Details

Time bar (total: 1.9s)

sample13.0ms

Algorithm
intervals
Results
5.0ms303×body80valid

simplify90.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0113
1213
2493
3733
4773
5893
61093
71533
82643
95383
106273
118353
1211563
1316093
1420883
1528313
1650013

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 2 expressions with local error:

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

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt *-un-lft-identity
5×add-cube-cbrt
4×pow1 add-exp-log associate-*l* add-cbrt-cube add-log-exp
3×associate-*r* prod-diff
2×expm1-log1p-u associate-*l/ log1p-expm1-u
1×sub-neg flip3-- flip3-+ fma-neg diff-log pow-prod-down prod-exp *-commutative flip-- cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
2 → 41
Calls
2 calls:
8.0ms
(- (* (+ x 1.0) y) x)
10.0ms
(* (+ x 1.0) y)

series45.0ms

Counts
2 → 6
Calls
2 calls:
19.0ms
(- (* (+ x 1.0) y) x)
26.0ms
(* (+ x 1.0) y)

simplify126.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0194202
1893173
24898169
35001169

prune90.0ms

Filtered
47 candidates to 34 candidates (72.3%)
Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(fma (+ x 1.0) y (- x))

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:
0.0ms
(fma (+ x 1.0) y (- x))

series21.0ms

Counts
1 → 3
Calls
1 calls:
21.0ms
(fma (+ x 1.0) y (- x))

simplify68.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
03259
18752
241952
3262052
4500252

prune32.0ms

Filtered
13 candidates to 10 candidates (76.9%)
Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma 1.0 y (* x y))
0.0b
(- (fma 1.0 y (* x y)) x)

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-un-lft-identity
9×add-cube-cbrt prod-diff
4×add-log-exp
3×fma-neg
2×pow1 add-exp-log expm1-log1p-u add-cbrt-cube fma-udef log1p-expm1-u
1×sub-neg flip3-- diff-log associate--l+ flip-- distribute-lft-out-- difference-of-squares
Counts
2 → 39
Calls
2 calls:
0.0ms
(fma 1.0 y (* x y))
3.0ms
(- (fma 1.0 y (* x y)) x)

series58.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(fma 1.0 y (* x y))
21.0ms
(- (fma 1.0 y (* x y)) x)

simplify92.0ms

Algorithm
egg-herbie
Counts
45 → 45
Iterations

Useful iterations: 3 (88.0ms)

IterNodesCost
0132287
1484206
23050195
35001176

prune74.0ms

Filtered
45 candidates to 29 candidates (64.4%)
Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x x) (- (* 1.0 1.0) (* x 1.0)))
0.0b
(- (/ (* (+ (pow x 3) (pow 1.0 3)) y) (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) x)
1.7b
(* (+ (pow x 3) (pow 1.0 3)) y)
16.4b
(/ (* (+ (pow x 3) (pow 1.0 3)) y) (+ (* x x) (- (* 1.0 1.0) (* x 1.0))))

rewrite204.0ms

Algorithm
rewrite-expression-head
Rules
37×*-un-lft-identity
29×add-sqr-sqrt
28×prod-diff
25×add-cube-cbrt
15×times-frac
11×add-exp-log add-cbrt-cube add-log-exp
10×associate-/r/
9×fma-neg associate-*l*
8×flip3-+ flip-+
6×pow1
5×div-inv distribute-lft-out
4×expm1-log1p-u unpow-prod-down cube-prod associate-*l/ log1p-expm1-u
3×associate-+r+ associate-*r* associate-/r*
2×cbrt-undiv sub-neg diff-log div-exp prod-exp sum-log cbrt-unprod associate-/l/
1×+-commutative associate-+r- flip3-- fma-def frac-2neg pow-prod-down clear-num sum-cubes *-commutative flip-- associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 126
Calls
4 calls:
10.0ms
(+ (* x x) (- (* 1.0 1.0) (* x 1.0)))
103.0ms
(- (/ (* (+ (pow x 3) (pow 1.0 3)) y) (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) x)
54.0ms
(* (+ (pow x 3) (pow 1.0 3)) y)
32.0ms
(/ (* (+ (pow x 3) (pow 1.0 3)) y) (+ (* x x) (- (* 1.0 1.0) (* x 1.0))))

series198.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(+ (* x x) (- (* 1.0 1.0) (* x 1.0)))
63.0ms
(- (/ (* (+ (pow x 3) (pow 1.0 3)) y) (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) x)
37.0ms
(* (+ (pow x 3) (pow 1.0 3)) y)
79.0ms
(/ (* (+ (pow x 3) (pow 1.0 3)) y) (+ (* x x) (- (* 1.0 1.0) (* x 1.0))))

simplify79.0ms

Algorithm
egg-herbie
Counts
138 → 138
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
05111765
124051375
250011339

prune329.0ms

Filtered
138 candidates to 92 candidates (66.7%)
Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes32.0ms

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
073
173

end0.0ms

sample322.0ms

Algorithm
intervals
Results
168.0ms9142×body80valid
0.0ms1×body1280valid