Details

sample18.0ms

Algorithm

intervals

Results

9.0ms

317×

body

valid

simplify5.6s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	9
1	11	9
2	18	9
3	28	9
4	37	9
5	46	9
6	64	9
7	98	9
8	161	9
9	348	9
10	887	9
11	3894	9
done	5000	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.4b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* y (- z x))
0.0b	(+ x (* y (- z x)))
10.6b	(/ (+ x (* y (- z x))) z)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 70

Calls

3 calls:

10.0ms	(* y (- z x))
3.0ms	(+ x (* y (- z x)))
8.0ms	(/ (+ x (* y (- z x))) z)

series111.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(* y (- z x))
32.0ms	(+ x (* y (- z x)))
44.0ms	(/ (+ x (* y (- z x))) z)

simplify2.0s

Counts

79 → 79

Iterations

Useful iterations: 2 (78.0ms)

Iter	Nodes	Cost
0	117	903
1	270	858
2	941	794
3	3738	794
done	5000	794

prune155.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 4.3b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (+ (/ x z) y) (/ (* x y) z))
6.8b	(/ (* x y) z)

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

9×	`*-un-lft-identity`
7×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
6×	`add-sqr-sqrt`
4×	`add-cube-cbrt`
3×	`times-frac` `associate-/r*`
2×	`pow1` `cbrt-undiv` `diff-log` `div-exp` `frac-sub` `distribute-lft-out--`
1×	`sub-neg` `flip3--` `frac-2neg` `flip3-+` `prod-exp` `associate--l+` `clear-num` `sum-log` `flip--` `cbrt-unprod` `flip-+` `div-inv` `distribute-lft-out` `associate-/l*` `difference-of-squares`

Counts

2 → 40

Calls

2 calls:

71.0ms	(- (+ (/ x z) y) (/ (* x y) z))
4.0ms	(/ (* x y) z)

series52.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(- (+ (/ x z) y) (/ (* x y) z))
23.0ms	(/ (* x y) z)

simplify1.7s

Counts

46 → 46

Iterations

Useful iterations: 3 (414.0ms)

Iter	Nodes	Cost
0	96	599
1	260	567
2	987	527
3	4765	495
done	5000	495

prune92.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 1 expressions with local error:

3.4b	(* (+ (- y) 1) (/ x z))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
13×	`-un-lft-identity` `associate-r*`
10×	`times-frac`
9×	`add-cube-cbrt`
6×	`add-exp-log` `add-cbrt-cube`
5×	`associate-l`
3×	`pow1`
2×	`frac-times` `flip3-+` `associate-*l/` `prod-exp` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`
1×	`cbrt-undiv` `distribute-rgt-neg-in` `associate-r/` `div-exp` `pow-prod-down` `-commutative` `div-inv` `add-log-exp`

Counts

1 → 38

Calls

1 calls:

28.0ms

(* (+ (- y) 1) (/ x z))

series32.0ms

Counts

1 → 3

Calls

1 calls:

32.0ms

(* (+ (- y) 1) (/ x z))

simplify2.6s

Counts

41 → 41

Iterations

Useful iterations: 3 (641.0ms)

Iter	Nodes	Cost
0	90	493
1	250	458
2	1109	371
3	4304	364
done	5000	364

prune91.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (+ (/ x z) y) (* x (/ y z)))
5.5b	(* x (/ y z))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`associate-r`
10×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
7×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
4×	`pow1`
3×	`associate-r/` `associate-l*`
2×	`diff-log` `prod-exp` `frac-sub` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `sub-neg` `flip3--` `flip3-+` `div-exp` `pow-prod-down` `associate--l+` `sum-log` `*-commutative` `flip--` `flip-+` `div-inv`

Counts

2 → 48

Calls

2 calls:

69.0ms	(- (+ (/ x z) y) (* x (/ y z)))
8.0ms	(* x (/ y z))

series48.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify526.0ms

Counts

54 → 54

Iterations

Useful iterations: done (525.0ms)

Iter	Nodes	Cost
0	115	642
1	312	600
2	1254	560
done	5000	530

prune106.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes44.0ms

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: 1 (1.0ms)

Iter	Nodes	Cost
0	10	12
1	16	10
2	18	10
done	18	10

end0.0ms

sample435.0ms

Algorithm

intervals

Results

233.0ms

10098×

body

valid