Details

sample38.0ms

Algorithm

intervals

Results

27.0ms

332×

body

valid

simplify30.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	21
4	21
3	20
2	16
1	11
0	6

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 1 expressions with local error:

0.1b	(/ (- (* x x) 3.0) 6.0)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
12×	`times-frac`
10×	`*-un-lft-identity` `add-cube-cbrt`
4×	`associate-/l*` `difference-of-squares`
3×	`associate-/r*` `add-cbrt-cube` `add-exp-log`
2×	`associate-/l/`
1×	`pow1` `cbrt-undiv` `clear-num` `frac-2neg` `flip3--` `div-sub` `div-exp` `insert-posit16` `div-inv` `flip--` `add-log-exp`

Counts

1 → 35

Calls

1 calls:

23.0ms

(/ (- (* x x) 3.0) 6.0)

series109.0ms

Counts

1 → 3

Calls

1 calls:

109.0ms

(/ (- (* x x) 3.0) 6.0)

simplify2.3s

Counts

38 → 38

Iterations

Iter	Nodes
done	5000
3	4070
2	636
1	183
0	79

prune151.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 1 expressions with local error:

0.1b	(* (- (* x x) 3.0) (/ 1 6.0))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`associate-r`
11×	`times-frac`
10×	`*-un-lft-identity` `add-exp-log`
9×	`add-cube-cbrt`
6×	`add-cbrt-cube`
4×	`associate-l` `prod-exp`
3×	`pow1` `unswap-sqr`
2×	`frac-times` `flip3--` `div-exp` `associate-*l/` `cbrt-unprod` `flip--`
1×	`cbrt-undiv` `rec-exp` `1-exp` `pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `insert-posit16` `div-inv` `add-log-exp` `difference-of-squares`

Counts

1 → 42

Calls

1 calls:

26.0ms

(* (- (* x x) 3.0) (/ 1 6.0))

series123.0ms

Counts

1 → 3

Calls

1 calls:

123.0ms

(* (- (* x x) 3.0) (/ 1 6.0))

simplify2.3s

Counts

45 → 45

Iterations

Iter	Nodes
done	5000
2	1974
1	274
0	102

prune159.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* (* 0.16666666666666666 x) x) 0.5)
0.1b	(* (* 0.16666666666666666 x) x)

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-cbrt-cube` `add-exp-log`
4×	`add-log-exp`
3×	`add-sqr-sqrt` `-un-lft-identity` `associate-r*` `pow-prod-down` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
2×	`insert-posit16`
1×	`sub-neg` `flip3--` `diff-log` `associate-l` `*-commutative` `flip--`

Counts

2 → 32

Calls

2 calls:

28.0ms	(- (* (* 0.16666666666666666 x) x) 0.5)
13.0ms	(* (* 0.16666666666666666 x) x)

series149.0ms

Counts

2 → 6

Calls

2 calls:

106.0ms	(- (* (* 0.16666666666666666 x) x) 0.5)
43.0ms	(* (* 0.16666666666666666 x) x)

simplify971.0ms

Counts

38 → 38

Iterations

Iter	Nodes
done	5001
2	873
1	152
0	61

prune135.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* (* 0.16666666666666666 x) x)) (cbrt (* (* 0.16666666666666666 x) x)))
19.9b	(cbrt (* (* 0.16666666666666666 x) x))
19.9b	(cbrt (* (* 0.16666666666666666 x) x))
19.9b	(cbrt (* (* 0.16666666666666666 x) x))

rewrite100.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`add-cbrt-cube` `swap-sqr` `associate-r` `associate-l` `insert-posit16` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 62

Calls

4 calls:

48.0ms	(* (cbrt (* (* 0.16666666666666666 x) x)) (cbrt (* (* 0.16666666666666666 x) x)))
16.0ms	(cbrt (* (* 0.16666666666666666 x) x))
17.0ms	(cbrt (* (* 0.16666666666666666 x) x))
17.0ms	(cbrt (* (* 0.16666666666666666 x) x))

series1.4s

Counts

4 → 12

Calls

4 calls:

429.0ms	(* (cbrt (* (* 0.16666666666666666 x) x)) (cbrt (* (* 0.16666666666666666 x) x)))
289.0ms	(cbrt (* (* 0.16666666666666666 x) x))
319.0ms	(cbrt (* (* 0.16666666666666666 x) x))
325.0ms	(cbrt (* (* 0.16666666666666666 x) x))

simplify871.0ms

Counts

74 → 74

Iterations

Iter	Nodes
done	5000
2	569
1	128
0	53

prune219.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes122.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	11
1	11
0	8

end0.0ms

sample868.0ms

Algorithm

intervals

Results

732.0ms

10712×

body

valid