Details

Time bar (total: 6.0s)

sample99.0ms

Algorithm
intervals
Results
69.0ms678×body80valid

simplify94.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
05114
115514
243014
3119514
4252614
5500114

prune4.0ms

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

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))))
0.1b
(* (* a a) (- 1.0 a))
0.3b
(pow (+ (* a a) (* b b)) 2.0)
0.4b
(* (* b b) (+ 3.0 a))

rewrite29.0ms

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×distribute-rgt-in distribute-lft-in associate-*r/
3×unpow-prod-down pow-unpow
2×sub-neg associate-+r+ 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 → 81
Calls
4 calls:
7.0ms
(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))))
8.0ms
(* (* a a) (- 1.0 a))
4.0ms
(pow (+ (* a a) (* b b)) 2.0)
8.0ms
(* (* b b) (+ 3.0 a))

series292.0ms

Counts
4 → 12
Calls
4 calls:
107.0ms
(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))))
54.0ms
(* (* a a) (- 1.0 a))
100.0ms
(pow (+ (* a a) (* b b)) 2.0)
32.0ms
(* (* b b) (+ 3.0 a))

simplify70.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0506651
12520583
25001583

prune230.0ms

Filtered
93 candidates to 63 candidates (67.7%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New88593
Fresh000
Picked011
Done000
Total88694

Merged error: 0b

Counts
94 → 6

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)))
20.9b
(cbrt (pow (+ (* a a) (* b b)) 2.0))
20.9b
(cbrt (pow (+ (* a a) (* b b)) 2.0))
20.9b
(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)))
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))

series613.0ms

Counts
4 → 12
Calls
4 calls:
148.0ms
(* (cbrt (pow (+ (* a a) (* b b)) 2.0)) (cbrt (pow (+ (* a a) (* b b)) 2.0)))
161.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
160.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
144.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify101.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 3 (86.0ms)

IterNodesCost
02111498
16811419
232741337
350011330

prune549.0ms

Filtered
121 candidates to 88 candidates (72.7%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1201121
Fresh134
Picked011
Done011
Total1216127

Merged error: 0b

Counts
127 → 6

localize26.0ms

Local error

Found 4 expressions with local error:

9.3b
(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
9.3b
(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
20.9b
(cbrt (pow (+ (* a a) (* b b)) 2.0))
20.9b
(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite23.0ms

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))
8.0ms
(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))

series567.0ms

Counts
4 → 12
Calls
4 calls:
144.0ms
(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
140.0ms
(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
142.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
141.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify139.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 3 (32.0ms)

IterNodesCost
0172764
1365712
21183704
34879694
45001694

prune334.0ms

Filtered
78 candidates to 62 candidates (79.5%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New78078
Fresh033
Picked011
Done022
Total78684

Merged error: 0b

Counts
84 → 6

localize24.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (* a a) (* b b))) (cbrt (+ (* a a) (* b b))))
9.3b
(cbrt (+ (* a a) (* b b)))
9.3b
(cbrt (+ (* a a) (* b b)))
9.3b
(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)))

series373.0ms

Counts
4 → 12
Calls
4 calls:
102.0ms
(* (cbrt (+ (* a a) (* b b))) (cbrt (+ (* a a) (* b b))))
90.0ms
(cbrt (+ (* a a) (* b b)))
90.0ms
(cbrt (+ (* a a) (* b b)))
91.0ms
(cbrt (+ (* a a) (* b b)))

simplify155.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 3 (144.0ms)

IterNodesCost
0222979
1943914
24107856
35001850

prune330.0ms

Filtered
99 candidates to 75 candidates (75.8%)
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New99099
Fresh022
Picked011
Done033
Total996105

Merged error: 0b

Counts
105 → 6

regimes158.0ms

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
02514
12514

end0.0ms

sample1.6s

Algorithm
intervals
Results
1.3s20550×body80valid

Profiling

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