Details

Time bar (total: 3.9s)

analyze628.0ms

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

sample27.0ms

Algorithm
intervals
Results
12.0ms256×body80valid
2.0ms71×body80invalid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
0679
1679

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

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (* y (- z x)) t))
0.0b
(* y (- z x))
5.5b
(/ (* y (- z x)) t)

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-un-lft-identity
10×add-exp-log add-cbrt-cube
7×add-cube-cbrt
5×pow1 associate-*r* add-log-exp
4×associate-*r/
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv sub-neg flip3-- div-exp prod-exp flip-- cbrt-unprod associate-/l/
1×+-commutative distribute-rgt-in frac-2neg distribute-lft-in flip3-+ pow-prod-down clear-num sum-log *-commutative flip-+ div-inv distribute-lft-out associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 59
Calls
3 calls:
4.0ms
(+ x (/ (* y (- z x)) t))
6.0ms
(* y (- z x))
7.0ms
(/ (* y (- z x)) t)

series29.0ms

Counts
3 → 9
Calls
3 calls:
10.0ms
(+ x (/ (* y (- z x)) t))
7.0ms
(* y (- z x))
11.0ms
(/ (* y (- z x)) t)

simplify45.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
06219575

prune91.0ms

Filtered
45 candidates to 68 candidates (-51.1%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New61768
Fresh011
Picked011
Done000
Total61970

Merged error: 0b

Counts
70 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
1.7b
(/ (* (- z x) (/ y (* (cbrt t) (cbrt t)))) (cbrt t))
4.4b
(* (- z x) (/ y (* (cbrt t) (cbrt t))))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
27×add-exp-log
19×add-sqr-sqrt add-cbrt-cube
15×*-un-lft-identity
13×add-cube-cbrt
12×cbrt-prod
10×times-frac
8×cbrt-undiv div-exp prod-exp cbrt-unprod
7×associate-*r*
6×pow1 associate-/r*
5×associate-*l* associate-/l/
4×frac-times flip3-- associate-*l/ flip-- add-log-exp
2×pow1/3 associate-*r/ div-inv unswap-sqr
1×frac-2neg pow-prod-down clear-num *-commutative associate-/l* distribute-lft-out-- difference-of-squares
Counts
4 → 92
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
14.0ms
(/ (* (- z x) (/ y (* (cbrt t) (cbrt t)))) (cbrt t))
11.0ms
(* (- z x) (/ y (* (cbrt t) (cbrt t))))

series114.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt t)
24.0ms
(cbrt t)
17.0ms
(/ (* (- z x) (/ y (* (cbrt t) (cbrt t)))) (cbrt t))
52.0ms
(* (- z x) (/ y (* (cbrt t) (cbrt t))))

simplify65.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
05003922

prune123.0ms

Filtered
75 candidates to 104 candidates (-38.7%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1022104
Fresh257
Picked101
Done101
Total1067113

Merged error: 0b

Counts
113 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (/ (- z x) (/ t y)))
6.7b
(/ (- z x) (/ t y))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
119×times-frac
88×*-un-lft-identity
86×add-sqr-sqrt
58×add-cube-cbrt
14×distribute-lft-out-- difference-of-squares
13×associate-/r*
7×add-exp-log add-cbrt-cube div-inv
5×associate-/l*
4×add-log-exp
3×cbrt-undiv div-exp
2×pow1 div-sub associate-/l/
1×+-commutative associate-+r- flip3-- frac-2neg flip3-+ clear-num sum-log associate-/r/ flip-- flip-+ distribute-lft-out
Counts
2 → 114
Calls
2 calls:
21.0ms
(+ x (/ (- z x) (/ t y)))
8.0ms
(/ (- z x) (/ t y))

series23.0ms

Counts
2 → 6
Calls
2 calls:
11.0ms
(+ x (/ (- z x) (/ t y)))
12.0ms
(/ (- z x) (/ t y))

simplify42.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
050601678

prune105.0ms

Filtered
85 candidates to 120 candidates (-41.2%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1200120
Fresh066
Picked011
Done000
Total1207127

Merged error: 0b

Counts
127 → 7

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*r*
12×*-un-lft-identity
10×add-cube-cbrt times-frac
7×add-exp-log add-cbrt-cube
5×associate-*l*
4×pow1 add-log-exp
2×frac-times flip3-- associate-*l/ prod-exp flip-- cbrt-unprod unswap-sqr
1×cbrt-undiv +-commutative flip3-+ associate-*r/ div-exp pow-prod-down sum-log *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 49
Calls
2 calls:
3.0ms
(+ x (* (- z x) (/ y t)))
10.0ms
(* (- z x) (/ y t))

series24.0ms

Counts
2 → 6
Calls
2 calls:
13.0ms
(+ x (* (- z x) (/ y t)))
11.0ms
(* (- z x) (/ y t))

simplify46.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
05016557

prune44.0ms

Filtered
39 candidates to 55 candidates (-41.0%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New55055
Fresh055
Picked011
Done011
Total55762

Merged error: 0b

Counts
62 → 7

regimes291.0ms

Accuracy

-6.1% (2.0b remaining)

Error of 2.0b against oracle of 0.0b and baseline of 1.9b

bsearch811.0ms

Steps
ItersRangePoint
7
1.6902985527457412e-242
3.48488379105677e-241
9.027701986314331e-242
7
-1.3068823766853051e-225
-5.346302762428816e-228
-1.057502676775945e-226

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02834
12834

end0.0ms

analyze622.0ms

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

sample580.0ms

Algorithm
intervals
Results
257.0ms8000×body80valid
67.0ms2091×body80invalid

Profiling

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