Details

Time bar (total: 1.7s)

analyze267.0ms

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
18.7%81.1%0.1%8
31.2%68.6%0.1%9
43.3%49.9%6.8%10
49.7%40.8%9.5%11
55.7%34%10.3%12
61.3%24.4%14.3%13
65%19.8%15.3%14

sample16.0ms

Algorithm
intervals
Results
6.0ms256×body80valid
1.0ms31×body80invalid

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (9.0ms)

IterNodesCost
03007
13007

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y x) z)
0.0b
(+ x (* (- y 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:
6.0ms
(* (- y x) z)
3.0ms
(+ x (* (- y x) z))

series14.0ms

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

simplify34.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
05046303

prune41.0ms

Filtered
27 candidates to 39 candidates (-44.4%)
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:

0.5b
(* (cbrt (+ x (* (- y x) z))) (cbrt (+ x (* (- y x) z))))
0.5b
(cbrt (+ x (* (- y x) z)))
0.5b
(cbrt (+ x (* (- y x) z)))
0.5b
(cbrt (+ x (* (- y x) z)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-+ pow1/3 flip-+
6×add-exp-log swap-sqr associate-*r* associate-*l*
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 → 87
Calls
4 calls:
8.0ms
(* (cbrt (+ x (* (- y x) z))) (cbrt (+ x (* (- y x) z))))
2.0ms
(cbrt (+ x (* (- y x) z)))
2.0ms
(cbrt (+ x (* (- y x) z)))
2.0ms
(cbrt (+ x (* (- y x) z)))

series225.0ms

Counts
4 → 12
Calls
4 calls:
92.0ms
(* (cbrt (+ x (* (- y x) z))) (cbrt (+ x (* (- y x) z))))
44.0ms
(cbrt (+ x (* (- y x) z)))
43.0ms
(cbrt (+ x (* (- y x) z)))
45.0ms
(cbrt (+ x (* (- y x) z)))

simplify65.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
051421528

prune94.0ms

Filtered
74 candidates to 99 candidates (-33.8%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New99099
Fresh011
Picked011
Done011
Total993102

Merged error: 0.0b

Counts
102 → 3

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* (sqrt (- y x)) (* z (sqrt (- y x)))))
0.1b
(* z (sqrt (- y x)))
0.2b
(* (sqrt (- y x)) (* z (sqrt (- y x))))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
14×sqrt-div
12×*-un-lft-identity
11×associate-*l* sqrt-prod
10×pow1 add-exp-log associate-*r/ add-cbrt-cube
9×associate-*r*
8×add-cube-cbrt
7×flip3-- flip--
5×add-log-exp
4×frac-times pow-prod-down prod-exp cbrt-unprod
2×associate-*l/ *-commutative distribute-lft-out-- difference-of-squares unswap-sqr
1×+-commutative flip3-+ sum-log flip-+
Counts
3 → 68
Calls
3 calls:
3.0ms
(+ x (* (sqrt (- y x)) (* z (sqrt (- y x)))))
7.0ms
(* z (sqrt (- y x)))
12.0ms
(* (sqrt (- y x)) (* z (sqrt (- y x))))

series29.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(+ x (* (sqrt (- y x)) (* z (sqrt (- y x)))))
15.0ms
(* z (sqrt (- y x)))
6.0ms
(* (sqrt (- y x)) (* z (sqrt (- y x))))

simplify29.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 0 (23.0ms)

IterNodesCost
05096737

prune66.0ms

Filtered
52 candidates to 77 candidates (-48.1%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New76177
Fresh000
Picked011
Done022
Total76480

Merged error: 0b

Counts
80 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (/ (* z (- (* y y) (* x x))) (+ y x)))
2.5b
(- (* y y) (* x x))
10.0b
(* z (- (* y y) (* x x)))
18.6b
(/ (* z (- (* y y) (* x x))) (+ y x))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
14×*-un-lft-identity
11×add-exp-log add-cbrt-cube
10×add-sqr-sqrt
8×add-cube-cbrt add-log-exp
6×pow1
4×times-frac associate-*r/ associate-*r* associate-/r*
3×sub-neg flip3-- associate-*l* flip-- distribute-lft-out
2×cbrt-undiv flip3-+ div-exp prod-exp associate-/r/ cbrt-unprod flip-+ associate-/l/ difference-of-squares
1×+-commutative distribute-rgt-in frac-2neg distribute-lft-in diff-log pow-prod-down clear-num sum-log *-commutative div-inv associate-/l* unswap-sqr
Counts
4 → 74
Calls
4 calls:
6.0ms
(+ x (/ (* z (- (* y y) (* x x))) (+ y x)))
4.0ms
(- (* y y) (* x x))
6.0ms
(* z (- (* y y) (* x x)))
9.0ms
(/ (* z (- (* y y) (* x x))) (+ y x))

series57.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(+ x (/ (* z (- (* y y) (* x x))) (+ y x)))
5.0ms
(- (* y y) (* x x))
15.0ms
(* z (- (* y y) (* x x)))
19.0ms
(/ (* z (- (* y y) (* x x))) (+ y x))

simplify25.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 0 (18.0ms)

IterNodesCost
05093891

prune72.0ms

Filtered
60 candidates to 86 candidates (-43.3%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New86086
Fresh000
Picked011
Done033
Total86490

Merged error: 0b

Counts
90 → 4

regimes176.0ms

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
0187
1187

end0.0ms

sample367.0ms

Algorithm
intervals
Results
177.0ms8000×body80valid
15.0ms607×body80invalid

Profiling

Loading profile data...