Details

Time bar (total: 3.9s)

sample49.0ms

Algorithm
intervals
Results
29.0ms634×body80valid

simplify53.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0258
1418
2678
31198
43098
514948
650018

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.2b

Counts
2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1 add-exp-log
8×add-cbrt-cube
7×add-sqr-sqrt
6×add-cube-cbrt *-un-lft-identity
5×add-log-exp
3×unpow-prod-down pow-unpow associate-*l* pow-prod-down prod-exp cbrt-unprod
1×+-commutative pow-to-exp pow-pow flip3-+ associate-*r* pow-exp sum-log *-commutative flip-+ unswap-sqr sqr-pow
Counts
3 → 47
Calls
3 calls:
3.0ms
(+ (* a a) (* b b))
8.0ms
(* 4.0 (* b b))
4.0ms
(pow (+ (* a a) (* b b)) 2.0)

series29.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(+ (* a a) (* b b))
3.0ms
(* 4.0 (* b b))
21.0ms
(pow (+ (* a a) (* b b)) 2.0)

simplify104.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 3 (100.0ms)

IterNodesCost
0286285
11163260
24153252
35002247

prune73.0ms

Filtered
37 candidates to 56 candidates (-51.4%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New54256
Fresh000
Picked011
Done000
Total54357

Merged error: 0.1b

Counts
57 → 3

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)))
19.8b
(cbrt (pow (+ (* a a) (* b b)) 2.0))
19.8b
(cbrt (pow (+ (* a a) (* b b)) 2.0))
19.8b
(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite32.0ms

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:
13.0ms
(* (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))
6.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))

series133.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(* (cbrt (pow (+ (* a a) (* b b)) 2.0)) (cbrt (pow (+ (* a a) (* b b)) 2.0)))
33.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
35.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
32.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify121.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 3 (107.0ms)

IterNodesCost
02551564
18051485
237671387
350011360

prune312.0ms

Filtered
88 candidates to 121 candidates (-37.5%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1156121
Fresh011
Picked101
Done011
Total1168124

Merged error: 0.0b

Counts
124 → 8

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(pow (sqrt (cbrt (pow (+ (* a a) (* b b)) 2.0))) 4)
2.7b
(sqrt (cbrt (pow (+ (* a a) (* b b)) 2.0)))
19.8b
(cbrt (pow (+ (* a a) (* b b)) 2.0))
19.8b
(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
31×cbrt-prod
26×unpow-prod-down
20×sqrt-prod
19×add-sqr-sqrt
16×add-cube-cbrt *-un-lft-identity
7×pow1
6×sqr-pow
5×add-exp-log
4×rem-sqrt-square pow-pow sqrt-pow1 pow1/3 add-cbrt-cube add-log-exp
3×pow-unpow
2×pow1/2
1×pow-to-exp pow-exp sqrt-pow2
Counts
4 → 85
Calls
4 calls:
9.0ms
(pow (sqrt (cbrt (pow (+ (* a a) (* b b)) 2.0))) 4)
5.0ms
(sqrt (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))

series144.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(pow (sqrt (cbrt (pow (+ (* a a) (* b b)) 2.0))) 4)
35.0ms
(sqrt (cbrt (pow (+ (* a a) (* b b)) 2.0)))
33.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
33.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify42.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0321926
11020852
25001800

prune276.0ms

Filtered
74 candidates to 97 candidates (-31.1%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New96197
Fresh066
Picked011
Done011
Total969105

Merged error: 0.0b

Counts
105 → 9

localize20.0ms

Local error

Found 4 expressions with local error:

19.8b
(cbrt (pow (+ (* a a) (* b b)) 2.0))
19.8b
(cbrt (pow (+ (* a a) (* b b)) 2.0))
19.8b
(cbrt (pow (+ (* a a) (* b b)) 2.0))
19.8b
(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
28×cbrt-prod
12×add-sqr-sqrt add-cube-cbrt unpow-prod-down *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp sqr-pow
Counts
4 → 60
Calls
4 calls:
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))
4.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))

series133.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
34.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
33.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
33.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify39.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 3 (32.0ms)

IterNodesCost
0134700
1306656
21030632
35001604

prune271.0ms

Filtered
60 candidates to 72 candidates (-20.0%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New71172
Fresh066
Picked011
Done022
Total711081

Merged error: 0.0b

Counts
81 → 10

regimes473.0ms

Accuracy

0% (0.1b 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

sample1.5s

Algorithm
intervals
Results
935.0ms20208×body80valid

Profiling

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