Details

Time bar (total: 1.9s)

sample48.0ms

Algorithm
intervals
Results
19.0ms315×body80valid
13.0ms280×body80nan

simplify80.0ms

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: 22.5b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(* x (sqrt (- (* y y) (* z z))))
2.0b
(- (* y y) (* z z))
22.5b
(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:
11.0ms
(* x (sqrt (- (* y y) (* z z))))
2.0ms
(- (* y y) (* z z))
4.0ms
(sqrt (- (* y y) (* z z)))

series168.0ms

Counts
3 → 9
Calls
3 calls:
88.0ms
(* x (sqrt (- (* y y) (* z z))))
30.0ms
(- (* y y) (* z z))
49.0ms
(sqrt (- (* y y) (* z z)))

simplify88.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0187364
1732340
23010337
35002337

prune133.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.2b

localize9.0ms

Local error

Found 4 expressions with local error:

2.0b
(- (* y y) (* z z))
2.0b
(- (* y y) (* z z))
22.5b
(sqrt (- (* y y) (* z z)))
22.5b
(sqrt (- (* y y) (* z z)))

rewrite14.0ms

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

series156.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(- (* y y) (* z z))
30.0ms
(- (* y y) (* z z))
48.0ms
(sqrt (- (* y y) (* z z)))
44.0ms
(sqrt (- (* y y) (* z z)))

simplify47.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 3 (41.0ms)

IterNodesCost
0122378
1432350
21459350
35001348

prune195.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.2b

localize11.0ms

Local error

Found 4 expressions with local error:

2.0b
(- (* y y) (* z z))
22.5b
(sqrt (- (* y y) (* z z)))
22.5b
(sqrt (- (* y y) (* z z)))
22.5b
(sqrt (- (* y y) (* z z)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
12×sqrt-prod
10×add-sqr-sqrt
7×pow1 add-cube-cbrt *-un-lft-identity
6×sqrt-div add-log-exp
4×add-exp-log flip3-- add-cbrt-cube flip-- difference-of-squares
3×rem-sqrt-square sqrt-pow1 pow1/2
1×sub-neg diff-log
Counts
4 → 61
Calls
4 calls:
2.0ms
(- (* y y) (* z z))
4.0ms
(sqrt (- (* y y) (* z z)))
7.0ms
(sqrt (- (* y y) (* z z)))
4.0ms
(sqrt (- (* y y) (* z z)))

series177.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(- (* y y) (* z z))
45.0ms
(sqrt (- (* y y) (* z z)))
50.0ms
(sqrt (- (* y y) (* z z)))
45.0ms
(sqrt (- (* y y) (* z z)))

simplify48.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 3 (42.0ms)

IterNodesCost
0122401
1432381
21459381
35001378

prune213.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.2b

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 (2.0ms)

IterNodesCost
000

prune0.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.2b

regimes389.0ms

bsearch50.0ms