Details

sample23.0ms

Algorithm

intervals

Results

12.0ms

256×

body

valid

simplify5.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	12
2	12
1	11
0	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

60×	`*-un-lft-identity`
35×	`times-frac`
30×	`add-sqr-sqrt`
22×	`add-cube-cbrt`
11×	`distribute-lft-out`
9×	`associate-/r*`
7×	`add-cbrt-cube` `add-exp-log`
6×	`associate-/l*` `distribute-lft-out--`
5×	`add-log-exp`
4×	`associate-/r/` `difference-of-squares`
3×	`pow1`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `div-exp` `flip-+` `div-inv`
1×	`+-commutative` `sum-log` `flip3--` `frac-add` `flip--`

Counts

3 → 87

Calls

3 calls:

8.0ms	(/ x (+ x 1.0))
57.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
9.0ms	(/ 1.0 (- x 1.0))

series229.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(/ x (+ x 1.0))
154.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
32.0ms	(/ 1.0 (- x 1.0))

simplify955.0ms

Counts

96 → 96

Iterations

Iter	Nodes
done	5001
2	1643
1	411
0	169

prune383.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ x (+ x 1.0))
0.0b	(+ (* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0)) (/ x (+ x 1.0)))
0.3b	(/ 1.0 (- (* x x) (* 1.0 1.0)))
13.7b	(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0))

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 128

Calls

4 calls:

9.0ms	(/ x (+ x 1.0))
29.0ms	(+ (* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0)) (/ x (+ x 1.0)))
10.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))
41.0ms	(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0))

series443.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(/ x (+ x 1.0))
257.0ms	(+ (* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0)) (/ x (+ x 1.0)))
84.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))
60.0ms	(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0))

simplify960.0ms

Counts

140 → 140

Iterations

Iter	Nodes
done	5000
1	883
0	251

prune713.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- x 1.0) (+ x 1.0))
0.0b	(+ (* 1.0 (+ x 1.0)) (* (- x 1.0) x))
0.0b	(* (- x 1.0) x)
14.6b	(/ (+ (* 1.0 (+ x 1.0)) (* (- x 1.0) x)) (* (- x 1.0) (+ x 1.0)))

rewrite134.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 105

Calls

4 calls:

39.0ms	(* (- x 1.0) (+ x 1.0))
22.0ms	(+ (* 1.0 (+ x 1.0)) (* (- x 1.0) x))
17.0ms	(* (- x 1.0) x)
53.0ms	(/ (+ (* 1.0 (+ x 1.0)) (* (- x 1.0) x)) (* (- x 1.0) (+ x 1.0)))

series405.0ms

Counts

4 → 12

Calls

4 calls:

136.0ms	(* (- x 1.0) (+ x 1.0))
50.0ms	(+ (* 1.0 (+ x 1.0)) (* (- x 1.0) x))
75.0ms	(* (- x 1.0) x)
144.0ms	(/ (+ (* 1.0 (+ x 1.0)) (* (- x 1.0) x)) (* (- x 1.0) (+ x 1.0)))

simplify2.2s

Counts

117 → 117

Iterations

Iter	Nodes
done	5001
2	3898
1	588
0	182

prune535.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes38.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	13
1	13
0	10

end0.0ms

sample592.0ms

Algorithm

intervals

Results

439.0ms

8000×

body

valid