Details

Time bar (total: 1.6s)

analyze3.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
75%25%0%4
75%12.5%12.5%5
75%6.2%18.8%6
75%3.1%21.9%7
75%1.6%23.5%8
75%0.8%24.3%9
75%0.4%24.6%10
75%0.2%24.8%11
75%0.1%24.9%12
75%0%25%13
75%0%25%14

sample11.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify14.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (12.0ms)

IterNodesCost
03087
13087

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

0.1b
(/ (- (* x x) 3.0) 6.0)

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
12×times-frac
10×add-cube-cbrt *-un-lft-identity
4×associate-/l* difference-of-squares
3×add-exp-log associate-/r* add-cbrt-cube
2×associate-/l/
1×pow1 cbrt-undiv flip3-- frac-2neg div-sub div-exp clear-num flip-- div-inv add-log-exp
Counts
1 → 34
Calls
1 calls:
6.0ms
(/ (- (* x x) 3.0) 6.0)

series5.0ms

Counts
1 → 3
Calls
1 calls:
5.0ms
(/ (- (* x x) 3.0) 6.0)

simplify45.0ms

Algorithm
egg-herbie
Counts
37 → 37
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
04958405
14958405

prune60.0ms

Filtered
30 candidates to 37 candidates (-23.3%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New34337
Fresh000
Picked011
Done000
Total34438

Merged error: 0b

Counts
38 → 4

localize6.0ms

Local error

Found 1 expressions with local error:

0.2b
(* x (/ x 6.0))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
13×associate-*r*
10×times-frac
9×add-cube-cbrt *-un-lft-identity
6×add-exp-log add-cbrt-cube
3×pow1 associate-*l*
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv associate-*r/ div-exp pow-prod-down *-commutative div-inv add-log-exp
Counts
1 → 32
Calls
1 calls:
6.0ms
(* x (/ x 6.0))

series3.0ms

Counts
1 → 3
Calls
1 calls:
3.0ms
(* x (/ x 6.0))

simplify76.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 0 (72.0ms)

IterNodesCost
04842218
14842218

prune41.0ms

Filtered
24 candidates to 35 candidates (-45.8%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New35035
Fresh022
Picked011
Done011
Total35439

Merged error: 0b

Counts
39 → 4

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (sqrt 3.0))
0.0b
(- x (sqrt 3.0))
0.1b
(/ (+ x (sqrt 3.0)) (/ 6.0 (- x (sqrt 3.0))))
0.7b
(/ 6.0 (- x (sqrt 3.0)))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
204×times-frac
182×*-un-lft-identity
170×add-sqr-sqrt
90×add-cube-cbrt
40×difference-of-squares
30×associate-/r*
26×distribute-lft-out
20×sqrt-prod distribute-lft-out--
13×associate-/r/
11×add-exp-log add-cbrt-cube
8×add-log-exp
7×flip3-- flip-- div-inv associate-/l*
4×pow1 cbrt-undiv div-exp
2×frac-2neg flip3-+ clear-num flip-+ associate-/l/
1×+-commutative sub-neg diff-log sum-log
Counts
4 → 208
Calls
4 calls:
3.0ms
(+ x (sqrt 3.0))
4.0ms
(- x (sqrt 3.0))
12.0ms
(/ (+ x (sqrt 3.0)) (/ 6.0 (- x (sqrt 3.0))))
6.0ms
(/ 6.0 (- x (sqrt 3.0)))

series26.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(+ x (sqrt 3.0))
4.0ms
(- x (sqrt 3.0))
12.0ms
(/ (+ x (sqrt 3.0)) (/ 6.0 (- x (sqrt 3.0))))
7.0ms
(/ 6.0 (- x (sqrt 3.0)))

simplify50.0ms

Algorithm
egg-herbie
Counts
220 → 220
Iterations

Useful iterations: 0 (28.0ms)

IterNodesCost
051353502

prune336.0ms

Filtered
134 candidates to 220 candidates (-64.2%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New2200220
Fresh011
Picked011
Done022
Total2204224

Merged error: 0b

Counts
224 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (/ (- (* x x) 3.0) (sqrt 6.0)) (sqrt 6.0))
0.8b
(/ (- (* x x) 3.0) (sqrt 6.0))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
360×times-frac
231×add-sqr-sqrt
186×sqrt-prod
182×add-cube-cbrt *-un-lft-identity
49×difference-of-squares
32×associate-/l*
12×associate-/r*
9×add-exp-log add-cbrt-cube div-inv
4×cbrt-undiv div-exp
3×div-sub associate-/l/
2×pow1 frac-2neg clear-num add-log-exp
1×flip3-- flip--
Counts
2 → 267
Calls
2 calls:
12.0ms
(/ (/ (- (* x x) 3.0) (sqrt 6.0)) (sqrt 6.0))
7.0ms
(/ (- (* x x) 3.0) (sqrt 6.0))

series32.0ms

Counts
2 → 6
Calls
2 calls:
18.0ms
(/ (/ (- (* x x) 3.0) (sqrt 6.0)) (sqrt 6.0))
14.0ms
(/ (- (* x x) 3.0) (sqrt 6.0))

simplify91.0ms

Algorithm
egg-herbie
Counts
273 → 273
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
052634957

prune291.0ms

Filtered
121 candidates to 273 candidates (-125.6%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New2730273
Fresh000
Picked011
Done033
Total2734277

Merged error: 0b

Counts
277 → 4

regimes157.0ms

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 (1.0ms)

IterNodesCost
0259
1259

end0.0ms

sample262.0ms

Algorithm
intervals
Results
173.0ms8000×body80valid

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