Details

Time bar (total: 1.4s)

sample58.0ms

Algorithm
intervals
Results
13.0ms332×body80valid
13.0ms341×body80nan

simplify77.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0145
1215
2365
3625
41335
52115
63975
717985
850015

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 26.7b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(* x (sqrt (- (* y y) (* z z))))
2.4b
(- (* y y) (* z z))
26.5b
(sqrt (- (* y y) (* z z)))

rewrite57.0ms

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:
27.0ms
(* x (sqrt (- (* y y) (* z z))))
13.0ms
(- (* y y) (* z z))
15.0ms
(sqrt (- (* y y) (* z z)))

series175.0ms

Counts
3 → 9
Calls
3 calls:
96.0ms
(* x (sqrt (- (* y y) (* z z))))
31.0ms
(- (* y y) (* z z))
48.0ms
(sqrt (- (* y y) (* z z)))

simplify75.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0187364
1732340
23010337
35002337

prune131.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (sqrt (* (+ y z) (- y z))))
26.5b
(sqrt (* (+ y z) (- y z)))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
16×sqrt-div
12×associate-*r/
frac-times
pow1
add-sqr-sqrt flip3-- flip3-+ flip-- flip-+
add-exp-log add-cube-cbrt *-un-lft-identity associate-*r* associate-*l/ add-cbrt-cube
associate-*l*
sqrt-pow1 pow-prod-down sqrt-prod add-log-exp
pow1/2 prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 46
Calls
2 calls:
42.0ms
(* x (sqrt (* (+ y z) (- y z))))
11.0ms
(sqrt (* (+ y z) (- y z)))

series151.0ms

Counts
2 → 6
Calls
2 calls:
90.0ms
(* x (sqrt (* (+ y z) (- y z))))
61.0ms
(sqrt (* (+ y z) (- y z)))

simplify85.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0204342
1891329
23716329
35001329

prune117.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

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

prune5.0ms

Pruning

5 alts after pruning (2 fresh and 3 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

prune0.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.0b

regimes333.0ms

bsearch26.0ms