Details

sample106.0ms

Algorithm

intervals

Results

25.0ms	214×	body	80	valid
20.0ms	27×	body	1280	valid
15.0ms	32×	body	640	valid
6.0ms	94×	body	80	nan
5.0ms	18×	body	320	valid
2.0ms	13×	body	160	valid

simplify1.5s

Counts

1 → 1

Iterations

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.4b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ y (+ z y))
0.0b	(exp (* y (log (/ y (+ z y)))))
0.1b	(* y (log (/ y (+ z y))))
10.0b	(log (/ y (+ z y)))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

93×	`*-un-lft-identity`
90×	`log-prod`
72×	`times-frac`
57×	`add-sqr-sqrt`
55×	`add-cube-cbrt`
36×	`distribute-rgt-in` `distribute-lft-in` `exp-sum`
19×	`distribute-lft-out`
12×	`associate-/r/`
11×	`add-exp-log`
8×	`pow1` `add-cbrt-cube`
6×	`flip3-+` `flip-+` `div-inv` `add-log-exp`
4×	`associate-/r` `associate-r*`
3×	`associate-l` `associate-/l*`
2×	`div-exp` `rem-log-exp` `log-pow`
1×	`cbrt-undiv` `log-div` `exp-prod` `clear-num` `frac-2neg` `exp-to-pow` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr` `rem-exp-log`

Counts

4 → 163

Calls

4 calls:

13.0ms	(/ y (+ z y))
15.0ms	(exp (* y (log (/ y (+ z y)))))
17.0ms	(* y (log (/ y (+ z y))))
5.0ms	(log (/ y (+ z y)))

series458.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(/ y (+ z y))
262.0ms	(exp (* y (log (/ y (+ z y)))))
97.0ms	(* y (log (/ y (+ z y))))
51.0ms	(log (/ y (+ z y)))

simplify1.5s

Counts

175 → 175

Iterations

Iter	Nodes
done	5000
2	2339
1	593
0	248

prune1.0s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize113.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
4.7b	(log (/ (cbrt y) (cbrt (+ z y))))
4.9b	(log (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ z y)) (cbrt (+ z y)))))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

61×	`log-prod`
51×	`cbrt-prod`
46×	`*-un-lft-identity`
43×	`times-frac`
34×	`add-sqr-sqrt` `add-cube-cbrt`
20×	`add-exp-log`
14×	`cbrt-div`
10×	`associate-/r/`
7×	`flip3-+` `rem-log-exp` `flip-+`
6×	`pow1` `distribute-lft-out`
5×	`div-exp`
4×	`frac-times` `add-cbrt-cube` `prod-exp` `add-log-exp`
2×	`log-div` `pow1/3` `associate-l/` `associate-r/` `log-pow` `div-inv`

Counts

4 → 108

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
15.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
41.0ms	(log (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ z y)) (cbrt (+ z y)))))

series844.0ms

Counts

4 → 12

Calls

4 calls:

323.0ms	(cbrt y)
282.0ms	(cbrt y)
106.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
133.0ms	(log (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ z y)) (cbrt (+ z y)))))

simplify1.2s

Counts

120 → 120

Iterations

Iter	Nodes
done	5000
2	1197
1	464
0	229

prune1.1s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite50.0ms

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:

29.0ms	(+ x (/ (exp (- z)) y))
20.0ms	(/ (exp (- z)) y)

series79.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(+ x (/ (exp (- z)) y))
37.0ms	(/ (exp (- z)) y)

simplify901.0ms

Counts

47 → 47

Iterations

Iter	Nodes
done	5000
2	754
1	192
0	85

prune259.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (/ (sqrt (exp (- z))) (cbrt y)) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

492×	`times-frac`
264×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
258×	`cbrt-prod`
126×	`sqrt-prod`
40×	`associate-/l*`
9×	`add-exp-log`
8×	`div-inv`
6×	`associate-/r*` `add-cbrt-cube`
4×	`pow1` `add-log-exp`
3×	`cbrt-undiv` `pow1/3` `div-exp`
1×	`clear-num` `frac-2neg` `associate-/l/`

Counts

4 → 334

Calls

4 calls:

48.0ms	(/ (/ (sqrt (exp (- z))) (cbrt y)) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series947.0ms

Counts

4 → 12

Calls

4 calls:

162.0ms	(/ (/ (sqrt (exp (- z))) (cbrt y)) (cbrt y))
256.0ms	(cbrt y)
251.0ms	(cbrt y)
278.0ms	(cbrt y)

simplify978.0ms

Counts

346 → 346

Iterations

Iter	Nodes
done	5001
1	1013
0	417

prune2.0s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes240.0ms

Accuracy

0% (1.5b remaining)

Error of 2.1b against oracle of 0.6b and baseline of 2.1b

bsearch0.0ms

simplify8.0ms

Iterations

Iter	Nodes
done	24
1	24
0	19

end0.0ms

sample3.5s

Algorithm

intervals

Results

737.0ms	792×	body	1280	valid
631.0ms	6482×	body	80	valid
594.0ms	597×	body	320	valid
498.0ms	969×	body	640	valid
240.0ms	2977×	body	80	nan
107.0ms	341×	body	160	valid