Details

sample13.0ms

Algorithm

intervals

Results

6.0ms

256×

body

valid

simplify4.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	8	7
2	9	7
done	9	7

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
22×	`add-sqr-sqrt`
20×	`times-frac`
12×	`add-cube-cbrt`
6×	`distribute-lft-out`
5×	`associate-/r*` `distribute-lft-out--` `difference-of-squares`
4×	`associate-/l*`
3×	`add-exp-log` `add-cbrt-cube`
2×	`associate-/r/` `associate-/l/`
1×	`pow1` `cbrt-undiv` `expm1-log1p-u` `flip3--` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip--` `flip-+` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 47

Calls

1 calls:

39.0ms

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

series53.0ms

Counts

1 → 3

Calls

1 calls:

53.0ms

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

simplify749.0ms

Counts

50 → 50

Iterations

Useful iterations: done (747.0ms)

Iter	Nodes	Cost
0	93	646
1	221	616
2	874	584
done	5000	575

prune107.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 3 expressions with local error:

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

rewrite147.0ms

Algorithm

rewrite-expression-head

Rules

93×	`*-un-lft-identity`
61×	`add-sqr-sqrt`
60×	`times-frac`
52×	`exp-prod`
35×	`add-cube-cbrt`
27×	`log-pow`
16×	`distribute-lft-out`
13×	`distribute-lft-out--` `difference-of-squares`
6×	`associate-/r/`
5×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
4×	`pow1` `associate-/l*` `add-log-exp`
3×	`expm1-log1p-u` `log-prod` `flip3--` `flip--` `log1p-expm1-u` `div-inv`
2×	`associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `rem-log-exp` `clear-num` `flip-+` `rem-exp-log`

Counts

3 → 123

Calls

3 calls:

37.0ms	(/ (+ x 1.0) (- 1.0 x))
66.0ms	(log (exp (/ (+ x 1.0) (- 1.0 x))))
36.0ms	(exp (/ (+ x 1.0) (- 1.0 x)))

series195.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(/ (+ x 1.0) (- 1.0 x))
48.0ms	(log (exp (/ (+ x 1.0) (- 1.0 x))))
110.0ms	(exp (/ (+ x 1.0) (- 1.0 x)))

simplify763.0ms

Counts

132 → 132

Iterations

Useful iterations: done (758.0ms)

Iter	Nodes	Cost
0	168	1571
1	340	1411
2	1149	1340
done	5001	1313

prune323.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (exp (/ (- (* x x) (* 1.0 1.0)) (* (- 1.0 x) (- x 1.0)))))
0.0b	(* (- 1.0 x) (- x 1.0))
0.0b	(exp (/ (- (* x x) (* 1.0 1.0)) (* (- 1.0 x) (- x 1.0))))
14.0b	(/ (- (* x x) (* 1.0 1.0)) (* (- 1.0 x) (- x 1.0)))

rewrite220.0ms

Algorithm

rewrite-expression-head

Rules

32×	`exp-prod`
31×	`add-sqr-sqrt`
29×	`*-un-lft-identity`
25×	`add-cube-cbrt` `flip3--` `flip--`
24×	`associate-/r/`
18×	`prod-diff`
17×	`log-pow`
16×	`frac-times`
12×	`times-frac`
11×	`add-exp-log` `distribute-rgt-in` `distribute-lft-in` `add-cbrt-cube`
8×	`associate-r/` `associate-l/`
7×	`pow1`
6×	`difference-of-squares`
5×	`associate-r` `associate-l` `add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u` `associate-/l*`
3×	`log-prod` `div-sub` `div-inv`
2×	`cbrt-undiv` `sub-neg` `exp-diff` `div-exp` `prod-exp` `cbrt-unprod` `associate-/l/` `distribute-lft-out--`
1×	`log-div` `frac-2neg` `rem-log-exp` `pow-prod-down` `clear-num` `associate-/r` `-commutative` `rem-exp-log` `unswap-sqr`

Counts

4 → 148

Calls

4 calls:

47.0ms	(log (exp (/ (- (* x x) (* 1.0 1.0)) (* (- 1.0 x) (- x 1.0)))))
77.0ms	(* (- 1.0 x) (- x 1.0))
51.0ms	(exp (/ (- (* x x) (* 1.0 1.0)) (* (- 1.0 x) (- x 1.0))))
38.0ms	(/ (- (* x x) (* 1.0 1.0)) (* (- 1.0 x) (- x 1.0)))

series388.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(log (exp (/ (- (* x x) (* 1.0 1.0)) (* (- 1.0 x) (- x 1.0)))))
36.0ms	(* (- 1.0 x) (- x 1.0))
177.0ms	(exp (/ (- (* x x) (* 1.0 1.0)) (* (- 1.0 x) (- x 1.0))))
93.0ms	(/ (- (* x x) (* 1.0 1.0)) (* (- 1.0 x) (- x 1.0)))

simplify2.5s

Counts

160 → 160

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	267	3108
1	684	2830
2	4221	2524
done	5000	2519

prune544.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes22.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	6	7
done	6	7

end0.0ms

sample862.0ms

Algorithm

intervals

Results

657.0ms

8000×

body

valid