Details

sample48.0ms

Algorithm

intervals

Results

17.0ms	76×	body	640	valid
7.0ms	122×	body	80	valid
6.0ms	39×	body	320	valid
2.0ms	19×	body	160	valid

simplify17.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	15
2	15
1	12
0	7

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.9b

localize23.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1.0 (+ x 1.0))
3.0b	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

rewrite213.0ms

Algorithm

rewrite-expression-head

Rules

65×	`*-un-lft-identity`
40×	`times-frac`
31×	`add-sqr-sqrt`
21×	`distribute-lft-out--`
19×	`add-cube-cbrt`
10×	`distribute-lft-out`
4×	`add-exp-log` `associate-/r*` `associate-/r/` `add-cbrt-cube` `add-log-exp` `difference-of-squares`
3×	`div-inv` `associate-/l*`
2×	`pow1` `flip--` `flip-+`
1×	`cbrt-undiv` `sub-neg` `flip3--` `frac-2neg` `flip3-+` `diff-log` `div-exp` `clear-num` `frac-sub`

Counts

2 → 65

Calls

2 calls:

25.0ms	(/ 1.0 (+ x 1.0))
181.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

series363.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(/ 1.0 (+ x 1.0))
320.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

simplify4.2s

Counts

71 → 71

Iterations

Iter	Nodes
done	5026
3	3892
2	958
1	318
0	133

prune415.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.5b

localize36.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ x 1.0) (- x 1.0))
0.0b	(/ (* 1.0 (- (- x 1.0) (+ x 1.0))) (* (+ x 1.0) (- x 1.0)))
2.2b	(- (- x 1.0) (+ x 1.0))

rewrite317.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 96

Calls

3 calls:

73.0ms	(* (+ x 1.0) (- x 1.0))
139.0ms	(/ (* 1.0 (- (- x 1.0) (+ x 1.0))) (* (+ x 1.0) (- x 1.0)))
96.0ms	(- (- x 1.0) (+ x 1.0))

series303.0ms

Counts

3 → 9

Calls

3 calls:

153.0ms	(* (+ x 1.0) (- x 1.0))
123.0ms	(/ (* 1.0 (- (- x 1.0) (+ x 1.0))) (* (+ x 1.0) (- x 1.0)))
27.0ms	(- (- x 1.0) (+ x 1.0))

simplify3.6s

Counts

105 → 105

Iterations

Iter	Nodes
done	5012
2	3202
1	592
0	177

prune598.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.5b

localize23.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ x 1.0) (- x 1.0))
0.5b	(/ (* 1.0 (- 2.0)) (* (+ x 1.0) (- x 1.0)))

rewrite129.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 63

Calls

2 calls:

76.0ms	(* (+ x 1.0) (- x 1.0))
48.0ms	(/ (* 1.0 (- 2.0)) (* (+ x 1.0) (- x 1.0)))

series274.0ms

Counts

2 → 6

Calls

2 calls:

146.0ms	(* (+ x 1.0) (- x 1.0))
128.0ms	(/ (* 1.0 (- 2.0)) (* (+ x 1.0) (- x 1.0)))

simplify2.8s

Counts

69 → 69

Iterations

Iter	Nodes
done	5139
2	2106
1	434
0	133

prune459.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (* 1.0 (- 2.0)) (+ x 1.0))
0.1b	(/ (/ (* 1.0 (- 2.0)) (+ x 1.0)) (- x 1.0))

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

78×	`times-frac`
65×	`*-un-lft-identity`
49×	`add-sqr-sqrt`
27×	`add-cube-cbrt`
16×	`add-exp-log` `associate-/r/` `add-cbrt-cube`
11×	`associate-/l*` `distribute-lft-out--` `difference-of-squares`
9×	`associate-/r*`
8×	`div-inv` `distribute-lft-out`
7×	`cbrt-undiv` `flip3-+` `div-exp` `flip-+`
3×	`distribute-frac-neg`
2×	`pow1` `frac-2neg` `prod-exp` `clear-num` `distribute-rgt-neg-out` `cbrt-unprod` `add-log-exp`
1×	`flip3--` `flip--` `associate-/l/`

Counts

2 → 111

Calls

2 calls:

35.0ms	(/ (* 1.0 (- 2.0)) (+ x 1.0))
62.0ms	(/ (/ (* 1.0 (- 2.0)) (+ x 1.0)) (- x 1.0))

series177.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(/ (* 1.0 (- 2.0)) (+ x 1.0))
136.0ms	(/ (/ (* 1.0 (- 2.0)) (+ x 1.0)) (- x 1.0))

simplify2.8s

Counts

117 → 117

Iterations

Iter	Nodes
done	5013
2	2241
1	586
0	204

prune677.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes96.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify15.0ms

Iterations

Iter	Nodes
done	22
3	22
2	19
1	13
0	9

end0.0ms

sample2.1s

Algorithm

intervals

Results

969.0ms	4146×	body	80	valid
575.0ms	1912×	body	640	valid
264.0ms	1277×	body	320	valid
73.0ms	665×	body	160	valid