Details

Time bar (total: 4.2s)

sample52.0ms

Algorithm
intervals
Results
34.0ms628×body80valid

simplify96.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
05315
116115
245915
3132315
4299215
5500115

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(- 1.0 (* 3.0 a))
0.1b
(* (* a a) (+ 1.0 a))
0.3b
(pow (+ (* a a) (* b b)) 2.0)
0.5b
(* (* b b) (- 1.0 (* 3.0 a)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
15×pow1 add-exp-log
14×add-cbrt-cube
10×add-sqr-sqrt *-un-lft-identity
8×add-cube-cbrt
7×associate-*r*
6×pow-prod-down prod-exp cbrt-unprod add-log-exp
4×associate-*r/
3×distribute-rgt-in sub-neg unpow-prod-down pow-unpow distribute-lft-in
2×flip3-- associate-*l* *-commutative flip-- unswap-sqr
1×pow-to-exp pow-pow flip3-+ diff-log pow-exp flip-+ distribute-lft-out sqr-pow
Counts
4 → 78
Calls
4 calls:
3.0ms
(- 1.0 (* 3.0 a))
8.0ms
(* (* a a) (+ 1.0 a))
4.0ms
(pow (+ (* a a) (* b b)) 2.0)
7.0ms
(* (* b b) (- 1.0 (* 3.0 a)))

series249.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(- 1.0 (* 3.0 a))
47.0ms
(* (* a a) (+ 1.0 a))
111.0ms
(pow (+ (* a a) (* b b)) 2.0)
50.0ms
(* (* b b) (- 1.0 (* 3.0 a)))

simplify56.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0408475
11999415
25002415

prune237.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize23.0ms

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) (- 1.0 (* 3.0 a))))))
0.1b
(* a (* a (+ 1.0 a)))
0.3b
(pow (+ (* a a) (* b b)) 2.0)
0.5b
(* (* b b) (- 1.0 (* 3.0 a)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
15×pow1 add-exp-log
14×add-cbrt-cube
9×add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity
7×distribute-rgt-in distribute-lft-in
6×associate-*r/ pow-prod-down prod-exp cbrt-unprod add-log-exp
4×associate-*r* associate-*l*
3×unpow-prod-down pow-unpow
2×sub-neg associate-+r+ flip3-+ *-commutative flip-+
1×+-commutative pow-to-exp flip3-- pow-pow pow-exp sum-log flip-- unswap-sqr sqr-pow
Counts
4 → 79
Calls
4 calls:
7.0ms
(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* a (* a (+ 1.0 a))) (* (* b b) (- 1.0 (* 3.0 a))))))
7.0ms
(* a (* a (+ 1.0 a)))
4.0ms
(pow (+ (* a a) (* b b)) 2.0)
7.0ms
(* (* b b) (- 1.0 (* 3.0 a)))

series320.0ms

Counts
4 → 12
Calls
4 calls:
111.0ms
(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* a (* a (+ 1.0 a))) (* (* b b) (- 1.0 (* 3.0 a))))))
48.0ms
(* a (* a (+ 1.0 a)))
111.0ms
(pow (+ (* a a) (* b b)) 2.0)
50.0ms
(* (* b b) (- 1.0 (* 3.0 a)))

simplify69.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
0495703
12301619
25003619

prune253.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))
0.0b
(+ (pow a 4) (+ (pow b 4) (* 2 (* (pow a 2) (pow b 2)))))
0.0b
(* 2 (* (pow a 2) (pow b 2)))
1.8b
(* (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:
5.0ms
(+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))
8.0ms
(+ (pow a 4) (+ (pow b 4) (* 2 (* (pow a 2) (pow b 2)))))
7.0ms
(* 2 (* (pow a 2) (pow b 2)))
11.0ms
(* (pow a 2) (pow b 2))

series182.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))
51.0ms
(+ (pow a 4) (+ (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))

simplify58.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0375699
11613622
25001616

prune257.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b
(- 1.0 (* 3.0 a))
0.1b
(* a (* a (+ 1.0 a)))
0.5b
(* (* b b) (- 1.0 (* 3.0 a)))
1.8b
(* (pow a 2) (pow b 2))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
26×add-exp-log
17×unswap-sqr
16×add-cbrt-cube
15×prod-exp
14×pow1 unpow-prod-down
12×associate-*r* associate-*l*
10×add-cube-cbrt *-un-lft-identity unpow2 sqr-pow
7×pow-prod-down cbrt-unprod
6×distribute-rgt-in pow-to-exp distribute-lft-in associate-*r/ pow-exp add-log-exp
3×sub-neg *-commutative
2×flip3-- flip--
1×flip3-+ diff-log flip-+
Counts
4 → 112
Calls
4 calls:
3.0ms
(- 1.0 (* 3.0 a))
7.0ms
(* a (* a (+ 1.0 a)))
7.0ms
(* (* b b) (- 1.0 (* 3.0 a)))
7.0ms
(* (pow a 2) (pow b 2))

series176.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(- 1.0 (* 3.0 a))
54.0ms
(* a (* a (+ 1.0 a)))
54.0ms
(* (* b b) (- 1.0 (* 3.0 a)))
33.0ms
(* (pow a 2) (pow b 2))

simplify74.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
0464594
12399486
25002481

prune330.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes72.0ms

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
02915
12915

end0.0ms

sample1.5s

Algorithm
intervals
Results
1.1s20319×body80valid