Details

Time bar (total: 4.3s)

sample53.0ms

Algorithm
intervals
Results
35.0ms670×body80valid

simplify70.0ms

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
(* 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)
0.6b
(* (* b b) (+ 3.0 a))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
18×associate-*r/
17×pow1 add-exp-log
16×add-sqr-sqrt add-cbrt-cube
14×*-un-lft-identity
12×associate-*r*
10×add-cube-cbrt
7×pow-prod-down prod-exp cbrt-unprod
5×associate-*l*
4×distribute-rgt-in distribute-lft-in flip3-+ frac-add flip-+ add-log-exp
3×unpow-prod-down pow-unpow flip3-- *-commutative flip-- unswap-sqr
2×sub-neg
1×pow-to-exp pow-pow pow-exp distribute-lft-out distribute-lft-out-- difference-of-squares sqr-pow
Counts
4 → 94
Calls
4 calls:
12.0ms
(* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))
9.0ms
(* (* a a) (- 1.0 a))
4.0ms
(pow (+ (* a a) (* b b)) 2.0)
8.0ms
(* (* b b) (+ 3.0 a))

series253.0ms

Counts
4 → 12
Calls
4 calls:
63.0ms
(* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))
50.0ms
(* (* a a) (- 1.0 a))
106.0ms
(pow (+ (* a a) (* b b)) 2.0)
33.0ms
(* (* b b) (+ 3.0 a))

simplify98.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 1 (19.0ms)

IterNodesCost
0641720
13571649
25001649

prune301.0ms

Filtered
106 candidates to 71 candidates (67.0%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1006106
Fresh000
Picked101
Done000
Total1016107

Merged error: 0.1b

Counts
107 → 6

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (* b b) (+ 3.0 a))
21.4b
(cbrt (* (* a a) (- 1.0 a)))
21.4b
(cbrt (* (* a a) (- 1.0 a)))
21.4b
(cbrt (* (* a a) (- 1.0 a)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1 add-exp-log add-cbrt-cube
8×associate-*r/
7×*-un-lft-identity
6×add-sqr-sqrt cbrt-div
5×add-cube-cbrt
4×associate-*r* add-log-exp
3×cbrt-prod flip3-- pow1/3 pow-prod-down prod-exp flip-- cbrt-unprod
1×distribute-rgt-in distribute-lft-in flip3-+ associate-*l* *-commutative flip-+ distribute-lft-out unswap-sqr
Counts
4 → 57
Calls
4 calls:
8.0ms
(* (* b b) (+ 3.0 a))
6.0ms
(cbrt (* (* a a) (- 1.0 a)))
7.0ms
(cbrt (* (* a a) (- 1.0 a)))
6.0ms
(cbrt (* (* a a) (- 1.0 a)))

series330.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(* (* b b) (+ 3.0 a))
102.0ms
(cbrt (* (* a a) (- 1.0 a)))
97.0ms
(cbrt (* (* a a) (- 1.0 a)))
96.0ms
(cbrt (* (* a a) (- 1.0 a)))

simplify41.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0330559
11337490
25001457

prune295.0ms

Filtered
69 candidates to 55 candidates (79.7%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New69069
Fresh055
Picked011
Done000
Total69675

Merged error: 0.1b

Counts
75 → 6

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (pow (+ (* a a) (* b b)) 2.0) (- (+ (* 4.0 (pow a 2)) (* 12.0 (pow b 2))) (* 4.0 (pow a 3))))
0.0b
(- (+ (* 4.0 (pow a 2)) (* 12.0 (pow b 2))) (* 4.0 (pow a 3)))
0.2b
(* 12.0 (pow b 2))
0.3b
(pow (+ (* a a) (* b b)) 2.0)

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
18×add-log-exp
15×add-sqr-sqrt
11×*-un-lft-identity
10×add-exp-log
9×add-cube-cbrt
8×associate-*r*
7×unpow-prod-down
6×add-cbrt-cube
5×pow1 sum-log
4×diff-log unswap-sqr
3×pow-unpow associate-+r+ associate-*l* prod-exp sqr-pow
2×pow-to-exp sub-neg pow-exp associate--l+ unpow2
1×+-commutative associate-+r- flip3-- pow-pow flip3-+ *-commutative flip-- cbrt-unprod flip-+ distribute-lft-out
Counts
4 → 76
Calls
4 calls:
11.0ms
(+ (pow (+ (* a a) (* b b)) 2.0) (- (+ (* 4.0 (pow a 2)) (* 12.0 (pow b 2))) (* 4.0 (pow a 3))))
7.0ms
(- (+ (* 4.0 (pow a 2)) (* 12.0 (pow b 2))) (* 4.0 (pow a 3)))
10.0ms
(* 12.0 (pow b 2))
5.0ms
(pow (+ (* a a) (* b b)) 2.0)

series284.0ms

Counts
4 → 12
Calls
4 calls:
99.0ms
(+ (pow (+ (* a a) (* b b)) 2.0) (- (+ (* 4.0 (pow a 2)) (* 12.0 (pow b 2))) (* 4.0 (pow a 3))))
51.0ms
(- (+ (* 4.0 (pow a 2)) (* 12.0 (pow b 2))) (* 4.0 (pow a 3)))
25.0ms
(* 12.0 (pow b 2))
108.0ms
(pow (+ (* a a) (* b b)) 2.0)

simplify48.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0364737
11466694
25001686

prune307.0ms

Filtered
88 candidates to 60 candidates (68.2%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New85388
Fresh404
Picked101
Done011
Total90494

Merged error: 0.0b

Counts
94 → 4

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)))))
0.0b
(+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))
0.0b
(* 2 (* (pow a 2) (pow b 2)))
3.1b
(* (pow a 2) (pow b 2))

rewrite35.0ms

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)))))
5.0ms
(+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))
11.0ms
(* 2 (* (pow a 2) (pow b 2)))
8.0ms
(* (pow a 2) (pow b 2))

series185.0ms

Counts
4 → 12
Calls
4 calls:
57.0ms
(+ (pow a 4) (+ (pow b 4) (* 2 (* (pow a 2) (pow b 2)))))
53.0ms
(+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))
41.0ms
(* 2 (* (pow a 2) (pow b 2)))
33.0ms
(* (pow a 2) (pow b 2))

simplify57.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0375699
11613622
25001616

prune249.0ms

Filtered
113 candidates to 60 candidates (53.1%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1121113
Fresh022
Picked101
Done011
Total1134117

Merged error: 0.0b

Counts
117 → 4

regimes80.0ms

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
02925
12925

end0.0ms

sample1.4s

Algorithm
intervals
Results
1.1s20277×body80valid