Details

Time bar (total: 12.5s)

sample57.0ms

Algorithm
intervals
Results
20.0ms332×body80nan
16.0ms320×body80valid

simplify5.1s

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.1b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(* x (sqrt (- (* y y) (* z z))))
2.8b
(- (* y y) (* z z))
25.9b
(sqrt (- (* y y) (* z z)))

rewrite70.0ms

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* insert-posit16 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 → 57
Calls
3 calls:
43.0ms
(* x (sqrt (- (* y y) (* z z))))
12.0ms
(- (* y y) (* z z))
13.0ms
(sqrt (- (* y y) (* z z)))

series211.0ms

Counts
3 → 9
Calls
3 calls:
99.0ms
(* x (sqrt (- (* y y) (* z z))))
48.0ms
(- (* y y) (* z z))
64.0ms
(sqrt (- (* y y) (* z z)))

simplify1.5s

Counts
66 → 66
Iterations
IterNodes
done5010
32242
2524
1197
088

prune280.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (sqrt (* (+ y z) (- y z))))
25.9b
(sqrt (* (+ y z) (- y z)))

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
16×sqrt-div
12×associate-*r/
8×frac-times
7×pow1
6×add-sqr-sqrt flip3-+ flip3-- flip-+ flip--
4×*-un-lft-identity add-cbrt-cube associate-*r* associate-*l/ add-exp-log add-cube-cbrt
3×associate-*l*
2×sqrt-pow1 pow-prod-down sqrt-prod insert-posit16 add-log-exp
1×pow1/2 prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 48
Calls
2 calls:
68.0ms
(* x (sqrt (* (+ y z) (- y z))))
11.0ms
(sqrt (* (+ y z) (- y z)))

series198.0ms

Counts
2 → 6
Calls
2 calls:
119.0ms
(* x (sqrt (* (+ y z) (- y z))))
78.0ms
(sqrt (* (+ y z) (- y z)))

simplify1.9s

Counts
54 → 54
Iterations
IterNodes
done5024
33557
2762
1214
097

prune244.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

2.8b
(- (* y y) (* z z))
2.8b
(- (* y y) (* z z))
26.8b
(cbrt (- (* y y) (* z z)))
26.8b
(cbrt (- (* y y) (* z z)))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
8×cbrt-prod add-log-exp
6×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×pow1 cbrt-div flip3-- add-cbrt-cube add-exp-log insert-posit16 flip-- difference-of-squares
2×sub-neg pow1/3 diff-log
Counts
4 → 58
Calls
4 calls:
10.0ms
(- (* y y) (* z z))
9.0ms
(- (* y y) (* z z))
7.0ms
(cbrt (- (* y y) (* z z)))
7.0ms
(cbrt (- (* y y) (* z z)))

series356.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(- (* y y) (* z z))
42.0ms
(- (* y y) (* z z))
132.0ms
(cbrt (- (* y y) (* z z)))
133.0ms
(cbrt (- (* y y) (* z z)))

simplify1.5s

Counts
70 → 70
Iterations
IterNodes
done5006
31803
2456
1166
072

prune375.0ms

Pruning

5 alts after pruning (3 fresh and 2 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

prune0.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes439.0ms

bsearch26.0ms