Details

sample49.0ms

Algorithm

intervals

Results

10.0ms	218×	body	80	valid
9.0ms	34×	body	640	valid
8.0ms	18×	body	1280	valid
6.0ms	23×	body	320	valid
3.0ms	83×	body	80	nan
1.0ms	11×	body	160	valid

simplify1.3s

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	10	13
1	18	13
2	27	11
3	54	11
4	105	11
5	247	11
6	587	11
7	2908	11
done	5001	11

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.1b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (pow (/ y (+ z y)) y) y)
0.0b	(/ y (+ z y))
6.1b	(pow (/ y (+ z y)) y)

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
118×	`*-un-lft-identity`
90×	`unpow-prod-down`
80×	`add-sqr-sqrt` `add-cube-cbrt`
25×	`associate-/l*`
19×	`distribute-lft-out`
16×	`add-exp-log`
12×	`associate-/r/`
7×	`div-exp` `associate-/r*` `add-cbrt-cube` `div-inv`
6×	`flip3-+` `flip-+`
5×	`sqr-pow`
4×	`pow1` `pow-exp`
3×	`expm1-log1p-u` `pow-unpow` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `pow-to-exp` `frac-2neg` `clear-num`
1×	`pow-pow`

Counts

3 → 178

Calls

3 calls:

30.0ms	(/ (pow (/ y (+ z y)) y) y)
5.0ms	(/ y (+ z y))
8.0ms	(pow (/ y (+ z y)) y)

series399.0ms

Counts

3 → 9

Calls

3 calls:

133.0ms	(/ (pow (/ y (+ z y)) y) y)
38.0ms	(/ y (+ z y))
228.0ms	(pow (/ y (+ z y)) y)

simplify941.0ms

Counts

187 → 187

Iterations

Useful iterations: 2 (340.0ms)

Iter	Nodes	Cost
0	282	2929
1	552	2745
2	2244	2688
done	5000	2688

prune455.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 1.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ z y))
0.6b	(* (cbrt (+ z y)) (cbrt (+ z y)))
1.5b	(pow (/ (cbrt y) (cbrt (+ z y))) y)
3.6b	(pow (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ z y)) (cbrt (+ z y)))) y)

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

73×	`cbrt-prod`
71×	`*-un-lft-identity`
61×	`unpow-prod-down`
51×	`add-sqr-sqrt`
43×	`add-cube-cbrt` `times-frac`
28×	`cbrt-div`
22×	`add-exp-log`
14×	`flip3-+` `flip-+`
13×	`pow1` `distribute-lft-out`
10×	`associate-/r/`
9×	`swap-sqr`
8×	`frac-times`
7×	`pow1/3` `associate-r` `associate-l` `pow-exp`
6×	`pow-unpow`
5×	`div-exp` `prod-exp`
4×	`expm1-log1p-u` `associate-r/` `associate-l/` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-to-exp` `pow-pow` `pow-prod-down` `pow-sqr` `pow-prod-up` `div-inv` `sqr-pow`
1×	`pow2` `pow-plus` `*-commutative` `cbrt-unprod`

Counts

4 → 169

Calls

4 calls:

2.0ms	(cbrt (+ z y))
22.0ms	(* (cbrt (+ z y)) (cbrt (+ z y)))
14.0ms	(pow (/ (cbrt y) (cbrt (+ z y))) y)
17.0ms	(pow (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ z y)) (cbrt (+ z y)))) y)

series851.0ms

Counts

4 → 12

Calls

4 calls:

128.0ms	(cbrt (+ z y))
173.0ms	(* (cbrt (+ z y)) (cbrt (+ z y)))
268.0ms	(pow (/ (cbrt y) (cbrt (+ z y))) y)
282.0ms	(pow (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ z y)) (cbrt (+ z y)))) y)

simplify1.2s

Counts

181 → 181

Iterations

Useful iterations: 2 (648.0ms)

Iter	Nodes	Cost
0	359	3219
1	838	2865
2	2554	2696
done	5000	2696

prune599.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ z y))
1.5b	(pow (/ (cbrt y) (cbrt (+ z y))) y)
1.5b	(pow (fabs (/ (cbrt y) (cbrt (+ z y)))) y)
1.5b	(pow (fabs (/ (cbrt y) (cbrt (+ z y)))) y)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

54×	`unpow-prod-down`
51×	`*-un-lft-identity`
49×	`cbrt-prod`
42×	`times-frac`
37×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`add-exp-log` `pow-unpow`
7×	`pow1` `distribute-lft-out`
4×	`expm1-log1p-u` `cbrt-div` `pow-exp` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow-to-exp` `pow-pow` `sqr-pow`
2×	`flip3-+` `associate-/r/` `flip-+`
1×	`pow1/3` `div-exp` `div-inv`

Counts

4 → 119

Calls

4 calls:

2.0ms	(cbrt (+ z y))
13.0ms	(pow (/ (cbrt y) (cbrt (+ z y))) y)
1.0ms	(pow (fabs (/ (cbrt y) (cbrt (+ z y)))) y)
1.0ms	(pow (fabs (/ (cbrt y) (cbrt (+ z y)))) y)

series456.0ms

Counts

4 → 12

Calls

4 calls:

128.0ms	(cbrt (+ z y))
267.0ms	(pow (/ (cbrt y) (cbrt (+ z y))) y)
32.0ms	(pow (fabs (/ (cbrt y) (cbrt (+ z y)))) y)
29.0ms	(pow (fabs (/ (cbrt y) (cbrt (+ z y)))) y)

simplify688.0ms

Counts

131 → 131

Iterations

Useful iterations: done (684.0ms)

Iter	Nodes	Cost
0	260	2158
1	584	2008
2	1560	1947
done	5001	1941

prune478.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite7.0ms

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` `associate-/l/`
1×	`pow1` `cbrt-undiv` `neg-sub0` `exp-neg` `expm1-log1p-u` `frac-2neg` `exp-diff` `div-exp` `clear-num` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 31

Calls

1 calls:

6.0ms

(/ (exp (- z)) y)

series20.0ms

Counts

1 → 3

Calls

1 calls:

20.0ms

(/ (exp (- z)) y)

simplify1.1s

Counts

34 → 34

Iterations

Useful iterations: 3 (225.0ms)

Iter	Nodes	Cost
0	66	311
1	119	301
2	335	280
3	1584	278
done	5000	278

prune75.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

regimes47.0ms

Accuracy

0% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 0.9b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	35
1	17	35
done	17	35

end0.0ms

sample1.4s

Algorithm

intervals

Results

341.0ms	782×	body	1280	valid
300.0ms	6526×	body	80	valid
255.0ms	959×	body	640	valid
100.0ms	2993×	body	80	nan
85.0ms	513×	body	320	valid
32.0ms	304×	body	160	valid