Details

Time bar (total: 1.6s)

sample250.0ms

Algorithm
intervals
Results
5.0ms60×body1280valid
3.0ms57×body640valid
3.0ms190×body80valid
1.0ms28×body320valid
0.0ms18×body160valid

simplify81.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0154
1404
21234
32794
44904
57134
610464
720014
838444
950014

prune3.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 38.5b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (+ x 1.0) (+ x 1.0))
4.9b
(- (* (+ x 1.0) (+ x 1.0)) 1.0)

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
21×*-un-lft-identity
10×add-sqr-sqrt
pow1
add-cube-cbrt
flip3-+ swap-sqr flip-+ distribute-lft-out
add-exp-log frac-times associate-*r* associate-*l* add-cbrt-cube add-log-exp
prod-diff
distribute-rgt-in expm1-log1p-u distribute-lft-in associate-*r/ associate-*l/ associate--l+ log1p-expm1-u
pow2 sub-neg flip3-- pow-plus fma-neg diff-log pow-prod-down prod-exp pow-sqr *-commutative pow-prod-up flip-- cbrt-unprod difference-of-squares unswap-sqr
Counts
2 → 63
Calls
2 calls:
16.0ms
(* (+ x 1.0) (+ x 1.0))
11.0ms
(- (* (+ x 1.0) (+ x 1.0)) 1.0)

series91.0ms

Counts
2 → 6
Calls
2 calls:
15.0ms
(* (+ x 1.0) (+ x 1.0))
75.0ms
(- (* (+ x 1.0) (+ x 1.0)) 1.0)

simplify49.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0281350
11394305
25001297

prune90.0ms

Filtered
69 candidates to 40 candidates (58.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b
(fma x 2.0 (pow x 2))

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
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
1 → 10
Calls
1 calls:
0.0ms
(fma x 2.0 (pow x 2))

series55.0ms

Counts
1 → 3
Calls
1 calls:
55.0ms
(fma x 2.0 (pow x 2))

simplify47.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
02443
16738
226338
3104338
4500138

prune23.0ms

Filtered
13 candidates to 10 candidates (76.9%)
Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(* x (+ x 1.0))
0.0b
(+ (* x (+ x 1.0)) (- (* 1.0 (+ x 1.0)) 1.0))
5.0b
(- (* 1.0 (+ x 1.0)) 1.0)

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
add-sqr-sqrt *-un-lft-identity
add-cube-cbrt associate-+r+
associate-*r/ prod-diff
pow1 add-exp-log add-cbrt-cube
distribute-rgt-in distribute-lft-in flip3-+ associate-*r* frac-add associate--l+ flip-+
expm1-log1p-u flip3-- associate-*l* flip-- log1p-expm1-u
sub-neg associate-+l+ diff-log sum-log
+-commutative associate-+r- fma-def fma-neg pow-prod-down prod-exp *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
3 → 74
Calls
3 calls:
9.0ms
(* x (+ x 1.0))
18.0ms
(+ (* x (+ x 1.0)) (- (* 1.0 (+ x 1.0)) 1.0))
5.0ms
(- (* 1.0 (+ x 1.0)) 1.0)

series117.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(* x (+ x 1.0))
53.0ms
(+ (* x (+ x 1.0)) (- (* 1.0 (+ x 1.0)) 1.0))
23.0ms
(- (* 1.0 (+ x 1.0)) 1.0)

simplify76.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 2 (67.0ms)

IterNodesCost
0422500
12295441
25001439

prune124.0ms

Filtered
83 candidates to 59 candidates (71.1%)
Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes11.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052

end0.0ms

sample485.0ms

Algorithm
intervals
Results
147.0ms2279×body1280valid
88.0ms5459×body80valid
87.0ms1662×body640valid
32.0ms834×body320valid
11.0ms419×body160valid