Details

sample30.0ms

Algorithm

intervals

Results

12.0ms

256×

body

valid

simplify991.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
5	1610
4	348
3	141
2	60
1	25
0	13

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.2b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 2.0 z) (/ (* y t) z))
0.0b	(* (/ y (- (* 2.0 z) (/ (* y t) z))) 2.0)
5.0b	(/ y (- (* 2.0 z) (/ (* y t) z)))
5.3b	(/ (* y t) z)

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
22×	`*-un-lft-identity` `times-frac` `add-cube-cbrt`
16×	`add-cbrt-cube` `add-exp-log`
15×	`associate-l`
6×	`pow1` `associate-/r*` `add-log-exp`
4×	`cbrt-undiv` `div-exp` `associate-/r/` `associate-/l*`
3×	`flip3--` `associate-r` `prod-exp` `cbrt-unprod` `div-inv` `flip--`
2×	`clear-num` `frac-2neg` `unswap-sqr`
1×	`sub-neg` `diff-log` `pow-prod-down` `associate-l/` `-commutative`

Counts

4 → 96

Calls

4 calls:

12.0ms	(- (* 2.0 z) (/ (* y t) z))
63.0ms	(* (/ y (- (* 2.0 z) (/ (* y t) z))) 2.0)
20.0ms	(/ y (- (* 2.0 z) (/ (* y t) z)))
8.0ms	(/ (* y t) z)

series550.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(- (* 2.0 z) (/ (* y t) z))
230.0ms	(* (/ y (- (* 2.0 z) (/ (* y t) z))) 2.0)
235.0ms	(/ y (- (* 2.0 z) (/ (* y t) z)))
21.0ms	(/ (* y t) z)

simplify1.3s

Counts

108 → 108

Iterations

Iter	Nodes
done	5000
2	1874
1	382
0	150

prune591.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 2.0 z) (/ y (/ z t)))
0.0b	(* (/ y (- (* 2.0 z) (/ y (/ z t)))) 2.0)
5.0b	(/ y (- (* 2.0 z) (/ y (/ z t))))
5.0b	(/ y (/ z t))

rewrite165.0ms

Algorithm

rewrite-expression-head

Rules

94×	`times-frac`
67×	`add-sqr-sqrt`
62×	`*-un-lft-identity` `add-cube-cbrt`
16×	`associate-/r*` `add-cbrt-cube` `add-exp-log`
15×	`associate-l`
7×	`div-inv`
6×	`pow1` `associate-/l*` `add-log-exp`
5×	`cbrt-undiv` `div-exp` `associate-/r/`
3×	`flip3--` `associate-r` `flip--`
2×	`clear-num` `frac-2neg` `prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`sub-neg` `diff-log` `pow-prod-down` `associate-l/` `-commutative`

Counts

4 → 145

Calls

4 calls:

23.0ms	(- (* 2.0 z) (/ y (/ z t)))
90.0ms	(* (/ y (- (* 2.0 z) (/ y (/ z t)))) 2.0)
33.0ms	(/ y (- (* 2.0 z) (/ y (/ z t))))
10.0ms	(/ y (/ z t))

series565.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(- (* 2.0 z) (/ y (/ z t)))
237.0ms	(* (/ y (- (* 2.0 z) (/ y (/ z t)))) 2.0)
247.0ms	(/ y (- (* 2.0 z) (/ y (/ z t))))
26.0ms	(/ y (/ z t))

simplify1.5s

Counts

157 → 157

Iterations

Iter	Nodes
done	5001
2	2866
1	622
0	243

prune967.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ 1 (/ (- (* 2.0 z) (/ y (/ z t))) y)) 2.0)
0.5b	(/ 1 (/ (- (* 2.0 z) (/ y (/ z t))) y))
5.0b	(/ (- (* 2.0 z) (/ y (/ z t))) y)
5.0b	(/ y (/ z t))

rewrite240.0ms

Algorithm

rewrite-expression-head

Rules

231×	`times-frac`
146×	`add-sqr-sqrt`
134×	`*-un-lft-identity`
132×	`add-cube-cbrt`
44×	`associate-l`
41×	`add-exp-log`
29×	`associate-/r*`
25×	`add-cbrt-cube`
18×	`div-exp`
15×	`div-inv`
10×	`cbrt-undiv`
9×	`associate-/l*`
7×	`pow1` `prod-exp`
5×	`unswap-sqr`
4×	`rec-exp` `1-exp` `add-log-exp`
3×	`clear-num` `frac-2neg` `associate-r` `associate-/r/` `cbrt-unprod`
2×	`associate-/l/`
1×	`flip3--` `div-sub` `pow-prod-down` `associate-l/` `-commutative` `pow-flip` `flip--` `inv-pow`

Counts

4 → 248

Calls

4 calls:

102.0ms	(* (/ 1 (/ (- (* 2.0 z) (/ y (/ z t))) y)) 2.0)
47.0ms	(/ 1 (/ (- (* 2.0 z) (/ y (/ z t))) y))
67.0ms	(/ (- (* 2.0 z) (/ y (/ z t))) y)
7.0ms	(/ y (/ z t))

series191.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* (/ 1 (/ (- (* 2.0 z) (/ y (/ z t))) y)) 2.0)
45.0ms	(/ 1 (/ (- (* 2.0 z) (/ y (/ z t))) y))
67.0ms	(/ (- (* 2.0 z) (/ y (/ z t))) y)
35.0ms	(/ y (/ z t))

simplify935.0ms

Counts

260 → 260

Iterations

Iter	Nodes
done	5000
1	1025
0	371

prune1.6s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize26.0ms

Local error

Found 2 expressions with local error:

0.7b	(- (* (* z 2.0) z) (* y t))
17.5b	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-cbrt-cube` `add-exp-log`
4×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt` `add-log-exp`
3×	`cbrt-undiv` `associate-/r*` `times-frac` `div-exp` `prod-exp` `cbrt-unprod`
2×	`pow1` `flip3--` `associate-/r/` `flip--`
1×	`clear-num` `sub-neg` `frac-2neg` `diff-log` `div-inv` `associate-/l*`

Counts

2 → 37

Calls

2 calls:

16.0ms	(- (* (* z 2.0) z) (* y t))
55.0ms	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

series307.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(- (* (* z 2.0) z) (* y t))
259.0ms	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

simplify1.3s

Counts

43 → 43

Iterations

Iter	Nodes
done	5000
2	1692
1	271
0	90

prune235.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes399.0ms

Accuracy

0% (0.5b remaining)

Error of 0.9b against oracle of 0.4b and baseline of 0.9b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	14
1	14
0	12

end0.0ms

sample1.5s

Algorithm

intervals

Results

998.0ms

8000×

body

valid