Details

Time bar (total: 16.3s)

sample28.0ms

Algorithm
intervals
Results
14.0ms326×body80valid

simplify30.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1117
2167
3207
4217
done217

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite46.0ms

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:
44.0ms
(/ (- (* x x) 3.0) 6.0)

series108.0ms

Counts
1 → 3
Calls
1 calls:
107.0ms
(/ (- (* x x) 3.0) 6.0)

simplify2.4s

Counts
37 → 37
Iterations

Useful iterations: 4 (1.1s)

IterNodesCost
078451
1174438
2399406
3938406
42545405
done5002405

prune114.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 1 expressions with local error:

0.1b
(* (/ x 6.0) x)

rewrite17.0ms

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:
16.0ms
(* (/ x 6.0) x)

series37.0ms

Counts
1 → 3
Calls
1 calls:
37.0ms
(* (/ x 6.0) x)

simplify5.5s

Counts
35 → 35
Iterations

Useful iterations: 4 (2.2s)

IterNodesCost
063261
1147256
2369216
3892216
42093212
done5001212

prune79.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (/ x 6.0) x)
0.4b
(* (sqrt (* (/ x 6.0) x)) (sqrt (* (/ x 6.0) x)))
17.6b
(sqrt (* (/ x 6.0) x))
17.6b
(sqrt (* (/ x 6.0) x))

rewrite124.0ms

Algorithm
rewrite-expression-head
Rules
61×pow1
32×sqrt-pow1
23×add-sqr-sqrt pow-prod-down
17×associate-*l*
16×add-cube-cbrt *-un-lft-identity
12×pow1/2
11×add-exp-log add-cbrt-cube
10×times-frac pow-prod-up
8×associate-*l/
7×associate-*r*
6×sqrt-div sqrt-prod pow-sqr
4×swap-sqr add-log-exp
3×prod-exp cbrt-unprod unswap-sqr
2×*-commutative
1×cbrt-undiv pow2 frac-times pow-plus sqrt-unprod associate-*r/ div-exp rem-square-sqrt div-inv
Counts
4 → 108
Calls
4 calls:
17.0ms
(* (/ x 6.0) x)
90.0ms
(* (sqrt (* (/ x 6.0) x)) (sqrt (* (/ x 6.0) x)))
7.0ms
(sqrt (* (/ x 6.0) x))
7.0ms
(sqrt (* (/ x 6.0) x))

series224.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(* (/ x 6.0) x)
79.0ms
(* (sqrt (* (/ x 6.0) x)) (sqrt (* (/ x 6.0) x)))
59.0ms
(sqrt (* (/ x 6.0) x))
56.0ms
(sqrt (* (/ x 6.0) x))

simplify3.2s

Counts
120 → 120
Iterations

Useful iterations: done (3.2s)

IterNodesCost
01121124
1228814
2666709
32614679
done5000673

prune338.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize18.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ 1 (/ 6.0 (- (* x x) 3.0)))
0.3b
(/ 6.0 (- (* x x) 3.0))

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
114×times-frac
78×add-sqr-sqrt
62×add-cube-cbrt *-un-lft-identity
22×associate-/r*
16×difference-of-squares
15×add-exp-log
11×associate-/r/
9×add-cbrt-cube
8×div-exp
6×div-inv associate-/l*
5×flip3-- flip--
4×cbrt-undiv
3×pow1
2×rec-exp frac-2neg 1-exp clear-num add-log-exp
1×pow-flip inv-pow
Counts
2 → 129
Calls
2 calls:
35.0ms
(/ 1 (/ 6.0 (- (* x x) 3.0)))
31.0ms
(/ 6.0 (- (* x x) 3.0))

series161.0ms

Counts
2 → 6
Calls
2 calls:
85.0ms
(/ 1 (/ 6.0 (- (* x x) 3.0)))
76.0ms
(/ 6.0 (- (* x x) 3.0))

simplify2.7s

Counts
135 → 135
Iterations

Useful iterations: 3 (1.0s)

IterNodesCost
02302275
14901962
210541759
326871707
done50001707

prune242.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes109.0ms

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

sample680.0ms

Algorithm
intervals
Results
424.0ms10615×body80valid