Details

sample24.0ms

Algorithm

intervals

Results

9.0ms

341×

body

valid

simplify34.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	46
4	46
3	39
2	23
1	10
0	6

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 1 expressions with local error:

0.1b	(* x (- 1.0 (* x y)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 24

Calls

1 calls:

34.0ms

(* x (- 1.0 (* x y)))

series73.0ms

Counts

1 → 3

Calls

1 calls:

73.0ms

(* x (- 1.0 (* x y)))

simplify2.5s

Counts

27 → 27

Iterations

Iter	Nodes
done	5000
3	4580
2	569
1	133
0	51

prune149.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (- 1.0 (* x y)) x)) (cbrt (* (- 1.0 (* x y)) x)))
0.6b	(cbrt (* (- 1.0 (* x y)) x))
0.6b	(cbrt (* (- 1.0 (* x y)) x))
0.6b	(cbrt (* (- 1.0 (* x y)) x))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*l/`
18×	`cbrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`flip3--` `pow1/3` `flip--`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `swap-sqr` `associate-r` `associate-l` `add-log-exp`
2×	`pow-prod-down` `associate-*r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

32.0ms	(* (cbrt (* (- 1.0 (* x y)) x)) (cbrt (* (- 1.0 (* x y)) x)))
6.0ms	(cbrt (* (- 1.0 (* x y)) x))
9.0ms	(cbrt (* (- 1.0 (* x y)) x))
11.0ms	(cbrt (* (- 1.0 (* x y)) x))

series1.6s

Counts

4 → 12

Calls

4 calls:

404.0ms	(* (cbrt (* (- 1.0 (* x y)) x)) (cbrt (* (- 1.0 (* x y)) x)))
419.0ms	(cbrt (* (- 1.0 (* x y)) x))
371.0ms	(cbrt (* (- 1.0 (* x y)) x))
427.0ms	(cbrt (* (- 1.0 (* x y)) x))

simplify970.0ms

Counts

84 → 84

Iterations

Iter	Nodes
done	5000
2	1995
1	453
0	163

prune504.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x 1.0) (* (* x x) (- y)))
8.7b	(* (* x x) (- y))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 40

Calls

2 calls:

6.0ms	(+ (* x 1.0) (* (* x x) (- y)))
19.0ms	(* (* x x) (- y))

series104.0ms

Counts

2 → 6

Calls

2 calls:

63.0ms	(+ (* x 1.0) (* (* x x) (- y)))
41.0ms	(* (* x x) (- y))

simplify1.2s

Counts

46 → 46

Iterations

Iter	Nodes
done	5001
2	1634
1	249
0	77

prune160.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x (* x (- y)))
0.2b	(* x (* x (- y)))
17.7b	(sqrt (* x (* x (- y))))
17.7b	(sqrt (* x (* x (- y))))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

26×	`pow1`
14×	`add-cbrt-cube` `add-exp-log`
12×	`pow-prod-down`
6×	`add-sqr-sqrt` `-un-lft-identity` `sqrt-pow1` `associate-l*` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
4×	`distribute-rgt-neg-out` `add-log-exp`
2×	`pow1/2` `associate-r` `*-commutative` `sqrt-prod`

Counts

4 → 62

Calls

4 calls:

15.0ms	(* x (* x (- y)))
18.0ms	(* x (* x (- y)))
10.0ms	(sqrt (* x (* x (- y))))
15.0ms	(sqrt (* x (* x (- y))))

series158.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* x (* x (- y)))
26.0ms	(* x (* x (- y)))
61.0ms	(sqrt (* x (* x (- y))))
48.0ms	(sqrt (* x (* x (- y))))

simplify678.0ms

Counts

74 → 74

Iterations

Iter	Nodes
done	5000
2	1122
1	194
0	72

prune356.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes141.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	8
1	8
0	6

end0.0ms

sample806.0ms

Algorithm

intervals

Results

440.0ms

10623×

body

valid