Details

Time bar (total: 14.7s)

sample28.0ms

Algorithm
intervals
Results
13.0ms336×body80valid

simplify41.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
06123
112123
217123
321123
423123
524123
done24123

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite18.0ms

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×expm1-log1p-u pow1 cbrt-undiv clear-num frac-2neg flip3-- div-sub div-exp log1p-expm1-u div-inv flip-- add-log-exp
Counts
1 → 36
Calls
1 calls:
17.0ms
(/ (- (* x x) 3.0) 6.0)

series94.0ms

Counts
1 → 3
Calls
1 calls:
93.0ms
(/ (- (* x x) 3.0) 6.0)

simplify2.5s

Counts
39 → 39
Iterations

Useful iterations: 2 (142.0ms)

IterNodesCost
0809862
11898945
26518865
340298865
done50008865

prune179.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

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

rewrite128.0ms

Algorithm
rewrite-expression-head
Rules
77×add-sqr-sqrt
60×*-un-lft-identity
40×add-cube-cbrt
37×times-frac
22×associate-*r*
18×prod-diff
17×sqrt-prod
16×difference-of-squares
11×add-cbrt-cube add-exp-log
8×distribute-lft-out-- add-log-exp
6×pow1 associate-/l*
4×expm1-log1p-u associate-*l* log1p-expm1-u
3×associate-/r* fma-def flip3-+ fma-neg 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 → 147
Calls
4 calls:
33.0ms
(/ (- x (sqrt 3.0)) 6.0)
14.0ms
(- x (sqrt 3.0))
16.0ms
(+ x (sqrt 3.0))
61.0ms
(* (+ x (sqrt 3.0)) (/ (- x (sqrt 3.0)) 6.0))

series490.0ms

Counts
4 → 12
Calls
4 calls:
105.0ms
(/ (- x (sqrt 3.0)) 6.0)
66.0ms
(- x (sqrt 3.0))
48.0ms
(+ x (sqrt 3.0))
270.0ms
(* (+ x (sqrt 3.0)) (/ (- x (sqrt 3.0)) 6.0))

simplify2.9s

Counts
159 → 159
Iterations

Useful iterations: done (2.8s)

IterNodesCost
019245921
148539503
2273836372
done500034997

prune520.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize16.0ms

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)))

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
204×times-frac
196×*-un-lft-identity
184×add-sqr-sqrt
104×add-cube-cbrt
40×difference-of-squares
30×associate-/r*
29×sqrt-prod
26×distribute-lft-out
20×distribute-lft-out--
18×prod-diff
13×associate-/r/
11×add-cbrt-cube add-exp-log
8×add-log-exp
7×flip3-- div-inv flip-- associate-/l*
4×expm1-log1p-u pow1 cbrt-undiv div-exp log1p-expm1-u
3×fma-def fma-neg
2×clear-num frac-2neg flip3-+ flip-+ associate-/l/
1×+-commutative sum-log sub-neg diff-log
Counts
4 → 241
Calls
4 calls:
9.0ms
(- x (sqrt 3.0))
8.0ms
(+ x (sqrt 3.0))
43.0ms
(/ (+ x (sqrt 3.0)) (/ 6.0 (- x (sqrt 3.0))))
16.0ms
(/ 6.0 (- x (sqrt 3.0)))

series399.0ms

Counts
4 → 12
Calls
4 calls:
59.0ms
(- x (sqrt 3.0))
50.0ms
(+ x (sqrt 3.0))
208.0ms
(/ (+ x (sqrt 3.0)) (/ 6.0 (- x (sqrt 3.0))))
81.0ms
(/ 6.0 (- x (sqrt 3.0)))

simplify2.3s

Counts
253 → 253
Iterations

Useful iterations: done (2.2s)

IterNodesCost
0303105792
178093379
2427588757
done500088597

prune882.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (/ 6.0 (- x (sqrt 3.0))))
0.6b
(/ 6.0 (- x (sqrt 3.0)))
0.6b
(/ 6.0 (- x (sqrt 3.0)))
0.6b
(/ 6.0 (- x (sqrt 3.0)))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
107×add-sqr-sqrt
77×*-un-lft-identity
72×times-frac
47×add-cube-cbrt
30×difference-of-squares
24×cbrt-prod
18×associate-/r*
15×sqrt-prod distribute-lft-out--
10×add-cbrt-cube add-exp-log
9×associate-/l*
8×associate-/r/
4×expm1-log1p-u pow1 flip3-- log1p-expm1-u div-inv flip-- add-log-exp
3×cbrt-undiv clear-num frac-2neg div-exp
1×cbrt-div pow1/3
Counts
4 → 164
Calls
4 calls:
6.0ms
(cbrt (/ 6.0 (- x (sqrt 3.0))))
11.0ms
(/ 6.0 (- x (sqrt 3.0)))
11.0ms
(/ 6.0 (- x (sqrt 3.0)))
12.0ms
(/ 6.0 (- x (sqrt 3.0)))

series581.0ms

Counts
4 → 12
Calls
4 calls:
309.0ms
(cbrt (/ 6.0 (- x (sqrt 3.0))))
103.0ms
(/ 6.0 (- x (sqrt 3.0)))
81.0ms
(/ 6.0 (- x (sqrt 3.0)))
88.0ms
(/ 6.0 (- x (sqrt 3.0)))

simplify1.4s

Counts
176 → 176
Iterations

Useful iterations: done (1.4s)

IterNodesCost
019167594
141656274
2137455775
done500155105

prune878.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes184.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06123
done6123

end0.0ms

sample969.0ms

Algorithm
intervals
Results
792.0ms10659×body80valid