Details

Time bar (total: 8.8s)

sample31.0ms

Algorithm
intervals
Results
16.0ms360×body80valid

simplify39.0ms

Counts
1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite47.0ms

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)

series103.0ms

Counts
1 → 3
Calls
1 calls:
103.0ms
(/ (- (* x x) 3.0) 6.0)

simplify828.0ms

Counts
37 → 37

prune78.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite90.0ms

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:
31.0ms
(/ 6.0 (- (* x x) 3.0))
54.0ms
(/ 1 (/ 6.0 (- (* x x) 3.0)))

series158.0ms

Counts
2 → 6
Calls
2 calls:
72.0ms
(/ 6.0 (- (* x x) 3.0))
87.0ms
(/ 1 (/ 6.0 (- (* x x) 3.0)))

simplify937.0ms

Counts
135 → 135

prune309.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.2b
(* 0.16666666666666666 (pow x 2))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
8×associate-*r*
6×add-exp-log
4×add-cube-cbrt unpow-prod-down *-un-lft-identity unswap-sqr
3×associate-*l* prod-exp add-cbrt-cube
2×unpow2 sqr-pow
1×pow1 pow-to-exp pow-exp *-commutative cbrt-unprod add-log-exp
Counts
1 → 27
Calls
1 calls:
24.0ms
(* 0.16666666666666666 (pow x 2))

series33.0ms

Counts
1 → 3
Calls
1 calls:
33.0ms
(* 0.16666666666666666 (pow x 2))

simplify1.2s

Counts
30 → 30

prune54.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

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)))

rewrite127.0ms

Algorithm
rewrite-expression-head
Rules
204×times-frac
179×*-un-lft-identity
165×add-sqr-sqrt
89×add-cube-cbrt
38×difference-of-squares
30×associate-/r*
26×distribute-lft-out
19×sqrt-prod distribute-lft-out--
13×associate-/r/
10×add-exp-log add-cbrt-cube
7×div-inv associate-/l*
6×flip3-- flip--
5×add-log-exp
4×cbrt-undiv div-exp
3×pow1
2×frac-2neg flip3-+ clear-num flip-+ associate-/l/
1×+-commutative sum-log
Counts
3 → 194
Calls
3 calls:
15.0ms
(+ x (sqrt 3.0))
79.0ms
(/ (+ x (sqrt 3.0)) (/ 6.0 (- x (sqrt 3.0))))
15.0ms
(/ 6.0 (- x (sqrt 3.0)))

series398.0ms

Counts
3 → 9
Calls
3 calls:
66.0ms
(+ x (sqrt 3.0))
238.0ms
(/ (+ x (sqrt 3.0)) (/ 6.0 (- x (sqrt 3.0))))
93.0ms
(/ 6.0 (- x (sqrt 3.0)))

simplify1.2s

Counts
203 → 203

prune526.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes23.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.8s

end0.0ms

sample745.0ms

Algorithm
intervals
Results
472.0ms10647×body80valid