Details

Time bar (total: 3.4s)

analyze132.0ms

Algorithm
search

sample24.0ms

Algorithm
intervals
Results
16.0ms256×body80valid

simplify75.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05114
115514
243014
3119514
4252614
5500114

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

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))
0.1b
(* (* a a) (- 1.0 a))
0.3b
(pow (+ (* a a) (* b b)) 2.0)
0.6b
(* (* b b) (+ 3.0 a))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
18×associate-*r/
17×pow1 add-exp-log
16×add-sqr-sqrt add-cbrt-cube
14×*-un-lft-identity
12×associate-*r*
10×add-cube-cbrt
7×pow-prod-down prod-exp cbrt-unprod
5×associate-*l*
4×distribute-rgt-in distribute-lft-in flip3-+ frac-add flip-+ add-log-exp
3×unpow-prod-down pow-unpow flip3-- *-commutative flip-- unswap-sqr
2×sub-neg
1×pow-to-exp pow-pow pow-exp distribute-lft-out distribute-lft-out-- difference-of-squares sqr-pow
Counts
4 → 94
Calls
4 calls:
11.0ms
(* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))
8.0ms
(* (* a a) (- 1.0 a))
4.0ms
(pow (+ (* a a) (* b b)) 2.0)
7.0ms
(* (* b b) (+ 3.0 a))

series44.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))
5.0ms
(* (* a a) (- 1.0 a))
21.0ms
(pow (+ (* a a) (* b b)) 2.0)
6.0ms
(* (* b b) (+ 3.0 a))

simplify99.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (86.0ms)

IterNodesCost
0677739
13666668
25002664

prune151.0ms

Filtered
71 candidates to 106 candidates (-49.3%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1033106
Fresh000
Picked011
Done000
Total1034107

Merged error: 0.1b

Counts
107 → 4

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (* b b) (+ 3.0 a))
22.5b
(cbrt (pow (+ (* a a) (* b b)) 2.0))
22.5b
(cbrt (pow (+ (* a a) (* b b)) 2.0))
22.5b
(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
21×cbrt-prod
13×*-un-lft-identity
12×add-sqr-sqrt
11×add-cube-cbrt
9×pow1 add-exp-log unpow-prod-down add-cbrt-cube
4×associate-*r* add-log-exp
3×pow1/3 pow-prod-down prod-exp cbrt-unprod sqr-pow
2×associate-*r/
1×distribute-rgt-in distribute-lft-in flip3-+ associate-*l* *-commutative flip-+ distribute-lft-out unswap-sqr
Counts
4 → 69
Calls
4 calls:
8.0ms
(* (* b b) (+ 3.0 a))
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))

series108.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(* (* b b) (+ 3.0 a))
33.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
35.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
34.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify39.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0292649
11183595
25002577

prune248.0ms

Filtered
64 candidates to 81 candidates (-26.6%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New75681
Fresh022
Picked011
Done011
Total751085

Merged error: 0.1b

Counts
85 → 10

localize27.0ms

Local error

Found 4 expressions with local error:

8.7b
(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
8.7b
(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
22.5b
(cbrt (pow (+ (* a a) (* b b)) 2.0))
22.5b
(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite21.0ms

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:
7.0ms
(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
5.0ms
(cbrt (pow (sqrt (+ (* 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))

series135.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
35.0ms
(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
33.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
34.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify53.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 3 (44.0ms)

IterNodesCost
0212832
1481780
21535756
35002726

prune303.0ms

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

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New74478
Fresh077
Picked101
Done112
Total761288

Merged error: 0.0b

Counts
88 → 12

localize31.0ms

Local error

Found 4 expressions with local error:

8.7b
(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
8.7b
(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
22.5b
(cbrt (pow (+ (* a a) (* b b)) 2.0))
22.5b
(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite20.0ms

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))
4.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
4.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))

series138.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
35.0ms
(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
34.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
36.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify54.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 3 (44.0ms)

IterNodesCost
0212832
1481780
21535756
35002726

prune296.0ms

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

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New77178
Fresh01010
Picked011
Done011
Total771390

Merged error: 0.0b

Counts
90 → 13

regimes502.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02514
12514

end0.0ms

analyze129.0ms

Algorithm
search

sample640.0ms

Algorithm
intervals
Results
507.0ms8000×body80valid
0.0ms5×body80invalid

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