Details

sample39.0ms

Algorithm

intervals

Results

12.0ms	62×	body	640	valid
7.0ms	146×	body	80	valid
4.0ms	31×	body	320	valid
2.0ms	17×	body	160	valid

simplify9.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	12
2	12
1	9
0	6

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.3b

localize17.0ms

Local error

Found 1 expressions with local error:

2.8b	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
17×	`add-sqr-sqrt`
16×	`times-frac`
8×	`distribute-lft-out--`
5×	`add-cube-cbrt`
4×	`difference-of-squares`
3×	`distribute-lft-out` `add-log-exp`
2×	`div-inv`
1×	`pow1` `sub-neg` `flip3--` `add-cbrt-cube` `diff-log` `add-exp-log` `frac-sub` `flip--`

Counts

1 → 25

Calls

1 calls:

109.0ms

(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

series111.0ms

Counts

1 → 3

Calls

1 calls:

111.0ms

(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

simplify1.9s

Counts

28 → 28

Iterations

Iter	Nodes
done	5001
3	3087
2	586
1	172
0	74

prune101.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (* (- x (+ 1.0 x)) 1.0) (* x (+ 1.0 x)))
1.9b	(- x (+ 1.0 x))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-cbrt-cube` `add-exp-log`
7×	`*-un-lft-identity` `add-log-exp`
4×	`add-sqr-sqrt` `cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
2×	`pow1` `flip3--` `diff-log` `associate-l/` `associate-r/` `associate-/r/` `add-cube-cbrt` `flip--` `distribute-lft-out--` `associate-/l/`
1×	`clear-num` `associate-/r` `sum-log` `sub-neg` `frac-2neg` `flip3-+` `times-frac` `flip-+` `div-inv` `distribute-lft-out` `associate-/l` `associate--r+` `difference-of-squares`

Counts

2 → 42

Calls

2 calls:

27.0ms	(/ (* (- x (+ 1.0 x)) 1.0) (* x (+ 1.0 x)))
18.0ms	(- x (+ 1.0 x))

series48.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(/ (* (- x (+ 1.0 x)) 1.0) (* x (+ 1.0 x)))
8.0ms	(- x (+ 1.0 x))

simplify1.1s

Counts

48 → 48

Iterations

Iter	Nodes
done	5001
2	2390
1	324
0	104

prune180.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 1 expressions with local error:

0.2b	(/ (* (- (- x x) 1.0) (- 1.0)) (- (* (+ x 1.0) x)))

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

6×	`associate-/r*` `times-frac` `add-cbrt-cube` `add-exp-log`
4×	`associate-*l/`
3×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
2×	`distribute-lft-neg-in` `cbrt-undiv` `neg-mul-1` `distribute-rgt-neg-in` `div-exp` `associate-/r/` `distribute-neg-frac` `associate-/l/`
1×	`pow1` `clear-num` `frac-2neg` `flip3-+` `flip3--` `prod-exp` `distribute-frac-neg` `distribute-rgt-neg-out` `cbrt-unprod` `flip-+` `div-inv` `flip--` `associate-/l*` `add-log-exp`

Counts

1 → 32

Calls

1 calls:

104.0ms

(/ (* (- (- x x) 1.0) (- 1.0)) (- (* (+ x 1.0) x)))

series53.0ms

Counts

1 → 3

Calls

1 calls:

53.0ms

(/ (* (- (- x x) 1.0) (- 1.0)) (- (* (+ x 1.0) x)))

simplify1.2s

Counts

35 → 35

Iterations

Iter	Nodes
done	5002
2	2331
1	323
0	104

prune112.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 1 expressions with local error:

0.1b	(/ (/ (- 1.0) (+ x 1.0)) (- x))

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

900×	`times-frac`
615×	`*-un-lft-identity`
395×	`add-sqr-sqrt` `add-cube-cbrt`
273×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
110×	`distribute-lft-out`
91×	`neg-mul-1`
46×	`associate-/l*`
22×	`associate-/r/`
12×	`div-inv`
11×	`flip3-+` `flip-+`
10×	`associate-/r*`
6×	`add-cbrt-cube` `add-exp-log`
3×	`cbrt-undiv` `div-exp`
2×	`div-sub` `distribute-frac-neg`
1×	`neg-sub0` `pow1` `clear-num` `frac-2neg` `add-log-exp` `associate-/l/`

Counts

1 → 533

Calls

1 calls:

48.0ms

(/ (/ (- 1.0) (+ x 1.0)) (- x))

series75.0ms

Counts

1 → 3

Calls

1 calls:

74.0ms

(/ (/ (- 1.0) (+ x 1.0)) (- x))

simplify901.0ms

Counts

536 → 536

Iterations

Iter	Nodes
done	5001
1	1872
0	694

prune1.4s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes36.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.6s

Iterations

Iter	Nodes
done	5000
9	4059
8	1305
7	461
6	189
5	85
4	41
3	31
2	20
1	14
0	8

end0.0ms

sample1.3s

Algorithm

intervals

Results

742.0ms	1949×	body	640	valid
201.0ms	4145×	body	80	valid
167.0ms	1279×	body	320	valid
43.0ms	627×	body	160	valid