Details

sample18.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify5.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	8	7
2	9	7
done	9	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ (+ x y) (- x y))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
22×	`add-sqr-sqrt`
20×	`times-frac`
12×	`add-cube-cbrt`
6×	`distribute-lft-out`
5×	`associate-/r*` `distribute-lft-out--` `difference-of-squares`
4×	`associate-/l*`
3×	`add-exp-log` `add-cbrt-cube`
2×	`associate-/r/` `associate-/l/`
1×	`pow1` `cbrt-undiv` `expm1-log1p-u` `flip3--` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip--` `flip-+` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 47

Calls

1 calls:

27.0ms

(/ (+ x y) (- x y))

series107.0ms

Counts

1 → 3

Calls

1 calls:

106.0ms

(/ (+ x y) (- x y))

simplify3.6s

Counts

50 → 50

Iterations

Useful iterations: 3 (337.0ms)

Iter	Nodes	Cost
0	78	606
1	175	582
2	454	554
3	1120	547
4	3134	547
done	5002	547

prune107.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* (cbrt (/ (+ x y) (- x y))) (cbrt (/ (+ x y) (- x y)))) (cbrt (/ (+ x y) (- x y))))
0.0b	(/ (+ x y) (- x y))
0.0b	(/ (+ x y) (- x y))
0.0b	(/ (+ x y) (- x y))

rewrite255.0ms

Algorithm

rewrite-expression-head

Rules

132×	`*-un-lft-identity`
90×	`add-sqr-sqrt`
81×	`times-frac`
48×	`add-cube-cbrt`
29×	`associate-r`
28×	`cbrt-prod`
23×	`pow1` `distribute-lft-out`
19×	`distribute-lft-out--` `difference-of-squares`
15×	`add-exp-log` `associate-/r*`
12×	`cbrt-div` `associate-/l*`
11×	`add-cbrt-cube`
9×	`pow1/3` `pow-prod-up`
8×	`associate-/r/`
6×	`pow-plus` `associate-/l/`
5×	`frac-times` `pow-prod-down` `associate-*l/`
4×	`expm1-log1p-u` `flip3--` `flip--` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`cbrt-undiv` `frac-2neg` `flip3-+` `associate-*r/` `div-exp` `prod-exp` `clear-num` `pow-sqr` `cbrt-unprod` `flip-+` `unswap-sqr`
2×	`pow2`
1×	`associate-l` `pow3` `*-commutative`

Counts

4 → 209

Calls

4 calls:

158.0ms	(* (* (cbrt (/ (+ x y) (- x y))) (cbrt (/ (+ x y) (- x y)))) (cbrt (/ (+ x y) (- x y))))
25.0ms	(/ (+ x y) (- x y))
30.0ms	(/ (+ x y) (- x y))
30.0ms	(/ (+ x y) (- x y))

series426.0ms

Counts

4 → 12

Calls

4 calls:

122.0ms	(* (* (cbrt (/ (+ x y) (- x y))) (cbrt (/ (+ x y) (- x y)))) (cbrt (/ (+ x y) (- x y))))
106.0ms	(/ (+ x y) (- x y))
104.0ms	(/ (+ x y) (- x y))
94.0ms	(/ (+ x y) (- x y))

simplify2.2s

Counts

221 → 221

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	160	3503
1	356	3345
2	913	2921
3	1921	2828
done	5000	2825

prune515.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(cbrt (pow (/ (+ x y) (- x y)) 3))
0.0b	(pow (/ (+ x y) (- x y)) 3)
0.0b	(/ (+ x y) (- x y))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

150×	`*-un-lft-identity`
100×	`times-frac`
98×	`add-sqr-sqrt`
58×	`cbrt-prod`
56×	`add-cube-cbrt`
52×	`unpow-prod-down` `cube-prod`
26×	`distribute-lft-out`
21×	`distribute-lft-out--` `difference-of-squares`
10×	`associate-/r/`
8×	`add-exp-log` `add-cbrt-cube`
5×	`flip3--` `associate-/r*` `flip--` `div-inv`
4×	`pow1` `associate-/l*`
3×	`expm1-log1p-u` `pow-unpow` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `cube-div` `cube-mult` `unpow3` `div-exp` `pow-exp` `associate-/l/` `rem-cube-cbrt` `sqr-pow`
1×	`pow-to-exp` `cbrt-div` `pow-pow` `frac-2neg` `flip3-+` `pow1/3` `clear-num` `rem-cbrt-cube` `flip-+`

Counts

3 → 191

Calls

3 calls:

24.0ms	(cbrt (pow (/ (+ x y) (- x y)) 3))
23.0ms	(pow (/ (+ x y) (- x y)) 3)
31.0ms	(/ (+ x y) (- x y))

series308.0ms

Counts

3 → 9

Calls

3 calls:

118.0ms	(cbrt (pow (/ (+ x y) (- x y)) 3))
108.0ms	(pow (/ (+ x y) (- x y)) 3)
82.0ms	(/ (+ x y) (- x y))

simplify1.3s

Counts

200 → 200

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	181	3402
1	489	2822
2	1545	2604
done	5000	2574

prune423.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- x y))
0.5b	(cbrt (- x y))
0.5b	(cbrt (- x y))
0.5b	(* (cbrt (- x y)) (cbrt (- x y)))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `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 → 109

Calls

4 calls:

6.0ms	(cbrt (- x y))
7.0ms	(cbrt (- x y))
6.0ms	(cbrt (- x y))
64.0ms	(* (cbrt (- x y)) (cbrt (- x y)))

series808.0ms

Counts

4 → 12

Calls

4 calls:

218.0ms	(cbrt (- x y))
202.0ms	(cbrt (- x y))
199.0ms	(cbrt (- x y))
188.0ms	(* (cbrt (- x y)) (cbrt (- x y)))

simplify2.7s

Counts

121 → 121

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	135	1434
1	271	1320
2	649	1262
3	1436	1156
4	3901	1116
done	5001	1112

prune273.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes71.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	26
1	10	26
done	10	26

end0.0ms

sample536.0ms

Algorithm

intervals

Results

265.0ms

8000×

body

valid