Details

sample21.0ms

Algorithm

intervals

Results

9.0ms

335×

body

valid

simplify181.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	3
1	17	3
2	31	3
3	46	3
4	53	3
5	62	3
6	80	3
7	118	3
8	235	3
9	467	3
10	832	3
11	1212	3
12	1786	3
13	3407	3
14	5002	3
done	5002	3

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

2 calls:

7.0ms	(+ x (* y (- z x)))
22.0ms	(* y (- z x))

series81.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(+ x (* y (- z x)))
49.0ms	(* y (- z x))

simplify89.0ms

Counts

47 → 47

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	172	180
1	731	165
2	3520	165
3	5001	165
done	5001	165

prune75.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 26

Calls

2 calls:

22.0ms	(+ (+ x (* z y)) (* (- x) y))
8.0ms	(+ x (* z y))

series62.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(+ (+ x (* z y)) (* (- x) y))
28.0ms	(+ x (* z y))

simplify86.0ms

Counts

32 → 32

Iterations

Useful iterations: 3 (84.0ms)

Iter	Nodes	Cost
0	167	172
1	672	154
2	3123	150
3	5001	144
done	5001	144

prune61.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (* y (- (* z z) (* x x))) (+ z x)))
2.9b	(- (* z z) (* x x))
9.3b	(* y (- (* z z) (* x x)))
17.5b	(/ (* y (- (* z z) (* x x))) (+ z x))

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

14×	`*-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-r/` `associate-r` `associate-/r`
3×	`sub-neg` `flip3--` `associate-l` `flip--` `distribute-lft-out`
2×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `flip3-+` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `flip-+` `associate-/l/` `difference-of-squares`
1×	`+-commutative` `frac-2neg` `diff-log` `pow-prod-down` `clear-num` `sum-log` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

4 → 77

Calls

4 calls:

19.0ms	(+ x (/ (* y (- (* z z) (* x x))) (+ z x)))
8.0ms	(- (* z z) (* x x))
29.0ms	(* y (- (* z z) (* x x)))
27.0ms	(/ (* y (- (* z z) (* x x))) (+ z x))

series236.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(+ x (/ (* y (- (* z z) (* x x))) (+ z x)))
32.0ms	(- (* z z) (* x x))
68.0ms	(* y (- (* z z) (* x x)))
79.0ms	(/ (* y (- (* z z) (* x x))) (+ z x))

simplify50.0ms

Counts

89 → 89

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	367	620
1	1808	538
2	5001	507
done	5001	507

prune151.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* (sqrt (* y (- z x))) (sqrt (* y (- z x)))))
0.2b	(* (sqrt (* y (- z x))) (sqrt (* y (- z x))))
2.0b	(sqrt (* y (- z x)))
2.0b	(sqrt (* y (- z x)))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

59×	`pow1`
32×	`sqrt-pow1`
22×	`pow-prod-down`
18×	`associate-*r/`
16×	`sqrt-div`
12×	`pow1/2`
10×	`add-sqr-sqrt` `pow-prod-up`
8×	`add-cube-cbrt` `flip3--` `*-un-lft-identity` `flip--`
6×	`add-exp-log` `sqrt-prod` `pow-sqr` `add-cbrt-cube` `add-log-exp`
4×	`frac-times` `swap-sqr` `associate-r` `associate-l`
2×	`associate-*l/`
1×	`+-commutative` `pow2` `flip3-+` `pow-plus` `sqrt-unprod` `prod-exp` `sum-log` `rem-square-sqrt` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 94

Calls

4 calls:

5.0ms	(+ x (* (sqrt (* y (- z x))) (sqrt (* y (- z x)))))
57.0ms	(* (sqrt (* y (- z x))) (sqrt (* y (- z x))))
7.0ms	(sqrt (* y (- z x)))
7.0ms	(sqrt (* y (- z x)))

series265.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(+ x (* (sqrt (* y (- z x))) (sqrt (* y (- z x)))))
104.0ms	(* (sqrt (* y (- z x))) (sqrt (* y (- z x))))
55.0ms	(sqrt (* y (- z x)))
59.0ms	(sqrt (* y (- z x)))

simplify42.0ms

Counts

106 → 106

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	255	591
1	1116	502
2	5001	475
done	5001	475

prune172.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes72.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	5
1	18	5
2	19	5
3	19	5
done	19	5

end0.0ms

sample482.0ms

Algorithm

intervals

Results

195.0ms

10122×

body

valid