Details

sample96.0ms

Algorithm

intervals

Results

25.0ms	208×	body	80	valid
18.0ms	30×	body	640	valid
15.0ms	17×	body	1280	valid
10.0ms	22×	body	320	valid
9.0ms	89×	body	80	nan
2.0ms	9×	body	160	valid

simplify2.1s

Counts

1 → 1

Iterations

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
0.0b	(/ y (+ z y))
0.1b	(* y (log (/ y (+ z y))))
8.9b	(log (/ y (+ z y)))

rewrite205.0ms

Algorithm

rewrite-expression-head

Rules

73×	`*-un-lft-identity`
54×	`log-prod`
48×	`times-frac`
43×	`add-sqr-sqrt`
41×	`add-cube-cbrt`
18×	`distribute-rgt-in` `distribute-lft-in`
15×	`distribute-lft-out`
11×	`add-exp-log`
10×	`log-div`
8×	`pow1` `associate-/r` `add-cbrt-cube` `associate-/r/` `associate-/l`
6×	`add-log-exp`
5×	`flip3-+` `flip-+`
4×	`clear-num` `associate-r` `log-rec` `insert-posit16` `div-inv`
3×	`associate-l`
2×	`frac-2neg` `div-exp` `rem-log-exp` `log-pow` `distribute-rgt-neg-out`
1×	`cbrt-undiv` `+-commutative` `sum-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 146

Calls

4 calls:

134.0ms	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
10.0ms	(/ y (+ z y))
39.0ms	(* y (log (/ y (+ z y))))
15.0ms	(log (/ y (+ z y)))

series399.0ms

Counts

4 → 12

Calls

4 calls:

134.0ms	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
69.0ms	(/ y (+ z y))
131.0ms	(* y (log (/ y (+ z y))))
65.0ms	(log (/ y (+ z y)))

simplify3.2s

Counts

158 → 158

Iterations

Iter	Nodes
done	5003
3	4937
2	1077
1	451
0	215

prune789.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize58.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ z y))
2.7b	(log (/ (cbrt y) (cbrt (+ z y))))
2.7b	(log (/ (cbrt y) (cbrt (+ z y))))
2.7b	(log (/ (cbrt y) (cbrt (+ z y))))

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

160×	`cbrt-prod`
145×	`*-un-lft-identity`
144×	`log-prod`
126×	`times-frac`
98×	`add-sqr-sqrt` `add-cube-cbrt`
48×	`log-div`
22×	`distribute-lft-out`
21×	`associate-/r` `associate-/l`
13×	`add-exp-log`
8×	`cbrt-div`
7×	`pow1`
6×	`clear-num` `rem-log-exp` `log-rec` `associate-/r/`
4×	`flip3-+` `add-cbrt-cube` `flip-+` `insert-posit16` `add-log-exp`
3×	`frac-2neg` `div-exp` `log-pow` `div-inv`
1×	`pow1/3`

Counts

4 → 246

Calls

4 calls:

7.0ms	(cbrt (+ z y))
31.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
23.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
32.0ms	(log (/ (cbrt y) (cbrt (+ z y))))

series594.0ms

Counts

4 → 12

Calls

4 calls:

218.0ms	(cbrt (+ z y))
125.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
136.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
115.0ms	(log (/ (cbrt y) (cbrt (+ z y))))

simplify2.1s

Counts

258 → 258

Iterations

Iter	Nodes
done	5000
3	2062
2	761
1	392
0	219

prune1.8s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 44

Calls

2 calls:

12.0ms	(/ (exp (- z)) y)
35.0ms	(+ (/ (exp (- z)) y) x)

series94.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(/ (exp (- z)) y)
50.0ms	(+ (/ (exp (- z)) y) x)

simplify1.7s

Counts

50 → 50

Iterations

Iter	Nodes
done	5003
3	1608
2	490
1	185
0	91

prune279.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (/ (exp (- z)) y)) (cbrt (/ (exp (- z)) y)))
0.3b	(cbrt (/ (exp (- z)) y))
0.3b	(cbrt (/ (exp (- z)) y))
0.3b	(cbrt (/ (exp (- z)) y))

rewrite176.0ms

Algorithm

rewrite-expression-head

Rules

297×	`cbrt-div`
135×	`add-sqr-sqrt`
121×	`frac-times`
111×	`*-un-lft-identity` `add-cube-cbrt`
103×	`cbrt-prod`
81×	`associate-/r` `associate-/l`
69×	`times-frac`
54×	`associate-/l/`
27×	`neg-sub0` `exp-neg` `clear-num` `frac-2neg` `exp-diff`
16×	`swap-sqr` `associate-r` `associate-l`
11×	`pow1` `associate-l/` `associate-r/`
9×	`pow1/3` `unswap-sqr`
8×	`add-cbrt-cube`
7×	`div-inv`
6×	`add-exp-log`
4×	`cbrt-unprod` `insert-posit16` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative`

Counts

4 → 321

Calls

4 calls:

98.0ms	(* (cbrt (/ (exp (- z)) y)) (cbrt (/ (exp (- z)) y)))
19.0ms	(cbrt (/ (exp (- z)) y))
20.0ms	(cbrt (/ (exp (- z)) y))
12.0ms	(cbrt (/ (exp (- z)) y))

series531.0ms

Counts

4 → 12

Calls

4 calls:

154.0ms	(* (cbrt (/ (exp (- z)) y)) (cbrt (/ (exp (- z)) y)))
121.0ms	(cbrt (/ (exp (- z)) y))
131.0ms	(cbrt (/ (exp (- z)) y))
124.0ms	(cbrt (/ (exp (- z)) y))

simplify3.1s

Counts

333 → 333

Iterations

Iter	Nodes
done	5001
3	3309
2	1196
1	619
0	365

prune1.8s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes172.0ms

Accuracy

0% (1.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	18
1	18
0	14

end0.0ms

sample3.6s

Algorithm

intervals

Results

1.1s	6491×	body	80	valid
826.0ms	751×	body	1280	valid
665.0ms	962×	body	640	valid
390.0ms	3056×	body	80	nan
277.0ms	580×	body	320	valid
80.0ms	280×	body	160	valid