Details

Time bar (total: 18.2s)

sample93.0ms

Algorithm
intervals
Results
34.0ms321×body80valid
17.0ms268×body80nan

simplify13.8s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0810
11510
22210
33910
47110
516410
627510
751810
8191210
done500110

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.7b

localize12.0ms

Local error

Found 2 expressions with local error:

2.0b
(- (* y y) (* z z))
24.9b
(sqrt (- (* y y) (* z z)))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt sqrt-prod add-log-exp
pow1 add-cube-cbrt *-un-lft-identity
add-exp-log expm1-log1p-u flip3-- sqrt-div add-cbrt-cube flip-- log1p-expm1-u difference-of-squares
sub-neg rem-sqrt-square sqrt-pow1 pow1/2 fma-neg diff-log prod-diff
Counts
2 → 35
Calls
2 calls:
17.0ms
(- (* y y) (* z z))
21.0ms
(sqrt (- (* y y) (* z z)))

series126.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(- (* y y) (* z z))
83.0ms
(sqrt (- (* y y) (* z z)))

simplify1.7s

Counts
41 → 41
Iterations

Useful iterations: done (1.7s)

IterNodesCost
062456
1132412
2347361
31112361
done5001356

prune231.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (+ y z) (- y z))
24.9b
(sqrt (* (+ y z) (- y z)))

rewrite133.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt *-un-lft-identity
18×prod-diff
16×add-cube-cbrt
11×distribute-rgt-in distribute-lft-in
frac-times sqrt-div
pow1
flip3-- flip3-+ flip-- flip-+
associate-*r*
add-exp-log associate-*r/ associate-*l* associate-*l/ add-cbrt-cube
expm1-log1p-u sub-neg sqrt-pow1 pow-prod-down log1p-expm1-u add-log-exp
pow1/2 prod-exp sqrt-prod *-commutative cbrt-unprod distribute-lft-out distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 74
Calls
2 calls:
72.0ms
(* (+ y z) (- y z))
51.0ms
(sqrt (* (+ y z) (- y z)))

series193.0ms

Counts
2 → 6
Calls
2 calls:
81.0ms
(* (+ y z) (- y z))
112.0ms
(sqrt (* (+ y z) (- y z)))

simplify1.3s

Counts
80 → 80
Iterations

Useful iterations: done (1.3s)

IterNodesCost
01481354
13551134
211781010
done5000983

prune283.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize4.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
done00

prune8.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize3.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
done00

prune0.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes163.0ms

bsearch19.0ms