Details

sample50.0ms

Algorithm

intervals

Results

10.0ms	41×	body	640	valid
9.0ms	207×	body	80	valid
8.0ms	17×	body	1280	valid
3.0ms	18×	body	320	valid
3.0ms	88×	body	80	nan
1.0ms	10×	body	160	valid

simplify112.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	18	7
1	27	7
2	54	7
3	109	7
4	307	7
5	777	7
6	4145	7
7	5002	7
done	5002	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.2b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
0.0b	(/ (exp (* y (log (/ y (+ z y))))) y)
0.2b	(* y (log (/ y (+ z y))))
7.3b	(log (/ y (+ z y)))

rewrite193.0ms

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:

85.0ms	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
57.0ms	(/ (exp (* y (log (/ y (+ z y))))) y)
20.0ms	(* y (log (/ y (+ z y))))
6.0ms	(log (/ y (+ z y)))

series332.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
124.0ms	(/ (exp (* y (log (/ y (+ z y))))) y)
81.0ms	(* y (log (/ y (+ z y))))
49.0ms	(log (/ y (+ z y)))

simplify75.0ms

Counts

279 → 279

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	852	3026
1	2649	2601
2	5001	2592
done	5001	2592

prune573.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

3×	`*-un-lft-identity` `add-log-exp`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `flip3-+` `sum-log` `add-cbrt-cube` `flip-+` `distribute-lft-out`

Counts

1 → 12

Calls

1 calls:

11.0ms

(+ x (/ (exp 0) y))

series15.0ms

Counts

1 → 3

Calls

1 calls:

15.0ms

(+ x (/ (exp 0) y))

simplify128.0ms

Counts

15 → 15

Iterations

Useful iterations: 4 (49.0ms)

Iter	Nodes	Cost
0	79	74
1	253	61
2	706	60
3	1632	58
4	4894	57
5	5001	57
done	5001	57

prune34.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ (exp (* -1 z)) y)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
3×	`associate-/r` `add-cbrt-cube` `associate-/l`
2×	`add-exp-log`
1×	`pow1` `cbrt-undiv` `exp-neg` `frac-2neg` `mul-1-neg` `div-exp` `clear-num` `div-inv` `associate-/l/` `add-log-exp`

Counts

1 → 28

Calls

1 calls:

9.0ms

(/ (exp (* -1 z)) y)

series20.0ms

Counts

1 → 3

Calls

1 calls:

20.0ms

(/ (exp (* -1 z)) y)

simplify49.0ms

Counts

31 → 31

Iterations

Useful iterations: 2 (12.0ms)

Iter	Nodes	Cost
0	114	186
1	303	172
2	1465	170
3	5003	170
done	5003	170

prune78.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (cbrt (/ (pow (pow (/ y (+ z y)) y) 3) (pow y 3))))
0.3b	(/ (pow (pow (/ y (+ z y)) y) 3) (pow y 3))
5.8b	(pow (/ y (+ z y)) y)
37.6b	(cbrt (/ (pow (pow (/ y (+ z y)) y) 3) (pow y 3)))

rewrite663.0ms

Algorithm

rewrite-expression-head

Rules

1812×	`times-frac`
1771×	`unpow-prod-down`
1100×	`*-un-lft-identity`
853×	`cube-prod`
792×	`add-sqr-sqrt` `add-cube-cbrt`
604×	`cbrt-prod`
177×	`sqr-pow`
154×	`distribute-lft-out`
126×	`cube-mult` `unpow3`
102×	`associate-/r/`
53×	`div-inv`
52×	`flip3-+` `flip-+`
50×	`associate-/l*`
34×	`add-exp-log`
26×	`pow-exp`
22×	`div-exp`
13×	`pow-to-exp`
12×	`associate-/r*`
6×	`add-cbrt-cube` `add-log-exp`
5×	`pow1`
3×	`pow-unpow`
1×	`cbrt-undiv` `+-commutative` `cbrt-div` `pow-pow` `frac-2neg` `pow1/3` `clear-num` `sum-log`

Counts

4 → 1349

Calls

4 calls:

331.0ms	(+ x (cbrt (/ (pow (pow (/ y (+ z y)) y) 3) (pow y 3))))
105.0ms	(/ (pow (pow (/ y (+ z y)) y) 3) (pow y 3))
14.0ms	(pow (/ y (+ z y)) y)
70.0ms	(cbrt (/ (pow (pow (/ y (+ z y)) y) 3) (pow y 3)))

series833.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(+ x (cbrt (/ (pow (pow (/ y (+ z y)) y) 3) (pow y 3))))
346.0ms	(/ (pow (pow (/ y (+ z y)) y) 3) (pow y 3))
229.0ms	(pow (/ y (+ z y)) y)
169.0ms	(cbrt (/ (pow (pow (/ y (+ z y)) y) 3) (pow y 3)))

simplify214.0ms

Counts

1361 → 1361

Iterations

Useful iterations: 1 (30.0ms)

Iter	Nodes	Cost
0	1622	18579
1	5002	18191
done	5002	18191

prune1.5s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes63.0ms

Accuracy

91.1% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 2.2b

bsearch94.0ms

Steps

Iters	Range		Point
10	2.142008608447194e-19	4.5561658934541904e-07	4.5085108853577414e-07
10	-9.15937870925839e+18	-39225815.06640257	-16812707776681.508

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	7
1	26	7
done	26	7

end0.0ms

sample1.5s

Algorithm

intervals

Results

341.0ms	783×	body	1280	valid
292.0ms	6492×	body	80	valid
236.0ms	956×	body	640	valid
97.0ms	2941×	body	80	nan
91.0ms	545×	body	320	valid
32.0ms	317×	body	160	valid