Details

Time bar (total: 2.6s)

sample16.0ms

Algorithm
intervals
Results
5.0ms66×body640valid
3.0ms130×body80valid
2.0ms39×body320valid
1.0ms22×body160valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
094
1124
2124

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.9b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1.0 (+ x 1.0))
3.0b
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

rewrite28.0ms

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:
8.0ms
(/ 1.0 (+ x 1.0))
17.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

series89.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(/ 1.0 (+ x 1.0))
57.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

simplify157.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0266392
1898369
24185367
35001367

prune123.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.3b

localize7.0ms

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))
2.2b
(- x (+ x 1.0))

rewrite26.0ms

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:
6.0ms
(* (+ x 1.0) x)
12.0ms
(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
6.0ms
(- x (+ x 1.0))

series88.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(* (+ x 1.0) x)
38.0ms
(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
7.0ms
(- x (+ x 1.0))

simplify62.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0345395
12045325
25003316

prune117.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

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)

rewrite78.0ms

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:
12.0ms
(/ 1.0 (/ (+ x 1.0) (- 0 1.0)))
25.0ms
(/ (/ 1.0 (/ (+ x 1.0) (- 0 1.0))) x)

series71.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(/ 1.0 (/ (+ x 1.0) (- 0 1.0)))
44.0ms
(/ (/ 1.0 (/ (+ x 1.0) (- 0 1.0))) x)

simplify91.0ms

Algorithm
egg-herbie
Counts
480 → 480
Iterations

Useful iterations: 1 (32.0ms)

IterNodesCost
015825673
150015480

prune941.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (+ x 1.0) x)
0.3b
(/ (* 1.0 1.0) (- (* (+ x 1.0) x)))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
9×add-exp-log add-cbrt-cube
8×add-sqr-sqrt *-un-lft-identity
6×add-cube-cbrt times-frac associate-/r*
4×pow1 associate-*l* associate-*l/
3×associate-*r*
2×cbrt-undiv distribute-lft-neg-in neg-mul-1 distribute-rgt-neg-in flip3-+ div-exp prod-exp associate-/r/ cbrt-unprod flip-+ distribute-neg-frac add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
2 → 50
Calls
2 calls:
6.0ms
(* (+ x 1.0) x)
6.0ms
(/ (* 1.0 1.0) (- (* (+ x 1.0) x)))

series85.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(* (+ x 1.0) x)
42.0ms
(/ (* 1.0 1.0) (- (* (+ x 1.0) x)))

simplify44.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0283310
11533268
25001268

prune95.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes22.0ms

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

sample413.0ms

Algorithm
intervals
Results
138.0ms1897×body640valid
90.0ms4196×body80valid
72.0ms1251×body320valid
25.0ms658×body160valid