Details

sample32.0ms

Algorithm

intervals

Results

10.0ms	256×	pre	80	true
6.0ms	256×	body	80	valid

simplify4.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite83.0ms

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:

82.0ms

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

series30.0ms

Counts

1 → 3

Calls

1 calls:

30.0ms

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

simplify90.0ms

Counts: 27 → 27

prune48.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 37

Calls

2 calls:

20.0ms	(* a (+ b c))
18.0ms	(+ (* a (+ b c)) (* a d))

series69.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(* a (+ b c))
37.0ms	(+ (* a (+ b c)) (* a d))

simplify31.0ms

Counts: 43 → 43

prune82.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ (+ b c) d))
0.4b	(* (sqrt a) (sqrt (+ (+ b c) d)))
0.4b	(* (sqrt a) (sqrt (+ (+ b c) d)))
0.6b	(* (* (sqrt a) (sqrt (+ (+ b c) d))) (* (sqrt a) (sqrt (+ (+ b c) d))))

rewrite364.0ms

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-exp-log` `add-cbrt-cube`
18×	`sqrt-div` `associate-*r/`
17×	`associate-r`
13×	`add-cube-cbrt` `associate-l`
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` `swap-sqr` `rem-square-sqrt`

Counts

4 → 137

Calls

4 calls:

32.0ms	(sqrt (+ (+ b c) d))
76.0ms	(* (sqrt a) (sqrt (+ (+ b c) d)))
76.0ms	(* (sqrt a) (sqrt (+ (+ b c) d)))
173.0ms	(* (* (sqrt a) (sqrt (+ (+ b c) d))) (* (sqrt a) (sqrt (+ (+ b c) d))))

series497.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(sqrt (+ (+ b c) d))
191.0ms	(* (sqrt a) (sqrt (+ (+ b c) d)))
188.0ms	(* (sqrt a) (sqrt (+ (+ b c) d)))
60.0ms	(* (* (sqrt a) (sqrt (+ (+ b c) d))) (* (sqrt a) (sqrt (+ (+ b c) d))))

simplify57.0ms

Counts: 149 → 149

prune291.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* (+ b c) (+ b c)) (* d d))
0.0b	(* (+ b c) (+ b c))
0.6b	(* a (- (* (+ b c) (+ b c)) (* d d)))
6.9b	(/ (* a (- (* (+ b c) (+ b c)) (* d d))) (- (+ b c) d))

rewrite207.0ms

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:

21.0ms	(- (* (+ b c) (+ b c)) (* d d))
34.0ms	(* (+ b c) (+ b c))
72.0ms	(* a (- (* (+ b c) (+ b c)) (* d d)))
75.0ms	(/ (* a (- (* (+ b c) (+ b c)) (* d d))) (- (+ b c) d))

series347.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(- (* (+ b c) (+ b c)) (* d d))
15.0ms	(* (+ b c) (+ b c))
143.0ms	(* a (- (* (+ b c) (+ b c)) (* d d)))
126.0ms	(/ (* a (- (* (+ b c) (+ b c)) (* d d))) (- (+ b c) d))

simplify80.0ms

Counts: 127 → 127

prune243.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes112.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.1s

Algorithm

intervals

Results

511.0ms	8000×	pre	80	true
241.0ms	8000×	body	80	valid