Details

Time bar (total: 14.8s)

sample93.0ms

Algorithm
intervals
Results
27.0ms793×body80nan
7.0ms255×body80valid
0.0ms1×body160valid

simplify49.0ms

Counts
1 → 1
Iterations
IterNodes
done10
210
19
06

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize10.0ms

Local error

Found 1 expressions with local error:

0.5b
(* (sqrt (- x 1.0)) (sqrt x))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
12×sqrt-prod
8×associate-*l*
7×*-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/
1×expm1-log1p-u flip3-- sqrt-unprod prod-exp *-commutative cbrt-unprod log1p-expm1-u flip-- distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 36
Calls
1 calls:
25.0ms
(* (sqrt (- x 1.0)) (sqrt x))

series696.0ms

Counts
1 → 3
Calls
1 calls:
695.0ms
(* (sqrt (- x 1.0)) (sqrt x))

simplify3.2s

Counts
39 → 39
Iterations
IterNodes
done5000
44954
31427
2511
1198
085

prune159.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 1 expressions with local error:

0.0b
(- x (+ 0.5 (/ 0.125 x)))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
20×*-un-lft-identity
12×prod-diff
11×add-sqr-sqrt
9×add-cube-cbrt
6×add-log-exp
4×distribute-lft-out
3×fma-neg
2×diff-log distribute-lft-out--
1×expm1-log1p-u pow1 sum-log sub-neg flip3-- add-cbrt-cube add-exp-log log1p-expm1-u flip-- associate--r+ difference-of-squares
Counts
1 → 34
Calls
1 calls:
39.0ms
(- x (+ 0.5 (/ 0.125 x)))

series35.0ms

Counts
1 → 3
Calls
1 calls:
35.0ms
(- x (+ 0.5 (/ 0.125 x)))

simplify2.2s

Counts
37 → 37
Iterations
IterNodes
done5001
31420
2393
1167
068

prune119.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize6.0ms

Local error

Found 1 expressions with local error:

28.1b
(sqrt (* (- x 1.0) x))

rewrite8.0ms

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:
8.0ms
(sqrt (* (- x 1.0) x))

series45.0ms

Counts
1 → 3
Calls
1 calls:
45.0ms
(sqrt (* (- x 1.0) x))

simplify4.9s

Counts
18 → 18
Iterations
IterNodes
done5000
42740
3818
2282
1122
053

prune60.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes122.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done7
17
06

end0.0ms

sample3.0s

Algorithm
intervals
Results
2.0s24182×body80nan
422.0ms7985×body80valid
1.0ms15×body160valid