Details

sample12.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify11.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	9
1	13	9
2	16	9
3	18	9
4	20	9
5	21	9
done	21	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
0.1b	(* (/ 841.0 108.0) x)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`associate-l`
10×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
7×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `add-log-exp`
3×	`associate-r`
2×	`associate-*l/` `prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `flip3-+` `div-exp` `pow-prod-down` `frac-add` `sum-log` `*-commutative` `flip-+` `div-inv`

Counts

2 → 44

Calls

2 calls:

7.0ms	(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
8.0ms	(* (/ 841.0 108.0) x)

series53.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
15.0ms	(* (/ 841.0 108.0) x)

simplify1.0s

Counts

50 → 50

Iterations

Useful iterations: 3 (355.0ms)

Iter	Nodes	Cost
0	97	463
1	242	443
2	692	403
3	2171	401
done	5001	401

prune95.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* 841.0 (/ x 108.0)) (/ 4.0 29.0))
0.3b	(* 841.0 (/ x 108.0))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`associate-r`
10×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
7×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `add-log-exp`
3×	`associate-l`
2×	`associate-*r/` `prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `flip3-+` `div-exp` `pow-prod-down` `frac-add` `sum-log` `*-commutative` `flip-+` `div-inv`

Counts

2 → 44

Calls

2 calls:

7.0ms	(+ (* 841.0 (/ x 108.0)) (/ 4.0 29.0))
7.0ms	(* 841.0 (/ x 108.0))

series52.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(+ (* 841.0 (/ x 108.0)) (/ 4.0 29.0))
14.0ms	(* 841.0 (/ x 108.0))

simplify923.0ms

Counts

50 → 50

Iterations

Useful iterations: 3 (258.0ms)

Iter	Nodes	Cost
0	99	479
1	255	447
2	680	409
3	2052	407
done	5000	407

prune108.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (sqrt 841.0) (* (sqrt 841.0) (/ x 108.0))) (/ 4.0 29.0))
0.3b	(* (sqrt 841.0) (/ x 108.0))
0.3b	(* (sqrt 841.0) (* (sqrt 841.0) (/ x 108.0)))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
17×	`add-exp-log` `add-cbrt-cube`
14×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
12×	`associate-l`
11×	`times-frac`
10×	`pow1`
8×	`sqrt-prod`
7×	`prod-exp` `cbrt-unprod`
5×	`associate-*r/` `add-log-exp`
4×	`pow-prod-down` `unswap-sqr`
2×	`cbrt-undiv` `div-exp` `*-commutative`
1×	`+-commutative` `flip3-+` `frac-add` `sum-log` `flip-+` `div-inv`

Counts

3 → 73

Calls

3 calls:

18.0ms	(+ (* (sqrt 841.0) (* (sqrt 841.0) (/ x 108.0))) (/ 4.0 29.0))
10.0ms	(* (sqrt 841.0) (/ x 108.0))
15.0ms	(* (sqrt 841.0) (* (sqrt 841.0) (/ x 108.0)))

series263.0ms

Counts

3 → 9

Calls

3 calls:

120.0ms	(+ (* (sqrt 841.0) (* (sqrt 841.0) (/ x 108.0))) (/ 4.0 29.0))
52.0ms	(* (sqrt 841.0) (/ x 108.0))
90.0ms	(* (sqrt 841.0) (* (sqrt 841.0) (/ x 108.0)))

simplify3.2s

Counts

82 → 82

Iterations

Useful iterations: 3 (1.9s)

Iter	Nodes	Cost
0	125	1008
1	333	764
2	1123	680
3	4950	678
done	5000	678

prune144.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* 108.0 4.0) (* 29.0 (* x 841.0)))
0.3b	(* 29.0 (* x 841.0))
0.6b	(/ (+ (* 108.0 4.0) (* 29.0 (* x 841.0))) (* 108.0 29.0))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-exp-log` `add-cbrt-cube`
8×	`pow1`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`add-log-exp`
4×	`prod-exp` `cbrt-unprod`
3×	`times-frac` `associate-l` `pow-prod-down` `associate-/l*`
2×	`cbrt-undiv` `flip3-+` `div-exp` `flip-+` `associate-/l/`
1×	`+-commutative` `frac-2neg` `associate-r` `clear-num` `associate-/r` `sum-log` `-commutative` `div-inv`

Counts

3 → 52

Calls

3 calls:

3.0ms	(+ (* 108.0 4.0) (* 29.0 (* x 841.0)))
6.0ms	(* 29.0 (* x 841.0))
9.0ms	(/ (+ (* 108.0 4.0) (* 29.0 (* x 841.0))) (* 108.0 29.0))

series101.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(+ (* 108.0 4.0) (* 29.0 (* x 841.0)))
14.0ms	(* 29.0 (* x 841.0))
54.0ms	(/ (+ (* 108.0 4.0) (* 29.0 (* x 841.0))) (* 108.0 29.0))

simplify1.4s

Counts

61 → 61

Iterations

Useful iterations: 2 (85.0ms)

Iter	Nodes	Cost
0	103	815
1	284	786
2	997	670
3	3939	670
done	5000	670

prune100.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes39.0ms

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	9	9
1	11	9
done	11	9

end0.0ms

sample254.0ms

Algorithm

intervals

Results

164.0ms	8008×	body	80	valid
0.0ms	4×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid