Details

Time bar (total: 5.4s)

sample51.0ms

Algorithm
intervals
Results
34.0ms628×body80valid

simplify55.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (8.0ms)

IterNodesCost
05515
117914
256113
3182413
4500213

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

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)
0.5b
(* (* b b) (- 1.0 (* 3.0 a)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
15×pow1 add-exp-log
14×add-sqr-sqrt *-un-lft-identity add-cbrt-cube
12×add-cube-cbrt
9×prod-diff
7×associate-*r*
6×distribute-rgt-in distribute-lft-in pow-prod-down prod-exp cbrt-unprod add-log-exp
4×expm1-log1p-u associate-*r/ log1p-expm1-u
3×sub-neg unpow-prod-down pow-unpow fma-neg
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 → 98
Calls
4 calls:
3.0ms
(- 1.0 (* 3.0 a))
8.0ms
(* (* a a) (+ 1.0 a))
5.0ms
(pow (+ (* a a) (* b b)) 2.0)
8.0ms
(* (* b b) (- 1.0 (* 3.0 a)))

series246.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(- 1.0 (* 3.0 a))
50.0ms
(* (* a a) (+ 1.0 a))
103.0ms
(pow (+ (* a a) (* b b)) 2.0)
54.0ms
(* (* b b) (- 1.0 (* 3.0 a)))

simplify63.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
0464609
12250529
25002522

prune306.0ms

Pruning

4 alts after pruning (4 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) (pow a 3)) (* (* b b) (- 1.0 (* 3.0 a))))))
0.0b
(+ (* (* a a) 1.0) (pow a 3))
0.3b
(pow (+ (* a a) (* b b)) 2.0)
0.5b
(* (* b b) (- 1.0 (* 3.0 a)))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
11×add-cube-cbrt *-un-lft-identity
10×pow1 add-exp-log
9×add-cbrt-cube
8×fma-def add-log-exp
6×distribute-rgt-in unpow-prod-down distribute-lft-in prod-diff
4×expm1-log1p-u log1p-expm1-u
3×pow-unpow associate-*r* pow-prod-down prod-exp cbrt-unprod
2×+-commutative sub-neg associate-+r+ flip3-+ associate-*r/ sum-log flip-+ sqr-pow
1×pow-to-exp flip3-- pow-pow unpow3 associate-*l* pow-exp *-commutative flip-- distribute-lft-out unswap-sqr
Counts
4 → 89
Calls
4 calls:
16.0ms
(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (+ (* (* a a) 1.0) (pow a 3)) (* (* b b) (- 1.0 (* 3.0 a))))))
7.0ms
(+ (* (* a a) 1.0) (pow a 3))
5.0ms
(pow (+ (* a a) (* b b)) 2.0)
8.0ms
(* (* b b) (- 1.0 (* 3.0 a)))

series345.0ms

Counts
4 → 12
Calls
4 calls:
110.0ms
(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (+ (* (* a a) 1.0) (pow a 3)) (* (* b b) (- 1.0 (* 3.0 a))))))
80.0ms
(+ (* (* a a) 1.0) (pow a 3))
103.0ms
(pow (+ (* a a) (* b b)) 2.0)
50.0ms
(* (* b b) (- 1.0 (* 3.0 a)))

simplify70.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
0520827
12442722
25002703

prune353.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (* b b) (- 1.0 (* 3.0 a)))
21.3b
(cbrt (pow (+ (* a a) (* b b)) 2.0))
21.3b
(cbrt (pow (+ (* a a) (* b b)) 2.0))
21.3b
(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
21×cbrt-prod
14×add-sqr-sqrt
13×add-cube-cbrt *-un-lft-identity
9×pow1 add-exp-log unpow-prod-down add-cbrt-cube
6×prod-diff
5×distribute-rgt-in distribute-lft-in
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 associate-*r* pow-prod-down prod-exp cbrt-unprod sqr-pow
2×sub-neg associate-*r/
1×flip3-- associate-*l* *-commutative flip-- unswap-sqr
Counts
4 → 84
Calls
4 calls:
8.0ms
(* (* 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))
5.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))

series494.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(* (* b b) (- 1.0 (* 3.0 a)))
150.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
149.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
145.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify42.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0315769
11231692
25002681

prune424.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

11.3b
(cbrt (pow (+ (* a a) (* b b)) (/ 2.0 2)))
11.3b
(cbrt (pow (+ (* a a) (* b b)) (/ 2.0 2)))
21.3b
(cbrt (pow (+ (* a a) (* b b)) 2.0))
21.3b
(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
28×cbrt-prod
12×add-sqr-sqrt add-cube-cbrt unpow-prod-down *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp sqr-pow
Counts
4 → 68
Calls
4 calls:
5.0ms
(cbrt (pow (+ (* a a) (* b b)) (/ 2.0 2)))
4.0ms
(cbrt (pow (+ (* a a) (* b b)) (/ 2.0 2)))
4.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
4.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))

series617.0ms

Counts
4 → 12
Calls
4 calls:
156.0ms
(cbrt (pow (+ (* a a) (* b b)) (/ 2.0 2)))
161.0ms
(cbrt (pow (+ (* a a) (* b b)) (/ 2.0 2)))
150.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
150.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify48.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (12.0ms)

IterNodesCost
0163728
1392678
21340660
35001660

prune487.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes150.0ms

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
02916
12916

end0.0ms

sample1.5s

Algorithm
intervals
Results
1.1s20319×body80valid