Details

Time bar (total: 2.0s)

sample54.0ms

Algorithm
intervals
Results
21.0ms314×body80valid
17.0ms282×body80nan

simplify88.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0145
1215
2365
3625
41335
52115
63975
717985
850015

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(* x (sqrt (- (* y y) (* z z))))
2.2b
(- (* y y) (* z z))
24.4b
(sqrt (- (* y y) (* z z)))

rewrite19.0ms

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:
11.0ms
(* x (sqrt (- (* y y) (* z z))))
2.0ms
(- (* y y) (* z z))
4.0ms
(sqrt (- (* y y) (* z z)))

series148.0ms

Counts
3 → 9
Calls
3 calls:
72.0ms
(* x (sqrt (- (* y y) (* z z))))
33.0ms
(- (* y y) (* z z))
43.0ms
(sqrt (- (* y y) (* z z)))

simplify80.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 2 (22.0ms)

IterNodesCost
0187364
1732340
23010337
35002337

prune135.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.3b

localize10.0ms

Local error

Found 4 expressions with local error:

2.2b
(- (* y y) (* z z))
2.2b
(- (* y y) (* z z))
24.4b
(sqrt (- (* y y) (* z z)))
24.4b
(sqrt (- (* y y) (* z z)))

rewrite16.0ms

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))
5.0ms
(- (* y y) (* z z))
4.0ms
(sqrt (- (* y y) (* z z)))
4.0ms
(sqrt (- (* y y) (* z z)))

series150.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(- (* y y) (* z z))
30.0ms
(- (* y y) (* z z))
46.0ms
(sqrt (- (* y y) (* z z)))
44.0ms
(sqrt (- (* y y) (* z z)))

simplify51.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 3 (45.0ms)

IterNodesCost
0122378
1432350
21459350
35001348

prune202.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.3b

localize16.0ms

Local error

Found 4 expressions with local error:

24.4b
(sqrt (- (* y y) (* z z)))
24.4b
(sqrt (- (* y y) (* z z)))
24.4b
(sqrt (- (* y y) (* z z)))
24.4b
(sqrt (- (* y y) (* z z)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
16×sqrt-prod
12×add-sqr-sqrt
8×pow1 add-cube-cbrt *-un-lft-identity sqrt-div
4×add-exp-log rem-sqrt-square flip3-- sqrt-pow1 pow1/2 add-cbrt-cube flip-- add-log-exp difference-of-squares
Counts
4 → 64
Calls
4 calls:
4.0ms
(sqrt (- (* y y) (* z z)))
4.0ms
(sqrt (- (* y y) (* z z)))
4.0ms
(sqrt (- (* y y) (* z z)))
4.0ms
(sqrt (- (* y y) (* z z)))

series188.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(sqrt (- (* y y) (* z z)))
48.0ms
(sqrt (- (* y y) (* z z)))
45.0ms
(sqrt (- (* y y) (* z z)))
49.0ms
(sqrt (- (* y y) (* z z)))

simplify57.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
096424
1234412
2572412
31471412
45002412

prune269.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.3b

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 (2.0ms)

IterNodesCost
000

prune0.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.3b

regimes435.0ms

bsearch55.0ms