Details

sample27.0ms

Algorithm

intervals

Results

12.0ms

256×

body

valid

simplify134.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	26
5	26
4	25
3	23
2	20
1	15
0	9

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize91.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 1.0 (/ (* x y) 2.0))
0.0b	(/ (* x y) 2.0)
6.6b	(/ y (+ 1.0 (/ (* x y) 2.0)))

rewrite411.0ms

Algorithm

rewrite-expression-head

Rules

24×	`*-un-lft-identity`
15×	`times-frac`
14×	`add-sqr-sqrt` `add-cube-cbrt`
10×	`add-cbrt-cube` `add-exp-log`
7×	`associate-/r*`
5×	`distribute-lft-out` `add-log-exp`
4×	`associate-/l*`
3×	`pow1` `cbrt-undiv` `div-exp` `insert-posit16`
2×	`clear-num` `frac-2neg` `flip3-+` `associate-/r/` `flip-+` `div-inv`
1×	`+-commutative` `sum-log` `prod-exp` `cbrt-unprod`

Counts

3 → 69

Calls

3 calls:

29.0ms	(+ 1.0 (/ (* x y) 2.0))
22.0ms	(/ (* x y) 2.0)
355.0ms	(/ y (+ 1.0 (/ (* x y) 2.0)))

series201.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(+ 1.0 (/ (* x y) 2.0))
29.0ms	(/ (* x y) 2.0)
117.0ms	(/ y (+ 1.0 (/ (* x y) 2.0)))

simplify3.1s

Counts

78 → 78

Iterations

Iter	Nodes
done	5000
2	1222
1	341
0	139

prune681.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize160.0ms

Local error

Found 4 expressions with local error:

2.3b	(/ y (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0)))))
6.9b	(cbrt (+ 1.0 (/ (* x y) 2.0)))
6.9b	(cbrt (+ 1.0 (/ (* x y) 2.0)))
6.9b	(cbrt (+ 1.0 (/ (* x y) 2.0)))

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-div`
15×	`*-un-lft-identity`
12×	`cbrt-prod`
9×	`add-sqr-sqrt` `flip3-+` `add-exp-log` `add-cube-cbrt` `flip-+`
8×	`associate-/r/`
7×	`add-cbrt-cube`
4×	`frac-times` `pow1` `insert-posit16` `add-log-exp`
3×	`times-frac` `pow1/3` `distribute-lft-out` `associate-/l*`
2×	`cbrt-undiv` `div-exp` `associate-l/` `associate-r/`
1×	`clear-num` `associate-/r*` `frac-2neg` `prod-exp` `cbrt-unprod` `div-inv`

Counts

4 → 75

Calls

4 calls:

51.0ms	(/ y (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0)))))
11.0ms	(cbrt (+ 1.0 (/ (* x y) 2.0)))
11.0ms	(cbrt (+ 1.0 (/ (* x y) 2.0)))
11.0ms	(cbrt (+ 1.0 (/ (* x y) 2.0)))

series2.8s

Counts

4 → 12

Calls

4 calls:

1.1s	(/ y (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0)))))
578.0ms	(cbrt (+ 1.0 (/ (* x y) 2.0)))
586.0ms	(cbrt (+ 1.0 (/ (* x y) 2.0)))
501.0ms	(cbrt (+ 1.0 (/ (* x y) 2.0)))

simplify8.1s

Counts

87 → 87

Iterations

Iter	Nodes
done	5001
3	4892
2	1258
1	431
0	177

prune1.1s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize418.0ms

Local error

Found 4 expressions with local error:

6.9b	(cbrt (- 1.0 (/ (* x y) 2.0)))
8.0b	(* (/ y (* (cbrt (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0)))) (cbrt (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0)))))) (* (cbrt (- 1.0 (/ (* x y) 2.0))) (cbrt (- 1.0 (/ (* x y) 2.0)))))
13.1b	(cbrt (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0))))
13.1b	(cbrt (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0))))

rewrite541.0ms

Algorithm

rewrite-expression-head

Rules

42×	`cbrt-div`
25×	`add-exp-log`
21×	`flip3--` `flip--`
20×	`frac-times`
15×	`add-cbrt-cube` `associate-l`
14×	`associate-*r/`
13×	`cbrt-prod` `add-sqr-sqrt`
11×	`*-un-lft-identity` `prod-exp` `cbrt-unprod`
9×	`pow1` `add-cube-cbrt`
8×	`associate-/r/`
7×	`associate-*l/`
4×	`cbrt-undiv` `times-frac` `div-exp` `insert-posit16` `add-log-exp`
3×	`pow1/3` `pow-prod-down` `difference-of-squares`
2×	`unswap-sqr`
1×	`associate-r` `*-commutative` `div-inv` `distribute-lft-out--`

Counts

4 → 104

Calls

4 calls:

12.0ms	(cbrt (- 1.0 (/ (* x y) 2.0)))
468.0ms	(* (/ y (* (cbrt (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0)))) (cbrt (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0)))))) (* (cbrt (- 1.0 (/ (* x y) 2.0))) (cbrt (- 1.0 (/ (* x y) 2.0)))))
23.0ms	(cbrt (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0))))
23.0ms	(cbrt (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0))))

series2.6s

Counts

4 → 12

Calls

4 calls:

622.0ms	(cbrt (- 1.0 (/ (* x y) 2.0)))
1.4s	(* (/ y (* (cbrt (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0)))) (cbrt (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0)))))) (* (cbrt (- 1.0 (/ (* x y) 2.0))) (cbrt (- 1.0 (/ (* x y) 2.0)))))
338.0ms	(cbrt (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0))))
280.0ms	(cbrt (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0))))

simplify5.9s

Counts

116 → 116

Iterations

Iter	Nodes
done	5001
2	2439
1	743
0	272

prune1.7s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize404.0ms

Local error

Found 4 expressions with local error:

6.9b	(cbrt (- 1.0 (/ (* x y) 2.0)))
6.9b	(cbrt (- 1.0 (/ (* x y) 2.0)))
8.0b	(* (/ y (* (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (- 1.0 (/ (* x y) 2.0)))) (cbrt (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0)))))) (* (cbrt (- 1.0 (/ (* x y) 2.0))) (cbrt (- 1.0 (/ (* x y) 2.0)))))
13.1b	(cbrt (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0))))

rewrite1.1s

Algorithm

rewrite-expression-head

Rules

84×	`cbrt-div`
44×	`frac-times`
36×	`add-exp-log`
33×	`flip3--` `associate-l` `flip--`
26×	`associate-/r/`
20×	`add-cbrt-cube` `associate-*r/`
19×	`associate-*l/`
18×	`prod-exp` `cbrt-unprod`
14×	`cbrt-prod` `add-sqr-sqrt`
13×	`*-un-lft-identity`
9×	`pow1` `flip3-+` `add-cube-cbrt` `flip-+`
6×	`cbrt-undiv` `div-exp`
4×	`insert-posit16` `add-log-exp`
3×	`times-frac` `pow1/3` `pow-prod-down` `difference-of-squares`
2×	`distribute-lft-out--`
1×	`associate-r` `*-commutative` `div-inv` `unswap-sqr`

Counts

4 → 126

Calls

4 calls:

15.0ms	(cbrt (- 1.0 (/ (* x y) 2.0)))
17.0ms	(cbrt (- 1.0 (/ (* x y) 2.0)))
1.0s	(* (/ y (* (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (- 1.0 (/ (* x y) 2.0)))) (cbrt (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0)))))) (* (cbrt (- 1.0 (/ (* x y) 2.0))) (cbrt (- 1.0 (/ (* x y) 2.0)))))
20.0ms	(cbrt (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0))))

series2.9s

Counts

4 → 12

Calls

4 calls:

602.0ms	(cbrt (- 1.0 (/ (* x y) 2.0)))
625.0ms	(cbrt (- 1.0 (/ (* x y) 2.0)))
1.2s	(* (/ y (* (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (- 1.0 (/ (* x y) 2.0)))) (cbrt (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0)))))) (* (cbrt (- 1.0 (/ (* x y) 2.0))) (cbrt (- 1.0 (/ (* x y) 2.0)))))
376.0ms	(cbrt (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0))))

simplify7.3s

Counts

138 → 138

Iterations

Iter	Nodes
done	5001
2	3322
1	922
0	326

prune2.3s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes266.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	14
1	14
0	12

end0.0ms

sample949.0ms

Algorithm

intervals

Results

646.0ms	7999×	body	80	valid
1.0ms	1×	body	2560	valid