Details

sample107.0ms

Algorithm

intervals

Results

24.0ms	27×	body	1280	valid
19.0ms	194×	body	80	valid
17.0ms	31×	body	640	valid
8.0ms	107×	body	80	nan
7.0ms	21×	body	320	valid
2.0ms	10×	body	160	valid

simplify1.3s

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.1b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (pow (/ y (+ z y)) y) y)
0.0b	(/ y (+ z y))
0.0b	(+ x (/ (pow (/ y (+ z y)) y) y))
3.9b	(pow (/ y (+ z y)) y)

rewrite168.0ms

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:

55.0ms	(/ (pow (/ y (+ z y)) y) y)
17.0ms	(/ y (+ z y))
72.0ms	(+ x (/ (pow (/ y (+ z y)) y) y))
13.0ms	(pow (/ y (+ z y)) y)

series677.0ms

Counts

4 → 12

Calls

4 calls:

177.0ms	(/ (pow (/ y (+ z y)) y) y)
71.0ms	(/ y (+ z y))
96.0ms	(+ x (/ (pow (/ y (+ z y)) y) y))
333.0ms	(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	3198	2933
done	5000	2931

prune580.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize35.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
1.0b	(pow (/ (cbrt y) (cbrt (+ z y))) y)
1.5b	(pow (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ z y)) (cbrt (+ z y)))) y)

rewrite93.0ms

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)
30.0ms	(pow (/ (cbrt y) (cbrt (+ z y))) y)
51.0ms	(pow (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ z y)) (cbrt (+ z y)))) y)

series1.3s

Counts

4 → 12

Calls

4 calls:

259.0ms	(cbrt y)
254.0ms	(cbrt y)
361.0ms	(pow (/ (cbrt y) (cbrt (+ z y))) y)
385.0ms	(pow (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ z y)) (cbrt (+ z y)))) y)

simplify1.8s

Counts

136 → 136

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	301	2387
1	981	2217
2	3171	2078
done	5003	2024

prune639.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize33.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
1.0b	(pow (/ (cbrt y) (cbrt (+ z y))) y)
2.4b	(log (/ (cbrt y) (cbrt (+ z y))))

rewrite64.0ms

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:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
25.0ms	(pow (/ (cbrt y) (cbrt (+ z y))) y)
16.0ms	(log (/ (cbrt y) (cbrt (+ z y))))

series1.0s

Counts

4 → 12

Calls

4 calls:

274.0ms	(cbrt y)
264.0ms	(cbrt y)
368.0ms	(pow (/ (cbrt y) (cbrt (+ z y))) y)
100.0ms	(log (/ (cbrt y) (cbrt (+ z y))))

simplify1.3s

Counts

164 → 164

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	280	2535
1	809	2362
2	2521	2286
done	5000	2280

prune876.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (/ (exp (- z)) y))
0.2b	(/ (exp (- z)) y)

rewrite50.0ms

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:

29.0ms	(+ x (/ (exp (- z)) y))
19.0ms	(/ (exp (- z)) y)

series73.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(+ x (/ (exp (- z)) y))
34.0ms	(/ (exp (- z)) y)

simplify656.0ms

Counts

54 → 54

Iterations

Useful iterations: done (654.0ms)

Iter	Nodes	Cost
0	89	496
1	199	468
2	745	442
done	5000	437

prune157.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

regimes103.0ms

Accuracy

8.6% (1.0b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 1.2b

bsearch69.0ms

Steps

Iters	Range		Point
8	6.708811424281629e-42	2.878149790245363e-37	2.8217207455530354e-37

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	38
1	28	38
done	28	38

end0.0ms

sample3.1s

Algorithm

intervals

Results

1.0s	6484×	body	80	valid
605.0ms	817×	body	1280	valid
357.0ms	879×	body	640	valid
262.0ms	3036×	body	80	nan
231.0ms	592×	body	320	valid
53.0ms	321×	body	160	valid