Details

Time bar (total: 5.2s)

sample52.0ms

Algorithm
intervals
Results
35.0ms643×body80valid

simplify70.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
05114
115514
243014
3119514
4252614
5500114

prune3.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

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

rewrite65.0ms

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:
28.0ms
(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))))
15.0ms
(* (* a a) (- 1.0 a))
5.0ms
(pow (+ (* a a) (* b b)) 2.0)
15.0ms
(* (* b b) (+ 3.0 a))

series304.0ms

Counts
4 → 12
Calls
4 calls:
113.0ms
(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))))
55.0ms
(* (* a a) (- 1.0 a))
103.0ms
(pow (+ (* a a) (* b b)) 2.0)
33.0ms
(* (* b b) (+ 3.0 a))

simplify70.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
0506651
12520583
25001583

prune251.0ms

Filtered
93 candidates to 63 candidates (67.7%)
Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (* a a) (- 1.0 a))
0.3b
(pow (+ (* a a) (* b b)) 2.0)
0.4b
(/ (* (* b b) (+ (pow 3.0 3) (pow a 3))) (+ (* 3.0 3.0) (- (* a a) (* 3.0 a))))
1.4b
(* (* b b) (+ (pow 3.0 3) (pow a 3)))

rewrite119.0ms

Algorithm
rewrite-expression-head
Rules
24×add-exp-log
23×add-cbrt-cube
22×*-un-lft-identity
15×pow1
14×add-sqr-sqrt associate-*r*
10×add-cube-cbrt
9×prod-exp cbrt-unprod
7×unpow-prod-down
6×associate-*r/ pow-prod-down
5×distribute-lft-out
4×cube-prod add-log-exp
3×cbrt-undiv distribute-rgt-in pow-unpow distribute-lft-in flip3-+ times-frac div-exp associate-/r* flip-+
2×sub-neg associate-*l* associate-/r/ *-commutative associate-/l/ unswap-sqr
1×pow-to-exp flip3-- pow-pow frac-2neg pow-exp clear-num sum-cubes flip-- div-inv associate-/l* distribute-lft-out-- difference-of-squares sqr-pow
Counts
4 → 100
Calls
4 calls:
15.0ms
(* (* a a) (- 1.0 a))
4.0ms
(pow (+ (* a a) (* b b)) 2.0)
38.0ms
(/ (* (* b b) (+ (pow 3.0 3) (pow a 3))) (+ (* 3.0 3.0) (- (* a a) (* 3.0 a))))
59.0ms
(* (* b b) (+ (pow 3.0 3) (pow a 3)))

series380.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(* (* a a) (- 1.0 a))
107.0ms
(pow (+ (* a a) (* b b)) 2.0)
134.0ms
(/ (* (* b b) (+ (pow 3.0 3) (pow a 3))) (+ (* 3.0 3.0) (- (* a a) (* 3.0 a))))
88.0ms
(* (* b b) (+ (pow 3.0 3) (pow a 3)))

simplify100.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 2 (89.0ms)

IterNodesCost
0611900
13644744
25001739

prune407.0ms

Filtered
112 candidates to 74 candidates (66.1%)
Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

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)))
1.6b
(* (pow a 2) (pow b 2))

rewrite180.0ms

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:
150.0ms
(- (+ (pow a 4) (+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))) 1.0)
6.0ms
(+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))
11.0ms
(* 2 (* (pow a 2) (pow b 2)))
9.0ms
(* (pow a 2) (pow b 2))

series187.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(- (+ (pow a 4) (+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))) 1.0)
52.0ms
(+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))
41.0ms
(* 2 (* (pow a 2) (pow b 2)))
36.0ms
(* (pow a 2) (pow b 2))

simplify56.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0382781
11594689
25001676

prune251.0ms

Filtered
117 candidates to 61 candidates (52.1%)
Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (* a a) (- 1.0 a))
0.4b
(/ (* (* b b) (+ (pow 3.0 3) (pow a 3))) (+ (* 3.0 3.0) (- (* a a) (* 3.0 a))))
1.4b
(* (* b b) (+ (pow 3.0 3) (pow a 3)))
1.6b
(* (pow a 2) (pow b 2))

rewrite128.0ms

Algorithm
rewrite-expression-head
Rules
35×add-exp-log
32×add-sqr-sqrt
25×add-cbrt-cube
24×*-un-lft-identity
22×associate-*r*
18×unpow-prod-down prod-exp unswap-sqr
14×pow1
12×add-cube-cbrt
10×associate-*l* cbrt-unprod unpow2 sqr-pow
7×pow-prod-down
6×pow-to-exp associate-*r/ pow-exp
5×distribute-lft-out
4×cube-prod add-log-exp
3×cbrt-undiv distribute-rgt-in distribute-lft-in flip3-+ times-frac div-exp associate-/r* *-commutative flip-+
2×sub-neg associate-/r/ associate-/l/
1×flip3-- frac-2neg clear-num sum-cubes flip-- div-inv associate-/l* distribute-lft-out-- difference-of-squares
Counts
4 → 134
Calls
4 calls:
15.0ms
(* (* a a) (- 1.0 a))
38.0ms
(/ (* (* b b) (+ (pow 3.0 3) (pow a 3))) (+ (* 3.0 3.0) (- (* a a) (* 3.0 a))))
61.0ms
(* (* b b) (+ (pow 3.0 3) (pow a 3)))
9.0ms
(* (pow a 2) (pow b 2))

series314.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(* (* a a) (- 1.0 a))
143.0ms
(/ (* (* b b) (+ (pow 3.0 3) (pow a 3))) (+ (* 3.0 3.0) (- (* a a) (* 3.0 a))))
89.0ms
(* (* b b) (+ (pow 3.0 3) (pow a 3)))
32.0ms
(* (pow a 2) (pow b 2))

simplify126.0ms

Algorithm
egg-herbie
Counts
146 → 146
Iterations

Useful iterations: 2 (109.0ms)

IterNodesCost
06751014
13971811
25002802

prune536.0ms

Filtered
146 candidates to 85 candidates (58.2%)
Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes82.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03522
13522

end0.0ms

sample1.4s

Algorithm
intervals
Results
1.0s20640×body80valid