Details

Time bar (total: 4.5s)

sample52.0ms

Algorithm
intervals
Results
34.0ms640×body80valid

simplify56.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (8.0ms)

IterNodesCost
05515
117914
256113
3182413
4500213

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (pow (+ (* a a) (* b b)) 2.0) (* 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)
0.5b
(* (* b b) (- 1.0 (* 3.0 a)))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
15×pow1 add-exp-log
14×add-sqr-sqrt *-un-lft-identity add-cbrt-cube
12×add-cube-cbrt
7×distribute-rgt-in fma-def distribute-lft-in associate-*r*
6×unpow-prod-down prod-diff pow-prod-down prod-exp cbrt-unprod add-log-exp
4×expm1-log1p-u associate-*r/ log1p-expm1-u
3×pow-unpow
2×sub-neg associate-+r+ flip3-+ associate-*l* *-commutative flip-+ unswap-sqr sqr-pow
1×+-commutative pow-to-exp flip3-- pow-pow pow-exp sum-log flip-- distribute-lft-out
Counts
4 → 100
Calls
4 calls:
28.0ms
(+ (pow (+ (* a a) (* b b)) 2.0) (* 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)
13.0ms
(* (* b b) (- 1.0 (* 3.0 a)))

series361.0ms

Counts
4 → 12
Calls
4 calls:
123.0ms
(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a))))))
57.0ms
(* (* a a) (+ 1.0 a))
121.0ms
(pow (+ (* a a) (* b b)) 2.0)
60.0ms
(* (* b b) (- 1.0 (* 3.0 a)))

simplify80.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 2 (70.0ms)

IterNodesCost
0564828
12826724
25001715

prune355.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 4.0 (* (* b b) (- 1.0 (* 3.0 a))))
0.0b
(fma (pow a 2) (* (+ 1.0 a) 4.0) (pow (+ (* a a) (* b b)) 2.0))
0.3b
(pow (+ (* a a) (* b b)) 2.0)
0.5b
(* (* b b) (- 1.0 (* 3.0 a)))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
25×distribute-rgt-in distribute-lft-in
19×pow1 add-exp-log
18×prod-diff add-cbrt-cube
15×add-sqr-sqrt
14×add-cube-cbrt *-un-lft-identity
9×pow-prod-down prod-exp cbrt-unprod
6×sub-neg associate-*r/
4×expm1-log1p-u associate-*r* associate-*l* log1p-expm1-u add-log-exp
3×unpow-prod-down pow-unpow
2×flip3-- *-commutative flip--
1×pow-to-exp pow-pow pow-exp fma-udef unswap-sqr sqr-pow
Counts
4 → 107
Calls
4 calls:
27.0ms
(* 4.0 (* (* b b) (- 1.0 (* 3.0 a))))
0.0ms
(fma (pow a 2) (* (+ 1.0 a) 4.0) (pow (+ (* a a) (* b b)) 2.0))
4.0ms
(pow (+ (* a a) (* b b)) 2.0)
13.0ms
(* (* b b) (- 1.0 (* 3.0 a)))

series327.0ms

Counts
4 → 12
Calls
4 calls:
73.0ms
(* 4.0 (* (* b b) (- 1.0 (* 3.0 a))))
80.0ms
(fma (pow a 2) (* (+ 1.0 a) 4.0) (pow (+ (* a a) (* b b)) 2.0))
116.0ms
(pow (+ (* a a) (* b b)) 2.0)
56.0ms
(* (* b b) (- 1.0 (* 3.0 a)))

simplify71.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
0503959
12260824
25003819

prune358.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.1b
(fma (pow a 3) a (fma (* 2 (pow a 2)) (pow b 2) (pow b 4)))
0.7b
(fma (* 2 (pow a 2)) (pow b 2) (pow b 4))

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
2×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
2 → 20
Calls
2 calls:
0.0ms
(fma (pow a 3) a (fma (* 2 (pow a 2)) (pow b 2) (pow b 4)))
0.0ms
(fma (* 2 (pow a 2)) (pow b 2) (pow b 4))

series158.0ms

Counts
2 → 6
Calls
2 calls:
74.0ms
(fma (pow a 3) a (fma (* 2 (pow a 2)) (pow b 2) (pow b 4)))
85.0ms
(fma (* 2 (pow a 2)) (pow b 2) (pow b 4))

simplify61.0ms

Algorithm
egg-herbie
Counts
26 → 26
Iterations

Useful iterations: 3 (57.0ms)

IterNodesCost
076210
1319183
21501183
35002180

prune111.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 4.0 (* (* b b) (- 1.0 (* 3.0 a))))
0.0b
(fma (pow a 2) (* (+ 1.0 a) 4.0) (fma (* 2.0 (pow a 2)) (pow b 2) (pow b 4)))
0.5b
(* (* b b) (- 1.0 (* 3.0 a)))
0.7b
(fma (* 2.0 (pow a 2)) (pow b 2) (pow b 4))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
25×distribute-rgt-in distribute-lft-in
18×pow1 add-exp-log prod-diff add-cbrt-cube
13×add-sqr-sqrt
12×add-cube-cbrt *-un-lft-identity
9×pow-prod-down prod-exp cbrt-unprod
6×sub-neg associate-*r/
4×expm1-log1p-u associate-*r* associate-*l* log1p-expm1-u add-log-exp
2×flip3-- *-commutative flip-- fma-udef
1×unswap-sqr
Counts
4 → 98
Calls
4 calls:
27.0ms
(* 4.0 (* (* b b) (- 1.0 (* 3.0 a))))
0.0ms
(fma (pow a 2) (* (+ 1.0 a) 4.0) (fma (* 2.0 (pow a 2)) (pow b 2) (pow b 4)))
13.0ms
(* (* b b) (- 1.0 (* 3.0 a)))
0.0ms
(fma (* 2.0 (pow a 2)) (pow b 2) (pow b 4))

series323.0ms

Counts
4 → 12
Calls
4 calls:
77.0ms
(* 4.0 (* (* b b) (- 1.0 (* 3.0 a))))
100.0ms
(fma (pow a 2) (* (+ 1.0 a) 4.0) (fma (* 2.0 (pow a 2)) (pow b 2) (pow b 4)))
61.0ms
(* (* b b) (- 1.0 (* 3.0 a)))
84.0ms
(fma (* 2.0 (pow a 2)) (pow b 2) (pow b 4))

simplify67.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0436938
12017799
25001799

prune327.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes96.0ms

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
02815
12815

end0.0ms

sample1.4s

Algorithm
intervals
Results
1.1s20316×body80valid