Details

Time bar (total: 1.4s)

sample39.0ms

Algorithm
intervals
Results
11.0ms323×body80valid
8.0ms337×body80nan

simplify74.0ms

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: 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)))

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:
38.0ms
(* x (sqrt (- (* y y) (* z z))))
8.0ms
(- (* y y) (* z z))
9.0ms
(sqrt (- (* y y) (* z z)))

series179.0ms

Counts
3 → 9
Calls
3 calls:
72.0ms
(* x (sqrt (- (* y y) (* z z))))
44.0ms
(- (* y y) (* z z))
63.0ms
(sqrt (- (* y y) (* z z)))

simplify73.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 2 (19.0ms)

IterNodesCost
0187364
1732340
23010337
35002337

prune131.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

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

prune3.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

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

prune2.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.1b

localize8.0ms

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)))

rewrite102.0ms

Algorithm
rewrite-expression-head
Rules
26×sqrt-div
20×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
sqrt-pow1 pow1/2 add-log-exp
*-commutative distribute-lft-out
rem-sqrt-square sqrt-unprod distribute-lft-out-- difference-of-squares
Counts
3 → 83
Calls
3 calls:
51.0ms
(* x (* (sqrt (+ y z)) (sqrt (- y z))))
7.0ms
(sqrt (+ y z))
41.0ms
(* (sqrt (+ y z)) (sqrt (- y z)))

series183.0ms

Counts
3 → 9
Calls
3 calls:
89.0ms
(* x (* (sqrt (+ y z)) (sqrt (- y z))))
30.0ms
(sqrt (+ y z))
63.0ms
(* (sqrt (+ y z)) (sqrt (- y z)))

simplify40.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0348632
11215598
25001590

prune196.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.1b

regimes263.0ms

bsearch34.0ms