Details

Time bar (total: 3.4s)

sample35.0ms

Algorithm
intervals
Results
18.0ms518×body80valid

simplify82.0ms

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

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 3.9b

Counts
2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* z z) t)
0.0b
(- (* x x) (* (* y 4.0) (- (* z z) t)))
3.7b
(* (* y 4.0) (- (* z z) t))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
8×pow1 add-exp-log add-cbrt-cube
7×add-log-exp
6×add-sqr-sqrt sub-neg
4×distribute-rgt-in add-cube-cbrt *-un-lft-identity distribute-lft-in associate-*r* associate--r+
3×flip3-- pow-prod-down prod-exp flip-- cbrt-unprod
2×diff-log associate-*r/ difference-of-squares
1×associate-*l* *-commutative
Counts
3 → 54
Calls
3 calls:
4.0ms
(- (* z z) t)
4.0ms
(- (* x x) (* (* y 4.0) (- (* z z) t)))
8.0ms
(* (* y 4.0) (- (* z z) t))

series161.0ms

Counts
3 → 9
Calls
3 calls:
23.0ms
(- (* z z) t)
73.0ms
(- (* x x) (* (* y 4.0) (- (* z z) t)))
65.0ms
(* (* y 4.0) (- (* z z) t))

simplify46.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0292385
11348342
25001337

prune136.0ms

Filtered
63 candidates to 41 candidates (65.1%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New54963
Fresh000
Picked101
Done000
Total55964

Merged error: 1.2b

Counts
64 → 9

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* (* y 4.0) (* z z)) (* (* y 4.0) (- t)))
0.0b
(- (* x x) (+ (* (* y 4.0) (* z z)) (* (* y 4.0) (- t))))
6.5b
(* (* y 4.0) (* z z))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
15×pow1 add-exp-log add-cbrt-cube
10×add-log-exp
8×pow-prod-down prod-exp cbrt-unprod
4×add-sqr-sqrt distribute-rgt-neg-out
3×add-cube-cbrt *-un-lft-identity
2×diff-log unsub-neg sum-log associate--r-
1×+-commutative sub-neg flip3-- flip3-+ associate-*r* associate-*l* *-commutative flip-- flip-+ distribute-lft-out associate--r+ difference-of-squares
Counts
3 → 53
Calls
3 calls:
8.0ms
(+ (* (* y 4.0) (* z z)) (* (* y 4.0) (- t)))
8.0ms
(- (* x x) (+ (* (* y 4.0) (* z z)) (* (* y 4.0) (- t))))
7.0ms
(* (* y 4.0) (* z z))

series184.0ms

Counts
3 → 9
Calls
3 calls:
74.0ms
(+ (* (* y 4.0) (* z z)) (* (* y 4.0) (- t)))
76.0ms
(- (* x x) (+ (* (* y 4.0) (* z z)) (* (* y 4.0) (- t))))
34.0ms
(* (* y 4.0) (* z z))

simplify59.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0314491
11440398
25001390

prune124.0ms

Filtered
62 candidates to 38 candidates (61.3%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New60262
Fresh448
Picked101
Done000
Total65671

Merged error: 0.0b

Counts
71 → 6

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
12×pow1 add-exp-log add-cbrt-cube
10×add-log-exp
6×pow-prod-down prod-exp cbrt-unprod
5×add-sqr-sqrt
4×add-cube-cbrt *-un-lft-identity distribute-rgt-neg-out
3×associate-*r*
2×diff-log unsub-neg sum-log associate--r-
1×+-commutative sub-neg flip3-- flip3-+ associate-*l* *-commutative flip-- flip-+ associate--r+ difference-of-squares
Counts
3 → 51
Calls
3 calls:
7.0ms
(+ (* (* (* y 4.0) z) z) (* (* y 4.0) (- t)))
8.0ms
(- (* x x) (+ (* (* (* y 4.0) z) z) (* (* y 4.0) (- t))))
7.0ms
(* (* (* y 4.0) z) z)

series187.0ms

Counts
3 → 9
Calls
3 calls:
77.0ms
(+ (* (* (* y 4.0) z) z) (* (* y 4.0) (- t)))
79.0ms
(- (* x x) (+ (* (* (* y 4.0) z) z) (* (* y 4.0) (- t))))
31.0ms
(* (* (* y 4.0) z) z)

simplify58.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0323488
11585427
25001382

prune128.0ms

Filtered
60 candidates to 39 candidates (65.0%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New59160
Fresh055
Picked011
Done000
Total59766

Merged error: 0.0b

Counts
66 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.9b
(* (* y 4.0) (* (cbrt (- (* z z) t)) (cbrt (- (* z z) t))))
4.1b
(cbrt (- (* z z) t))
4.1b
(cbrt (- (* z z) t))
4.1b
(cbrt (- (* z z) t))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-div
16×pow1 add-exp-log
12×cbrt-prod add-cbrt-cube
10×add-sqr-sqrt associate-*r/
9×flip3-- flip--
8×pow-prod-down prod-exp cbrt-unprod
7×add-cube-cbrt *-un-lft-identity
4×frac-times add-log-exp
3×pow1/3 difference-of-squares
2×associate-*l/
1×associate-*r* associate-*l* *-commutative
Counts
4 → 72
Calls
4 calls:
16.0ms
(* (* y 4.0) (* (cbrt (- (* z z) t)) (cbrt (- (* z z) t))))
4.0ms
(cbrt (- (* z z) t))
4.0ms
(cbrt (- (* z z) t))
4.0ms
(cbrt (- (* z z) t))

series364.0ms

Counts
4 → 12
Calls
4 calls:
98.0ms
(* (* y 4.0) (* (cbrt (- (* z z) t)) (cbrt (- (* z z) t))))
89.0ms
(cbrt (- (* z z) t))
89.0ms
(cbrt (- (* z z) t))
89.0ms
(cbrt (- (* z z) t))

simplify119.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0315709
11057625
24510613
35001613

prune232.0ms

Filtered
84 candidates to 66 candidates (78.6%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New83184
Fresh055
Picked011
Done011
Total83891

Merged error: 0.0b

Counts
91 → 8

regimes432.0ms

Accuracy

0% (0.0b 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

sample919.0ms

Algorithm
intervals
Results
506.0ms15944×body80valid

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