Details

Time bar (total: 5.5s)

sample55.0ms

Algorithm
intervals
Results
37.0ms690×body80valid

simplify92.0ms

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

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 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)
0.7b
(* (* b b) (- 1.0 (* 3.0 a)))

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
18×associate-*r/
17×pow1 add-exp-log
16×add-cbrt-cube
14×add-sqr-sqrt
12×*-un-lft-identity
10×add-cube-cbrt associate-*r*
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 sqr-pow
Counts
4 → 92
Calls
4 calls:
40.0ms
(* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))
14.0ms
(* (* a a) (+ 1.0 a))
4.0ms
(pow (+ (* a a) (* b b)) 2.0)
12.0ms
(* (* b b) (- 1.0 (* 3.0 a)))

series289.0ms

Counts
4 → 12
Calls
4 calls:
69.0ms
(* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))
57.0ms
(* (* a a) (+ 1.0 a))
111.0ms
(pow (+ (* a a) (* b b)) 2.0)
52.0ms
(* (* b b) (- 1.0 (* 3.0 a)))

simplify100.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 1 (18.0ms)

IterNodesCost
0658794
13720707
25001707

prune302.0ms

Filtered
104 candidates to 69 candidates (66.3%)
Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 4.0 (+ (* a (* a (+ 1.0 a))) (* (* b b) (- 1.0 (* 3.0 a)))))
0.0b
(* a (* a (+ 1.0 a)))
0.3b
(pow (+ (* a a) (* b b)) 2.0)
0.7b
(* (* b b) (- 1.0 (* 3.0 a)))

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
24×associate-*r/
17×pow1 add-exp-log
16×add-cbrt-cube
13×add-sqr-sqrt
10×add-cube-cbrt *-un-lft-identity
7×distribute-rgt-in distribute-lft-in associate-*r* associate-*l* pow-prod-down prod-exp cbrt-unprod
4×flip3-+ frac-add flip-+ add-log-exp
3×unpow-prod-down pow-unpow flip3-- *-commutative flip--
2×sub-neg unswap-sqr
1×pow-to-exp pow-pow pow-exp sqr-pow
Counts
4 → 92
Calls
4 calls:
49.0ms
(* 4.0 (+ (* a (* a (+ 1.0 a))) (* (* b b) (- 1.0 (* 3.0 a)))))
12.0ms
(* a (* a (+ 1.0 a)))
4.0ms
(pow (+ (* a a) (* b b)) 2.0)
12.0ms
(* (* b b) (- 1.0 (* 3.0 a)))

series292.0ms

Counts
4 → 12
Calls
4 calls:
71.0ms
(* 4.0 (+ (* a (* a (+ 1.0 a))) (* (* b b) (- 1.0 (* 3.0 a)))))
57.0ms
(* a (* a (+ 1.0 a)))
110.0ms
(pow (+ (* a a) (* b b)) 2.0)
53.0ms
(* (* b b) (- 1.0 (* 3.0 a)))

simplify92.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 1 (18.0ms)

IterNodesCost
0648795
13383706
25001706

prune432.0ms

Filtered
104 candidates to 67 candidates (64.4%)
Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.7b
(* (* b b) (- 1.0 (* 3.0 a)))
17.9b
(cbrt (pow (+ (* a a) (* b b)) 2.0))
17.9b
(cbrt (pow (+ (* a a) (* b b)) 2.0))
17.9b
(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
21×cbrt-prod
12×add-sqr-sqrt
11×add-cube-cbrt *-un-lft-identity
9×pow1 add-exp-log unpow-prod-down add-cbrt-cube
4×add-log-exp
3×pow1/3 associate-*r* pow-prod-down prod-exp cbrt-unprod sqr-pow
2×distribute-rgt-in sub-neg distribute-lft-in associate-*r/
1×flip3-- associate-*l* *-commutative flip-- unswap-sqr
Counts
4 → 70
Calls
4 calls:
12.0ms
(* (* b b) (- 1.0 (* 3.0 a)))
4.0ms
(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))

series509.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(* (* b b) (- 1.0 (* 3.0 a)))
153.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
153.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
151.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify37.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0266651
11020585
25001579

prune332.0ms

Filtered
82 candidates to 64 candidates (78.0%)
Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

10.2b
(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
10.2b
(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
17.9b
(cbrt (pow (+ (* a a) (* b b)) 2.0))
17.9b
(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
34×cbrt-prod
18×unpow-prod-down
14×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×sqrt-prod
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp sqr-pow
Counts
4 → 66
Calls
4 calls:
5.0ms
(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
5.0ms
(cbrt (pow (sqrt (+ (* 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))

series602.0ms

Counts
4 → 12
Calls
4 calls:
149.0ms
(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
151.0ms
(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
152.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
150.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify135.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 3 (32.0ms)

IterNodesCost
0172764
1365712
21183704
34879694
45001694

prune381.0ms

Filtered
78 candidates to 62 candidates (79.5%)
Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes112.0ms

Accuracy

0% (0.1b 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

sample1.4s

Algorithm
intervals
Results
1.1s20581×body80valid