Details

sample139.0ms

Algorithm

intervals

Results

34.0ms	218×	body	80	valid
26.0ms	23×	body	1280	valid
17.0ms	24×	body	640	valid
11.0ms	24×	body	320	valid
9.0ms	86×	body	80	nan
2.0ms	7×	body	160	valid

simplify3.9s

Counts

1 → 1

Iterations

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

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.0b

localize95.0ms

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))))
7.0b	(log (/ y (+ z y)))

rewrite198.0ms

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×	`associate-/r` `associate-r*` `insert-posit16`
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 → 167

Calls

4 calls:

45.0ms	(exp (* y (log (/ y (+ z y)))))
35.0ms	(/ y (+ z y))
59.0ms	(* y (log (/ y (+ z y))))
26.0ms	(log (/ y (+ z y)))

series755.0ms

Counts

4 → 12

Calls

4 calls:

386.0ms	(exp (* y (log (/ y (+ z y)))))
67.0ms	(/ y (+ z y))
201.0ms	(* y (log (/ y (+ z y))))
100.0ms	(log (/ y (+ z y)))

simplify7.3s

Counts

179 → 179

Iterations

Iter	Nodes
done	5000
3	4391
2	1201
1	544
0	252

prune2.3s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize118.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (pow (exp y) (log (/ y (+ z y)))) y))
0.0b	(/ y (+ z y))
0.0b	(pow (exp y) (log (/ y (+ z y))))
7.0b	(log (/ y (+ z y)))

rewrite200.0ms

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:

115.0ms	(+ x (/ (pow (exp y) (log (/ y (+ z y)))) y))
34.0ms	(/ y (+ z y))
25.0ms	(pow (exp y) (log (/ y (+ z y))))
18.0ms	(log (/ y (+ z y)))

series743.0ms

Counts

4 → 12

Calls

4 calls:

231.0ms	(+ x (/ (pow (exp y) (log (/ y (+ z y)))) y))
68.0ms	(/ y (+ z y))
339.0ms	(pow (exp y) (log (/ y (+ z y))))
105.0ms	(log (/ y (+ z y)))

simplify3.7s

Counts

130 → 130

Iterations

Iter	Nodes
done	5000
2	1479
1	558
0	205

prune1.6s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize80.0ms

Local error

Found 2 expressions with local error:

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

rewrite87.0ms

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:

39.0ms	(+ x (/ (exp (- z)) y))
44.0ms	(/ (exp (- z)) y)

series90.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(+ x (/ (exp (- z)) y))
34.0ms	(/ (exp (- z)) y)

simplify3.8s

Counts

49 → 49

Iterations

Iter	Nodes
done	5000
3	1833
2	563
1	194
0	87

prune616.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize61.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (/ 1 (* y (exp z))))
0.0b	(* y (exp z))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

7×	`*-un-lft-identity`
6×	`add-sqr-sqrt`
4×	`pow1` `add-cbrt-cube` `add-cube-cbrt` `add-log-exp`
3×	`associate-r` `associate-l` `add-exp-log`
2×	`insert-posit16` `distribute-lft-out`
1×	`+-commutative` `sum-log` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `div-inv` `unswap-sqr`

Counts

2 → 33

Calls

2 calls:

49.0ms	(+ x (/ 1 (* y (exp z))))
27.0ms	(* y (exp z))

series139.0ms

Counts

2 → 6

Calls

2 calls:

71.0ms	(+ x (/ 1 (* y (exp z))))
67.0ms	(* y (exp z))

simplify5.5s

Counts

39 → 39

Iterations

Iter	Nodes
done	5001
3	2334
2	538
1	177
0	71

prune444.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes521.0ms

Accuracy

0% (1.2b remaining)

Error of 1.3b against oracle of 0.1b and baseline of 1.3b

bsearch0.0ms

simplify8.0ms

Iterations

Iter	Nodes
done	12
1	12
0	10

end0.0ms

sample3.7s

Algorithm

intervals

Results

1.1s	6488×	body	80	valid
763.0ms	787×	body	1280	valid
610.0ms	965×	body	640	valid
390.0ms	3068×	body	80	nan
216.0ms	582×	body	320	valid
78.0ms	334×	body	160	valid