Details

Time bar (total: 5.0s)

sample77.0ms

Algorithm
intervals
Results
49.0ms660×body80valid

simplify95.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05315
116115
245915
3132315
4299215
5500115

prune5.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.2b

Counts
2 → 1

localize16.0ms

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

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
15×pow1 add-exp-log
14×add-cbrt-cube
10×add-sqr-sqrt *-un-lft-identity
8×add-cube-cbrt
7×associate-*r*
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 sqr-pow
Counts
4 → 79
Calls
4 calls:
7.0ms
(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a))))))
7.0ms
(* (* a a) (+ 1.0 a))
4.0ms
(pow (+ (* a a) (* b b)) 2.0)
7.0ms
(* (* b b) (- 1.0 (* 3.0 a)))

series56.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a))))))
5.0ms
(* (* a a) (+ 1.0 a))
21.0ms
(pow (+ (* a a) (* b b)) 2.0)
7.0ms
(* (* b b) (- 1.0 (* 3.0 a)))

simplify70.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
0547721
12714641
25001637

prune568.0ms

Filtered
91 candidates to 61 candidates (33.0%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New86591
Fresh000
Picked101
Done000
Total87592

Merged error: 0b

Counts
92 → 5

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (+ 1.0 a))
0.2b
(cbrt (+ 1.0 a))
0.3b
(pow (+ (* a a) (* b b)) 2.0)
0.4b
(* (* b b) (- 1.0 (* 3.0 a)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
13×*-un-lft-identity
10×pow1 add-exp-log add-sqr-sqrt
9×add-cube-cbrt add-cbrt-cube
8×cbrt-prod
4×cbrt-div add-log-exp
3×unpow-prod-down pow-unpow associate-*r* pow-prod-down prod-exp cbrt-unprod
2×distribute-rgt-in sub-neg distribute-lft-in flip3-+ pow1/3 associate-*r/ flip-+ distribute-lft-out
1×pow-to-exp flip3-- pow-pow associate-*l* pow-exp *-commutative flip-- unswap-sqr sqr-pow
Counts
4 → 70
Calls
4 calls:
3.0ms
(cbrt (+ 1.0 a))
3.0ms
(cbrt (+ 1.0 a))
4.0ms
(pow (+ (* a a) (* b b)) 2.0)
7.0ms
(* (* b b) (- 1.0 (* 3.0 a)))

series40.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(cbrt (+ 1.0 a))
6.0ms
(cbrt (+ 1.0 a))
21.0ms
(pow (+ (* a a) (* b b)) 2.0)
7.0ms
(* (* b b) (- 1.0 (* 3.0 a)))

simplify48.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0434584
11678532
25001515

prune707.0ms

Filtered
82 candidates to 59 candidates (28.0%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New82082
Fresh044
Picked011
Done000
Total82587

Merged error: 0b

Counts
87 → 5

localize24.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (* b b) (- 1.0 (* 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))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
21×cbrt-prod
12×add-sqr-sqrt
11×add-cube-cbrt *-un-lft-identity
9×pow1 add-exp-log unpow-prod-down add-cbrt-cube
4×add-log-exp
3×pow1/3 associate-*r* pow-prod-down prod-exp cbrt-unprod sqr-pow
2×distribute-rgt-in sub-neg distribute-lft-in associate-*r/
1×flip3-- associate-*l* *-commutative flip-- unswap-sqr
Counts
4 → 70
Calls
4 calls:
7.0ms
(* (* b b) (- 1.0 (* 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))

series109.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(* (* b b) (- 1.0 (* 3.0 a)))
33.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
36.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
33.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify38.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0295702
11114636
25001618

prune561.0ms

Filtered
82 candidates to 64 candidates (22.0%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New82082
Fresh033
Picked011
Done011
Total82587

Merged error: 0b

Counts
87 → 5

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(* 2 (* (pow a 2) (pow b 2)))
2.0b
(* (pow a 2) (pow b 2))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
37×add-exp-log
28×prod-exp
23×add-sqr-sqrt
16×unswap-sqr
14×unpow-prod-down
12×pow-to-exp pow-exp
11×associate-*l*
10×unpow2 sqr-pow
9×associate-*r* add-cbrt-cube
7×add-cube-cbrt *-un-lft-identity
4×pow1 cbrt-unprod
2×pow-prod-down *-commutative add-log-exp
Counts
2 → 76
Calls
2 calls:
7.0ms
(* 2 (* (pow a 2) (pow b 2)))
7.0ms
(* (pow a 2) (pow b 2))

series17.0ms

Counts
2 → 6
Calls
2 calls:
11.0ms
(* 2 (* (pow a 2) (pow b 2)))
6.0ms
(* (pow a 2) (pow b 2))

simplify36.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0229393
1907329
25002318

prune240.0ms

Filtered
82 candidates to 37 candidates (54.9%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New82082
Fresh022
Picked011
Done022
Total82587

Merged error: 0b

Counts
87 → 5

regimes172.0ms

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
03122
13122

end0.0ms

sample2.0s

Algorithm
intervals
Results
1.4s20590×body80valid

Profiling

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