Details

sample33.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
7.0ms	256×	pre	80	true

simplify38.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite96.0ms

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:

95.0ms

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

series43.0ms

Counts

1 → 3

Calls

1 calls:

43.0ms

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

simplify1.4s

Counts: 27 → 27

prune68.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite47.0ms

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:

26.0ms	(* a (+ b c))
20.0ms	(+ (* a (+ b c)) (* a d))

series78.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(* a (+ b c))
37.0ms	(+ (* a (+ b c)) (* a d))

simplify489.0ms

Counts: 43 → 43

prune116.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite129.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 69

Calls

3 calls:

46.0ms	(+ (* (sqrt a) (* (sqrt a) (+ b c))) (* a d))
31.0ms	(* (sqrt a) (+ b c))
50.0ms	(* (sqrt a) (* (sqrt a) (+ b c)))

series287.0ms

Counts

3 → 9

Calls

3 calls:

114.0ms	(+ (* (sqrt a) (* (sqrt a) (+ b c))) (* a d))
105.0ms	(* (sqrt a) (+ b c))
68.0ms	(* (sqrt a) (* (sqrt a) (+ b c)))

simplify670.0ms

Counts: 78 → 78

prune222.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

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))

rewrite229.0ms

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:

36.0ms	(- (* (+ b c) (+ b c)) (* d d))
35.0ms	(* (+ b c) (+ b c))
74.0ms	(* a (- (* (+ b c) (+ b c)) (* d d)))
80.0ms	(/ (* a (- (* (+ b c) (+ b c)) (* d d))) (- (+ b c) d))

series436.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(- (* (+ b c) (+ b c)) (* d d))
16.0ms	(* (+ b c) (+ b c))
194.0ms	(* a (- (* (+ b c) (+ b c)) (* d d)))
153.0ms	(/ (* a (- (* (+ b c) (+ b c)) (* d d))) (- (+ b c) d))

simplify1.4s

Counts: 127 → 127

prune332.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes175.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify40.0ms

end0.0ms

sample963.0ms

Algorithm

intervals

Results

304.0ms	8000×	pre	80	true
271.0ms	8000×	body	80	valid