Details

sample68.0ms

Algorithm

intervals

Results

15.0ms	216×	body	80	valid
10.0ms	31×	body	1280	valid
10.0ms	38×	body	640	valid
4.0ms	18×	body	320	valid
2.0ms	4×	body	2560	valid
1.0ms	10×	body	160	valid

simplify11.3s

Counts

1 → 1

Iterations

Useful iterations: 5 (441.0ms)

Iter	Nodes	Cost
0	9	15
1	22	13
2	65	11
3	163	9
4	346	7
5	552	5
6	1353	5
7	4543	5
done	5000	5

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	(* (- x z) y)

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 22

Calls

1 calls:

29.0ms

(* (- x z) y)

series50.0ms

Counts

1 → 3

Calls

1 calls:

50.0ms

(* (- x z) y)

simplify4.6s

Counts

25 → 25

Iterations

Useful iterations: 3 (457.0ms)

Iter	Nodes	Cost
0	49	185
1	105	178
2	341	162
3	1216	158
4	4158	158
done	5001	158

prune68.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (- x z) y)) (cbrt (* (- x z) y)))
4.2b	(cbrt (* (- x z) y))
4.2b	(cbrt (* (- x z) y))
4.2b	(cbrt (* (- x z) y))

rewrite114.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

64.0ms	(* (cbrt (* (- x z) y)) (cbrt (* (- x z) y)))
17.0ms	(cbrt (* (- x z) y))
17.0ms	(cbrt (* (- x z) y))
14.0ms	(cbrt (* (- x z) y))

series896.0ms

Counts

4 → 12

Calls

4 calls:

252.0ms	(* (cbrt (* (- x z) y)) (cbrt (* (- x z) y)))
213.0ms	(cbrt (* (- x z) y))
232.0ms	(cbrt (* (- x z) y))
198.0ms	(cbrt (* (- x z) y))

simplify2.0s

Counts

84 → 84

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	146	1322
1	335	1219
2	872	1123
3	2336	1026
done	5000	946

prune323.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x y) (* y y))
0.0b	(- (+ (* x y) (* y y)) (* y z))
9.1b	(- (- (+ (* x y) (* y y)) (* y z)) (* y y))

rewrite321.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-log-exp`
7×	`diff-log`
5×	`associate--l+`
4×	`add-sqr-sqrt`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `distribute-rgt-out` `*-un-lft-identity` `sum-log` `add-cbrt-cube` `distribute-lft-out--`
2×	`flip3--` `flip--`
1×	`+-commutative` `associate--l-` `flip3-+` `flip-+` `difference-of-squares`

Counts

3 → 47

Calls

3 calls:

9.0ms	(+ (* x y) (* y y))
77.0ms	(- (+ (* x y) (* y y)) (* y z))
233.0ms	(- (- (+ (* x y) (* y y)) (* y z)) (* y y))

series145.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(+ (* x y) (* y y))
37.0ms	(- (+ (* x y) (* y y)) (* y z))
51.0ms	(- (- (+ (* x y) (* y y)) (* y z)) (* y y))

simplify3.3s

Counts

56 → 56

Iterations

Useful iterations: done (3.3s)

Iter	Nodes	Cost
0	83	877
1	234	665
2	836	553
3	3881	511
done	5000	484

prune170.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 15

Calls

1 calls:

11.0ms

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

series62.0ms

Counts

1 → 3

Calls

1 calls:

62.0ms

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

simplify2.7s

Counts

18 → 18

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	36	200
1	115	145
2	465	128
3	1932	124
done	5001	122

prune468.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes83.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	5
1	6	5
done	6	5

end0.0ms

sample1.9s

Algorithm

intervals

Results

601.0ms	7015×	body	80	valid
305.0ms	940×	body	1280	valid
274.0ms	967×	body	640	valid
113.0ms	215×	body	2560	valid
102.0ms	623×	body	320	valid
40.0ms	353×	body	160	valid