Details

sample17.0ms

Algorithm

intervals

Results

7.0ms

331×

body

valid

simplify363.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	9
1	13	9
2	20	9
3	30	9
4	39	9
5	46	9
6	57	9
7	78	9
8	115	9
9	172	9
10	256	9
11	299	9
12	303	9
done	303	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 33

Calls

2 calls:

9.0ms	(* (- 1.0 x) y)
5.0ms	(+ (* (- 1.0 x) y) (* x z))

series64.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(* (- 1.0 x) y)
36.0ms	(+ (* (- 1.0 x) y) (* x z))

simplify1.4s

Counts

39 → 39

Iterations

Useful iterations: 3 (284.0ms)

Iter	Nodes	Cost
0	71	405
1	194	375
2	708	347
3	2945	345
done	5000	345

prune75.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ (* (- (* 1.0 1.0) (* x x)) y) (+ 1.0 x)) (* x z))
4.5b	(* (- (* 1.0 1.0) (* x x)) y)
6.8b	(/ (* (- (* 1.0 1.0) (* x x)) y) (+ 1.0 x))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 59

Calls

3 calls:

20.0ms	(+ (/ (* (- (* 1.0 1.0) (* x x)) y) (+ 1.0 x)) (* x z))
9.0ms	(* (- (* 1.0 1.0) (* x x)) y)
9.0ms	(/ (* (- (* 1.0 1.0) (* x x)) y) (+ 1.0 x))

series156.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(+ (/ (* (- (* 1.0 1.0) (* x x)) y) (+ 1.0 x)) (* x z))
39.0ms	(* (- (* 1.0 1.0) (* x x)) y)
58.0ms	(/ (* (- (* 1.0 1.0) (* x x)) y) (+ 1.0 x))

simplify545.0ms

Counts

68 → 68

Iterations

Useful iterations: 2 (112.0ms)

Iter	Nodes	Cost
0	122	1163
1	370	1090
2	1650	958
done	5000	958

prune154.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (/ (* (- (* 1.0 1.0) (* x x)) y) (+ (pow 1.0 3) (pow x 3))) (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))) (* x z))
4.5b	(* (- (* 1.0 1.0) (* x x)) y)
9.2b	(/ (* (- (* 1.0 1.0) (* x x)) y) (+ (pow 1.0 3) (pow x 3)))
10.6b	(* (/ (* (- (* 1.0 1.0) (* x x)) y) (+ (pow 1.0 3) (pow x 3))) (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))

rewrite159.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 112

Calls

4 calls:

31.0ms	(+ (* (/ (* (- (* 1.0 1.0) (* x x)) y) (+ (pow 1.0 3) (pow x 3))) (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))) (* x z))
9.0ms	(* (- (* 1.0 1.0) (* x x)) y)
28.0ms	(/ (* (- (* 1.0 1.0) (* x x)) y) (+ (pow 1.0 3) (pow x 3)))
86.0ms	(* (/ (* (- (* 1.0 1.0) (* x x)) y) (+ (pow 1.0 3) (pow x 3))) (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))

series329.0ms

Counts

4 → 12

Calls

4 calls:

123.0ms	(+ (* (/ (* (- (* 1.0 1.0) (* x x)) y) (+ (pow 1.0 3) (pow x 3))) (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))) (* x z))
37.0ms	(* (- (* 1.0 1.0) (* x x)) y)
62.0ms	(/ (* (- (* 1.0 1.0) (* x x)) y) (+ (pow 1.0 3) (pow x 3)))
108.0ms	(* (/ (* (- (* 1.0 1.0) (* x x)) y) (+ (pow 1.0 3) (pow x 3))) (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))

simplify1.2s

Counts

124 → 124

Iterations

Useful iterations: 2 (233.0ms)

Iter	Nodes	Cost
0	209	3395
1	728	3056
2	3604	2676
done	5001	2676

prune348.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(pow (* x z) 3)
0.8b	(+ (* (* (- 1.0 x) y) (- (* (- 1.0 x) y) (* x z))) (* (* x z) (* x z)))
1.0b	(+ (pow (* (- 1.0 x) y) 3) (pow (* x z) 3))
39.2b	(/ (+ (pow (* (- 1.0 x) y) 3) (pow (* x z) 3)) (+ (* (* (- 1.0 x) y) (- (* (- 1.0 x) y) (* x z))) (* (* x z) (* x z))))

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

25×	`*-un-lft-identity`
15×	`add-sqr-sqrt` `add-cube-cbrt` `times-frac`
9×	`add-exp-log` `add-cbrt-cube`
8×	`add-log-exp`
7×	`pow1`
5×	`sum-cubes` `distribute-lft-out` `associate-/l*`
4×	`associate-+l+` `flip3-+` `flip-+`
3×	`pow-unpow` `associate-/r*`
2×	`+-commutative` `distribute-rgt-in` `sub-neg` `pow-pow` `distribute-lft-in` `pow-exp` `sum-log` `associate-/r/` `associate-/l/` `rem-cube-cbrt`
1×	`cbrt-undiv` `cube-mult` `pow-to-exp` `unpow-prod-down` `frac-2neg` `unpow3` `cube-prod` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `cbrt-unprod` `div-inv` `sqr-pow`

Counts

4 → 89

Calls

4 calls:

2.0ms	(pow (* x z) 3)
26.0ms	(+ (* (* (- 1.0 x) y) (- (* (- 1.0 x) y) (* x z))) (* (* x z) (* x z)))
8.0ms	(+ (pow (* (- 1.0 x) y) 3) (pow (* x z) 3))
63.0ms	(/ (+ (pow (* (- 1.0 x) y) 3) (pow (* x z) 3)) (+ (* (* (- 1.0 x) y) (- (* (- 1.0 x) y) (* x z))) (* (* x z) (* x z))))

series671.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(pow (* x z) 3)
101.0ms	(+ (* (* (- 1.0 x) y) (- (* (- 1.0 x) y) (* x z))) (* (* x z) (* x z)))
213.0ms	(+ (pow (* (- 1.0 x) y) 3) (pow (* x z) 3))
303.0ms	(/ (+ (pow (* (- 1.0 x) y) 3) (pow (* x z) 3)) (+ (* (* (- 1.0 x) y) (- (* (- 1.0 x) y) (* x z))) (* (* x z) (* x z))))

simplify903.0ms

Counts

101 → 101

Iterations

Useful iterations: 2 (178.0ms)

Iter	Nodes	Cost
0	172	3453
1	477	3282
2	2264	2868
done	5000	2868

prune308.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.0b

regimes98.0ms

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	8	9
1	11	9
done	11	9

end0.0ms

sample434.0ms

Algorithm

intervals

Results

229.0ms

10161×

body

valid