Details

sample54.0ms

Algorithm

intervals

Results

12.0ms	207×	body	80	valid
10.0ms	41×	body	640	valid
8.0ms	17×	body	1280	valid
3.0ms	18×	body	320	valid
3.0ms	88×	body	80	nan
1.0ms	10×	body	160	valid

simplify120.0ms

Counts

1 → 1

Iterations

Useful iterations: 6 (31.0ms)

Iter	Nodes	Cost
0	18	7
1	27	7
2	54	7
3	111	7
4	314	7
5	801	7
6	4217	6
7	5001	6
done	5001	6

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 3.3b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
0.0b	(/ (exp (* y (log (/ y (+ z y))))) y)
0.2b	(* y (log (/ y (+ z y))))
7.3b	(log (/ y (+ z y)))

rewrite179.0ms

Algorithm

rewrite-expression-head

Rules

249×	`times-frac`
207×	`*-un-lft-identity`
198×	`log-prod`
144×	`exp-sum`
141×	`add-sqr-sqrt`
139×	`add-cube-cbrt`
90×	`distribute-rgt-in` `distribute-lft-in`
39×	`associate-/l*`
34×	`distribute-lft-out`
22×	`associate-/r/`
12×	`flip3-+` `flip-+` `div-inv`
10×	`add-exp-log`
8×	`pow1` `add-cbrt-cube`
6×	`add-log-exp`
4×	`expm1-log1p-u` `associate-r` `log1p-expm1-u`
3×	`fma-def` `associate-l` `associate-/r*`
2×	`div-exp` `rem-log-exp` `log-pow`
1×	`cbrt-undiv` `+-commutative` `log-div` `frac-2neg` `pow-prod-down` `prod-exp` `clear-num` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 278

Calls

4 calls:

81.0ms	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
52.0ms	(/ (exp (* y (log (/ y (+ z y))))) y)
19.0ms	(* y (log (/ y (+ z y))))
7.0ms	(log (/ y (+ z y)))

series328.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
129.0ms	(/ (exp (* y (log (/ y (+ z y))))) y)
80.0ms	(* y (log (/ y (+ z y))))
47.0ms	(log (/ y (+ z y)))

simplify86.0ms

Counts

290 → 290

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	868	3073
1	2712	2640
2	5001	2626
done	5001	2626

prune596.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ x (/ (exp (* y 0)) y))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

4×	`*-un-lft-identity`
3×	`fma-def` `add-log-exp`
2×	`add-sqr-sqrt` `add-cube-cbrt`
1×	`pow1` `add-exp-log` `+-commutative` `expm1-log1p-u` `flip3-+` `sum-log` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `distribute-lft-out`

Counts

1 → 17

Calls

1 calls:

12.0ms

(+ x (/ (exp (* y 0)) y))

series29.0ms

Counts

1 → 3

Calls

1 calls:

29.0ms

(+ x (/ (exp (* y 0)) y))

simplify93.0ms

Counts

20 → 20

Iterations

Useful iterations: 3 (24.0ms)

Iter	Nodes	Cost
0	89	102
1	291	78
2	832	73
3	2503	71
4	5001	71
done	5001	71

prune46.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ (exp (* -1 z)) y)

rewrite10.0ms

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

Counts

1 → 30

Calls

1 calls:

9.0ms

(/ (exp (* -1 z)) y)

series23.0ms

Counts

1 → 3

Calls

1 calls:

22.0ms

(/ (exp (* -1 z)) y)

simplify48.0ms

Counts

33 → 33

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	117	194
1	313	180
2	1514	177
3	5001	177
done	5001	177

prune71.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (cbrt (/ (pow (pow (/ y (+ z y)) y) 3) (pow y 3))))
0.3b	(/ (pow (pow (/ y (+ z y)) y) 3) (pow y 3))
5.8b	(pow (/ y (+ z y)) y)
37.6b	(cbrt (/ (pow (pow (/ y (+ z y)) y) 3) (pow y 3)))

rewrite612.0ms

Algorithm

rewrite-expression-head

Rules

1812×	`times-frac`
1771×	`unpow-prod-down`
1101×	`*-un-lft-identity`
853×	`cube-prod`
793×	`add-sqr-sqrt` `add-cube-cbrt`
604×	`cbrt-prod`
177×	`sqr-pow`
154×	`distribute-lft-out`
126×	`cube-mult` `unpow3`
102×	`associate-/r/`
53×	`div-inv`
52×	`flip3-+` `flip-+`
50×	`associate-/l*`
34×	`add-exp-log`
26×	`pow-exp`
22×	`div-exp`
13×	`pow-to-exp`
12×	`associate-/r*`
6×	`add-cbrt-cube` `add-log-exp`
5×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`pow-unpow` `fma-def`
1×	`cbrt-undiv` `+-commutative` `cbrt-div` `pow-pow` `frac-2neg` `pow1/3` `clear-num` `sum-log`

Counts

4 → 1360

Calls

4 calls:

300.0ms	(+ x (cbrt (/ (pow (pow (/ y (+ z y)) y) 3) (pow y 3))))
97.0ms	(/ (pow (pow (/ y (+ z y)) y) 3) (pow y 3))
13.0ms	(pow (/ y (+ z y)) y)
62.0ms	(cbrt (/ (pow (pow (/ y (+ z y)) y) 3) (pow y 3)))

series803.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(+ x (cbrt (/ (pow (pow (/ y (+ z y)) y) 3) (pow y 3))))
327.0ms	(/ (pow (pow (/ y (+ z y)) y) 3) (pow y 3))
230.0ms	(pow (/ y (+ z y)) y)
159.0ms	(cbrt (/ (pow (pow (/ y (+ z y)) y) 3) (pow y 3)))

simplify216.0ms

Counts

1372 → 1372

Iterations

Useful iterations: 1 (32.0ms)

Iter	Nodes	Cost
0	1649	18633
1	5001	18242
done	5001	18242

prune1.5s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes63.0ms

Accuracy

91.1% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 2.2b

bsearch95.0ms

Steps

Iters	Range		Point
10	2.142008608447194e-19	4.5561658934541904e-07	4.5085108853577414e-07
10	-9.15937870925839e+18	-39225815.06640257	-16812707776681.508

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	8
1	27	8
done	27	8

end0.0ms

sample1.5s

Algorithm

intervals

Results

341.0ms	783×	body	1280	valid
299.0ms	6492×	body	80	valid
242.0ms	956×	body	640	valid
88.0ms	2941×	body	80	nan
87.0ms	545×	body	320	valid
32.0ms	317×	body	160	valid