Details

Time bar (total: 3.5s)

sample36.0ms

Algorithm
intervals
Results
19.0ms522×body80valid

simplify78.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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

prune3.0ms

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: 5.1b

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)))
4.7b
(* (* 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))

series156.0ms

Counts
3 → 9
Calls
3 calls:
20.0ms
(- (* z z) t)
74.0ms
(- (* x x) (* (* y 4.0) (- (* z z) t)))
61.0ms
(* (* y 4.0) (- (* z z) t))

simplify46.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0292385
11348342
25001337

prune142.0ms

Filtered
63 candidates to 41 candidates (65.1%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New56763
Fresh000
Picked101
Done000
Total57764

Merged error: 2.0b

Counts
64 → 7

localize10.0ms

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))))
7.7b
(* (* y 4.0) (* z z))

rewrite27.0ms

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:
10.0ms
(+ (* (* 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))

series179.0ms

Counts
3 → 9
Calls
3 calls:
80.0ms
(+ (* (* y 4.0) (* z z)) (* (* y 4.0) (- t)))
71.0ms
(- (* x x) (+ (* (* y 4.0) (* z z)) (* (* y 4.0) (- t))))
28.0ms
(* (* y 4.0) (* z z))

simplify69.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
0314491
11440398
25001390

prune115.0ms

Filtered
62 candidates to 38 candidates (61.3%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New61162
Fresh336
Picked101
Done000
Total65469

Merged error: 0.0b

Counts
69 → 4

localize10.0ms

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)

rewrite22.0ms

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)))
7.0ms
(- (* x x) (+ (* (* (* y 4.0) z) z) (* (* y 4.0) (- t))))
7.0ms
(* (* (* y 4.0) z) z)

series169.0ms

Counts
3 → 9
Calls
3 calls:
70.0ms
(+ (* (* (* y 4.0) z) z) (* (* y 4.0) (- t)))
70.0ms
(- (* x x) (+ (* (* (* y 4.0) z) z) (* (* y 4.0) (- t))))
28.0ms
(* (* (* y 4.0) z) z)

simplify55.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0323488
11585427
25001382

prune111.0ms

Filtered
60 candidates to 39 candidates (65.0%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New58260
Fresh033
Picked011
Done000
Total58664

Merged error: 0.0b

Counts
64 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* (* (* y 4.0) z) z)) (cbrt (* (* (* y 4.0) z) z)))
22.4b
(cbrt (* (* (* y 4.0) z) z))
22.4b
(cbrt (* (* (* y 4.0) z) z))
22.4b
(cbrt (* (* (* y 4.0) z) z))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 58
Calls
4 calls:
6.0ms
(* (cbrt (* (* (* y 4.0) z) z)) (cbrt (* (* (* y 4.0) z) z)))
5.0ms
(cbrt (* (* (* y 4.0) z) z))
5.0ms
(cbrt (* (* (* y 4.0) z) z))
5.0ms
(cbrt (* (* (* y 4.0) z) z))

series452.0ms

Counts
4 → 12
Calls
4 calls:
135.0ms
(* (cbrt (* (* (* y 4.0) z) z)) (cbrt (* (* (* y 4.0) z) z)))
101.0ms
(cbrt (* (* (* y 4.0) z) z))
101.0ms
(cbrt (* (* (* y 4.0) z) z))
115.0ms
(cbrt (* (* (* y 4.0) z) z))

simplify100.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 3 (93.0ms)

IterNodesCost
0220537
1708472
23288393
35001387

prune186.0ms

Filtered
70 candidates to 56 candidates (80.0%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New68270
Fresh044
Picked011
Done011
Total68876

Merged error: 0.0b

Counts
76 → 8

regimes403.0ms

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

sample1.1s

Algorithm
intervals
Results
621.0ms15784×body80valid

Profiling

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