Details

Time bar (total: 8.7s)

sample84.0ms

Algorithm
intervals
Results
24.0ms330×body80valid
18.0ms294×body80nan

simplify3.5s

Counts
1 → 1
Iterations
IterNodes
done5000
83279
7725
6275
5133
462
336
221
114
08

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.4b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(* x (sqrt (- (* y y) (* z z))))
3.0b
(- (* y y) (* z z))
26.7b
(sqrt (- (* y y) (* z z)))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
9×sqrt-prod
7×*-un-lft-identity associate-*r* add-cube-cbrt
6×pow1
5×add-cbrt-cube add-exp-log add-log-exp
4×sqrt-div
3×flip3-- associate-*l* flip-- difference-of-squares
2×associate-*r/ unswap-sqr
1×rem-sqrt-square sub-neg sqrt-pow1 pow1/2 diff-log pow-prod-down prod-exp *-commutative cbrt-unprod
Counts
3 → 54
Calls
3 calls:
22.0ms
(* x (sqrt (- (* y y) (* z z))))
6.0ms
(- (* y y) (* z z))
18.0ms
(sqrt (- (* y y) (* z z)))

series191.0ms

Counts
3 → 9
Calls
3 calls:
104.0ms
(* x (sqrt (- (* y y) (* z z))))
34.0ms
(- (* y y) (* z z))
52.0ms
(sqrt (- (* y y) (* z z)))

simplify561.0ms

Counts
63 → 63
Iterations
IterNodes
done5001
2924
1211
085

prune331.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize24.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* x (sqrt (sqrt (* (+ y z) (- y z))))) (sqrt (sqrt (- (* y y) (* z z)))))
3.0b
(- (* y y) (* z z))
26.7b
(sqrt (- (* y y) (* z z)))
26.7b
(sqrt (* (+ y z) (- y z)))

rewrite229.0ms

Algorithm
rewrite-expression-head
Rules
94×sqrt-div
34×associate-*r/
32×frac-times
23×flip3-- flip--
16×associate-*l/ sqrt-prod
13×pow1
12×flip3-+ flip-+
10×associate-*r*
9×add-sqr-sqrt add-cbrt-cube add-exp-log
8×*-un-lft-identity add-cube-cbrt
6×add-log-exp
4×pow-prod-down
3×sqrt-pow1 prod-exp cbrt-unprod difference-of-squares
2×pow1/2
1×rem-sqrt-square sub-neg diff-log associate-*l* *-commutative
Counts
4 → 99
Calls
4 calls:
201.0ms
(* (* x (sqrt (sqrt (* (+ y z) (- y z))))) (sqrt (sqrt (- (* y y) (* z z)))))
6.0ms
(- (* y y) (* z z))
7.0ms
(sqrt (- (* y y) (* z z)))
9.0ms
(sqrt (* (+ y z) (- y z)))

series502.0ms

Counts
4 → 12
Calls
4 calls:
306.0ms
(* (* x (sqrt (sqrt (* (+ y z) (- y z))))) (sqrt (sqrt (- (* y y) (* z z)))))
46.0ms
(- (* y y) (* z z))
71.0ms
(sqrt (- (* y y) (* z z)))
79.0ms
(sqrt (* (+ y z) (- y z)))

simplify1.7s

Counts
111 → 111
Iterations
IterNodes
done5000
22908
1585
0226

prune806.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

localize6.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune7.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.1b

localize5.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune0.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.1b

regimes670.0ms

bsearch23.0ms