Details

sample14.0ms

Algorithm

intervals

Results

6.0ms

362×

body

valid

simplify9.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	3
1	17	3
2	21	3
3	23	3
4	24	3
5	24	3
done	24	3

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize4.0ms

Local error

Found 1 expressions with local error:

0.3b	(/ (- (* x x) 3.0) 6.0)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
12×	`times-frac`
10×	`add-cube-cbrt` `*-un-lft-identity`
4×	`associate-/l*` `difference-of-squares`
3×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
2×	`associate-/l/`
1×	`pow1` `cbrt-undiv` `expm1-log1p-u` `flip3--` `frac-2neg` `div-sub` `div-exp` `clear-num` `flip--` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 36

Calls

1 calls:

21.0ms

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

series70.0ms

Counts

1 → 3

Calls

1 calls:

70.0ms

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

simplify68.0ms

Counts

39 → 39

Iterations

Useful iterations: 3 (64.0ms)

Iter	Nodes	Cost
0	182	228
1	585	214
2	2311	212
3	5001	211
done	5001	211

prune71.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* 0.16666666666666666 (pow x 2)) 0.5)
0.4b	(* 0.16666666666666666 (pow x 2))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
8×	`associate-r`
7×	`add-exp-log`
6×	`add-cube-cbrt` `*-un-lft-identity`
4×	`unpow-prod-down` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
3×	`associate-l` `prod-diff` `prod-exp`
2×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `unpow2` `sqr-pow`
1×	`pow-to-exp` `sub-neg` `flip3--` `fma-neg` `diff-log` `pow-exp` `*-commutative` `flip--` `cbrt-unprod`

Counts

2 → 47

Calls

2 calls:

11.0ms	(- (* 0.16666666666666666 (pow x 2)) 0.5)
14.0ms	(* 0.16666666666666666 (pow x 2))

series86.0ms

Counts

2 → 6

Calls

2 calls:

60.0ms	(- (* 0.16666666666666666 (pow x 2)) 0.5)
26.0ms	(* 0.16666666666666666 (pow x 2))

simplify148.0ms

Counts

53 → 53

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	198	220
1	742	184
2	4216	180
3	5001	180
done	5001	180

prune86.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize4.0ms

Local error

Found 2 expressions with local error:

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

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
3×	`associate-r` `prod-diff` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `associate-l` `*-commutative` `flip--`

Counts

2 → 38

Calls

2 calls:

37.0ms	(- (* (* x 0.16666666666666666) x) 0.5)
18.0ms	(* (* x 0.16666666666666666) x)

series85.0ms

Counts

2 → 6

Calls

2 calls:

55.0ms	(- (* (* x 0.16666666666666666) x) 0.5)
30.0ms	(* (* x 0.16666666666666666) x)

simplify110.0ms

Counts

44 → 44

Iterations

Useful iterations: 3 (107.0ms)

Iter	Nodes	Cost
0	188	190
1	779	156
2	4403	152
3	5001	151
done	5001	151

prune61.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (sqrt 0.16666666666666666) (sqrt (pow x 2)))
0.3b	(* (* (sqrt 0.16666666666666666) (sqrt (pow x 2))) (* (sqrt 0.16666666666666666) (sqrt (pow x 2))))
21.3b	(sqrt (pow x 2))
21.3b	(sqrt (pow x 2))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

45×	`pow1`
40×	`sqrt-prod`
33×	`add-sqr-sqrt`
26×	`pow-prod-down`
18×	`add-exp-log` `add-cbrt-cube`
16×	`pow1/2`
13×	`add-cube-cbrt` `unpow-prod-down` `*-un-lft-identity`
12×	`associate-r`
10×	`unswap-sqr`
9×	`prod-exp` `cbrt-unprod`
8×	`rem-sqrt-square`
7×	`associate-l` `unpow2` `sqr-pow`
6×	`sqrt-unprod`
5×	`pow-sqr` `pow-prod-up`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`sqrt-pow1` `pow-plus` `*-commutative`
1×	`pow2` `swap-sqr` `rem-square-sqrt`

Counts

4 → 129

Calls

4 calls:

17.0ms	(* (sqrt 0.16666666666666666) (sqrt (pow x 2)))
60.0ms	(* (* (sqrt 0.16666666666666666) (sqrt (pow x 2))) (* (sqrt 0.16666666666666666) (sqrt (pow x 2))))
3.0ms	(sqrt (pow x 2))
3.0ms	(sqrt (pow x 2))

series131.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* (sqrt 0.16666666666666666) (sqrt (pow x 2)))
74.0ms	(* (* (sqrt 0.16666666666666666) (sqrt (pow x 2))) (* (sqrt 0.16666666666666666) (sqrt (pow x 2))))
8.0ms	(sqrt (pow x 2))
9.0ms	(sqrt (pow x 2))

simplify43.0ms

Counts

141 → 141

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	221	613
1	957	477
2	5002	471
done	5002	471

prune292.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes52.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	3
1	8	3
done	8	3

end0.0ms

sample332.0ms

Algorithm

intervals

Results

179.0ms

10717×

body

valid