Details

Time bar (total: 1.7s)

sample15.0ms

Algorithm
intervals
Results
8.0ms361×body80valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0217
1217

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.4b

Counts
2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

0.3b
(/ (- (* x x) 3.0) 6.0)

rewrite7.0ms

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)

simplify26.0ms

Algorithm
egg-herbie
Counts
37 → 37
Iterations

Useful iterations: 0 (22.0ms)

IterNodesCost
04996405
14996405

prune60.0ms

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

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New33437
Fresh000
Picked011
Done000
Total33538

Merged error: 0b

Counts
38 → 5

localize5.0ms

Local error

Found 1 expressions with local error:

0.1b
(* x (/ x 6.0))

rewrite9.0ms

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:
8.0ms
(* x (/ x 6.0))

series3.0ms

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

simplify45.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
04921218
14921218

prune41.0ms

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

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New35035
Fresh033
Picked011
Done011
Total35540

Merged error: 0b

Counts
40 → 5

localize6.0ms

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))))
0.6b
(/ 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 → 209
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))))
8.0ms
(/ 6.0 (- x (sqrt 3.0)))

series23.0ms

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))))
4.0ms
(/ 6.0 (- x (sqrt 3.0)))

simplify93.0ms

Algorithm
egg-herbie
Counts
221 → 221
Iterations

Useful iterations: 0 (67.0ms)

IterNodesCost
049723505
149723505

prune319.0ms

Filtered
134 candidates to 221 candidates (-64.9%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New2210221
Fresh022
Picked011
Done022
Total2215226

Merged error: 0b

Counts
226 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (cbrt (- (* x x) 3.0)) (sqrt 6.0))
0.5b
(cbrt (- (* x x) 3.0))
0.5b
(cbrt (- (* x x) 3.0))
0.5b
(cbrt (- (* x x) 3.0))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
47×add-sqr-sqrt
42×times-frac
40×cbrt-prod
37×add-cube-cbrt *-un-lft-identity
24×sqrt-prod
10×difference-of-squares
8×cbrt-div
7×associate-/l*
6×add-exp-log associate-/r*
5×add-cbrt-cube
4×pow1 flip3-- flip-- add-log-exp
3×pow1/3
2×associate-/l/
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
4 → 111
Calls
4 calls:
7.0ms
(/ (cbrt (- (* x x) 3.0)) (sqrt 6.0))
5.0ms
(cbrt (- (* x x) 3.0))
4.0ms
(cbrt (- (* x x) 3.0))
4.0ms
(cbrt (- (* x x) 3.0))

series52.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(/ (cbrt (- (* x x) 3.0)) (sqrt 6.0))
12.0ms
(cbrt (- (* x x) 3.0))
11.0ms
(cbrt (- (* x x) 3.0))
12.0ms
(cbrt (- (* x x) 3.0))

simplify64.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
052851852

prune283.0ms

Filtered
88 candidates to 123 candidates (-39.8%)
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New1230123
Fresh011
Picked011
Done033
Total1235128

Merged error: 0b

Counts
128 → 5

regimes173.0ms

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
089
189

end0.0ms

sample387.0ms

Algorithm
intervals
Results
226.0ms10657×body80valid

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