Details

Time bar (total: 3.1s)

sample52.0ms

Algorithm
intervals
Results
33.0ms635×body80valid

simplify75.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (73.0ms)

IterNodesCost
0509817

prune5.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.2b

Counts
2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
10×pow1 add-exp-log
9×add-cbrt-cube
8×add-sqr-sqrt add-log-exp
7×add-cube-cbrt *-un-lft-identity
3×unpow-prod-down pow-unpow associate-*l* pow-prod-down prod-exp cbrt-unprod
2×+-commutative flip3-+ sum-log flip-+
1×pow-to-exp pow-pow associate-*r* pow-exp *-commutative unswap-sqr sqr-pow
Counts
4 → 58
Calls
4 calls:
6.0ms
(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))
3.0ms
(+ (* a a) (* b b))
5.0ms
(* 4.0 (* b b))
4.0ms
(pow (+ (* a a) (* b b)) 2.0)

series45.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))
5.0ms
(+ (* a a) (* b b))
3.0ms
(* 4.0 (* b b))
23.0ms
(pow (+ (* a a) (* b b)) 2.0)

simplify43.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
04922782
14922782

prune105.0ms

Filtered
52 candidates to 70 candidates (-34.6%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New66470
Fresh000
Picked101
Done000
Total67471

Merged error: 0.0b

Counts
71 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b
(pow (+ (* a a) (* b b)) 2.0)
0.3b
(pow (+ (* a a) (* b b)) 2.0)
14.3b
(sqrt (+ (pow (+ (* a a) (* b b)) 2.0) (* b (* b 4.0))))
14.3b
(sqrt (+ (pow (+ (* a a) (* b b)) 2.0) (* b (* b 4.0))))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
10×add-cube-cbrt *-un-lft-identity
8×pow1
6×add-exp-log unpow-prod-down pow-unpow sqrt-prod
4×sqrt-div add-cbrt-cube add-log-exp
2×pow-to-exp rem-sqrt-square pow-pow sqrt-pow1 flip3-+ pow1/2 pow-exp flip-+ sqr-pow
Counts
4 → 64
Calls
4 calls:
4.0ms
(pow (+ (* a a) (* b b)) 2.0)
4.0ms
(pow (+ (* a a) (* b b)) 2.0)
6.0ms
(sqrt (+ (pow (+ (* a a) (* b b)) 2.0) (* b (* b 4.0))))
6.0ms
(sqrt (+ (pow (+ (* a a) (* b b)) 2.0) (* b (* b 4.0))))

series77.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(pow (+ (* a a) (* b b)) 2.0)
20.0ms
(pow (+ (* a a) (* b b)) 2.0)
19.0ms
(sqrt (+ (pow (+ (* a a) (* b b)) 2.0) (* b (* b 4.0))))
17.0ms
(sqrt (+ (pow (+ (* a a) (* b b)) 2.0) (* b (* b 4.0))))

simplify59.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
056241206

prune151.0ms

Filtered
56 candidates to 76 candidates (-35.7%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New76076
Fresh033
Picked011
Done000
Total76480

Merged error: 0.0b

Counts
80 → 4

localize15.0ms

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)))
19.1b
(cbrt (pow (+ (* a a) (* b b)) 2.0))
19.1b
(cbrt (pow (+ (* a a) (* b b)) 2.0))
19.1b
(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite31.0ms

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:
15.0ms
(* (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))

series131.0ms

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

simplify70.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
048942354
148942354

prune266.0ms

Filtered
89 candidates to 121 candidates (-36.0%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1210121
Fresh022
Picked011
Done011
Total1214125

Merged error: 0.0b

Counts
125 → 4

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (pow a 4) (* a (* a (* b (* b 2)))))
0.9b
(* a (* a (* b (* b 2))))
1.0b
(* a (* b (* b 2)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
26×pow1 add-exp-log add-cbrt-cube
16×pow-prod-down prod-exp cbrt-unprod
6×associate-*l*
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-log-exp
2×associate-*r* *-commutative
1×+-commutative flip3-+ sum-log flip-+
Counts
3 → 56
Calls
3 calls:
4.0ms
(+ (pow a 4) (* a (* a (* b (* b 2)))))
9.0ms
(* a (* a (* b (* b 2))))
6.0ms
(* a (* b (* b 2)))

series26.0ms

Counts
3 → 9
Calls
3 calls:
9.0ms
(+ (pow a 4) (* a (* a (* b (* b 2)))))
9.0ms
(* a (* a (* b (* b 2))))
8.0ms
(* a (* b (* b 2)))

simplify56.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
04998647
14998647

prune68.0ms

Filtered
32 candidates to 65 candidates (-103.1%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New65065
Fresh011
Picked011
Done022
Total65469

Merged error: 0.0b

Counts
69 → 4

regimes162.0ms

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
01935
11935

end0.0ms

sample1.5s

Algorithm
intervals
Results
984.0ms20472×body80valid

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