Details

Time bar (total: 9.1s)

sample35.0ms

Algorithm
intervals
Results
9.0ms326×body80valid
8.0ms311×body80nan

simplify6.0s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0810
11510
22210
33910
47010
512710
623310
745510
8188910
done500010

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 22.9b

localize9.0ms

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)))

rewrite22.0ms

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
expm1-log1p-u flip3-- associate-*l* flip-- log1p-expm1-u difference-of-squares
associate-*r/ unswap-sqr
sub-neg rem-sqrt-square sqrt-pow1 pow1/2 fma-neg diff-log prod-diff pow-prod-down prod-exp *-commutative cbrt-unprod
Counts
3 → 62
Calls
3 calls:
12.0ms
(* x (sqrt (- (* y y) (* z z))))
3.0ms
(- (* y y) (* z z))
5.0ms
(sqrt (- (* y y) (* z z)))

series181.0ms

Counts
3 → 9
Calls
3 calls:
88.0ms
(* x (sqrt (- (* y y) (* z z))))
35.0ms
(- (* y y) (* z z))
57.0ms
(sqrt (- (* y y) (* z z)))

simplify1.1s

Counts
71 → 71
Iterations

Useful iterations: done (1.1s)

IterNodesCost
094839
1201758
2569676
32169676
done5001675

prune200.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite37.0ms

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*
expm1-log1p-u sqrt-pow1 pow-prod-down sqrt-prod log1p-expm1-u add-log-exp
pow1/2 prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 50
Calls
2 calls:
21.0ms
(* x (sqrt (* (+ y z) (- y z))))
14.0ms
(sqrt (* (+ y z) (- y z)))

series163.0ms

Counts
2 → 6
Calls
2 calls:
96.0ms
(* x (sqrt (* (+ y z) (- y z))))
66.0ms
(sqrt (* (+ y z) (- y z)))

simplify1.1s

Counts
56 → 56
Iterations

Useful iterations: 2 (67.0ms)

IterNodesCost
099758
1215685
2659659
32450659
done5001659

prune177.0ms

Pruning

3 alts after pruning (2 fresh and 1 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

prune2.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize7.0ms

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

regimes96.0ms

bsearch25.0ms