Details

sample35.0ms

Algorithm

intervals

Results

9.0ms	239×	body	80	valid
3.0ms	21×	body	640	valid
3.0ms	15×	body	1280	valid
2.0ms	18×	body	320	valid
1.0ms	17×	body	160	valid

simplify4.0s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	163
1	13	163
2	27	163
3	78	163
4	236	163
5	612	163
6	1788	163
done	5001	163

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.8b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- 1.0 x) (- 1.0 y))
3.2b	(+ x (* (- 1.0 x) (- 1.0 y)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
8×	`*-un-lft-identity`
6×	`flip3--` `flip--`
5×	`associate-r` `associate-l`
4×	`distribute-rgt-in` `frac-times` `pow1` `associate-+r+` `sub-neg` `distribute-lft-in` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `add-log-exp`
2×	`associate-l/` `associate-r/` `distribute-lft-out--` `difference-of-squares`
1×	`+-commutative` `sum-log` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

2 → 49

Calls

2 calls:

28.0ms	(* (- 1.0 x) (- 1.0 y))
6.0ms	(+ x (* (- 1.0 x) (- 1.0 y)))

series63.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(* (- 1.0 x) (- 1.0 y))
39.0ms	(+ x (* (- 1.0 x) (- 1.0 y)))

simplify1.1s

Counts

55 → 55

Iterations

Useful iterations: 2 (217.0ms)

Iter	Nodes	Cost
0	101	14480
1	285	12162
2	1057	11962
done	5000	11962

prune251.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 1 expressions with local error:

0.0b	(* y (- x 1.0))

rewrite37.0ms

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:

35.0ms

(* y (- x 1.0))

series44.0ms

Counts

1 → 3

Calls

1 calls:

44.0ms

(* y (- x 1.0))

simplify2.4s

Counts

29 → 29

Iterations

Useful iterations: 3 (340.0ms)

Iter	Nodes	Cost
0	52	4430
1	121	3897
2	317	3857
3	1078	3817
done	5000	3817

prune101.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (* y x) (* y (- 1.0)))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 14

Calls

1 calls:

7.0ms

(+ (* y x) (* y (- 1.0)))

series56.0ms

Counts

1 → 3

Calls

1 calls:

56.0ms

(+ (* y x) (* y (- 1.0)))

simplify2.2s

Counts

17 → 17

Iterations

Useful iterations: 3 (502.0ms)

Iter	Nodes	Cost
0	32	3708
1	107	2497
2	410	2457
3	1435	2377
done	5000	2377

prune86.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

5.0b	(* y (- (* x x) (* 1.0 1.0)))
7.4b	(/ (* y (- (* x x) (* 1.0 1.0))) (+ x 1.0))

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

10×	`*-un-lft-identity`
9×	`add-cbrt-cube` `add-exp-log`
8×	`add-sqr-sqrt`
6×	`add-cube-cbrt`
4×	`pow1` `associate-/r` `times-frac` `associate-r` `associate-r/`
3×	`associate-l`
2×	`distribute-rgt-in` `cbrt-undiv` `sub-neg` `distribute-lft-in` `flip3--` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `flip--` `distribute-lft-out` `add-log-exp` `associate-/l/`
1×	`clear-num` `frac-2neg` `flip3-+` `pow-prod-down` `-commutative` `flip-+` `div-inv` `associate-/l` `difference-of-squares` `unswap-sqr`

Counts

2 → 52

Calls

2 calls:

48.0ms	(* y (- (* x x) (* 1.0 1.0)))
43.0ms	(/ (* y (- (* x x) (* 1.0 1.0))) (+ x 1.0))

series202.0ms

Counts

2 → 6

Calls

2 calls:

83.0ms	(* y (- (* x x) (* 1.0 1.0)))
118.0ms	(/ (* y (- (* x x) (* 1.0 1.0))) (+ x 1.0))

simplify2.0s

Counts

58 → 58

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	104	15457
1	314	13788
2	1182	12866
done	5002	11598

prune238.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes100.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	203
1	14	203
2	18	203
3	19	203
done	19	203

end0.0ms

sample1.3s

Algorithm

intervals

Results

557.0ms	836×	body	640	valid
288.0ms	6939×	body	80	valid
99.0ms	451×	body	1280	valid
57.0ms	587×	body	320	valid
22.0ms	330×	body	160	valid