Details

Time bar (total: 10.9s)

sample96.0ms

Algorithm
intervals
Results
25.0ms727×body80nan
8.0ms255×body80valid
0.0ms1×body160valid

simplify50.0ms

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

localize16.0ms

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×flip3-- sqrt-unprod prod-exp *-commutative cbrt-unprod flip-- distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 34
Calls
1 calls:
24.0ms
(* (sqrt (- x 1.0)) (sqrt x))

series86.0ms

Counts
1 → 3
Calls
1 calls:
86.0ms
(* (sqrt (- x 1.0)) (sqrt x))

simplify2.9s

Counts
37 → 37
Iterations
IterNodes
done5000
33837
2687
1190
083

prune146.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 1 expressions with local error:

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

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
6×*-un-lft-identity add-log-exp
3×add-sqr-sqrt
2×diff-log distribute-lft-out--
1×pow1 sum-log sub-neg flip3-- add-cbrt-cube add-exp-log add-cube-cbrt flip-- distribute-lft-out associate--r+ difference-of-squares
Counts
1 → 17
Calls
1 calls:
56.0ms
(- x (+ 0.5 (/ 0.125 x)))

series35.0ms

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

simplify1.8s

Counts
20 → 20
Iterations
IterNodes
done5001
33420
2386
1103
042

prune67.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt x))
0.1b
(sqrt (sqrt x))
0.3b
(* (* (sqrt (- x 1.0)) (sqrt (sqrt x))) (sqrt (sqrt x)))
0.3b
(* (sqrt (- x 1.0)) (sqrt (sqrt x)))

rewrite105.0ms

Algorithm
rewrite-expression-head
Rules
52×sqrt-prod
34×add-sqr-sqrt
20×pow1
18×*-un-lft-identity associate-*r*
16×add-cube-cbrt
13×sqrt-pow1
11×add-cbrt-cube add-exp-log
10×pow-prod-down
9×pow1/2 associate-*l*
6×associate-*l/ unswap-sqr
4×rem-sqrt-square sqrt-div prod-exp cbrt-unprod add-log-exp
3×sqrt-unprod
2×flip3-- *-commutative flip--
1×distribute-lft-out-- difference-of-squares
Counts
4 → 106
Calls
4 calls:
3.0ms
(sqrt (sqrt x))
4.0ms
(sqrt (sqrt x))
59.0ms
(* (* (sqrt (- x 1.0)) (sqrt (sqrt x))) (sqrt (sqrt x)))
33.0ms
(* (sqrt (- x 1.0)) (sqrt (sqrt x)))

series715.0ms

Counts
4 → 12
Calls
4 calls:
222.0ms
(sqrt (sqrt x))
185.0ms
(sqrt (sqrt x))
111.0ms
(* (* (sqrt (- x 1.0)) (sqrt (sqrt x))) (sqrt (sqrt x)))
196.0ms
(* (sqrt (- x 1.0)) (sqrt (sqrt x)))

simplify1.2s

Counts
118 → 118
Iterations
IterNodes
done5000
22269
1484
0190

prune400.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes25.0ms

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
done7
17
06

end0.0ms

sample3.1s

Algorithm
intervals
Results
1.9s23961×body80nan
482.0ms7991×body80valid
1.0ms9×body160valid