Details

sample22.0ms

Algorithm

intervals

Results

8.0ms	256×	pre	80	true
4.0ms	256×	body	80	valid

simplify167.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	7
1	11	7
2	27	7
3	65	7
4	104	7
5	134	7
6	154	7
7	171	7
8	173	7
done	173	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (+ a b) (+ a b))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
8×	`pow1`
7×	`add-sqr-sqrt`
6×	`flip3-+` `swap-sqr` `flip-+` `distribute-lft-out`
5×	`add-cube-cbrt`
4×	`frac-times` `associate-r` `associate-l`
3×	`add-exp-log` `add-cbrt-cube`
2×	`associate-r/` `associate-l/`
1×	`pow2` `distribute-rgt-in` `expm1-log1p-u` `distribute-lft-in` `pow-plus` `pow-prod-down` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 42

Calls

1 calls:

34.0ms

(* (+ a b) (+ a b))

series16.0ms

Counts

1 → 3

Calls

1 calls:

16.0ms

(* (+ a b) (+ a b))

simplify2.7s

Counts

45 → 45

Iterations

Useful iterations: 3 (1.3s)

Iter	Nodes	Cost
0	64	532
1	195	462
2	790	416
3	3636	380
done	5000	380

prune67.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma b (fma a 2 b) (* a a))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma b (fma a 2 b) (* a a))

series28.0ms

Counts

1 → 3

Calls

1 calls:

28.0ms

(fma b (fma a 2 b) (* a a))

simplify1.1s

Counts

13 → 13

Iterations

Useful iterations: 2 (18.0ms)

Iter	Nodes	Cost
0	22	165
1	43	162
2	100	135
3	323	135
4	1691	135
done	5000	135

prune39.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* a a) (* b b))
0.2b	(* (fma a a (* b (- b a))) (- a b))
0.3b	(* (+ (pow a 3) (pow b 3)) (- (* a a) (* b b)))
0.3b	(/ (* (+ (pow a 3) (pow b 3)) (- (* a a) (* b b))) (* (fma a a (* b (- b a))) (- a b)))

rewrite257.0ms

Algorithm

rewrite-expression-head

Rules

32×	`*-un-lft-identity`
26×	`add-sqr-sqrt`
21×	`prod-diff`
20×	`add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
14×	`distribute-rgt-in` `distribute-lft-in`
12×	`associate-l`
9×	`flip3--` `associate-r` `flip--`
8×	`pow1` `frac-times` `associate-*r/` `associate-/l/`
6×	`flip3-+` `prod-exp` `cbrt-unprod` `flip-+` `add-log-exp`
5×	`sub-neg` `distribute-lft-out`
4×	`cbrt-undiv` `expm1-log1p-u` `unpow-prod-down` `cube-prod` `div-exp` `associate-*l/` `log1p-expm1-u`
3×	`difference-of-squares`
2×	`pow-prod-down` `associate-/r/` `*-commutative` `unswap-sqr`
1×	`frac-2neg` `times-frac` `fma-neg` `diff-log` `clear-num` `associate-/r` `sum-cubes` `div-inv` `associate-/l` `distribute-lft-out--`

Counts

4 → 137

Calls

4 calls:

13.0ms	(- (* a a) (* b b))
35.0ms	(* (fma a a (* b (- b a))) (- a b))
126.0ms	(* (+ (pow a 3) (pow b 3)) (- (* a a) (* b b)))
75.0ms	(/ (* (+ (pow a 3) (pow b 3)) (- (* a a) (* b b))) (* (fma a a (* b (- b a))) (- a b)))

series350.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(- (* a a) (* b b))
73.0ms	(* (fma a a (* b (- b a))) (- a b))
128.0ms	(* (+ (pow a 3) (pow b 3)) (- (* a a) (* b b)))
102.0ms	(/ (* (+ (pow a 3) (pow b 3)) (- (* a a) (* b b))) (* (fma a a (* b (- b a))) (- a b)))

simplify1.8s

Counts

149 → 149

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	244	3855
1	682	3524
2	3546	2961
done	5000	2925

prune556.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes37.0ms

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	6	9
done	6	9

end0.0ms

sample609.0ms

Algorithm

intervals

Results

175.0ms	8000×	body	80	valid
171.0ms	8000×	pre	80	true