Details

Time bar (total: 3.4s)

analyze934.0ms

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
0%99.8%0.2%9
4.7%95.1%0.2%10
12.7%87.1%0.2%11
15.9%83.9%0.2%12
18.4%81.3%0.2%13
29.5%70.3%0.2%14

sample23.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
1.0ms16×body80invalid

simplify126.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (124.0ms)

IterNodesCost
0478611
1478611

prune13.0ms

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: 0.0b

Counts
2 → 2

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* (- y z) (/ t (- a z))))
0.0b
(/ t (- a z))
11.3b
(* (- y z) (/ t (- a z)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
39×*-un-lft-identity
31×times-frac
23×add-cube-cbrt
21×associate-*r*
10×add-exp-log add-cbrt-cube
8×distribute-lft-out-- difference-of-squares
5×pow1 associate-*l* associate-/r* add-log-exp
4×flip3-- associate-/r/ flip--
3×associate-/l*
2×cbrt-undiv frac-times div-exp associate-*l/ prod-exp cbrt-unprod div-inv unswap-sqr
1×+-commutative frac-2neg flip3-+ associate-*r/ pow-prod-down clear-num sum-log *-commutative flip-+
Counts
3 → 94
Calls
3 calls:
3.0ms
(+ x (* (- y z) (/ t (- a z))))
9.0ms
(/ t (- a z))
13.0ms
(* (- y z) (/ t (- a z)))

series47.0ms

Counts
3 → 9
Calls
3 calls:
25.0ms
(+ x (* (- y z) (/ t (- a z))))
7.0ms
(/ t (- a z))
15.0ms
(* (- y z) (/ t (- a z)))

simplify62.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
049781059
149781059

prune114.0ms

Filtered
75 candidates to 103 candidates (-37.3%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New985103
Fresh011
Picked011
Done000
Total987105

Merged error: 0.0b

Counts
105 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- a z))
0.5b
(cbrt (- a z))
0.5b
(cbrt (- a z))
3.6b
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (- a z))))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
54×add-sqr-sqrt
38×*-un-lft-identity
36×times-frac
32×cbrt-prod
30×associate-*r*
25×add-exp-log
24×add-cube-cbrt
20×cbrt-div
18×add-cbrt-cube
17×associate-*l*
10×flip3-- associate-/r/ flip--
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp distribute-lft-out-- difference-of-squares
6×pow1 unswap-sqr
5×frac-times
4×add-log-exp
3×pow1/3 associate-*r/ associate-*l/
2×div-inv
1×pow-prod-down *-commutative
Counts
4 → 122
Calls
4 calls:
3.0ms
(cbrt (- a z))
3.0ms
(cbrt (- a z))
3.0ms
(cbrt (- a z))
29.0ms
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (- a z))))

series100.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(cbrt (- a z))
25.0ms
(cbrt (- a z))
26.0ms
(cbrt (- a z))
25.0ms
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (- a z))))

simplify47.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
053991886

prune143.0ms

Filtered
104 candidates to 134 candidates (-28.8%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1331134
Fresh055
Picked011
Done011
Total1338141

Merged error: 0b

Counts
141 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- a z))
0.5b
(cbrt (- a z))
5.2b
(* (- y z) (/ t (cbrt (- a z))))
5.6b
(/ (* (- y z) (/ t (cbrt (- a z)))) (* (cbrt (- a z)) (cbrt (- a z))))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
34×*-un-lft-identity
30×add-exp-log associate-*r*
27×times-frac
26×cbrt-prod
22×add-cube-cbrt
21×add-cbrt-cube
18×cbrt-div
13×flip3-- flip--
10×associate-/r/
9×cbrt-undiv div-exp prod-exp cbrt-unprod
8×frac-times
6×pow1 associate-*l/ distribute-lft-out-- difference-of-squares
5×associate-*l* associate-/l/
4×associate-*r/ add-log-exp
3×unswap-sqr
2×pow1/3 div-inv
1×frac-2neg pow-prod-down clear-num associate-/r* *-commutative associate-/l*
Counts
4 → 124
Calls
4 calls:
3.0ms
(cbrt (- a z))
3.0ms
(cbrt (- a z))
15.0ms
(* (- y z) (/ t (cbrt (- a z))))
21.0ms
(/ (* (- y z) (/ t (cbrt (- a z)))) (* (cbrt (- a z)) (cbrt (- a z))))

series102.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(cbrt (- a z))
25.0ms
(cbrt (- a z))
38.0ms
(* (- y z) (/ t (cbrt (- a z))))
15.0ms
(/ (* (- y z) (/ t (cbrt (- a z)))) (* (cbrt (- a z)) (cbrt (- a z))))

simplify44.0ms

Algorithm
egg-herbie
Counts
136 → 136
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
049761551
149761551

prune127.0ms

Filtered
95 candidates to 136 candidates (-43.2%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1342136
Fresh415
Picked011
Done022
Total1386144

Merged error: 0b

Counts
144 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- a z) t)
0.0b
(+ x (/ (- y z) (/ (- a z) t)))
11.5b
(/ (- y z) (/ (- a z) t))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
200×times-frac
173×*-un-lft-identity
171×add-sqr-sqrt
87×add-cube-cbrt
42×distribute-lft-out-- difference-of-squares
22×associate-/r*
10×add-exp-log add-cbrt-cube associate-/l*
8×div-inv
5×add-log-exp
4×cbrt-undiv div-exp associate-/l/
3×pow1 div-sub
2×flip3-- frac-2neg clear-num flip--
1×+-commutative associate-+r- flip3-+ sum-log associate-/r/ flip-+ distribute-lft-out
Counts
3 → 188
Calls
3 calls:
5.0ms
(/ (- a z) t)
26.0ms
(+ x (/ (- y z) (/ (- a z) t)))
11.0ms
(/ (- y z) (/ (- a z) t))

series51.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(/ (- a z) t)
25.0ms
(+ x (/ (- y z) (/ (- a z) t)))
21.0ms
(/ (- y z) (/ (- a z) t))

simplify56.0ms

Algorithm
egg-herbie
Counts
197 → 197
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
055753054

prune137.0ms

Filtered
134 candidates to 197 candidates (-47.0%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1961197
Fresh112
Picked011
Done213
Total1994203

Merged error: 0b

Counts
203 → 4

regimes429.0ms

Accuracy

0% (1.1b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 1.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02411
12411

end0.0ms

sample605.0ms

Algorithm
intervals
Results
306.0ms8000×body80valid
26.0ms733×body80invalid

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