Details

Time bar (total: 1.0s)

sample34.0ms

Algorithm
intervals
Results
8.0ms328×body80valid
8.0ms347×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: 22.9b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(* x (sqrt (- (* y y) (* z z))))
1.2b
(- (* y y) (* z z))
24.0b
(sqrt (- (* y y) (* z z)))

rewrite15.0ms

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:
7.0ms
(* x (sqrt (- (* y y) (* z z))))
3.0ms
(- (* y y) (* z z))
3.0ms
(sqrt (- (* y y) (* z z)))

series143.0ms

Counts
3 → 9
Calls
3 calls:
70.0ms
(* x (sqrt (- (* y y) (* z z))))
28.0ms
(- (* y y) (* z z))
45.0ms
(sqrt (- (* y y) (* z z)))

simplify71.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 2 (18.0ms)

IterNodesCost
0187364
1732340
23010337
35002337

prune136.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.3b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (sqrt (* (+ y z) (- y z))))
24.0b
(sqrt (* (+ y z) (- y z)))

rewrite18.0ms

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:
10.0ms
(* x (sqrt (* (+ y z) (- y z))))
7.0ms
(sqrt (* (+ y z) (- y z)))

series151.0ms

Counts
2 → 6
Calls
2 calls:
96.0ms
(* x (sqrt (* (+ y z) (- y z))))
55.0ms
(sqrt (* (+ y z) (- y z)))

simplify85.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0204342
1891329
23716329
35001329

prune133.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.3b

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

prune4.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.3b

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

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.3b

regimes132.0ms

bsearch13.0ms