Details

sample55.0ms

Algorithm

intervals

Results

12.0ms	239×	body	80	valid
9.0ms	36×	body	1280	valid
6.0ms	11×	body	320	valid
5.0ms	27×	body	640	valid
2.0ms	21×	body	160	valid
1.0ms	5×	body	2560	valid

simplify685.0ms

Counts: 1 → 1

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(* y (- x z))

rewrite32.0ms

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:

31.0ms

(* y (- x z))

series54.0ms

Counts

1 → 3

Calls

1 calls:

54.0ms

(* y (- x z))

simplify790.0ms

Counts: 29 → 29

prune48.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.5b	(cbrt y)
0.5b	(cbrt y)
0.5b	(cbrt y)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

12.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series1.0s

Counts

4 → 12

Calls

4 calls:

289.0ms	(* (cbrt y) (cbrt y))
268.0ms	(cbrt y)
249.0ms	(cbrt y)
226.0ms	(cbrt y)

simplify775.0ms

Counts: 85 → 85

prune209.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
0.5b	(cbrt y)
0.6b	(cbrt (cbrt y))
0.6b	(cbrt (* (cbrt y) (cbrt y)))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

16×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 45

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt (cbrt y))
6.0ms	(cbrt (* (cbrt y) (cbrt y)))

series1.2s

Counts

4 → 12

Calls

4 calls:

261.0ms	(cbrt y)
255.0ms	(cbrt y)
333.0ms	(cbrt (cbrt y))
354.0ms	(cbrt (* (cbrt y) (cbrt y)))

simplify981.0ms

Counts: 57 → 57

prune230.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

2.3b	(+ (* z z) (* x z))
2.8b	(- (pow x 3) (pow z 3))
6.1b	(* y (- (pow x 3) (pow z 3)))
37.2b	(/ (* y (- (pow x 3) (pow z 3))) (+ (* x x) (+ (* z z) (* x z))))

rewrite267.0ms

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:

12.0ms	(+ (* z z) (* x z))
35.0ms	(- (pow x 3) (pow z 3))
108.0ms	(* y (- (pow x 3) (pow z 3)))
103.0ms	(/ (* y (- (pow x 3) (pow z 3))) (+ (* x x) (+ (* z z) (* x z))))

series455.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(+ (* z z) (* x z))
72.0ms	(- (pow x 3) (pow z 3))
150.0ms	(* y (- (pow x 3) (pow z 3)))
198.0ms	(/ (* y (- (pow x 3) (pow z 3))) (+ (* x x) (+ (* z z) (* x z))))

simplify1.3s

Counts: 129 → 129

prune366.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes74.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify22.0ms

end0.0ms

sample1.8s

Algorithm

intervals

Results

643.0ms	978×	body	1280	valid
422.0ms	7035×	body	80	valid
143.0ms	830×	body	640	valid
89.0ms	517×	body	320	valid
77.0ms	532×	body	160	valid
53.0ms	204×	body	2560	valid