Details

sample40.0ms

Algorithm

intervals

Results

8.0ms	212×	body	80	valid
7.0ms	41×	body	1280	valid
5.0ms	40×	body	640	valid
3.0ms	30×	body	320	valid
1.0ms	12×	body	160	valid
1.0ms	4×	body	2560	valid

simplify6.1s

Counts

1 → 1

Iterations

Useful iterations: 3 (26.0ms)

Iter	Nodes	Cost
0	9	15
1	20	15
2	64	7
3	151	5
4	480	5
5	1488	5
done	5000	5

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(* y (- x z))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 26

Calls

1 calls:

28.0ms

(* y (- x z))

series57.0ms

Counts

1 → 3

Calls

1 calls:

57.0ms

(* y (- x z))

simplify3.3s

Counts

29 → 29

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	52	217
1	113	206
2	288	186
3	1040	186
4	3890	186
done	5001	186

prune97.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 1 expressions with local error:

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

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
2×	`distribute-rgt-neg-out`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `unsub-neg` `sum-log` `add-cbrt-cube` `flip-+` `distribute-lft-out`

Counts

1 → 14

Calls

1 calls:

17.0ms

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

series72.0ms

Counts

1 → 3

Calls

1 calls:

72.0ms

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

simplify2.8s

Counts

17 → 17

Iterations

Useful iterations: done (2.8s)

Iter	Nodes	Cost
0	32	188
1	107	135
2	413	122
3	1589	118
done	5000	116

prune49.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

2.2b	(+ (* z z) (* x z))
2.2b	(- (pow x 3) (pow z 3))
5.1b	(* y (- (pow x 3) (pow z 3)))
36.5b	(/ (* y (- (pow x 3) (pow z 3))) (+ (* x x) (+ (* z z) (* x z))))

rewrite282.0ms

Algorithm

rewrite-expression-head

Rules

58×	`add-sqr-sqrt`
32×	`difference-of-squares`
28×	`*-un-lft-identity`
25×	`associate-r`
24×	`unpow-prod-down` `cube-prod`
16×	`sqr-pow`
11×	`add-exp-log` `add-cbrt-cube`
10×	`distribute-lft-out--`
8×	`add-cube-cbrt` `add-log-exp`
6×	`pow1`
4×	`associate-*r/`
3×	`sub-neg` `flip3--` `times-frac` `associate-l` `associate-/r*` `flip--`
2×	`difference-cubes` `cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `flip3-+` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `flip-+` `associate-/l/`
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 → 117

Calls

4 calls:

17.0ms	(+ (* z z) (* x z))
25.0ms	(- (pow x 3) (pow z 3))
142.0ms	(* y (- (pow x 3) (pow z 3)))
89.0ms	(/ (* y (- (pow x 3) (pow z 3))) (+ (* x x) (+ (* z z) (* x z))))

series475.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(+ (* z z) (* x z))
80.0ms	(- (pow x 3) (pow z 3))
144.0ms	(* y (- (pow x 3) (pow z 3)))
198.0ms	(/ (* y (- (pow x 3) (pow z 3))) (+ (* x x) (+ (* z z) (* x z))))

simplify1.1s

Counts

129 → 129

Iterations

Useful iterations: 2 (388.0ms)

Iter	Nodes	Cost
0	172	2021
1	491	1765
2	1798	1595
done	5001	1595

prune443.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes68.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	12	8
2	16	8
3	17	8
done	17	8

end0.0ms

sample2.4s

Algorithm

intervals

Results

789.0ms	923×	body	640	valid
640.0ms	7064×	body	80	valid
265.0ms	954×	body	1280	valid
105.0ms	637×	body	320	valid
78.0ms	228×	body	2560	valid
44.0ms	356×	body	160	valid