Details

sample50.0ms

Algorithm

intervals

Results

13.0ms	28×	body	1280	valid
10.0ms	206×	body	80	valid
8.0ms	33×	body	640	valid
3.0ms	17×	body	320	valid
3.0ms	81×	body	80	nan
1.0ms	12×	body	160	valid

simplify1.9s

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	10	13
1	18	13
2	27	11
3	54	11
4	103	11
5	240	11
6	568	11
7	1656	11
done	5000	11

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.1b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (pow (/ y (+ z y)) y) y))
0.0b	(/ y (+ z y))
5.1b	(pow (/ y (+ z y)) y)

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

37×	`*-un-lft-identity`
24×	`times-frac`
21×	`add-sqr-sqrt` `add-cube-cbrt`
18×	`unpow-prod-down`
8×	`add-exp-log` `distribute-lft-out`
5×	`add-cbrt-cube` `add-log-exp`
4×	`pow1` `associate-/r*` `associate-/r/`
3×	`pow-unpow` `flip3-+` `flip-+` `associate-/l*`
2×	`div-exp` `pow-exp` `div-inv`
1×	`cbrt-undiv` `+-commutative` `pow-to-exp` `pow-pow` `frac-2neg` `clear-num` `sum-log` `sqr-pow`

Counts

3 → 78

Calls

3 calls:

47.0ms	(+ x (/ (pow (/ y (+ z y)) y) y))
5.0ms	(/ y (+ z y))
8.0ms	(pow (/ y (+ z y)) y)

series345.0ms

Counts

3 → 9

Calls

3 calls:

74.0ms	(+ x (/ (pow (/ y (+ z y)) y) y))
38.0ms	(/ y (+ z y))
233.0ms	(pow (/ y (+ z y)) y)

simplify1.5s

Counts

87 → 87

Iterations

Useful iterations: 3 (598.0ms)

Iter	Nodes	Cost
0	158	1091
1	393	1024
2	990	970
3	2982	964
done	5001	964

prune187.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.3b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite8.0ms

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:

8.0ms

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

series24.0ms

Counts

1 → 3

Calls

1 calls:

24.0ms

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

simplify2.0s

Counts

15 → 15

Iterations

Useful iterations: 4 (421.0ms)

Iter	Nodes	Cost
0	38	169
1	102	162
2	233	148
3	589	147
4	1869	145
done	5000	145

prune39.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.3b

localize1.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify1.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune3.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.3b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (pow (/ 1 (* (cbrt (+ z y)) (cbrt (+ z y)))) y) (pow (/ y (cbrt (+ z y))) y))
0.6b	(cbrt (+ z y))
0.6b	(cbrt (+ z y))
0.6b	(cbrt (+ z y))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

92×	`add-exp-log`
72×	`unpow-prod-down`
70×	`add-sqr-sqrt`
48×	`prod-exp`
46×	`pow-exp`
44×	`times-frac`
42×	`*-un-lft-identity`
31×	`associate-r`
29×	`cbrt-prod`
25×	`add-cube-cbrt` `div-exp` `unswap-sqr`
20×	`cbrt-div`
19×	`associate-l`
13×	`pow-to-exp`
12×	`sqr-pow`
10×	`flip3-+` `associate-/r/` `flip-+`
8×	`rec-exp` `1-exp`
6×	`add-cbrt-cube` `distribute-lft-out`
4×	`pow1` `frac-times` `add-log-exp`
3×	`pow1/3`
2×	`associate-r/` `associate-l/` `div-inv`
1×	`pow-prod-down` `*-commutative` `cbrt-unprod`

Counts

4 → 163

Calls

4 calls:

80.0ms	(* (pow (/ 1 (* (cbrt (+ z y)) (cbrt (+ z y)))) y) (pow (/ y (cbrt (+ z y))) y))
2.0ms	(cbrt (+ z y))
2.0ms	(cbrt (+ z y))
2.0ms	(cbrt (+ z y))

series1.1s

Counts

4 → 12

Calls

4 calls:

715.0ms	(* (pow (/ 1 (* (cbrt (+ z y)) (cbrt (+ z y)))) y) (pow (/ y (cbrt (+ z y))) y))
124.0ms	(cbrt (+ z y))
125.0ms	(cbrt (+ z y))
124.0ms	(cbrt (+ z y))

simplify825.0ms

Counts

175 → 175

Iterations

Useful iterations: done (819.0ms)

Iter	Nodes	Cost
0	301	4058
1	690	3700
2	2147	3561
done	5000	3553

prune513.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.3b

regimes79.0ms

Accuracy

67.6% (1.5b remaining)

Error of 2.9b against oracle of 1.4b and baseline of 6.0b

bsearch104.0ms

Steps

Iters	Range		Point
8	4.863985370127422e-140	3.751532506820157e-137	3.711281227157836e-137
10	-1.8186532677649703e+19	-1.046355961971052	-7.547170526470774

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	24	48
1	33	42
done	33	42

end0.0ms

sample1.4s

Algorithm

intervals

Results

338.0ms	772×	body	1280	valid
304.0ms	6537×	body	80	valid
239.0ms	942×	body	640	valid
102.0ms	3056×	body	80	nan
90.0ms	552×	body	320	valid
36.0ms	330×	body	160	valid