Details

sample15.0ms

Algorithm

intervals

Results

5.0ms	252×	body	80	valid
0.0ms	3×	body	1280	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid

simplify11.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	26
4	26
3	21
2	15
1	8
0	5

prune4.0ms

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	(* 200.0 (- x y))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt`
5×	`-un-lft-identity` `associate-r*`
3×	`pow1` `add-cbrt-cube` `associate-l` `add-exp-log` `add-cube-cbrt`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip--` `distribute-lft-out--` `add-log-exp` `difference-of-squares` `unswap-sqr`

Counts

1 → 26

Calls

1 calls:

32.0ms

(* 200.0 (- x y))

series55.0ms

Counts

1 → 3

Calls

1 calls:

55.0ms

(* 200.0 (- x y))

simplify2.0s

Counts

29 → 29

Iterations

Iter	Nodes
done	5001
3	1660
2	385
1	125
0	52

prune152.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (cbrt 200.0) (- x y))
0.4b	(* (* (cbrt 200.0) (cbrt 200.0)) (* (cbrt 200.0) (- x y)))

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1` `add-exp-log`
11×	`add-sqr-sqrt`
10×	`distribute-rgt-in` `distribute-lft-in`
9×	`add-cbrt-cube` `pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`-un-lft-identity` `associate-l*`
6×	`sub-neg` `associate-r` `associate-*r/`
5×	`add-cube-cbrt`
4×	`cbrt-prod`
2×	`flip3--` `*-commutative` `flip--` `add-log-exp` `unswap-sqr`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

2 → 62

Calls

2 calls:

32.0ms	(* (cbrt 200.0) (- x y))
63.0ms	(* (* (cbrt 200.0) (cbrt 200.0)) (* (cbrt 200.0) (- x y)))

series271.0ms

Counts

2 → 6

Calls

2 calls:

109.0ms	(* (cbrt 200.0) (- x y))
162.0ms	(* (* (cbrt 200.0) (cbrt 200.0)) (* (cbrt 200.0) (- x y)))

simplify1.7s

Counts

68 → 68

Iterations

Iter	Nodes
done	5000
2	1533
1	274
0	92

prune207.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.2b	(* (sqrt 200.0) (- x y))
0.3b	(* (sqrt 200.0) (* (sqrt 200.0) (- x y)))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
12×	`associate-l`
10×	`distribute-rgt-in` `distribute-lft-in`
9×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log`
7×	`add-cube-cbrt` `sqrt-prod`
6×	`sub-neg` `associate-r` `associate-*r/`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`flip3--` `*-commutative` `flip--` `add-log-exp` `unswap-sqr`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

2 → 61

Calls

2 calls:

21.0ms	(* (sqrt 200.0) (- x y))
39.0ms	(* (sqrt 200.0) (* (sqrt 200.0) (- x y)))

series319.0ms

Counts

2 → 6

Calls

2 calls:

125.0ms	(* (sqrt 200.0) (- x y))
193.0ms	(* (sqrt 200.0) (* (sqrt 200.0) (- x y)))

simplify1.2s

Counts

67 → 67

Iterations

Iter	Nodes
done	5000
2	1172
1	231
0	86

prune232.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b	(* 200.0 (+ x y))
0.2b	(* (* 200.0 (+ x y)) (- x y))
28.6b	(/ (* (* 200.0 (+ x y)) (- x y)) (+ x y))

rewrite109.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-cbrt-cube` `add-exp-log`
18×	`associate-*r/`
16×	`*-un-lft-identity`
12×	`add-sqr-sqrt`
10×	`pow1`
9×	`associate-r`
8×	`frac-times` `flip3-+` `add-cube-cbrt` `flip-+` `associate-/l/`
7×	`prod-exp` `cbrt-unprod`
6×	`flip3--` `flip--`
4×	`associate-/r` `times-frac` `associate-l` `pow-prod-down` `associate-l/`
3×	`distribute-rgt-in` `cbrt-undiv` `distribute-lft-in` `div-exp` `distribute-lft-out` `add-log-exp`
2×	`sub-neg` `associate-/r/` `*-commutative`
1×	`clear-num` `frac-2neg` `div-inv` `associate-/l*` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 90

Calls

3 calls:

17.0ms	(* 200.0 (+ x y))
47.0ms	(* (* 200.0 (+ x y)) (- x y))
41.0ms	(/ (* (* 200.0 (+ x y)) (- x y)) (+ x y))

series170.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(* 200.0 (+ x y))
76.0ms	(* (* 200.0 (+ x y)) (- x y))
52.0ms	(/ (* (* 200.0 (+ x y)) (- x y)) (+ x y))

simplify2.5s

Counts

99 → 99

Iterations

Iter	Nodes
done	5001
2	3972
1	471
0	139

prune480.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes222.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	6
1	6
0	5

end0.0ms

sample540.0ms

Algorithm

intervals

Results

264.0ms	7929×	body	80	valid
7.0ms	54×	body	1280	valid
4.0ms	33×	body	640	valid
3.0ms	18×	body	2560	valid
2.0ms	23×	body	320	valid
1.0ms	10×	body	160	valid