Details

sample33.0ms

Algorithm

intervals

Results

20.0ms

276×

body

valid

simplify611.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	2001
6	1218
5	540
4	199
3	100
2	58
1	25
0	12

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.7b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
0.0b	(/ (+ (- t z) 1.0) a)
10.4b	(/ (- y z) (/ (+ (- t z) 1.0) a))

rewrite160.0ms

Algorithm

rewrite-expression-head

Rules

239×	`*-un-lft-identity`
203×	`times-frac`
136×	`add-sqr-sqrt`
87×	`add-cube-cbrt`
44×	`distribute-lft-out`
43×	`distribute-lft-out--`
23×	`difference-of-squares`
22×	`associate-/r*`
10×	`add-cbrt-cube` `add-exp-log` `associate-/l*`
8×	`div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
3×	`pow1` `div-sub` `insert-posit16`
2×	`clear-num` `frac-2neg` `flip3--` `flip--`
1×	`sub-neg` `flip3-+` `diff-log` `associate-/r/` `associate-+l-` `flip-+` `associate--r-`

Counts

3 → 195

Calls

3 calls:

55.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
43.0ms	(/ (+ (- t z) 1.0) a)
54.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

series314.0ms

Counts

3 → 9

Calls

3 calls:

124.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
44.0ms	(/ (+ (- t z) 1.0) a)
146.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify503.0ms

Counts

204 → 204

Iterations

Iter	Nodes
done	2002
1	776
0	264

prune833.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize33.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
0.0b	(/ (- y z) (+ (- t z) 1.0))
0.5b	(* (/ (- y z) (+ (- t z) 1.0)) a)

rewrite142.0ms

Algorithm

rewrite-expression-head

Rules

104×	`*-un-lft-identity`
54×	`add-sqr-sqrt`
51×	`times-frac`
31×	`associate-l`
27×	`add-cube-cbrt`
22×	`distribute-lft-out` `distribute-lft-out--`
11×	`difference-of-squares`
10×	`add-cbrt-cube` `add-exp-log`
5×	`pow1` `associate-/r` `associate-/l` `add-log-exp`
4×	`associate-/r/`
3×	`associate-r` `insert-posit16`
2×	`cbrt-undiv` `flip3-+` `flip3--` `div-exp` `prod-exp` `cbrt-unprod` `flip-+` `div-inv` `flip--` `unswap-sqr` `associate-/l/`
1×	`clear-num` `sub-neg` `frac-2neg` `diff-log` `div-sub` `pow-prod-down` `associate-l/` `-commutative`

Counts

3 → 117

Calls

3 calls:

8.0ms	(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
52.0ms	(/ (- y z) (+ (- t z) 1.0))
78.0ms	(* (/ (- y z) (+ (- t z) 1.0)) a)

series390.0ms

Counts

3 → 9

Calls

3 calls:

144.0ms	(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
77.0ms	(/ (- y z) (+ (- t z) 1.0))
169.0ms	(* (/ (- y z) (+ (- t z) 1.0)) a)

simplify798.0ms

Counts

126 → 126

Iterations

Iter	Nodes
done	2001
2	1444
1	449
0	171

prune532.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize65.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- y z))
0.5b	(cbrt (- y z))
0.5b	(cbrt (- y z))
0.5b	(* (cbrt (- y z)) (cbrt (- y z)))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `insert-posit16` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 105

Calls

4 calls:

7.0ms	(cbrt (- y z))
6.0ms	(cbrt (- y z))
6.0ms	(cbrt (- y z))
26.0ms	(* (cbrt (- y z)) (cbrt (- y z)))

series772.0ms

Counts

4 → 12

Calls

4 calls:

191.0ms	(cbrt (- y z))
220.0ms	(cbrt (- y z))
188.0ms	(cbrt (- y z))
173.0ms	(* (cbrt (- y z)) (cbrt (- y z)))

simplify974.0ms

Counts

117 → 117

Iterations

Iter	Nodes
done	2001
3	1684
2	674
1	286
0	133

prune748.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ (- t z) 1.0) a)
0.0b	(/ (+ (- t z) 1.0) a)
4.5b	(/ y (/ (+ (- t z) 1.0) a))
9.3b	(/ z (/ (+ (- t z) 1.0) a))

rewrite174.0ms

Algorithm

rewrite-expression-head

Rules

296×	`*-un-lft-identity`
264×	`times-frac`
136×	`add-sqr-sqrt` `add-cube-cbrt`
64×	`distribute-lft-out`
44×	`associate-/r*`
32×	`distribute-lft-out--`
18×	`add-cbrt-cube` `add-exp-log`
16×	`associate-/l*`
12×	`div-inv`
8×	`cbrt-undiv` `div-exp`
4×	`pow1` `clear-num` `frac-2neg` `insert-posit16` `add-log-exp` `associate-/l/`
2×	`flip3-+` `div-sub` `associate-/r/` `associate-+l-` `flip-+`

Counts

4 → 268

Calls

4 calls:

51.0ms	(/ (+ (- t z) 1.0) a)
60.0ms	(/ (+ (- t z) 1.0) a)
29.0ms	(/ y (/ (+ (- t z) 1.0) a))
28.0ms	(/ z (/ (+ (- t z) 1.0) a))

series426.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(/ (+ (- t z) 1.0) a)
52.0ms	(/ (+ (- t z) 1.0) a)
159.0ms	(/ y (/ (+ (- t z) 1.0) a))
167.0ms	(/ z (/ (+ (- t z) 1.0) a))

simplify596.0ms

Counts

280 → 280

Iterations

Iter	Nodes
done	2001
1	772
0	294

prune1.2s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes263.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	14
1	14
0	12

end0.0ms

sample1.5s

Algorithm

intervals

Results

1.2s	8517×	body	80	valid
0.0ms	1×	body	160	valid
0.0ms	1×	body	320	valid