Details

Time bar (total: 13.1s)

sample16.0ms

Algorithm
intervals
Results
7.0ms346×body80valid

simplify25.0ms

Counts
1 → 1
Iterations
IterNodes
done21
421
320
216
111
06

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
12×times-frac
10×*-un-lft-identity add-cube-cbrt
4×associate-/l* difference-of-squares
3×associate-/r* add-cbrt-cube add-exp-log
2×associate-/l/
1×pow1 cbrt-undiv clear-num frac-2neg flip3-- div-sub div-exp div-inv flip-- add-log-exp
Counts
1 → 34
Calls
1 calls:
23.0ms
(/ (- (* x x) 3.0) 6.0)

series104.0ms

Counts
1 → 3
Calls
1 calls:
104.0ms
(/ (- (* x x) 3.0) 6.0)

simplify1.4s

Counts
37 → 37
Iterations
IterNodes
done5001
31520
2445
1177
078

prune168.0ms

Pruning

3 alts after pruning (3 fresh and 0 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))

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
114×times-frac
78×add-sqr-sqrt
62×*-un-lft-identity add-cube-cbrt
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 clear-num frac-2neg 1-exp add-log-exp
1×pow-flip inv-pow
Counts
2 → 129
Calls
2 calls:
36.0ms
(/ 1 (/ 6.0 (- (* x x) 3.0)))
26.0ms
(/ 6.0 (- (* x x) 3.0))

series169.0ms

Counts
2 → 6
Calls
2 calls:
90.0ms
(/ 1 (/ 6.0 (- (* x x) 3.0)))
78.0ms
(/ 6.0 (- (* x x) 3.0))

simplify2.1s

Counts
135 → 135
Iterations
IterNodes
done5000
21738
1568
0230

prune439.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (sqrt 3.0))
0.0b
(/ (- x (sqrt 3.0)) 6.0)
0.0b
(- x (sqrt 3.0))
0.7b
(* (+ x (sqrt 3.0)) (/ (- x (sqrt 3.0)) 6.0))

rewrite124.0ms

Algorithm
rewrite-expression-head
Rules
63×add-sqr-sqrt
46×*-un-lft-identity
37×times-frac
26×add-cube-cbrt
22×associate-*r*
16×difference-of-squares
11×add-cbrt-cube add-exp-log
8×sqrt-prod distribute-lft-out-- add-log-exp
6×pow1 associate-/l*
4×associate-*l*
3×associate-/r* flip3-+ flip-+
2×frac-times cbrt-undiv flip3-- div-exp associate-*l/ prod-exp cbrt-unprod div-inv flip-- distribute-lft-out unswap-sqr associate-/l/
1×+-commutative clear-num sum-log sub-neg frac-2neg diff-log div-sub pow-prod-down associate-*r/ *-commutative
Counts
4 → 115
Calls
4 calls:
5.0ms
(+ x (sqrt 3.0))
31.0ms
(/ (- x (sqrt 3.0)) 6.0)
15.0ms
(- x (sqrt 3.0))
69.0ms
(* (+ x (sqrt 3.0)) (/ (- x (sqrt 3.0)) 6.0))

series478.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(+ x (sqrt 3.0))
116.0ms
(/ (- x (sqrt 3.0)) 6.0)
55.0ms
(- x (sqrt 3.0))
249.0ms
(* (+ x (sqrt 3.0)) (/ (- x (sqrt 3.0)) 6.0))

simplify3.0s

Counts
127 → 127
Iterations
IterNodes
done5001
34553
21159
1368
0142

prune484.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize27.0ms

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)))

rewrite93.0ms

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-cbrt-cube add-exp-log
8×add-log-exp
7×flip3-- div-inv flip-- associate-/l*
4×pow1 cbrt-undiv div-exp
2×clear-num frac-2neg flip3-+ flip-+ associate-/l/
1×+-commutative sum-log sub-neg diff-log
Counts
4 → 209
Calls
4 calls:
10.0ms
(+ x (sqrt 3.0))
14.0ms
(- x (sqrt 3.0))
41.0ms
(/ (+ x (sqrt 3.0)) (/ 6.0 (- x (sqrt 3.0))))
11.0ms
(/ 6.0 (- x (sqrt 3.0)))

series807.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(+ x (sqrt 3.0))
73.0ms
(- x (sqrt 3.0))
590.0ms
(/ (+ x (sqrt 3.0)) (/ 6.0 (- x (sqrt 3.0))))
86.0ms
(/ 6.0 (- x (sqrt 3.0)))

simplify2.0s

Counts
221 → 221
Iterations
IterNodes
done5002
22349
1662
0253

prune822.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes93.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done10
110
08

end0.0ms

sample589.0ms

Algorithm
intervals
Results
414.0ms10740×body80valid