Details

Time bar (total: 6.0s)

sample63.0ms

Algorithm
intervals
Results
45.0ms688×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
(* (* a a) (+ 1.0 a))
0.3b
(* (* b b) (- 1.0 (* 3.0 a)))
0.3b
(pow (+ (* a a) (* b b)) 2.0)

rewrite36.0ms

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:
12.0ms
(* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))
8.0ms
(* (* a a) (+ 1.0 a))
10.0ms
(* (* b b) (- 1.0 (* 3.0 a)))
4.0ms
(pow (+ (* a a) (* b b)) 2.0)

series265.0ms

Counts
4 → 12
Calls
4 calls:
60.0ms
(* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))
58.0ms
(* (* a a) (+ 1.0 a))
51.0ms
(* (* b b) (- 1.0 (* 3.0 a)))
95.0ms
(pow (+ (* a a) (* b b)) 2.0)

simplify100.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 1 (18.0ms)

IterNodesCost
0658794
13720707
25001707

prune261.0ms

Filtered
104 candidates to 69 candidates (66.3%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New986104
Fresh000
Picked101
Done000
Total996105

Merged error: 0.1b

Counts
105 → 6

localize19.0ms

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)))
18.5b
(cbrt (pow (+ (* a a) (* b b)) 2.0))
18.5b
(cbrt (pow (+ (* a a) (* b b)) 2.0))
18.5b
(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))
4.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))

series548.0ms

Counts
4 → 12
Calls
4 calls:
138.0ms
(* (cbrt (pow (+ (* a a) (* b b)) 2.0)) (cbrt (pow (+ (* a a) (* b b)) 2.0)))
135.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
139.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
136.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify97.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 3 (82.0ms)

IterNodesCost
02111498
16811419
232741337
350011330

prune402.0ms

Filtered
121 candidates to 88 candidates (72.7%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1183121
Fresh055
Picked011
Done000
Total1189127

Merged error: 0.0b

Counts
127 → 9

localize26.0ms

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))
18.5b
(cbrt (pow (+ (* a a) (* b b)) 2.0))
18.5b
(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:
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))
5.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))

series575.0ms

Counts
4 → 12
Calls
4 calls:
145.0ms
(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
144.0ms
(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
142.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
144.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify146.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 3 (36.0ms)

IterNodesCost
0172764
1365712
21183704
34879694
45001694

prune364.0ms

Filtered
78 candidates to 61 candidates (78.2%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New75378
Fresh167
Picked011
Done011
Total761187

Merged error: 0.0b

Counts
87 → 11

localize32.0ms

Local error

Found 4 expressions with local error:

9.6b
(sqrt (+ (* a a) (* b b)))
10.2b
(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
18.5b
(cbrt (pow (+ (* a a) (* b b)) 2.0))
18.5b
(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
24×cbrt-prod
13×add-sqr-sqrt
12×add-cube-cbrt unpow-prod-down *-un-lft-identity
6×sqrt-prod
5×pow1
4×add-exp-log add-cbrt-cube add-log-exp
3×pow1/3 sqr-pow
2×sqrt-div
1×rem-sqrt-square sqrt-pow1 flip3-+ pow1/2 flip-+
Counts
4 → 63
Calls
4 calls:
4.0ms
(sqrt (+ (* a a) (* b b)))
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))

series467.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(sqrt (+ (* a a) (* b b)))
147.0ms
(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
139.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
147.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify62.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 3 (50.0ms)

IterNodesCost
0241640
1618599
21880593
35001586

prune412.0ms

Filtered
75 candidates to 61 candidates (81.3%)
Pruning

12 alts after pruning (9 fresh and 3 done)

PrunedKeptTotal
New74175
Fresh088
Picked011
Done022
Total741286

Merged error: 0.0b

Counts
86 → 12

regimes192.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03636
13636

end0.0ms

sample1.7s

Algorithm
intervals
Results
1.4s20536×body80valid

Profiling

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