Details

Time bar (total: 3.8s)

sample39.0ms

Algorithm
intervals
Results
17.0ms496×body80valid

simplify76.0ms

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: 6.9b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* x x) (* (* y 4.0) (- (* z z) t)))
6.4b
(* (* y 4.0) (- (* z z) t))

rewrite52.0ms

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:
12.0ms
(- (* x x) (* (* y 4.0) (- (* z z) t)))
38.0ms
(* (* y 4.0) (- (* z z) t))

series130.0ms

Counts
2 → 6
Calls
2 calls:
73.0ms
(- (* x x) (* (* y 4.0) (- (* z z) t)))
57.0ms
(* (* y 4.0) (- (* z z) t))

simplify41.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0269322
11276286
25001281

prune110.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 1.7b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* x x) (+ (* (* y 4.0) (* z z)) (* (* y 4.0) (- t))))
9.9b
(* (* y 4.0) (* z z))

rewrite93.0ms

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 diff-log distribute-rgt-neg-out associate--r-
sub-neg flip3-- associate-*r* associate-*l* unsub-neg sum-log *-commutative flip-- associate--r+ difference-of-squares
Counts
2 → 39
Calls
2 calls:
60.0ms
(- (* x x) (+ (* (* y 4.0) (* z z)) (* (* y 4.0) (- t))))
31.0ms
(* (* y 4.0) (* z z))

series103.0ms

Counts
2 → 6
Calls
2 calls:
75.0ms
(- (* x x) (+ (* (* y 4.0) (* z z)) (* (* y 4.0) (- t))))
28.0ms
(* (* y 4.0) (* z z))

simplify39.0ms

Algorithm
egg-herbie
Counts
45 → 45
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0253365
11088292
25002288

prune108.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* x x) (+ (* (* (* y 4.0) z) z) (* (* y 4.0) (- t))))
0.2b
(* (* (* y 4.0) z) z)

rewrite191.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1 add-exp-log add-cbrt-cube
add-log-exp
pow-prod-down prod-exp cbrt-unprod
add-sqr-sqrt
add-cube-cbrt *-un-lft-identity associate-*r*
diff-log distribute-rgt-neg-out associate--r-
sub-neg flip3-- associate-*l* unsub-neg sum-log *-commutative flip-- associate--r+ difference-of-squares
Counts
2 → 38
Calls
2 calls:
132.0ms
(- (* x x) (+ (* (* (* y 4.0) z) z) (* (* y 4.0) (- t))))
58.0ms
(* (* (* y 4.0) z) z)

series102.0ms

Counts
2 → 6
Calls
2 calls:
73.0ms
(- (* x x) (+ (* (* (* y 4.0) z) z) (* (* y 4.0) (- t))))
29.0ms
(* (* (* y 4.0) z) z)

simplify43.0ms

Algorithm
egg-herbie
Counts
44 → 44
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0265362
11254302
25001295

prune120.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

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)

series759.0ms

Counts
4 → 12
Calls
4 calls:
201.0ms
(* (cbrt z) (cbrt z))
183.0ms
(cbrt z)
191.0ms
(cbrt z)
184.0ms
(cbrt z)

simplify91.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (86.0ms)

IterNodesCost
0115288
1472261
22959238
35003235

prune281.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

regimes385.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0209
1249
2319
3319

end0.0ms

sample997.0ms

Algorithm
intervals
Results
438.0ms15869×body80valid