Details

Time bar (total: 4.5s)

sample49.0ms

Algorithm
intervals
Results
32.0ms685×body80valid

simplify57.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0258
1418
2678
31198
43098
514948
650018

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.2b

Counts
2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* a a) (* b b))
0.0b
(* 4.0 (* b b))
0.0b
(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))
0.3b
(pow (+ (* a a) (* b b)) 2.0)

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
10×pow1 add-exp-log
9×add-cbrt-cube
8×add-sqr-sqrt add-log-exp
7×add-cube-cbrt *-un-lft-identity
3×unpow-prod-down pow-unpow associate-*l* pow-prod-down prod-exp cbrt-unprod
2×+-commutative flip3-+ sum-log flip-+
1×pow-to-exp pow-pow associate-*r* pow-exp *-commutative unswap-sqr sqr-pow
Counts
4 → 58
Calls
4 calls:
4.0ms
(+ (* a a) (* b b))
5.0ms
(* 4.0 (* b b))
7.0ms
(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))
5.0ms
(pow (+ (* a a) (* b b)) 2.0)

series228.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(+ (* a a) (* b b))
29.0ms
(* 4.0 (* b b))
63.0ms
(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))
108.0ms
(pow (+ (* a a) (* b b)) 2.0)

simplify42.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0322413
11353379
25001379

prune146.0ms

Filtered
70 candidates to 49 candidates (70.0%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New66470
Fresh000
Picked011
Done000
Total66571

Merged error: 0b

Counts
71 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (pow (+ (* a a) (* b b)) 2.0)) (cbrt (pow (+ (* a a) (* b b)) 2.0)))
19.2b
(cbrt (pow (+ (* a a) (* b b)) 2.0))
19.2b
(cbrt (pow (+ (* a a) (* b b)) 2.0))
19.2b
(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
73×cbrt-prod
46×add-sqr-sqrt
29×unpow-prod-down
22×add-cube-cbrt *-un-lft-identity
16×unswap-sqr
15×sqr-pow
11×pow1
10×swap-sqr associate-*r* associate-*l*
9×pow1/3
6×add-exp-log
4×add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 109
Calls
4 calls:
18.0ms
(* (cbrt (pow (+ (* a a) (* b b)) 2.0)) (cbrt (pow (+ (* a a) (* b b)) 2.0)))
4.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
4.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
4.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))

series608.0ms

Counts
4 → 12
Calls
4 calls:
147.0ms
(* (cbrt (pow (+ (* a a) (* b b)) 2.0)) (cbrt (pow (+ (* a a) (* b b)) 2.0)))
154.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
156.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
151.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify100.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 3 (86.0ms)

IterNodesCost
02111498
16811419
232741337
350011330

prune312.0ms

Filtered
121 candidates to 88 candidates (72.7%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1201121
Fresh123
Picked011
Done011
Total1215126

Merged error: 0b

Counts
126 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))
0.0b
(+ (pow a 4) (+ (pow b 4) (* 2 (* (pow a 2) (pow b 2)))))
0.0b
(* 2 (* (pow a 2) (pow b 2)))
2.0b
(* (pow a 2) (pow b 2))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
39×add-exp-log
28×prod-exp
25×add-sqr-sqrt
16×unswap-sqr
14×unpow-prod-down
12×pow-to-exp pow-exp
11×*-un-lft-identity associate-*l* add-cbrt-cube add-log-exp
10×unpow2 sqr-pow
9×add-cube-cbrt associate-*r*
6×pow1
4×sum-log cbrt-unprod
2×+-commutative flip3-+ pow-prod-down *-commutative flip-+
1×associate-+r+ distribute-lft-out
Counts
4 → 101
Calls
4 calls:
5.0ms
(+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))
8.0ms
(+ (pow a 4) (+ (pow b 4) (* 2 (* (pow a 2) (pow b 2)))))
7.0ms
(* 2 (* (pow a 2) (pow b 2)))
8.0ms
(* (pow a 2) (pow b 2))

series177.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))
55.0ms
(+ (pow a 4) (+ (pow b 4) (* 2 (* (pow a 2) (pow b 2)))))
37.0ms
(* 2 (* (pow a 2) (pow b 2)))
32.0ms
(* (pow a 2) (pow b 2))

simplify62.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0375699
11613622
25001616

prune207.0ms

Filtered
113 candidates to 60 candidates (53.1%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1130113
Fresh022
Picked011
Done022
Total1135118

Merged error: 0b

Counts
118 → 5

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b
(pow (+ (* a a) (* b b)) 2.0)
0.3b
(pow (+ (* a a) (* b b)) (* 2 2.0))
19.2b
(cbrt (pow (+ (* a a) (* b b)) 2.0))
23.8b
(cbrt (pow (+ (* a a) (* b b)) (* 2 2.0)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
14×cbrt-prod
12×unpow-prod-down
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×pow1 add-exp-log
4×pow-unpow add-cbrt-cube add-log-exp sqr-pow
2×pow-to-exp pow-pow pow1/3 pow-exp
Counts
4 → 62
Calls
4 calls:
5.0ms
(pow (+ (* a a) (* b b)) 2.0)
5.0ms
(pow (+ (* a a) (* b b)) (* 2 2.0))
4.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
5.0ms
(cbrt (pow (+ (* a a) (* b b)) (* 2 2.0)))

series531.0ms

Counts
4 → 12
Calls
4 calls:
109.0ms
(pow (+ (* a a) (* b b)) 2.0)
107.0ms
(pow (+ (* a a) (* b b)) (* 2 2.0))
154.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
161.0ms
(cbrt (pow (+ (* a a) (* b b)) (* 2 2.0)))

simplify125.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 3 (117.0ms)

IterNodesCost
0266586
11023541
24103536
35001532

prune216.0ms

Filtered
74 candidates to 58 candidates (78.4%)
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New74074
Fresh011
Picked011
Done033
Total74579

Merged error: 0b

Counts
79 → 5

regimes143.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0158
1158

end0.0ms

sample1.4s

Algorithm
intervals
Results
985.0ms20567×body80valid

Profiling

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