Details

sample44.0ms

Algorithm

intervals

Results

18.0ms

324×

body

valid

simplify1.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
10	1734
9	377
8	136
7	96
6	75
5	64
4	53
3	34
2	20
1	13
0	8

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (- 1.0 x) z) (* x y))
0.0b	(* (- 1.0 x) z)

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`*-un-lft-identity`
5×	`associate-l`
4×	`pow1` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `add-log-exp`
3×	`associate-r`
2×	`associate-*l/`
1×	`+-commutative` `sum-log` `flip3-+` `flip3--` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `flip--` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 33

Calls

2 calls:

14.0ms	(+ (* (- 1.0 x) z) (* x y))
18.0ms	(* (- 1.0 x) z)

series99.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(+ (* (- 1.0 x) z) (* x y))
48.0ms	(* (- 1.0 x) z)

simplify612.0ms

Counts

39 → 39

Iterations

Iter	Nodes
done	5000
2	767
1	190
0	71

prune225.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ (* z (* (+ x 1.0) (- 1.0 x))) (+ 1.0 x)) (* x y))
0.0b	(* (+ x 1.0) (- 1.0 x))
2.6b	(* z (* (+ x 1.0) (- 1.0 x)))
6.7b	(/ (* z (* (+ x 1.0) (- 1.0 x))) (+ 1.0 x))

rewrite310.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 113

Calls

4 calls:

108.0ms	(+ (/ (* z (* (+ x 1.0) (- 1.0 x))) (+ 1.0 x)) (* x y))
32.0ms	(* (+ x 1.0) (- 1.0 x))
69.0ms	(* z (* (+ x 1.0) (- 1.0 x)))
93.0ms	(/ (* z (* (+ x 1.0) (- 1.0 x))) (+ 1.0 x))

series301.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(+ (/ (* z (* (+ x 1.0) (- 1.0 x))) (+ 1.0 x)) (* x y))
82.0ms	(* (+ x 1.0) (- 1.0 x))
106.0ms	(* z (* (+ x 1.0) (- 1.0 x)))
39.0ms	(/ (* z (* (+ x 1.0) (- 1.0 x))) (+ 1.0 x))

simplify2.1s

Counts

125 → 125

Iterations

Iter	Nodes
done	5000
2	4897
1	588
0	182

prune625.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ (+ (* (+ x 1.0) (* 1.0 z)) (* (* z (- x)) (+ x 1.0))) (+ 1.0 x)) (* x y))
0.0b	(+ (* (+ x 1.0) (* 1.0 z)) (* (* z (- x)) (+ x 1.0)))
0.1b	(* (* z (- x)) (+ x 1.0))
6.7b	(/ (+ (* (+ x 1.0) (* 1.0 z)) (* (* z (- x)) (+ x 1.0))) (+ 1.0 x))

rewrite253.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 97

Calls

4 calls:

133.0ms	(+ (/ (+ (* (+ x 1.0) (* 1.0 z)) (* (* z (- x)) (+ x 1.0))) (+ 1.0 x)) (* x y))
23.0ms	(+ (* (+ x 1.0) (* 1.0 z)) (* (* z (- x)) (+ x 1.0)))
25.0ms	(* (* z (- x)) (+ x 1.0))
65.0ms	(/ (+ (* (+ x 1.0) (* 1.0 z)) (* (* z (- x)) (+ x 1.0))) (+ 1.0 x))

series298.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(+ (/ (+ (* (+ x 1.0) (* 1.0 z)) (* (* z (- x)) (+ x 1.0))) (+ 1.0 x)) (* x y))
70.0ms	(+ (* (+ x 1.0) (* 1.0 z)) (* (* z (- x)) (+ x 1.0)))
72.0ms	(* (* z (- x)) (+ x 1.0))
66.0ms	(/ (+ (* (+ x 1.0) (* 1.0 z)) (* (* z (- x)) (+ x 1.0))) (+ 1.0 x))

simplify2.3s

Counts

109 → 109

Iterations

Iter	Nodes
done	5000
2	4107
1	601
0	188

prune610.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (+ x 1.0))
0.2b	(cbrt (+ x 1.0))
2.6b	(/ (* (+ x 1.0) (* z (- 1.0 x))) (cbrt (+ x 1.0)))
4.1b	(* (/ (/ 1 (cbrt (+ x 1.0))) (cbrt (+ x 1.0))) (/ (* (+ x 1.0) (* z (- 1.0 x))) (cbrt (+ x 1.0))))

rewrite385.0ms

Algorithm

rewrite-expression-head

Rules

368×	`times-frac`
276×	`*-un-lft-identity`
221×	`cbrt-prod`
203×	`add-sqr-sqrt`
195×	`associate-l`
166×	`add-cube-cbrt`
103×	`add-exp-log`
53×	`distribute-lft-out`
43×	`add-cbrt-cube`
42×	`div-exp`
38×	`prod-exp`
24×	`cbrt-undiv` `cbrt-div` `cbrt-unprod`
20×	`associate-/r/`
15×	`flip3-+` `flip-+`
13×	`associate-r`
12×	`unswap-sqr`
11×	`div-inv`
9×	`associate-*r/`
8×	`associate-/l/`
7×	`associate-/r*`
6×	`pow1`
5×	`frac-times`
4×	`rec-exp` `1-exp` `add-log-exp`
3×	`flip3--` `associate-*l/` `flip--`
2×	`pow1/3`
1×	`clear-num` `frac-2neg` `pow-prod-down` `-commutative` `associate-/l`

Counts

4 → 333

Calls

4 calls:

6.0ms	(cbrt (+ x 1.0))
6.0ms	(cbrt (+ x 1.0))
51.0ms	(/ (* (+ x 1.0) (* z (- 1.0 x))) (cbrt (+ x 1.0)))
280.0ms	(* (/ (/ 1 (cbrt (+ x 1.0))) (cbrt (+ x 1.0))) (/ (* (+ x 1.0) (* z (- 1.0 x))) (cbrt (+ x 1.0))))

series715.0ms

Counts

4 → 12

Calls

4 calls:

149.0ms	(cbrt (+ x 1.0))
140.0ms	(cbrt (+ x 1.0))
387.0ms	(/ (* (+ x 1.0) (* z (- 1.0 x))) (cbrt (+ x 1.0)))
38.0ms	(* (/ (/ 1 (cbrt (+ x 1.0))) (cbrt (+ x 1.0))) (/ (* (+ x 1.0) (* z (- 1.0 x))) (cbrt (+ x 1.0))))

simplify678.0ms

Counts

345 → 345

Iterations

Iter	Nodes
done	5001
1	1350
0	412

prune2.4s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes187.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	11
1	11
0	8

end0.0ms

sample1.1s

Algorithm

intervals

Results

589.0ms

10101×

body

valid