Details

Time bar (total: 1.3s)

sample69.0ms

Algorithm
intervals
Results
26.0ms348×body80nan
24.0ms336×body80valid

simplify113.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
0155
1225
2395
3715
41675
52985
65455
721425
850015

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 23.5b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt sqrt-prod add-log-exp
pow1 add-cube-cbrt *-un-lft-identity
add-exp-log expm1-log1p-u flip3-- sqrt-div add-cbrt-cube flip-- log1p-expm1-u difference-of-squares
sub-neg rem-sqrt-square sqrt-pow1 pow1/2 fma-neg diff-log prod-diff
Counts
2 → 35
Calls
2 calls:
3.0ms
(- (* y y) (* z z))
5.0ms
(sqrt (- (* y y) (* z z)))

series91.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(- (* y y) (* z z))
56.0ms
(sqrt (- (* y y) (* z z)))

simplify66.0ms

Algorithm
egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 3 (61.0ms)

IterNodesCost
0135210
1482197
21632194
35001189

prune121.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite16.0ms

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 expm1-log1p-u add-cube-cbrt *-un-lft-identity pow1/2 pow-prod-down sqrt-prod add-cbrt-cube log1p-expm1-u add-log-exp
Counts
1 → 21
Calls
1 calls:
13.0ms
(sqrt (* (+ y z) (- y z)))

series61.0ms

Counts
1 → 3
Calls
1 calls:
61.0ms
(sqrt (* (+ y z) (- y z)))

simplify82.0ms

Algorithm
egg-herbie
Counts
24 → 24
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0139163
1536160
22422160
35002160

prune75.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

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

prune7.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.2b

localize9.0ms

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
20×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--
expm1-log1p-u associate-*r/ associate-*l/ log1p-expm1-u distribute-lft-out add-log-exp
rem-sqrt-square sqrt-unprod prod-exp *-commutative cbrt-unprod hypot-def distribute-lft-out-- difference-of-squares
Counts
2 → 62
Calls
2 calls:
5.0ms
(sqrt (+ y z))
21.0ms
(* (sqrt (+ y z)) (sqrt (- y z)))

series116.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(sqrt (+ y z))
78.0ms
(* (sqrt (+ y z)) (sqrt (- y z)))

simplify91.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 3 (84.0ms)

IterNodesCost
0244435
1782418
23109408
35001407

prune180.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.2b

regimes97.0ms

bsearch71.0ms