Details

Time bar (total: 5.8s)

sample63.0ms

Algorithm
intervals
Results
45.0ms688×body80valid

simplify71.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
05114
115514
243014
3119514
4252614
5500114

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

localize15.0ms

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)
0.5b
(* (* b b) (+ 3.0 a))

rewrite35.0ms

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:
12.0ms
(* 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)
8.0ms
(* (* b b) (+ 3.0 a))

series238.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))
48.0ms
(* (* a a) (- 1.0 a))
97.0ms
(pow (+ (* a a) (* b b)) 2.0)
35.0ms
(* (* b b) (+ 3.0 a))

simplify102.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 1 (19.0ms)

IterNodesCost
0641720
13571649
25001649

prune245.0ms

Filtered
106 candidates to 71 candidates (67.0%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1015106
Fresh000
Picked011
Done000
Total1016107

Merged error: 0.0b

Counts
107 → 6

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (* b b) (+ 3.0 a))
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))

rewrite22.0ms

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))

series472.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(* (* b b) (+ 3.0 a))
143.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
149.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
143.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify40.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0262598
11088544
25002538

prune280.0ms

Filtered
81 candidates to 64 candidates (79.0%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New78381
Fresh134
Picked011
Done011
Total79887

Merged error: 0.0b

Counts
87 → 8

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))

rewrite24.0ms

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))
7.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))

series587.0ms

Counts
4 → 12
Calls
4 calls:
153.0ms
(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
141.0ms
(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
147.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
144.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify145.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 3 (34.0ms)

IterNodesCost
0172764
1365712
21183704
34879694
45001694

prune376.0ms

Filtered
78 candidates to 62 candidates (79.5%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New76278
Fresh055
Picked011
Done022
Total761086

Merged error: 0.0b

Counts
86 → 10

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))

rewrite20.0ms

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))

series485.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(sqrt (+ (* a a) (* b b)))
147.0ms
(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
144.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
152.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify61.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 3 (52.0ms)

IterNodesCost
0241640
1618599
21880593
35001586

prune415.0ms

Filtered
75 candidates to 61 candidates (81.3%)
Pruning

11 alts after pruning (7 fresh and 4 done)

PrunedKeptTotal
New74175
Fresh066
Picked011
Done033
Total741185

Merged error: 0.0b

Counts
85 → 11

regimes293.0ms

Accuracy

0% (0.2b 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
02514
12514

end0.0ms

sample1.7s

Algorithm
intervals
Results
1.3s20536×body80valid

Profiling

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