Details

Time bar (total: 5.2s)

sample50.0ms

Algorithm
intervals
Results
17.0ms492×body80valid

simplify73.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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

prune4.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 6.1b

Counts
2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* x x) (* (* y 4.0) (- (* z z) t)))
5.7b
(* (* y 4.0) (- (* z z) t))

rewrite12.0ms

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:
3.0ms
(- (* x x) (* (* y 4.0) (- (* z z) t)))
7.0ms
(* (* y 4.0) (- (* z z) t))

series160.0ms

Counts
2 → 6
Calls
2 calls:
85.0ms
(- (* x x) (* (* y 4.0) (- (* z z) t)))
75.0ms
(* (* y 4.0) (- (* z z) t))

simplify42.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0269322
11276286
25001281

prune130.0ms

Filtered
47 candidates to 29 candidates (38.3%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New39847
Fresh000
Picked101
Done000
Total40848

Merged error: 2.5b

Counts
48 → 8

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* x x) (* y (* 4.0 (- (* z z) t))))
5.5b
(* y (* 4.0 (- (* z z) t)))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
16×distribute-rgt-in distribute-lft-in
9×sub-neg
8×associate--r+
7×pow1 add-exp-log add-cbrt-cube
4×associate-*r/ add-log-exp
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*l* pow-prod-down prod-exp cbrt-unprod
2×flip3-- flip--
1×diff-log associate-*r* *-commutative
Counts
2 → 48
Calls
2 calls:
4.0ms
(- (* x x) (* y (* 4.0 (- (* z z) t))))
8.0ms
(* y (* 4.0 (- (* z z) t)))

series159.0ms

Counts
2 → 6
Calls
2 calls:
85.0ms
(- (* x x) (* y (* 4.0 (- (* z z) t))))
74.0ms
(* y (* 4.0 (- (* z z) t)))

simplify132.0ms

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0268359
1970323
24771321
35001321

prune118.0ms

Filtered
54 candidates to 29 candidates (46.3%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New53154
Fresh167
Picked011
Done000
Total54862

Merged error: 2.5b

Counts
62 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
1.9b
(* (cbrt y) (* 4.0 (- (* z z) t)))
4.0b
(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* 4.0 (- (* z z) t))))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
32×distribute-rgt-in distribute-lft-in
30×pow1 add-exp-log
18×pow-prod-down prod-exp add-cbrt-cube cbrt-unprod
12×sub-neg
10×associate-*r/
9×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
7×associate-*l*
4×add-log-exp
2×flip3-- pow1/3 associate-*r* *-commutative flip--
Counts
4 → 99
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
9.0ms
(* (cbrt y) (* 4.0 (- (* z z) t)))
14.0ms
(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* 4.0 (- (* z z) t))))

series761.0ms

Counts
4 → 12
Calls
4 calls:
208.0ms
(cbrt y)
201.0ms
(cbrt y)
243.0ms
(* (cbrt y) (* 4.0 (- (* z z) t)))
109.0ms
(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* 4.0 (- (* z z) t))))

simplify58.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0426965
11738694
25002595

prune342.0ms

Filtered
111 candidates to 56 candidates (49.5%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1110111
Fresh066
Picked011
Done011
Total1118119

Merged error: 2.5b

Counts
119 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* y 4.0) (sqrt (- (* z z) t)))
0.2b
(* (* (* y 4.0) (sqrt (- (* z z) t))) (sqrt (- (* z z) t)))
5.4b
(sqrt (- (* z z) t))
5.4b
(sqrt (- (* z z) t))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
20×pow1
18×add-exp-log sqrt-div add-cbrt-cube
16×add-sqr-sqrt sqrt-prod
14×associate-*r*
10×add-cube-cbrt *-un-lft-identity associate-*r/
9×flip3-- pow-prod-down prod-exp flip-- cbrt-unprod
4×frac-times add-log-exp difference-of-squares
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-*l* associate-*l/ *-commutative
Counts
4 → 89
Calls
4 calls:
9.0ms
(* (* y 4.0) (sqrt (- (* z z) t)))
14.0ms
(* (* (* y 4.0) (sqrt (- (* z z) t))) (sqrt (- (* z z) t)))
4.0ms
(sqrt (- (* z z) t))
4.0ms
(sqrt (- (* z z) t))

series297.0ms

Counts
4 → 12
Calls
4 calls:
86.0ms
(* (* y 4.0) (sqrt (- (* z z) t)))
78.0ms
(* (* (* y 4.0) (sqrt (- (* z z) t))) (sqrt (- (* z z) t)))
67.0ms
(sqrt (- (* z z) t))
66.0ms
(sqrt (- (* z z) t))

simplify57.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0370767
11766653
25002647

prune377.0ms

Filtered
101 candidates to 69 candidates (31.7%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1001101
Fresh055
Picked011
Done112
Total1018109

Merged error: 2.5b

Counts
109 → 8

regimes1.1s

Accuracy

84% (0.5b remaining)

Error of 3.1b against oracle of 2.6b and baseline of 6.0b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02716
12716

end0.0ms

sample1.2s

Algorithm
intervals
Results
562.0ms15878×body80valid

Profiling

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