Details

sample48.0ms

Algorithm

intervals

Results

11.0ms	256×	pre	80	true
10.0ms	256×	body	80	valid

simplify50.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	89
5	89
4	85
3	66
2	39
1	18
0	7

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite128.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 39

Calls

2 calls:

32.0ms	(+ (+ b c) d)
95.0ms	(* a (+ (+ b c) d))

series60.0ms

Counts

2 → 6

Calls

2 calls:

18.0ms	(+ (+ b c) d)
42.0ms	(* a (+ (+ b c) d))

simplify1.2s

Counts

45 → 45

Iterations

Iter	Nodes
done	5001
2	921
1	197
0	66

prune216.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 2 expressions with local error:

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

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-+` `distribute-lft-out`
1×	`+-commutative` `sum-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 37

Calls

2 calls:

16.0ms	(* a (+ b c))
10.0ms	(+ (* a (+ b c)) (* a d))

series87.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(* a (+ b c))
49.0ms	(+ (* a (+ b c)) (* a d))

simplify1.2s

Counts

43 → 43

Iterations

Iter	Nodes
done	5000
2	1006
1	230
0	72

prune218.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ (+ b c) d))
0.3b	(* (sqrt a) (sqrt (+ (+ b c) d)))
0.3b	(* (sqrt a) (sqrt (+ (+ b c) d)))
0.5b	(* (* (sqrt a) (sqrt (+ (+ b c) d))) (* (sqrt a) (sqrt (+ (+ b c) d))))

rewrite444.0ms

Algorithm

rewrite-expression-head

Rules

68×	`pow1`
41×	`pow-prod-down`
30×	`add-sqr-sqrt`
29×	`sqrt-prod`
28×	`*-un-lft-identity`
21×	`sqrt-pow1` `pow1/2`
20×	`add-cbrt-cube` `add-exp-log`
18×	`sqrt-div` `associate-*r/`
17×	`associate-r`
13×	`associate-l` `add-cube-cbrt`
10×	`prod-exp` `cbrt-unprod`
9×	`flip3-+` `flip-+` `distribute-lft-out`
8×	`pow-prod-up` `unswap-sqr`
7×	`sqrt-unprod`
6×	`pow-sqr`
4×	`frac-times` `add-log-exp`
3×	`*-commutative`
2×	`pow-plus` `associate-*l/`
1×	`pow2` `rem-sqrt-square` `rem-square-sqrt` `swap-sqr`

Counts

4 → 137

Calls

4 calls:

32.0ms	(sqrt (+ (+ b c) d))
110.0ms	(* (sqrt a) (sqrt (+ (+ b c) d)))
74.0ms	(* (sqrt a) (sqrt (+ (+ b c) d)))
224.0ms	(* (* (sqrt a) (sqrt (+ (+ b c) d))) (* (sqrt a) (sqrt (+ (+ b c) d))))

series555.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(sqrt (+ (+ b c) d))
228.0ms	(* (sqrt a) (sqrt (+ (+ b c) d)))
199.0ms	(* (sqrt a) (sqrt (+ (+ b c) d)))
68.0ms	(* (* (sqrt a) (sqrt (+ (+ b c) d))) (* (sqrt a) (sqrt (+ (+ b c) d))))

simplify1.6s

Counts

149 → 149

Iterations

Iter	Nodes
done	5000
2	1953
1	447
0	161

prune720.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* (+ b c) (+ b c)) (* d d))
0.0b	(* (+ b c) (+ b c))
0.4b	(* a (- (* (+ b c) (+ b c)) (* d d)))
6.8b	(/ (* a (- (* (+ b c) (+ b c)) (* d d))) (- (+ b c) d))

rewrite217.0ms

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--` `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 → 115

Calls

4 calls:

15.0ms	(- (* (+ b c) (+ b c)) (* d d))
27.0ms	(* (+ b c) (+ b c))
78.0ms	(* a (- (* (+ b c) (+ b c)) (* d d)))
93.0ms	(/ (* a (- (* (+ b c) (+ b c)) (* d d))) (- (+ b c) d))

series452.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(- (* (+ b c) (+ b c)) (* d d))
17.0ms	(* (+ b c) (+ b c))
187.0ms	(* a (- (* (+ b c) (+ b c)) (* d d)))
160.0ms	(/ (* a (- (* (+ b c) (+ b c)) (* d d))) (- (+ b c) d))

simplify2.4s

Counts

127 → 127

Iterations

Iter	Nodes
done	5000
2	4331
1	606
0	185

prune604.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes534.0ms

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
done	12
1	12
0	8

end0.0ms

sample1.5s

Algorithm

intervals

Results

287.0ms	8000×	pre	80	true
265.0ms	8000×	body	80	valid