Details

sample56.0ms

Algorithm

intervals

Results

14.0ms	237×	body	80	valid
9.0ms	34×	body	1280	valid
6.0ms	25×	body	640	valid
3.0ms	16×	body	320	valid
2.0ms	15×	body	160	valid
1.0ms	3×	body	2560	valid

simplify1.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
4	1658
3	210
2	68
1	22
0	9

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

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

Counts

1 → 26

Calls

1 calls:

27.0ms

(* y (- x z))

series71.0ms

Counts

1 → 3

Calls

1 calls:

71.0ms

(* y (- x z))

simplify989.0ms

Counts

29 → 29

Iterations

Iter	Nodes
done	5002
3	1699
2	383
1	125
0	52

prune118.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 1 expressions with local error:

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

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-log-exp`
2×	`sum-log`
1×	`neg-sub0` `add-sqr-sqrt` `pow1` `+-commutative` `associate-+r-` `distribute-rgt-neg-in` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `unsub-neg` `neg-log` `add-exp-log` `add-cube-cbrt` `flip-+` `distribute-lft-out`

Counts

1 → 16

Calls

1 calls:

14.0ms

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

series49.0ms

Counts

1 → 3

Calls

1 calls:

49.0ms

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

simplify393.0ms

Counts

19 → 19

Iterations

Iter	Nodes
done	5001
2	664
1	120
0	39

prune103.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (sqrt (- x z)) y)
0.1b	(* (* (sqrt (- x z)) y) (sqrt (- x z)))

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
14×	`sqrt-div`
11×	`-un-lft-identity` `associate-r*` `sqrt-prod`
10×	`associate-*l/`
9×	`pow1` `add-cbrt-cube` `associate-l` `add-exp-log`
7×	`flip3--` `add-cube-cbrt` `flip--`
4×	`frac-times` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`associate-r/` `-commutative` `distribute-lft-out--` `add-log-exp` `difference-of-squares` `unswap-sqr`

Counts

2 → 57

Calls

2 calls:

19.0ms	(* (sqrt (- x z)) y)
85.0ms	(* (* (sqrt (- x z)) y) (sqrt (- x z)))

series144.0ms

Counts

2 → 6

Calls

2 calls:

102.0ms	(* (sqrt (- x z)) y)
42.0ms	(* (* (sqrt (- x z)) y) (sqrt (- x z)))

simplify1.2s

Counts

63 → 63

Iterations

Iter	Nodes
done	5000
2	1368
1	271
0	112

prune239.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- x z) y)
0.3b	(pow (* (- x z) y) 3)
31.6b	(cbrt (pow (* (- x z) y) 3))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
9×	`*-un-lft-identity`
8×	`cbrt-prod` `pow1` `add-cbrt-cube` `add-exp-log`
7×	`add-cube-cbrt`
6×	`associate-*l/`
5×	`associate-l`
4×	`cube-div`
3×	`pow-unpow` `flip3--` `associate-r` `flip--` `add-log-exp`
2×	`cube-mult` `cbrt-div` `unpow-prod-down` `pow-pow` `unpow3` `cube-prod` `pow-prod-down` `pow-exp` `prod-exp` `cbrt-unprod` `rem-cube-cbrt` `sqr-pow`
1×	`pow-to-exp` `pow1/3` `*-commutative` `rem-cbrt-cube` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 65

Calls

3 calls:

17.0ms	(* (- x z) y)
10.0ms	(pow (* (- x z) y) 3)
13.0ms	(cbrt (pow (* (- x z) y) 3))

series231.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(* (- x z) y)
84.0ms	(pow (* (- x z) y) 3)
89.0ms	(cbrt (pow (* (- x z) y) 3))

simplify1.3s

Counts

74 → 74

Iterations

Iter	Nodes
done	5001
2	1896
1	320
0	117

prune429.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes218.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	16
2	16
1	14
0	7

end0.0ms

sample2.4s

Algorithm

intervals

Results

695.0ms	927×	body	1280	valid
603.0ms	7010×	body	80	valid
264.0ms	877×	body	640	valid
138.0ms	531×	body	320	valid
93.0ms	558×	body	160	valid
80.0ms	214×	body	2560	valid