Details

sample27.0ms

Algorithm

intervals

Results

9.0ms	252×	body	80	valid
0.0ms	3×	body	1280	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid

simplify25.0ms

Counts

1 → 1

Iterations

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 1 expressions with local error:

0.0b	(* 200.0 (- x y))

rewrite39.0ms

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:

37.0ms

(* 200.0 (- x y))

series83.0ms

Counts

1 → 3

Calls

1 calls:

83.0ms

(* 200.0 (- x y))

simplify2.1s

Counts

29 → 29

Iterations

Iter	Nodes
done	5003
3	1093
2	317
1	121
0	52

prune135.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize12.0ms

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)))

rewrite79.0ms

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:

20.0ms	(* (cbrt 200.0) (- x y))
57.0ms	(* (* (cbrt 200.0) (cbrt 200.0)) (* (cbrt 200.0) (- x y)))

series255.0ms

Counts

2 → 6

Calls

2 calls:

97.0ms	(* (cbrt 200.0) (- x y))
158.0ms	(* (* (cbrt 200.0) (cbrt 200.0)) (* (cbrt 200.0) (- x y)))

simplify3.4s

Counts

68 → 68

Iterations

Iter	Nodes
done	5001
3	3653
2	913
1	272
0	92

prune233.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize21.0ms

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)))

rewrite107.0ms

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:

38.0ms	(* (sqrt 200.0) (- x y))
67.0ms	(* (sqrt 200.0) (* (sqrt 200.0) (- x y)))

series309.0ms

Counts

2 → 6

Calls

2 calls:

138.0ms	(* (sqrt 200.0) (- x y))
171.0ms	(* (sqrt 200.0) (* (sqrt 200.0) (- x y)))

simplify2.6s

Counts

67 → 67

Iterations

Iter	Nodes
done	5000
3	3027
2	728
1	228
0	86

prune260.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize16.0ms

Local error

Found 3 expressions with local error:

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

rewrite130.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 88

Calls

3 calls:

27.0ms	(* (+ x y) 200.0)
43.0ms	(* (* (+ x y) 200.0) (- x y))
55.0ms	(/ (* (* (+ x y) 200.0) (- x y)) (+ x y))

series188.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(* (+ x y) 200.0)
92.0ms	(* (* (+ x y) 200.0) (- x y))
47.0ms	(/ (* (* (+ x y) 200.0) (- x y)) (+ x y))

simplify2.8s

Counts

97 → 97

Iterations

Iter	Nodes
done	5000
2	2100
1	446
0	139

prune393.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes170.0ms

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

sample446.0ms

Algorithm

intervals

Results

243.0ms	7929×	body	80	valid
5.0ms	54×	body	1280	valid
2.0ms	33×	body	640	valid
2.0ms	18×	body	2560	valid
2.0ms	23×	body	320	valid
0.0ms	10×	body	160	valid