Details

sample60.0ms

Algorithm

intervals

Results

22.0ms	256×	pre	80	true
18.0ms	256×	body	80	valid

simplify52.0ms

Counts

1 → 1

Iterations

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

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 1 expressions with local error:

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

rewrite60.0ms

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:

60.0ms

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

series44.0ms

Counts

1 → 3

Calls

1 calls:

44.0ms

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

simplify939.0ms

Counts

28 → 28

Iterations

Iter	Nodes
3	3158
2	563
1	148
0	53

prune247.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize22.0ms

Local error

Found 2 expressions with local error:

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

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 39

Calls

2 calls:

11.0ms	(+ (* a (+ b c)) (* a d))
16.0ms	(* a (+ b c))

series78.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(+ (* a (+ b c)) (* a d))
33.0ms	(* a (+ b c))

simplify1.5s

Counts

45 → 45

Iterations

Iter	Nodes
3	3454
2	744
1	214
0	74

prune511.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ (+ b c) d))
0.0b	(sqrt (+ (+ b c) d))
0.2b	(* a (sqrt (+ (+ b c) d)))
0.3b	(* (* a (sqrt (+ (+ b c) d))) (sqrt (+ (+ b c) d)))

rewrite217.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 95

Calls

4 calls:

22.0ms	(sqrt (+ (+ b c) d))
27.0ms	(sqrt (+ (+ b c) d))
51.0ms	(* a (sqrt (+ (+ b c) d)))
114.0ms	(* (* a (sqrt (+ (+ b c) d))) (sqrt (+ (+ b c) d)))

series345.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(sqrt (+ (+ b c) d))
65.0ms	(sqrt (+ (+ b c) d))
106.0ms	(* a (sqrt (+ (+ b c) d)))
94.0ms	(* (* a (sqrt (+ (+ b c) d))) (sqrt (+ (+ b c) d)))

simplify1.7s

Counts

107 → 107

Iterations

Iter	Nodes
3	4254
2	1035
1	357
0	138

prune995.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* (+ b c) (+ b c)) (* d d))
0.0b	(* (+ b c) (+ b c))
0.3b	(* a (- (* (+ b c) (+ b c)) (* d d)))
8.1b	(/ (* a (- (* (+ b c) (+ b c)) (* d d))) (- (+ b c) d))

rewrite181.0ms

Algorithm

rewrite-expression-head

Rules

36×	`*-un-lft-identity`
20×	`add-sqr-sqrt`
13×	`pow1` `add-cbrt-cube` `add-exp-log`
12×	`add-cube-cbrt`
8×	`distribute-rgt-in` `distribute-lft-in` `associate-r` `distribute-lft-out`
7×	`associate-l`
6×	`associate-/r` `flip3-+` `times-frac` `swap-sqr` `associate--l+` `associate-r/` `flip-+` `add-log-exp`
4×	`frac-times` `flip3--` `insert-posit16` `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` `unswap-sqr` `associate-/l/`
1×	`pow2` `clear-num` `frac-2neg` `pow-plus` `diff-log` `pow-sqr` `pow-prod-up` `div-inv` `associate-/l*`

Counts

4 → 119

Calls

4 calls:

28.0ms	(- (* (+ b c) (+ b c)) (* d d))
25.0ms	(* (+ b c) (+ b c))
65.0ms	(* a (- (* (+ b c) (+ b c)) (* d d)))
60.0ms	(/ (* a (- (* (+ b c) (+ b c)) (* d d))) (- (+ b c) d))

series484.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(- (* (+ b c) (+ b c)) (* d d))
24.0ms	(* (+ b c) (+ b c))
179.0ms	(* a (- (* (+ b c) (+ b c)) (* d d)))
180.0ms	(/ (* a (- (* (+ b c) (+ b c)) (* d d))) (- (+ b c) d))

simplify733.0ms

Counts

131 → 131

Iterations

Iter	Nodes
2	2315
1	561
0	189

prune1.2s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes248.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
2	12
1	12
0	8

end0.0ms

sample1.4s

Algorithm

intervals

Results

564.0ms	8000×	pre	80	true
502.0ms	8000×	body	80	valid