Details

Time bar (total: 6.9s)

sample43.0ms

Algorithm
intervals
Results
13.0ms324×body80valid
10.0ms301×body80nan

simplify3.1s

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: 24.7b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b
(* x (sqrt (- (* y y) (* z z))))
2.6b
(- (* y y) (* z z))
24.0b
(sqrt (- (* y y) (* z z)))

rewrite60.0ms

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:
33.0ms
(* x (sqrt (- (* y y) (* z z))))
12.0ms
(- (* y y) (* z z))
12.0ms
(sqrt (- (* y y) (* z z)))

series226.0ms

Counts
3 → 9
Calls
3 calls:
112.0ms
(* x (sqrt (- (* y y) (* z z))))
55.0ms
(- (* y y) (* z z))
58.0ms
(sqrt (- (* y y) (* z z)))

simplify617.0ms

Counts
63 → 63
Iterations
IterNodes
done5001
2924
1211
085

prune291.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize3.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune12.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- y z))
0.0b
(sqrt (+ y z))
0.1b
(* x (sqrt (+ y z)))
0.2b
(* (* x (sqrt (+ y z))) (sqrt (- y z)))

rewrite139.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
19×*-un-lft-identity sqrt-prod
18×sqrt-div
15×associate-*r*
13×pow1
11×add-cbrt-cube add-exp-log add-cube-cbrt
10×associate-*r/
5×flip3-+ flip-+
4×frac-times flip3-- associate-*l* pow-prod-down prod-exp cbrt-unprod flip-- add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-*l/ *-commutative distribute-lft-out distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 89
Calls
4 calls:
12.0ms
(sqrt (- y z))
11.0ms
(sqrt (+ y z))
38.0ms
(* x (sqrt (+ y z)))
73.0ms
(* (* x (sqrt (+ y z))) (sqrt (- y z)))

series371.0ms

Counts
4 → 12
Calls
4 calls:
100.0ms
(sqrt (- y z))
38.0ms
(sqrt (+ y z))
90.0ms
(* x (sqrt (+ y z)))
143.0ms
(* (* x (sqrt (+ y z))) (sqrt (- y z)))

simplify723.0ms

Counts
101 → 101
Iterations
IterNodes
done5000
21831
1407
0162

prune455.0ms

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

regimes782.0ms

bsearch36.0ms