Details

Time bar (total: 1.3s)

sample38.0ms

Algorithm
intervals
Results
11.0ms319×body80valid
11.0ms327×body80nan

simplify74.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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: 26.1b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(* x (sqrt (- (* y y) (* z z))))
3.0b
(- (* y y) (* z z))
25.1b
(sqrt (- (* y y) (* z z)))

rewrite15.0ms

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
flip3-- associate-*l* flip-- difference-of-squares
associate-*r/ unswap-sqr
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))))
3.0ms
(- (* y y) (* z z))
3.0ms
(sqrt (- (* y y) (* z z)))

series153.0ms

Counts
3 → 9
Calls
3 calls:
75.0ms
(* x (sqrt (- (* y y) (* z z))))
30.0ms
(- (* y y) (* z z))
48.0ms
(sqrt (- (* y y) (* z z)))

simplify72.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 2 (19.0ms)

IterNodesCost
0187364
1732340
23010337
35002337

prune116.0ms

Filtered
63 candidates to 46 candidates (73.0%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New60363
Fresh000
Picked011
Done000
Total60464

Merged error: 0.1b

Counts
64 → 4

localize2.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify2.0ms

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: 0.1b

Counts
4 → 4

localize3.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify2.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000

prune2.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New000
Fresh011
Picked011
Done022
Total044

Merged error: 0.1b

Counts
4 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(* x (* (sqrt (+ y z)) (sqrt (- y z))))
0.0b
(sqrt (- y z))
0.2b
(* (sqrt (+ y z)) (sqrt (- y z)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
26×sqrt-div
22×add-sqr-sqrt
18×sqrt-prod
15×*-un-lft-identity
13×pow1
12×associate-*r/
10×add-exp-log associate-*l* add-cbrt-cube
add-cube-cbrt associate-*r*
frac-times
flip3-- flip--
flip3-+ pow-prod-down flip-+
associate-*l/ prod-exp cbrt-unprod unswap-sqr
sqrt-pow1 pow1/2 add-log-exp
*-commutative distribute-lft-out-- difference-of-squares
rem-sqrt-square sqrt-unprod distribute-lft-out
Counts
3 → 84
Calls
3 calls:
11.0ms
(* x (* (sqrt (+ y z)) (sqrt (- y z))))
3.0ms
(sqrt (- y z))
14.0ms
(* (sqrt (+ y z)) (sqrt (- y z)))

series233.0ms

Counts
3 → 9
Calls
3 calls:
99.0ms
(* x (* (sqrt (+ y z)) (sqrt (- y z))))
63.0ms
(sqrt (- y z))
71.0ms
(* (sqrt (+ y z)) (sqrt (- y z)))

simplify45.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0350640
11217606
25001598

prune187.0ms

Filtered
93 candidates to 65 candidates (69.9%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New93093
Fresh000
Picked011
Done033
Total93497

Merged error: 0.1b

Counts
97 → 4

regimes299.0ms

bsearch40.0ms