Details

sample39.0ms

Algorithm

intervals

Results

16.0ms

317×

body

valid

simplify499.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	16	7
2	42	7
3	82	7
4	166	7
5	294	7
6	306	7
done	306	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (+ x y) (+ z 1.0))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

7×	`*-un-lft-identity`
6×	`flip3-+` `flip-+`
5×	`add-sqr-sqrt`
4×	`frac-times` `associate-r` `associate-l`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
2×	`associate-r/` `associate-l/` `distribute-lft-out`
1×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `add-log-exp` `unswap-sqr`

Counts

1 → 30

Calls

1 calls:

74.0ms

(* (+ x y) (+ z 1.0))

series122.0ms

Counts

1 → 3

Calls

1 calls:

122.0ms

(* (+ x y) (+ z 1.0))

simplify3.5s

Counts

33 → 33

Iterations

Useful iterations: done (3.4s)

Iter	Nodes	Cost
0	79	415
1	277	396
2	1321	370
done	5000	368

prune394.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (+ z 1.0))
0.2b	(cbrt (+ z 1.0))
0.2b	(cbrt (+ z 1.0))
0.2b	(* (cbrt (+ z 1.0)) (cbrt (+ z 1.0)))

rewrite128.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 95

Calls

4 calls:

7.0ms	(cbrt (+ z 1.0))
7.0ms	(cbrt (+ z 1.0))
7.0ms	(cbrt (+ z 1.0))
84.0ms	(* (cbrt (+ z 1.0)) (cbrt (+ z 1.0)))

series1.2s

Counts

4 → 12

Calls

4 calls:

219.0ms	(cbrt (+ z 1.0))
173.0ms	(cbrt (+ z 1.0))
402.0ms	(cbrt (+ z 1.0))
365.0ms	(* (cbrt (+ z 1.0)) (cbrt (+ z 1.0)))

simplify2.3s

Counts

107 → 107

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	139	1485
1	331	1358
2	1213	1288
done	5000	1224

prune1.0s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize295.0ms

Local error

Found 4 expressions with local error:

6.6b	(/ (* (cbrt (- (* z z) (* 1.0 1.0))) (cbrt (+ (pow z 3) (pow 1.0 3)))) (* (cbrt (- z 1.0)) (cbrt (+ (* z z) (* 1.0 (- 1.0 z))))))
8.6b	(cbrt (- (* z z) (* 1.0 1.0)))
8.6b	(cbrt (+ (* z z) (* 1.0 (- 1.0 z))))
11.9b	(cbrt (+ (pow z 3) (pow 1.0 3)))

rewrite241.0ms

Algorithm

rewrite-expression-head

Rules

30×	`cbrt-div`
17×	`*-un-lft-identity`
16×	`add-exp-log` `cbrt-prod`
8×	`frac-times` `flip3-+` `associate-/r/` `add-cbrt-cube` `flip-+` `associate-/l/`
7×	`add-sqr-sqrt` `add-cube-cbrt` `flip3--` `flip--`
5×	`distribute-lft-out`
4×	`pow1` `cbrt-undiv` `unpow-prod-down` `cube-prod` `associate-r/` `div-exp` `associate-l/` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`pow1/3`
1×	`frac-2neg` `times-frac` `clear-num` `associate-/r` `sum-cubes` `div-inv` `associate-/l` `difference-of-squares`

Counts

4 → 83

Calls

4 calls:

177.0ms	(/ (* (cbrt (- (* z z) (* 1.0 1.0))) (cbrt (+ (pow z 3) (pow 1.0 3)))) (* (cbrt (- z 1.0)) (cbrt (+ (* z z) (* 1.0 (- 1.0 z))))))
12.0ms	(cbrt (- (* z z) (* 1.0 1.0)))
10.0ms	(cbrt (+ (* z z) (* 1.0 (- 1.0 z))))
36.0ms	(cbrt (+ (pow z 3) (pow 1.0 3)))

series2.5s

Counts

4 → 12

Calls

4 calls:

693.0ms	(/ (* (cbrt (- (* z z) (* 1.0 1.0))) (cbrt (+ (pow z 3) (pow 1.0 3)))) (* (cbrt (- z 1.0)) (cbrt (+ (* z z) (* 1.0 (- 1.0 z))))))
589.0ms	(cbrt (- (* z z) (* 1.0 1.0)))
204.0ms	(cbrt (+ (* z z) (* 1.0 (- 1.0 z))))
975.0ms	(cbrt (+ (pow z 3) (pow 1.0 3)))

simplify5.1s

Counts

95 → 95

Iterations

Useful iterations: done (5.0s)

Iter	Nodes	Cost
0	285	2695
1	809	2527
2	3490	2216
done	5000	2190

prune2.9s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ z 1.0))
0.0b	(sqrt (+ z 1.0))
0.1b	(* (sqrt (+ z 1.0)) (+ x y))
0.1b	(* (* (sqrt (+ z 1.0)) (+ x y)) (sqrt (+ z 1.0)))

rewrite481.0ms

Algorithm

rewrite-expression-head

Rules

46×	`sqrt-div`
35×	`flip3-+` `flip-+`
32×	`frac-times`
21×	`*-un-lft-identity`
17×	`add-sqr-sqrt` `sqrt-prod`
16×	`associate-*l/`
13×	`pow1`
11×	`add-exp-log` `add-cube-cbrt` `associate-r` `add-cbrt-cube`
10×	`associate-*r/`
8×	`associate-l`
5×	`distribute-lft-out`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `*-commutative` `unswap-sqr`
1×	`distribute-rgt-in` `distribute-lft-in`

Counts

4 → 114

Calls

4 calls:

16.0ms	(sqrt (+ z 1.0))
20.0ms	(sqrt (+ z 1.0))
135.0ms	(* (sqrt (+ z 1.0)) (+ x y))
283.0ms	(* (* (sqrt (+ z 1.0)) (+ x y)) (sqrt (+ z 1.0)))

series1.1s

Counts

4 → 12

Calls

4 calls:

82.0ms	(sqrt (+ z 1.0))
68.0ms	(sqrt (+ z 1.0))
718.0ms	(* (sqrt (+ z 1.0)) (+ x y))
235.0ms	(* (* (sqrt (+ z 1.0)) (+ x y)) (sqrt (+ z 1.0)))

simplify7.1s

Counts

126 → 126

Iterations

Useful iterations: done (6.8s)

Iter	Nodes	Cost
0	190	2180
1	544	2017
2	2744	1869
done	5001	1715

prune2.2s

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes888.0ms

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

sample3.3s

Algorithm

intervals

Results

1.3s	10110×	body	80	valid
0.0ms	2×	body	640	valid