Details

sample38.0ms

Algorithm

intervals

Results

9.0ms	256×	pre	80	true
8.0ms	256×	body	80	valid

simplify36.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	18	7
2	39	7
3	65	7
done	65	7

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b	(* a (+ (+ b c) d))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 24

Calls

1 calls:

89.0ms

(* a (+ (+ b c) d))

series30.0ms

Counts

1 → 3

Calls

1 calls:

30.0ms

(* a (+ (+ b c) d))

simplify1.7s

Counts

27 → 27

Iterations

Useful iterations: 3 (734.0ms)

Iter	Nodes	Cost
0	52	255
1	147	240
2	563	216
3	3281	212
done	5002	212

prune71.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ b c) a)
0.0b	(+ (* (+ b c) a) (* d a))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-l` `add-cbrt-cube` `add-log-exp`
3×	`associate-r`
2×	`flip3-+` `associate-*l/` `flip-+`
1×	`+-commutative` `distribute-rgt-out` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

2 → 33

Calls

2 calls:

37.0ms	(* (+ b c) a)
24.0ms	(+ (* (+ b c) a) (* d a))

series86.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(* (+ b c) a)
45.0ms	(+ (* (+ b c) a) (* d a))

simplify2.8s

Counts

39 → 39

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	68	387
1	191	329
2	768	303
3	3716	301
done	5000	301

prune100.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (* (+ b c) (sqrt a)) (sqrt a)) (* d a))
0.3b	(* (+ b c) (sqrt a))
0.4b	(* (* (+ b c) (sqrt a)) (sqrt a))

rewrite180.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `associate-r`
10×	`pow1` `add-exp-log` `*-un-lft-identity` `add-cbrt-cube`
8×	`add-cube-cbrt`
7×	`sqrt-prod`
6×	`associate-*l/`
5×	`associate-l` `add-log-exp`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`flip3-+` `flip-+`
2×	`*-commutative` `unswap-sqr`
1×	`+-commutative` `sum-log` `distribute-lft-out`

Counts

3 → 59

Calls

3 calls:

79.0ms	(+ (* (* (+ b c) (sqrt a)) (sqrt a)) (* d a))
49.0ms	(* (+ b c) (sqrt a))
49.0ms	(* (* (+ b c) (sqrt a)) (sqrt a))

series202.0ms

Counts

3 → 9

Calls

3 calls:

69.0ms	(+ (* (* (+ b c) (sqrt a)) (sqrt a)) (* d a))
67.0ms	(* (+ b c) (sqrt a))
66.0ms	(* (* (+ b c) (sqrt a)) (sqrt a))

simplify3.2s

Counts

68 → 68

Iterations

Useful iterations: 3 (1.6s)

Iter	Nodes	Cost
0	104	856
1	293	646
2	997	554
3	3990	540
done	5002	540

prune248.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* (+ b c) (+ b c)) (* d d))
0.0b	(* (+ b c) (+ b c))
0.5b	(* a (- (* (+ b c) (+ b c)) (* d d)))
5.7b	(/ (* a (- (* (+ b c) (+ b c)) (* d d))) (- (+ b c) d))

rewrite315.0ms

Algorithm

rewrite-expression-head

Rules

36×	`*-un-lft-identity`
20×	`add-sqr-sqrt`
13×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`add-cube-cbrt`
8×	`distribute-rgt-in` `distribute-lft-in` `associate-r` `distribute-lft-out`
7×	`associate-l`
6×	`flip3-+` `times-frac` `associate-r/` `swap-sqr` `associate--l+` `associate-/r` `flip-+` `add-log-exp`
4×	`frac-times` `flip3--` `flip--` `distribute-lft-out--` `difference-of-squares`
3×	`sub-neg` `prod-exp` `cbrt-unprod`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `associate-/r/` `-commutative` `associate-/l/` `unswap-sqr`
1×	`pow2` `frac-2neg` `pow-plus` `diff-log` `clear-num` `pow-sqr` `pow-prod-up` `div-inv` `associate-/l*`

Counts

4 → 115

Calls

4 calls:

26.0ms	(- (* (+ b c) (+ b c)) (* d d))
59.0ms	(* (+ b c) (+ b c))
86.0ms	(* a (- (* (+ b c) (+ b c)) (* d d)))
139.0ms	(/ (* a (- (* (+ b c) (+ b c)) (* d d))) (- (+ b c) d))

series406.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(- (* (+ b c) (+ b c)) (* d d))
19.0ms	(* (+ b c) (+ b c))
177.0ms	(* a (- (* (+ b c) (+ b c)) (* d d)))
135.0ms	(/ (* a (- (* (+ b c) (+ b c)) (* d d))) (- (+ b c) d))

simplify1.6s

Counts

127 → 127

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	185	2175
1	510	2017
2	2003	1741
done	5001	1519

prune367.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes132.0ms

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	7	7
1	10	7
done	10	7

end0.0ms

sample1.3s

Algorithm

intervals

Results

285.0ms	8000×	pre	80	true
229.0ms	8000×	body	80	valid