Details

Time bar (total: 1.3s)

analyze3.0ms

Algorithm
search
sampling

Space saved by range analysis: 0.048828%

Space saved by search: 0.048828%

Guaranteed chance to sample good point: 99.996948%

sample10.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
083
193
293

prune2.0ms

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
distribute-lft-out
associate-/r* distribute-lft-out-- difference-of-squares
associate-/l*
add-exp-log add-cbrt-cube
associate-/r/ associate-/l/
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))

series3.0ms

Counts
1 → 3
Calls
1 calls:
3.0ms
(/ (+ x 1.0) (- 1.0 x))

simplify90.0ms

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 2 (18.0ms)

IterNodesCost
0205309
1681292
22787286
35001286

prune62.0ms

Filtered
32 candidates to 48 candidates (-50.0%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New45348
Fresh000
Picked011
Done000
Total45449

Merged error: 0b

Counts
49 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
93×*-un-lft-identity
61×add-sqr-sqrt
60×times-frac
52×exp-prod
35×add-cube-cbrt
27×log-pow
16×distribute-lft-out
13×distribute-lft-out-- difference-of-squares
associate-/r/
add-exp-log associate-/r* add-cbrt-cube
pow1 associate-/l* add-log-exp
log-prod flip3-- flip-- div-inv
associate-/l/
cbrt-undiv frac-2neg flip3-+ div-exp rem-log-exp clear-num flip-+ rem-exp-log
Counts
3 → 117
Calls
3 calls:
8.0ms
(/ (+ x 1.0) (- 1.0 x))
10.0ms
(log (exp (/ (+ x 1.0) (- 1.0 x))))
9.0ms
(exp (/ (+ x 1.0) (- 1.0 x)))

series10.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(/ (+ x 1.0) (- 1.0 x))
3.0ms
(log (exp (/ (+ x 1.0) (- 1.0 x))))
5.0ms
(exp (/ (+ x 1.0) (- 1.0 x)))

simplify99.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 3 (90.0ms)

IterNodesCost
0309731
1889688
23418670
35002667

prune168.0ms

Filtered
85 candidates to 126 candidates (-48.2%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1260126
Fresh022
Picked011
Done011
Total1264130

Merged error: 0b

Counts
130 → 4

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
158×times-frac
140×*-un-lft-identity
100×add-sqr-sqrt
68×add-cube-cbrt
26×associate-/r*
20×distribute-lft-out
16×distribute-lft-out-- difference-of-squares
12×add-exp-log
associate-/r/
div-exp
add-cbrt-cube
div-inv
flip3-+ flip-+
cbrt-undiv associate-/l*
pow1 rec-exp 1-exp
pow-flip frac-2neg clear-num inv-pow add-log-exp
Counts
1 → 128
Calls
1 calls:
11.0ms
(/ 1 (/ (- 1.0 x) (+ x 1.0)))

series3.0ms

Counts
1 → 3
Calls
1 calls:
3.0ms
(/ 1 (/ (- 1.0 x) (+ x 1.0)))

simplify55.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
04931193
122531053
25001910

prune78.0ms

Filtered
45 candidates to 131 candidates (-191.1%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1310131
Fresh011
Picked011
Done022
Total1314135

Merged error: 0b

Counts
135 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
96×*-un-lft-identity
88×add-sqr-sqrt
74×times-frac
53×sqrt-prod
42×add-cube-cbrt
41×associate-*r*
15×distribute-lft-out-- difference-of-squares
12×distribute-lft-out
add-exp-log add-cbrt-cube
associate-*l* associate-/l*
sqrt-div unswap-sqr
associate-/r*
pow1 associate-/r/
flip3-+ flip-+
cbrt-undiv frac-times flip3-- div-exp associate-*l/ prod-exp flip-- cbrt-unprod div-inv associate-/l/ add-log-exp
frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 135
Calls
2 calls:
24.0ms
(* (sqrt (+ x 1.0)) (/ (sqrt (+ x 1.0)) (- 1.0 x)))
8.0ms
(/ (sqrt (+ x 1.0)) (- 1.0 x))

series10.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(* (sqrt (+ x 1.0)) (/ (sqrt (+ x 1.0)) (- 1.0 x)))
7.0ms
(/ (sqrt (+ x 1.0)) (- 1.0 x))

simplify59.0ms

Algorithm
egg-herbie
Counts
141 → 141
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
04901261
120121148
250011087

prune180.0ms

Filtered
80 candidates to 141 candidates (-76.3%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1410141
Fresh000
Picked011
Done033
Total1414145

Merged error: 0b

Counts
145 → 4

regimes55.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063
163

end0.0ms

analyze2.0ms

Algorithm
search
sampling

Space saved by range analysis: 0.048828%

Space saved by search: 0.048828%

Guaranteed chance to sample good point: 99.996948%

sample250.0ms

Algorithm
intervals
Results
162.0ms8000×body80valid

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