Details

Time bar (total: 14.5s)

sample24.0ms

Algorithm
intervals
Results
13.0ms337×body80valid

simplify27.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1117
2167
3207
4217
done217

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 1 expressions with local error:

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

rewrite38.0ms

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:
37.0ms
(/ (- (* x x) 3.0) 6.0)

series97.0ms

Counts
1 → 3
Calls
1 calls:
96.0ms
(/ (- (* x x) 3.0) 6.0)

simplify2.5s

Counts
37 → 37
Iterations

Useful iterations: 4 (1.2s)

IterNodesCost
078451
1174438
2399406
3938406
42545405
done5002405

prune104.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.2b
(* (/ x 6.0) x)

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
13×associate-*l*
10×times-frac
9×add-cube-cbrt *-un-lft-identity
6×add-exp-log add-cbrt-cube
3×pow1 associate-*r*
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv div-exp pow-prod-down associate-*l/ *-commutative div-inv add-log-exp
Counts
1 → 32
Calls
1 calls:
21.0ms
(* (/ x 6.0) x)

series54.0ms

Counts
1 → 3
Calls
1 calls:
54.0ms
(* (/ x 6.0) x)

simplify5.5s

Counts
35 → 35
Iterations

Useful iterations: 4 (2.1s)

IterNodesCost
063261
1147256
2369216
3892216
42093212
done5001212

prune90.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ (pow x 3/2) 6.0)
0.1b
(* (/ (sqrt x) 1) (/ (pow x 3/2) 6.0))

rewrite99.0ms

Algorithm
rewrite-expression-head
Rules
103×add-sqr-sqrt
91×times-frac
53×*-un-lft-identity
45×add-cube-cbrt
41×add-exp-log
26×unpow-prod-down
25×associate-*r*
22×associate-*l*
20×div-exp unswap-sqr
17×sqrt-prod
16×add-cbrt-cube
12×prod-exp sqr-pow
7×associate-/l*
5×cbrt-undiv
4×pow1 pow-to-exp 1-exp pow-exp cbrt-unprod
3×associate-/r* div-inv
2×add-log-exp
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 140
Calls
2 calls:
15.0ms
(/ (pow x 3/2) 6.0)
76.0ms
(* (/ (sqrt x) 1) (/ (pow x 3/2) 6.0))

series147.0ms

Counts
2 → 6
Calls
2 calls:
60.0ms
(/ (pow x 3/2) 6.0)
86.0ms
(* (/ (sqrt x) 1) (/ (pow x 3/2) 6.0))

simplify1.5s

Counts
146 → 146
Iterations

Useful iterations: done (1.5s)

IterNodesCost
02172093
14981653
214001575
done50011570

prune470.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 1 expressions with local error:

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

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
357×times-frac
221×add-sqr-sqrt
208×sqrt-prod
169×add-cube-cbrt *-un-lft-identity
52×difference-of-squares
27×associate-/r*
18×sqrt-div
17×associate-/r/
9×flip3-- flip-- div-inv
7×associate-/l*
6×add-exp-log add-cbrt-cube
3×cbrt-undiv div-exp
2×associate-/l/
1×pow1 frac-2neg clear-num add-log-exp
Counts
1 → 240
Calls
1 calls:
64.0ms
(/ (sqrt (- (* x x) 3.0)) (/ 6.0 (sqrt (- (* x x) 3.0))))

series110.0ms

Counts
1 → 3
Calls
1 calls:
110.0ms
(/ (sqrt (- (* x x) 3.0)) (/ 6.0 (sqrt (- (* x x) 3.0))))

simplify2.4s

Counts
243 → 243
Iterations

Useful iterations: done (2.3s)

IterNodesCost
03777699
17776956
225746311
done50006033

prune537.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes135.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079
189
done89

end0.0ms

sample583.0ms

Algorithm
intervals
Results
404.0ms10612×body80valid