Details

sample112.0ms

Algorithm

intervals

Results

17.0ms

324×

body

valid

simplify6.4s

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	6	123
1	10	123
2	17	123
3	31	123
4	47	123
5	59	123
6	69	123
7	91	123
8	150	123
9	266	123
10	566	123
11	1546	123
12	2995	123
done	5000	123

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`*-un-lft-identity`
5×	`associate-r`
4×	`distribute-rgt-in` `pow1` `associate-+r+` `sub-neg` `distribute-lft-in` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `add-log-exp`
3×	`associate-l`
2×	`associate-*r/`
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 → 41

Calls

2 calls:

16.0ms	(* y (- z x))
14.0ms	(+ x (* y (- z x)))

series128.0ms

Counts

2 → 6

Calls

2 calls:

64.0ms	(* y (- z x))
64.0ms	(+ x (* y (- z x)))

simplify2.1s

Counts

47 → 47

Iterations

Useful iterations: 2 (141.0ms)

Iter	Nodes	Cost
0	72	8028
1	182	7004
2	501	6924
3	1968	6924
done	5043	6924

prune195.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 2 expressions with local error:

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

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`sum-log`
2×	`distribute-lft-neg-out` `add-sqr-sqrt` `pow1` `+-commutative` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `flip-+`
1×	`associate-+l+` `unsub-neg`

Counts

2 → 26

Calls

2 calls:

4.0ms	(+ x (* z y))
20.0ms	(+ (+ x (* z y)) (* (- x) y))

series83.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(+ x (* z y))
40.0ms	(+ (+ x (* z y)) (* (- x) y))

simplify3.1s

Counts

32 → 32

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	51	7266
1	168	5984
2	656	5384
3	2948	5304
done	5004	5304

prune141.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ x (* z y)) (+ x (* z y)))
0.3b	(* (* (- x) y) (* (- x) y))
7.8b	(- (* (+ x (* z y)) (+ x (* z y))) (* (* (- x) y) (* (- x) y)))
29.7b	(/ (- (* (+ x (* z y)) (+ x (* z y))) (* (* (- x) y) (* (- x) y))) (- (+ x (* z y)) (* (- x) y)))

rewrite186.0ms

Algorithm

rewrite-expression-head

Rules

50×	`pow1`
20×	`add-cbrt-cube` `add-exp-log`
19×	`add-sqr-sqrt`
18×	`pow-prod-down`
17×	`*-un-lft-identity` `add-cube-cbrt`
12×	`times-frac`
9×	`prod-exp` `cbrt-unprod`
6×	`flip3-+` `flip-+` `add-log-exp`
5×	`distribute-lft-neg-out` `pow-sqr` `pow-prod-up` `difference-of-squares`
4×	`frac-times` `swap-sqr` `associate-r` `associate-l` `associate-/l*`
3×	`associate-/r*` `pow-plus` `flip3--` `flip--`
2×	`pow2` `distribute-rgt-in` `distribute-lft-in` `associate-l/` `associate--l+` `associate-r/` `associate-/r/` `*-commutative` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `sqr-neg` `distribute-rgt-neg-out` `div-inv` `unswap-sqr`

Counts

4 → 123

Calls

4 calls:

31.0ms	(* (+ x (* z y)) (+ x (* z y)))
46.0ms	(* (* (- x) y) (* (- x) y))
23.0ms	(- (* (+ x (* z y)) (+ x (* z y))) (* (* (- x) y) (* (- x) y)))
83.0ms	(/ (- (* (+ x (* z y)) (+ x (* z y))) (* (* (- x) y) (* (- x) y))) (- (+ x (* z y)) (* (- x) y)))

series466.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(* (+ x (* z y)) (+ x (* z y)))
36.0ms	(* (* (- x) y) (* (- x) y))
116.0ms	(- (* (+ x (* z y)) (+ x (* z y))) (* (* (- x) y) (* (- x) y)))
232.0ms	(/ (- (* (+ x (* z y)) (+ x (* z y))) (* (* (- x) y) (* (- x) y))) (- (+ x (* z y)) (* (- x) y)))

simplify2.5s

Counts

135 → 135

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	179	46717
1	580	38139
2	2277	34859
done	5010	34819

prune624.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* (sqrt y) (* (sqrt y) (- z x))))
0.1b	(* (sqrt y) (- z x))
0.1b	(* (sqrt y) (* (sqrt y) (- z x)))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 80

Calls

3 calls:

10.0ms	(+ x (* (sqrt y) (* (sqrt y) (- z x))))
18.0ms	(* (sqrt y) (- z x))
42.0ms	(* (sqrt y) (* (sqrt y) (- z x)))

series270.0ms

Counts

3 → 9

Calls

3 calls:

72.0ms	(+ x (* (sqrt y) (* (sqrt y) (- z x))))
113.0ms	(* (sqrt y) (- z x))
85.0ms	(* (sqrt y) (* (sqrt y) (- z x)))

simplify1.8s

Counts

89 → 89

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	133	21537
1	370	19421
2	1095	15021
done	5001	14901

prune329.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes334.0ms

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 (1.0ms)

Iter	Nodes	Cost
0	6	123
1	8	123
done	8	123

end0.0ms

sample819.0ms

Algorithm

intervals

Results

467.0ms

10131×

body

valid