Details

Time bar (total: 8.8s)

sample81.0ms

Algorithm
intervals
Results
35.0ms311×body80nan
26.0ms328×body80valid

simplify2.9s

Counts
1 → 1
Iterations
IterNodes
done5000
83279
7725
6275
5133
462
336
221
114
08

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 25.2b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(* x (sqrt (- (* y y) (* z z))))
2.4b
(- (* y y) (* z z))
25.0b
(sqrt (- (* y y) (* z z)))

rewrite73.0ms

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:
46.0ms
(* x (sqrt (- (* y y) (* z z))))
15.0ms
(- (* y y) (* z z))
11.0ms
(sqrt (- (* y y) (* z z)))

series230.0ms

Counts
3 → 9
Calls
3 calls:
108.0ms
(* x (sqrt (- (* y y) (* z z))))
38.0ms
(- (* y y) (* z z))
83.0ms
(sqrt (- (* y y) (* z z)))

simplify745.0ms

Counts
66 → 66
Iterations
IterNodes
done5001
2904
1213
088

prune246.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.2b

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

prune11.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.2b

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite69.0ms

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 insert-posit16 add-log-exp
2×*-commutative distribute-lft-out
1×rem-sqrt-square sqrt-unprod distribute-lft-out-- difference-of-squares
Counts
3 → 86
Calls
3 calls:
39.0ms
(* x (* (sqrt (+ y z)) (sqrt (- y z))))
4.0ms
(sqrt (+ y z))
24.0ms
(* (sqrt (+ y z)) (sqrt (- y z)))

series290.0ms

Counts
3 → 9
Calls
3 calls:
148.0ms
(* x (* (sqrt (+ y z)) (sqrt (- y z))))
63.0ms
(sqrt (+ y z))
79.0ms
(* (sqrt (+ y z)) (sqrt (- y z)))

simplify1.0s

Counts
95 → 95
Iterations
IterNodes
done5001
21461
1372
0160

prune442.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.2b

localize25.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (sqrt (* (+ y z) (- y z))))
25.0b
(sqrt (* (+ y z) (- y z)))

rewrite42.0ms

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:
34.0ms
(* x (sqrt (* (+ y z) (- y z))))
8.0ms
(sqrt (* (+ y z) (- y z)))

series170.0ms

Counts
2 → 6
Calls
2 calls:
95.0ms
(* x (sqrt (* (+ y z) (- y z))))
75.0ms
(sqrt (* (+ y z) (- y z)))

simplify2.0s

Counts
54 → 54
Iterations
IterNodes
done5001
34962
2880
1214
097

prune199.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.2b

regimes198.0ms

bsearch17.0ms