Details

Time bar (total: 4.2s)

sample34.0ms

Algorithm
intervals
Results
11.0ms326×body80valid
8.0ms311×body80nan

simplify868.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0810
11410
22110
33610
46310
510410
616810
733610
8165710
done500010

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 22.9b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(* x (sqrt (- (* y y) (* z z))))
2.6b
(- (* y y) (* z z))
22.4b
(sqrt (- (* y y) (* z z)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
sqrt-prod
add-cube-cbrt *-un-lft-identity associate-*r*
pow1
add-exp-log add-cbrt-cube add-log-exp
sqrt-div
flip3-- associate-*l* flip-- difference-of-squares
associate-*r/ unswap-sqr
sub-neg rem-sqrt-square sqrt-pow1 pow1/2 diff-log pow-prod-down prod-exp *-commutative cbrt-unprod
Counts
3 → 54
Calls
3 calls:
11.0ms
(* x (sqrt (- (* y y) (* z z))))
2.0ms
(- (* y y) (* z z))
4.0ms
(sqrt (- (* y y) (* z z)))

series152.0ms

Counts
3 → 9
Calls
3 calls:
74.0ms
(* x (sqrt (- (* y y) (* z z))))
34.0ms
(- (* y y) (* z z))
44.0ms
(sqrt (- (* y y) (* z z)))

simplify1.6s

Counts
63 → 63
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
085765
1189699
2693613
32910613
done5000613

prune139.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (sqrt (* (+ y z) (- y z))))
22.4b
(sqrt (* (+ y z) (- y z)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
16×sqrt-div
12×associate-*r/
frac-times
pow1
add-sqr-sqrt flip3-- flip3-+ flip-- flip-+
add-exp-log add-cube-cbrt *-un-lft-identity associate-*r* associate-*l/ add-cbrt-cube
associate-*l*
sqrt-pow1 pow-prod-down sqrt-prod add-log-exp
pow1/2 prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 46
Calls
2 calls:
20.0ms
(* x (sqrt (* (+ y z) (- y z))))
6.0ms
(sqrt (* (+ y z) (- y z)))

series148.0ms

Counts
2 → 6
Calls
2 calls:
87.0ms
(* x (sqrt (* (+ y z) (- y z))))
61.0ms
(sqrt (* (+ y z) (- y z)))

simplify1000.0ms

Counts
52 → 52
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
095718
1208651
2792625
32783625
done5001625

prune130.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize2.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify1.0ms

Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000
done00

prune2.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize3.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify1.0ms

Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000
done00

prune0.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes91.0ms

bsearch23.0ms