Details

Time bar (total: 13.5s)

sample226.0ms

Algorithm
intervals
Results
77.0ms724×body80nan
21.0ms255×body80valid
0.0ms1×body160valid

simplify71.0ms

Counts
1 → 1
Iterations
IterNodes
311
211
110
06

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize22.0ms

Local error

Found 1 expressions with local error:

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

rewrite36.0ms

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×expm1-log1p-u flip3-- sqrt-unprod difference-of-sqr-1 prod-exp *-commutative cbrt-unprod log1p-expm1-u flip-- distribute-lft-out-- add-log-exp
Counts
1 → 38
Calls
1 calls:
33.0ms
(* (sqrt (- x 1)) (sqrt x))

series96.0ms

Counts
1 → 3
Calls
1 calls:
96.0ms
(* (sqrt (- x 1)) (sqrt x))

simplify1.7s

Counts
41 → 41
Iterations
IterNodes
42323
3971
2417
1191
086

prune299.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
41×associate-+r+ *-un-lft-identity
39×prod-diff
36×add-sqr-sqrt add-cube-cbrt
27×times-frac
6×add-log-exp
3×fma-def div-inv
2×sum-log distribute-lft-out
1×expm1-log1p-u pow1 +-commutative associate-+r- sub-neg flip3-+ add-cbrt-cube diff-log add-exp-log flip-+ log1p-expm1-u distribute-lft-out--
Counts
1 → 61
Calls
1 calls:
16.0ms
(+ -1/2 (- x (/ 1/8 x)))

series17.0ms

Counts
1 → 3
Calls
1 calls:
17.0ms
(+ -1/2 (- x (/ 1/8 x)))

simplify909.0ms

Counts
64 → 64
Iterations
IterNodes
32540
21003
1415
0169

prune577.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 1 expressions with local error:

29.2b
(sqrt (* (- x 1) x))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
4×pow1
2×sqrt-pow1 sqrt-div associate-*l/
1×add-sqr-sqrt expm1-log1p-u *-un-lft-identity flip3-- add-cbrt-cube pow1/2 pow-prod-down add-exp-log add-cube-cbrt sqrt-prod log1p-expm1-u flip-- add-log-exp
Counts
1 → 15
Calls
1 calls:
14.0ms
(sqrt (* (- x 1) x))

series33.0ms

Counts
1 → 3
Calls
1 calls:
33.0ms
(sqrt (* (- x 1) x))

simplify5.7s

Counts
18 → 18
Iterations
IterNodes
54027
41621
3633
2249
1112
052

prune103.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes19.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
27
17
06

end0.0ms

sample3.6s

Algorithm
intervals
Results
2.6s24120×body80nan
620.0ms7991×body80valid
1.0ms9×body160valid