Details

sample86.0ms

Algorithm

intervals

Results

21.0ms	33×	body	1280	valid
16.0ms	207×	body	80	valid
10.0ms	21×	body	640	valid
6.0ms	108×	body	80	nan
6.0ms	20×	body	320	valid
2.0ms	10×	body	160	valid

simplify1.2s

Counts

1 → 1

Iterations

Useful iterations: 2 (10.0ms)

Iter	Nodes	Cost
0	10	13
1	18	13
2	27	11
3	55	11
4	152	11
5	489	11
6	1976	11
done	5001	11

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.6b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ y (+ z y))
0.0b	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
0.1b	(* y (log (/ y (+ z y))))
9.9b	(log (/ y (+ z y)))

rewrite196.0ms

Algorithm

rewrite-expression-head

Rules

67×	`*-un-lft-identity`
54×	`log-prod`
48×	`times-frac`
41×	`add-sqr-sqrt`
39×	`add-cube-cbrt`
18×	`distribute-rgt-in` `distribute-lft-in`
14×	`distribute-lft-out`
11×	`add-exp-log`
8×	`pow1` `associate-/r/` `add-cbrt-cube`
6×	`add-log-exp`
5×	`flip3-+` `flip-+`
4×	`associate-r` `associate-/r*` `div-inv`
3×	`associate-l` `associate-/l*`
2×	`div-exp` `rem-log-exp` `log-pow`
1×	`cbrt-undiv` `+-commutative` `log-div` `frac-2neg` `pow-prod-down` `prod-exp` `clear-num` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 129

Calls

4 calls:

21.0ms	(/ y (+ z y))
113.0ms	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
40.0ms	(* y (log (/ y (+ z y))))
10.0ms	(log (/ y (+ z y)))

series347.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(/ y (+ z y))
115.0ms	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
118.0ms	(* y (log (/ y (+ z y))))
69.0ms	(log (/ y (+ z y)))

simplify661.0ms

Counts

141 → 141

Iterations

Useful iterations: done (655.0ms)

Iter	Nodes	Cost
0	199	1893
1	451	1790
2	1298	1645
done	5001	1600

prune447.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize45.0ms

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))))

rewrite54.0ms

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` `rem-log-exp` `associate-/r/` `add-cbrt-cube` `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)
10.0ms	(cbrt y)
18.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
18.0ms	(log (/ (cbrt y) (cbrt (+ z y))))

series710.0ms

Counts

4 → 12

Calls

4 calls:

262.0ms	(cbrt y)
260.0ms	(cbrt y)
88.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
99.0ms	(log (/ (cbrt y) (cbrt (+ z y))))

simplify1.4s

Counts

152 → 152

Iterations

Useful iterations: 3 (547.0ms)

Iter	Nodes	Cost
0	173	2258
1	318	2100
2	784	2014
3	3164	1940
done	5002	1940

prune869.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite36.0ms

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×	`add-exp-log` `associate-/r` `associate-/l`
2×	`pow1` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `neg-sub0` `exp-neg` `frac-2neg` `flip3-+` `exp-diff` `div-exp` `clear-num` `sum-log` `flip-+` `div-inv` `distribute-lft-out`

Counts

2 → 41

Calls

2 calls:

14.0ms	(+ x (/ (exp (- z)) y))
21.0ms	(/ (exp (- z)) y)

series48.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(+ x (/ (exp (- z)) y))
23.0ms	(/ (exp (- z)) y)

simplify568.0ms

Counts

47 → 47

Iterations

Useful iterations: done (566.0ms)

Iter	Nodes	Cost
0	85	468
1	192	441
2	713	414
done	5000	412

prune167.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* y (exp z))
0.0b	(+ x (/ (exp 0) (* y (exp z))))
0.0b	(/ (exp 0) (* y (exp z)))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-cbrt-cube`
9×	`add-sqr-sqrt` `*-un-lft-identity`
7×	`add-cube-cbrt`
6×	`add-exp-log`
5×	`pow1` `add-log-exp`
3×	`times-frac` `associate-r` `associate-l` `associate-/l*`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
1×	`+-commutative` `frac-2neg` `flip3-+` `pow-prod-down` `clear-num` `associate-/r` `sum-log` `-commutative` `flip-+` `div-inv` `distribute-lft-out` `unswap-sqr`

Counts

3 → 51

Calls

3 calls:

12.0ms	(* y (exp z))
27.0ms	(+ x (/ (exp 0) (* y (exp z))))
21.0ms	(/ (exp 0) (* y (exp z)))

series126.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(* y (exp z))
50.0ms	(+ x (/ (exp 0) (* y (exp z))))
39.0ms	(/ (exp 0) (* y (exp z)))

simplify802.0ms

Counts

60 → 60

Iterations

Useful iterations: done (799.0ms)

Iter	Nodes	Cost
0	101	599
1	255	505
2	1054	445
done	5000	413

prune194.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes101.0ms

Accuracy

0% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 0.9b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	28
1	22	28
done	22	28

end0.0ms

sample3.2s

Algorithm

intervals

Results

1.2s	6565×	body	80	valid
551.0ms	763×	body	1280	valid
466.0ms	931×	body	640	valid
213.0ms	3099×	body	80	nan
154.0ms	556×	body	320	valid
52.0ms	294×	body	160	valid