Details

Time bar (total: 5.6s)

sample69.0ms

Algorithm
intervals
Results
43.0ms660×body80valid

simplify68.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05114
115514
243014
3119514
4252614
5500114

prune7.0ms

Filtered
1 candidates to 0 candidates (100.0%)
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
(+ (* a a) (* b b))
0.1b
(* (* a a) (- 1.0 a))
0.3b
(pow (+ (* a a) (* b b)) 2.0)
0.5b
(* (* b b) (+ 3.0 a))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
15×pow1 add-exp-log
14×add-cbrt-cube
12×add-sqr-sqrt *-un-lft-identity
9×associate-*r*
8×add-cube-cbrt
6×pow-prod-down prod-exp cbrt-unprod add-log-exp
4×associate-*r/
3×distribute-rgt-in unpow-prod-down pow-unpow distribute-lft-in
2×sub-neg flip3-+ associate-*l* *-commutative flip-+ unswap-sqr
1×+-commutative pow-to-exp flip3-- pow-pow pow-exp sum-log flip-- distribute-lft-out distribute-lft-out-- difference-of-squares sqr-pow
Counts
4 → 79
Calls
4 calls:
3.0ms
(+ (* a a) (* b b))
8.0ms
(* (* a a) (- 1.0 a))
4.0ms
(pow (+ (* a a) (* b b)) 2.0)
7.0ms
(* (* b b) (+ 3.0 a))

series36.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(+ (* a a) (* b b))
5.0ms
(* (* a a) (- 1.0 a))
20.0ms
(pow (+ (* a a) (* b b)) 2.0)
6.0ms
(* (* b b) (+ 3.0 a))

simplify60.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0489468
12491419
25003415

prune571.0ms

Filtered
91 candidates to 59 candidates (35.2%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New87491
Fresh000
Picked011
Done000
Total87592

Merged error: 0.1b

Counts
92 → 5

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (* b b) (+ 3.0 a))
19.4b
(cbrt (pow (+ (* a a) (* b b)) 2.0))
19.4b
(cbrt (pow (+ (* a a) (* b b)) 2.0))
19.4b
(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite23.0ms

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:
7.0ms
(* (* b b) (+ 3.0 a))
4.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
6.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
4.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))

series103.0ms

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

simplify36.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0292649
11183595
25002577

prune565.0ms

Filtered
81 candidates to 64 candidates (21.0%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New76581
Fresh123
Picked011
Done011
Total77986

Merged error: 0.1b

Counts
86 → 9

localize24.0ms

Local error

Found 4 expressions with local error:

12.1b
(sqrt (pow (+ (* a a) (* b b)) 2.0))
12.1b
(sqrt (pow (+ (* a a) (* b b)) 2.0))
19.4b
(cbrt (pow (+ (* a a) (* b b)) 2.0))
19.4b
(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:
4.0ms
(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))

series127.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(sqrt (pow (+ (* a a) (* b b)) 2.0))
29.0ms
(sqrt (pow (+ (* a a) (* b b)) 2.0))
32.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
34.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify46.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 3 (39.0ms)

IterNodesCost
0172658
1396624
21261604
35001580

prune676.0ms

Filtered
80 candidates to 68 candidates (15.0%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New76480
Fresh156
Picked101
Done022
Total781189

Merged error: 0.1b

Counts
89 → 11

localize27.0ms

Local error

Found 4 expressions with local error:

10.1b
(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
10.1b
(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
19.4b
(cbrt (pow (+ (* a a) (* b b)) 2.0))
19.4b
(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))

series133.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
32.0ms
(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
32.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
35.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify52.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 3 (43.0ms)

IterNodesCost
0212832
1481780
21535756
35002726

prune565.0ms

Filtered
78 candidates to 62 candidates (20.5%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New75378
Fresh358
Picked101
Done022
Total791089

Merged error: 0.0b

Counts
89 → 10

regimes469.0ms

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
02514
12514

end0.0ms

sample1.9s

Algorithm
intervals
Results
1.3s20590×body80valid

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