Details

Time bar (total: 6.0s)

sample1.5s

Algorithm
intervals
sampling

Space saved by range analysis: 36.890989%

Space saved by search: 0.195169%

Guaranteed chance to sample good point: 0%

Results
9.0ms256×body80valid
3.0ms73×body80invalid

simplify77.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 5.3b

Counts
2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* x x) (* (* y 4.0) (- (* z z) t)))
5.0b
(* (* y 4.0) (- (* z z) t))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
5×sub-neg
4×distribute-rgt-in add-sqr-sqrt distribute-lft-in associate-*r* associate--r+ add-log-exp
3×add-cube-cbrt *-un-lft-identity pow-prod-down prod-exp cbrt-unprod
2×flip3-- associate-*r/ flip--
1×diff-log associate-*l* *-commutative difference-of-squares
Counts
2 → 41
Calls
2 calls:
4.0ms
(- (* x x) (* (* y 4.0) (- (* z z) t)))
12.0ms
(* (* y 4.0) (- (* z z) t))

series34.0ms

Counts
2 → 6
Calls
2 calls:
21.0ms
(- (* x x) (* (* y 4.0) (- (* z z) t)))
13.0ms
(* (* y 4.0) (- (* z z) t))

simplify42.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0269322
11276286
25001281

prune71.0ms

Filtered
29 candidates to 47 candidates (-62.1%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New41647
Fresh000
Picked011
Done000
Total41748

Merged error: 2.0b

Counts
48 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

5.0b
(* (* y 4.0) (- (* z z) t))
5.2b
(cbrt (* (* y 4.0) (- (* z z) t)))
5.2b
(cbrt (* (* y 4.0) (- (* z z) t)))
5.2b
(cbrt (* (* y 4.0) (- (* z z) t)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1 add-exp-log add-cbrt-cube
8×associate-*r/
6×add-sqr-sqrt cbrt-div
5×add-cube-cbrt *-un-lft-identity
4×flip3-- associate-*r* flip-- add-log-exp
3×cbrt-prod pow1/3 pow-prod-down prod-exp cbrt-unprod
2×distribute-rgt-in sub-neg distribute-lft-in
1×associate-*l* *-commutative difference-of-squares
Counts
4 → 58
Calls
4 calls:
8.0ms
(* (* y 4.0) (- (* z z) t))
8.0ms
(cbrt (* (* y 4.0) (- (* z z) t)))
6.0ms
(cbrt (* (* y 4.0) (- (* z z) t)))
6.0ms
(cbrt (* (* y 4.0) (- (* z z) t)))

series124.0ms

Counts
4 → 12
Calls
4 calls:
13.0ms
(* (* y 4.0) (- (* z z) t))
38.0ms
(cbrt (* (* y 4.0) (- (* z z) t)))
36.0ms
(cbrt (* (* y 4.0) (- (* z z) t)))
36.0ms
(cbrt (* (* y 4.0) (- (* z z) t)))

simplify41.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0289540
11143478
25002471

prune159.0ms

Filtered
55 candidates to 70 candidates (-27.3%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New69170
Fresh055
Picked101
Done011
Total70777

Merged error: 2.0b

Counts
77 → 7

localize17.0ms

Local error

Found 4 expressions with local error:

5.0b
(* (* y 4.0) (- (* z z) t))
5.2b
(cbrt (* (* y 4.0) (- (* z z) t)))
5.2b
(cbrt (* (* y 4.0) (- (* z z) t)))
5.6b
(cbrt (- (* z z) t))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1 add-exp-log add-cbrt-cube
8×add-sqr-sqrt
6×cbrt-prod add-cube-cbrt cbrt-div *-un-lft-identity associate-*r/
4×flip3-- associate-*r* flip-- add-log-exp
3×pow1/3 pow-prod-down prod-exp cbrt-unprod
2×distribute-rgt-in sub-neg distribute-lft-in difference-of-squares
1×associate-*l* *-commutative
Counts
4 → 61
Calls
4 calls:
8.0ms
(* (* y 4.0) (- (* z z) t))
6.0ms
(cbrt (* (* y 4.0) (- (* z z) t)))
6.0ms
(cbrt (* (* y 4.0) (- (* z z) t)))
4.0ms
(cbrt (- (* z z) t))

series106.0ms

Counts
4 → 12
Calls
4 calls:
13.0ms
(* (* y 4.0) (- (* z z) t))
37.0ms
(cbrt (* (* y 4.0) (- (* z z) t)))
38.0ms
(cbrt (* (* y 4.0) (- (* z z) t)))
18.0ms
(cbrt (- (* z z) t))

simplify44.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0345537
11291479
25002468

prune163.0ms

Filtered
58 candidates to 73 candidates (-25.9%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New72173
Fresh055
Picked011
Done011
Total72880

Merged error: 2.0b

Counts
80 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

1.2b
(* (* y 4.0) (* (cbrt (- (* z z) t)) (cbrt (- (* z z) t))))
5.6b
(cbrt (- (* z z) t))
5.6b
(cbrt (- (* z z) t))
5.6b
(cbrt (- (* z z) t))

rewrite32.0ms

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:
15.0ms
(* (* y 4.0) (* (cbrt (- (* z z) t)) (cbrt (- (* z z) t))))
4.0ms
(cbrt (- (* z z) t))
6.0ms
(cbrt (- (* z z) t))
4.0ms
(cbrt (- (* z z) t))

series85.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(* (* y 4.0) (* (cbrt (- (* z z) t)) (cbrt (- (* z z) t))))
17.0ms
(cbrt (- (* z z) t))
18.0ms
(cbrt (- (* z z) t))
18.0ms
(cbrt (- (* z z) t))

simplify114.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 3 (106.0ms)

IterNodesCost
0354753
11112669
24519640
35001616

prune90.0ms

Filtered
64 candidates to 84 candidates (-31.3%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New84084
Fresh055
Picked011
Done022
Total84892

Merged error: 2.0b

Counts
92 → 8

regimes991.0ms

Accuracy

82.1% (0.6b remaining)

Error of 3.5b against oracle of 2.9b and baseline of 6.3b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02516
12516

end0.0ms

sample2.2s

Algorithm
intervals
sampling

Space saved by range analysis: 36.890989%

Space saved by search: 0.195169%

Guaranteed chance to sample good point: 0%

Results
313.0ms8000×body80valid
80.0ms2059×body80invalid

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