Details

Time bar (total: 1.2s)

sample39.0ms

Algorithm
intervals
Results
12.0ms337×body80valid
10.0ms306×body80nan

simplify81.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0145
1215
2365
3625
41335
52115
63975
717985
850015

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 21.0b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(* x (sqrt (- (* y y) (* z z))))
2.0b
(- (* y y) (* z z))
21.8b
(sqrt (- (* y y) (* z z)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
9×sqrt-prod
7×add-cube-cbrt *-un-lft-identity associate-*r*
6×pow1
5×add-exp-log add-cbrt-cube add-log-exp
4×sqrt-div
3×flip3-- associate-*l* flip-- difference-of-squares
2×associate-*r/ unswap-sqr
1×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:
7.0ms
(* x (sqrt (- (* y y) (* z z))))
4.0ms
(- (* y y) (* z z))
7.0ms
(sqrt (- (* y y) (* z z)))

series149.0ms

Counts
3 → 9
Calls
3 calls:
70.0ms
(* x (sqrt (- (* y y) (* z z))))
34.0ms
(- (* y y) (* z z))
45.0ms
(sqrt (- (* y y) (* z z)))

simplify77.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 2 (21.0ms)

IterNodesCost
0187364
1732340
23010337
35002337

prune122.0ms

Filtered
63 candidates to 46 candidates (73.0%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New59463
Fresh000
Picked101
Done000
Total60464

Merged error: 0.3b

Counts
64 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

2.0b
(- (* y y) (* z z))
2.0b
(- (* y y) (* z z))
21.8b
(sqrt (- (* y y) (* z z)))
21.8b
(sqrt (- (* y y) (* z z)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt sqrt-prod add-log-exp
6×pow1 add-cube-cbrt *-un-lft-identity
4×add-exp-log flip3-- sqrt-div add-cbrt-cube flip-- difference-of-squares
2×sub-neg rem-sqrt-square sqrt-pow1 pow1/2 diff-log
Counts
4 → 58
Calls
4 calls:
3.0ms
(- (* y y) (* z z))
6.0ms
(- (* y y) (* z z))
4.0ms
(sqrt (- (* y y) (* z z)))
4.0ms
(sqrt (- (* y y) (* z z)))

series152.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(- (* y y) (* z z))
30.0ms
(- (* y y) (* z z))
46.0ms
(sqrt (- (* y y) (* z z)))
45.0ms
(sqrt (- (* y y) (* z z)))

simplify49.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 3 (43.0ms)

IterNodesCost
0122378
1432350
21459350
35001348

prune178.0ms

Filtered
70 candidates to 54 candidates (77.1%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New70070
Fresh033
Picked011
Done000
Total70474

Merged error: 0.3b

Counts
74 → 4

localize3.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify3.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000

prune3.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New000
Fresh022
Picked011
Done011
Total044

Merged error: 0.3b

Counts
4 → 4

localize2.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify3.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000

prune0.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New000
Fresh011
Picked011
Done022
Total044

Merged error: 0.3b

Counts
4 → 4

regimes231.0ms

bsearch14.0ms