Details

sample26.0ms

Algorithm

intervals

Results

9.0ms

411×

body

valid

simplify84.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	14	4
1	28	4
2	80	4
3	254	4
4	641	4
5	1066	4
6	2373	4
7	3914	4
8	5001	4
done	5001	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 49

Calls

2 calls:

8.0ms	(+ x (* (- y z) (- t x)))
34.0ms	(* (- y z) (- t x))

series94.0ms

Counts

2 → 6

Calls

2 calls:

54.0ms	(+ x (* (- y z) (- t x)))
40.0ms	(* (- y z) (- t x))

simplify37.0ms

Counts

55 → 55

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	290	310
1	1174	292
2	5001	291
done	5001	291

prune105.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 86

Calls

4 calls:

24.0ms	(* (- y z) (- x))
28.0ms	(+ x (+ (* (- y z) t) (* (- y z) (- x))))
17.0ms	(+ (* (- y z) t) (* (- y z) (- x)))
20.0ms	(* (- y z) t)

series165.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(* (- y z) (- x))
55.0ms	(+ x (+ (* (- y z) t) (* (- y z) (- x))))
48.0ms	(+ (* (- y z) t) (* (- y z) (- x)))
30.0ms	(* (- y z) t)

simplify64.0ms

Counts

98 → 98

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	464	589
1	2084	523
2	5001	518
done	5001	518

prune218.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (* (- y z) (- (* t t) (* x x))) (+ t x)))
3.0b	(- (* t t) (* x x))
7.4b	(* (- y z) (- (* t t) (* x x)))
21.7b	(/ (* (- y z) (- (* t t) (* x x))) (+ t x))

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 91

Calls

4 calls:

19.0ms	(+ x (/ (* (- y z) (- (* t t) (* x x))) (+ t x)))
8.0ms	(- (* t t) (* x x))
44.0ms	(* (- y z) (- (* t t) (* x x)))
38.0ms	(/ (* (- y z) (- (* t t) (* x x))) (+ t x))

series344.0ms

Counts

4 → 12

Calls

4 calls:

117.0ms	(+ x (/ (* (- y z) (- (* t t) (* x x))) (+ t x)))
32.0ms	(- (* t t) (* x x))
87.0ms	(* (- y z) (- (* t t) (* x x)))
108.0ms	(/ (* (- y z) (- (* t t) (* x x))) (+ t x))

simplify76.0ms

Counts

103 → 103

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	516	878
1	2664	784
2	5002	783
done	5002	783

prune242.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (- y z) (/ (+ t x) (- (* t t) (* x x)))))
0.3b	(/ (- y z) (/ (+ t x) (- (* t t) (* x x))))
3.0b	(- (* t t) (* x x))
24.1b	(/ (+ t x) (- (* t t) (* x x)))

rewrite158.0ms

Algorithm

rewrite-expression-head

Rules

222×	`times-frac`
197×	`*-un-lft-identity`
137×	`add-sqr-sqrt`
91×	`add-cube-cbrt`
53×	`difference-of-squares`
30×	`distribute-lft-out`
26×	`associate-/r*`
23×	`distribute-lft-out--`
15×	`associate-/r/`
11×	`add-exp-log` `add-cbrt-cube`
9×	`flip3--` `flip--` `associate-/l*`
8×	`div-inv` `add-log-exp`
4×	`pow1` `cbrt-undiv` `div-exp` `associate-/l/`
2×	`frac-2neg` `flip3-+` `div-sub` `clear-num` `flip-+`
1×	`+-commutative` `associate-+r-` `sub-neg` `diff-log` `sum-log`

Counts

4 → 221

Calls

4 calls:

75.0ms	(+ x (/ (- y z) (/ (+ t x) (- (* t t) (* x x)))))
36.0ms	(/ (- y z) (/ (+ t x) (- (* t t) (* x x))))
7.0ms	(- (* t t) (* x x))
28.0ms	(/ (+ t x) (- (* t t) (* x x)))

series312.0ms

Counts

4 → 12

Calls

4 calls:

116.0ms	(+ x (/ (- y z) (/ (+ t x) (- (* t t) (* x x)))))
108.0ms	(/ (- y z) (/ (+ t x) (- (* t t) (* x x))))
38.0ms	(- (* t t) (* x x))
50.0ms	(/ (+ t x) (- (* t t) (* x x)))

simplify125.0ms

Counts

233 → 233

Iterations

Useful iterations: 2 (102.0ms)

Iter	Nodes	Cost
0	900	2869
1	4227	2671
2	5001	2622
done	5001	2622

prune511.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes128.0ms

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	16	7
1	20	7
2	21	7
3	21	7
done	21	7

end0.0ms

sample706.0ms

Algorithm

intervals

Results

279.0ms

12203×

body

valid