Details

sample44.0ms

Algorithm

intervals

Results

9.0ms	228×	body	80	valid
7.0ms	4×	body	2560	valid
6.0ms	35×	body	1280	valid
4.0ms	29×	body	640	valid
2.0ms	15×	body	320	valid
1.0ms	13×	body	160	valid

simplify572.0ms

Counts: 1 → 1

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(* y (- x z))

rewrite22.0ms

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:

21.0ms

(* y (- x z))

series51.0ms

Counts

1 → 3

Calls

1 calls:

50.0ms

(* y (- x z))

simplify594.0ms

Counts: 29 → 29

prune50.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite9.0ms

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:

8.0ms

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

series44.0ms

Counts

1 → 3

Calls

1 calls:

43.0ms

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

simplify1.1s

Counts: 17 → 17

prune41.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* y x) (* y (- z)))) (cbrt (+ (* y x) (* y (- z)))))
3.5b	(cbrt (+ (* y x) (* y (- z))))
3.5b	(cbrt (+ (* y x) (* y (- z))))
3.5b	(cbrt (+ (* y x) (* y (- z))))

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

32×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
7×	`swap-sqr` `associate-r` `associate-l` `distribute-lft-out`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 93

Calls

4 calls:

78.0ms	(* (cbrt (+ (* y x) (* y (- z)))) (cbrt (+ (* y x) (* y (- z)))))
9.0ms	(cbrt (+ (* y x) (* y (- z))))
7.0ms	(cbrt (+ (* y x) (* y (- z))))
8.0ms	(cbrt (+ (* y x) (* y (- z))))

series705.0ms

Counts

4 → 12

Calls

4 calls:

175.0ms	(* (cbrt (+ (* y x) (* y (- z)))) (cbrt (+ (* y x) (* y (- z)))))
171.0ms	(cbrt (+ (* y x) (* y (- z))))
175.0ms	(cbrt (+ (* y x) (* y (- z))))
184.0ms	(cbrt (+ (* y x) (* y (- z))))

simplify1.4s

Counts: 105 → 105

prune446.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

1.4b	(+ (* x x) (+ (* z z) (* x z)))
3.4b	(- (pow x 3) (pow z 3))
5.7b	(* y (- (pow x 3) (pow z 3)))
36.7b	(/ (* y (- (pow x 3) (pow z 3))) (+ (* x x) (+ (* z z) (* x z))))

rewrite254.0ms

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` `add-log-exp`
10×	`distribute-lft-out--`
8×	`add-cube-cbrt`
6×	`pow1`
4×	`associate-*r/`
3×	`sub-neg` `flip3--` `times-frac` `associate-l` `associate-/r*` `sum-log` `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` `associate-+r+` `frac-2neg` `diff-log` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

4 → 118

Calls

4 calls:

27.0ms	(+ (* x x) (+ (* z z) (* x z)))
40.0ms	(- (pow x 3) (pow z 3))
95.0ms	(* y (- (pow x 3) (pow z 3)))
86.0ms	(/ (* y (- (pow x 3) (pow z 3))) (+ (* x x) (+ (* z z) (* x z))))

series453.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(+ (* x x) (+ (* z z) (* x z)))
86.0ms	(- (pow x 3) (pow z 3))
153.0ms	(* y (- (pow x 3) (pow z 3)))
190.0ms	(/ (* y (- (pow x 3) (pow z 3))) (+ (* x x) (+ (* z z) (* x z))))

simplify1.4s

Counts: 130 → 130

prune469.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes82.0ms

Accuracy

-21.4% (0.0b remaining)

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

bsearch0.0ms

simplify39.0ms

end0.0ms

sample2.3s

Algorithm

intervals

Results

939.0ms	7017×	body	80	valid
295.0ms	972×	body	1280	valid
240.0ms	847×	body	640	valid
169.0ms	545×	body	320	valid
75.0ms	245×	body	2560	valid
53.0ms	511×	body	160	valid