Details

sample42.0ms

Algorithm

intervals

Results

15.0ms

322×

body

valid

simplify6.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	10	7
done	10	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize283.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (* x y) (* z t))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `sum-log` `add-cbrt-cube` `flip-+`

Counts

1 → 11

Calls

1 calls:

17.0ms

(+ (* x y) (* z t))

series66.0ms

Counts

1 → 3

Calls

1 calls:

66.0ms

(+ (* x y) (* z t))

simplify2.7s

Counts

14 → 14

Iterations

Useful iterations: 2 (86.0ms)

Iter	Nodes	Cost
0	31	160
1	101	155
2	343	141
3	931	141
4	2526	141
done	5000	141

prune48.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x y) (* x y))
0.3b	(* (* z t) (* z t))
3.8b	(- (* (* x y) (* x y)) (* (* z t) (* z t)))
25.5b	(/ (- (* (* x y) (* x y)) (* (* z t) (* z t))) (- (* x y) (* z t)))

rewrite242.0ms

Algorithm

rewrite-expression-head

Rules

82×	`pow1`
34×	`pow-prod-down`
30×	`add-exp-log` `add-cbrt-cube`
16×	`prod-exp` `cbrt-unprod`
13×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`times-frac`
8×	`pow-sqr` `pow-prod-up`
6×	`add-log-exp`
5×	`difference-of-squares`
4×	`pow-plus` `associate-/l*`
3×	`flip3--` `associate-/r*` `flip--`
2×	`pow2` `swap-sqr` `associate-r` `associate-l` `associate-/r/` `*-commutative` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `clear-num` `div-inv`

Counts

4 → 117

Calls

4 calls:

29.0ms	(* (* x y) (* x y))
37.0ms	(* (* z t) (* z t))
47.0ms	(- (* (* x y) (* x y)) (* (* z t) (* z t)))
123.0ms	(/ (- (* (* x y) (* x y)) (* (* z t) (* z t))) (- (* x y) (* z t)))

series322.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* (* x y) (* x y))
46.0ms	(* (* z t) (* z t))
126.0ms	(- (* (* x y) (* x y)) (* (* z t) (* z t)))
104.0ms	(/ (- (* (* x y) (* x y)) (* (* z t) (* z t))) (- (* x y) (* z t)))

simplify1.3s

Counts

129 → 129

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	152	2250
1	392	1968
2	1747	1542
done	5001	1538

prune312.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (* t z) (- (/ (* x y) (* t z)) 1))
0.1b	(/ (* x y) (- 1 (/ (* t z) (* x y))))
4.5b	(/ (* t z) (* x y))
4.8b	(/ (* x y) (* t z))

rewrite127.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-exp-log` `add-cbrt-cube`
22×	`add-sqr-sqrt`
20×	`*-un-lft-identity`
15×	`times-frac` `associate-/r*`
12×	`cbrt-undiv` `div-exp`
10×	`prod-exp` `cbrt-unprod`
8×	`add-cube-cbrt` `difference-of-squares`
4×	`pow1` `frac-2neg` `clear-num` `associate-/r/` `div-inv` `associate-/l*` `distribute-lft-out--` `add-log-exp`
2×	`flip3--` `difference-of-sqr-1` `flip--`

Counts

4 → 102

Calls

4 calls:

42.0ms	(/ (* t z) (- (/ (* x y) (* t z)) 1))
41.0ms	(/ (* x y) (- 1 (/ (* t z) (* x y))))
20.0ms	(/ (* t z) (* x y))
20.0ms	(/ (* x y) (* t z))

series239.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(/ (* t z) (- (/ (* x y) (* t z)) 1))
76.0ms	(/ (* x y) (- 1 (/ (* t z) (* x y))))
34.0ms	(/ (* t z) (* x y))
32.0ms	(/ (* x y) (* t z))

simplify1.3s

Counts

114 → 114

Iterations

Useful iterations: 2 (405.0ms)

Iter	Nodes	Cost
0	172	1696
1	453	1616
2	2316	1348
done	5000	1348

prune368.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.8b	(/ z (- (/ (* x y) (* t z)) 1))
1.6b	(* t (/ z (- (/ (* x y) (* t z)) 1)))
4.5b	(/ (* t z) (* x y))
4.8b	(/ (* x y) (* t z))

rewrite199.0ms

Algorithm

rewrite-expression-head

Rules

61×	`add-sqr-sqrt`
49×	`*-un-lft-identity`
45×	`times-frac`
35×	`add-exp-log` `add-cbrt-cube`
28×	`add-cube-cbrt`
27×	`associate-r`
14×	`difference-of-squares`
10×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
9×	`associate-/r*`
7×	`difference-of-sqr-1` `distribute-lft-out--`
6×	`pow1`
5×	`associate-/l*`
4×	`associate-/r/` `div-inv` `add-log-exp`
3×	`frac-2neg` `associate-l` `clear-num`
2×	`flip3--` `flip--` `unswap-sqr`
1×	`associate-r/` `pow-prod-down` `-commutative`

Counts

4 → 133

Calls

4 calls:

58.0ms	(/ z (- (/ (* x y) (* t z)) 1))
86.0ms	(* t (/ z (- (/ (* x y) (* t z)) 1)))
23.0ms	(/ (* t z) (* x y))
22.0ms	(/ (* x y) (* t z))

series277.0ms

Counts

4 → 12

Calls

4 calls:

104.0ms	(/ z (- (/ (* x y) (* t z)) 1))
83.0ms	(* t (/ z (- (/ (* x y) (* t z)) 1)))
40.0ms	(/ (* t z) (* x y))
49.0ms	(/ (* x y) (* t z))

simplify1.2s

Counts

145 → 145

Iterations

Useful iterations: 2 (352.0ms)

Iter	Nodes	Cost
0	183	2197
1	457	2101
2	1975	1853
done	5002	1853

prune438.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes157.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	10	7
done	10	7

end0.0ms

sample1.0s

Algorithm

intervals

Results

425.0ms

10393×

body

valid