Details

sample21.0ms

Algorithm

intervals

Results

10.0ms

256×

body

valid

simplify21.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	9
1	13	9
2	17	9
3	19	9
4	21	9
5	22	9
done	22	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (/ 841.0 108.0) x)

rewrite33.0ms

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` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `div-inv` `add-log-exp`

Counts

1 → 32

Calls

1 calls:

30.0ms

(* (/ 841.0 108.0) x)

series27.0ms

Counts

1 → 3

Calls

1 calls:

27.0ms

(* (/ 841.0 108.0) x)

simplify5.6s

Counts

35 → 35

Iterations

Useful iterations: 2 (142.0ms)

Iter	Nodes	Cost
0	68	255
1	153	250
2	417	218
3	1100	218
4	3103	218
done	5000	218

prune87.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.3b	(* 841.0 (/ x 108.0))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 32

Calls

1 calls:

15.0ms

(* 841.0 (/ x 108.0))

series26.0ms

Counts

1 → 3

Calls

1 calls:

26.0ms

(* 841.0 (/ x 108.0))

simplify3.7s

Counts

35 → 35

Iterations

Useful iterations: 2 (83.0ms)

Iter	Nodes	Cost
0	70	271
1	163	254
2	438	224
3	1140	224
4	2924	224
done	5001	224

prune93.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.2b	(/ x (sqrt 108.0))
0.2b	(* (/ 841.0 (sqrt 108.0)) (/ x (sqrt 108.0)))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

73×	`add-sqr-sqrt`
66×	`times-frac`
43×	`add-cube-cbrt` `*-un-lft-identity`
36×	`sqrt-prod`
22×	`associate-r` `associate-l`
16×	`add-exp-log` `add-cbrt-cube`
9×	`unswap-sqr`
6×	`associate-/r*`
5×	`cbrt-undiv` `div-exp`
4×	`pow1` `prod-exp` `cbrt-unprod`
3×	`div-inv` `associate-/l*`
2×	`add-log-exp`
1×	`frac-times` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `*-commutative`

Counts

2 → 112

Calls

2 calls:

9.0ms	(/ x (sqrt 108.0))
56.0ms	(* (/ 841.0 (sqrt 108.0)) (/ x (sqrt 108.0)))

series242.0ms

Counts

2 → 6

Calls

2 calls:

101.0ms	(/ x (sqrt 108.0))
141.0ms	(* (/ 841.0 (sqrt 108.0)) (/ x (sqrt 108.0)))

simplify1.8s

Counts

118 → 118

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	150	1394
1	385	1282
2	1291	1142
done	5000	1076

prune359.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ x (sqrt (sqrt 108.0)))
0.4b	(* (/ (/ 841.0 (sqrt 108.0)) (sqrt (sqrt 108.0))) (/ x (sqrt (sqrt 108.0))))

rewrite213.0ms

Algorithm

rewrite-expression-head

Rules

504×	`times-frac`
420×	`sqrt-prod`
397×	`add-sqr-sqrt`
227×	`add-cube-cbrt` `*-un-lft-identity`
202×	`associate-l`
40×	`unswap-sqr`
31×	`associate-r`
25×	`add-exp-log` `add-cbrt-cube`
12×	`div-inv`
10×	`cbrt-undiv` `div-exp`
9×	`associate-/r*`
6×	`prod-exp` `cbrt-unprod`
4×	`pow1`
3×	`associate-/l*`
2×	`add-log-exp`
1×	`frac-times` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `*-commutative`

Counts

2 → 348

Calls

2 calls:

8.0ms	(/ x (sqrt (sqrt 108.0)))
178.0ms	(* (/ (/ 841.0 (sqrt 108.0)) (sqrt (sqrt 108.0))) (/ x (sqrt (sqrt 108.0))))

series263.0ms

Counts

2 → 6

Calls

2 calls:

112.0ms	(/ x (sqrt (sqrt 108.0)))
151.0ms	(* (/ (/ 841.0 (sqrt 108.0)) (sqrt (sqrt 108.0))) (/ x (sqrt (sqrt 108.0))))

simplify1.6s

Counts

354 → 354

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	334	6362
1	987	6062
2	2969	5389
done	5000	5377

prune1.1s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes53.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	9
1	11	9
done	11	9

end0.0ms

sample891.0ms

Algorithm

intervals

Results

693.0ms	8010×	body	80	valid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	2×	body	160	valid
0.0ms	1×	body	320	valid