Details

Time bar (total: 1.4s)

analyze4.0ms

Algorithm
search

sample20.0ms

Algorithm
intervals
Results
7.0ms65×body640valid
4.0ms46×body320valid
4.0ms125×body80valid
1.0ms20×body160valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0125
1155
2155

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 15.0b

Counts
2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1.0 (+ x 1.0))
0.0b
(/ 1.0 (- x 1.0))
2.0b
(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
84×*-un-lft-identity
55×times-frac
50×add-sqr-sqrt
30×add-cube-cbrt
25×distribute-lft-out--
10×distribute-lft-out
9×associate-/r*
8×difference-of-squares
7×add-exp-log add-cbrt-cube
6×associate-/r/ associate-/l*
5×add-log-exp
4×div-inv
3×pow1 flip--
2×cbrt-undiv flip3-- frac-2neg div-exp clear-num flip-+
1×sub-neg flip3-+ diff-log frac-sub
Counts
3 → 102
Calls
3 calls:
5.0ms
(/ 1.0 (+ x 1.0))
5.0ms
(/ 1.0 (- x 1.0))
25.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

series12.0ms

Counts
3 → 9
Calls
3 calls:
2.0ms
(/ 1.0 (+ x 1.0))
2.0ms
(/ 1.0 (- x 1.0))
7.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

simplify43.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0387679
11331648
25001642

prune157.0ms

Filtered
78 candidates to 111 candidates (-42.3%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1092111
Fresh000
Picked101
Done000
Total1102112

Merged error: 0.5b

Counts
112 → 2

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (* 1.0 (- (- x 1.0) (+ x 1.0))) (- (* x x) (* 1.0 1.0)))
1.5b
(- (- x 1.0) (+ x 1.0))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
16×*-un-lft-identity
14×add-log-exp
8×frac-sub
7×add-exp-log flip3-- add-cbrt-cube flip--
6×add-sqr-sqrt diff-log associate-*r/ associate-/l/ distribute-lft-out--
4×add-cube-cbrt flip3-+ times-frac associate-/r* flip-+
3×difference-of-squares
2×pow1 cbrt-undiv sub-neg div-exp associate--l+ sum-log associate-/r/ distribute-lft-out
1×associate--l- frac-2neg prod-exp clear-num cbrt-unprod div-inv associate-/l* associate--r+
Counts
2 → 59
Calls
2 calls:
16.0ms
(/ (* 1.0 (- (- x 1.0) (+ x 1.0))) (- (* x x) (* 1.0 1.0)))
8.0ms
(- (- x 1.0) (+ x 1.0))

series5.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(/ (* 1.0 (- (- x 1.0) (+ x 1.0))) (- (* x x) (* 1.0 1.0)))
1.0ms
(- (- x 1.0) (+ x 1.0))

simplify58.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0446580
12623513
25001510

prune84.0ms

Filtered
47 candidates to 65 candidates (-38.3%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New63265
Fresh101
Picked101
Done000
Total65267

Merged error: 0.5b

Counts
67 → 2

localize7.0ms

Local error

Found 1 expressions with local error:

0.5b
(/ (* 1.0 (neg 2.0)) (- (* x x) (* 1.0 1.0)))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
6×add-exp-log add-cbrt-cube
4×times-frac associate-/r*
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
2×cbrt-undiv div-exp associate-/r/ difference-of-squares
1×pow1 flip3-- frac-2neg distribute-frac-neg prod-exp clear-num distribute-rgt-neg-out flip-- cbrt-unprod div-inv associate-/l* add-log-exp
Counts
1 → 26
Calls
1 calls:
8.0ms
(/ (* 1.0 (neg 2.0)) (- (* x x) (* 1.0 1.0)))

series4.0ms

Counts
1 → 3
Calls
1 calls:
4.0ms
(/ (* 1.0 (neg 2.0)) (- (* x x) (* 1.0 1.0)))

simplify32.0ms

Algorithm
egg-herbie
Counts
29 → 29
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0242257
11216215
25001211

prune46.0ms

Filtered
23 candidates to 29 candidates (-26.1%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New26329
Fresh101
Picked011
Done000
Total27431

Merged error: 0.0b

Counts
31 → 4

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (* 1.0 (neg 2.0)) (+ x 1.0))
0.1b
(/ (/ (* 1.0 (neg 2.0)) (+ x 1.0)) (- x 1.0))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
78×times-frac
65×*-un-lft-identity
49×add-sqr-sqrt
27×add-cube-cbrt
16×add-exp-log associate-/r/ add-cbrt-cube
11×associate-/l* distribute-lft-out-- difference-of-squares
9×associate-/r*
8×div-inv distribute-lft-out
7×cbrt-undiv flip3-+ div-exp flip-+
3×distribute-frac-neg
2×pow1 frac-2neg prod-exp clear-num distribute-rgt-neg-out cbrt-unprod add-log-exp
1×flip3-- flip-- associate-/l/
Counts
2 → 111
Calls
2 calls:
6.0ms
(/ (* 1.0 (neg 2.0)) (+ x 1.0))
11.0ms
(/ (/ (* 1.0 (neg 2.0)) (+ x 1.0)) (- x 1.0))

series7.0ms

Counts
2 → 6
Calls
2 calls:
2.0ms
(/ (* 1.0 (neg 2.0)) (+ x 1.0))
4.0ms
(/ (/ (* 1.0 (neg 2.0)) (+ x 1.0)) (- x 1.0))

simplify74.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
05711119
130061036
250011036

prune141.0ms

Filtered
83 candidates to 117 candidates (-41.0%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1134117
Fresh202
Picked011
Done011
Total1156121

Merged error: 0.0b

Counts
121 → 6

regimes36.0ms

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
0136
1196
2226
3226

end0.0ms

analyze3.0ms

Algorithm
search

sample565.0ms

Algorithm
intervals
Results
204.0ms1882×body640valid
129.0ms4260×body80valid
99.0ms1229×body320valid
34.0ms629×body160valid

Profiling

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