Details

sample101.0ms

Algorithm

intervals

Results

20.0ms	28×	body	1280	valid
18.0ms	38×	body	640	valid
18.0ms	216×	body	80	valid
6.0ms	105×	body	80	nan
5.0ms	18×	body	320	valid
2.0ms	10×	body	160	valid

simplify1.9s

Counts

1 → 1

Iterations

Useful iterations: 2 (10.0ms)

Iter	Nodes	Cost
0	10	13
1	18	13
2	27	11
3	52	11
4	110	11
5	249	11
6	590	11
7	1855	11
done	5000	11

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.2b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ y (+ z y))
0.0b	(+ x (/ (pow (/ y (+ z y)) y) y))
6.3b	(pow (/ y (+ z y)) y)

rewrite148.0ms

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:

19.0ms	(/ y (+ z y))
96.0ms	(+ x (/ (pow (/ y (+ z y)) y) y))
28.0ms	(pow (/ y (+ z y)) y)

series485.0ms

Counts

3 → 9

Calls

3 calls:

64.0ms	(/ y (+ z y))
114.0ms	(+ x (/ (pow (/ y (+ z y)) y) y))
307.0ms	(pow (/ y (+ z y)) y)

simplify1.9s

Counts

96 → 96

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	164	1143
1	405	1072
2	1033	1017
3	3012	1012
done	5000	1011

prune267.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.5b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.7b	(pow (/ (cbrt y) (cbrt (+ z y))) y)
2.2b	(pow (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ z y)) (cbrt (+ z y)))) y)

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

61×	`unpow-prod-down`
51×	`cbrt-prod`
48×	`*-un-lft-identity`
43×	`times-frac`
36×	`add-sqr-sqrt` `add-cube-cbrt`
20×	`add-exp-log`
14×	`cbrt-div`
10×	`associate-/r/`
7×	`flip3-+` `pow-exp` `flip-+`
6×	`pow1` `pow-unpow` `distribute-lft-out`
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 → 124

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
22.0ms	(pow (/ (cbrt y) (cbrt (+ z y))) y)
29.0ms	(pow (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ z y)) (cbrt (+ z y)))) y)

series1.3s

Counts

4 → 12

Calls

4 calls:

250.0ms	(cbrt y)
272.0ms	(cbrt y)
341.0ms	(pow (/ (cbrt y) (cbrt (+ z y))) y)
400.0ms	(pow (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ z y)) (cbrt (+ z y)))) y)

simplify2.8s

Counts

136 → 136

Iterations

Useful iterations: done (2.8s)

Iter	Nodes	Cost
0	301	2387
1	693	2217
2	1534	1994
3	4582	1975
done	5000	1973

prune655.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.7b	(pow (/ (cbrt y) (cbrt (+ z y))) y)
2.8b	(log (/ (cbrt y) (cbrt (+ z y))))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 152

Calls

4 calls:

2.0ms	(cbrt y)
2.0ms	(cbrt y)
44.0ms	(pow (/ (cbrt y) (cbrt (+ z y))) y)
19.0ms	(log (/ (cbrt y) (cbrt (+ z y))))

series912.0ms

Counts

4 → 12

Calls

4 calls:

272.0ms	(cbrt y)
214.0ms	(cbrt y)
326.0ms	(pow (/ (cbrt y) (cbrt (+ z y))) y)
100.0ms	(log (/ (cbrt y) (cbrt (+ z y))))

simplify2.7s

Counts

164 → 164

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	280	2535
1	610	2362
2	1235	2286
3	3243	2239
done	5000	2237

prune781.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite59.0ms

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:

24.0ms	(/ (exp (- z)) y)
33.0ms	(+ x (/ (exp (- z)) y))

series81.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(/ (exp (- z)) y)
43.0ms	(+ x (/ (exp (- z)) y))

simplify2.2s

Counts

54 → 54

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	89	496
1	187	468
2	475	439
3	1237	437
done	5000	436

prune196.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

regimes95.0ms

Accuracy

0% (1.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

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

end0.0ms

sample2.2s

Algorithm

intervals

Results

502.0ms	815×	body	1280	valid
447.0ms	6533×	body	80	valid
352.0ms	929×	body	640	valid
150.0ms	3024×	body	80	nan
131.0ms	551×	body	320	valid
45.0ms	296×	body	160	valid