Details

Time bar (total: 4.2s)

sample62.0ms

Algorithm
intervals
Results
44.0ms658×body80valid

simplify73.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05114
115514
243014
3119514
4252614
5500114

prune3.0ms

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

localize15.0ms

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)
0.3b
(* (* b b) (+ 3.0 a))

rewrite30.0ms

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:
8.0ms
(+ (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))

series291.0ms

Counts
4 → 12
Calls
4 calls:
106.0ms
(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))))
49.0ms
(* (* a a) (- 1.0 a))
100.0ms
(pow (+ (* a a) (* b b)) 2.0)
37.0ms
(* (* b b) (+ 3.0 a))

simplify64.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0506651
12520583
25001583

prune216.0ms

Filtered
93 candidates to 63 candidates (67.7%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New87693
Fresh000
Picked101
Done000
Total88694

Merged error: 0.0b

Counts
94 → 6

localize19.0ms

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)
0.3b
(* (* b b) (+ 3.0 a))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
15×pow1 add-exp-log
14×add-cbrt-cube
10×distribute-rgt-in *-un-lft-identity distribute-lft-in
9×add-sqr-sqrt
8×add-cube-cbrt
6×associate-*r/ pow-prod-down prod-exp cbrt-unprod add-log-exp
5×associate-*r*
4×sub-neg associate-*l*
3×unpow-prod-down pow-unpow
2×associate-+r+ flip3-+ *-commutative flip-+
1×+-commutative pow-to-exp flip3-- pow-pow pow-exp sum-log flip-- distribute-lft-out unswap-sqr sqr-pow
Counts
4 → 82
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))

series288.0ms

Counts
4 → 12
Calls
4 calls:
104.0ms
(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* a (* a (- 1.0 a))) (* (* b b) (+ 3.0 a)))))
52.0ms
(* a (* a (- 1.0 a)))
100.0ms
(pow (+ (* a a) (* b b)) 2.0)
32.0ms
(* (* b b) (+ 3.0 a))

simplify60.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0486662
12235585
25001585

prune191.0ms

Filtered
94 candidates to 58 candidates (61.7%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New94094
Fresh055
Picked011
Done000
Total946100

Merged error: 0.0b

Counts
100 → 6

localize16.0ms

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
(+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))
0.0b
(* 2 (* (pow a 2) (pow b 2)))
2.2b
(* (pow a 2) (pow b 2))

rewrite30.0ms

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)))))
4.0ms
(+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))
7.0ms
(* 2 (* (pow a 2) (pow b 2)))
7.0ms
(* (pow a 2) (pow b 2))

series170.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(+ (pow a 4) (+ (pow b 4) (* 2 (* (pow a 2) (pow b 2)))))
49.0ms
(+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))
38.0ms
(* 2 (* (pow a 2) (pow b 2)))
32.0ms
(* (pow a 2) (pow b 2))

simplify58.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0375699
11613622
25001616

prune204.0ms

Filtered
113 candidates to 60 candidates (53.1%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1130113
Fresh044
Picked011
Done011
Total1136119

Merged error: 0.0b

Counts
119 → 6

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 2.0 (* (pow a 2) (pow b 2)))
0.1b
(* (* a a) (- 1.0 a))
0.3b
(* (* b b) (+ 3.0 a))
2.2b
(* (pow a 2) (pow b 2))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
49×add-exp-log
34×prod-exp
31×add-sqr-sqrt
21×add-cbrt-cube
18×associate-*r* unswap-sqr
16×pow1
15×*-un-lft-identity
14×unpow-prod-down
13×associate-*l*
12×pow-to-exp pow-exp
11×add-cube-cbrt
10×cbrt-unprod unpow2 sqr-pow
8×pow-prod-down
4×associate-*r/ *-commutative add-log-exp
3×distribute-rgt-in distribute-lft-in
2×sub-neg
1×flip3-- flip3-+ flip-- flip-+ distribute-lft-out distribute-lft-out-- difference-of-squares
Counts
4 → 127
Calls
4 calls:
7.0ms
(* 2.0 (* (pow a 2) (pow b 2)))
8.0ms
(* (* a a) (- 1.0 a))
8.0ms
(* (* b b) (+ 3.0 a))
10.0ms
(* (pow a 2) (pow b 2))

series154.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(* 2.0 (* (pow a 2) (pow b 2)))
49.0ms
(* (* a a) (- 1.0 a))
36.0ms
(* (* b b) (+ 3.0 a))
31.0ms
(* (pow a 2) (pow b 2))

simplify79.0ms

Algorithm
egg-herbie
Counts
139 → 139
Iterations

Useful iterations: 2 (69.0ms)

IterNodesCost
0520654
12666534
25001530

prune267.0ms

Filtered
139 candidates to 71 candidates (51.1%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1390139
Fresh033
Picked011
Done022
Total1396145

Merged error: 0.0b

Counts
145 → 6

regimes129.0ms

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
02714
12714

end0.0ms

sample1.7s

Algorithm
intervals
Results
1.3s20498×body80valid