Details

sample58.0ms

Algorithm

intervals

Results

20.0ms	256×	pre	80	true
17.0ms	256×	body	80	valid

simplify57.0ms

Counts

1 → 1

Iterations

Iter	Nodes
5	64
4	64
3	61
2	38
1	18
0	7

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 1 expressions with local error:

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

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

8×	`*-un-lft-identity`
5×	`add-sqr-sqrt` `associate-r`
3×	`pow1` `add-cbrt-cube` `associate-l` `add-exp-log` `add-cube-cbrt` `distribute-lft-out`
2×	`associate-*r/`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `insert-posit16` `add-log-exp` `unswap-sqr`

Counts

1 → 25

Calls

1 calls:

55.0ms

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

series34.0ms

Counts

1 → 3

Calls

1 calls:

34.0ms

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

simplify864.0ms

Counts

28 → 28

Iterations

Iter	Nodes
3	3132
2	561
1	147
0	53

prune231.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 2 expressions with local error:

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

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`pow1` `add-cbrt-cube` `associate-l` `add-exp-log` `add-cube-cbrt` `add-log-exp`
3×	`associate-r`
2×	`flip3-+` `associate-*l/` `flip-+` `insert-posit16`
1×	`+-commutative` `sum-log` `distribute-rgt-out` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

2 → 35

Calls

2 calls:

18.0ms	(+ (* (+ b c) a) (* d a))
28.0ms	(* (+ b c) a)

series74.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(+ (* (+ b c) a) (* d a))
36.0ms	(* (+ b c) a)

simplify1.0s

Counts

41 → 41

Iterations

Iter	Nodes
3	2690
2	690
1	198
0	71

prune382.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite120.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity` `sqrt-div`
15×	`add-sqr-sqrt`
14×	`associate-l`
13×	`sqrt-prod`
12×	`pow1`
11×	`add-cbrt-cube` `add-exp-log`
10×	`associate-*l/` `add-cube-cbrt`
9×	`flip3-+` `flip-+`
6×	`add-log-exp`
4×	`frac-times` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16`
3×	`distribute-lft-out`
2×	`associate-r/` `-commutative` `unswap-sqr`
1×	`+-commutative` `rem-sqrt-square` `sum-log` `sqrt-pow1` `pow1/2`

Counts

4 → 86

Calls

4 calls:

4.0ms	(sqrt (+ b c))
49.0ms	(+ (* (sqrt (+ b c)) (* (sqrt (+ b c)) a)) (* d a))
25.0ms	(* (sqrt (+ b c)) a)
41.0ms	(* (sqrt (+ b c)) (* (sqrt (+ b c)) a))

series273.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(sqrt (+ b c))
100.0ms	(+ (* (sqrt (+ b c)) (* (sqrt (+ b c)) a)) (* d a))
74.0ms	(* (sqrt (+ b c)) a)
44.0ms	(* (sqrt (+ b c)) (* (sqrt (+ b c)) a))

simplify2.0s

Counts

98 → 98

Iterations

Iter	Nodes
3	4076
2	1230
1	415
0	158

prune721.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ b c) a)
0.1b	(sqrt (+ (* (+ b c) a) (* d a)))
0.1b	(sqrt (+ (* (+ b c) a) (* d a)))
0.5b	(* (sqrt (+ (* (+ b c) a) (* d a))) (sqrt (+ (* (+ b c) a) (* d a))))

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt`
30×	`sqrt-prod`
23×	`pow1`
18×	`*-un-lft-identity`
16×	`sqrt-div` `add-cube-cbrt`
11×	`associate-l`
10×	`sqrt-pow1` `pow1/2` `associate-r`
9×	`flip3-+` `swap-sqr` `flip-+`
8×	`add-cbrt-cube` `add-exp-log`
6×	`distribute-rgt-out`
5×	`pow-prod-up` `unswap-sqr`
4×	`frac-times` `pow-prod-down` `associate-*l/` `insert-posit16` `add-log-exp`
3×	`pow-sqr`
2×	`rem-sqrt-square` `prod-exp` `associate-r/` `-commutative` `cbrt-unprod`
1×	`pow2` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `distribute-lft-out`

Counts

4 → 117

Calls

4 calls:

14.0ms	(* (+ b c) a)
11.0ms	(sqrt (+ (* (+ b c) a) (* d a)))
11.0ms	(sqrt (+ (* (+ b c) a) (* d a)))
59.0ms	(* (sqrt (+ (* (+ b c) a) (* d a))) (sqrt (+ (* (+ b c) a) (* d a))))

series211.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(* (+ b c) a)
75.0ms	(sqrt (+ (* (+ b c) a) (* d a)))
75.0ms	(sqrt (+ (* (+ b c) a) (* d a)))
32.0ms	(* (sqrt (+ (* (+ b c) a) (* d a))) (sqrt (+ (* (+ b c) a) (* d a))))

simplify948.0ms

Counts

129 → 129

Iterations

Iter	Nodes
3	3213
2	938
1	336
0	143

prune1.2s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes298.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
2	10
1	10
0	7

end0.0ms

sample1.2s

Algorithm

intervals

Results

494.0ms	8000×	pre	80	true
413.0ms	8000×	body	80	valid