Details

Time bar (total: 3.5s)

analyze142.0ms

Algorithm
search

sample24.0ms

Algorithm
intervals
Results
16.0ms256×body80valid

simplify90.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05315
116115
245915
3132315
4299215
5500115

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

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))
0.1b
(* (* a a) (+ 1.0 a))
0.3b
(pow (+ (* a a) (* b b)) 2.0)
0.5b
(* (* b b) (- 1.0 (* 3.0 a)))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
18×associate-*r/
17×pow1 add-exp-log
16×add-cbrt-cube
14×add-sqr-sqrt
12×*-un-lft-identity
10×add-cube-cbrt associate-*r*
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 sqr-pow
Counts
4 → 92
Calls
4 calls:
11.0ms
(* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))
7.0ms
(* (* a a) (+ 1.0 a))
6.0ms
(pow (+ (* a a) (* b b)) 2.0)
7.0ms
(* (* b b) (- 1.0 (* 3.0 a)))

series45.0ms

Counts
4 → 12
Calls
4 calls:
13.0ms
(* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))
5.0ms
(* (* a a) (+ 1.0 a))
20.0ms
(pow (+ (* a a) (* b b)) 2.0)
7.0ms
(* (* b b) (- 1.0 (* 3.0 a)))

simplify109.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (100.0ms)

IterNodesCost
0694813
13813726
25002722

prune159.0ms

Filtered
69 candidates to 104 candidates (-50.7%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1013104
Fresh000
Picked011
Done000
Total1014105

Merged error: 0.1b

Counts
105 → 4

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (* b b) (- 1.0 (* 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
12×add-sqr-sqrt
11×add-cube-cbrt *-un-lft-identity
9×pow1 add-exp-log unpow-prod-down add-cbrt-cube
4×add-log-exp
3×pow1/3 associate-*r* pow-prod-down prod-exp cbrt-unprod sqr-pow
2×distribute-rgt-in sub-neg distribute-lft-in associate-*r/
1×flip3-- associate-*l* *-commutative flip-- unswap-sqr
Counts
4 → 70
Calls
4 calls:
7.0ms
(* (* b b) (- 1.0 (* 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))

series105.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(* (* b b) (- 1.0 (* 3.0 a)))
32.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
34.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
32.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify36.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0295702
11114636
25001618

prune250.0ms

Filtered
64 candidates to 82 candidates (-28.1%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New76682
Fresh022
Picked011
Done011
Total761086

Merged error: 0.1b

Counts
86 → 10

localize29.0ms

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))

series131.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
34.0ms
(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
32.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
33.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify51.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 3 (42.0ms)

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

localize33.0ms

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))

series131.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
34.0ms
(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
32.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
32.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify50.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 3 (42.0ms)

IterNodesCost
0212832
1481780
21535756
35002726

prune344.0ms

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

regimes540.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02715
12715

end0.0ms

analyze140.0ms

Algorithm
search

sample656.0ms

Algorithm
intervals
Results
525.0ms8000×body80valid
0.0ms5×body80invalid

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