Details

Time bar (total: 2.7s)

sample17.0ms

Algorithm
intervals
Results
5.0ms63×body640valid
3.0ms127×body80valid
2.0ms42×body320valid
1.0ms24×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: 13.1b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1.0 (+ x 1.0))
2.8b
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
40×*-un-lft-identity
28×times-frac
27×add-sqr-sqrt
15×add-cube-cbrt
8×distribute-lft-out--
7×distribute-lft-out
4×add-exp-log associate-/r* add-cbrt-cube add-log-exp difference-of-squares
3×div-inv associate-/l*
2×pow1 associate-/r/
1×cbrt-undiv sub-neg flip3-- frac-2neg flip3-+ diff-log div-exp clear-num frac-sub flip-- flip-+
Counts
2 → 58
Calls
2 calls:
6.0ms
(/ 1.0 (+ x 1.0))
36.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

series85.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(/ 1.0 (+ x 1.0))
60.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

simplify153.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
0266392
1898369
24185367
35001367

prune122.0ms

Filtered
64 candidates to 47 candidates (73.4%)
Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize6.0ms

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))
1.9b
(- x (+ x 1.0))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
17×add-exp-log add-cbrt-cube
12×*-un-lft-identity
9×add-sqr-sqrt
8×add-log-exp
5×pow1 add-cube-cbrt prod-exp cbrt-unprod
4×cbrt-undiv div-exp associate-*l* associate-*l/
3×associate-*r*
2×flip3-- flip3-+ diff-log associate-*r/ associate-/r/ flip-- flip-+ associate-/l/ distribute-lft-out 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 → 63
Calls
3 calls:
9.0ms
(* (+ x 1.0) x)
14.0ms
(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
7.0ms
(- x (+ x 1.0))

series89.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(* (+ x 1.0) x)
38.0ms
(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
7.0ms
(- x (+ x 1.0))

simplify58.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0345395
12045325
25003316

prune121.0ms

Filtered
72 candidates to 48 candidates (66.7%)
Pruning

5 alts after pruning (4 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)

rewrite88.0ms

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 frac-2neg clear-num add-log-exp
1×associate-/l/
Counts
2 → 474
Calls
2 calls:
16.0ms
(/ 1.0 (/ (+ x 1.0) (- 0 1.0)))
36.0ms
(/ (/ 1.0 (/ (+ x 1.0) (- 0 1.0))) x)

series68.0ms

Counts
2 → 6
Calls
2 calls:
24.0ms
(/ 1.0 (/ (+ x 1.0) (- 0 1.0)))
44.0ms
(/ (/ 1.0 (/ (+ x 1.0) (- 0 1.0))) x)

simplify92.0ms

Algorithm
egg-herbie
Counts
480 → 480
Iterations

Useful iterations: 1 (33.0ms)

IterNodesCost
015825673
150015480

prune911.0ms

Filtered
480 candidates to 316 candidates (65.8%)
Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ x 1.0))
0.2b
(/ 1.0 (/ (* x (+ x 1.0)) (- 0 1.0)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
53×times-frac
34×add-sqr-sqrt *-un-lft-identity
24×add-cube-cbrt
13×add-exp-log add-cbrt-cube
11×associate-/r*
9×associate-/r/
5×cbrt-undiv div-exp div-inv
4×pow1 flip3-- associate-*r* flip-- distribute-lft-out-- difference-of-squares
3×associate-*l* associate-/l*
2×associate-*r/ prod-exp cbrt-unprod add-log-exp
1×distribute-rgt-in frac-2neg distribute-lft-in flip3-+ pow-prod-down clear-num *-commutative flip-+ distribute-lft-out unswap-sqr
Counts
2 → 87
Calls
2 calls:
9.0ms
(* x (+ x 1.0))
10.0ms
(/ 1.0 (/ (* x (+ x 1.0)) (- 0 1.0)))

series82.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(* x (+ x 1.0))
36.0ms
(/ 1.0 (/ (* x (+ x 1.0)) (- 0 1.0)))

simplify75.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
0469695
12634620
25001617

prune165.0ms

Filtered
93 candidates to 69 candidates (74.2%)
Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes26.0ms

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
01510
11710
21710

end0.0ms

sample421.0ms

Algorithm
intervals
Results
144.0ms1889×body640valid
89.0ms4200×body80valid
71.0ms1269×body320valid
28.0ms643×body160valid