Details

Time bar (total: 5.3s)

sample53.0ms

Algorithm
intervals
Results
35.0ms628×body80valid

simplify71.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05114
115514
243014
3119514
4252614
5500114

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

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) (+ 3.0 a)))))
0.1b
(* (* a a) (- 1.0 a))
0.3b
(pow (+ (* a a) (* b b)) 2.0)
0.7b
(* (* 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:
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))

series309.0ms

Counts
4 → 12
Calls
4 calls:
109.0ms
(+ (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))
108.0ms
(pow (+ (* a a) (* b b)) 2.0)
37.0ms
(* (* b b) (+ 3.0 a))

simplify65.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0506651
12520583
25001583

prune260.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (* a a) 1.0) (- (pow a 3)))
0.0b
(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (+ (* (* a a) 1.0) (- (pow a 3))) (* (* b b) (+ 3.0 a)))))
0.3b
(pow (+ (* a a) (* b b)) 2.0)
0.7b
(* (* b b) (+ 3.0 a))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
10×pow1 add-exp-log add-log-exp
9×*-un-lft-identity add-cbrt-cube
8×add-sqr-sqrt
7×add-cube-cbrt
4×associate-*r*
3×unpow-prod-down pow-unpow flip3-+ pow-prod-down prod-exp sum-log cbrt-unprod flip-+
2×+-commutative distribute-rgt-in associate-+r+ distribute-lft-in associate-*r/ distribute-lft-out
1×neg-sub0 pow-to-exp associate-+r- pow-pow distribute-rgt-neg-in unpow3 associate-*l* unsub-neg neg-log pow-exp *-commutative unswap-sqr sqr-pow
Counts
4 → 70
Calls
4 calls:
9.0ms
(+ (* (* a a) 1.0) (- (pow a 3)))
15.0ms
(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (+ (* (* a a) 1.0) (- (pow a 3))) (* (* b b) (+ 3.0 a)))))
4.0ms
(pow (+ (* a a) (* b b)) 2.0)
8.0ms
(* (* b b) (+ 3.0 a))

series331.0ms

Counts
4 → 12
Calls
4 calls:
83.0ms
(+ (* (* a a) 1.0) (- (pow a 3)))
110.0ms
(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (+ (* (* a a) 1.0) (- (pow a 3))) (* (* b b) (+ 3.0 a)))))
104.0ms
(pow (+ (* a a) (* b b)) 2.0)
33.0ms
(* (* b b) (+ 3.0 a))

simplify63.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
0474676
12351601
25001593

prune462.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.7b
(* (* b b) (+ 3.0 a))
21.3b
(cbrt (pow (+ (* a a) (* b b)) 2.0))
21.3b
(cbrt (pow (+ (* a a) (* b b)) 2.0))
21.3b
(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite26.0ms

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:
8.0ms
(* (* b b) (+ 3.0 a))
4.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
8.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
4.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))

series476.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(* (* b b) (+ 3.0 a))
149.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
151.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
144.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify36.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0262598
11088544
25002538

prune345.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

11.3b
(cbrt (pow (+ (* a a) (* b b)) (/ 2.0 2)))
11.3b
(cbrt (pow (+ (* a a) (* b b)) (/ 2.0 2)))
21.3b
(cbrt (pow (+ (* a a) (* b b)) 2.0))
21.3b
(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
28×cbrt-prod
12×add-sqr-sqrt add-cube-cbrt unpow-prod-down *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp sqr-pow
Counts
4 → 60
Calls
4 calls:
4.0ms
(cbrt (pow (+ (* a a) (* b b)) (/ 2.0 2)))
4.0ms
(cbrt (pow (+ (* a a) (* b b)) (/ 2.0 2)))
4.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
4.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))

series581.0ms

Counts
4 → 12
Calls
4 calls:
146.0ms
(cbrt (pow (+ (* a a) (* b b)) (/ 2.0 2)))
147.0ms
(cbrt (pow (+ (* a a) (* b b)) (/ 2.0 2)))
147.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
141.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify48.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 2 (12.0ms)

IterNodesCost
0156678
1373630
21313614
35001614

prune432.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes112.0ms

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
02916
12916

end0.0ms

sample1.4s

Algorithm
intervals
Results
1.1s20319×body80valid