Details

Time bar (total: 1.1s)

sample61.0ms

Algorithm
intervals
Results
22.0ms336×body80valid
21.0ms348×body80nan

simplify82.0ms

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: 23.5b

localize9.0ms

Local error

Found 2 expressions with local error:

2.4b
(- (* y y) (* z z))
23.2b
(sqrt (- (* y y) (* z z)))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt sqrt-prod add-log-exp
pow1 add-cube-cbrt *-un-lft-identity
add-exp-log flip3-- sqrt-div add-cbrt-cube flip-- difference-of-squares
sub-neg rem-sqrt-square sqrt-pow1 pow1/2 diff-log
Counts
2 → 29
Calls
2 calls:
3.0ms
(- (* y y) (* z z))
4.0ms
(sqrt (- (* y y) (* z z)))

series78.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(- (* y y) (* z z))
44.0ms
(sqrt (- (* y y) (* z z)))

simplify45.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 3 (41.0ms)

IterNodesCost
0122189
1432175
21459175
35001174

prune81.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

localize7.0ms

Local error

Found 1 expressions with local error:

23.2b
(sqrt (* (+ y z) (- y z)))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
sqrt-div
pow1 frac-times
flip3-- flip3-+ flip-- flip-+
sqrt-pow1 associate-*r/ associate-*l/
add-exp-log add-sqr-sqrt add-cube-cbrt *-un-lft-identity pow1/2 pow-prod-down sqrt-prod add-cbrt-cube add-log-exp
Counts
1 → 19
Calls
1 calls:
6.0ms
(sqrt (* (+ y z) (- y z)))

series58.0ms

Counts
1 → 3
Calls
1 calls:
58.0ms
(sqrt (* (+ y z) (- y z)))

simplify56.0ms

Algorithm
egg-herbie
Counts
22 → 22
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0131151
1516148
22234148
35002148

prune55.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

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)

Merged error: 0.2b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(sqrt (+ y z))
0.3b
(* (sqrt (+ y z)) (sqrt (- y z)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
17×sqrt-prod
14×sqrt-div
13×*-un-lft-identity
associate-*r*
pow1 add-cube-cbrt associate-*l*
add-exp-log frac-times flip3-+ add-cbrt-cube flip-+ unswap-sqr
flip3-- sqrt-pow1 pow1/2 pow-prod-down flip--
associate-*r/ associate-*l/ distribute-lft-out add-log-exp
rem-sqrt-square sqrt-unprod prod-exp *-commutative cbrt-unprod distribute-lft-out-- difference-of-squares
Counts
2 → 57
Calls
2 calls:
4.0ms
(sqrt (+ y z))
22.0ms
(* (sqrt (+ y z)) (sqrt (- y z)))

series101.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(sqrt (+ y z))
67.0ms
(* (sqrt (+ y z)) (sqrt (- y z)))

simplify64.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 2 (19.0ms)

IterNodesCost
0230417
1736401
22896391
35001391

prune157.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.2b

regimes87.0ms

bsearch61.0ms