Details

sample54.0ms

Algorithm

intervals

Results

15.0ms	256×	body	80	valid
12.0ms	256×	pre	80	true

simplify66.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite163.0ms

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

Counts

2 → 39

Calls

2 calls:

39.0ms	(+ (+ b c) d)
122.0ms	(* a (+ (+ b c) d))

series75.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(+ (+ b c) d)
47.0ms	(* a (+ (+ b c) d))

simplify515.0ms

Counts: 45 → 45

prune76.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite257.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 70

Calls

3 calls:

41.0ms	(+ (+ b c) d)
100.0ms	(* (sqrt a) (+ (+ b c) d))
112.0ms	(* (sqrt a) (* (sqrt a) (+ (+ b c) d)))

series253.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(+ (+ b c) d)
131.0ms	(* (sqrt a) (+ (+ b c) d))
87.0ms	(* (sqrt a) (* (sqrt a) (+ (+ b c) d)))

simplify726.0ms

Counts: 79 → 79

prune180.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize23.0ms

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)))
6.1b	(/ (* a (- (* (+ b c) (+ b c)) (* d d))) (- (+ b c) d))

rewrite293.0ms

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:

33.0ms	(- (* (+ b c) (+ b c)) (* d d))
62.0ms	(* (+ b c) (+ b c))
102.0ms	(* a (- (* (+ b c) (+ b c)) (* d d)))
87.0ms	(/ (* a (- (* (+ b c) (+ b c)) (* d d))) (- (+ b c) d))

series431.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(- (* (+ b c) (+ b c)) (* d d))
16.0ms	(* (+ b c) (+ b c))
161.0ms	(* a (- (* (+ b c) (+ b c)) (* d d)))
160.0ms	(/ (* a (- (* (+ b c) (+ b c)) (* d d))) (- (+ b c) d))

simplify1.3s

Counts: 127 → 127

prune279.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ b c) (+ b c))
0.3b	(/ 1 (/ (- (+ b c) d) (* a (- (* (+ b c) (+ b c)) (* d d)))))
0.6b	(* a (- (* (+ b c) (+ b c)) (* d d)))
6.1b	(/ (- (+ b c) d) (* a (- (* (+ b c) (+ b c)) (* d d))))

rewrite759.0ms

Algorithm

rewrite-expression-head

Rules

77×	`*-un-lft-identity`
66×	`times-frac`
49×	`add-sqr-sqrt`
34×	`add-exp-log`
33×	`add-cube-cbrt`
22×	`add-cbrt-cube`
14×	`pow1` `associate-*r/` `div-exp`
13×	`associate-/r*`
12×	`distribute-lft-out` `distribute-lft-out--`
11×	`associate-/r/`
9×	`associate-/l*`
8×	`associate-r`
7×	`cbrt-undiv` `distribute-rgt-in` `flip3--` `distribute-lft-in` `associate-l` `flip--` `difference-of-squares`
6×	`flip3-+` `swap-sqr` `prod-exp` `flip-+` `div-inv`
4×	`frac-times` `associate--l+` `cbrt-unprod` `add-log-exp`
3×	`rec-exp` `1-exp`
2×	`sub-neg` `frac-2neg` `pow-prod-down` `associate-l/` `clear-num` `-commutative` `associate-/l/` `unswap-sqr`
1×	`pow2` `pow-flip` `pow-plus` `div-sub` `pow-sqr` `pow-prod-up` `inv-pow`

Counts

4 → 177

Calls

4 calls:

64.0ms	(* (+ b c) (+ b c))
139.0ms	(/ 1 (/ (- (+ b c) d) (* a (- (* (+ b c) (+ b c)) (* d d)))))
89.0ms	(* a (- (* (+ b c) (+ b c)) (* d d)))
450.0ms	(/ (- (+ b c) d) (* a (- (* (+ b c) (+ b c)) (* d d))))

series639.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(* (+ b c) (+ b c))
104.0ms	(/ 1 (/ (- (+ b c) d) (* a (- (* (+ b c) (+ b c)) (* d d)))))
195.0ms	(* a (- (* (+ b c) (+ b c)) (* d d)))
321.0ms	(/ (- (+ b c) d) (* a (- (* (+ b c) (+ b c)) (* d d))))

simplify1.8s

Counts: 189 → 189

prune491.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes219.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify53.0ms

end0.0ms

sample1.1s

Algorithm

intervals

Results

347.0ms	8000×	pre	80	true
323.0ms	8000×	body	80	valid