Details

sample79.0ms

Algorithm

intervals

Results

17.0ms	228×	body	80	valid
14.0ms	23×	body	1280	valid
13.0ms	32×	body	640	valid
6.0ms	109×	body	80	nan
5.0ms	19×	body	320	valid
1.0ms	9×	body	160	valid

simplify3.5s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	343
1	18	343
2	25	343
3	44	343
4	94	343
5	220	343
6	565	343
7	2018	343
done	5002	343

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.6b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (* y (log (/ y (+ z y)))))
0.0b	(/ y (+ z y))
0.1b	(* y (log (/ y (+ z y))))
7.9b	(log (/ y (+ z y)))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

93×	`*-un-lft-identity`
90×	`log-prod`
72×	`times-frac`
57×	`add-sqr-sqrt`
55×	`add-cube-cbrt`
36×	`distribute-rgt-in` `distribute-lft-in` `exp-sum`
19×	`distribute-lft-out`
12×	`associate-/r/`
11×	`add-exp-log`
8×	`pow1` `add-cbrt-cube`
6×	`flip3-+` `flip-+` `div-inv` `add-log-exp`
4×	`expm1-log1p-u` `associate-/r` `associate-r*` `log1p-expm1-u`
3×	`associate-l` `associate-/l*`
2×	`div-exp` `rem-log-exp` `log-pow`
1×	`cbrt-undiv` `log-div` `exp-prod` `clear-num` `frac-2neg` `exp-to-pow` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr` `rem-exp-log`

Counts

4 → 171

Calls

4 calls:

27.0ms	(exp (* y (log (/ y (+ z y)))))
13.0ms	(/ y (+ z y))
16.0ms	(* y (log (/ y (+ z y))))
5.0ms	(log (/ y (+ z y)))

series540.0ms

Counts

4 → 12

Calls

4 calls:

292.0ms	(exp (* y (log (/ y (+ z y)))))
55.0ms	(/ y (+ z y))
98.0ms	(* y (log (/ y (+ z y))))
94.0ms	(log (/ y (+ z y)))

simplify3.9s

Counts

183 → 183

Iterations

Useful iterations: done (3.9s)

Iter	Nodes	Cost
0	256	70063
1	563	64206
2	1245	63114
3	4594	62904
done	5000	62880

prune1.2s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (pow (exp y) (log (/ y (+ z y)))) y)
0.0b	(/ y (+ z y))
0.0b	(pow (exp y) (log (/ y (+ z y))))
7.9b	(log (/ y (+ z y)))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

159×	`times-frac`
142×	`*-un-lft-identity`
108×	`log-prod`
98×	`add-sqr-sqrt` `add-cube-cbrt`
90×	`unpow-prod-up`
28×	`associate-/l*`
22×	`distribute-lft-out`
15×	`unpow-prod-down`
14×	`associate-/r/`
13×	`add-exp-log`
8×	`add-cbrt-cube` `div-inv`
7×	`pow1` `associate-/r*` `flip3-+` `flip-+`
5×	`div-exp` `sqr-pow`
4×	`expm1-log1p-u` `pow-unpow` `pow-pow` `log1p-expm1-u` `add-log-exp`
3×	`log-div` `exp-prod`
2×	`pow-to-exp` `cbrt-undiv` `clear-num` `frac-2neg` `rem-log-exp` `pow-exp` `log-pow` `pow-sub`
1×	`associate-/l/`

Counts

4 → 228

Calls

4 calls:

32.0ms	(/ (pow (exp y) (log (/ y (+ z y)))) y)
17.0ms	(/ y (+ z y))
17.0ms	(pow (exp y) (log (/ y (+ z y))))
10.0ms	(log (/ y (+ z y)))

series478.0ms

Counts

4 → 12

Calls

4 calls:

130.0ms	(/ (pow (exp y) (log (/ y (+ z y)))) y)
72.0ms	(/ y (+ z y))
209.0ms	(pow (exp y) (log (/ y (+ z y))))
67.0ms	(log (/ y (+ z y)))

simplify2.7s

Counts

240 → 240

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	339	157606
1	739	147457
2	2068	143896
done	5008	143661

prune1.7s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 1 expressions with local error:

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

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt` `*-un-lft-identity` `times-frac` `add-cube-cbrt`
3×	`associate-/r` `add-cbrt-cube` `associate-/l`
2×	`add-exp-log` `associate-/l/`
1×	`neg-sub0` `exp-neg` `expm1-log1p-u` `pow1` `cbrt-undiv` `clear-num` `frac-2neg` `exp-diff` `div-exp` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 31

Calls

1 calls:

20.0ms

(/ (exp (- z)) y)

series38.0ms

Counts

1 → 3

Calls

1 calls:

38.0ms

(/ (exp (- z)) y)

simplify2.7s

Counts

34 → 34

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	66	9139
1	128	8739
2	320	8550
3	896	8470
4	2815	8470
done	5027	8430

prune145.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes202.0ms

Accuracy

-53.7% (1.5b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 1.0b

bsearch140.0ms

Steps

Iters	Range		Point
7	2.3741151796596637e+123	4.1689082920774002e+124	3.8720995340148845e+123
9	2.23556069494463e+67	2.2987715205527013e+72	5.320319158246682e+71

simplify6.0ms

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	20	965
1	26	965
done	26	965

end0.0ms

sample3.3s

Algorithm

intervals

Results

690.0ms	6511×	body	80	valid
675.0ms	764×	body	1280	valid
622.0ms	558×	body	320	valid
569.0ms	939×	body	640	valid
262.0ms	3171×	body	80	nan
60.0ms	303×	body	160	valid