Details

Time bar (total: 1.6s)

sample33.0ms

Algorithm
intervals
Results
8.0ms329×body80valid
8.0ms325×body80nan

simplify77.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0145
1215
2365
3625
41335
52115
63975
717985
850015

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 23.5b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(* x (sqrt (- (* y y) (* z z))))
2.4b
(- (* y y) (* z z))
22.6b
(sqrt (- (* y y) (* z z)))

rewrite19.0ms

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:
12.0ms
(* x (sqrt (- (* y y) (* z z))))
3.0ms
(- (* y y) (* z z))
4.0ms
(sqrt (- (* y y) (* z z)))

series152.0ms

Counts
3 → 9
Calls
3 calls:
74.0ms
(* x (sqrt (- (* y y) (* z z))))
29.0ms
(- (* y y) (* z z))
49.0ms
(sqrt (- (* y y) (* z z)))

simplify76.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0187364
1732340
23010337
35002337

prune137.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

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

prune6.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize4.0ms

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 (1.0ms)

IterNodesCost
000

prune4.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
22×sqrt-prod
17×*-un-lft-identity
16×sqrt-div
pow1 add-cube-cbrt
associate-*r*
associate-*l*
add-exp-log add-cbrt-cube
frac-times flip3-- sqrt-pow1 flip3-+ pow1/2 flip-- flip-+ unswap-sqr
pow-prod-down add-log-exp
rem-sqrt-square associate-*r/ associate-*l/ distribute-lft-out distribute-lft-out-- difference-of-squares
sqrt-unprod prod-exp *-commutative cbrt-unprod
Counts
3 → 74
Calls
3 calls:
7.0ms
(sqrt (- y z))
4.0ms
(sqrt (+ y z))
21.0ms
(* (sqrt (+ y z)) (sqrt (- y z)))

series172.0ms

Counts
3 → 9
Calls
3 calls:
66.0ms
(sqrt (- y z))
39.0ms
(sqrt (+ y z))
66.0ms
(* (sqrt (+ y z)) (sqrt (- y z)))

simplify68.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 2 (21.0ms)

IterNodesCost
0236516
1742490
22902475
35002475

prune360.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.0b

regimes365.0ms

bsearch43.0ms