Details

sample97.0ms

Algorithm

intervals

Results

35.0ms	329×	body	80	valid
0.0ms	1×	body	640	valid

simplify6.6s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	11	7
2	26	7
3	56	7
4	137	7
5	335	7
6	769	7
7	994	7
8	1308	7
9	3337	7
done	5000	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (+ x y) (- 1.0 z))

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 33

Calls

1 calls:

84.0ms

(* (+ x y) (- 1.0 z))

series58.0ms

Counts

1 → 3

Calls

1 calls:

58.0ms

(* (+ x y) (- 1.0 z))

simplify1.3s

Counts

36 → 36

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	84	448
1	248	433
2	1119	403
done	5000	401

prune259.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize43.0ms

Local error

Found 2 expressions with local error:

0.8b	(* (- (* 1.0 1.0) (* z z)) (+ x y))
11.9b	(/ (* (- (* 1.0 1.0) (* z z)) (+ x y)) (+ 1.0 z))

rewrite537.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 63

Calls

2 calls:

130.0ms	(* (- (* 1.0 1.0) (* z z)) (+ x y))
398.0ms	(/ (* (- (* 1.0 1.0) (* z z)) (+ x y)) (+ 1.0 z))

series374.0ms

Counts

2 → 6

Calls

2 calls:

203.0ms	(* (- (* 1.0 1.0) (* z z)) (+ x y))
157.0ms	(/ (* (- (* 1.0 1.0) (* z z)) (+ x y)) (+ 1.0 z))

simplify8.2s

Counts

69 → 69

Iterations

Useful iterations: done (8.2s)

Iter	Nodes	Cost
0	136	1320
1	476	1254
2	3055	1074
done	5000	1066

prune499.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize60.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x y) (- 1.0 z))
0.0b	(sqrt (* (+ x y) (- 1.0 z)))
0.0b	(sqrt (* (+ x y) (- 1.0 z)))
0.2b	(* (sqrt (* (+ x y) (- 1.0 z))) (sqrt (* (+ x y) (- 1.0 z))))

rewrite339.0ms

Algorithm

rewrite-expression-head

Rules

160×	`sqrt-div`
148×	`frac-times`
63×	`flip3--` `flip3-+` `flip--` `flip-+`
61×	`pow1`
50×	`associate-r/` `associate-l/`
32×	`sqrt-pow1`
23×	`pow-prod-down`
16×	`add-sqr-sqrt`
14×	`*-un-lft-identity`
12×	`pow1/2`
10×	`add-cube-cbrt` `pow-prod-up`
9×	`associate-r`
8×	`add-exp-log` `associate-l` `add-cbrt-cube`
6×	`sqrt-prod` `pow-sqr`
4×	`swap-sqr` `add-log-exp`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 200

Calls

4 calls:

74.0ms	(* (+ x y) (- 1.0 z))
25.0ms	(sqrt (* (+ x y) (- 1.0 z)))
22.0ms	(sqrt (* (+ x y) (- 1.0 z)))
187.0ms	(* (sqrt (* (+ x y) (- 1.0 z))) (sqrt (* (+ x y) (- 1.0 z))))

series1.0s

Counts

4 → 12

Calls

4 calls:

65.0ms	(* (+ x y) (- 1.0 z))
452.0ms	(sqrt (* (+ x y) (- 1.0 z)))
242.0ms	(sqrt (* (+ x y) (- 1.0 z)))
244.0ms	(* (sqrt (* (+ x y) (- 1.0 z))) (sqrt (* (+ x y) (- 1.0 z))))

simplify6.7s

Counts

212 → 212

Iterations

Useful iterations: done (6.4s)

Iter	Nodes	Cost
0	312	5813
1	604	5023
2	2658	4891
done	5001	4855

prune2.5s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes195.0ms

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	7	7
1	9	7
done	9	7

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.9s	10090×	body	80	valid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid