Details

sample48.0ms

Algorithm

intervals

Results

23.0ms

334×

body

valid

simplify4.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
8	2418
7	891
6	480
5	348
4	219
3	100
2	44
1	22
0	12

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (/ (- z x) y) 0.25)
0.0b	(/ (- z x) y)
0.0b	(- 1.0 (* 4.0 (- (/ (- z x) y) 0.25)))

rewrite161.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
23×	`*-un-lft-identity`
16×	`times-frac`
13×	`add-cube-cbrt`
7×	`add-log-exp`
6×	`difference-of-squares`
5×	`add-exp-log` `add-cbrt-cube` `associate-/l*` `distribute-lft-out--`
4×	`sub-neg` `associate--r+`
3×	`pow1` `flip3--` `associate-/r*` `flip--`
2×	`distribute-rgt-in` `distribute-lft-in` `diff-log` `div-sub` `associate-/l/`
1×	`cbrt-undiv` `associate--l-` `frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

3 → 70

Calls

3 calls:

112.0ms	(- (/ (- z x) y) 0.25)
32.0ms	(/ (- z x) y)
13.0ms	(- 1.0 (* 4.0 (- (/ (- z x) y) 0.25)))

series155.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(- (/ (- z x) y) 0.25)
61.0ms	(/ (- z x) y)
59.0ms	(- 1.0 (* 4.0 (- (/ (- z x) y) 0.25)))

simplify8.5s

Counts

79 → 79

Iterations

Iter	Nodes
done	5000
3	3742
2	866
1	322
0	136

prune733.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize29.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 2.0 (* 4.0 (- (/ x y) (/ z y))))
0.0b	(* 4.0 (- (/ x y) (/ z y)))
0.0b	(- (/ x y) (/ z y))

rewrite341.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
20×	`times-frac`
12×	`associate-r`
9×	`add-cube-cbrt`
8×	`distribute-lft-out--` `difference-of-squares`
7×	`add-log-exp`
5×	`pow1` `add-exp-log` `sub-neg` `add-cbrt-cube`
4×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in` `associate-*r/` `div-inv`
3×	`associate-l`
2×	`flip3--` `distribute-rgt-out--` `frac-sub` `flip--` `sub-div`
1×	`+-commutative` `flip3-+` `diff-log` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

3 → 73

Calls

3 calls:

29.0ms	(+ 2.0 (* 4.0 (- (/ x y) (/ z y))))
247.0ms	(* 4.0 (- (/ x y) (/ z y)))
61.0ms	(- (/ x y) (/ z y))

series173.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(+ 2.0 (* 4.0 (- (/ x y) (/ z y))))
79.0ms	(* 4.0 (- (/ x y) (/ z y)))
42.0ms	(- (/ x y) (/ z y))

simplify6.8s

Counts

82 → 82

Iterations

Iter	Nodes
done	5001
3	3727
2	902
1	317
0	125

prune580.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 1 (/ y (- z x))) 0.25)
0.0b	(- 1.0 (* 4.0 (- (/ 1 (/ y (- z x))) 0.25)))
0.0b	(/ y (- z x))
0.3b	(/ 1 (/ y (- z x)))

rewrite339.0ms

Algorithm

rewrite-expression-head

Rules

144×	`times-frac`
118×	`add-sqr-sqrt`
109×	`*-un-lft-identity`
72×	`add-cube-cbrt`
26×	`associate-/r*`
21×	`difference-of-squares`
18×	`distribute-lft-out--`
17×	`add-exp-log`
11×	`associate-/r/` `add-cbrt-cube`
8×	`div-exp` `add-log-exp`
7×	`flip3--` `flip--` `div-inv`
6×	`associate-/l*`
5×	`pow1`
4×	`cbrt-undiv` `sub-neg` `associate--r+`
2×	`distribute-rgt-in` `rec-exp` `frac-2neg` `distribute-lft-in` `diff-log` `1-exp` `clear-num`
1×	`pow-flip` `inv-pow`

Counts

4 → 180

Calls

4 calls:

208.0ms	(- (/ 1 (/ y (- z x))) 0.25)
14.0ms	(- 1.0 (* 4.0 (- (/ 1 (/ y (- z x))) 0.25)))
34.0ms	(/ y (- z x))
54.0ms	(/ 1 (/ y (- z x)))

series224.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(- (/ 1 (/ y (- z x))) 0.25)
67.0ms	(- 1.0 (* 4.0 (- (/ 1 (/ y (- z x))) 0.25)))
56.0ms	(/ y (- z x))
63.0ms	(/ 1 (/ y (- z x)))

simplify5.5s

Counts

192 → 192

Iterations

Iter	Nodes
done	5000
2	1829
1	665
0	273

prune2.2s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize66.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- (/ x y) (/ z y))) (cbrt (- (/ x y) (/ z y))))
3.1b	(cbrt (- (/ x y) (/ z y)))
3.1b	(cbrt (- (/ x y) (/ z y)))
3.1b	(cbrt (- (/ x y) (/ z y)))

rewrite808.0ms

Algorithm

rewrite-expression-head

Rules

121×	`add-sqr-sqrt`
92×	`cbrt-prod`
91×	`*-un-lft-identity`
70×	`times-frac`
52×	`cbrt-div`
30×	`distribute-lft-out--`
29×	`add-cube-cbrt`
28×	`difference-of-squares`
17×	`swap-sqr`
16×	`frac-times`
15×	`associate-r` `associate-l`
14×	`div-inv`
13×	`flip3--` `frac-sub` `flip--` `sub-div`
11×	`pow1`
9×	`pow1/3`
7×	`distribute-rgt-out--`
6×	`add-exp-log`
4×	`associate-r/` `associate-l/` `add-cbrt-cube` `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 → 165

Calls

4 calls:

350.0ms	(* (cbrt (- (/ x y) (/ z y))) (cbrt (- (/ x y) (/ z y))))
38.0ms	(cbrt (- (/ x y) (/ z y)))
39.0ms	(cbrt (- (/ x y) (/ z y)))
347.0ms	(cbrt (- (/ x y) (/ z y)))

series893.0ms

Counts

4 → 12

Calls

4 calls:

271.0ms	(* (cbrt (- (/ x y) (/ z y))) (cbrt (- (/ x y) (/ z y))))
208.0ms	(cbrt (- (/ x y) (/ z y)))
207.0ms	(cbrt (- (/ x y) (/ z y)))
207.0ms	(cbrt (- (/ x y) (/ z y)))

simplify6.4s

Counts

177 → 177

Iterations

Iter	Nodes
done	5004
3	2443
2	1014
1	483
0	250

prune3.6s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes327.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	12
1	12
0	10

end0.0ms

sample6.1s

Algorithm

intervals

Results

4.8s

10091×

body

valid