Details

sample93.0ms

Algorithm

intervals

Results

20.0ms	205×	body	80	valid
20.0ms	26×	body	1280	valid
13.0ms	31×	body	640	valid
6.0ms	81×	body	80	nan
5.0ms	19×	body	320	valid
1.0ms	7×	body	160	valid

simplify1.0s

Counts

1 → 1

Iterations

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

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.9b

localize30.0ms

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)))

rewrite76.0ms

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×	`associate-l` `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 → 117

Calls

3 calls:

18.0ms	(/ y (+ z y))
33.0ms	(* y (log (/ y (+ z y))))
10.0ms	(log (/ y (+ z y)))

series248.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(/ y (+ z y))
119.0ms	(* y (log (/ y (+ z y))))
86.0ms	(log (/ y (+ z y)))

simplify587.0ms

Counts

126 → 126

Iterations

Iter	Nodes
done	5001
2	1041
1	363
0	167

prune494.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize53.0ms

Local error

Found 4 expressions with local error:

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

rewrite35.0ms

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×	`cbrt-div` `add-cbrt-cube` `rem-log-exp` `associate-/r/` `add-log-exp`
2×	`log-div` `flip3-+` `pow1/3` `div-exp` `log-pow` `flip-+` `div-inv`

Counts

4 → 140

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
8.0ms	(log (/ (cbrt y) (cbrt (+ y z))))
20.0ms	(log (/ (cbrt y) (cbrt (+ y z))))

series844.0ms

Counts

4 → 12

Calls

4 calls:

330.0ms	(cbrt y)
280.0ms	(cbrt y)
131.0ms	(log (/ (cbrt y) (cbrt (+ y z))))
104.0ms	(log (/ (cbrt y) (cbrt (+ y z))))

simplify1.3s

Counts

152 → 152

Iterations

Iter	Nodes
done	5003
3	3132
2	778
1	318
0	173

prune1.4s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.2b

localize49.0ms

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)) (/ (+ y z) (cbrt y))))

rewrite16.0ms

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×	`add-cbrt-cube` `add-log-exp`
3×	`pow1/3`
2×	`prod-exp` `div-inv`
1×	`log-div` `associate-/r/` `log-pow`

Counts

4 → 80

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
11.0ms	(log (/ (* (cbrt y) (cbrt y)) (/ (+ y z) (cbrt y))))

series966.0ms

Counts

4 → 12

Calls

4 calls:

319.0ms	(cbrt y)
302.0ms	(cbrt y)
261.0ms	(cbrt y)
84.0ms	(log (/ (* (cbrt y) (cbrt y)) (/ (+ y z) (cbrt y))))

simplify1.2s

Counts

92 → 92

Iterations

Iter	Nodes
done	5001
2	1727
1	337
0	155

prune594.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.2b

regimes144.0ms

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	20
1	20
0	15

end0.0ms

sample3.5s

Algorithm

intervals

Results

1.1s	793×	body	1280	valid
781.0ms	6550×	body	80	valid
475.0ms	948×	body	640	valid
254.0ms	3021×	body	80	nan
220.0ms	583×	body	320	valid
61.0ms	307×	body	160	valid