Details

sample112.0ms

Algorithm

intervals

Results

34.0ms	25×	body	1280	valid
23.0ms	213×	body	80	valid
17.0ms	33×	body	640	valid
10.0ms	104×	body	80	nan
7.0ms	18×	body	320	valid
3.0ms	11×	body	160	valid

simplify2.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5002
7	2331
6	692
5	309
4	122
3	52
2	27
1	18
0	10

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.3b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (exp (* y (log (/ y (+ z y))))) y)
0.0b	(/ y (+ z y))
0.1b	(* y (log (/ y (+ z y))))
13.1b	(log (/ y (+ z y)))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

261×	`times-frac`
221×	`*-un-lft-identity`
198×	`log-prod`
149×	`add-sqr-sqrt`
147×	`add-cube-cbrt`
144×	`exp-sum`
90×	`distribute-rgt-in` `distribute-lft-in`
42×	`associate-/l*`
37×	`distribute-lft-out`
24×	`associate-/r/`
13×	`div-inv`
12×	`flip3-+` `add-exp-log` `flip-+`
10×	`add-cbrt-cube`
8×	`pow1`
7×	`associate-/r*`
4×	`associate-r` `insert-posit16` `add-log-exp`
3×	`div-exp` `associate-l`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `rem-log-exp` `log-pow`
1×	`log-div` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 292

Calls

4 calls:

34.0ms	(/ (exp (* y (log (/ y (+ z y))))) y)
11.0ms	(/ y (+ z y))
19.0ms	(* y (log (/ y (+ z y))))
4.0ms	(log (/ y (+ z y)))

series397.0ms

Counts

4 → 12

Calls

4 calls:

191.0ms	(/ (exp (* y (log (/ y (+ z y))))) y)
56.0ms	(/ y (+ z y))
79.0ms	(* y (log (/ y (+ z y))))
70.0ms	(log (/ y (+ z y)))

simplify2.1s

Counts

304 → 304

Iterations

Iter	Nodes
done	5010
2	2216
1	880
0	474

prune1.4s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
5.2b	(log (/ (cbrt y) (cbrt (+ z y))))
5.2b	(log (/ (cbrt y) (cbrt (+ z y))))
5.2b	(log (/ (cbrt y) (cbrt (+ z y))))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

144×	`log-prod`
138×	`cbrt-prod`
126×	`times-frac`
122×	`*-un-lft-identity`
86×	`add-sqr-sqrt` `add-cube-cbrt`
18×	`distribute-lft-out`
13×	`add-exp-log`
7×	`pow1`
6×	`cbrt-div` `rem-log-exp` `associate-/r/`
4×	`add-cbrt-cube` `insert-posit16` `add-log-exp`
3×	`log-div` `flip3-+` `div-exp` `log-pow` `flip-+` `div-inv`
1×	`pow1/3`

Counts

4 → 192

Calls

4 calls:

1.0ms	(cbrt y)
4.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
5.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
6.0ms	(log (/ (cbrt y) (cbrt (+ z y))))

series484.0ms

Counts

4 → 12

Calls

4 calls:

234.0ms	(cbrt y)
84.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
81.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
85.0ms	(log (/ (cbrt y) (cbrt (+ z y))))

simplify1.9s

Counts

204 → 204

Iterations

Iter	Nodes
done	5000
4	4251
3	1541
2	622
1	320
0	175

prune1.3s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize73.0ms

Local error

Found 4 expressions with local error:

5.2b	(log (/ (cbrt y) (cbrt (+ z y))))
5.2b	(log (/ (cbrt y) (cbrt (+ z y))))
5.2b	(log (/ (cbrt y) (cbrt (+ z y))))
5.2b	(log (/ (cbrt y) (cbrt (+ z y))))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

192×	`log-prod`
180×	`cbrt-prod`
168×	`times-frac`
160×	`*-un-lft-identity`
112×	`add-sqr-sqrt` `add-cube-cbrt`
24×	`distribute-lft-out`
16×	`add-exp-log`
8×	`pow1` `cbrt-div` `rem-log-exp` `associate-/r/`
4×	`log-div` `flip3-+` `add-cbrt-cube` `div-exp` `log-pow` `flip-+` `insert-posit16` `div-inv` `add-log-exp`

Counts

4 → 240

Calls

4 calls:

4.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
4.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
7.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
9.0ms	(log (/ (cbrt y) (cbrt (+ z y))))

series361.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
92.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
87.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
84.0ms	(log (/ (cbrt y) (cbrt (+ z y))))

simplify2.5s

Counts

252 → 252

Iterations

Iter	Nodes
done	5003
5	4959
4	2596
3	1120
2	524
1	291
0	163

prune2.2s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (/ (exp (- z)) y))
0.0b	(/ (exp (- z)) y)

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-un-lft-identity`
10×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`times-frac`
4×	`add-cbrt-cube` `add-log-exp`
3×	`associate-/r` `add-exp-log` `associate-/l`
2×	`pow1` `insert-posit16` `associate-/l/`
1×	`neg-sub0` `exp-neg` `cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `exp-diff` `div-exp` `flip-+` `div-inv` `distribute-lft-out`

Counts

2 → 43

Calls

2 calls:

21.0ms	(+ x (/ (exp (- z)) y))
17.0ms	(/ (exp (- z)) y)

series79.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(+ x (/ (exp (- z)) y))
40.0ms	(/ (exp (- z)) y)

simplify1.7s

Counts

49 → 49

Iterations

Iter	Nodes
done	5011
3	2309
2	572
1	194
0	87

prune247.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

regimes181.0ms

Accuracy

0% (1.1b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 1.1b

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	25
1	25
0	18

end0.0ms

sample4.1s

Algorithm

intervals

Results

1.4s	6534×	body	80	valid
820.0ms	773×	body	1280	valid
789.0ms	917×	body	640	valid
378.0ms	2925×	body	80	nan
277.0ms	538×	body	320	valid
90.0ms	315×	body	160	valid