Details

Time bar (total: 24.6s)

sample57.0ms

Algorithm
intervals
Results
18.0ms325×body80valid
14.0ms264×body80nan

simplify14.3s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0810
11410
22110
33610
46210
513310
619110
737310
8154110
done500010

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 22.9b

localize16.0ms

Local error

Found 2 expressions with local error:

2.4b
(- (* y y) (* z z))
25.2b
(sqrt (- (* y y) (* z z)))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt sqrt-prod add-log-exp
pow1 add-cube-cbrt *-un-lft-identity
add-exp-log flip3-- sqrt-div add-cbrt-cube flip-- difference-of-squares
sub-neg rem-sqrt-square sqrt-pow1 pow1/2 diff-log
Counts
2 → 29
Calls
2 calls:
16.0ms
(- (* y y) (* z z))
27.0ms
(sqrt (- (* y y) (* z z)))

series104.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(- (* y y) (* z z))
61.0ms
(sqrt (- (* y y) (* z z)))

simplify3.4s

Counts
35 → 35
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
055404
1120372
2301320
3975320
44860320
done5000320

prune91.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.4b

localize3.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
done00

prune3.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.4b

localize9.0ms

Local error

Found 1 expressions with local error:

0.3b
(* (sqrt (+ y z)) (sqrt (- y z)))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×sqrt-prod
12×sqrt-div
*-un-lft-identity
associate-*r*
associate-*l*
pow1 add-cube-cbrt
frac-times unswap-sqr
add-exp-log flip3-- flip3-+ pow-prod-down add-cbrt-cube flip-- flip-+
sqrt-pow1 pow1/2 associate-*r/ associate-*l/
sqrt-unprod prod-exp *-commutative cbrt-unprod distribute-lft-out distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 41
Calls
1 calls:
41.0ms
(* (sqrt (+ y z)) (sqrt (- y z)))

series127.0ms

Counts
1 → 3
Calls
1 calls:
127.0ms
(* (sqrt (+ y z)) (sqrt (- y z)))

simplify3.4s

Counts
44 → 44
Iterations

Useful iterations: 4 (2.1s)

IterNodesCost
095620
1191562
2478550
31180548
42893545
done5000545

prune100.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.4b

localize7.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify1.0ms

Counts
0 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
done00

prune0.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.4b

regimes400.0ms

Accuracy

97.6% (0.6b remaining)

Error of 0.7b against oracle of 0.1b and baseline of 25.0b

bsearch296.0ms

Steps
ItersRangePoint
9
-1.2359528117736203e-265
-1.799489011445129e-270
-1.8143615634920972e-270

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0811
11111
21411
done1411

end0.0ms

sample2.1s

Algorithm
intervals
Results
835.0ms9975×body80nan
697.0ms10101×body80valid