Details

sample91.0ms

Algorithm

intervals

Results

23.0ms	31×	body	1280	valid
17.0ms	210×	body	80	valid
15.0ms	33×	body	640	valid
8.0ms	95×	body	80	nan
4.0ms	12×	body	320	valid
2.0ms	10×	body	160	valid

simplify968.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	1983
5	483
4	150
3	54
2	27
1	18
0	10

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.7b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (pow (/ y (+ y z)) y) y))
0.0b	(/ (pow (/ y (+ y z)) y) y)
0.0b	(/ y (+ y z))
5.6b	(pow (/ y (+ y z)) y)

rewrite212.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
121×	`*-un-lft-identity`
90×	`unpow-prod-down`
81×	`add-sqr-sqrt` `add-cube-cbrt`
25×	`associate-/l*`
20×	`distribute-lft-out`
17×	`add-exp-log`
12×	`associate-/r/`
8×	`add-cbrt-cube`
7×	`associate-/r*` `flip3-+` `div-exp` `flip-+` `div-inv`
6×	`add-log-exp`
5×	`pow1` `sqr-pow`
4×	`pow-exp`
3×	`pow-unpow`
2×	`pow-to-exp` `cbrt-undiv` `clear-num` `frac-2neg`
1×	`+-commutative` `sum-log` `pow-pow`

Counts

4 → 184

Calls

4 calls:

95.0ms	(+ x (/ (pow (/ y (+ y z)) y) y))
69.0ms	(/ (pow (/ y (+ y z)) y) y)
18.0ms	(/ y (+ y z))
22.0ms	(pow (/ y (+ y z)) y)

series778.0ms

Counts

4 → 12

Calls

4 calls:

133.0ms	(+ x (/ (pow (/ y (+ y z)) y) y))
215.0ms	(/ (pow (/ y (+ y z)) y) y)
54.0ms	(/ y (+ y z))
376.0ms	(pow (/ y (+ y z)) y)

simplify1.6s

Counts

196 → 196

Iterations

Iter	Nodes
done	5001
2	3058
1	718
0	299

prune1.2s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.8b

localize52.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
0.6b	(* (cbrt (+ y z)) (cbrt (+ y z)))
1.0b	(pow (/ (cbrt y) (cbrt (+ y z))) y)
1.9b	(pow (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ y z)) (cbrt (+ y z)))) y)

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

72×	`cbrt-prod`
69×	`*-un-lft-identity`
61×	`unpow-prod-down`
51×	`add-sqr-sqrt`
43×	`times-frac` `add-cube-cbrt`
26×	`cbrt-div`
22×	`add-exp-log`
13×	`pow1` `flip3-+` `flip-+`
12×	`distribute-lft-out`
10×	`associate-/r/`
9×	`swap-sqr`
8×	`frac-times`
7×	`pow1/3` `associate-r` `associate-l` `pow-exp`
6×	`pow-unpow`
5×	`div-exp` `prod-exp`
4×	`add-cbrt-cube` `associate-l/` `associate-r/` `add-log-exp` `unswap-sqr`
2×	`pow-to-exp` `pow-pow` `pow-prod-down` `pow-sqr` `pow-prod-up` `div-inv` `sqr-pow`
1×	`pow2` `pow-plus` `*-commutative` `cbrt-unprod`

Counts

4 → 158

Calls

4 calls:

1.0ms	(cbrt y)
29.0ms	(* (cbrt (+ y z)) (cbrt (+ y z)))
22.0ms	(pow (/ (cbrt y) (cbrt (+ y z))) y)
33.0ms	(pow (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ y z)) (cbrt (+ y z)))) y)

series1.5s

Counts

4 → 12

Calls

4 calls:

319.0ms	(cbrt y)
292.0ms	(* (cbrt (+ y z)) (cbrt (+ y z)))
452.0ms	(pow (/ (cbrt y) (cbrt (+ y z))) y)
455.0ms	(pow (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ y z)) (cbrt (+ y z)))) y)

simplify2.1s

Counts

170 → 170

Iterations

Iter	Nodes
done	5000
2	4213
1	1104
0	338

prune1.2s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize88.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
1.0b	(pow (/ (cbrt y) (cbrt (+ y z))) y)
1.0b	(pow (/ (cbrt y) (cbrt (+ y z))) y)
1.0b	(pow (/ (cbrt y) (cbrt (+ y z))) y)

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

144×	`unpow-prod-down`
138×	`cbrt-prod`
126×	`times-frac`
125×	`*-un-lft-identity`
89×	`add-sqr-sqrt` `add-cube-cbrt`
18×	`distribute-lft-out`
13×	`add-exp-log`
9×	`pow-unpow`
7×	`pow1`
6×	`cbrt-div` `pow-exp` `associate-/r/`
4×	`add-cbrt-cube` `add-log-exp`
3×	`pow-to-exp` `pow-pow` `flip3-+` `div-exp` `flip-+` `div-inv` `sqr-pow`
1×	`pow1/3`

Counts

4 → 200

Calls

4 calls:

1.0ms	(cbrt y)
28.0ms	(pow (/ (cbrt y) (cbrt (+ y z))) y)
19.0ms	(pow (/ (cbrt y) (cbrt (+ y z))) y)
15.0ms	(pow (/ (cbrt y) (cbrt (+ y z))) y)

series1.6s

Counts

4 → 12

Calls

4 calls:

261.0ms	(cbrt y)
447.0ms	(pow (/ (cbrt y) (cbrt (+ y z))) y)
432.0ms	(pow (/ (cbrt y) (cbrt (+ y z))) y)
436.0ms	(pow (/ (cbrt y) (cbrt (+ y z))) y)

simplify1.1s

Counts

212 → 212

Iterations

Iter	Nodes
done	5000
2	2077
1	655
0	208

prune1.6s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite59.0ms

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` `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 → 41

Calls

2 calls:

34.0ms	(+ (/ (exp (- z)) y) x)
24.0ms	(/ (exp (- z)) y)

series73.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(+ (/ (exp (- z)) y) x)
25.0ms	(/ (exp (- z)) y)

simplify610.0ms

Counts

47 → 47

Iterations

Iter	Nodes
done	5000
2	823
1	198
0	87

prune170.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

regimes151.0ms

Accuracy

0% (0.8b remaining)

Error of 0.9b against oracle of 0.1b and baseline of 0.9b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	14
1	14
0	12

end0.0ms

sample3.2s

Algorithm

intervals

Results

1.1s	6571×	body	80	valid
611.0ms	742×	body	1280	valid
538.0ms	943×	body	640	valid
197.0ms	550×	body	320	valid
180.0ms	3033×	body	80	nan
61.0ms	338×	body	160	valid