Details

Time bar (total: 2.1s)

analyze376.0ms

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

sample16.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
1.0ms20×body80invalid

simplify13.0ms

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

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

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) (* (- x 1.0) z))
6.0ms
(* (- x 1.0) z)

series11.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(+ (* x y) (* (- x 1.0) z))
4.0ms
(* (- x 1.0) z)

simplify40.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
05186345

prune51.0ms

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

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New36339
Fresh000
Picked011
Done000
Total36440

Merged error: 0.0b

Counts
40 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt z) (cbrt z))
0.5b
(cbrt z)
0.5b
(cbrt z)
0.5b
(cbrt z)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
5.0ms
(* (cbrt z) (cbrt z))
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series97.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(* (cbrt z) (cbrt z))
20.0ms
(cbrt z)
23.0ms
(cbrt z)
21.0ms
(cbrt z)

simplify59.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
05165356

prune86.0ms

Filtered
56 candidates to 85 candidates (-51.8%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New84185
Fresh022
Picked011
Done011
Total84589

Merged error: 0b

Counts
89 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt z)
0.6b
(cbrt (cbrt z))
0.6b
(cbrt (cbrt z))
0.9b
(pow (cbrt (cbrt z)) 4)

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
30×cbrt-prod
13×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×unpow-prod-down
5×pow1 add-exp-log
4×pow1/3 add-cbrt-cube add-log-exp
3×pow-unpow
2×pow-pow
1×pow-to-exp pow-exp sqr-pow
Counts
4 → 63
Calls
4 calls:
1.0ms
(cbrt z)
2.0ms
(cbrt (cbrt z))
2.0ms
(cbrt (cbrt z))
3.0ms
(pow (cbrt (cbrt z)) 4)

series121.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt z)
29.0ms
(cbrt (cbrt z))
31.0ms
(cbrt (cbrt z))
39.0ms
(pow (cbrt (cbrt z)) 4)

simplify58.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
04864404
14864404

prune103.0ms

Filtered
50 candidates to 75 candidates (-50.0%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New75075
Fresh022
Picked011
Done022
Total75580

Merged error: 0b

Counts
80 → 5

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x y) (/ (* z (- (pow x 3) (pow 1.0 3))) (+ (* x x) (+ (* 1.0 1.0) (* x 1.0)))))
0.0b
(+ (* x x) (+ (* 1.0 1.0) (* x 1.0)))
2.2b
(* z (- (pow x 3) (pow 1.0 3)))
10.6b
(/ (* z (- (pow x 3) (pow 1.0 3))) (+ (* x x) (+ (* 1.0 1.0) (* x 1.0))))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
34×add-sqr-sqrt
25×associate-*r*
18×*-un-lft-identity
16×difference-of-squares
12×unpow-prod-down cube-prod
11×add-exp-log add-cbrt-cube add-log-exp
8×add-cube-cbrt sqr-pow
6×pow1
5×distribute-lft-out--
4×associate-*r/ sum-log
3×flip3-+ times-frac associate-*l* associate-/r* flip-+
2×cbrt-undiv +-commutative sub-neg flip3-- div-exp prod-exp associate-/r/ flip-- cbrt-unprod associate-/l/
1×difference-cubes distribute-rgt-in associate-+r+ frac-2neg distribute-lft-in pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
4 → 93
Calls
4 calls:
12.0ms
(+ (* x y) (/ (* z (- (pow x 3) (pow 1.0 3))) (+ (* x x) (+ (* 1.0 1.0) (* x 1.0)))))
6.0ms
(+ (* x x) (+ (* 1.0 1.0) (* x 1.0)))
18.0ms
(* z (- (pow x 3) (pow 1.0 3)))
20.0ms
(/ (* z (- (pow x 3) (pow 1.0 3))) (+ (* x x) (+ (* 1.0 1.0) (* x 1.0))))

series69.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(+ (* x y) (/ (* z (- (pow x 3) (pow 1.0 3))) (+ (* x x) (+ (* 1.0 1.0) (* x 1.0)))))
3.0ms
(+ (* x x) (+ (* 1.0 1.0) (* x 1.0)))
12.0ms
(* z (- (pow x 3) (pow 1.0 3)))
30.0ms
(/ (* z (- (pow x 3) (pow 1.0 3))) (+ (* x x) (+ (* 1.0 1.0) (* x 1.0))))

simplify47.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
049701574
149701574

prune172.0ms

Filtered
72 candidates to 105 candidates (-45.8%)
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New1050105
Fresh011
Picked011
Done033
Total1055110

Merged error: 0b

Counts
110 → 5

regimes208.0ms

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 (1.0ms)

IterNodesCost
0219
1219

end0.0ms

sample437.0ms

Algorithm
intervals
Results
240.0ms8000×body80valid
19.0ms671×body80invalid

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