Details

Time bar (total: 5.9s)

sample82.0ms

Algorithm
intervals
Results
66.0ms657×body80valid

simplify56.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0258
1418
2678
31198
43098
514948
650018

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite175.0ms

Algorithm
rewrite-expression-head
Rules
13×add-log-exp
8×add-sqr-sqrt *-un-lft-identity
6×add-cube-cbrt
5×pow1 add-exp-log
4×add-cbrt-cube
3×unpow-prod-down pow-unpow sum-log
2×+-commutative flip3-+ diff-log flip-+
1×pow-to-exp sub-neg flip3-- pow-pow pow-exp associate--l+ flip-- distribute-lft-out-- difference-of-squares sqr-pow
Counts
4 → 55
Calls
4 calls:
142.0ms
(- (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b))) 1.0)
24.0ms
(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))
3.0ms
(+ (* a a) (* b b))
4.0ms
(pow (+ (* a a) (* b b)) 2.0)

series272.0ms

Counts
4 → 12
Calls
4 calls:
76.0ms
(- (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b))) 1.0)
66.0ms
(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))
26.0ms
(+ (* a a) (* b b))
103.0ms
(pow (+ (* a a) (* b b)) 2.0)

simplify42.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0330556
11404524
25001517

prune177.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b
(pow (+ (* a a) (* b b)) 2.0)
0.3b
(pow (+ (* a a) (* b b)) 2.0)
10.9b
(sqrt (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b))))
10.9b
(sqrt (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b))))

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
10×add-cube-cbrt *-un-lft-identity
8×pow1
6×add-exp-log unpow-prod-down pow-unpow sqrt-prod
4×sqrt-div add-cbrt-cube add-log-exp
2×pow-to-exp rem-sqrt-square pow-pow sqrt-pow1 flip3-+ pow1/2 pow-exp flip-+ sqr-pow
Counts
4 → 64
Calls
4 calls:
4.0ms
(pow (+ (* a a) (* b b)) 2.0)
4.0ms
(pow (+ (* a a) (* b b)) 2.0)
28.0ms
(sqrt (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b))))
31.0ms
(sqrt (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b))))

series391.0ms

Counts
4 → 12
Calls
4 calls:
103.0ms
(pow (+ (* a a) (* b b)) 2.0)
102.0ms
(pow (+ (* a a) (* b b)) 2.0)
93.0ms
(sqrt (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b))))
93.0ms
(sqrt (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b))))

simplify105.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0202652
1753636
23003634
35002634

prune246.0ms

Pruning

3 alts after pruning (2 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)))
2.2b
(* (pow a 2) (pow b 2))

rewrite172.0ms

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:
143.0ms
(- (+ (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))))
10.0ms
(* 2 (* (pow a 2) (pow b 2)))
9.0ms
(* (pow a 2) (pow b 2))

series176.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(- (+ (pow a 4) (+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))) 1.0)
55.0ms
(+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))
35.0ms
(* 2 (* (pow a 2) (pow b 2)))
35.0ms
(* (pow a 2) (pow b 2))

simplify59.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0382781
11594689
25001676

prune259.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* a a) (* b b))
0.2b
(pow (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b))) 3)
0.3b
(pow (+ (* a a) (* b b)) 2.0)
33.7b
(cbrt (pow (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b))) 3))

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×unpow-prod-down
6×pow1 add-exp-log pow-unpow cube-prod add-log-exp
5×add-cbrt-cube
4×cube-div
3×flip3-+ flip-+ sqr-pow
2×cube-mult pow-to-exp cbrt-div pow-pow unpow3 pow-exp
1×+-commutative pow1/3 sum-log rem-cbrt-cube rem-cube-cbrt
Counts
4 → 76
Calls
4 calls:
3.0ms
(+ (* a a) (* b b))
35.0ms
(pow (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b))) 3)
5.0ms
(pow (+ (* a a) (* b b)) 2.0)
33.0ms
(cbrt (pow (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b))) 3))

series635.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(+ (* a a) (* b b))
432.0ms
(pow (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b))) 3)
107.0ms
(pow (+ (* a a) (* b b)) 2.0)
69.0ms
(cbrt (pow (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b))) 3))

simplify57.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0395880
11892810
25002804

prune223.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes93.0ms

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
01718
11718

end0.0ms

sample2.4s

Algorithm
intervals
Results
2.1s20396×body80valid