Details

Time bar (total: 10.6s)

sample75.0ms

Algorithm
intervals
Results
20.0ms545×body80nan
19.0ms248×body160nan
12.0ms256×body80valid

simplify6.0ms

Counts
1 → 1
Iterations
IterNodes
done12
212
111
07

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.1b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x x) 1.0)
0.0b
(+ x (sqrt (- (* x x) 1.0)))
28.1b
(sqrt (- (* x x) 1.0))

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt
8×*-un-lft-identity
7×add-log-exp
6×add-cube-cbrt
4×pow1 sqrt-prod
3×expm1-log1p-u fma-def add-cbrt-cube prod-diff add-exp-log log1p-expm1-u
2×flip3-- sqrt-div flip-- difference-of-squares
1×+-commutative rem-sqrt-square sum-log sub-neg sqrt-pow1 flip3-+ pow1/2 fma-neg diff-log flip-+ distribute-lft-out
Counts
3 → 54
Calls
3 calls:
13.0ms
(- (* x x) 1.0)
26.0ms
(+ x (sqrt (- (* x x) 1.0)))
49.0ms
(sqrt (- (* x x) 1.0))

series259.0ms

Counts
3 → 9
Calls
3 calls:
73.0ms
(- (* x x) 1.0)
112.0ms
(+ x (sqrt (- (* x x) 1.0)))
74.0ms
(sqrt (- (* x x) 1.0))

simplify2.6s

Counts
63 → 63
Iterations
IterNodes
done5000
33359
2777
1285
0120

prune287.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))
0.5b
(* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
15×sqrt-prod
12×sqrt-div
11×*-un-lft-identity
9×associate-*r*
7×associate-*l* add-cube-cbrt
6×pow1
4×frac-times flip3-+ add-cbrt-cube add-exp-log flip-+ add-log-exp unswap-sqr
3×fma-def flip3-- pow-prod-down flip--
2×expm1-log1p-u sqrt-pow1 pow1/2 associate-*l/ associate-*r/ log1p-expm1-u difference-of-squares
1×+-commutative sum-log sqrt-unprod prod-exp *-commutative cbrt-unprod distribute-lft-out distribute-lft-out--
Counts
2 → 60
Calls
2 calls:
4.0ms
(+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))
61.0ms
(* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))

series434.0ms

Counts
2 → 6
Calls
2 calls:
194.0ms
(+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))
240.0ms
(* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))

simplify3.0s

Counts
66 → 66
Iterations
IterNodes
done5000
33839
21125
1386
0156

prune307.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes101.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done13
113
010

end0.0ms

sample3.3s

Algorithm
intervals
Results
1.1s16304×body80nan
1.0s7878×body160nan
588.0ms8000×body80valid