Details

Time bar (total: 3.5s)

sample38.0ms

Algorithm
intervals
Results
15.0ms528×body80valid

simplify80.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0196
1506
21596
33516
46096
57336
610686
713426
815066
915536
1015536

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.3b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* x x) (* (* y 4.0) (- (* z z) t)))
5.9b
(* (* y 4.0) (- (* z z) t))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-cbrt-cube
sub-neg
distribute-rgt-in add-sqr-sqrt distribute-lft-in associate-*r* associate--r+ add-log-exp
add-cube-cbrt *-un-lft-identity pow-prod-down prod-exp cbrt-unprod
flip3-- associate-*r/ flip--
diff-log associate-*l* *-commutative difference-of-squares
Counts
2 → 41
Calls
2 calls:
10.0ms
(- (* x x) (* (* y 4.0) (- (* z z) t)))
39.0ms
(* (* y 4.0) (- (* z z) t))

series132.0ms

Counts
2 → 6
Calls
2 calls:
70.0ms
(- (* x x) (* (* y 4.0) (- (* z z) t)))
61.0ms
(* (* y 4.0) (- (* z z) t))

simplify45.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0269322
11276286
25001281

prune93.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 2.2b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* x x) (* (* z z) (* y 4.0)))
9.2b
(* (* z z) (* y 4.0))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
14×pow1 add-exp-log add-cbrt-cube
pow-prod-down prod-exp cbrt-unprod
add-log-exp
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
sub-neg flip3-- diff-log associate-*r* associate-*l* *-commutative flip--
Counts
2 → 34
Calls
2 calls:
8.0ms
(- (* x x) (* (* z z) (* y 4.0)))
31.0ms
(* (* z z) (* y 4.0))

series80.0ms

Counts
2 → 6
Calls
2 calls:
59.0ms
(- (* x x) (* (* z z) (* y 4.0)))
21.0ms
(* (* z z) (* y 4.0))

simplify166.0ms

Algorithm
egg-herbie
Counts
40 → 40
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0203239
1921197
24883196
35001196

prune75.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* x x) (* z (* z (* y 4.0))))
0.1b
(* z (* z (* y 4.0)))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1 add-exp-log add-cbrt-cube
pow-prod-down prod-exp cbrt-unprod
add-log-exp
add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*l*
sub-neg flip3-- diff-log associate-*r* *-commutative flip--
Counts
2 → 33
Calls
2 calls:
10.0ms
(- (* x x) (* z (* z (* y 4.0))))
43.0ms
(* z (* z (* y 4.0)))

series78.0ms

Counts
2 → 6
Calls
2 calls:
54.0ms
(- (* x x) (* z (* z (* y 4.0))))
24.0ms
(* z (* z (* y 4.0)))

simplify38.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0206229
1885196
25001196

prune84.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt z) (cbrt z))
0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
pow1/3
add-exp-log swap-sqr associate-*r* associate-*l*
add-cbrt-cube add-log-exp unswap-sqr
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
11.0ms
(* (cbrt z) (cbrt z))
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series752.0ms

Counts
4 → 12
Calls
4 calls:
202.0ms
(* (cbrt z) (cbrt z))
179.0ms
(cbrt z)
189.0ms
(cbrt z)
182.0ms
(cbrt z)

simplify92.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (88.0ms)

IterNodesCost
0115288
1472261
22959238
35003235

prune260.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes173.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0199
1239
2309
3309

end0.0ms

sample1.1s

Algorithm
intervals
Results
481.0ms15922×body80valid