Details

sample75.0ms

Algorithm

intervals

Results

17.0ms	26×	body	1280	valid
15.0ms	205×	body	80	valid
11.0ms	31×	body	640	valid
5.0ms	19×	body	320	valid
5.0ms	81×	body	80	nan
1.0ms	7×	body	160	valid

simplify1.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
6	2094
5	507
4	152
3	54
2	27
1	18
0	10

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.9b

localize36.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ y (+ z y))
0.1b	(* y (log (/ y (+ z y))))
9.1b	(log (/ y (+ z y)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

64×	`*-un-lft-identity`
54×	`log-prod`
48×	`times-frac`
40×	`add-sqr-sqrt`
38×	`add-cube-cbrt`
18×	`distribute-rgt-in` `distribute-lft-in`
13×	`distribute-lft-out`
10×	`add-exp-log`
8×	`associate-/r/`
7×	`pow1` `add-cbrt-cube`
4×	`associate-/r` `flip3-+` `associate-r*` `flip-+` `div-inv`
3×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `associate-/l*` `add-log-exp`
2×	`div-exp` `rem-log-exp` `log-pow`
1×	`cbrt-undiv` `log-div` `clear-num` `frac-2neg` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 123

Calls

3 calls:

9.0ms	(/ y (+ z y))
17.0ms	(* y (log (/ y (+ z y))))
7.0ms	(log (/ y (+ z y)))

series239.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(/ y (+ z y))
122.0ms	(* y (log (/ y (+ z y))))
67.0ms	(log (/ y (+ z y)))

simplify581.0ms

Counts

132 → 132

Iterations

Iter	Nodes
done	5001
2	1066
1	372
0	173

prune679.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize51.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
3.8b	(log (/ (cbrt y) (cbrt (+ z y))))
3.8b	(log (/ (cbrt y) (cbrt (+ z y))))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

96×	`cbrt-prod` `log-prod`
84×	`*-un-lft-identity` `times-frac`
60×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`distribute-lft-out`
10×	`add-exp-log`
6×	`pow1`
4×	`expm1-log1p-u` `cbrt-div` `add-cbrt-cube` `rem-log-exp` `associate-/r/` `log1p-expm1-u` `add-log-exp`
2×	`log-div` `flip3-+` `pow1/3` `div-exp` `log-pow` `flip-+` `div-inv`

Counts

4 → 148

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
8.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
8.0ms	(log (/ (cbrt y) (cbrt (+ z y))))

series810.0ms

Counts

4 → 12

Calls

4 calls:

319.0ms	(cbrt y)
246.0ms	(cbrt y)
117.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
127.0ms	(log (/ (cbrt y) (cbrt (+ z y))))

simplify1.3s

Counts

160 → 160

Iterations

Iter	Nodes
done	5000
3	3185
2	799
1	325
0	177

prune1.4s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.2b

localize39.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
32.4b	(log (/ (* (cbrt y) (cbrt y)) (/ (+ z y) (cbrt y))))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

52×	`times-frac`
35×	`*-un-lft-identity`
33×	`log-prod`
23×	`add-sqr-sqrt` `add-cube-cbrt`
21×	`cbrt-prod`
17×	`add-exp-log`
6×	`div-exp` `distribute-lft-out`
5×	`pow1` `rem-log-exp`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
2×	`prod-exp` `div-inv`
1×	`log-div` `associate-/r/` `log-pow`

Counts

4 → 88

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
17.0ms	(log (/ (* (cbrt y) (cbrt y)) (/ (+ z y) (cbrt y))))

series895.0ms

Counts

4 → 12

Calls

4 calls:

257.0ms	(cbrt y)
274.0ms	(cbrt y)
259.0ms	(cbrt y)
105.0ms	(log (/ (* (cbrt y) (cbrt y)) (/ (+ z y) (cbrt y))))

simplify1.1s

Counts

100 → 100

Iterations

Iter	Nodes
done	5000
2	1776
1	341
0	159

prune606.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.2b

regimes214.0ms

Accuracy

0% (0.4b remaining)

Error of 1.2b against oracle of 0.8b and baseline of 1.2b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	22
1	22
0	16

end0.0ms

sample3.1s

Algorithm

intervals

Results

952.0ms	6550×	body	80	valid
630.0ms	793×	body	1280	valid
433.0ms	948×	body	640	valid
335.0ms	3021×	body	80	nan
159.0ms	583×	body	320	valid
51.0ms	307×	body	160	valid