Details

Time bar (total: 9.7s)

analyze1.2s

Algorithm
search

sample38.0ms

Algorithm
intervals
Results
11.0ms256×body80valid
10.0ms142×body80invalid

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0267
1576
2956
31166
41186
51186

prune13.0ms

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

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (+ x (* y z)) (* t a))
0.0b
(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
6.3b
(* (* a z) b)

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
17×add-log-exp
sum-log
pow1 add-exp-log add-cbrt-cube
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
associate-*r* pow-prod-down prod-exp cbrt-unprod
+-commutative associate-+l+ flip3-+ flip-+
associate-*l* *-commutative
Counts
3 → 45
Calls
3 calls:
4.0ms
(+ (+ x (* y z)) (* t a))
7.0ms
(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
4.0ms
(* (* a z) b)

series46.0ms

Counts
3 → 9
Calls
3 calls:
14.0ms
(+ (+ x (* y z)) (* t a))
27.0ms
(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
6.0ms
(* (* a z) b)

simplify42.0ms

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0281329
11444298
25001297

prune69.0ms

Filtered
39 candidates to 54 candidates (-38.5%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New52254
Fresh011
Picked011
Done000
Total52456

Merged error: 0.0b

Counts
56 → 4

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ t (* z b))
0.0b
(+ (* y z) (+ x (* a (+ t (* z b)))))
3.4b
(* a (+ t (* z b)))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
add-sqr-sqrt
pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
sum-log
flip3-+ associate-*r* associate-*l* flip-+
+-commutative associate-*r/
distribute-rgt-in associate-+r+ distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
3 → 46
Calls
3 calls:
2.0ms
(+ t (* z b))
5.0ms
(+ (* y z) (+ x (* a (+ t (* z b)))))
5.0ms
(* a (+ t (* z b)))

series45.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(+ t (* z b))
27.0ms
(+ (* y z) (+ x (* a (+ t (* z b)))))
12.0ms
(* a (+ t (* z b)))

simplify35.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0273310
11168276
25002276

prune67.0ms

Filtered
41 candidates to 55 candidates (-34.1%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New54155
Fresh022
Picked011
Done011
Total54559

Merged error: 0.0b

Counts
59 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* y z) (+ x (* a (cbrt (pow (+ t (* z b)) 3)))))
0.2b
(pow (+ t (* z b)) 3)
3.4b
(* a (cbrt (pow (+ t (* z b)) 3)))
33.5b
(cbrt (pow (+ t (* z b)) 3))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
28×cbrt-prod
24×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity associate-*r*
10×unpow-prod-down cube-prod
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-+r+ pow-pow pow1/3 pow-prod-down pow-exp prod-exp *-commutative rem-cbrt-cube cbrt-unprod rem-cube-cbrt
Counts
4 → 97
Calls
4 calls:
5.0ms
(+ (* y z) (+ x (* a (cbrt (pow (+ t (* z b)) 3)))))
4.0ms
(pow (+ t (* z b)) 3)
8.0ms
(* a (cbrt (pow (+ t (* z b)) 3)))
3.0ms
(cbrt (pow (+ t (* z b)) 3))

series63.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(+ (* y z) (+ x (* a (cbrt (pow (+ t (* z b)) 3)))))
17.0ms
(pow (+ t (* z b)) 3)
15.0ms
(* a (cbrt (pow (+ t (* z b)) 3)))
6.0ms
(cbrt (pow (+ t (* z b)) 3))

simplify64.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0405677
11916615
25001604

prune116.0ms

Filtered
68 candidates to 109 candidates (-60.3%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1090109
Fresh022
Picked011
Done022
Total1095114

Merged error: 0.0b

Counts
114 → 5

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (+ (+ (+ x (* y z)) (* t a)) (* (* a z) b)))
0.3b
(* (sqrt (+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))) (sqrt (+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))))
6.3b
(* (* a z) b)
6.3b
(* (* a z) b)

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
30×pow1
28×add-sqr-sqrt
21×sqrt-prod
16×add-exp-log add-cbrt-cube
15×add-cube-cbrt *-un-lft-identity
14×sqrt-div
12×associate-*r*
sqrt-pow1 pow1/2 pow-prod-down
swap-sqr associate-*l*
flip3-+ prod-exp cbrt-unprod flip-+
pow-prod-up
frac-times add-log-exp unswap-sqr
pow-sqr *-commutative
associate-*r/ associate-*l/
pow2 rem-sqrt-square pow-plus sqrt-unprod rem-square-sqrt
Counts
4 → 108
Calls
4 calls:
6.0ms
(sqrt (+ (+ (+ x (* y z)) (* t a)) (* (* a z) b)))
17.0ms
(* (sqrt (+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))) (sqrt (+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))))
4.0ms
(* (* a z) b)
5.0ms
(* (* a z) b)

series203.0ms

Counts
4 → 12
Calls
4 calls:
164.0ms
(sqrt (+ (+ (+ x (* y z)) (* t a)) (* (* a z) b)))
27.0ms
(* (sqrt (+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))) (sqrt (+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))))
6.0ms
(* (* a z) b)
6.0ms
(* (* a z) b)

simplify72.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
03431234
117861083
250021044

prune88.0ms

Filtered
69 candidates to 120 candidates (-73.9%)
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New1200120
Fresh011
Picked011
Done033
Total1205125

Merged error: 0.0b

Counts
125 → 5

regimes659.0ms

Accuracy

79.9% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 2.3b

bsearch4.6s

Steps
ItersRangePoint
10
2.1250384121327355e+61
1.3782479641424202e+77
2.4877983096750708e+61
9
-1.3695569846090429e+100
-1.3349066548569735e+94
-1.4813201611647512e+94

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03913
13913

end0.0ms

analyze1.2s

Algorithm
search

sample877.0ms

Algorithm
intervals
Results
351.0ms8000×body80valid
171.0ms3720×body80invalid

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