Details

Time bar (total: 15.5s)

sample21.0ms

Algorithm
intervals
Results
12.0ms337×body80valid

simplify19.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1127
2177
3217
4237
5247
done247

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite41.0ms

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 expm1-log1p-u flip3-- frac-2neg div-sub div-exp clear-num flip-- log1p-expm1-u div-inv add-log-exp
Counts
1 → 36
Calls
1 calls:
39.0ms
(/ (- (* x x) 3.0) 6.0)

series106.0ms

Counts
1 → 3
Calls
1 calls:
106.0ms
(/ (- (* x x) 3.0) 6.0)

simplify2.9s

Counts
39 → 39
Iterations

Useful iterations: 4 (1.3s)

IterNodesCost
080467
1181451
2425419
31020419
42786418
done5000418

prune102.0ms

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)

rewrite32.0ms

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 expm1-log1p-u div-exp pow-prod-down associate-*l/ *-commutative log1p-expm1-u div-inv add-log-exp
Counts
1 → 34
Calls
1 calls:
29.0ms
(* (/ x 6.0) x)

series35.0ms

Counts
1 → 3
Calls
1 calls:
35.0ms
(* (/ x 6.0) x)

simplify5.7s

Counts
37 → 37
Iterations

Useful iterations: 4 (2.3s)

IterNodesCost
065273
1149268
2370228
3899228
42132224
done5000224

prune107.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize27.0ms

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))

rewrite120.0ms

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×expm1-log1p-u log1p-expm1-u add-log-exp
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 144
Calls
2 calls:
18.0ms
(/ (pow x 3/2) 6.0)
86.0ms
(* (/ (sqrt x) 1) (/ (pow x 3/2) 6.0))

series161.0ms

Counts
2 → 6
Calls
2 calls:
71.0ms
(/ (pow x 3/2) 6.0)
90.0ms
(* (/ (sqrt x) 1) (/ (pow x 3/2) 6.0))

simplify1.6s

Counts
150 → 150
Iterations

Useful iterations: done (1.6s)

IterNodesCost
02212127
15081683
214161605
done50001597

prune554.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite98.0ms

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 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
Counts
1 → 242
Calls
1 calls:
80.0ms
(/ (sqrt (- (* x x) 3.0)) (/ 6.0 (sqrt (- (* x x) 3.0))))

series119.0ms

Counts
1 → 3
Calls
1 calls:
119.0ms
(/ (sqrt (- (* x x) 3.0)) (/ 6.0 (sqrt (- (* x x) 3.0))))

simplify2.4s

Counts
245 → 245
Iterations

Useful iterations: done (2.4s)

IterNodesCost
03797731
17856956
225986303
done50006025

prune568.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes158.0ms

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

sample635.0ms

Algorithm
intervals
Results
453.0ms10612×body80valid