Details

Time bar (total: 5.3s)

sample50.0ms

Algorithm
intervals
Results
33.0ms590×body80valid

simplify52.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
05515
117914
256113
3182413
4500213

prune7.0ms

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
(fma 4.0 (fma (* a a) (+ 1.0 a) (* (* b b) (- 1.0 (* 3.0 a)))) (- (pow (+ (* a a) (* b b)) 2.0) 1.0))
0.1b
(fma (* a a) (+ 1.0 a) (* (* b b) (- 1.0 (* 3.0 a))))
0.4b
(pow (+ (* a a) (* b b)) 2.0)
0.5b
(* (* b b) (- 1.0 (* 3.0 a)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
10×pow1 add-exp-log add-sqr-sqrt
9×add-cube-cbrt *-un-lft-identity add-cbrt-cube
6×prod-diff
5×distribute-rgt-in distribute-lft-in
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×unpow-prod-down pow-unpow associate-*r* pow-prod-down prod-exp cbrt-unprod
2×sub-neg associate-*r/ fma-udef
1×pow-to-exp flip3-- pow-pow associate-*l* pow-exp *-commutative flip-- unswap-sqr sqr-pow
Counts
4 → 72
Calls
4 calls:
0.0ms
(fma 4.0 (fma (* a a) (+ 1.0 a) (* (* b b) (- 1.0 (* 3.0 a)))) (- (pow (+ (* a a) (* b b)) 2.0) 1.0))
0.0ms
(fma (* a a) (+ 1.0 a) (* (* b b) (- 1.0 (* 3.0 a))))
4.0ms
(pow (+ (* a a) (* b b)) 2.0)
12.0ms
(* (* b b) (- 1.0 (* 3.0 a)))

series313.0ms

Counts
4 → 12
Calls
4 calls:
106.0ms
(fma 4.0 (fma (* a a) (+ 1.0 a) (* (* b b) (- 1.0 (* 3.0 a)))) (- (pow (+ (* a a) (* b b)) 2.0) 1.0))
50.0ms
(fma (* a a) (+ 1.0 a) (* (* b b) (- 1.0 (* 3.0 a))))
102.0ms
(pow (+ (* a a) (* b b)) 2.0)
55.0ms
(* (* b b) (- 1.0 (* 3.0 a)))

simplify54.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0391706
11680606
25001592

prune274.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (* b b) (- 1.0 (* 3.0 a)))
17.4b
(cbrt (pow (+ (* a a) (* b b)) 2.0))
17.4b
(cbrt (pow (+ (* a a) (* b b)) 2.0))
17.4b
(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite27.0ms

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:
13.0ms
(* (* 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))

series505.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(* (* b b) (- 1.0 (* 3.0 a)))
146.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
153.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
150.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify40.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0315769
11231692
25002681

prune392.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.4b
(pow (+ (* a a) (* b b)) 2.0)
0.5b
(* (* b b) (- 1.0 (* 3.0 a)))
0.5b
(* (* b b) (- 1.0 (* 3.0 a)))
0.5b
(* (* b b) (- 1.0 (* 3.0 a)))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
20×pow1 add-exp-log
19×add-cbrt-cube
18×add-sqr-sqrt prod-diff
15×distribute-rgt-in add-cube-cbrt *-un-lft-identity distribute-lft-in
9×associate-*r* pow-prod-down prod-exp cbrt-unprod
6×sub-neg associate-*r/
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×unpow-prod-down pow-unpow flip3-- associate-*l* *-commutative flip-- unswap-sqr
1×pow-to-exp pow-pow pow-exp sqr-pow
Counts
4 → 118
Calls
4 calls:
4.0ms
(pow (+ (* a a) (* b b)) 2.0)
12.0ms
(* (* b b) (- 1.0 (* 3.0 a)))
12.0ms
(* (* b b) (- 1.0 (* 3.0 a)))
12.0ms
(* (* b b) (- 1.0 (* 3.0 a)))

series258.0ms

Counts
4 → 12
Calls
4 calls:
104.0ms
(pow (+ (* a a) (* b b)) 2.0)
50.0ms
(* (* b b) (- 1.0 (* 3.0 a)))
54.0ms
(* (* b b) (- 1.0 (* 3.0 a)))
50.0ms
(* (* b b) (- 1.0 (* 3.0 a)))

simplify49.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0304905
11350773
25002753

prune487.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.4b
(pow (+ (* a a) (* b b)) 2.0)
0.5b
(* (* b b) (- 1.0 (* 3.0 a)))
0.5b
(* (* b b) (- 1.0 (* 3.0 a)))
0.5b
(* (* b b) (- 1.0 (* 3.0 a)))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
20×pow1 add-exp-log
19×add-cbrt-cube
18×add-sqr-sqrt prod-diff
15×distribute-rgt-in add-cube-cbrt *-un-lft-identity distribute-lft-in
9×associate-*r* pow-prod-down prod-exp cbrt-unprod
6×sub-neg associate-*r/
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×unpow-prod-down pow-unpow flip3-- associate-*l* *-commutative flip-- unswap-sqr
1×pow-to-exp pow-pow pow-exp sqr-pow
Counts
4 → 118
Calls
4 calls:
4.0ms
(pow (+ (* a a) (* b b)) 2.0)
12.0ms
(* (* b b) (- 1.0 (* 3.0 a)))
12.0ms
(* (* b b) (- 1.0 (* 3.0 a)))
16.0ms
(* (* b b) (- 1.0 (* 3.0 a)))

series262.0ms

Counts
4 → 12
Calls
4 calls:
103.0ms
(pow (+ (* a a) (* b b)) 2.0)
55.0ms
(* (* b b) (- 1.0 (* 3.0 a)))
50.0ms
(* (* b b) (- 1.0 (* 3.0 a)))
55.0ms
(* (* b b) (- 1.0 (* 3.0 a)))

simplify44.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0304905
11350773
25002753

prune584.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.0b

regimes107.0ms

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
02113
12113

end0.0ms

sample1.6s

Algorithm
intervals
Results
1.2s20363×body80valid