Details

Time bar (total: 1.7s)

analyze295.0ms

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
37.4%62.4%0.1%8
40.6%57.7%1.7%9
45.2%51.1%3.7%10
57.7%33.5%8.7%11
59.7%29.4%10.9%12
62%25%13%13
68.3%17.4%14.4%14

sample19.0ms

Algorithm
intervals
Results
7.0ms234×body80valid
1.0ms10×body320valid
1.0ms20×body80invalid
0.0ms4×body640valid
0.0ms3×body1280valid
0.0ms5×body160valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0427
1427

prune9.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3))
0.0b
(+ (* d1 3.0) (* d1 d2))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
9×add-log-exp
4×sum-log
3×distribute-lft-out
2×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ add-cbrt-cube flip-+
1×associate-+l+
Counts
2 → 26
Calls
2 calls:
6.0ms
(+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3))
4.0ms
(+ (* d1 3.0) (* d1 d2))

series13.0ms

Counts
2 → 6
Calls
2 calls:
8.0ms
(+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3))
5.0ms
(+ (* d1 3.0) (* d1 d2))

simplify34.0ms

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
05072283

prune54.0ms

Filtered
22 candidates to 32 candidates (-45.5%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New27532
Fresh101
Picked011
Done000
Total28634

Merged error: 0.0b

Counts
34 → 6

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* d1 (+ 3.0 d2))
0.0b
(+ (* d1 (+ 3.0 d2)) (* d1 d3))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt *-un-lft-identity
4×pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube add-log-exp
3×associate-*l*
2×distribute-rgt-in associate-+l+ distribute-lft-in flip3-+ associate-*r/ flip-+ distribute-lft-out
1×+-commutative pow-prod-down prod-exp sum-log *-commutative cbrt-unprod unswap-sqr
Counts
2 → 37
Calls
2 calls:
5.0ms
(* d1 (+ 3.0 d2))
6.0ms
(+ (* d1 (+ 3.0 d2)) (* d1 d3))

series12.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(* d1 (+ 3.0 d2))
8.0ms
(+ (* d1 (+ 3.0 d2)) (* d1 d3))

simplify46.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
04987327
14987327

prune52.0ms

Filtered
25 candidates to 43 candidates (-72.0%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New40343
Fresh404
Picked011
Done101
Total45449

Merged error: 0b

Counts
49 → 4

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ (* d1 (- (* 3.0 3.0) (* d2 d2))) (- 3.0 d2)) (* d1 d3))
1.7b
(* d1 (- (* 3.0 3.0) (* d2 d2)))
8.8b
(/ (* d1 (- (* 3.0 3.0) (* d2 d2))) (- 3.0 d2))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
11×*-un-lft-identity
10×add-exp-log add-cbrt-cube
7×add-cube-cbrt
5×pow1 times-frac associate-/r* add-log-exp
4×associate-*r/ associate-*r*
3×flip3-- associate-*l* flip-- difference-of-squares
2×cbrt-undiv sub-neg div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/ distribute-lft-out--
1×+-commutative distribute-rgt-in frac-2neg distribute-lft-in flip3-+ pow-prod-down clear-num sum-log *-commutative flip-+ div-inv associate-/l* unswap-sqr
Counts
3 → 63
Calls
3 calls:
10.0ms
(+ (/ (* d1 (- (* 3.0 3.0) (* d2 d2))) (- 3.0 d2)) (* d1 d3))
6.0ms
(* d1 (- (* 3.0 3.0) (* d2 d2)))
9.0ms
(/ (* d1 (- (* 3.0 3.0) (* d2 d2))) (- 3.0 d2))

series46.0ms

Counts
3 → 9
Calls
3 calls:
21.0ms
(+ (/ (* d1 (- (* 3.0 3.0) (* d2 d2))) (- 3.0 d2)) (* d1 d3))
10.0ms
(* d1 (- (* 3.0 3.0) (* d2 d2)))
14.0ms
(/ (* d1 (- (* 3.0 3.0) (* d2 d2))) (- 3.0 d2))

simplify43.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
05061819

prune89.0ms

Filtered
53 candidates to 72 candidates (-35.8%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New72072
Fresh022
Picked011
Done011
Total72476

Merged error: 0b

Counts
76 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ 3.0 d2))
0.0b
(+ (* (* d1 (sqrt (+ 3.0 d2))) (sqrt (+ 3.0 d2))) (* d1 d3))
0.3b
(* d1 (sqrt (+ 3.0 d2)))
0.4b
(* (* d1 (sqrt (+ 3.0 d2))) (sqrt (+ 3.0 d2)))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
16×*-un-lft-identity sqrt-div
15×add-sqr-sqrt
14×associate-*r*
13×sqrt-prod
12×pow1
11×add-exp-log add-cbrt-cube
10×add-cube-cbrt associate-*r/
9×flip3-+ flip-+
6×add-log-exp
4×frac-times associate-*l* pow-prod-down prod-exp cbrt-unprod
3×distribute-lft-out
2×associate-*l/ *-commutative unswap-sqr
1×+-commutative rem-sqrt-square sqrt-pow1 pow1/2 sum-log
Counts
4 → 82
Calls
4 calls:
3.0ms
(sqrt (+ 3.0 d2))
11.0ms
(+ (* (* d1 (sqrt (+ 3.0 d2))) (sqrt (+ 3.0 d2))) (* d1 d3))
6.0ms
(* d1 (sqrt (+ 3.0 d2)))
11.0ms
(* (* d1 (sqrt (+ 3.0 d2))) (sqrt (+ 3.0 d2)))

series24.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(sqrt (+ 3.0 d2))
8.0ms
(+ (* (* d1 (sqrt (+ 3.0 d2))) (sqrt (+ 3.0 d2))) (* d1 d3))
8.0ms
(* d1 (sqrt (+ 3.0 d2)))
5.0ms
(* (* d1 (sqrt (+ 3.0 d2))) (sqrt (+ 3.0 d2)))

simplify37.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
05053964

prune114.0ms

Filtered
61 candidates to 94 candidates (-54.1%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New94094
Fresh011
Picked011
Done022
Total94498

Merged error: 0b

Counts
98 → 4

regimes150.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0129
1129

end0.0ms

sample492.0ms

Algorithm
intervals
Results
240.0ms7445×body80valid
25.0ms224×body640valid
19.0ms624×body80invalid
15.0ms153×body320valid
13.0ms90×body1280valid
5.0ms88×body160valid

Profiling

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