Details

sample68.0ms

Algorithm

intervals

Results

19.0ms	230×	body	80	valid
8.0ms	25×	body	1280	valid
6.0ms	25×	body	640	valid
4.0ms	21×	body	320	valid
3.0ms	8×	body	2560	valid
1.0ms	9×	body	160	valid

simplify9.0s

Counts

1 → 1

Iterations

Useful iterations: 3 (70.0ms)

Iter	Nodes	Cost
0	9	15
1	21	15
2	72	7
3	257	5
4	1664	5
done	5000	5

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 1 expressions with local error:

0.0b	(* y (- x z))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
18×	`prod-diff`
17×	`*-un-lft-identity`
15×	`add-cube-cbrt`
11×	`distribute-rgt-in` `distribute-lft-in`
5×	`associate-r`
3×	`pow1` `add-exp-log` `associate-l` `add-cbrt-cube`
2×	`sub-neg` `associate-*r/`
1×	`expm1-log1p-u` `flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `difference-of-squares` `unswap-sqr`

Counts

1 → 46

Calls

1 calls:

44.0ms

(* y (- x z))

series71.0ms

Counts

1 → 3

Calls

1 calls:

70.0ms

(* y (- x z))

simplify812.0ms

Counts

49 → 49

Iterations

Useful iterations: done (810.0ms)

Iter	Nodes	Cost
0	102	721
1	235	554
2	832	440
done	5001	414

prune209.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 1 expressions with local error:

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

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
2×	`distribute-rgt-neg-out`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `fma-def` `*-un-lft-identity` `flip3-+` `unsub-neg` `sum-log` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `distribute-lft-out`

Counts

1 → 17

Calls

1 calls:

17.0ms

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

series75.0ms

Counts

1 → 3

Calls

1 calls:

75.0ms

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

simplify4.5s

Counts

20 → 20

Iterations

Useful iterations: done (4.5s)

Iter	Nodes	Cost
0	34	206
1	115	146
2	588	133
3	3830	129
done	5000	128

prune135.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 2 expressions with local error:

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

rewrite615.0ms

Algorithm

rewrite-expression-head

Rules

55×	`distribute-rgt-in` `distribute-lft-in`
54×	`prod-diff`
49×	`add-sqr-sqrt`
45×	`*-un-lft-identity`
43×	`add-cube-cbrt`
12×	`associate-l`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
7×	`sqrt-prod`
6×	`sub-neg` `associate-r/` `associate-r*`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `flip3--` `*-commutative` `flip--` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

2 → 119

Calls

2 calls:

56.0ms	(* (sqrt y) (- x z))
547.0ms	(* (sqrt y) (* (sqrt y) (- x z)))

series232.0ms

Counts

2 → 6

Calls

2 calls:

144.0ms	(* (sqrt y) (- x z))
88.0ms	(* (sqrt y) (* (sqrt y) (- x z)))

simplify4.0s

Counts

125 → 125

Iterations

Useful iterations: done (4.0s)

Iter	Nodes	Cost
0	203	2593
1	595	2085
2	3641	1323
done	5000	1318

prune465.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize48.0ms

Local error

Found 4 expressions with local error:

2.4b	(+ (* x x) (+ (* z z) (* x z)))
2.7b	(- (pow x 3) (pow z 3))
8.5b	(* (- (pow x 3) (pow z 3)) y)
38.2b	(/ (* (- (pow x 3) (pow z 3)) y) (+ (* x x) (+ (* z z) (* x z))))

rewrite484.0ms

Algorithm

rewrite-expression-head

Rules

144×	`prod-diff`
133×	`add-sqr-sqrt`
103×	`*-un-lft-identity`
99×	`unpow-prod-down` `cube-prod`
83×	`add-cube-cbrt`
41×	`sqr-pow`
32×	`difference-of-squares`
25×	`cube-mult` `unpow3` `associate-l`
12×	`fma-neg`
11×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
10×	`distribute-lft-out--`
6×	`pow1`
4×	`expm1-log1p-u` `associate-*l/` `log1p-expm1-u`
3×	`flip3--` `times-frac` `associate-r` `associate-/r*` `sum-log` `flip--`
2×	`difference-cubes` `cbrt-undiv` `flip3-+` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `flip-+` `associate-/l/`
1×	`+-commutative` `sub-neg` `associate-+r+` `fma-def` `frac-2neg` `diff-log` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

4 → 279

Calls

4 calls:

46.0ms	(+ (* x x) (+ (* z z) (* x z)))
64.0ms	(- (pow x 3) (pow z 3))
178.0ms	(* (- (pow x 3) (pow z 3)) y)
167.0ms	(/ (* (- (pow x 3) (pow z 3)) y) (+ (* x x) (+ (* z z) (* x z))))

series426.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(+ (* x x) (+ (* z z) (* x z)))
102.0ms	(- (pow x 3) (pow z 3))
123.0ms	(* (- (pow x 3) (pow z 3)) y)
162.0ms	(/ (* (- (pow x 3) (pow z 3)) y) (+ (* x x) (+ (* z z) (* x z))))

simplify798.0ms

Counts

291 → 291

Iterations

Useful iterations: done (774.0ms)

Iter	Nodes	Cost
0	299	7567
1	793	4619
done	5000	3951

prune1.2s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes223.0ms

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 (1.0ms)

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

end0.0ms

sample3.0s

Algorithm

intervals

Results

1.3s	7012×	body	80	valid
474.0ms	991×	body	1280	valid
259.0ms	896×	body	640	valid
131.0ms	636×	body	320	valid
97.0ms	219×	body	2560	valid
96.0ms	383×	body	160	valid