Details

sample88.0ms

Algorithm

intervals

Results

18.0ms	100×	body	80	nan
16.0ms	211×	body	80	valid
12.0ms	30×	body	640	valid
8.0ms	15×	body	1280	valid
5.0ms	19×	body	320	valid
1.0ms	8×	body	160	valid

simplify3.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5002
7	1851
6	540
5	215
4	92
3	44
2	25
1	18
0	10

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.1b

localize79.0ms

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)))))
0.1b	(* y (log (/ y (+ z y))))
8.1b	(log (/ y (+ z y)))

rewrite311.0ms

Algorithm

rewrite-expression-head

Rules

90×	`log-prod`
78×	`*-un-lft-identity`
60×	`times-frac`
48×	`add-sqr-sqrt`
46×	`add-cube-cbrt`
36×	`distribute-rgt-in` `distribute-lft-in` `exp-sum`
16×	`distribute-lft-out`
10×	`associate-/r/`
9×	`add-exp-log`
8×	`pow1` `add-log-exp`
6×	`flip3-+` `add-cbrt-cube` `flip-+`
5×	`div-inv`
4×	`associate-r` `insert-posit16`
3×	`associate-l`
2×	`rem-log-exp` `log-pow`
1×	`+-commutative` `log-div` `exp-prod` `sum-log` `exp-to-pow` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr` `rem-exp-log`

Counts

4 → 146

Calls

4 calls:

191.0ms	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
45.0ms	(exp (* y (log (/ y (+ z y)))))
32.0ms	(* y (log (/ y (+ z y))))
9.0ms	(log (/ y (+ z y)))

series975.0ms

Counts

4 → 12

Calls

4 calls:

251.0ms	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
439.0ms	(exp (* y (log (/ y (+ z y)))))
160.0ms	(* y (log (/ y (+ z y))))
125.0ms	(log (/ y (+ z y)))

simplify5.6s

Counts

158 → 158

Iterations

Iter	Nodes
done	5008
3	3456
2	1225
1	579
0	267

prune2.0s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize77.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ y (+ z y))
0.0b	(+ x (/ (pow (exp y) (log (/ y (+ z y)))) y))
0.1b	(pow (exp y) (log (/ y (+ z y))))
8.1b	(log (/ y (+ z y)))

rewrite219.0ms

Algorithm

rewrite-expression-head

Rules

54×	`*-un-lft-identity`
36×	`log-prod` `times-frac`
32×	`add-sqr-sqrt` `add-cube-cbrt`
18×	`unpow-prod-up`
11×	`distribute-lft-out`
9×	`add-exp-log`
7×	`pow1`
6×	`add-cbrt-cube` `associate-/r/` `add-log-exp`
4×	`pow-unpow` `associate-/r*` `pow-pow` `flip3-+` `flip-+` `insert-posit16`
3×	`exp-prod` `unpow-prod-down` `div-inv` `associate-/l*`
2×	`log-div` `div-exp` `rem-log-exp` `log-pow`
1×	`pow-to-exp` `cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `pow-exp` `pow-sub` `sqr-pow`

Counts

4 → 118

Calls

4 calls:

29.0ms	(/ y (+ z y))
147.0ms	(+ x (/ (pow (exp y) (log (/ y (+ z y)))) y))
16.0ms	(pow (exp y) (log (/ y (+ z y))))
9.0ms	(log (/ y (+ z y)))

series772.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(/ y (+ z y))
257.0ms	(+ x (/ (pow (exp y) (log (/ y (+ z y)))) y))
321.0ms	(pow (exp y) (log (/ y (+ z y))))
123.0ms	(log (/ y (+ z y)))

simplify3.9s

Counts

130 → 130

Iterations

Iter	Nodes
done	5000
2	1484
1	558
0	205

prune1.5s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize246.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ x (/ (pow (exp y) (log (/ y (+ z y)))) y)))
8.1b	(log (/ y (+ z y)))
8.1b	(log (/ y (+ z y)))
8.1b	(log (/ y (+ z y)))

rewrite207.0ms

Algorithm

rewrite-expression-head

Rules

54×	`log-prod`
49×	`*-un-lft-identity`
36×	`times-frac`
29×	`add-sqr-sqrt` `add-cube-cbrt`
13×	`add-exp-log`
10×	`distribute-lft-out`
7×	`pow1`
6×	`rem-log-exp` `associate-/r/`
4×	`cbrt-prod` `flip3-+` `add-cbrt-cube` `flip-+` `insert-posit16` `add-log-exp`
3×	`log-div` `div-exp` `log-pow` `div-inv`
2×	`cbrt-div`
1×	`pow1/3`

Counts

4 → 105

Calls

4 calls:

139.0ms	(cbrt (+ x (/ (pow (exp y) (log (/ y (+ z y)))) y)))
19.0ms	(log (/ y (+ z y)))
19.0ms	(log (/ y (+ z y)))
19.0ms	(log (/ y (+ z y)))

series964.0ms

Counts

4 → 12

Calls

4 calls:

661.0ms	(cbrt (+ x (/ (pow (exp y) (log (/ y (+ z y)))) y)))
105.0ms	(log (/ y (+ z y)))
109.0ms	(log (/ y (+ z y)))
89.0ms	(log (/ y (+ z y)))

simplify4.0s

Counts

117 → 117

Iterations

Iter	Nodes
done	5001
3	2415
2	763
1	331
0	153

prune1.7s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-un-lft-identity`
10×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`times-frac`
4×	`add-cbrt-cube` `add-log-exp`
3×	`associate-/r` `add-exp-log` `associate-/l`
2×	`pow1` `insert-posit16` `associate-/l/`
1×	`neg-sub0` `exp-neg` `cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `exp-diff` `div-exp` `flip-+` `div-inv` `distribute-lft-out`

Counts

2 → 43

Calls

2 calls:

25.0ms	(/ (exp (- z)) y)
25.0ms	(+ x (/ (exp (- z)) y))

series83.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(/ (exp (- z)) y)
44.0ms	(+ x (/ (exp (- z)) y))

simplify3.4s

Counts

49 → 49

Iterations

Iter	Nodes
done	5012
3	1834
2	569
1	194
0	87

prune528.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes579.0ms

Accuracy

0% (1.0b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
done	12
1	12
0	10

end0.0ms

sample3.2s

Algorithm

intervals

Results

1.1s	6481×	body	80	valid
615.0ms	788×	body	1280	valid
494.0ms	947×	body	640	valid
203.0ms	587×	body	320	valid
182.0ms	2948×	body	80	nan
64.0ms	337×	body	160	valid