Details

Time bar (total: 3.0s)

analyze287.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
6.2%93.6%0.1%6
15.6%84.3%0.1%7
29.6%70.2%0.1%8
33.5%63.2%3.3%9
43.3%49.5%7.2%10
52.1%39.2%8.7%11
54.5%34.2%11.3%12
60.6%25.6%13.8%13
65.2%20.4%14.4%14

sample17.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
1.0ms30×body80invalid

simplify12.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (11.0ms)

IterNodesCost
03459
13459

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x y) (* (- 1.0 x) z))
0.0b
(* (- 1.0 x) z)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
6×*-un-lft-identity
5×associate-*l*
4×pow1 add-exp-log add-cube-cbrt add-cbrt-cube add-log-exp
3×associate-*r*
2×associate-*l/
1×+-commutative flip3-- flip3-+ pow-prod-down prod-exp sum-log *-commutative flip-- cbrt-unprod flip-+ distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 33
Calls
2 calls:
4.0ms
(+ (* x y) (* (- 1.0 x) z))
6.0ms
(* (- 1.0 x) z)

series12.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(+ (* x y) (* (- 1.0 x) z))
5.0ms
(* (- 1.0 x) z)

simplify40.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
05197345

prune62.0ms

Filtered
26 candidates to 39 candidates (-50.0%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New37239
Fresh000
Picked011
Done000
Total37340

Merged error: 0.0b

Counts
40 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(* z (+ 1.0 x))
0.0b
(+ (* x y) (/ (* (- 1.0 x) (* z (+ 1.0 x))) (+ 1.0 x)))
0.1b
(* (- 1.0 x) (* z (+ 1.0 x)))
7.5b
(/ (* (- 1.0 x) (* z (+ 1.0 x))) (+ 1.0 x))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
20×add-exp-log add-cbrt-cube
18×associate-*r/
17×*-un-lft-identity
13×add-sqr-sqrt
11×pow1
9×add-cube-cbrt flip3-+ flip-+
8×frac-times associate-*l* associate-/l/
7×prod-exp cbrt-unprod
6×flip3-- flip-- add-log-exp
5×distribute-rgt-in distribute-lft-in associate-*r*
4×times-frac pow-prod-down associate-*l/ associate-/r*
3×cbrt-undiv div-exp distribute-lft-out
2×associate-/r/ *-commutative
1×+-commutative frac-2neg clear-num sum-log div-inv associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 101
Calls
4 calls:
10.0ms
(* z (+ 1.0 x))
14.0ms
(+ (* x y) (/ (* (- 1.0 x) (* z (+ 1.0 x))) (+ 1.0 x)))
10.0ms
(* (- 1.0 x) (* z (+ 1.0 x)))
14.0ms
(/ (* (- 1.0 x) (* z (+ 1.0 x))) (+ 1.0 x))

series42.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(* z (+ 1.0 x))
13.0ms
(+ (* x y) (/ (* (- 1.0 x) (* z (+ 1.0 x))) (+ 1.0 x)))
12.0ms
(* (- 1.0 x) (* z (+ 1.0 x)))
8.0ms
(/ (* (- 1.0 x) (* z (+ 1.0 x))) (+ 1.0 x))

simplify57.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
049791149
149791149

prune127.0ms

Filtered
74 candidates to 113 candidates (-52.7%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1112113
Fresh101
Picked101
Done011
Total1133116

Merged error: 0b

Counts
116 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x y) (* (* (- 1.0 x) (* z (+ 1.0 x))) (/ 1 (+ 1.0 x))))
0.0b
(/ 1 (+ 1.0 x))
0.1b
(* (- 1.0 x) (* z (+ 1.0 x)))
7.6b
(* (* (- 1.0 x) (* z (+ 1.0 x))) (/ 1 (+ 1.0 x)))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
52×add-exp-log
38×*-un-lft-identity
32×add-cbrt-cube
27×prod-exp
25×associate-*r/
24×add-sqr-sqrt times-frac
22×add-cube-cbrt
20×frac-times
19×pow1 associate-*r*
15×cbrt-unprod
14×associate-*l/
12×flip3-+ flip-+
9×flip3-- pow-prod-down flip--
8×div-exp
7×distribute-lft-out
6×associate-*l* add-log-exp
4×cbrt-undiv distribute-rgt-in rec-exp distribute-lft-in 1-exp associate-/r* associate-/r/
3×associate-/l*
2×*-commutative div-inv
1×+-commutative pow-flip frac-2neg clear-num sum-log un-div-inv distribute-lft-out-- inv-pow difference-of-squares
Counts
4 → 146
Calls
4 calls:
5.0ms
(+ (* x y) (* (* (- 1.0 x) (* z (+ 1.0 x))) (/ 1 (+ 1.0 x))))
5.0ms
(/ 1 (+ 1.0 x))
9.0ms
(* (- 1.0 x) (* z (+ 1.0 x)))
17.0ms
(* (* (- 1.0 x) (* z (+ 1.0 x))) (/ 1 (+ 1.0 x)))

series21.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(+ (* x y) (* (* (- 1.0 x) (* z (+ 1.0 x))) (/ 1 (+ 1.0 x))))
2.0ms
(/ 1 (+ 1.0 x))
7.0ms
(* (- 1.0 x) (* z (+ 1.0 x)))
5.0ms
(* (* (- 1.0 x) (* z (+ 1.0 x))) (/ 1 (+ 1.0 x)))

simplify52.0ms

Algorithm
egg-herbie
Counts
158 → 158
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
054431732

prune156.0ms

Filtered
91 candidates to 158 candidates (-73.6%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1580158
Fresh011
Picked011
Done011
Total1583161

Merged error: 0b

Counts
161 → 3

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (- 1.0 x) (* (- 1.0 x) (* (+ 1.0 x) (* z (+ 1.0 x)))))
0.1b
(* (+ 1.0 x) (* z (+ 1.0 x)))
7.5b
(/ (/ (* (- 1.0 x) (* (- 1.0 x) (* (+ 1.0 x) (* z (+ 1.0 x))))) (- (* 1.0 1.0) (* x x))) (+ 1.0 x))
11.0b
(/ (* (- 1.0 x) (* (- 1.0 x) (* (+ 1.0 x) (* z (+ 1.0 x))))) (- (* 1.0 1.0) (* x x)))

rewrite120.0ms

Algorithm
rewrite-expression-head
Rules
276×frac-times
252×associate-*r/
115×flip3-+ flip-+
114×flip3-- flip--
81×associate-/l/
70×add-exp-log add-cbrt-cube
64×times-frac
55×*-un-lft-identity
54×associate-*l/
36×distribute-rgt-in distribute-lft-in
33×prod-exp cbrt-unprod
31×add-sqr-sqrt
29×add-cube-cbrt
23×pow1
16×cbrt-undiv div-exp
14×associate-/r/
13×pow-prod-down
12×distribute-lft-out
11×associate-/l*
9×associate-*l*
8×associate-/r* difference-of-squares
7×div-inv
4×add-log-exp
2×frac-2neg associate-*r* clear-num *-commutative
1×distribute-lft-out--
Counts
4 → 343
Calls
4 calls:
23.0ms
(* (- 1.0 x) (* (- 1.0 x) (* (+ 1.0 x) (* z (+ 1.0 x)))))
9.0ms
(* (+ 1.0 x) (* z (+ 1.0 x)))
23.0ms
(/ (/ (* (- 1.0 x) (* (- 1.0 x) (* (+ 1.0 x) (* z (+ 1.0 x))))) (- (* 1.0 1.0) (* x x))) (+ 1.0 x))
34.0ms
(/ (* (- 1.0 x) (* (- 1.0 x) (* (+ 1.0 x) (* z (+ 1.0 x))))) (- (* 1.0 1.0) (* x x)))

series43.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(* (- 1.0 x) (* (- 1.0 x) (* (+ 1.0 x) (* z (+ 1.0 x)))))
5.0ms
(* (+ 1.0 x) (* z (+ 1.0 x)))
13.0ms
(/ (/ (* (- 1.0 x) (* (- 1.0 x) (* (+ 1.0 x) (* z (+ 1.0 x))))) (- (* 1.0 1.0) (* x x))) (+ 1.0 x))
15.0ms
(/ (* (- 1.0 x) (* (- 1.0 x) (* (+ 1.0 x) (* z (+ 1.0 x))))) (- (* 1.0 1.0) (* x x)))

simplify98.0ms

Algorithm
egg-herbie
Counts
355 → 355
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
0504210683

prune1.1s

Filtered
264 candidates to 355 candidates (-34.5%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New3550355
Fresh000
Picked011
Done022
Total3553358

Merged error: 0b

Counts
358 → 3

regimes178.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0219
1219

end0.0ms

sample456.0ms

Algorithm
intervals
Results
245.0ms8000×body80valid
23.0ms706×body80invalid

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