Details

Time bar (total: 1.6s)

sample40.0ms

Algorithm
intervals
Results
10.0ms323×body80valid
8.0ms337×body80nan

simplify103.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0155
1225
2395
3715
41675
52985
65455
721425
850015

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(* x (sqrt (- (* y y) (* z z))))
2.0b
(- (* y y) (* z z))
27.0b
(sqrt (- (* y y) (* z z)))

rewrite51.0ms

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
expm1-log1p-u flip3-- associate-*l* flip-- log1p-expm1-u difference-of-squares
associate-*r/ unswap-sqr
sub-neg rem-sqrt-square sqrt-pow1 pow1/2 fma-neg diff-log prod-diff pow-prod-down prod-exp *-commutative cbrt-unprod
Counts
3 → 62
Calls
3 calls:
29.0ms
(* x (sqrt (- (* y y) (* z z))))
9.0ms
(- (* y y) (* z z))
12.0ms
(sqrt (- (* y y) (* z z)))

series159.0ms

Counts
3 → 9
Calls
3 calls:
75.0ms
(* x (sqrt (- (* y y) (* z z))))
34.0ms
(- (* y y) (* z z))
49.0ms
(sqrt (- (* y y) (* z z)))

simplify88.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 3 (82.0ms)

IterNodesCost
0202397
1786374
23192368
35001364

prune171.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize6.0ms

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

prune4.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

localize3.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify4.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
000

prune3.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.1b

localize9.0ms

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)))

rewrite105.0ms

Algorithm
rewrite-expression-head
Rules
26×sqrt-div
22×add-sqr-sqrt
17×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
expm1-log1p-u sqrt-pow1 pow1/2 log1p-expm1-u add-log-exp
*-commutative distribute-lft-out
rem-sqrt-square sqrt-unprod hypot-def distribute-lft-out-- difference-of-squares
Counts
3 → 90
Calls
3 calls:
50.0ms
(* x (* (sqrt (+ y z)) (sqrt (- y z))))
11.0ms
(sqrt (+ y z))
39.0ms
(* (sqrt (+ y z)) (sqrt (- y z)))

series214.0ms

Counts
3 → 9
Calls
3 calls:
106.0ms
(* x (* (sqrt (+ y z)) (sqrt (- y z))))
39.0ms
(sqrt (+ y z))
68.0ms
(* (sqrt (+ y z)) (sqrt (- y z)))

simplify54.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0366664
11272626
25001615

prune236.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.1b

regimes263.0ms

bsearch34.0ms