Details

Time bar (total: 4.6s)

sample42.0ms

Algorithm
intervals
Results
25.0ms618×body80valid

simplify57.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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 4 expressions with local error:

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

rewrite21.0ms

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:
4.0ms
(+ (* a a) (* b b))
7.0ms
(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))
5.0ms
(* 4.0 (* b b))
4.0ms
(pow (+ (* a a) (* b b)) 2.0)

series226.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(+ (* a a) (* b b))
62.0ms
(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))
30.0ms
(* 4.0 (* b b))
103.0ms
(pow (+ (* a a) (* b b)) 2.0)

simplify42.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0322413
11353379
25001379

prune142.0ms

Filtered
70 candidates to 49 candidates (70.0%)
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:

0.4b
(* (cbrt (pow (+ (* a a) (* b b)) 2.0)) (cbrt (pow (+ (* a a) (* b b)) 2.0)))
18.7b
(cbrt (pow (+ (* a a) (* b b)) 2.0))
18.7b
(cbrt (pow (+ (* a a) (* b b)) 2.0))
18.7b
(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite35.0ms

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:
18.0ms
(* (cbrt (pow (+ (* a a) (* b b)) 2.0)) (cbrt (pow (+ (* a a) (* b b)) 2.0)))
5.0ms
(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))

series597.0ms

Counts
4 → 12
Calls
4 calls:
153.0ms
(* (cbrt (pow (+ (* a a) (* b b)) 2.0)) (cbrt (pow (+ (* a a) (* b b)) 2.0)))
145.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
152.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
146.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify102.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 3 (87.0ms)

IterNodesCost
02111498
16811419
232741337
350011330

prune320.0ms

Filtered
121 candidates to 88 candidates (72.7%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1201121
Fresh033
Picked011
Done000
Total1205125

Merged error: 0b

Counts
125 → 5

localize25.0ms

Local error

Found 4 expressions with local error:

10.0b
(cbrt (+ (* a a) (* b b)))
16.0b
(cbrt (pow (* (cbrt (+ (* a a) (* b b))) (cbrt (+ (* a a) (* b b)))) 2.0))
18.7b
(cbrt (pow (+ (* a a) (* b b)) 2.0))
18.7b
(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
22×cbrt-prod
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
7×unpow-prod-down
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
3×sqr-pow
2×cbrt-div
1×flip3-+ flip-+
Counts
4 → 56
Calls
4 calls:
4.0ms
(cbrt (+ (* a a) (* b b)))
4.0ms
(cbrt (pow (* (cbrt (+ (* a a) (* b b))) (cbrt (+ (* 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))

series747.0ms

Counts
4 → 12
Calls
4 calls:
96.0ms
(cbrt (+ (* a a) (* b b)))
150.0ms
(cbrt (pow (* (cbrt (+ (* a a) (* b b))) (cbrt (+ (* a a) (* b b)))) 2.0))
149.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
352.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify84.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 3 (75.0ms)

IterNodesCost
0260681
1811627
22838619
35001613

prune303.0ms

Filtered
68 candidates to 58 candidates (85.3%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New68068
Fresh033
Picked011
Done011
Total68573

Merged error: 0b

Counts
73 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (pow a 4) (+ (pow b 4) (* 2 (* (pow a 2) (pow b 2)))))
0.0b
(* 2 (* (pow a 2) (pow b 2)))
0.0b
(+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))
2.4b
(* (pow a 2) (pow b 2))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
39×add-exp-log
28×prod-exp
25×add-sqr-sqrt
16×unswap-sqr
14×unpow-prod-down
12×pow-to-exp pow-exp
11×*-un-lft-identity associate-*l* add-cbrt-cube add-log-exp
10×unpow2 sqr-pow
9×add-cube-cbrt associate-*r*
6×pow1
4×sum-log cbrt-unprod
2×+-commutative flip3-+ pow-prod-down *-commutative flip-+
1×associate-+r+ distribute-lft-out
Counts
4 → 101
Calls
4 calls:
8.0ms
(+ (pow a 4) (+ (pow b 4) (* 2 (* (pow a 2) (pow b 2)))))
7.0ms
(* 2 (* (pow a 2) (pow b 2)))
5.0ms
(+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))
8.0ms
(* (pow a 2) (pow b 2))

series180.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(+ (pow a 4) (+ (pow b 4) (* 2 (* (pow a 2) (pow b 2)))))
42.0ms
(* 2 (* (pow a 2) (pow b 2)))
50.0ms
(+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))
37.0ms
(* (pow a 2) (pow b 2))

simplify66.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0375699
11611622
25002616

prune194.0ms

Filtered
113 candidates to 60 candidates (53.1%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1130113
Fresh022
Picked011
Done022
Total1135118

Merged error: 0b

Counts
118 → 5

regimes100.0ms

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

sample1.2s

Algorithm
intervals
Results
849.0ms20562×body80valid

Profiling

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