Details

Time bar (total: 4.7s)

sample59.0ms

Algorithm
intervals
Results
41.0ms679×body80valid

simplify66.0ms

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

localize18.0ms

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))
0.4b
(pow (+ (* a a) (* b b)) 2.0)
0.9b
(* (* 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))

series286.0ms

Counts
4 → 12
Calls
4 calls:
103.0ms
(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))))
48.0ms
(* (* a a) (- 1.0 a))
103.0ms
(pow (+ (* a a) (* b b)) 2.0)
31.0ms
(* (* b b) (+ 3.0 a))

simplify71.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0506651
12520583
25001583

prune225.0ms

Filtered
93 candidates to 63 candidates (67.7%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New88593
Fresh000
Picked101
Done000
Total89594

Merged error: 0b

Counts
94 → 5

localize20.0ms

Local error

Found 4 expressions with local error:

0.9b
(* (* b b) (+ 3.0 a))
9.0b
(cbrt (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))))
9.0b
(cbrt (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))))
9.0b
(cbrt (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
10×*-un-lft-identity
9×pow1 add-exp-log cbrt-prod add-sqr-sqrt add-cbrt-cube
8×add-cube-cbrt
6×cbrt-div
4×flip3-+ associate-*r* flip-+ add-log-exp
3×pow1/3 pow-prod-down prod-exp cbrt-unprod
2×associate-*r/
1×distribute-rgt-in distribute-lft-in associate-*l* *-commutative distribute-lft-out unswap-sqr
Counts
4 → 63
Calls
4 calls:
8.0ms
(* (* b b) (+ 3.0 a))
6.0ms
(cbrt (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))))
10.0ms
(cbrt (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))))
6.0ms
(cbrt (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))))

series563.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(* (* b b) (+ 3.0 a))
177.0ms
(cbrt (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))))
177.0ms
(cbrt (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))))
178.0ms
(cbrt (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))))

simplify48.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
03381282
114701156
250021120

prune280.0ms

Filtered
75 candidates to 61 candidates (81.3%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New75075
Fresh044
Picked011
Done000
Total75580

Merged error: 0b

Counts
80 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (+ (pow a 4) (+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))) 1.0)
0.0b
(+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))
0.0b
(* 2 (* (pow a 2) (pow b 2)))
3.4b
(* (pow a 2) (pow b 2))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
39×add-exp-log
28×prod-exp
27×add-sqr-sqrt
16×unswap-sqr
15×add-log-exp
14×unpow-prod-down *-un-lft-identity
12×pow-to-exp pow-exp
11×associate-*l* add-cbrt-cube
10×unpow2 sqr-pow
9×add-cube-cbrt associate-*r*
6×pow1
4×sum-log cbrt-unprod
3×diff-log
2×pow-prod-down *-commutative distribute-lft-out--
1×+-commutative sub-neg flip3-- flip3-+ associate--l+ flip-- flip-+ distribute-lft-out difference-of-squares
Counts
4 → 105
Calls
4 calls:
11.0ms
(- (+ (pow a 4) (+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))) 1.0)
4.0ms
(+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))
7.0ms
(* 2 (* (pow a 2) (pow b 2)))
8.0ms
(* (pow a 2) (pow b 2))

series187.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(- (+ (pow a 4) (+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))) 1.0)
69.0ms
(+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))
34.0ms
(* 2 (* (pow a 2) (pow b 2)))
36.0ms
(* (pow a 2) (pow b 2))

simplify54.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0382781
11594689
25001676

prune204.0ms

Filtered
117 candidates to 61 candidates (52.1%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1170117
Fresh033
Picked011
Done011
Total1175122

Merged error: 0b

Counts
122 → 5

localize26.0ms

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))
0.9b
(* (* b b) (+ 3.0 a))
3.4b
(* (pow a 2) (pow b 2))

rewrite34.0ms

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))
7.0ms
(* (pow a 2) (pow b 2))

series155.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(* 2.0 (* (pow a 2) (pow b 2)))
54.0ms
(* (* a a) (- 1.0 a))
37.0ms
(* (* b b) (+ 3.0 a))
30.0ms
(* (pow a 2) (pow b 2))

simplify77.0ms

Algorithm
egg-herbie
Counts
139 → 139
Iterations

Useful iterations: 2 (68.0ms)

IterNodesCost
0520654
12666534
25001530

prune453.0ms

Filtered
139 candidates to 71 candidates (51.1%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1390139
Fresh022
Picked011
Done022
Total1395144

Merged error: 0b

Counts
144 → 5

regimes122.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02945
12945

end0.0ms

sample1.6s

Algorithm
intervals
Results
1.3s20618×body80valid