Details

Time bar (total: 6.6s)

sample65.0ms

Algorithm
intervals
Results
39.0ms660×body80valid

simplify72.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* a a) (* b b))
0.1b
(* (* a a) (- 1.0 a))
0.3b
(pow (+ (* a a) (* b b)) 2.0)
0.5b
(* (* b b) (+ 3.0 a))

rewrite24.0ms

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×associate-*r/
3×distribute-rgt-in unpow-prod-down pow-unpow distribute-lft-in
2×sub-neg 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 → 79
Calls
4 calls:
3.0ms
(+ (* a a) (* b b))
8.0ms
(* (* a a) (- 1.0 a))
4.0ms
(pow (+ (* a a) (* b b)) 2.0)
7.0ms
(* (* b b) (+ 3.0 a))

series235.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(+ (* a a) (* b b))
50.0ms
(* (* a a) (- 1.0 a))
120.0ms
(pow (+ (* a a) (* b b)) 2.0)
32.0ms
(* (* b b) (+ 3.0 a))

simplify61.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0519474
12600425
25002425

prune294.0ms

Filtered
91 candidates to 59 candidates (64.8%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New85691
Fresh000
Picked011
Done000
Total85792

Merged error: 0.1b

Counts
92 → 7

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (* b b) (+ 3.0 a))
19.4b
(cbrt (pow (+ (* a a) (* b b)) 2.0))
19.4b
(cbrt (pow (+ (* a a) (* b b)) 2.0))
19.4b
(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
21×cbrt-prod
13×*-un-lft-identity
12×add-sqr-sqrt
11×add-cube-cbrt
9×pow1 add-exp-log unpow-prod-down add-cbrt-cube
4×associate-*r* add-log-exp
3×pow1/3 pow-prod-down prod-exp cbrt-unprod sqr-pow
2×associate-*r/
1×distribute-rgt-in distribute-lft-in flip3-+ associate-*l* *-commutative flip-+ distribute-lft-out unswap-sqr
Counts
4 → 69
Calls
4 calls:
10.0ms
(* (* b b) (+ 3.0 a))
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))

series504.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(* (* b b) (+ 3.0 a))
159.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
158.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
154.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify42.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0350697
11407643
25002631

prune427.0ms

Filtered
81 candidates to 64 candidates (79.0%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New78381
Fresh145
Picked011
Done011
Total79988

Merged error: 0.0b

Counts
88 → 9

localize27.0ms

Local error

Found 4 expressions with local error:

12.1b
(sqrt (pow (+ (* a a) (* b b)) 2.0))
12.1b
(sqrt (pow (+ (* a a) (* b b)) 2.0))
19.4b
(cbrt (pow (+ (* a a) (* b b)) 2.0))
19.4b
(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
14×cbrt-prod unpow-prod-down sqrt-prod
12×add-cube-cbrt *-un-lft-identity
6×rem-sqrt-square sqr-pow
4×pow1 add-exp-log add-cbrt-cube add-log-exp
2×sqrt-pow1 pow1/2 pow1/3
Counts
4 → 68
Calls
4 calls:
5.0ms
(sqrt (pow (+ (* a a) (* b b)) 2.0))
5.0ms
(sqrt (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))

series646.0ms

Counts
4 → 12
Calls
4 calls:
164.0ms
(sqrt (pow (+ (* a a) (* b b)) 2.0))
161.0ms
(sqrt (pow (+ (* a a) (* b b)) 2.0))
162.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
158.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify89.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 3 (80.0ms)

IterNodesCost
0292714
1855680
23553672
35001668

prune538.0ms

Filtered
80 candidates to 68 candidates (85.0%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New77380
Fresh066
Picked101
Done022
Total781189

Merged error: 0.0b

Counts
89 → 11

localize32.0ms

Local error

Found 4 expressions with local error:

10.1b
(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
10.1b
(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
19.4b
(cbrt (pow (+ (* a a) (* b b)) 2.0))
19.4b
(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite20.0ms

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))
5.0ms
(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))

series670.0ms

Counts
4 → 12
Calls
4 calls:
163.0ms
(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
165.0ms
(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
169.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
173.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify106.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 3 (95.0ms)

IterNodesCost
0351904
11024850
24392828
35001818

prune476.0ms

Filtered
78 candidates to 62 candidates (79.5%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New76278
Fresh268
Picked101
Done022
Total791089

Merged error: 0.0b

Counts
89 → 10

regimes447.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02514
12514

end0.0ms

sample1.7s

Algorithm
intervals
Results
1.2s20590×body80valid

Profiling

Loading profile data...