Details

Time bar (total: 2.9s)

sample15.0ms

Algorithm
intervals
Results
4.0ms57×body640valid
2.0ms130×body80valid
2.0ms37×body320valid
1.0ms32×body160valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
094
1124
2124

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.6b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1.0 (+ x 1.0))
5.2b
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
362×*-un-lft-identity
358×times-frac
265×add-sqr-sqrt
253×add-cube-cbrt
234×prod-diff
49×distribute-lft-out
35×div-inv
30×associate-/r/
18×fma-neg
15×flip3-+ flip-+
8×distribute-lft-out--
4×add-exp-log associate-/r* add-cbrt-cube add-log-exp difference-of-squares
3×associate-/l*
2×pow1 expm1-log1p-u log1p-expm1-u
1×cbrt-undiv sub-neg flip3-- frac-2neg diff-log div-exp clear-num frac-sub flip--
Counts
2 → 314
Calls
2 calls:
5.0ms
(/ 1.0 (+ x 1.0))
53.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

series88.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(/ 1.0 (+ x 1.0))
61.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

simplify107.0ms

Algorithm
egg-herbie
Counts
320 → 320
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
08736795
126454746
250013686

prune226.0ms

Filtered
320 candidates to 82 candidates (25.6%)
Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.2b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (+ x 1.0) x)
0.0b
(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
4.1b
(- x (+ x 1.0))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
26×*-un-lft-identity
17×add-exp-log add-sqr-sqrt add-cbrt-cube
13×add-cube-cbrt
12×prod-diff
8×add-log-exp
5×pow1 prod-exp cbrt-unprod distribute-lft-out
4×cbrt-undiv div-exp associate-*l* associate-*l/
3×expm1-log1p-u fma-neg associate-*r* log1p-expm1-u
2×flip3-- flip3-+ diff-log associate-*r/ associate-/r/ flip-- flip-+ associate-/l/ distribute-lft-out--
1×sub-neg frac-2neg times-frac pow-prod-down clear-num associate-/r* sum-log *-commutative div-inv associate-/l* associate--r+ difference-of-squares unswap-sqr
Counts
3 → 84
Calls
3 calls:
10.0ms
(* (+ x 1.0) x)
26.0ms
(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
10.0ms
(- x (+ x 1.0))

series88.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(* (+ x 1.0) x)
39.0ms
(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
7.0ms
(- x (+ x 1.0))

simplify69.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
0402611
12289439
25001426

prune140.0ms

Filtered
93 candidates to 59 candidates (63.4%)
Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1.0 (/ (+ x 1.0) (- 0 1.0)))
0.1b
(/ (/ 1.0 (/ (+ x 1.0) (- 0 1.0))) x)

rewrite98.0ms

Algorithm
rewrite-expression-head
Rules
959×times-frac
669×*-un-lft-identity
509×add-sqr-sqrt
381×add-cube-cbrt
86×associate-/l*
80×distribute-lft-out
64×distribute-lft-out-- difference-of-squares
37×associate-/r/
29×associate-/r*
22×div-inv
16×add-exp-log flip3-- add-cbrt-cube flip--
9×cbrt-undiv div-exp
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
1×associate-/l/
Counts
2 → 478
Calls
2 calls:
14.0ms
(/ 1.0 (/ (+ x 1.0) (- 0 1.0)))
38.0ms
(/ (/ 1.0 (/ (+ x 1.0) (- 0 1.0))) x)

series60.0ms

Counts
2 → 6
Calls
2 calls:
24.0ms
(/ 1.0 (/ (+ x 1.0) (- 0 1.0)))
36.0ms
(/ (/ 1.0 (/ (+ x 1.0) (- 0 1.0))) x)

simplify89.0ms

Algorithm
egg-herbie
Counts
484 → 484
Iterations

Useful iterations: 1 (32.0ms)

IterNodesCost
015965690
150025510

prune883.0ms

Filtered
484 candidates to 321 candidates (66.3%)
Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (+ x 1.0))
0.0b
(* (+ x 1.0) x)
0.3b
(/ (* 1.0 (/ (* (- 0 1.0) (+ x (+ x 1.0))) (fma 2 x 1.0))) (* (+ x 1.0) x))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
37×add-exp-log add-cbrt-cube
13×*-un-lft-identity prod-exp cbrt-unprod
12×cbrt-undiv div-exp
8×add-sqr-sqrt add-log-exp
6×add-cube-cbrt
5×pow1
4×associate-*l* associate-*l/ distribute-lft-out
3×expm1-log1p-u fma-def flip3-+ associate-*r* sum-log flip-+ log1p-expm1-u
2×distribute-frac-neg associate-/r/
1×+-commutative distribute-lft-neg-out associate-+r+ frac-2neg times-frac sub0-neg associate-*r/ pow-prod-down clear-num associate-/r* *-commutative distribute-rgt-neg-out div-inv associate-/l/ associate-/l* unswap-sqr
Counts
3 → 78
Calls
3 calls:
8.0ms
(+ x (+ x 1.0))
12.0ms
(* (+ x 1.0) x)
35.0ms
(/ (* 1.0 (/ (* (- 0 1.0) (+ x (+ x 1.0))) (fma 2 x 1.0))) (* (+ x 1.0) x))

series173.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(+ x (+ x 1.0))
42.0ms
(* (+ x 1.0) x)
94.0ms
(/ (* 1.0 (/ (* (- 0 1.0) (+ x (+ x 1.0))) (fma 2 x 1.0))) (* (+ x 1.0) x))

simplify87.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 2 (79.0ms)

IterNodesCost
0516714
13550478
25002431

prune166.0ms

Filtered
87 candidates to 58 candidates (66.7%)
Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes20.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0105
1105

end0.0ms

sample389.0ms

Algorithm
intervals
Results
139.0ms1938×body640valid
81.0ms4204×body80valid
63.0ms1217×body320valid
22.0ms642×body160valid