Details

Time bar (total: 2.6s)

analyze594.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
0%99.8%0.2%8
16.4%83.4%0.2%9
21.4%78.4%0.2%10
25.9%73.3%0.8%11
28%70.2%1.9%12
39.6%55.8%4.6%13
43.9%50.4%5.8%14

sample26.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
7.0ms60×body80invalid

simplify34.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
07339
17339

prune11.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 2

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* y (/ (- z x) t)))
0.0b
(/ (- z x) t)
5.7b
(* y (/ (- z x) t))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
37×*-un-lft-identity
31×times-frac
23×add-cube-cbrt
19×associate-*r*
10×add-exp-log add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×pow1 associate-/l* add-log-exp
3×associate-*l* associate-/r*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative flip3-- frac-2neg flip3-+ div-sub associate-*r/ pow-prod-down clear-num sum-log *-commutative flip-- flip-+
Counts
3 → 87
Calls
3 calls:
3.0ms
(+ x (* y (/ (- z x) t)))
6.0ms
(/ (- z x) t)
9.0ms
(* y (/ (- z x) t))

series29.0ms

Counts
3 → 9
Calls
3 calls:
11.0ms
(+ x (* y (/ (- z x) t)))
6.0ms
(/ (- z x) t)
12.0ms
(* y (/ (- z x) t))

simplify54.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
05894889

prune108.0ms

Filtered
65 candidates to 96 candidates (-47.7%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New89796
Fresh011
Picked011
Done000
Total89998

Merged error: 0.0b

Counts
98 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
0.6b
(cbrt t)
1.7b
(* y (* (cbrt (- z x)) (/ (cbrt (- z x)) (* (cbrt t) (cbrt t)))))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
18×add-exp-log
11×add-cbrt-cube
9×pow1 cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity prod-exp cbrt-unprod
6×associate-*r/
4×cbrt-div add-log-exp
3×pow1/3 associate-*l* pow-prod-down
2×cbrt-undiv frac-times flip3-- div-exp associate-*l/ flip--
1×associate-*r* *-commutative
Counts
4 → 60
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
1.0ms
(cbrt t)
15.0ms
(* y (* (cbrt (- z x)) (/ (cbrt (- z x)) (* (cbrt t) (cbrt t)))))

series118.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt t)
21.0ms
(cbrt t)
22.0ms
(cbrt t)
53.0ms
(* y (* (cbrt (- z x)) (/ (cbrt (- z x)) (* (cbrt t) (cbrt t)))))

simplify47.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
04918623
14918623

prune86.0ms

Filtered
49 candidates to 72 candidates (-46.9%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New72072
Fresh077
Picked011
Done011
Total72981

Merged error: 0.0b

Counts
81 → 9

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* y (* (- z x) (/ 1 t))))
0.3b
(* (- z x) (/ 1 t))
5.7b
(* y (* (- z x) (/ 1 t)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
27×add-exp-log
21×add-sqr-sqrt
17×add-cbrt-cube
15×*-un-lft-identity
14×associate-*r*
13×prod-exp
12×add-cube-cbrt
11×times-frac
10×pow1
8×associate-*r/ associate-*l*
7×cbrt-unprod
5×add-log-exp
4×frac-times flip3-- div-exp pow-prod-down associate-*l/ flip--
3×unswap-sqr
2×cbrt-undiv rec-exp 1-exp un-div-inv *-commutative
1×+-commutative flip3-+ sum-log flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
3 → 81
Calls
3 calls:
4.0ms
(+ x (* y (* (- z x) (/ 1 t))))
10.0ms
(* (- z x) (/ 1 t))
10.0ms
(* y (* (- z x) (/ 1 t)))

series31.0ms

Counts
3 → 9
Calls
3 calls:
11.0ms
(+ x (* y (* (- z x) (/ 1 t))))
6.0ms
(* (- z x) (/ 1 t))
14.0ms
(* y (* (- z x) (/ 1 t)))

simplify48.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
05241760

prune87.0ms

Filtered
55 candidates to 90 candidates (-63.6%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New89190
Fresh156
Picked011
Done022
Total90999

Merged error: 0.0b

Counts
99 → 9

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
2.6b
(* (/ (- z x) t) (cbrt y))
3.3b
(* (* (cbrt y) (cbrt y)) (* (/ (- z x) t) (cbrt y)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt
30×add-exp-log
23×*-un-lft-identity
20×associate-*l*
18×pow1 add-cbrt-cube
17×add-cube-cbrt times-frac
15×prod-exp cbrt-unprod
11×cbrt-prod
9×pow-prod-down
7×associate-*r*
4×add-log-exp unswap-sqr
3×cbrt-undiv div-exp distribute-lft-out-- difference-of-squares
2×pow1/3 associate-*l/ *-commutative
1×associate-*r/ div-inv
Counts
4 → 92
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
10.0ms
(* (/ (- z x) t) (cbrt y))
15.0ms
(* (* (cbrt y) (cbrt y)) (* (/ (- z x) t) (cbrt y)))

series115.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt y)
26.0ms
(cbrt y)
49.0ms
(* (/ (- z x) t) (cbrt y))
17.0ms
(* (* (cbrt y) (cbrt y)) (* (/ (- z x) t) (cbrt y)))

simplify52.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
05098805

prune73.0ms

Filtered
65 candidates to 104 candidates (-60.0%)
Pruning

10 alts after pruning (6 fresh and 4 done)

PrunedKeptTotal
New1031104
Fresh055
Picked011
Done033
Total10310113

Merged error: 0.0b

Counts
113 → 10

regimes425.0ms

Accuracy

46.8% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 1.7b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03443
13443

end0.0ms

sample564.0ms

Algorithm
intervals
Results
251.0ms8000×body80valid
67.0ms2170×body80invalid

Profiling

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