Details

Time bar (total: 3.1s)

sample49.0ms

Algorithm
intervals
Results
30.0ms614×body80valid

simplify56.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0258
1418
2678
31198
43098
514948
650018

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.2b

Counts
2 → 1

localize14.0ms

Local error

Found 3 expressions with local error:

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)

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:
6.0ms
(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))
5.0ms
(* 4.0 (* b b))
5.0ms
(pow (+ (* a a) (* b b)) 2.0)

series44.0ms

Counts
3 → 9
Calls
3 calls:
15.0ms
(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))
3.0ms
(* 4.0 (* b b))
27.0ms
(pow (+ (* a a) (* b b)) 2.0)

simplify141.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 3 (135.0ms)

IterNodesCost
0293361
11131334
24605326
35001321

prune94.0ms

Filtered
39 candidates to 56 candidates (-43.6%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New52456
Fresh000
Picked101
Done000
Total53457

Merged error: 0b

Counts
57 → 4

localize12.0ms

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)
11.7b
(sqrt (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b))))
11.7b
(sqrt (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b))))

rewrite22.0ms

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) (* 4.0 (* b b))))
6.0ms
(sqrt (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b))))

series80.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(pow (+ (* a a) (* b b)) 2.0)
21.0ms
(pow (+ (* a a) (* b b)) 2.0)
20.0ms
(sqrt (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b))))
17.0ms
(sqrt (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b))))

simplify103.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 3 (95.0ms)

IterNodesCost
0241690
1860674
23574656
35003646

prune155.0ms

Filtered
58 candidates to 76 candidates (-31.0%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New76076
Fresh033
Picked011
Done000
Total76480

Merged error: 0b

Counts
80 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (+ (* a a) (* b b))) (cbrt (+ (* a a) (* b b))))
8.7b
(cbrt (+ (* a a) (* b b)))
8.7b
(cbrt (+ (* a a) (* b b)))
8.7b
(cbrt (+ (* a a) (* b b)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-+ pow1/3 flip-+
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 87
Calls
4 calls:
11.0ms
(* (cbrt (+ (* a a) (* b b))) (cbrt (+ (* a a) (* b b))))
4.0ms
(cbrt (+ (* a a) (* b b)))
3.0ms
(cbrt (+ (* a a) (* b b)))
3.0ms
(cbrt (+ (* a a) (* b b)))

series87.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(* (cbrt (+ (* a a) (* b b))) (cbrt (+ (* a a) (* b b))))
21.0ms
(cbrt (+ (* a a) (* b b)))
21.0ms
(cbrt (+ (* a a) (* b b)))
23.0ms
(cbrt (+ (* a a) (* b b)))

simplify120.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 3 (108.0ms)

IterNodesCost
02641051
1906986
23837912
35002878

prune145.0ms

Filtered
75 candidates to 99 candidates (-32.0%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New99099
Fresh022
Picked011
Done011
Total994103

Merged error: 0b

Counts
103 → 4

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(* 2 (* (pow a 2) (pow b 2)))
0.0b
(+ (pow a 4) (+ (pow b 4) (* 2 (* (pow a 2) (pow b 2)))))
1.6b
(* (pow a 2) (pow b 2))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
38×add-exp-log
28×prod-exp
24×add-sqr-sqrt
16×unswap-sqr
14×unpow-prod-down
12×pow-to-exp pow-exp
11×associate-*l*
10×*-un-lft-identity add-cbrt-cube unpow2 sqr-pow
9×associate-*r*
8×add-cube-cbrt add-log-exp
5×pow1
4×cbrt-unprod
3×sum-log
2×pow-prod-down *-commutative
1×+-commutative associate-+r+ flip3-+ flip-+ distribute-lft-out
Counts
3 → 90
Calls
3 calls:
7.0ms
(* 2 (* (pow a 2) (pow b 2)))
7.0ms
(+ (pow a 4) (+ (pow b 4) (* 2 (* (pow a 2) (pow b 2)))))
7.0ms
(* (pow a 2) (pow b 2))

series25.0ms

Counts
3 → 9
Calls
3 calls:
8.0ms
(* 2 (* (pow a 2) (pow b 2)))
11.0ms
(+ (pow a 4) (+ (pow b 4) (* 2 (* (pow a 2) (pow b 2)))))
7.0ms
(* (pow a 2) (pow b 2))

simplify48.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0330587
11422506
25002495

prune130.0ms

Filtered
50 candidates to 99 candidates (-98.0%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New99099
Fresh011
Picked011
Done022
Total994103

Merged error: 0b

Counts
103 → 4

regimes218.0ms

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
01718
11718

end0.0ms

sample1.5s

Algorithm
intervals
Results
1.0s20105×body80valid

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