Details

Time bar (total: 2.2s)

analyze284.0ms

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

sample18.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
1.0ms28×body80invalid

simplify14.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (13.0ms)

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
(* (- 1.0 x) z)
0.0b
(+ (* x y) (* (- 1.0 x) 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:
6.0ms
(* (- 1.0 x) z)
4.0ms
(+ (* x y) (* (- 1.0 x) z))

series12.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(* (- 1.0 x) z)
8.0ms
(+ (* x y) (* (- 1.0 x) z))

simplify37.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
05232345

prune63.0ms

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

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New35439
Fresh000
Picked011
Done000
Total35540

Merged error: 0.0b

Counts
40 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (- 1.0 x))
0.2b
(cbrt (- 1.0 x))
0.2b
(cbrt (- 1.0 x))
0.2b
(* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
43×cbrt-prod
37×add-sqr-sqrt
35×*-un-lft-identity
18×cbrt-div
15×add-cube-cbrt
11×pow1
10×swap-sqr
9×flip3-- pow1/3 flip-- distribute-lft-out--
8×associate-*r* associate-*l*
7×difference-of-squares
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 101
Calls
4 calls:
3.0ms
(cbrt (- 1.0 x))
3.0ms
(cbrt (- 1.0 x))
3.0ms
(cbrt (- 1.0 x))
10.0ms
(* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))

series24.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(cbrt (- 1.0 x))
6.0ms
(cbrt (- 1.0 x))
6.0ms
(cbrt (- 1.0 x))
7.0ms
(* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))

simplify64.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
048601140
148601140

prune223.0ms

Filtered
77 candidates to 113 candidates (-46.8%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1130113
Fresh033
Picked011
Done011
Total1135118

Merged error: 0.0b

Counts
118 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x x) (* 1.0 x))
0.0b
(+ (* x y) (/ (* z (- (pow 1.0 3) (pow x 3))) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))))
2.6b
(* z (- (pow 1.0 3) (pow x 3)))
11.8b
(/ (* z (- (pow 1.0 3) (pow x 3))) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))

rewrite56.0ms

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
8×add-cube-cbrt add-log-exp sqr-pow
6×pow1
5×distribute-lft-out--
4×associate-*r/
3×flip3-+ times-frac associate-*l* associate-/r* flip-+
2×cbrt-undiv +-commutative sub-neg flip3-- div-exp prod-exp sum-log associate-/r/ flip-- cbrt-unprod associate-/l/
1×difference-cubes distribute-rgt-in distribute-rgt-out frac-2neg distribute-lft-in pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
4 → 92
Calls
4 calls:
4.0ms
(+ (* x x) (* 1.0 x))
12.0ms
(+ (* x y) (/ (* z (- (pow 1.0 3) (pow x 3))) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))))
16.0ms
(* z (- (pow 1.0 3) (pow x 3)))
21.0ms
(/ (* z (- (pow 1.0 3) (pow x 3))) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))

series74.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(+ (* x x) (* 1.0 x))
23.0ms
(+ (* x y) (/ (* z (- (pow 1.0 3) (pow x 3))) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))))
17.0ms
(* z (- (pow 1.0 3) (pow x 3)))
28.0ms
(/ (* z (- (pow 1.0 3) (pow x 3))) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))

simplify64.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
050351500

prune202.0ms

Filtered
71 candidates to 104 candidates (-46.5%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1040104
Fresh022
Picked011
Done022
Total1045109

Merged error: 0.0b

Counts
109 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

1.7b
(+ (* x (* x (* y y))) (* (- 1.0 x) (* z (* z (- x 1.0)))))
5.0b
(* x (* y y))
5.1b
(* x (* x (* y y)))
27.5b
(/ (+ (* x (* x (* y y))) (* (- 1.0 x) (* z (* z (- x 1.0))))) (+ (* x y) (* z (- x 1.0))))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
20×add-exp-log add-cbrt-cube
18×pow1
15×add-sqr-sqrt
14×add-cube-cbrt *-un-lft-identity
12×distribute-rgt-in distribute-lft-in
9×times-frac pow-prod-down prod-exp cbrt-unprod
8×sub-neg associate-+r+
6×associate-*l* add-log-exp
3×flip3-+ associate-/r* flip-+ associate-/l*
2×associate-*r* associate-/r/ *-commutative associate-/l/
1×cbrt-undiv +-commutative frac-2neg div-exp clear-num sum-log div-inv unswap-sqr
Counts
4 → 90
Calls
4 calls:
9.0ms
(+ (* x (* x (* y y))) (* (- 1.0 x) (* z (* z (- x 1.0)))))
5.0ms
(* x (* y y))
7.0ms
(* x (* x (* y y)))
12.0ms
(/ (+ (* x (* x (* y y))) (* (- 1.0 x) (* z (* z (- x 1.0))))) (+ (* x y) (* z (- x 1.0))))

series79.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(+ (* x (* x (* y y))) (* (- 1.0 x) (* z (* z (- x 1.0)))))
6.0ms
(* x (* y y))
6.0ms
(* x (* x (* y y)))
43.0ms
(/ (+ (* x (* x (* y y))) (* (- 1.0 x) (* z (* z (- x 1.0))))) (+ (* x y) (* z (- x 1.0))))

simplify34.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 0 (25.0ms)

IterNodesCost
056622038

prune176.0ms

Filtered
71 candidates to 102 candidates (-43.7%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1002102
Fresh101
Picked101
Done213
Total1043107

Merged error: 0b

Counts
107 → 3

regimes172.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05411
15411

end0.0ms

sample509.0ms

Algorithm
intervals
Results
278.0ms8000×body80valid
21.0ms614×body80invalid

Profiling

Loading profile data...