Details

sample26.0ms

Algorithm

intervals

Results

11.0ms

394×

body

valid

simplify3.8s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	164
1	14	164
2	28	164
3	80	164
4	242	164
5	646	164
6	1697	164
done	5000	164

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite42.0ms

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-cbrt-cube` `add-exp-log` `add-cube-cbrt`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-l/` `associate-r/` `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:

40.0ms

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

series46.0ms

Counts

1 → 3

Calls

1 calls:

46.0ms

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

simplify1.4s

Counts

37 → 37

Iterations

Useful iterations: 2 (290.0ms)

Iter	Nodes	Cost
0	86	10412
1	227	8535
2	875	8375
done	5000	8375

prune202.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 3 expressions with local error:

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

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 70

Calls

3 calls:

26.0ms	(* (- y z) t)
23.0ms	(* (- y z) (- x))
27.0ms	(+ (* (- y z) t) (* (- y z) (- x)))

series144.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(* (- y z) t)
40.0ms	(* (- y z) (- x))
61.0ms	(+ (* (- y z) t) (* (- y z) (- x)))

simplify1.7s

Counts

79 → 79

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	132	18139
1	395	14760
2	1389	14438
done	5001	14398

prune539.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize37.0ms

Local error

Found 3 expressions with local error:

2.3b	(- (* y y) (* z z))
6.7b	(* (- (* y y) (* z z)) (- t x))
19.5b	(/ (* (- (* y y) (* z z)) (- t x)) (+ y z))

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 79

Calls

3 calls:

6.0ms	(- (* y y) (* z z))
46.0ms	(* (- (* y y) (* z z)) (- t x))
39.0ms	(/ (* (- (* y y) (* z z)) (- t x)) (+ y z))

series262.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(- (* y y) (* z z))
93.0ms	(* (- (* y y) (* z z)) (- t x))
111.0ms	(/ (* (- (* y y) (* z z)) (- t x)) (+ y z))

simplify2.3s

Counts

88 → 88

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	147	30671
1	454	25523
2	2106	24683
done	5006	23973

prune565.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- y z) t)
0.0b	(+ (* (- y z) t) (* (* (- y z) (- (sqrt x))) (sqrt x)))
0.1b	(* (- y z) (- (sqrt x)))
0.2b	(* (* (- y z) (- (sqrt x))) (sqrt x))

rewrite140.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 99

Calls

4 calls:

26.0ms	(* (- y z) t)
18.0ms	(+ (* (- y z) t) (* (* (- y z) (- (sqrt x))) (sqrt x)))
41.0ms	(* (- y z) (- (sqrt x)))
51.0ms	(* (* (- y z) (- (sqrt x))) (sqrt x))

series281.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(* (- y z) t)
85.0ms	(+ (* (- y z) t) (* (* (- y z) (- (sqrt x))) (sqrt x)))
94.0ms	(* (- y z) (- (sqrt x)))
68.0ms	(* (* (- y z) (- (sqrt x))) (sqrt x))

simplify1.9s

Counts

111 → 111

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	178	29225
1	521	22812
2	1733	22169
done	5002	22129

prune585.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes507.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	164
1	10	164
done	10	164

end0.0ms

sample1.2s

Algorithm

intervals

Results

628.0ms

12225×

body

valid