Details

Time bar (total: 4.9s)

sample55.0ms

Algorithm
intervals
Results
33.0ms673×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: 0.1b

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))
0.3b
(pow (+ (* a a) (* b b)) 2.0)
0.5b
(* (* b b) (+ 3.0 a))

rewrite135.0ms

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:
56.0ms
(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))))
35.0ms
(* (* a a) (- 1.0 a))
10.0ms
(pow (+ (* a a) (* b b)) 2.0)
31.0ms
(* (* b b) (+ 3.0 a))

series270.0ms

Counts
4 → 12
Calls
4 calls:
99.0ms
(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))))
49.0ms
(* (* a a) (- 1.0 a))
93.0ms
(pow (+ (* a a) (* b b)) 2.0)
29.0ms
(* (* b b) (+ 3.0 a))

simplify66.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
0506651
12520583
25001583

prune244.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (* b b) (+ 3.0 a))
20.3b
(cbrt (pow (+ (* a a) (* b b)) 2.0))
20.3b
(cbrt (pow (+ (* a a) (* b b)) 2.0))
20.3b
(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite62.0ms

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:
33.0ms
(* (* b b) (+ 3.0 a))
9.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
9.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
9.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))

series447.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(* (* b b) (+ 3.0 a))
140.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
136.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
142.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify37.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0262598
11088544
25002538

prune300.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (+ (pow a 4) (+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))) 1.0)
0.0b
(+ (pow a 4) (+ (pow b 4) (* 2 (* (pow a 2) (pow b 2)))))
1.4b
(* (pow a 2) (pow b 2))

rewrite300.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
17×add-log-exp
16×unswap-sqr
15×add-exp-log
14×unpow-prod-down *-un-lft-identity
10×unpow2 sqr-pow
9×prod-exp
8×associate-*r* associate-*l*
7×add-cube-cbrt
6×pow-to-exp pow-exp sum-log
5×add-cbrt-cube
3×pow1 diff-log
2×distribute-lft-out distribute-lft-out--
1×+-commutative sub-neg associate-+r+ flip3-- flip3-+ pow-prod-down associate--l+ *-commutative flip-- cbrt-unprod flip-+ difference-of-squares
Counts
3 → 83
Calls
3 calls:
241.0ms
(- (+ (pow a 4) (+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))) 1.0)
35.0ms
(+ (pow a 4) (+ (pow b 4) (* 2 (* (pow a 2) (pow b 2)))))
21.0ms
(* (pow a 2) (pow b 2))

series128.0ms

Counts
3 → 9
Calls
3 calls:
51.0ms
(- (+ (pow a 4) (+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))) 1.0)
45.0ms
(+ (pow a 4) (+ (pow b 4) (* 2 (* (pow a 2) (pow b 2)))))
32.0ms
(* (pow a 2) (pow b 2))

simplify47.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0334682
11417617
25001605

prune208.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b
(pow (pow (+ (* a a) (* b b)) 2.0) 3)
0.3b
(pow (+ (* a a) (* b b)) 2.0)
0.5b
(* (* b b) (+ 3.0 a))
25.6b
(cbrt (pow (pow (+ (* a a) (* b b)) 2.0) 3))

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
29×unpow-prod-down
20×cbrt-prod
19×*-un-lft-identity
18×add-sqr-sqrt
17×add-cube-cbrt
14×cube-prod
12×add-exp-log
10×pow1 add-cbrt-cube
7×sqr-pow
6×pow-unpow
5×pow-exp
4×associate-*r* add-log-exp
3×pow-to-exp pow-prod-down prod-exp cbrt-unprod
2×cube-mult pow-pow unpow3 associate-*r/
1×distribute-rgt-in distribute-lft-in flip3-+ pow1/3 associate-*l* *-commutative rem-cbrt-cube flip-+ distribute-lft-out rem-cube-cbrt unswap-sqr
Counts
4 → 103
Calls
4 calls:
18.0ms
(pow (pow (+ (* a a) (* b b)) 2.0) 3)
10.0ms
(pow (+ (* a a) (* b b)) 2.0)
33.0ms
(* (* b b) (+ 3.0 a))
17.0ms
(cbrt (pow (pow (+ (* a a) (* b b)) 2.0) 3))

series369.0ms

Counts
4 → 12
Calls
4 calls:
110.0ms
(pow (pow (+ (* a a) (* b b)) 2.0) 3)
94.0ms
(pow (+ (* a a) (* b b)) 2.0)
29.0ms
(* (* b b) (+ 3.0 a))
136.0ms
(cbrt (pow (pow (+ (* a a) (* b b)) 2.0) 3))

simplify60.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0428776
11923748
25001740

prune282.0ms

Pruning

4 alts after pruning (0 fresh and 4 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
02514
12514

end0.0ms

sample1.6s

Algorithm
intervals
Results
1.1s20628×body80valid