Details

Time bar (total: 3.8s)

sample51.0ms

Algorithm
intervals
Results
33.0ms733×body80valid

simplify56.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0258
1418
2678
31198
43098
514948
650018

prune2.0ms

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

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(* 4.0 (* b b))
0.0b
(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))
0.3b
(pow (+ (* a a) (* b b)) 2.0)

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1 add-exp-log
8×add-cbrt-cube
7×add-sqr-sqrt
6×add-cube-cbrt *-un-lft-identity
5×add-log-exp
3×unpow-prod-down pow-unpow associate-*l* pow-prod-down prod-exp cbrt-unprod
1×+-commutative pow-to-exp pow-pow flip3-+ associate-*r* pow-exp sum-log *-commutative flip-+ unswap-sqr sqr-pow
Counts
3 → 47
Calls
3 calls:
5.0ms
(* 4.0 (* b b))
7.0ms
(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))
5.0ms
(pow (+ (* a a) (* b b)) 2.0)

series203.0ms

Counts
3 → 9
Calls
3 calls:
30.0ms
(* 4.0 (* b b))
68.0ms
(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))
104.0ms
(pow (+ (* a a) (* b b)) 2.0)

simplify109.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0249342
1939315
23536315
35001315

prune109.0ms

Filtered
56 candidates to 39 candidates (69.6%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New53356
Fresh000
Picked101
Done000
Total54357

Merged error: 0b

Counts
57 → 3

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)))
17.4b
(cbrt (pow (+ (* a a) (* b b)) 2.0))
17.4b
(cbrt (pow (+ (* a a) (* b b)) 2.0))
17.4b
(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite30.0ms

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:
14.0ms
(* (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))

series760.0ms

Counts
4 → 12
Calls
4 calls:
139.0ms
(* (cbrt (pow (+ (* a a) (* b b)) 2.0)) (cbrt (pow (+ (* a a) (* b b)) 2.0)))
329.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
142.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
150.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify106.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 3 (88.0ms)

IterNodesCost
02111498
16811419
232741337
350011330

prune298.0ms

Filtered
121 candidates to 88 candidates (72.7%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1210121
Fresh022
Picked011
Done000
Total1213124

Merged error: 0b

Counts
124 → 3

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(* 2 (* (pow a 2) (pow b 2)))
1.4b
(* (pow a 2) (pow b 2))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
37×add-exp-log
28×prod-exp
23×add-sqr-sqrt
16×unswap-sqr
14×unpow-prod-down
12×pow-to-exp pow-exp
11×associate-*l*
10×unpow2 sqr-pow
9×associate-*r* add-cbrt-cube
7×add-cube-cbrt *-un-lft-identity
4×pow1 cbrt-unprod
2×pow-prod-down *-commutative add-log-exp
Counts
2 → 76
Calls
2 calls:
7.0ms
(* 2 (* (pow a 2) (pow b 2)))
7.0ms
(* (pow a 2) (pow b 2))

series69.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(* 2 (* (pow a 2) (pow b 2)))
35.0ms
(* (pow a 2) (pow b 2))

simplify38.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0229393
1907329
25002318

prune118.0ms

Filtered
82 candidates to 37 candidates (45.1%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New82082
Fresh011
Picked011
Done011
Total82385

Merged error: 0b

Counts
85 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 4.0 (* b b))
0.0b
(* 2.0 (* (pow a 2) (pow b 2)))
0.0b
(+ (+ (pow b 4) (* 2.0 (* (pow a 2) (pow b 2)))) (* 4.0 (* b b)))
1.4b
(* (pow a 2) (pow b 2))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
44×add-exp-log
31×prod-exp
27×add-sqr-sqrt
17×unswap-sqr
16×add-cbrt-cube
14×unpow-prod-down associate-*l*
12×pow-to-exp pow-exp
11×pow1
10×add-cube-cbrt *-un-lft-identity associate-*r* unpow2 sqr-pow
9×add-log-exp
7×cbrt-unprod
5×pow-prod-down
3×sum-log *-commutative
1×+-commutative associate-+l+ flip3-+ flip-+
Counts
4 → 108
Calls
4 calls:
9.0ms
(* 4.0 (* b b))
7.0ms
(* 2.0 (* (pow a 2) (pow b 2)))
7.0ms
(+ (+ (pow b 4) (* 2.0 (* (pow a 2) (pow b 2)))) (* 4.0 (* b b)))
8.0ms
(* (pow a 2) (pow b 2))

series155.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* 4.0 (* b b))
35.0ms
(* 2.0 (* (pow a 2) (pow b 2)))
65.0ms
(+ (+ (pow b 4) (* 2.0 (* (pow a 2) (pow b 2)))) (* 4.0 (* b b)))
31.0ms
(* (pow a 2) (pow b 2))

simplify63.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0400683
11741575
25002568

prune184.0ms

Filtered
120 candidates to 61 candidates (50.8%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1200120
Fresh000
Picked011
Done022
Total1203123

Merged error: 0b

Counts
123 → 3

regimes67.0ms

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01921
11921

end0.0ms

sample1.3s

Algorithm
intervals
Results
938.0ms20341×body80valid

Profiling

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