Details

Time bar (total: 4.4s)

sample69.0ms

Algorithm
intervals
Results
47.0ms647×body80valid

simplify86.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (84.0ms)

IterNodesCost
0490631
1490631

prune10.0ms

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

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(* b (* b (- 1.0 (* a 3.0))))
0.1b
(* b (- 1.0 (* a 3.0)))
0.1b
(* a (* a (+ a 1.0)))
0.3b
(pow (+ (* a a) (* b b)) 2.0)

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
17×pow1 add-exp-log
16×add-cbrt-cube
14×distribute-rgt-in distribute-lft-in
12×add-sqr-sqrt
10×add-cube-cbrt *-un-lft-identity associate-*r/
9×associate-*l*
7×pow-prod-down prod-exp cbrt-unprod
6×sub-neg
5×associate-*r*
4×add-log-exp
3×unpow-prod-down pow-unpow *-commutative
2×flip3-- flip--
1×pow-to-exp pow-pow flip3-+ pow-exp flip-+ unswap-sqr sqr-pow
Counts
4 → 93
Calls
4 calls:
9.0ms
(* b (* b (- 1.0 (* a 3.0))))
6.0ms
(* b (- 1.0 (* a 3.0)))
7.0ms
(* a (* a (+ a 1.0)))
5.0ms
(pow (+ (* a a) (* b b)) 2.0)

series40.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(* b (* b (- 1.0 (* a 3.0))))
6.0ms
(* b (- 1.0 (* a 3.0)))
5.0ms
(* a (* a (+ a 1.0)))
21.0ms
(pow (+ (* a a) (* b b)) 2.0)

simplify95.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 0 (86.0ms)

IterNodesCost
049121021
149121021

prune138.0ms

Filtered
58 candidates to 105 candidates (-81.0%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1014105
Fresh011
Picked101
Done000
Total1025107

Merged error: 0.1b

Counts
107 → 5

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(- 1.0 (* 3.0 a))
0.1b
(* (* a a) (+ 1.0 a))
0.3b
(pow (+ (* a a) (* b b)) 2.0)
0.9b
(* (* b b) (- 1.0 (* 3.0 a)))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
15×pow1 add-exp-log
14×add-cbrt-cube
10×add-sqr-sqrt *-un-lft-identity
8×add-cube-cbrt
7×associate-*r*
6×pow-prod-down prod-exp cbrt-unprod add-log-exp
4×associate-*r/
3×distribute-rgt-in sub-neg unpow-prod-down pow-unpow distribute-lft-in
2×flip3-- associate-*l* *-commutative flip-- unswap-sqr
1×pow-to-exp pow-pow flip3-+ diff-log pow-exp flip-+ distribute-lft-out sqr-pow
Counts
4 → 78
Calls
4 calls:
3.0ms
(- 1.0 (* 3.0 a))
8.0ms
(* (* a a) (+ 1.0 a))
5.0ms
(pow (+ (* a a) (* b b)) 2.0)
7.0ms
(* (* b b) (- 1.0 (* 3.0 a)))

series42.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(- 1.0 (* 3.0 a))
6.0ms
(* (* a a) (+ 1.0 a))
24.0ms
(pow (+ (* a a) (* b b)) 2.0)
8.0ms
(* (* b b) (- 1.0 (* 3.0 a)))

simplify55.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
04915875
14915875

prune130.0ms

Filtered
58 candidates to 90 candidates (-55.2%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New90090
Fresh044
Picked011
Done000
Total90595

Merged error: 0.1b

Counts
95 → 5

localize26.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (pow (+ (* a a) (* b b)) 2.0)) (cbrt (pow (+ (* a a) (* b b)) 2.0)))
20.2b
(cbrt (pow (+ (* a a) (* b b)) 2.0))
20.2b
(cbrt (pow (+ (* a a) (* b b)) 2.0))
20.2b
(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite34.0ms

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:
15.0ms
(* (cbrt (pow (+ (* a a) (* b b)) 2.0)) (cbrt (pow (+ (* a a) (* b b)) 2.0)))
5.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
5.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
5.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))

series139.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(* (cbrt (pow (+ (* a a) (* b b)) 2.0)) (cbrt (pow (+ (* a a) (* b b)) 2.0)))
34.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
37.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
34.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify65.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
050522354

prune384.0ms

Filtered
89 candidates to 121 candidates (-36.0%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New1147121
Fresh033
Picked101
Done011
Total11511126

Merged error: 0.0b

Counts
126 → 11

localize33.0ms

Local error

Found 4 expressions with local error:

10.2b
(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
10.2b
(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
20.2b
(cbrt (pow (+ (* a a) (* b b)) 2.0))
20.2b
(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
34×cbrt-prod
18×unpow-prod-down
14×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×sqrt-prod
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp sqr-pow
Counts
4 → 66
Calls
4 calls:
5.0ms
(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
5.0ms
(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
5.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
5.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))

series140.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
34.0ms
(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
37.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
34.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify65.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
048321262
148321262

prune255.0ms

Filtered
62 candidates to 78 candidates (-25.8%)
Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New76278
Fresh189
Picked011
Done011
Total771289

Merged error: 0.0b

Counts
89 → 12

regimes482.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
06131
16131

end0.0ms

sample2.0s

Algorithm
intervals
Results
1.4s20707×body80valid

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