Details

sample17.0ms

Algorithm

intervals

Results

8.0ms

350×

body

valid

simplify33.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	12	7
2	17	7
3	21	7
4	23	7
5	24	7
done	24	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite42.0ms

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:

40.0ms

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

series105.0ms

Counts

1 → 3

Calls

1 calls:

104.0ms

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

simplify3.0s

Counts

39 → 39

Iterations

Useful iterations: 4 (1.3s)

Iter	Nodes	Cost
0	80	467
1	181	451
2	425	419
3	1020	419
4	2786	418
done	5000	418

prune104.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (/ x 6.0) x)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
13×	`associate-l`
10×	`times-frac`
9×	`add-cube-cbrt` `*-un-lft-identity`
6×	`add-exp-log` `add-cbrt-cube`
3×	`pow1` `associate-r`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 34

Calls

1 calls:

17.0ms

(* (/ x 6.0) x)

series28.0ms

Counts

1 → 3

Calls

1 calls:

28.0ms

(* (/ x 6.0) x)

simplify6.3s

Counts

37 → 37

Iterations

Useful iterations: 4 (2.9s)

Iter	Nodes	Cost
0	65	273
1	149	268
2	370	228
3	899	228
4	2132	224
done	5000	224

prune94.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (- (* x x) 3.0) (/ 1 6.0))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`associate-r`
11×	`times-frac`
10×	`add-exp-log` `*-un-lft-identity`
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/` `flip--` `cbrt-unprod`
1×	`cbrt-undiv` `expm1-log1p-u` `rec-exp` `1-exp` `associate-r/` `pow-prod-down` `un-div-inv` `-commutative` `log1p-expm1-u` `div-inv` `add-log-exp` `difference-of-squares`

Counts

1 → 43

Calls

1 calls:

74.0ms

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

series95.0ms

Counts

1 → 3

Calls

1 calls:

95.0ms

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

simplify2.4s

Counts

46 → 46

Iterations

Useful iterations: 2 (184.0ms)

Iter	Nodes	Cost
0	103	592
1	253	486
2	713	408
3	2298	408
done	5002	408

prune82.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (/ x 6.0) x)
0.4b	(* (sqrt (* (/ x 6.0) x)) (sqrt (* (/ x 6.0) x)))
19.2b	(sqrt (* (/ x 6.0) x))
19.2b	(sqrt (* (/ x 6.0) x))

rewrite159.0ms

Algorithm

rewrite-expression-head

Rules

61×	`pow1`
32×	`sqrt-pow1`
23×	`add-sqr-sqrt` `pow-prod-down`
17×	`associate-l`
16×	`add-cube-cbrt` `*-un-lft-identity`
12×	`pow1/2`
11×	`add-exp-log` `add-cbrt-cube`
10×	`times-frac` `pow-prod-up`
8×	`associate-*l/`
7×	`associate-r`
6×	`sqrt-div` `sqrt-prod` `pow-sqr`
4×	`expm1-log1p-u` `swap-sqr` `log1p-expm1-u` `add-log-exp`
3×	`prod-exp` `cbrt-unprod` `unswap-sqr`
2×	`*-commutative`
1×	`cbrt-undiv` `pow2` `frac-times` `pow-plus` `sqrt-unprod` `associate-*r/` `div-exp` `rem-square-sqrt` `div-inv`

Counts

4 → 116

Calls

4 calls:

35.0ms	(* (/ x 6.0) x)
90.0ms	(* (sqrt (* (/ x 6.0) x)) (sqrt (* (/ x 6.0) x)))
14.0ms	(sqrt (* (/ x 6.0) x))
12.0ms	(sqrt (* (/ x 6.0) x))

series257.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* (/ x 6.0) x)
104.0ms	(* (sqrt (* (/ x 6.0) x)) (sqrt (* (/ x 6.0) x)))
45.0ms	(sqrt (* (/ x 6.0) x))
65.0ms	(sqrt (* (/ x 6.0) x))

simplify3.3s

Counts

128 → 128

Iterations

Useful iterations: done (3.3s)

Iter	Nodes	Cost
0	118	1192
1	234	866
2	669	761
3	2640	731
done	5001	725

prune405.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes97.0ms

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	6	7
done	6	7

end0.0ms

sample720.0ms

Algorithm

intervals

Results

417.0ms

10703×

body

valid