Details

Time bar (total: 6.1s)

sample65.0ms

Algorithm
intervals
Results
47.0ms681×body80valid

simplify94.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05315
116115
245915
3132315
4299215
5500115

prune3.0ms

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

localize16.0ms

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

rewrite32.0ms

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
(* (* b b) (- 1.0 (* 3.0 a)))
7.0ms
(* (* a a) (+ 1.0 a))
4.0ms
(pow (+ (* a a) (* b b)) 2.0)

series257.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))
50.0ms
(* (* b b) (- 1.0 (* 3.0 a)))
49.0ms
(* (* a a) (+ 1.0 a))
96.0ms
(pow (+ (* a a) (* b b)) 2.0)

simplify107.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 1 (20.0ms)

IterNodesCost
0658794
13720707
25001707

prune232.0ms

Filtered
104 candidates to 69 candidates (66.3%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New995104
Fresh000
Picked011
Done000
Total996105

Merged error: 0.1b

Counts
105 → 6

localize23.0ms

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)))
19.3b
(cbrt (pow (+ (* a a) (* b b)) 2.0))
19.3b
(cbrt (pow (+ (* a a) (* b b)) 2.0))
19.3b
(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite29.0ms

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

series561.0ms

Counts
4 → 12
Calls
4 calls:
141.0ms
(* (cbrt (pow (+ (* a a) (* b b)) 2.0)) (cbrt (pow (+ (* a a) (* b b)) 2.0)))
141.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
136.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
142.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify98.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 3 (83.0ms)

IterNodesCost
02111498
16811419
232741337
350011330

prune400.0ms

Filtered
121 candidates to 88 candidates (72.7%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New1165121
Fresh134
Picked011
Done011
Total11710127

Merged error: 0.0b

Counts
127 → 10

localize29.0ms

Local error

Found 4 expressions with local error:

13.6b
(sqrt (pow (+ (* a a) (* b b)) 2.0))
13.6b
(sqrt (pow (+ (* a a) (* b b)) 2.0))
19.3b
(cbrt (pow (+ (* a a) (* b b)) 2.0))
19.3b
(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
14×cbrt-prod unpow-prod-down sqrt-prod
12×add-cube-cbrt *-un-lft-identity
6×rem-sqrt-square sqr-pow
4×pow1 add-exp-log add-cbrt-cube add-log-exp
2×sqrt-pow1 pow1/2 pow1/3
Counts
4 → 68
Calls
4 calls:
5.0ms
(sqrt (pow (+ (* a a) (* b b)) 2.0))
4.0ms
(sqrt (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))

series597.0ms

Counts
4 → 12
Calls
4 calls:
134.0ms
(sqrt (pow (+ (* a a) (* b b)) 2.0))
144.0ms
(sqrt (pow (+ (* a a) (* b b)) 2.0))
174.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
146.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify117.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 3 (26.0ms)

IterNodesCost
0140598
1298564
2971560
33919556
45001556

prune363.0ms

Filtered
80 candidates to 68 candidates (85.0%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New79180
Fresh167
Picked011
Done022
Total801090

Merged error: 0.0b

Counts
90 → 10

localize31.0ms

Local error

Found 4 expressions with local error:

8.0b
(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
8.0b
(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
19.3b
(cbrt (pow (+ (* a a) (* b b)) 2.0))
19.3b
(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite19.0ms

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))

series567.0ms

Counts
4 → 12
Calls
4 calls:
141.0ms
(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
143.0ms
(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
145.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
138.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify138.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 3 (33.0ms)

IterNodesCost
0172764
1365712
21183704
34879694
45001694

prune342.0ms

Filtered
78 candidates to 62 candidates (79.5%)
Pruning

11 alts after pruning (7 fresh and 4 done)

PrunedKeptTotal
New77178
Fresh066
Picked011
Done033
Total771188

Merged error: 0.0b

Counts
88 → 11

regimes277.0ms

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
02715
12715

end0.0ms

sample1.6s

Algorithm
intervals
Results
1.3s20481×body80valid

Profiling

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