Details

Time bar (total: 13.9s)

sample240.0ms

Algorithm
intervals
Results
90.0ms745×body80nan
16.0ms255×body80valid
0.0ms1×body160valid

simplify59.0ms

Counts
1 → 1
Iterations
IterNodes
done13
213
112
06

prune105.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize16.0ms

Local error

Found 1 expressions with local error:

0.5b
(* (sqrt (- x 1)) (sqrt x))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
14×sqrt-prod
10×associate-*l*
8×*-un-lft-identity
6×associate-*r*
5×pow1 add-cube-cbrt
4×unswap-sqr
3×add-cbrt-cube pow-prod-down add-exp-log
2×sqrt-pow1 pow1/2 sqrt-div associate-*l/ difference-of-squares
1×flip3-- sqrt-unprod difference-of-sqr-1 prod-exp *-commutative cbrt-unprod insert-posit16 flip-- distribute-lft-out-- add-log-exp
Counts
1 → 37
Calls
1 calls:
21.0ms
(* (sqrt (- x 1)) (sqrt x))

series134.0ms

Counts
1 → 3
Calls
1 calls:
134.0ms
(* (sqrt (- x 1)) (sqrt x))

simplify3.1s

Counts
40 → 40
Iterations
IterNodes
done5001
43389
31119
2429
1190
085

prune148.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- x 1))
0.5b
(cbrt (- x 1))
0.5b
(cbrt (- x 1))
0.6b
(* (cbrt (- x 1)) (cbrt (- x 1)))

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
61×cbrt-prod
55×add-sqr-sqrt
44×*-un-lft-identity
18×cbrt-div
16×difference-of-squares
15×add-cube-cbrt
14×swap-sqr
11×pow1
10×associate-*r* associate-*l*
9×flip3-- pow1/3 difference-of-sqr-1 flip-- distribute-lft-out--
6×add-exp-log
4×frac-times add-cbrt-cube insert-posit16 add-log-exp unswap-sqr
2×pow-prod-down associate-*l/ associate-*r/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 119
Calls
4 calls:
5.0ms
(cbrt (- x 1))
6.0ms
(cbrt (- x 1))
5.0ms
(cbrt (- x 1))
48.0ms
(* (cbrt (- x 1)) (cbrt (- x 1)))

series296.0ms

Counts
4 → 12
Calls
4 calls:
69.0ms
(cbrt (- x 1))
70.0ms
(cbrt (- x 1))
89.0ms
(cbrt (- x 1))
68.0ms
(* (cbrt (- x 1)) (cbrt (- x 1)))

simplify1.9s

Counts
131 → 131
Iterations
IterNodes
done5007
32453
2852
1343
0153

prune642.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 1 expressions with local error:

0.0b
(- (+ x -1/2) (/ 1/8 x))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt *-un-lft-identity add-log-exp
2×diff-log frac-sub distribute-lft-out-- difference-of-squares
1×pow1 sum-log sub-neg flip3-+ times-frac flip3-- add-cbrt-cube associate--l+ add-exp-log add-cube-cbrt flip-+ insert-posit16 flip-- distribute-lft-out
Counts
1 → 21
Calls
1 calls:
48.0ms
(- (+ x -1/2) (/ 1/8 x))

series28.0ms

Counts
1 → 3
Calls
1 calls:
27.0ms
(- (+ x -1/2) (/ 1/8 x))

simplify1.8s

Counts
24 → 24
Iterations
IterNodes
done5009
32683
2579
1167
067

prune80.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize30.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- x 1) x)
32.5b
(pow (* (- x 1) x) (/ 1 2))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
14×*-un-lft-identity
13×pow-unpow
11×add-cube-cbrt
9×times-frac
7×pow1 associate-*l* add-exp-log
4×add-cbrt-cube
3×associate-*r*
2×pow-pow pow-prod-down associate-*l/ pow-exp prod-exp insert-posit16 add-log-exp difference-of-squares
1×pow-to-exp unpow-prod-down flip3-- difference-of-sqr-1 *-commutative cbrt-unprod div-inv flip-- distribute-lft-out-- unswap-sqr sqr-pow
Counts
2 → 53
Calls
2 calls:
30.0ms
(* (- x 1) x)
24.0ms
(pow (* (- x 1) x) (/ 1 2))

series140.0ms

Counts
2 → 6
Calls
2 calls:
64.0ms
(* (- x 1) x)
75.0ms
(pow (* (- x 1) x) (/ 1 2))

simplify1.8s

Counts
59 → 59
Iterations
IterNodes
done5018
32798
2897
1316
0114

prune161.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes43.0ms

Accuracy

0% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 0.8b

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done14
114
010

end0.0ms

sample3.0s

Algorithm
intervals
Results
1.7s23634×body80nan
822.0ms7994×body80valid
0.0ms6×body160valid