Details

Time bar (total: 6.4s)

sample52.0ms

Algorithm
intervals
Results
32.0ms603×body80valid

simplify51.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
05515
117914
256113
3182413
4500213

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize16.0ms

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

rewrite163.0ms

Algorithm
rewrite-expression-head
Rules
18×associate-*r/
17×pow1 add-exp-log
16×add-sqr-sqrt add-cbrt-cube
14×*-un-lft-identity
12×add-cube-cbrt
10×associate-*r*
7×distribute-rgt-in distribute-lft-in pow-prod-down prod-exp cbrt-unprod
6×prod-diff
5×associate-*l*
4×expm1-log1p-u flip3-+ frac-add flip-+ log1p-expm1-u 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 → 106
Calls
4 calls:
86.0ms
(* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))
31.0ms
(* (* a a) (+ 1.0 a))
29.0ms
(* (* b b) (- 1.0 (* 3.0 a)))
14.0ms
(pow (+ (* a a) (* b b)) 2.0)

series277.0ms

Counts
4 → 12
Calls
4 calls:
69.0ms
(* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))
48.0ms
(* (* a a) (+ 1.0 a))
54.0ms
(* (* b b) (- 1.0 (* 3.0 a)))
106.0ms
(pow (+ (* a a) (* b b)) 2.0)

simplify112.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 2 (102.0ms)

IterNodesCost
0725894
14089793
25001790

prune347.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
15×*-un-lft-identity
12×add-sqr-sqrt
11×add-cube-cbrt
10×pow1 add-exp-log
9×add-cbrt-cube
8×cbrt-prod
6×prod-diff
5×distribute-rgt-in distribute-lft-in
4×expm1-log1p-u cbrt-div log1p-expm1-u add-log-exp
3×unpow-prod-down pow-unpow associate-*r* pow-prod-down prod-exp cbrt-unprod
2×sub-neg flip3-+ pow1/3 associate-*r/ flip-+ distribute-lft-out
1×pow-to-exp flip3-- pow-pow associate-*l* pow-exp *-commutative flip-- unswap-sqr sqr-pow
Counts
4 → 84
Calls
4 calls:
4.0ms
(cbrt (+ 1.0 a))
6.0ms
(cbrt (+ 1.0 a))
29.0ms
(* (* b b) (- 1.0 (* 3.0 a)))
10.0ms
(pow (+ (* a a) (* b b)) 2.0)

series336.0ms

Counts
4 → 12
Calls
4 calls:
90.0ms
(cbrt (+ 1.0 a))
88.0ms
(cbrt (+ 1.0 a))
49.0ms
(* (* b b) (- 1.0 (* 3.0 a)))
109.0ms
(pow (+ (* a a) (* b b)) 2.0)

simplify52.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0460639
11868573
25001558

prune566.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

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)))
17.2b
(cbrt (pow (+ (* a a) (* b b)) 2.0))
17.2b
(cbrt (pow (+ (* a a) (* b b)) 2.0))
17.2b
(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite109.0ms

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×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 117
Calls
4 calls:
76.0ms
(* (cbrt (pow (+ (* a a) (* b b)) 2.0)) (cbrt (pow (+ (* a a) (* b b)) 2.0)))
11.0ms
(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))

series620.0ms

Counts
4 → 12
Calls
4 calls:
159.0ms
(* (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))
159.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
152.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify98.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 3 (85.0ms)

IterNodesCost
02171556
17021473
233081390
350011383

prune498.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

2.8b
(sqrt (cbrt (pow (+ (* a a) (* b b)) 2.0)))
17.2b
(cbrt (pow (+ (* a a) (* b b)) 2.0))
17.2b
(cbrt (pow (+ (* a a) (* b b)) 2.0))
17.2b
(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
31×cbrt-prod
16×add-sqr-sqrt
13×add-cube-cbrt unpow-prod-down *-un-lft-identity
10×sqrt-prod
5×pow1 sqr-pow
4×add-exp-log expm1-log1p-u rem-sqrt-square pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
2×sqrt-pow1
1×pow1/2
Counts
4 → 77
Calls
4 calls:
20.0ms
(sqrt (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))
9.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))

series625.0ms

Counts
4 → 12
Calls
4 calls:
160.0ms
(sqrt (cbrt (pow (+ (* a a) (* b b)) 2.0)))
157.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
161.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
147.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify143.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 3 (33.0ms)

IterNodesCost
0157734
1354691
21149684
34997674
45001674

prune439.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes119.0ms

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

sample1.6s

Algorithm
intervals
Results
1.1s20441×body80valid