Details

sample61.0ms

Algorithm

intervals

Results

24.0ms

408×

body

valid

simplify4.8s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	28	9
3	80	9
4	266	9
5	893	9
6	4915	9
done	5000	9

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 1 expressions with local error:

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

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 34

Calls

1 calls:

69.0ms

(* (- y z) (- t x))

series76.0ms

Counts

1 → 3

Calls

1 calls:

76.0ms

(* (- y z) (- t x))

simplify825.0ms

Counts

37 → 37

Iterations

Useful iterations: 2 (204.0ms)

Iter	Nodes	Cost
0	86	447
1	227	434
2	1047	402
done	5000	402

prune232.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 3 expressions with local error:

1.1b	(- (* t t) (* x x))
6.1b	(* (- (* t t) (* x x)) (- y z))
20.6b	(/ (* (- (* t t) (* x x)) (- y z)) (+ t x))

rewrite164.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 79

Calls

3 calls:

16.0ms	(- (* t t) (* x x))
83.0ms	(* (- (* t t) (* x x)) (- y z))
59.0ms	(/ (* (- (* t t) (* x x)) (- y z)) (+ t x))

series275.0ms

Counts

3 → 9

Calls

3 calls:

63.0ms	(- (* t t) (* x x))
85.0ms	(* (- (* t t) (* x x)) (- y z))
126.0ms	(/ (* (- (* t t) (* x x)) (- y z)) (+ t x))

simplify2.5s

Counts

88 → 88

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	147	1539
1	469	1488
2	3174	1260
done	5000	1256

prune600.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize51.0ms

Local error

Found 4 expressions with local error:

1.2b	(- (pow t 3) (pow x 3))
1.4b	(+ (* x x) (* t x))
4.4b	(* (- (pow t 3) (pow x 3)) (- y z))
35.3b	(/ (* (- (pow t 3) (pow x 3)) (- y z)) (+ (* t t) (+ (* x x) (* t x))))

rewrite403.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 131

Calls

4 calls:

47.0ms	(- (pow t 3) (pow x 3))
18.0ms	(+ (* x x) (* t x))
176.0ms	(* (- (pow t 3) (pow x 3)) (- y z))
151.0ms	(/ (* (- (pow t 3) (pow x 3)) (- y z)) (+ (* t t) (+ (* x x) (* t x))))

series450.0ms

Counts

4 → 12

Calls

4 calls:

98.0ms	(- (pow t 3) (pow x 3))
51.0ms	(+ (* x x) (* t x))
135.0ms	(* (- (pow t 3) (pow x 3)) (- y z))
165.0ms	(/ (* (- (pow t 3) (pow x 3)) (- y z)) (+ (* t t) (+ (* x x) (* t x))))

simplify3.5s

Counts

143 → 143

Iterations

Useful iterations: done (3.5s)

Iter	Nodes	Cost
0	209	2633
1	626	2345
2	3866	2137
done	5000	2129

prune1.1s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes541.0ms

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	8	9
1	10	9
done	10	9

end0.0ms

sample1.9s

Algorithm

intervals

Results

955.0ms

12281×

body

valid