Details

sample45.0ms

Algorithm

intervals

Results

15.0ms	58×	body	1280	valid
7.0ms	139×	body	80	valid
7.0ms	36×	body	640	valid
2.0ms	15×	body	320	valid
1.0ms	8×	body	160	valid

simplify7.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.7b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ x (+ x 1.0))
0.0b	(/ (+ x 1.0) (- x 1.0))
2.9b	(- (/ x (+ x 1.0)) (/ (+ x 1.0) (- x 1.0)))

rewrite175.0ms

Algorithm

rewrite-expression-head

Rules

99×	`*-un-lft-identity`
52×	`times-frac`
45×	`add-sqr-sqrt`
23×	`add-cube-cbrt`
18×	`distribute-lft-out` `distribute-lft-out--`
9×	`associate-/r*` `difference-of-squares`
7×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
5×	`add-log-exp`
4×	`associate-/r/`
3×	`pow1`
2×	`cbrt-undiv` `flip3--` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip--` `flip-+` `div-inv` `associate-/l/`
1×	`sub-neg` `diff-log` `frac-sub`

Counts

3 → 104

Calls

3 calls:

11.0ms	(/ x (+ x 1.0))
25.0ms	(/ (+ x 1.0) (- x 1.0))
134.0ms	(- (/ x (+ x 1.0)) (/ (+ x 1.0) (- x 1.0)))

series252.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(/ x (+ x 1.0))
46.0ms	(/ (+ x 1.0) (- x 1.0))
160.0ms	(- (/ x (+ x 1.0)) (/ (+ x 1.0) (- x 1.0)))

simplify63.0ms

Counts: 113 → 113

prune212.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ x 1.0) (- x 1.0))
0.0b	(/ x (+ x 1.0))
2.9b	(log (exp (- (/ x (+ x 1.0)) (/ (+ x 1.0) (- x 1.0)))))
2.9b	(- (/ x (+ x 1.0)) (/ (+ x 1.0) (- x 1.0)))

rewrite467.0ms

Algorithm

rewrite-expression-head

Rules

148×	`*-un-lft-identity`
72×	`times-frac`
60×	`add-sqr-sqrt`
31×	`distribute-lft-out--`
26×	`add-cube-cbrt` `distribute-lft-out`
17×	`log-pow`
16×	`exp-prod`
13×	`difference-of-squares`
9×	`associate-/r*`
8×	`add-exp-log` `add-cbrt-cube`
7×	`associate-/l*`
6×	`add-log-exp`
5×	`pow1` `log-prod`
4×	`associate-/r/`
2×	`cbrt-undiv` `sub-neg` `flip3--` `frac-2neg` `flip3-+` `div-exp` `exp-sum` `clear-num` `flip--` `flip-+` `div-inv` `associate-/l/`
1×	`log-div` `exp-diff` `diff-log` `rem-log-exp` `frac-sub`

Counts

4 → 135

Calls

4 calls:

25.0ms	(/ (+ x 1.0) (- x 1.0))
16.0ms	(/ x (+ x 1.0))
326.0ms	(log (exp (- (/ x (+ x 1.0)) (/ (+ x 1.0) (- x 1.0)))))
92.0ms	(- (/ x (+ x 1.0)) (/ (+ x 1.0) (- x 1.0)))

series459.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(/ (+ x 1.0) (- x 1.0))
43.0ms	(/ x (+ x 1.0))
204.0ms	(log (exp (- (/ x (+ x 1.0)) (/ (+ x 1.0) (- x 1.0)))))
141.0ms	(- (/ x (+ x 1.0)) (/ (+ x 1.0) (- x 1.0)))

simplify117.0ms

Counts: 147 → 147

prune470.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize36.0ms

Local error

Found 4 expressions with local error:

0.1b	(cbrt (- (/ x (+ x 1.0)) (/ (+ x 1.0) (- x 1.0))))
2.9b	(- (/ x (+ x 1.0)) (/ (+ x 1.0) (- x 1.0)))
2.9b	(- (/ x (+ x 1.0)) (/ (+ x 1.0) (- x 1.0)))
2.9b	(- (/ x (+ x 1.0)) (/ (+ x 1.0) (- x 1.0)))

rewrite447.0ms

Algorithm

rewrite-expression-head

Rules

189×	`*-un-lft-identity`
80×	`times-frac`
53×	`add-sqr-sqrt`
52×	`distribute-lft-out--`
32×	`distribute-lft-out`
16×	`cbrt-prod` `difference-of-squares`
10×	`add-log-exp`
5×	`add-cube-cbrt`
4×	`pow1` `add-exp-log` `flip3--` `frac-sub` `add-cbrt-cube` `flip--`
3×	`sub-neg` `cbrt-div` `diff-log`
1×	`pow1/3`

Counts

4 → 105

Calls

4 calls:

94.0ms	(cbrt (- (/ x (+ x 1.0)) (/ (+ x 1.0) (- x 1.0))))
100.0ms	(- (/ x (+ x 1.0)) (/ (+ x 1.0) (- x 1.0)))
114.0ms	(- (/ x (+ x 1.0)) (/ (+ x 1.0) (- x 1.0)))
132.0ms	(- (/ x (+ x 1.0)) (/ (+ x 1.0) (- x 1.0)))

series1.0s

Counts

4 → 12

Calls

4 calls:

452.0ms	(cbrt (- (/ x (+ x 1.0)) (/ (+ x 1.0) (- x 1.0))))
187.0ms	(- (/ x (+ x 1.0)) (/ (+ x 1.0) (- x 1.0)))
202.0ms	(- (/ x (+ x 1.0)) (/ (+ x 1.0) (- x 1.0)))
190.0ms	(- (/ x (+ x 1.0)) (/ (+ x 1.0) (- x 1.0)))

simplify113.0ms

Counts: 117 → 117

prune338.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize25.0ms

Local error

Found 4 expressions with local error:

2.9b	(- (/ x (+ x 1.0)) (/ (+ x 1.0) (- x 1.0)))
2.9b	(- (/ x (+ x 1.0)) (/ (+ x 1.0) (- x 1.0)))
2.9b	(- (/ x (+ x 1.0)) (/ (+ x 1.0) (- x 1.0)))
2.9b	(- (/ x (+ x 1.0)) (/ (+ x 1.0) (- x 1.0)))

rewrite436.0ms

Algorithm

rewrite-expression-head

Rules

188×	`*-un-lft-identity`
80×	`times-frac`
52×	`add-sqr-sqrt` `distribute-lft-out--`
32×	`distribute-lft-out`
16×	`difference-of-squares`
12×	`add-log-exp`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `flip3--` `diff-log` `frac-sub` `add-cbrt-cube` `flip--`

Counts

4 → 104

Calls

4 calls:

100.0ms	(- (/ x (+ x 1.0)) (/ (+ x 1.0) (- x 1.0)))
124.0ms	(- (/ x (+ x 1.0)) (/ (+ x 1.0) (- x 1.0)))
90.0ms	(- (/ x (+ x 1.0)) (/ (+ x 1.0) (- x 1.0)))
115.0ms	(- (/ x (+ x 1.0)) (/ (+ x 1.0) (- x 1.0)))

series639.0ms

Counts

4 → 12

Calls

4 calls:

149.0ms	(- (/ x (+ x 1.0)) (/ (+ x 1.0) (- x 1.0)))
137.0ms	(- (/ x (+ x 1.0)) (/ (+ x 1.0) (- x 1.0)))
162.0ms	(- (/ x (+ x 1.0)) (/ (+ x 1.0) (- x 1.0)))
191.0ms	(- (/ x (+ x 1.0)) (/ (+ x 1.0) (- x 1.0)))

simplify82.0ms

Counts: 116 → 116

prune382.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.2b

regimes69.0ms

Accuracy

100% (0.0b remaining)

Error of 0.2b against oracle of 0.2b and baseline of 29.0b

bsearch106.0ms

Steps

Iters	Range		Point
8	1902.9075791774285	6884452.324493753	11573.998562574065
9	-3592450.023809973	-45.38980787391071	-12435.329388671693

simplify42.0ms

end0.0ms

sample1.6s

Algorithm

intervals

Results

526.0ms	4157×	body	80	valid
438.0ms	1673×	body	1280	valid
301.0ms	1264×	body	640	valid
69.0ms	602×	body	320	valid
27.0ms	304×	body	160	valid