Details

sample59.0ms

Algorithm

intervals

Results

20.0ms	256×	body	80	valid
19.0ms	256×	pre	80	true

simplify58.0ms

Counts: 1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 1 expressions with local error:

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

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

8×	`*-un-lft-identity`
5×	`add-sqr-sqrt` `associate-r`
3×	`pow1` `add-cbrt-cube` `associate-l` `add-exp-log` `add-cube-cbrt` `distribute-lft-out`
2×	`associate-*r/`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `insert-posit16` `add-log-exp` `unswap-sqr`

Counts

1 → 25

Calls

1 calls:

Slowest

76.0ms

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

series36.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

36.0ms

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

simplify724.0ms

Counts: 28 → 28

prune215.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`pow1` `add-cbrt-cube` `associate-l` `add-exp-log` `add-cube-cbrt` `add-log-exp`
3×	`associate-r`
2×	`flip3-+` `associate-*l/` `flip-+` `insert-posit16`
1×	`+-commutative` `sum-log` `distribute-rgt-out` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

2 → 35

Calls

2 calls:

Slowest

20.0ms	(* (+ b c) a)
19.0ms	(+ (* (+ b c) a) (* d a))

series70.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

38.0ms	(+ (* (+ b c) a) (* d a))
33.0ms	(* (+ b c) a)

simplify715.0ms

Counts: 41 → 41

prune342.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (sqrt (+ b c)) (* (sqrt (+ b c)) a))
0.2b	(* (sqrt (+ b c)) a)
0.0b	(+ (* (sqrt (+ b c)) (* (sqrt (+ b c)) a)) (* d a))
0.0b	(sqrt (+ b c))

rewrite118.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity` `sqrt-div`
15×	`add-sqr-sqrt`
14×	`associate-l`
13×	`sqrt-prod`
12×	`pow1`
11×	`add-cbrt-cube` `add-exp-log`
10×	`associate-*l/` `add-cube-cbrt`
9×	`flip3-+` `flip-+`
6×	`add-log-exp`
4×	`frac-times` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16`
3×	`distribute-lft-out`
2×	`associate-r/` `-commutative` `unswap-sqr`
1×	`+-commutative` `rem-sqrt-square` `sum-log` `sqrt-pow1` `pow1/2`

Counts

4 → 86

Calls

4 calls:

Slowest

54.0ms	(* (sqrt (+ b c)) (* (sqrt (+ b c)) a))
44.0ms	(+ (* (sqrt (+ b c)) (* (sqrt (+ b c)) a)) (* d a))
14.0ms	(* (sqrt (+ b c)) a)
4.0ms	(sqrt (+ b c))

series223.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

69.0ms	(* (sqrt (+ b c)) a)
64.0ms	(+ (* (sqrt (+ b c)) (* (sqrt (+ b c)) a)) (* d a))
53.0ms	(* (sqrt (+ b c)) (* (sqrt (+ b c)) a))
36.0ms	(sqrt (+ b c))

simplify1.2s

Counts: 98 → 98

prune902.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

18.5b	(/ (* a (+ (* (* (+ b c) (+ b c)) (+ b c)) (* d (* d d)))) (+ (* (+ b c) (+ b c)) (- (* d d) (* (+ b c) d))))
0.5b	(* a (+ (* (* (+ b c) (+ b c)) (+ b c)) (* d (* d d))))
0.2b	(* (* (+ b c) (+ b c)) (+ b c))
0.1b	(* d (* d d))

rewrite351.0ms

Algorithm

rewrite-expression-head

Rules

42×	`flip3-+` `flip-+`
39×	`pow1`
36×	`frac-times`
21×	`add-cbrt-cube` `add-exp-log`
18×	`associate-*l/` `associate-/r/`
16×	`frac-add` `associate-*r/`
14×	`add-sqr-sqrt`
12×	`*-un-lft-identity`
11×	`pow-prod-up`
10×	`add-cube-cbrt`
9×	`associate-r`
8×	`flip3--` `prod-exp` `cbrt-unprod` `flip--`
7×	`pow-plus` `associate-l` `pow-prod-down`
4×	`insert-posit16` `add-log-exp`
3×	`pow2` `associate-/r` `times-frac` `pow-sqr` `-commutative` `unswap-sqr`
2×	`distribute-rgt-in` `cbrt-undiv` `distribute-lft-in` `cube-unmult` `div-exp` `pow3` `associate-/l/`
1×	`clear-num` `frac-2neg` `sum-cubes` `div-inv` `distribute-lft-out` `associate-/l*`

Counts

4 → 149

Calls

4 calls:

Slowest

185.0ms	(* a (+ (* (* (+ b c) (+ b c)) (+ b c)) (* d (* d d))))
88.0ms	(/ (* a (+ (* (* (+ b c) (+ b c)) (+ b c)) (* d (* d d)))) (+ (* (+ b c) (+ b c)) (- (* d d) (* (+ b c) d))))
64.0ms	(* (* (+ b c) (+ b c)) (+ b c))
13.0ms	(* d (* d d))

series740.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

396.0ms	(* a (+ (* (* (+ b c) (+ b c)) (+ b c)) (* d (* d d))))
261.0ms	(/ (* a (+ (* (* (+ b c) (+ b c)) (+ b c)) (* d (* d d)))) (+ (* (+ b c) (+ b c)) (- (* d d) (* (+ b c) d))))
52.0ms	(* d (* d d))
31.0ms	(* (* (+ b c) (+ b c)) (+ b c))

simplify2.0s

Counts: 161 → 161

prune1.7s

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes259.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample1.5s

Algorithm

intervals

Results

557.0ms	8000×	pre	80	true
416.0ms	8000×	body	80	valid