Details

sample34.0ms

Algorithm

intervals

Results

8.0ms	256×	pre	80	true
7.0ms	256×	body	80	valid

simplify56.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 1 expressions with local error:

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

rewrite119.0ms

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:

118.0ms

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

series30.0ms

Counts

1 → 3

Calls

1 calls:

30.0ms

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

simplify1.3s

Counts: 27 → 27

prune72.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 33

Calls

2 calls:

26.0ms	(* (+ b c) a)
13.0ms	(+ (* (+ b c) a) (* d a))

series77.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(* (+ b c) a)
41.0ms	(+ (* (+ b c) a) (* d a))

simplify1.4s

Counts: 39 → 39

prune84.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (sqrt (* (+ b c) a)) (sqrt (* (+ b c) a))) (* d a))
0.1b	(sqrt (* (+ b c) a))
0.1b	(sqrt (* (+ b c) a))
0.5b	(* (sqrt (* (+ b c) a)) (sqrt (* (+ b c) a)))

rewrite163.0ms

Algorithm

rewrite-expression-head

Rules

59×	`pow1`
32×	`sqrt-pow1`
22×	`pow-prod-down`
18×	`associate-*l/`
16×	`sqrt-div`
12×	`pow1/2`
10×	`add-sqr-sqrt` `pow-prod-up`
9×	`flip3-+` `flip-+`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`add-exp-log` `sqrt-prod` `pow-sqr` `add-cbrt-cube` `add-log-exp`
4×	`frac-times` `swap-sqr` `associate-r` `associate-l`
2×	`associate-*r/`
1×	`+-commutative` `pow2` `pow-plus` `sqrt-unprod` `prod-exp` `sum-log` `rem-square-sqrt` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 94

Calls

4 calls:

60.0ms	(+ (* (sqrt (* (+ b c) a)) (sqrt (* (+ b c) a))) (* d a))
7.0ms	(sqrt (* (+ b c) a))
7.0ms	(sqrt (* (+ b c) a))
85.0ms	(* (sqrt (* (+ b c) a)) (sqrt (* (+ b c) a)))

series259.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(+ (* (sqrt (* (+ b c) a)) (sqrt (* (+ b c) a))) (* d a))
100.0ms	(sqrt (* (+ b c) a))
103.0ms	(sqrt (* (+ b c) a))
27.0ms	(* (sqrt (* (+ b c) a)) (sqrt (* (+ b c) a)))

simplify642.0ms

Counts: 106 → 106

prune319.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (* (+ b c) a))
0.5b	(* (sqrt (* (+ b c) a)) (cbrt (pow (sqrt (* (+ b c) a)) 3)))
0.7b	(pow (sqrt (* (+ b c) a)) 3)
4.8b	(cbrt (pow (sqrt (* (+ b c) a)) 3))

rewrite144.0ms

Algorithm

rewrite-expression-head

Rules

32×	`cbrt-prod`
24×	`add-sqr-sqrt`
20×	`associate-*l/`
18×	`sqrt-div`
17×	`associate-r`
15×	`add-cube-cbrt` `*-un-lft-identity`
13×	`pow1` `unpow-prod-down` `cube-prod`
10×	`cube-div`
9×	`flip3-+` `flip-+`
8×	`cbrt-div` `sqrt-prod`
7×	`add-exp-log`
6×	`add-cbrt-cube`
5×	`unswap-sqr`
4×	`frac-times` `pow-pow` `sqrt-pow1` `associate-l` `add-log-exp` `sqr-pow`
3×	`cube-mult` `pow-unpow` `unpow3` `pow-prod-down`
2×	`pow1/2` `associate-*r/`
1×	`pow-to-exp` `pow1/3` `pow-exp` `prod-exp` `*-commutative` `sqrt-pow2` `rem-cbrt-cube` `cbrt-unprod` `rem-cube-cbrt`

Counts

4 → 114

Calls

4 calls:

11.0ms	(sqrt (* (+ b c) a))
98.0ms	(* (sqrt (* (+ b c) a)) (cbrt (pow (sqrt (* (+ b c) a)) 3)))
16.0ms	(pow (sqrt (* (+ b c) a)) 3)
8.0ms	(cbrt (pow (sqrt (* (+ b c) a)) 3))

series446.0ms

Counts

4 → 12

Calls

4 calls:

121.0ms	(sqrt (* (+ b c) a))
31.0ms	(* (sqrt (* (+ b c) a)) (cbrt (pow (sqrt (* (+ b c) a)) 3)))
163.0ms	(pow (sqrt (* (+ b c) a)) 3)
131.0ms	(cbrt (pow (sqrt (* (+ b c) a)) 3))

simplify740.0ms

Counts: 126 → 126

prune328.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes147.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify36.0ms

end0.0ms

sample929.0ms

Algorithm

intervals

Results

292.0ms	8000×	pre	80	true
231.0ms	8000×	body	80	valid