Details

Time bar (total: 6.5s)

sample43.0ms

Algorithm
intervals
Results
15.0ms313×body80nan
10.0ms325×body80valid

simplify2.5s

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: 23.1b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(* x (sqrt (- (* y y) (* z z))))
2.2b
(- (* y y) (* z z))
23.0b
(sqrt (- (* y y) (* z z)))

rewrite36.0ms

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:
21.0ms
(* x (sqrt (- (* y y) (* z z))))
6.0ms
(- (* y y) (* z z))
7.0ms
(sqrt (- (* y y) (* z z)))

series163.0ms

Counts
3 → 9
Calls
3 calls:
79.0ms
(* x (sqrt (- (* y y) (* z z))))
33.0ms
(- (* y y) (* z z))
50.0ms
(sqrt (- (* y y) (* z z)))

simplify893.0ms

Counts
63 → 63
Iterations
IterNodes
done5001
2924
1211
085

prune275.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

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

prune16.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b
(sqrt (+ y z))
0.0b
(* x (* (sqrt (+ y z)) (sqrt (- y z))))
0.3b
(* (sqrt (+ y z)) (sqrt (- y z)))

rewrite114.0ms

Algorithm
rewrite-expression-head
Rules
26×sqrt-div
20×add-sqr-sqrt
17×sqrt-prod
15×*-un-lft-identity
13×pow1
12×associate-*r/
10×add-cbrt-cube associate-*l* add-exp-log
9×associate-*r* add-cube-cbrt
8×frac-times
7×flip3-+ flip-+
6×flip3-- pow-prod-down flip--
4×associate-*l/ prod-exp cbrt-unprod unswap-sqr
3×sqrt-pow1 pow1/2 add-log-exp
2×*-commutative distribute-lft-out
1×rem-sqrt-square sqrt-unprod distribute-lft-out-- difference-of-squares
Counts
3 → 83
Calls
3 calls:
5.0ms
(sqrt (+ y z))
57.0ms
(* x (* (sqrt (+ y z)) (sqrt (- y z))))
48.0ms
(* (sqrt (+ y z)) (sqrt (- y z)))

series222.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(sqrt (+ y z))
104.0ms
(* x (* (sqrt (+ y z)) (sqrt (- y z))))
81.0ms
(* (sqrt (+ y z)) (sqrt (- y z)))

simplify1.0s

Counts
92 → 92
Iterations
IterNodes
done5000
21473
1369
0157

prune404.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize7.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune1.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes679.0ms

bsearch21.0ms