Details

Time bar (total: 1.5s)

sample29.0ms

Algorithm
intervals
Results
8.0ms313×body80valid
7.0ms273×body80nan

simplify76.0ms

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: 23.7b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(* x (sqrt (- (* y y) (* z z))))
1.8b
(- (* y y) (* z z))
24.4b
(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:
11.0ms
(* x (sqrt (- (* y y) (* z z))))
3.0ms
(- (* y y) (* z z))
4.0ms
(sqrt (- (* y y) (* z z)))

series153.0ms

Counts
3 → 9
Calls
3 calls:
75.0ms
(* x (sqrt (- (* y y) (* z z))))
30.0ms
(- (* y y) (* z z))
49.0ms
(sqrt (- (* y y) (* z z)))

simplify79.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0187364
1732340
23010337
35002337

prune140.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.4b

localize3.0ms

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

prune5.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.4b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(* x (exp (log (sqrt (- (* y y) (* z z))))))
1.8b
(- (* y y) (* z z))
5.5b
(exp (log (sqrt (- (* y y) (* z z)))))
24.4b
(sqrt (- (* y y) (* z z)))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
16×log-prod exp-sum
13×sqrt-prod
12×add-cube-cbrt *-un-lft-identity
10×associate-*r*
pow1
exp-prod sqrt-div add-cbrt-cube add-log-exp
add-exp-log
log-div flip3-- exp-diff flip-- difference-of-squares
associate-*l* log-pow unswap-sqr
sqrt-pow1 pow1/2 associate-*r/
sub-neg rem-sqrt-square diff-log pow-prod-down prod-exp *-commutative cbrt-unprod rem-exp-log
Counts
4 → 81
Calls
4 calls:
25.0ms
(* x (exp (log (sqrt (- (* y y) (* z z))))))
3.0ms
(- (* y y) (* z z))
5.0ms
(exp (log (sqrt (- (* y y) (* z z)))))
4.0ms
(sqrt (- (* y y) (* z z)))

series197.0ms

Counts
4 → 12
Calls
4 calls:
74.0ms
(* x (exp (log (sqrt (- (* y y) (* z z))))))
30.0ms
(- (* y y) (* z z))
48.0ms
(exp (log (sqrt (- (* y y) (* z z)))))
44.0ms
(sqrt (- (* y y) (* z z)))

simplify80.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (73.0ms)

IterNodesCost
0247586
1819540
23206521
35001513

prune203.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.4b

localize7.0ms

Local error

Found 1 expressions with local error:

3.1b
(exp (log (* -1 y)))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
exp-prod
pow1
add-sqr-sqrt add-cube-cbrt *-un-lft-identity log-pow
add-exp-log log-prod exp-sum pow-prod-down add-cbrt-cube rem-exp-log add-log-exp
Counts
1 → 14
Calls
1 calls:
5.0ms
(exp (log (* -1 y)))

series16.0ms

Counts
1 → 3
Calls
1 calls:
16.0ms
(exp (log (* -1 y)))

simplify27.0ms

Algorithm
egg-herbie
Counts
17 → 17
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
03450
18742
227542
386642
4500142

prune25.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.4b

regimes389.0ms

bsearch13.0ms