Details

sample21.0ms

Algorithm

intervals

Results

11.0ms

319×

body

valid

simplify4.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
15	4637
14	3604
13	1771
12	909
11	592
10	461
9	348
8	266
7	202
6	169
5	138
4	96
3	56
2	25
1	14
0	8

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.7b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (- y x) (/ z t)))
5.6b	(* (- y x) (/ z t))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`associate-r`
12×	`*-un-lft-identity`
10×	`times-frac` `add-cube-cbrt`
7×	`add-cbrt-cube` `add-exp-log`
5×	`associate-l`
4×	`pow1` `add-log-exp`
2×	`frac-times` `flip3--` `associate-*l/` `prod-exp` `cbrt-unprod` `insert-posit16` `flip--` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `sum-log` `flip3-+` `div-exp` `pow-prod-down` `associate-r/` `-commutative` `flip-+` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 51

Calls

2 calls:

7.0ms	(+ x (* (- y x) (/ z t)))
39.0ms	(* (- y x) (/ z t))

series97.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(+ x (* (- y x) (/ z t)))
52.0ms	(* (- y x) (/ z t))

simplify2.5s

Counts

57 → 57

Iterations

Iter	Nodes
done	5010
3	4834
2	1041
1	310
0	117

prune273.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.9b	(* (- y x) (* (cbrt (/ z t)) (cbrt (/ z t))))
10.5b	(cbrt (/ z t))
10.5b	(cbrt (/ z t))
10.5b	(cbrt (/ z t))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

39×	`cbrt-prod`
29×	`add-sqr-sqrt`
28×	`*-un-lft-identity`
27×	`times-frac`
26×	`add-cube-cbrt`
15×	`cbrt-div`
9×	`frac-times` `pow1` `add-exp-log`
7×	`add-cbrt-cube`
6×	`associate-*r/`
5×	`associate-l` `associate-*l/`
4×	`flip3--` `insert-posit16` `flip--` `add-log-exp`
3×	`pow1/3` `pow-prod-down` `prod-exp` `cbrt-unprod` `div-inv`
1×	`associate-r` `*-commutative` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 102

Calls

4 calls:

57.0ms	(* (- y x) (* (cbrt (/ z t)) (cbrt (/ z t))))
2.0ms	(cbrt (/ z t))
4.0ms	(cbrt (/ z t))
4.0ms	(cbrt (/ z t))

series468.0ms

Counts

4 → 12

Calls

4 calls:

175.0ms	(* (- y x) (* (cbrt (/ z t)) (cbrt (/ z t))))
98.0ms	(cbrt (/ z t))
91.0ms	(cbrt (/ z t))
104.0ms	(cbrt (/ z t))

simplify1.6s

Counts

114 → 114

Iterations

Iter	Nodes
done	5013
3	2819
2	841
1	341
0	164

prune695.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize68.0ms

Local error

Found 4 expressions with local error:

0.9b	(* (- y x) (* (cbrt (/ z t)) (* (cbrt (/ 1 (* (cbrt t) (cbrt t)))) (cbrt (/ z (cbrt t))))))
2.4b	(cbrt (/ z (cbrt t)))
10.5b	(cbrt (/ z t))
10.5b	(cbrt (/ z t))

rewrite184.0ms

Algorithm

rewrite-expression-head

Rules

57×	`cbrt-prod`
39×	`cbrt-div`
36×	`times-frac`
34×	`add-sqr-sqrt` `*-un-lft-identity`
32×	`add-cube-cbrt`
29×	`frac-times`
22×	`associate-*r/`
13×	`pow1` `add-exp-log`
11×	`associate-*l/`
9×	`add-cbrt-cube`
8×	`flip3--` `flip--`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`associate-l`
4×	`insert-posit16` `add-log-exp`
3×	`pow1/3` `div-inv`
1×	`associate-r` `*-commutative` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 125

Calls

4 calls:

161.0ms	(* (- y x) (* (cbrt (/ z t)) (* (cbrt (/ 1 (* (cbrt t) (cbrt t)))) (cbrt (/ z (cbrt t))))))
3.0ms	(cbrt (/ z (cbrt t)))
4.0ms	(cbrt (/ z t))
9.0ms	(cbrt (/ z t))

series518.0ms

Counts

4 → 12

Calls

4 calls:

161.0ms	(* (- y x) (* (cbrt (/ z t)) (* (cbrt (/ 1 (* (cbrt t) (cbrt t)))) (cbrt (/ z (cbrt t))))))
212.0ms	(cbrt (/ z (cbrt t)))
78.0ms	(cbrt (/ z t))
67.0ms	(cbrt (/ z t))

simplify2.0s

Counts

137 → 137

Iterations

Iter	Nodes
done	5001
2	2111
1	612
0	283

prune1.1s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)
4.5b	(* (/ (/ (- y x) (cbrt t)) (cbrt t)) (/ z (cbrt t)))

rewrite204.0ms

Algorithm

rewrite-expression-head

Rules

446×	`times-frac`
349×	`add-sqr-sqrt`
263×	`*-un-lft-identity`
232×	`cbrt-prod`
208×	`associate-l`
191×	`add-cube-cbrt`
36×	`distribute-lft-out--` `difference-of-squares`
25×	`add-exp-log`
22×	`associate-r`
21×	`unswap-sqr`
16×	`add-cbrt-cube`
9×	`cbrt-undiv` `div-exp`
8×	`div-inv`
6×	`pow1` `prod-exp` `cbrt-unprod`
4×	`insert-posit16` `add-log-exp`
3×	`pow1/3`
1×	`frac-times` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`

Counts

4 → 312

Calls

4 calls:

1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)
179.0ms	(* (/ (/ (- y x) (cbrt t)) (cbrt t)) (/ z (cbrt t)))

series923.0ms

Counts

4 → 12

Calls

4 calls:

262.0ms	(cbrt t)
275.0ms	(cbrt t)
276.0ms	(cbrt t)
110.0ms	(* (/ (/ (- y x) (cbrt t)) (cbrt t)) (/ z (cbrt t)))

simplify2.4s

Counts

324 → 324

Iterations

Iter	Nodes
done	5007
2	4259
1	1114
0	328

prune2.0s

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0b

regimes584.0ms

Accuracy

23.9% (1.5b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 2.0b

bsearch102.0ms

Steps

Iters	Range		Point
10	443.57959014112146	1894903939847283.5	177647641881842.78
6	-8.919709556542071e+17	-9.923084993726549e+16	-6.207004724646703e+17

simplify10.0ms

Iterations

Iter	Nodes
done	35
1	35
0	25

end0.0ms

sample1.3s

Algorithm

intervals

Results

536.0ms

10701×

body

valid