Details

Time bar (total: 2.7s)

sample251.0ms

Algorithm
intervals
Results
5.0ms81×body1280valid
3.0ms51×body640valid
3.0ms181×body80valid
1.0ms29×body320valid
0.0ms13×body160valid

simplify82.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0154
1404
21234
32794
44904
57134
610464
720014
838444
950014

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 41.1b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (+ x 1.0) (+ x 1.0))
3.6b
(- (* (+ x 1.0) (+ x 1.0)) 1.0)

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
21×*-un-lft-identity
10×add-sqr-sqrt
9×pow1
7×add-cube-cbrt
6×flip3-+ swap-sqr flip-+ distribute-lft-out
4×add-exp-log frac-times associate-*r* associate-*l* add-cbrt-cube add-log-exp
3×prod-diff
2×distribute-rgt-in expm1-log1p-u distribute-lft-in associate-*r/ associate-*l/ associate--l+ log1p-expm1-u
1×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:
8.0ms
(* (+ x 1.0) (+ x 1.0))
10.0ms
(- (* (+ x 1.0) (+ x 1.0)) 1.0)

series86.0ms

Counts
2 → 6
Calls
2 calls:
15.0ms
(* (+ x 1.0) (+ x 1.0))
70.0ms
(- (* (+ x 1.0) (+ x 1.0)) 1.0)

simplify48.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0281350
11394305
25001297

prune87.0ms

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
1×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:
1.0ms
(fma x 2.0 (pow x 2))

series52.0ms

Counts
1 → 3
Calls
1 calls:
52.0ms
(fma x 2.0 (pow x 2))

simplify46.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
02443
16738
226338
3104338
4500138

prune24.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (- (* x x) (* 1.0 1.0)) (+ (pow x 3) (pow 1.0 3)))
0.1b
(* (- x 1.0) (+ (* x x) (- (* 1.0 1.0) (* x 1.0))))
3.6b
(- (/ (* (- (* x x) (* 1.0 1.0)) (+ (pow x 3) (pow 1.0 3))) (* (- x 1.0) (+ (* x x) (- (* 1.0 1.0) (* x 1.0))))) 1.0)
11.1b
(/ (* (- (* x x) (* 1.0 1.0)) (+ (pow x 3) (pow 1.0 3))) (* (- x 1.0) (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))))

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
40×associate-/r/
39×*-un-lft-identity prod-diff
33×add-sqr-sqrt
32×frac-times
25×add-cube-cbrt flip3-- flip--
24×flip3-+ flip-+
20×add-exp-log add-cbrt-cube
16×associate-*r/ associate-*l/
13×fma-neg
12×associate-*r*
9×associate-*l*
8×pow1 associate-/l/
6×prod-exp cbrt-unprod add-log-exp
5×times-frac div-inv distribute-lft-out
4×cbrt-undiv expm1-log1p-u unpow-prod-down cube-prod div-exp log1p-expm1-u
3×difference-of-squares
2×distribute-rgt-in distribute-lft-in pow-prod-down *-commutative distribute-lft-out-- unswap-sqr
1×sub-neg frac-2neg diff-log clear-num associate-/r* sum-cubes associate-/l*
Counts
4 → 176
Calls
4 calls:
17.0ms
(* (- (* x x) (* 1.0 1.0)) (+ (pow x 3) (pow 1.0 3)))
11.0ms
(* (- x 1.0) (+ (* x x) (- (* 1.0 1.0) (* x 1.0))))
26.0ms
(- (/ (* (- (* x x) (* 1.0 1.0)) (+ (pow x 3) (pow 1.0 3))) (* (- x 1.0) (+ (* x x) (- (* 1.0 1.0) (* x 1.0))))) 1.0)
27.0ms
(/ (* (- (* x x) (* 1.0 1.0)) (+ (pow x 3) (pow 1.0 3))) (* (- x 1.0) (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))))

series914.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(* (- (* x x) (* 1.0 1.0)) (+ (pow x 3) (pow 1.0 3)))
40.0ms
(* (- x 1.0) (+ (* x x) (- (* 1.0 1.0) (* x 1.0))))
728.0ms
(- (/ (* (- (* x x) (* 1.0 1.0)) (+ (pow x 3) (pow 1.0 3))) (* (- x 1.0) (+ (* x x) (- (* 1.0 1.0) (* x 1.0))))) 1.0)
97.0ms
(/ (* (- (* x x) (* 1.0 1.0)) (+ (pow x 3) (pow 1.0 3))) (* (- x 1.0) (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))))

simplify51.0ms

Algorithm
egg-herbie
Counts
188 → 188
Iterations

Useful iterations: 1 (22.0ms)

IterNodesCost
09333424
150022875

prune472.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes13.0ms

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

sample466.0ms

Algorithm
intervals
Results
145.0ms2292×body1280valid
89.0ms1680×body640valid
80.0ms5438×body80valid
32.0ms847×body320valid
10.0ms387×body160valid