Details

sample84.0ms

Algorithm

intervals

Results

19.0ms	227×	body	80	valid
17.0ms	23×	body	1280	valid
10.0ms	22×	body	640	valid
7.0ms	107×	body	80	nan
3.0ms	10×	body	320	valid
1.0ms	6×	body	160	valid

simplify1.4s

Counts

1 → 1

Iterations

Useful iterations: 2 (8.0ms)

Iter	Nodes	Cost
0	10	13
1	18	13
2	27	11
3	55	11
4	154	11
5	508	11
6	2085	11
done	5001	11

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.6b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (pow (/ y (+ z y)) y) y)
0.0b	(+ x (/ (pow (/ y (+ z y)) y) y))
0.0b	(/ y (+ z y))
6.8b	(pow (/ y (+ z y)) y)

rewrite178.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
122×	`*-un-lft-identity`
90×	`unpow-prod-down`
82×	`add-sqr-sqrt` `add-cube-cbrt`
25×	`associate-/l*`
20×	`distribute-lft-out`
17×	`add-exp-log`
12×	`associate-/r/`
8×	`add-cbrt-cube`
7×	`flip3-+` `div-exp` `associate-/r*` `flip-+` `div-inv`
6×	`add-log-exp`
5×	`pow1` `sqr-pow`
4×	`expm1-log1p-u` `pow-exp` `log1p-expm1-u`
3×	`pow-unpow` `fma-def`
2×	`cbrt-undiv` `pow-to-exp` `frac-2neg` `clear-num`
1×	`+-commutative` `pow-pow` `sum-log`

Counts

4 → 195

Calls

4 calls:

63.0ms	(/ (pow (/ y (+ z y)) y) y)
74.0ms	(+ x (/ (pow (/ y (+ z y)) y) y))
11.0ms	(/ y (+ z y))
19.0ms	(pow (/ y (+ z y)) y)

series578.0ms

Counts

4 → 12

Calls

4 calls:

166.0ms	(/ (pow (/ y (+ z y)) y) y)
82.0ms	(+ x (/ (pow (/ y (+ z y)) y) y))
63.0ms	(/ y (+ z y))
266.0ms	(pow (/ y (+ z y)) y)

simplify1.9s

Counts

207 → 207

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	308	3208
1	744	2995
2	3205	2927
done	5001	2925

prune874.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.3b

localize41.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ z y))
0.6b	(cbrt (+ z y))
0.7b	(pow (/ (cbrt y) (cbrt (+ z y))) y)
1.5b	(pow (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ z y)) (cbrt (+ z y)))) y)

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

61×	`unpow-prod-down`
53×	`cbrt-prod`
52×	`*-un-lft-identity`
43×	`times-frac`
36×	`add-sqr-sqrt` `add-cube-cbrt`
20×	`add-exp-log`
18×	`cbrt-div`
10×	`associate-/r/`
9×	`flip3-+` `flip-+`
8×	`distribute-lft-out`
7×	`pow-exp`
6×	`pow1` `pow-unpow`
5×	`div-exp`
4×	`expm1-log1p-u` `frac-times` `prod-exp` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-to-exp` `pow-pow` `pow1/3` `associate-r/` `associate-l/` `div-inv` `sqr-pow`

Counts

4 → 130

Calls

4 calls:

4.0ms	(cbrt (+ z y))
7.0ms	(cbrt (+ z y))
31.0ms	(pow (/ (cbrt y) (cbrt (+ z y))) y)
46.0ms	(pow (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ z y)) (cbrt (+ z y)))) y)

series1.2s

Counts

4 → 12

Calls

4 calls:

191.0ms	(cbrt (+ z y))
205.0ms	(cbrt (+ z y))
370.0ms	(pow (/ (cbrt y) (cbrt (+ z y))) y)
387.0ms	(pow (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ z y)) (cbrt (+ z y)))) y)

simplify2.2s

Counts

142 → 142

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	314	2587
1	1017	2403
2	3395	2260
done	5000	2204

prune974.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ z y))
0.7b	(pow (/ (cbrt y) (cbrt (+ z y))) y)
0.7b	(pow (/ (cbrt y) (cbrt (+ z y))) y)
0.7b	(pow (/ (cbrt y) (cbrt (+ z y))) y)

rewrite136.0ms

Algorithm

rewrite-expression-head

Rules

144×	`unpow-prod-down`
139×	`cbrt-prod`
127×	`*-un-lft-identity`
126×	`times-frac`
89×	`add-sqr-sqrt` `add-cube-cbrt`
19×	`distribute-lft-out`
13×	`add-exp-log`
9×	`pow-unpow`
8×	`cbrt-div`
7×	`pow1`
6×	`pow-exp` `associate-/r/`
4×	`expm1-log1p-u` `flip3-+` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `add-log-exp`
3×	`pow-to-exp` `pow-pow` `div-exp` `div-inv` `sqr-pow`
1×	`pow1/3`

Counts

4 → 211

Calls

4 calls:

9.0ms	(cbrt (+ z y))
40.0ms	(pow (/ (cbrt y) (cbrt (+ z y))) y)
40.0ms	(pow (/ (cbrt y) (cbrt (+ z y))) y)
20.0ms	(pow (/ (cbrt y) (cbrt (+ z y))) y)

series1.6s

Counts

4 → 12

Calls

4 calls:

218.0ms	(cbrt (+ z y))
486.0ms	(pow (/ (cbrt y) (cbrt (+ z y))) y)
429.0ms	(pow (/ (cbrt y) (cbrt (+ z y))) y)
420.0ms	(pow (/ (cbrt y) (cbrt (+ z y))) y)

simplify1.4s

Counts

223 → 223

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	225	4104
1	704	3826
2	2366	3737
done	5001	3733

prune1.3s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity`
11×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`times-frac`
4×	`add-cbrt-cube` `add-log-exp`
3×	`add-exp-log` `fma-def` `associate-/r` `associate-/l`
2×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `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 → 48

Calls

2 calls:

25.0ms	(/ (exp (- z)) y)
38.0ms	(+ x (/ (exp (- z)) y))

series59.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(/ (exp (- z)) y)
30.0ms	(+ x (/ (exp (- z)) y))

simplify701.0ms

Counts

54 → 54

Iterations

Useful iterations: done (698.0ms)

Iter	Nodes	Cost
0	89	496
1	199	468
2	767	442
done	5000	437

prune346.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes158.0ms

Accuracy

0% (1.0b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 1.1b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	33
1	14	33
done	14	33

end0.0ms

sample3.4s

Algorithm

intervals

Results

1.2s	787×	body	1280	valid
714.0ms	6576×	body	80	valid
429.0ms	960×	body	640	valid
250.0ms	2957×	body	80	nan
155.0ms	524×	body	320	valid
59.0ms	320×	body	160	valid