Details

sample50.0ms

Algorithm

intervals

Results

21.0ms

256×

body

valid

simplify810.0ms

Counts

1 → 1

Iterations

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

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 2.6b

localize20.0ms

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)
4.6b	(/ y (- (* 2.0 z) (/ (* y t) z)))
5.9b	(/ (* y t) z)

rewrite98.0ms

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:

11.0ms	(- (* 2.0 z) (/ (* y t) z))
60.0ms	(* (/ y (- (* 2.0 z) (/ (* y t) z))) 2.0)
15.0ms	(/ y (- (* 2.0 z) (/ (* y t) z)))
9.0ms	(/ (* y t) z)

series508.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(- (* 2.0 z) (/ (* y t) z))
229.0ms	(* (/ y (- (* 2.0 z) (/ (* y t) z))) 2.0)
195.0ms	(/ y (- (* 2.0 z) (/ (* y t) z)))
22.0ms	(/ (* y t) z)

simplify1.0s

Counts

108 → 108

Iterations

Iter	Nodes
done	5000
2	1874
1	382
0	150

prune652.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.7b

localize20.0ms

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)
4.6b	(/ y (- (* 2.0 z) (/ y (/ z t))))
4.8b	(/ y (/ z t))

rewrite139.0ms

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:

22.0ms	(- (* 2.0 z) (/ y (/ z t)))
73.0ms	(* (/ y (- (* 2.0 z) (/ y (/ z t)))) 2.0)
25.0ms	(/ y (- (* 2.0 z) (/ y (/ z t))))
11.0ms	(/ y (/ z t))

series507.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(- (* 2.0 z) (/ y (/ z t)))
223.0ms	(* (/ y (- (* 2.0 z) (/ y (/ z t)))) 2.0)
214.0ms	(/ y (- (* 2.0 z) (/ y (/ z t))))
28.0ms	(/ y (/ z t))

simplify1.2s

Counts

157 → 157

Iterations

Iter	Nodes
done	5001
2	2866
1	622
0	243

prune963.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.7b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* y (/ 1 (- (* 2.0 z) (/ (* y t) z)))) 2.0)
0.3b	(/ 1 (- (* 2.0 z) (/ (* y t) z)))
4.6b	(* y (/ 1 (- (* 2.0 z) (/ (* y t) z))))
5.9b	(/ (* y t) z)

rewrite163.0ms

Algorithm

rewrite-expression-head

Rules

37×	`add-exp-log`
30×	`add-sqr-sqrt`
25×	`add-cbrt-cube`
24×	`*-un-lft-identity`
23×	`times-frac` `add-cube-cbrt`
18×	`associate-r`
14×	`prod-exp`
12×	`pow1`
8×	`div-exp` `cbrt-unprod`
6×	`associate-/r*`
5×	`cbrt-undiv`
4×	`associate-l` `pow-prod-down` `associate-/r/` `associate-/l*` `add-log-exp`
3×	`rec-exp` `1-exp` `div-inv` `unswap-sqr`
2×	`clear-num` `frac-2neg` `flip3--` `associate-l/` `associate-r/` `un-div-inv` `*-commutative` `flip--`
1×	`pow-flip` `inv-pow`

Counts

4 → 116

Calls

4 calls:

69.0ms	(* (* y (/ 1 (- (* 2.0 z) (/ (* y t) z)))) 2.0)
24.0ms	(/ 1 (- (* 2.0 z) (/ (* y t) z)))
52.0ms	(* y (/ 1 (- (* 2.0 z) (/ (* y t) z))))
12.0ms	(/ (* y t) z)

series551.0ms

Counts

4 → 12

Calls

4 calls:

240.0ms	(* (* y (/ 1 (- (* 2.0 z) (/ (* y t) z)))) 2.0)
51.0ms	(/ 1 (- (* 2.0 z) (/ (* y t) z)))
229.0ms	(* y (/ 1 (- (* 2.0 z) (/ (* y t) z))))
31.0ms	(/ (* y t) z)

simplify1.0s

Counts

128 → 128

Iterations

Iter	Nodes
done	5000
2	2516
1	452
0	169

prune629.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.7b

localize41.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (/ y (- (* z 2.0) (* (/ y z) t))) (sqrt 2.0))
0.4b	(* (* (/ y (- (* z 2.0) (* (/ y z) t))) (sqrt 2.0)) (sqrt 2.0))
4.6b	(/ y (- (* z 2.0) (* (/ y z) t)))
6.2b	(* (/ y z) t)

rewrite161.0ms

Algorithm

rewrite-expression-head

Rules

46×	`add-sqr-sqrt`
31×	`*-un-lft-identity` `add-cube-cbrt`
30×	`times-frac`
29×	`associate-l`
25×	`add-cbrt-cube` `add-exp-log`
15×	`associate-r`
13×	`pow1`
9×	`prod-exp` `cbrt-unprod`
8×	`sqrt-prod`
6×	`unswap-sqr`
5×	`pow-prod-down`
4×	`cbrt-undiv` `div-exp` `associate-*l/` `associate-/r/` `add-log-exp`
3×	`associate-/r` `-commutative` `div-inv` `associate-/l*`
2×	`flip3--` `flip--`
1×	`clear-num` `frac-2neg`

Counts

4 → 124

Calls

4 calls:

45.0ms	(* (/ y (- (* z 2.0) (* (/ y z) t))) (sqrt 2.0))
72.0ms	(* (* (/ y (- (* z 2.0) (* (/ y z) t))) (sqrt 2.0)) (sqrt 2.0))
20.0ms	(/ y (- (* z 2.0) (* (/ y z) t)))
18.0ms	(* (/ y z) t)

series1.1s

Counts

4 → 12

Calls

4 calls:

396.0ms	(* (/ y (- (* z 2.0) (* (/ y z) t))) (sqrt 2.0))
497.0ms	(* (* (/ y (- (* z 2.0) (* (/ y z) t))) (sqrt 2.0)) (sqrt 2.0))
226.0ms	(/ y (- (* z 2.0) (* (/ y z) t)))
30.0ms	(* (/ y z) t)

simplify1.4s

Counts

136 → 136

Iterations

Iter	Nodes
done	5002
2	2730
1	503
0	189

prune742.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.7b

regimes337.0ms

Accuracy

0% (0.5b remaining)

Error of 1.1b against oracle of 0.6b and baseline of 1.1b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	14
1	14
0	12

end0.0ms

sample1.3s

Algorithm

intervals

Results

887.0ms

8000×

body

valid