ z t))

series213.0ms

Counts

3 → 9

Calls

3 calls:

144.0ms	(+ (/ (/ x y) (/ y x)) (* (/ z t) (/ z t)))
28.0ms	(/ (/ x y) (/ y x))
41.0ms	(* (/ z t) (/ z t))

simplify972.0ms

Counts

305 → 305

Iterations

Iter	Nodes
done	5000
1	1968
0	553

prune1.9s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0b

localize50.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* (/ z t) (/ z t))) (cbrt (* (/ z t) (/ z t))))
20.7b	(cbrt (* (/ z t) (/ z t)))
20.7b	(cbrt (* (/ z t) (/ z t)))
20.7b	(cbrt (* (/ z t) (/ z t)))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

33×	`cbrt-div`
20×	`frac-times`
14×	`associate-l/` `associate-r/`
12×	`add-sqr-sqrt`
11×	`cbrt-prod` `pow1`
9×	`pow1/3`
8×	`*-un-lft-identity` `add-cube-cbrt`
6×	`add-exp-log`
4×	`add-cbrt-cube` `swap-sqr` `associate-r` `associate-l` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 85

Calls

4 calls:

19.0ms	(* (cbrt (* (/ z t) (/ z t))) (cbrt (* (/ z t) (/ z t))))
11.0ms	(cbrt (* (/ z t) (/ z t)))
11.0ms	(cbrt (* (/ z t) (/ z t)))
11.0ms	(cbrt (* (/ z t) (/ z t)))

series450.0ms

Counts

4 → 12

Calls

4 calls:

108.0ms	(* (cbrt (* (/ z t) (/ z t))) (cbrt (* (/ z t) (/ z t))))
126.0ms	(cbrt (* (/ z t) (/ z t)))
116.0ms	(cbrt (* (/ z t) (/ z t)))
99.0ms	(cbrt (* (/ z t) (/ z t)))

simplify6.6s

Counts

97 → 97

Iterations

Iter	Nodes
done	5001
3	4812
2	685
1	224
0	112

prune683.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 0b

localize57.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (/ z t)) (cbrt (/ z t)))
10.4b	(cbrt (/ z t))
10.4b	(cbrt (/ z t))
10.4b	(cbrt (/ z t))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

103×	`cbrt-prod`
81×	`add-sqr-sqrt`
69×	`times-frac`
57×	`*-un-lft-identity` `add-cube-cbrt`
16×	`swap-sqr` `associate-r` `associate-l`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `div-inv`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-l/` `prod-exp` `associate-r/` `*-commutative` `cbrt-unprod`

Counts

4 → 144

Calls

4 calls:

30.0ms	(* (cbrt (/ z t)) (cbrt (/ z t)))
2.0ms	(cbrt (/ z t))
9.0ms	(cbrt (/ z t))
4.0ms	(cbrt (/ z t))

series397.0ms

Counts

4 → 12

Calls

4 calls:

117.0ms	(* (cbrt (/ z t)) (cbrt (/ z t)))
87.0ms	(cbrt (/ z t))
92.0ms	(cbrt (/ z t))
100.0ms	(cbrt (/ z t))

simplify980.0ms

Counts

156 → 156

Iterations

Iter	Nodes
done	5001
2	1218
1	283
0	161

prune1.1s

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 0b

regimes667.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	17
1	17
0	14

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.2s

15441×

body

valid