Details

sample42.0ms

Algorithm

intervals

Results

17.0ms

332×

body

valid

simplify410.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	13	9
2	20	9
3	34	9
4	49	9
5	56	9
6	62	9
7	79	9
8	106	9
9	130	9
10	164	9
11	192	9
12	205	9
13	214	9
done	214	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite47.0ms

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	(+ (* x y) (* (- x 1.0) z))
37.0ms	(* (- x 1.0) z)

series70.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(+ (* x y) (* (- x 1.0) z))
36.0ms	(* (- x 1.0) z)

simplify2.5s

Counts

39 → 39

Iterations

Useful iterations: 2 (121.0ms)

Iter	Nodes	Cost
0	71	405
1	187	373
2	675	345
3	2963	345
done	5000	345

prune100.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) (/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0)))
0.0b	(- (* x x) (* 1.0 1.0))
2.9b	(* (- (* x x) (* 1.0 1.0)) z)
7.1b	(/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0))

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

22.0ms	(+ (* x y) (/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0)))
10.0ms	(- (* x x) (* 1.0 1.0))
30.0ms	(* (- (* x x) (* 1.0 1.0)) z)
49.0ms	(/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0))

series313.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(+ (* x y) (/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0)))
76.0ms	(- (* x x) (* 1.0 1.0))
51.0ms	(* (- (* x x) (* 1.0 1.0)) z)
104.0ms	(/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0))

simplify1.4s

Counts

84 → 84

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	130	1337
1	377	1245
2	1517	1087
done	5001	903

prune268.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 2 expressions with local error:

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

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-r` `add-cbrt-cube` `add-log-exp`
3×	`associate-l`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-*r/` `associate--l+`
1×	`sub-neg` `flip3--` `flip3-+` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

2 → 37

Calls

2 calls:

28.0ms	(* x (+ z y))
29.0ms	(- (* x (+ z y)) (* 1.0 z))

series94.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(* x (+ z y))
60.0ms	(- (* x (+ z y)) (* 1.0 z))

simplify2.0s

Counts

43 → 43

Iterations

Useful iterations: 3 (717.0ms)

Iter	Nodes	Cost
0	71	430
1	196	398
2	632	370
3	2770	368
done	5000	368

prune84.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) (/ 1 (/ (/ 1 (- x 1.0)) z)))
0.0b	(/ 1 (- x 1.0))
0.1b	(/ (/ 1 (- x 1.0)) z)
0.2b	(/ 1 (/ (/ 1 (- x 1.0)) z))

rewrite258.0ms

Algorithm

rewrite-expression-head

Rules

771×	`times-frac`
440×	`add-sqr-sqrt` `*-un-lft-identity`
336×	`add-cube-cbrt`
75×	`associate-/r*`
52×	`add-exp-log` `distribute-lft-out--` `difference-of-squares`
36×	`div-exp`
35×	`associate-/r/`
27×	`associate-/l*`
23×	`div-inv`
20×	`add-cbrt-cube`
17×	`flip3--` `flip--`
10×	`cbrt-undiv` `rec-exp` `1-exp`
6×	`pow1` `add-log-exp`
3×	`frac-2neg` `clear-num`
2×	`pow-flip` `inv-pow`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+` `associate-/l/`

Counts

4 → 458

Calls

4 calls:

119.0ms	(+ (* x y) (/ 1 (/ (/ 1 (- x 1.0)) z)))
12.0ms	(/ 1 (- x 1.0))
49.0ms	(/ (/ 1 (- x 1.0)) z)
36.0ms	(/ 1 (/ (/ 1 (- x 1.0)) z))

series174.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(+ (* x y) (/ 1 (/ (/ 1 (- x 1.0)) z)))
28.0ms	(/ 1 (- x 1.0))
48.0ms	(/ (/ 1 (- x 1.0)) z)
51.0ms	(/ 1 (/ (/ 1 (- x 1.0)) z))

simplify2.0s

Counts

470 → 470

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	602	8960
1	1418	6578
2	2528	5465
done	5000	5440

prune765.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes120.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	11	9
done	11	9

end0.0ms

sample1.4s

Algorithm

intervals

Results

928.0ms

10090×

body

valid