Details

sample67.0ms

Algorithm

intervals

Results

13.0ms	206×	body	80	valid
12.0ms	38×	body	640	valid
10.0ms	21×	body	1280	valid
5.0ms	22×	body	320	valid
4.0ms	95×	body	80	nan
1.0ms	10×	body	160	valid

simplify1.0s

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.9b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (exp (* y (log (/ y (+ z y))))) y)
0.0b	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
0.1b	(* y (log (/ y (+ z y))))
9.0b	(log (/ y (+ z y)))

rewrite187.0ms

Algorithm

rewrite-expression-head

Rules

249×	`times-frac`
206×	`*-un-lft-identity`
198×	`log-prod`
144×	`exp-sum`
140×	`add-sqr-sqrt`
138×	`add-cube-cbrt`
90×	`distribute-rgt-in` `distribute-lft-in`
39×	`associate-/l*`
34×	`distribute-lft-out`
22×	`associate-/r/`
12×	`flip3-+` `flip-+` `div-inv`
10×	`add-exp-log`
8×	`pow1` `add-cbrt-cube`
6×	`add-log-exp`
4×	`associate-r`
3×	`associate-l` `associate-/r*`
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 → 267

Calls

4 calls:

53.0ms	(/ (exp (* y (log (/ y (+ z y))))) y)
82.0ms	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
26.0ms	(* y (log (/ y (+ z y))))
7.0ms	(log (/ y (+ z y)))

series433.0ms

Counts

4 → 12

Calls

4 calls:

173.0ms	(/ (exp (* y (log (/ y (+ z y))))) y)
103.0ms	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
100.0ms	(* y (log (/ y (+ z y))))
56.0ms	(log (/ y (+ z y)))

simplify1.8s

Counts

279 → 279

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	480	5533
1	916	4983
2	3156	4478
done	5000	4472

prune810.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
3.6b	(log (/ (cbrt y) (cbrt (+ z y))))
4.5b	(log (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ z y)) (cbrt (+ z y)))))

rewrite50.0ms

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

Counts

4 → 108

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
9.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
27.0ms	(log (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ z y)) (cbrt (+ z y)))))

series701.0ms

Counts

4 → 12

Calls

4 calls:

236.0ms	(cbrt y)
250.0ms	(cbrt y)
99.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
116.0ms	(log (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ z y)) (cbrt (+ z y)))))

simplify519.0ms

Counts

120 → 120

Iterations

Useful iterations: done (514.0ms)

Iter	Nodes	Cost
0	229	1830
1	464	1729
2	1214	1547
done	5000	1464

prune649.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
3.6b	(log (/ (cbrt y) (cbrt (+ z y))))
3.6b	(log (/ (cbrt y) (cbrt (+ z y))))
3.6b	(log (/ (cbrt y) (cbrt (+ z y))))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 188

Calls

4 calls:

1.0ms	(cbrt y)
9.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
9.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
16.0ms	(log (/ (cbrt y) (cbrt (+ z y))))

series556.0ms

Counts

4 → 12

Calls

4 calls:

272.0ms	(cbrt y)
111.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
85.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
88.0ms	(log (/ (cbrt y) (cbrt (+ z y))))

simplify1.2s

Counts

200 → 200

Iterations

Useful iterations: 3 (459.0ms)

Iter	Nodes	Cost
0	173	3257
1	318	3028
2	784	2911
3	3164	2806
done	5002	2806

prune962.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite27.0ms

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))
12.0ms	(/ (exp (- z)) y)

series76.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(+ x (/ (exp (- z)) y))
26.0ms	(/ (exp (- z)) y)

simplify649.0ms

Counts

47 → 47

Iterations

Useful iterations: done (647.0ms)

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

prune155.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

regimes71.0ms

Accuracy

0% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.0b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	33
1	18	33
done	18	33

end0.0ms

sample3.4s

Algorithm

intervals

Results

767.0ms	6600×	body	80	valid
627.0ms	3038×	body	80	nan
604.0ms	776×	body	1280	valid
473.0ms	873×	body	640	valid
217.0ms	589×	body	320	valid
68.0ms	339×	body	160	valid