Details

Time bar (total: 11.3s)

sample65.0ms

Algorithm
intervals
Results
19.0ms338×body80nan
13.0ms331×body80valid

simplify5.6s

Counts
1 → 1
Iterations
IterNodes
done5000
94530
81155
7370
6204
5132
461
336
221
114
08

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.3b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(* x (sqrt (- (* y y) (* z z))))
2.0b
(- (* y y) (* z z))
26.8b
(sqrt (- (* y y) (* z z)))

rewrite40.0ms

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:
25.0ms
(* x (sqrt (- (* y y) (* z z))))
6.0ms
(- (* y y) (* z z))
7.0ms
(sqrt (- (* y y) (* z z)))

series174.0ms

Counts
3 → 9
Calls
3 calls:
86.0ms
(* x (sqrt (- (* y y) (* z z))))
36.0ms
(- (* y y) (* z z))
52.0ms
(sqrt (- (* y y) (* z z)))

simplify1.5s

Counts
63 → 63
Iterations
IterNodes
done5000
32374
2545
1196
085

prune256.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize8.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune15.0ms

Pruning

4 alts after pruning (2 fresh and 2 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

prune5.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 3 expressions with local error:

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

rewrite96.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt sqrt-div
15×*-un-lft-identity associate-*r*
14×sqrt-prod
11×pow1
10×add-cbrt-cube associate-*r/ add-exp-log
9×add-cube-cbrt
5×flip3-+ flip-+
4×frac-times associate-*l* pow-prod-down prod-exp cbrt-unprod
3×flip3-- flip-- add-log-exp
2×associate-*l/ *-commutative distribute-lft-out unswap-sqr
1×rem-sqrt-square sqrt-pow1 pow1/2 distribute-lft-out-- difference-of-squares
Counts
3 → 72
Calls
3 calls:
9.0ms
(sqrt (+ y z))
28.0ms
(* x (sqrt (+ y z)))
56.0ms
(* (* x (sqrt (+ y z))) (sqrt (- y z)))

series279.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(sqrt (+ y z))
88.0ms
(* x (sqrt (+ y z)))
143.0ms
(* (* x (sqrt (+ y z))) (sqrt (- y z)))

simplify2.2s

Counts
81 → 81
Iterations
IterNodes
done5059
33960
21179
1401
0158

prune367.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.1b

regimes666.0ms

bsearch11.0ms