Details

Time bar (total: 1.4s)

analyze70.0ms

Algorithm
search

sample15.0ms

Algorithm
intervals
Results
7.0ms250×body80valid
0.0msbody640valid
0.0msbody1280valid

simplify8.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
0184
1343
2523
3603
4603

prune8.0ms

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: 0.0b

Counts
2 → 2

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(* d1 (+ (+ 10.0 d2) 20.0))
0.0b
(+ (+ 10.0 d2) 20.0)

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
14×*-un-lft-identity
add-log-exp
add-sqr-sqrt distribute-lft-out
associate-*r*
pow1 add-exp-log add-cube-cbrt add-cbrt-cube
associate-*l* sum-log
flip3-+ associate-*r/ flip-+
+-commutative distribute-rgt-in associate-+l+ distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 39
Calls
2 calls:
7.0ms
(* d1 (+ (+ 10.0 d2) 20.0))
5.0ms
(+ (+ 10.0 d2) 20.0)

series10.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(* d1 (+ (+ 10.0 d2) 20.0))
2.0ms
(+ (+ 10.0 d2) 20.0)

simplify88.0ms

Algorithm
egg-herbie
Counts
45 → 45
Iterations

Useful iterations: 2 (23.0ms)

IterNodesCost
0177179
1791157
24227156
35001156

prune55.0ms

Filtered
28 candidates to 45 candidates (-60.7%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New41445
Fresh101
Picked011
Done000
Total42547

Merged error: 0b

Counts
47 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* d1 (+ 10.0 d2))
0.2b
(+ (* d1 (+ 10.0 d2)) (* d1 20.0))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt *-un-lft-identity
pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube add-log-exp
associate-*l*
distribute-rgt-in associate-+l+ distribute-lft-in flip3-+ associate-*r/ flip-+ distribute-lft-out
+-commutative pow-prod-down prod-exp sum-log *-commutative cbrt-unprod unswap-sqr
Counts
2 → 37
Calls
2 calls:
5.0ms
(* d1 (+ 10.0 d2))
6.0ms
(+ (* d1 (+ 10.0 d2)) (* d1 20.0))

series10.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(* d1 (+ 10.0 d2))
5.0ms
(+ (* d1 (+ 10.0 d2)) (* d1 20.0))

simplify35.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0215180
1973159
25001157

prune48.0ms

Filtered
29 candidates to 43 candidates (-48.3%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New42143
Fresh213
Picked011
Done011
Total44448

Merged error: 0b

Counts
48 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ 10.0 d2))
0.2b
(+ (* (* d1 (sqrt (+ 10.0 d2))) (sqrt (+ 10.0 d2))) (* d1 20.0))
0.3b
(* (* d1 (sqrt (+ 10.0 d2))) (sqrt (+ 10.0 d2)))
0.3b
(* d1 (sqrt (+ 10.0 d2)))

rewrite34.0ms

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/
flip3-+ flip-+
add-log-exp
frac-times associate-*l* pow-prod-down prod-exp cbrt-unprod
distribute-lft-out
associate-*l/ *-commutative unswap-sqr
+-commutative rem-sqrt-square sqrt-pow1 pow1/2 sum-log
Counts
4 → 82
Calls
4 calls:
3.0ms
(sqrt (+ 10.0 d2))
11.0ms
(+ (* (* d1 (sqrt (+ 10.0 d2))) (sqrt (+ 10.0 d2))) (* d1 20.0))
11.0ms
(* (* d1 (sqrt (+ 10.0 d2))) (sqrt (+ 10.0 d2)))
7.0ms
(* d1 (sqrt (+ 10.0 d2)))

series25.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(sqrt (+ 10.0 d2))
6.0ms
(+ (* (* d1 (sqrt (+ 10.0 d2))) (sqrt (+ 10.0 d2))) (* d1 20.0))
5.0ms
(* (* d1 (sqrt (+ 10.0 d2))) (sqrt (+ 10.0 d2)))
8.0ms
(* d1 (sqrt (+ 10.0 d2)))

simplify55.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0468672
12030584
25001551

prune129.0ms

Filtered
62 candidates to 94 candidates (-51.6%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New94094
Fresh011
Picked011
Done022
Total94498

Merged error: 0b

Counts
98 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(* d1 (cbrt (pow (+ (+ 10.0 d2) 20.0) 3)))
0.0b
(+ (+ 10.0 d2) 20.0)
0.0b
(pow (+ (+ 10.0 d2) 20.0) 3)
17.1b
(cbrt (pow (+ (+ 10.0 d2) 20.0) 3))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
50×*-un-lft-identity
36×cbrt-prod
24×add-sqr-sqrt
21×distribute-lft-out
19×associate-*r*
16×unpow-prod-down cube-prod
15×add-cube-cbrt
add-log-exp
pow1 add-exp-log
cube-div add-cbrt-cube
unswap-sqr
cbrt-div flip3-+ flip-+ sqr-pow
cube-mult pow-unpow unpow3 associate-*l* sum-log
associate-*r/
+-commutative pow-to-exp associate-+l+ pow-pow pow1/3 pow-prod-down pow-exp prod-exp *-commutative rem-cbrt-cube cbrt-unprod rem-cube-cbrt
Counts
4 → 111
Calls
4 calls:
12.0ms
(* d1 (cbrt (pow (+ (+ 10.0 d2) 20.0) 3)))
5.0ms
(+ (+ 10.0 d2) 20.0)
6.0ms
(pow (+ (+ 10.0 d2) 20.0) 3)
6.0ms
(cbrt (pow (+ (+ 10.0 d2) 20.0) 3))

series14.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(* d1 (cbrt (pow (+ (+ 10.0 d2) 20.0) 3)))
2.0ms
(+ (+ 10.0 d2) 20.0)
2.0ms
(pow (+ (+ 10.0 d2) 20.0) 3)
5.0ms
(cbrt (pow (+ (+ 10.0 d2) 20.0) 3))

simplify51.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0304564
11480534
25001523

prune112.0ms

Filtered
65 candidates to 123 candidates (-89.2%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1230123
Fresh000
Picked011
Done033
Total1234127

Merged error: 0b

Counts
127 → 4

regimes80.0ms

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
0103
1103

end0.0ms

analyze67.0ms

Algorithm
search

sample384.0ms

Algorithm
intervals
Results
238.0ms7873×body80valid
7.0ms51×body1280valid
4.0ms40×body640valid
2.0ms81×body80invalid
2.0ms21×body320valid
1.0ms15×body160valid

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