Details

Time bar (total: 12.4s)

sample64.0ms

Algorithm
intervals
Results
26.0ms310×body80nan
20.0ms329×body80valid

simplify5.7s

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 20.0b

localize25.0ms

Local error

Found 2 expressions with local error:

1.4b
(- (* y y) (* z z))
21.3b
(sqrt (- (* y y) (* z z)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
4×add-sqr-sqrt sqrt-prod add-log-exp
3×pow1 *-un-lft-identity add-cube-cbrt
2×flip3-- add-cbrt-cube sqrt-div add-exp-log insert-posit16 flip-- difference-of-squares
1×rem-sqrt-square sub-neg sqrt-pow1 pow1/2 diff-log
Counts
2 → 31
Calls
2 calls:
14.0ms
(- (* y y) (* z z))
14.0ms
(sqrt (- (* y y) (* z z)))

series138.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(- (* y y) (* z z))
83.0ms
(sqrt (- (* y y) (* z z)))

simplify1.3s

Counts
37 → 37
Iterations
IterNodes
done5025
31567
2347
1129
057

prune203.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 1 expressions with local error:

21.3b
(sqrt (* (+ y z) (- y z)))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
8×sqrt-div
4×frac-times pow1
3×flip3-+ flip3-- flip-+ flip--
2×sqrt-pow1 associate-*l/ associate-*r/
1×add-sqr-sqrt *-un-lft-identity add-cbrt-cube pow1/2 pow-prod-down add-exp-log add-cube-cbrt sqrt-prod insert-posit16 add-log-exp
Counts
1 → 20
Calls
1 calls:
15.0ms
(sqrt (* (+ y z) (- y z)))

series77.0ms

Counts
1 → 3
Calls
1 calls:
77.0ms
(sqrt (* (+ y z) (- y z)))

simplify1.6s

Counts
23 → 23
Iterations
IterNodes
done5000
32301
2515
1136
062

prune119.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

1.4b
(- (* y y) (* z z))
1.4b
(- (* y y) (* z z))
21.3b
(sqrt (- (* y y) (* z z)))
21.3b
(/ (fabs (- (* y y) (* z z))) (sqrt (- (* y y) (* z z))))

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt
21×*-un-lft-identity times-frac add-cube-cbrt
20×sqrt-prod
8×add-log-exp
7×associate-/r* difference-of-squares
6×add-cbrt-cube add-exp-log
5×pow1
4×flip3-- sqrt-div insert-posit16 flip--
3×associate-/l*
2×sub-neg diff-log associate-/r/
1×cbrt-undiv rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow1/2 div-exp div-inv
Counts
4 → 91
Calls
4 calls:
13.0ms
(- (* y y) (* z z))
16.0ms
(- (* y y) (* z z))
12.0ms
(sqrt (- (* y y) (* z z)))
22.0ms
(/ (fabs (- (* y y) (* z z))) (sqrt (- (* y y) (* z z))))

series281.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(- (* y y) (* z z))
55.0ms
(- (* y y) (* z z))
75.0ms
(sqrt (- (* y y) (* z z)))
95.0ms
(/ (fabs (- (* y y) (* z z))) (sqrt (- (* y y) (* z z))))

simplify1.6s

Counts
103 → 103
Iterations
IterNodes
done5007
32058
2565
1231
0120

prune551.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

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

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes483.0ms

bsearch43.0ms