Details

Time bar (total: 1.8s)

sample11.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
083
193
293

prune1.0ms

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: 0.0b

Counts
2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
22×add-sqr-sqrt
20×times-frac
12×add-cube-cbrt
6×distribute-lft-out
5×associate-/r* distribute-lft-out-- difference-of-squares
4×associate-/l*
3×add-exp-log add-cbrt-cube
2×associate-/r/ associate-/l/
1×pow1 cbrt-undiv flip3-- frac-2neg flip3-+ div-exp clear-num flip-- flip-+ div-inv add-log-exp
Counts
1 → 45
Calls
1 calls:
7.0ms
(/ (+ x 1.0) (- 1.0 x))

series31.0ms

Counts
1 → 3
Calls
1 calls:
31.0ms
(/ (+ x 1.0) (- 1.0 x))

simplify87.0ms

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 2 (19.0ms)

IterNodesCost
0205309
1681292
22787286
35001286

prune70.0ms

Filtered
48 candidates to 32 candidates (66.7%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New44448
Fresh000
Picked101
Done000
Total45449

Merged error: 0b

Counts
49 → 4

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1 (- 1.0 x))
0.1b
(* (+ x 1.0) (/ 1 (- 1.0 x)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
39×*-un-lft-identity
32×times-frac
22×add-cube-cbrt
21×associate-*r*
15×add-exp-log
9×add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×pow1 associate-/r*
4×div-exp associate-*l* prod-exp associate-/r/
3×associate-/l* unswap-sqr
2×cbrt-undiv frac-times rec-exp flip3-- flip3-+ 1-exp associate-*l/ flip-- cbrt-unprod flip-+ div-inv add-log-exp
1×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative distribute-lft-out inv-pow
Counts
2 → 90
Calls
2 calls:
5.0ms
(/ 1 (- 1.0 x))
13.0ms
(* (+ x 1.0) (/ 1 (- 1.0 x)))

series58.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(/ 1 (- 1.0 x))
31.0ms
(* (+ x 1.0) (/ 1 (- 1.0 x)))

simplify49.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0355524
11738456
25001410

prune96.0ms

Filtered
96 candidates to 56 candidates (58.3%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New96096
Fresh033
Picked011
Done000
Total964100

Merged error: 0b

Counts
100 → 4

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- 1.0 x) (- x 1.0))
16.7b
(/ (- (* x x) (* 1.0 1.0)) (* (- 1.0 x) (- x 1.0)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
13×flip3-- flip--
12×add-sqr-sqrt
10×*-un-lft-identity
9×add-exp-log add-cbrt-cube
8×frac-times associate-/r/
6×add-cube-cbrt
5×associate-*r* associate-*l*
4×pow1 times-frac associate-*r/ associate-*l/ associate-/l* difference-of-squares
2×cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in div-exp prod-exp cbrt-unprod associate-/l/ distribute-lft-out-- add-log-exp
1×frac-2neg div-sub pow-prod-down clear-num associate-/r* *-commutative div-inv unswap-sqr
Counts
2 → 68
Calls
2 calls:
9.0ms
(* (- 1.0 x) (- x 1.0))
15.0ms
(/ (- (* x x) (* 1.0 1.0)) (* (- 1.0 x) (- x 1.0)))

series90.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(* (- 1.0 x) (- x 1.0))
59.0ms
(/ (- (* x x) (* 1.0 1.0)) (* (- 1.0 x) (- x 1.0)))

simplify58.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0405570
12153487
25001442

prune108.0ms

Filtered
74 candidates to 55 candidates (74.3%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New74074
Fresh022
Picked011
Done011
Total74478

Merged error: 0b

Counts
78 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
602×times-frac
562×*-un-lft-identity
384×add-sqr-sqrt
360×sqrt-prod
254×add-cube-cbrt
90×distribute-lft-out
64×distribute-lft-out-- difference-of-squares
48×associate-/r*
24×sqrt-div
19×associate-/r/
12×flip3-+ flip-+ associate-/l*
11×add-exp-log add-cbrt-cube
10×div-inv
6×pow1
4×cbrt-undiv div-exp associate-/l/ add-log-exp
2×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 clear-num
1×flip3-- div-sub flip--
Counts
4 → 448
Calls
4 calls:
21.0ms
(/ (sqrt (+ x 1.0)) (/ (- 1.0 x) (sqrt (+ x 1.0))))
3.0ms
(sqrt (+ x 1.0))
3.0ms
(sqrt (+ x 1.0))
9.0ms
(/ (- 1.0 x) (sqrt (+ x 1.0)))

series184.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(/ (sqrt (+ x 1.0)) (/ (- 1.0 x) (sqrt (+ x 1.0))))
29.0ms
(sqrt (+ x 1.0))
29.0ms
(sqrt (+ x 1.0))
91.0ms
(/ (- 1.0 x) (sqrt (+ x 1.0)))

simplify147.0ms

Algorithm
egg-herbie
Counts
460 → 460
Iterations

Useful iterations: 2 (89.0ms)

IterNodesCost
09296286
146025572
250025539

prune416.0ms

Filtered
460 candidates to 176 candidates (38.3%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New4600460
Fresh011
Picked011
Done022
Total4604464

Merged error: 0b

Counts
464 → 4

regimes13.0ms

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
0114
1114

end0.0ms

sample241.0ms

Algorithm
intervals
Results
150.0ms8000×body80valid

Profiling

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