Details

Time bar (total: 2.3s)

analyze281.0ms

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
0%99.9%0.1%6
12.5%87.4%0.1%7
31.2%68.6%0.1%8
35.9%60.8%3.3%9
44.1%48%7.9%10
54.8%36.9%8.3%11
57.6%31.5%10.9%12
61.9%24%14.1%13
67.2%18.6%14.2%14

sample16.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
1.0ms24×body80invalid

simplify27.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (25.0ms)

IterNodesCost
07339
17339

prune6.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 3.1b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- 1.0 y) z)
2.9b
(* x (- 1.0 (* (- 1.0 y) z)))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
8×*-un-lft-identity associate-*l*
6×pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube
2×sub-neg flip3-- associate-*r/ pow-prod-down associate-*l/ prod-exp *-commutative flip-- cbrt-unprod add-log-exp unswap-sqr
1×distribute-rgt-in distribute-lft-in distribute-lft-out-- difference-of-squares
Counts
2 → 44
Calls
2 calls:
8.0ms
(* (- 1.0 y) z)
5.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

series15.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(* (- 1.0 y) z)
11.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

simplify32.0ms

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 0 (28.0ms)

IterNodesCost
04969430
14969430

prune87.0ms

Filtered
36 candidates to 50 candidates (-38.9%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New41950
Fresh000
Picked011
Done000
Total411051

Merged error: 2.9b

Counts
51 → 10

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
2.9b
(* x (- 1.0 (* (* (- 1.0 y) (* (cbrt z) (cbrt z))) (cbrt z))))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
9×cbrt-prod add-cube-cbrt *-un-lft-identity
6×pow1 add-exp-log add-cbrt-cube
4×add-log-exp
3×pow1/3 associate-*r* associate-*l*
2×sub-neg associate-*r/
1×distribute-rgt-in flip3-- distribute-lft-in pow-prod-down prod-exp *-commutative flip-- cbrt-unprod unswap-sqr
Counts
4 → 55
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
5.0ms
(* x (- 1.0 (* (* (- 1.0 y) (* (cbrt z) (cbrt z))) (cbrt z))))

series80.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(cbrt z)
20.0ms
(cbrt z)
20.0ms
(cbrt z)
16.0ms
(* x (- 1.0 (* (* (- 1.0 y) (* (cbrt z) (cbrt z))) (cbrt z))))

simplify46.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
05004421

prune83.0ms

Filtered
44 candidates to 67 candidates (-52.3%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New67067
Fresh088
Picked011
Done011
Total671077

Merged error: 2.9b

Counts
77 → 10

localize14.0ms

Local error

Found 4 expressions with local error:

0.4b
(* x (* (cbrt (+ 1.0 (* z (- y 1.0)))) (cbrt (+ 1.0 (* z (- y 1.0))))))
3.1b
(cbrt (+ 1.0 (* z (- y 1.0))))
3.1b
(cbrt (+ 1.0 (* z (- y 1.0))))
3.1b
(cbrt (- 1.0 (* (- 1.0 y) z)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-div
10×associate-*r/
9×pow1 add-exp-log cbrt-prod add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity flip3-+ flip-+
7×add-cbrt-cube
4×frac-times add-log-exp
3×pow1/3 associate-*l* pow-prod-down prod-exp cbrt-unprod
2×associate-*l/
1×flip3-- associate-*r* *-commutative flip-- unswap-sqr
Counts
4 → 66
Calls
4 calls:
10.0ms
(* x (* (cbrt (+ 1.0 (* z (- y 1.0)))) (cbrt (+ 1.0 (* z (- y 1.0))))))
2.0ms
(cbrt (+ 1.0 (* z (- y 1.0))))
4.0ms
(cbrt (+ 1.0 (* z (- y 1.0))))
2.0ms
(cbrt (- 1.0 (* (- 1.0 y) z)))

series105.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(* x (* (cbrt (+ 1.0 (* z (- y 1.0)))) (cbrt (+ 1.0 (* z (- y 1.0))))))
18.0ms
(cbrt (+ 1.0 (* z (- y 1.0))))
18.0ms
(cbrt (+ 1.0 (* z (- y 1.0))))
18.0ms
(cbrt (- 1.0 (* (- 1.0 y) z)))

simplify58.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
049511344
149511344

prune207.0ms

Filtered
69 candidates to 78 candidates (-13.0%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New78078
Fresh077
Picked011
Done022
Total781088

Merged error: 2.9b

Counts
88 → 10

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.8b
(* (+ 1.0 (* z (- y 1.0))) (cbrt x))
2.4b
(* (* (cbrt x) (cbrt x)) (* (+ 1.0 (* z (- y 1.0))) (cbrt x)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-exp-log
13×add-sqr-sqrt
11×add-cbrt-cube
10×cbrt-prod
9×add-cube-cbrt *-un-lft-identity pow-prod-down prod-exp cbrt-unprod
7×associate-*r*
4×associate-*l* associate-*l/ add-log-exp
2×flip3-+ pow1/3 associate-*r/ *-commutative flip-+ unswap-sqr
Counts
4 → 70
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
6.0ms
(* (+ 1.0 (* z (- y 1.0))) (cbrt x))
10.0ms
(* (* (cbrt x) (cbrt x)) (* (+ 1.0 (* z (- y 1.0))) (cbrt x)))

series79.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(cbrt x)
20.0ms
(cbrt x)
25.0ms
(* (+ 1.0 (* z (- y 1.0))) (cbrt x))
13.0ms
(* (* (cbrt x) (cbrt x)) (* (+ 1.0 (* z (- y 1.0))) (cbrt x)))

simplify32.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 0 (26.0ms)

IterNodesCost
05007729

prune71.0ms

Filtered
52 candidates to 82 candidates (-57.7%)
Pruning

11 alts after pruning (7 fresh and 4 done)

PrunedKeptTotal
New81182
Fresh066
Picked011
Done033
Total811192

Merged error: 2.9b

Counts
92 → 11

regimes557.0ms

Accuracy

0% (0.2b remaining)

Error of 3.2b against oracle of 3.0b and baseline of 3.2b

bsearch0.0ms

simplify6.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (6.0ms)

IterNodesCost
02039
12039

end0.0ms

sample419.0ms

Algorithm
intervals
Results
228.0ms8000×body80valid
18.0ms656×body80invalid

Profiling

Loading profile data...