Details

sample48.0ms

Algorithm

intervals

Results

10.0ms	201×	body	80	valid
9.0ms	35×	body	640	valid
9.0ms	20×	body	1280	valid
3.0ms	17×	body	320	valid
3.0ms	79×	body	80	nan
1.0ms	8×	body	160	valid

simplify1.8s

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	112	11
5	290	11
6	691	11
7	3439	11
done	5000	11

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.2b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (pow (/ y (+ z y)) y) y))
0.0b	(/ y (+ z y))
4.9b	(pow (/ y (+ z y)) y)

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

38×	`*-un-lft-identity`
24×	`times-frac`
22×	`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×	`expm1-log1p-u` `pow-unpow` `fma-def` `flip3-+` `flip-+` `log1p-expm1-u` `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 → 87

Calls

3 calls:

41.0ms	(+ x (/ (pow (/ y (+ z y)) y) y))
9.0ms	(/ y (+ z y))
7.0ms	(pow (/ y (+ z y)) y)

series336.0ms

Counts

3 → 9

Calls

3 calls:

68.0ms	(+ x (/ (pow (/ y (+ z y)) y) y))
42.0ms	(/ y (+ z y))
226.0ms	(pow (/ y (+ z y)) y)

simplify621.0ms

Counts

96 → 96

Iterations

Useful iterations: 2 (128.0ms)

Iter	Nodes	Cost
0	164	1143
1	417	1072
2	1527	1017
done	5000	1017

prune227.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.3b

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ z y))
0.5b	(cbrt (+ z y))
1.0b	(pow (/ (cbrt y) (cbrt (+ z y))) y)
1.5b	(pow (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ z y)) (cbrt (+ z y)))) y)

rewrite39.0ms

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:

2.0ms	(cbrt (+ z y))
2.0ms	(cbrt (+ z y))
12.0ms	(pow (/ (cbrt y) (cbrt (+ z y))) y)
17.0ms	(pow (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ z y)) (cbrt (+ z y)))) y)

series783.0ms

Counts

4 → 12

Calls

4 calls:

126.0ms	(cbrt (+ z y))
129.0ms	(cbrt (+ z y))
259.0ms	(pow (/ (cbrt y) (cbrt (+ z y))) y)
268.0ms	(pow (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ z y)) (cbrt (+ z y)))) y)

simplify746.0ms

Counts

142 → 142

Iterations

Useful iterations: 2 (216.0ms)

Iter	Nodes	Cost
0	314	2587
1	740	2429
2	2244	2176
done	5000	2176

prune511.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ z y))
0.5b	(cbrt (+ z y))
1.0b	(pow (/ (cbrt y) (cbrt (+ z y))) y)
3.8b	(log (/ (cbrt y) (cbrt (+ z y))))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

98×	`cbrt-prod`
89×	`*-un-lft-identity`
84×	`times-frac`
61×	`add-sqr-sqrt` `add-cube-cbrt`
48×	`unpow-prod-down` `log-prod`
14×	`distribute-lft-out`
10×	`add-exp-log`
8×	`cbrt-div`
6×	`pow1`
4×	`expm1-log1p-u` `flip3-+` `associate-/r/` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow`
2×	`pow1/3` `div-exp` `rem-log-exp` `pow-exp` `div-inv`
1×	`pow-to-exp` `log-div` `pow-pow` `log-pow` `sqr-pow`

Counts

4 → 158

Calls

4 calls:

2.0ms	(cbrt (+ z y))
2.0ms	(cbrt (+ z y))
15.0ms	(pow (/ (cbrt y) (cbrt (+ z y))) y)
6.0ms	(log (/ (cbrt y) (cbrt (+ z y))))

series581.0ms

Counts

4 → 12

Calls

4 calls:

131.0ms	(cbrt (+ z y))
122.0ms	(cbrt (+ z y))
255.0ms	(pow (/ (cbrt y) (cbrt (+ z y))) y)
73.0ms	(log (/ (cbrt y) (cbrt (+ z y))))

simplify868.0ms

Counts

170 → 170

Iterations

Useful iterations: 2 (377.0ms)

Iter	Nodes	Cost
0	293	2735
1	653	2599
2	1903	2468
done	5000	2468

prune653.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

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:

7.0ms	(+ x (/ (exp (- z)) y))
6.0ms	(/ (exp (- z)) y)

series42.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify1.3s

Counts

54 → 54

Iterations

Useful iterations: 3 (222.0ms)

Iter	Nodes	Cost
0	89	496
1	188	468
2	545	439
3	2636	437
done	5001	437

prune112.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

regimes43.0ms

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 (0.0ms)

Iter	Nodes	Cost
0	16	27
1	21	27
done	21	27

end0.0ms

sample1.5s

Algorithm

intervals

Results

338.0ms	6624×	body	80	valid
335.0ms	734×	body	1280	valid
248.0ms	917×	body	640	valid
107.0ms	2961×	body	80	nan
106.0ms	568×	body	320	valid
35.0ms	313×	body	160	valid