Details

sample34.0ms

Algorithm

intervals

Results

18.0ms

256×

body

valid

simplify9.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	9
2	9
1	8
0	5

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 1 expressions with local error:

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

rewrite54.0ms

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-cbrt-cube` `add-exp-log`
2×	`associate-/r/` `associate-/l/`
1×	`pow1` `cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `flip3--` `div-exp` `flip-+` `insert-posit16` `div-inv` `flip--` `add-log-exp`

Counts

1 → 46

Calls

1 calls:

52.0ms

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

series73.0ms

Counts

1 → 3

Calls

1 calls:

73.0ms

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

simplify1.3s

Counts

49 → 49

Iterations

Iter	Nodes
done	5020
3	1628
2	468
1	176
0	77

prune159.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite1.7s

Algorithm

rewrite-expression-head

Rules

6118×	`frac-times`
4463×	`*-un-lft-identity`
3422×	`cbrt-div`
3405×	`associate-/r*`
2964×	`add-sqr-sqrt`
2756×	`associate-/l*`
1453×	`add-cube-cbrt`
1362×	`associate-/l/`
755×	`distribute-lft-out`
729×	`distribute-lft-out--`
717×	`difference-of-squares`
697×	`clear-num`
681×	`frac-2neg` `flip3-+` `flip-+`
437×	`associate-*l/`
229×	`times-frac`
224×	`associate-*r/`
158×	`cbrt-prod`
135×	`associate-l`
52×	`swap-sqr` `associate-r`
48×	`un-div-inv`
30×	`unswap-sqr`
16×	`associate-/r/`
10×	`add-cbrt-cube` `add-exp-log`
8×	`flip3--` `div-inv` `flip--`
5×	`*-commutative`
4×	`pow1` `insert-posit16` `add-log-exp`
3×	`cbrt-undiv` `div-exp`
2×	`pow3` `rem-cbrt-cube`
1×	`pow1/3`

Counts

4 → 3729

Calls

4 calls:

40.0ms	(/ (+ x y) (- x y))
49.0ms	(/ (+ x y) (- x y))
34.0ms	(/ (+ x y) (- x y))
1.0s	(cbrt (* (* (/ (+ x y) (- x y)) (/ (+ x y) (- x y))) (/ (+ x y) (- x y))))

series432.0ms

Counts

4 → 12

Calls

4 calls:

119.0ms	(/ (+ x y) (- x y))
108.0ms	(/ (+ x y) (- x y))
81.0ms	(/ (+ x y) (- x y))
124.0ms	(cbrt (* (* (/ (+ x y) (- x y)) (/ (+ x y) (- x y))) (/ (+ x y) (- x y))))

simplify5.4s

Counts

3741 → 3741

Iterations

Iter	Nodes
done	6147
0	6147

prune14.5s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ (- x y) (+ x y)) (- x y))
0.0b	(/ (cbrt (* (/ (+ x y) (- x y)) (+ x y))) (cbrt (* (/ (- x y) (+ x y)) (- x y))))
0.7b	(cbrt (* (/ (+ x y) (- x y)) (+ x y)))
0.7b	(cbrt (* (/ (- x y) (+ x y)) (- x y)))

rewrite993.0ms

Algorithm

rewrite-expression-head

Rules

3446×	`times-frac`
3187×	`cbrt-prod`
2928×	`*-un-lft-identity`
2382×	`add-sqr-sqrt`
2236×	`associate-l`
1148×	`add-cube-cbrt`
488×	`distribute-lft-out`
402×	`distribute-lft-out--` `difference-of-squares`
387×	`associate-r`
216×	`associate-/r/`
176×	`cbrt-div`
172×	`unswap-sqr`
140×	`frac-times`
109×	`associate-/l*`
107×	`associate-/r*`
97×	`flip3--` `flip--`
87×	`div-inv`
86×	`*-commutative`
79×	`flip3-+` `flip-+`
74×	`associate-/l/`
70×	`associate-*l/`
16×	`clear-num` `frac-2neg`
13×	`add-cbrt-cube`
11×	`add-exp-log`
10×	`associate-*r/`
6×	`pow1`
5×	`cbrt-undiv`
4×	`insert-posit16` `add-log-exp`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `pow1/3` `div-exp` `prod-exp` `cbrt-unprod`
1×	`pow-prod-down`

Counts

4 → 2101

Calls

4 calls:

97.0ms	(* (/ (- x y) (+ x y)) (- x y))
375.0ms	(/ (cbrt (* (/ (+ x y) (- x y)) (+ x y))) (cbrt (* (/ (- x y) (+ x y)) (- x y))))
122.0ms	(cbrt (* (/ (+ x y) (- x y)) (+ x y)))
98.0ms	(cbrt (* (/ (- x y) (+ x y)) (- x y)))

series756.0ms

Counts

4 → 12

Calls

4 calls:

112.0ms	(* (/ (- x y) (+ x y)) (- x y))
171.0ms	(/ (cbrt (* (/ (+ x y) (- x y)) (+ x y))) (cbrt (* (/ (- x y) (+ x y)) (- x y))))
238.0ms	(cbrt (* (/ (+ x y) (- x y)) (+ x y)))
235.0ms	(cbrt (* (/ (- x y) (+ x y)) (- x y)))

simplify4.3s

Counts

2113 → 2113

Iterations

Iter	Nodes
done	5000
1	3277
0	2166

prune8.2s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1 (- x y))
0.2b	(* (/ 1 (- x y)) (+ x y))

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

55×	`add-sqr-sqrt`
51×	`*-un-lft-identity`
32×	`times-frac`
28×	`add-cube-cbrt`
22×	`frac-times`
21×	`associate-l`
20×	`associate-/r*`
15×	`add-exp-log`
12×	`flip3-+` `flip-+` `associate-/l*`
11×	`associate-*l/`
10×	`distribute-lft-out--` `difference-of-squares`
9×	`add-cbrt-cube`
5×	`pow1`
4×	`clear-num` `frac-2neg` `div-exp` `associate-r` `prod-exp` `associate-/r/`
3×	`unswap-sqr`
2×	`distribute-rgt-in` `cbrt-undiv` `+-commutative` `rec-exp` `distribute-lft-in` `flip3--` `1-exp` `associate-*r/` `cbrt-unprod` `insert-posit16` `div-inv` `flip--` `add-log-exp`
1×	`pow-prod-down` `*-commutative` `pow-flip` `distribute-lft-out` `inv-pow`

Counts

2 → 125

Calls

2 calls:

14.0ms	(/ 1 (- x y))
69.0ms	(* (/ 1 (- x y)) (+ x y))

series141.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(/ 1 (- x y))
90.0ms	(* (/ 1 (- x y)) (+ x y))

simplify1.8s

Counts

131 → 131

Iterations

Iter	Nodes
done	5001
2	2218
1	675
0	162

prune384.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes116.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	10
1	10
0	8

end0.0ms

sample723.0ms

Algorithm

intervals

Results

541.0ms

8000×

body

valid