Details

Time bar (total: 1.6s)

sample15.0ms

Algorithm
intervals
Results
4.0ms51×body640valid
3.0ms146×body80valid
2.0ms38×body320valid
1.0ms21×body160valid

simplify8.0ms

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

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 14.5b

Counts
2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1.0 (+ x 1.0))
3.5b
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

rewrite24.0ms

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:
5.0ms
(/ 1.0 (+ x 1.0))
16.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

series82.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(/ 1.0 (+ x 1.0))
57.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

simplify152.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
0266392
1898369
24185367
35001367

prune109.0ms

Filtered
64 candidates to 47 candidates (73.4%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New61364
Fresh000
Picked101
Done000
Total62365

Merged error: 0.2b

Counts
65 → 3

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))
2.4b
(- x (+ x 1.0))

rewrite25.0ms

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:
5.0ms
(* (+ x 1.0) x)
12.0ms
(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
6.0ms
(- x (+ x 1.0))

series85.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(* (+ x 1.0) x)
37.0ms
(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
7.0ms
(- x (+ x 1.0))

simplify56.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0345395
12045325
25003316

prune93.0ms

Filtered
72 candidates to 48 candidates (66.7%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New69372
Fresh202
Picked101
Done000
Total72375

Merged error: 0.0b

Counts
75 → 3

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
48×*-un-lft-identity
46×add-sqr-sqrt
43×times-frac
28×add-cube-cbrt
19×associate-*r*
18×associate-*l*
16×add-exp-log add-cbrt-cube
7×distribute-lft-out
5×cbrt-undiv div-exp
4×pow1 prod-exp associate-/r* associate-/r/ cbrt-unprod unswap-sqr
3×div-inv associate-/l* distribute-lft-out-- difference-of-squares
2×flip3-+ flip-+ add-log-exp
1×frac-times frac-2neg sub0-neg associate-*r/ distribute-frac-neg pow-prod-down associate-*l/ clear-num *-commutative distribute-rgt-neg-out
Counts
2 → 95
Calls
2 calls:
5.0ms
(/ 1.0 (+ x 1.0))
16.0ms
(* (/ 1.0 (+ x 1.0)) (/ (- 0 1.0) x))

series64.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(/ 1.0 (+ x 1.0))
39.0ms
(* (/ 1.0 (+ x 1.0)) (/ (- 0 1.0) x))

simplify59.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0491665
12424595
25002595

prune146.0ms

Filtered
101 candidates to 72 candidates (71.3%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New992101
Fresh112
Picked011
Done000
Total1004104

Merged error: 0.0b

Counts
104 → 4

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

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:
5.0ms
(* (+ x 1.0) x)
5.0ms
(/ (* 1.0 1.0) (- (* (+ x 1.0) x)))

series79.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(* (+ x 1.0) x)
36.0ms
(/ (* 1.0 1.0) (- (* (+ x 1.0) x)))

simplify43.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0283310
11533268
25001268

prune69.0ms

Filtered
56 candidates to 41 candidates (73.2%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New56056
Fresh022
Picked011
Done011
Total56460

Merged error: 0.0b

Counts
60 → 4

regimes15.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0115
1135
2175
3205
4215
5215

end0.0ms

sample397.0ms

Algorithm
intervals
Results
140.0ms1950×body640valid
83.0ms4214×body80valid
63.0ms1218×body320valid
25.0ms620×body160valid

Profiling

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