Details

Time bar (total: 5.0s)

sample53.0ms

Algorithm
intervals
Results
35.0ms643×body80valid

simplify90.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05315
116115
245915
3132315
4299215
5500115

prune3.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b
(- 1.0 (* 3.0 a))
0.1b
(* (* a a) (+ 1.0 a))
0.3b
(pow (+ (* a a) (* b b)) 2.0)
0.4b
(* (* b b) (- 1.0 (* 3.0 a)))

rewrite48.0ms

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:
2.0ms
(- 1.0 (* 3.0 a))
14.0ms
(* (* a a) (+ 1.0 a))
8.0ms
(pow (+ (* a a) (* b b)) 2.0)
22.0ms
(* (* b b) (- 1.0 (* 3.0 a)))

series236.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(- 1.0 (* 3.0 a))
46.0ms
(* (* a a) (+ 1.0 a))
100.0ms
(pow (+ (* a a) (* b b)) 2.0)
51.0ms
(* (* b b) (- 1.0 (* 3.0 a)))

simplify50.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0408475
11999415
25002415

prune227.0ms

Filtered
90 candidates to 57 candidates (63.3%)
Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

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)
0.4b
(* (* b b) (- 1.0 (* 3.0 a)))

rewrite31.0ms

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
6×distribute-rgt-in distribute-lft-in associate-*r/ pow-prod-down prod-exp cbrt-unprod add-log-exp
4×associate-*r* associate-*l*
3×sub-neg unpow-prod-down pow-unpow
2×flip3-- *-commutative flip--
1×pow-to-exp pow-pow flip3-+ diff-log pow-exp flip-+ unswap-sqr sqr-pow
Counts
4 → 78
Calls
4 calls:
2.0ms
(- 1.0 (* 3.0 a))
11.0ms
(* a (* a (+ 1.0 a)))
4.0ms
(pow (+ (* a a) (* b b)) 2.0)
12.0ms
(* (* b b) (- 1.0 (* 3.0 a)))

series237.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(- 1.0 (* 3.0 a))
52.0ms
(* a (* a (+ 1.0 a)))
100.0ms
(pow (+ (* a a) (* b b)) 2.0)
51.0ms
(* (* b b) (- 1.0 (* 3.0 a)))

simplify47.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0399476
11807412
25001412

prune229.0ms

Filtered
90 candidates to 55 candidates (61.1%)
Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b
(cbrt (+ 1.0 a))
0.1b
(* (cbrt (+ 1.0 a)) (cbrt (+ 1.0 a)))
0.3b
(pow (+ (* a a) (* b b)) 2.0)
0.4b
(* (* b b) (- 1.0 (* 3.0 a)))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
32×*-un-lft-identity
28×cbrt-prod
25×add-sqr-sqrt
17×pow1
16×add-cube-cbrt
14×cbrt-div
12×add-exp-log
10×associate-*r*
9×swap-sqr add-cbrt-cube
8×associate-*l*
7×flip3-+ pow1/3 flip-+ distribute-lft-out
5×pow-prod-down unswap-sqr
4×frac-times associate-*r/ prod-exp cbrt-unprod add-log-exp
3×unpow-prod-down pow-unpow
2×distribute-rgt-in sub-neg distribute-lft-in associate-*l/ pow-sqr *-commutative pow-prod-up
1×pow2 pow-to-exp flip3-- pow-pow pow-plus pow-exp flip-- sqr-pow
Counts
4 → 109
Calls
4 calls:
2.0ms
(cbrt (+ 1.0 a))
22.0ms
(* (cbrt (+ 1.0 a)) (cbrt (+ 1.0 a)))
4.0ms
(pow (+ (* a a) (* b b)) 2.0)
12.0ms
(* (* b b) (- 1.0 (* 3.0 a)))

series340.0ms

Counts
4 → 12
Calls
4 calls:
88.0ms
(cbrt (+ 1.0 a))
105.0ms
(* (cbrt (+ 1.0 a)) (cbrt (+ 1.0 a)))
99.0ms
(pow (+ (* a a) (* b b)) 2.0)
47.0ms
(* (* b b) (- 1.0 (* 3.0 a)))

simplify61.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0537847
12167778
25002738

prune395.0ms

Filtered
121 candidates to 78 candidates (64.5%)
Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (pow (+ (* a a) (* b b)) 2.0)) (cbrt (pow (+ (* a a) (* b b)) 2.0)))
18.6b
(cbrt (pow (+ (* a a) (* b b)) 2.0))
18.6b
(cbrt (pow (+ (* a a) (* b b)) 2.0))
18.6b
(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
73×cbrt-prod
46×add-sqr-sqrt
29×unpow-prod-down
22×add-cube-cbrt *-un-lft-identity
16×unswap-sqr
15×sqr-pow
11×pow1
10×swap-sqr associate-*r* associate-*l*
9×pow1/3
6×add-exp-log
4×add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 109
Calls
4 calls:
35.0ms
(* (cbrt (pow (+ (* a a) (* b b)) 2.0)) (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))
4.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))

series593.0ms

Counts
4 → 12
Calls
4 calls:
143.0ms
(* (cbrt (pow (+ (* a a) (* b b)) 2.0)) (cbrt (pow (+ (* a a) (* b b)) 2.0)))
149.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
146.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
155.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify100.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 3 (81.0ms)

IterNodesCost
02111498
16811419
232741337
350011330

prune455.0ms

Filtered
121 candidates to 88 candidates (72.7%)
Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes131.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03122
13122

end0.0ms

sample1.5s

Algorithm
intervals
Results
1.2s20640×body80valid