Details

Time bar (total: 12.8s)

sample32.0ms

Algorithm
intervals
Results
16.0ms294×body80valid

simplify1.1s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099
1159
2319
3739
41509
52319
63099
73799
84309
94439
104469
done4469

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ 16.0 116.0))
0.0b
(* (- x (/ 16.0 116.0)) 3.0)
0.2b
(* (* (- x (/ 16.0 116.0)) 3.0) y)

rewrite159.0ms

Algorithm
rewrite-expression-head
Rules
53×add-sqr-sqrt
45×*-un-lft-identity
41×add-cube-cbrt
39×prod-diff
29×times-frac
10×pow1 add-exp-log add-cbrt-cube
7×associate-*l*
6×associate-*r* associate-*l/
5×add-log-exp
4×pow-prod-down prod-exp cbrt-unprod difference-of-squares
3×expm1-log1p-u flip3-- fma-neg flip-- log1p-expm1-u div-inv
2×*-commutative distribute-lft-out--
1×sub-neg diff-log unswap-sqr
Counts
3 → 106
Calls
3 calls:
23.0ms
(- x (/ 16.0 116.0))
43.0ms
(* (- x (/ 16.0 116.0)) 3.0)
84.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

series164.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(- x (/ 16.0 116.0))
64.0ms
(* (- x (/ 16.0 116.0)) 3.0)
65.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

simplify1.8s

Counts
115 → 115
Iterations

Useful iterations: done (1.8s)

IterNodesCost
02172289
15032065
214621478
done50011219

prune246.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b
(- x (/ 16.0 116.0))
0.5b
(* (- x (/ 16.0 116.0)) (* 3.0 y))

rewrite115.0ms

Algorithm
rewrite-expression-head
Rules
48×add-sqr-sqrt
42×*-un-lft-identity
39×prod-diff
38×add-cube-cbrt
29×times-frac
7×pow1 add-exp-log add-cbrt-cube
6×associate-*l*
4×add-log-exp difference-of-squares
3×fma-neg pow-prod-down prod-exp cbrt-unprod div-inv
2×expm1-log1p-u flip3-- associate-*l/ flip-- log1p-expm1-u distribute-lft-out--
1×sub-neg diff-log associate-*r* *-commutative
Counts
2 → 84
Calls
2 calls:
33.0ms
(- x (/ 16.0 116.0))
74.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 y))

series88.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(- x (/ 16.0 116.0))
60.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 y))

simplify1.5s

Counts
90 → 90
Iterations

Useful iterations: done (1.5s)

IterNodesCost
01942055
14671836
213201277
done50011018

prune173.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* (- x (/ 16.0 116.0)) (* 3.0 y))) (cbrt (* (- x (/ 16.0 116.0)) (* 3.0 y))))
0.6b
(cbrt (* (- x (/ 16.0 116.0)) (* 3.0 y)))
0.6b
(cbrt (* (- x (/ 16.0 116.0)) (* 3.0 y)))
0.6b
(cbrt (* (- x (/ 16.0 116.0)) (* 3.0 y)))

rewrite171.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*l/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
9×flip3-- pow1/3 flip--
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×expm1-log1p-u frac-times swap-sqr associate-*r* associate-*l* add-cbrt-cube log1p-expm1-u add-log-exp
2×associate-*r/ pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 80
Calls
4 calls:
73.0ms
(* (cbrt (* (- x (/ 16.0 116.0)) (* 3.0 y))) (cbrt (* (- x (/ 16.0 116.0)) (* 3.0 y))))
22.0ms
(cbrt (* (- x (/ 16.0 116.0)) (* 3.0 y)))
35.0ms
(cbrt (* (- x (/ 16.0 116.0)) (* 3.0 y)))
36.0ms
(cbrt (* (- x (/ 16.0 116.0)) (* 3.0 y)))

series927.0ms

Counts
4 → 12
Calls
4 calls:
337.0ms
(* (cbrt (* (- x (/ 16.0 116.0)) (* 3.0 y))) (cbrt (* (- x (/ 16.0 116.0)) (* 3.0 y))))
197.0ms
(cbrt (* (- x (/ 16.0 116.0)) (* 3.0 y)))
208.0ms
(cbrt (* (- x (/ 16.0 116.0)) (* 3.0 y)))
184.0ms
(cbrt (* (- x (/ 16.0 116.0)) (* 3.0 y)))

simplify1.1s

Counts
92 → 92
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01962419
15032225
214472055
done50011752

prune492.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (* (- x (/ 16.0 116.0)) (* 3.0 y)))
0.6b
(cbrt (* (- x (/ 16.0 116.0)) (* 3.0 y)))
0.8b
(cbrt (- x (/ 16.0 116.0)))
0.8b
(cbrt (* 3.0 y))

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
9×cbrt-prod
7×*-un-lft-identity
6×cbrt-div
5×add-cube-cbrt
4×pow1 add-exp-log expm1-log1p-u pow1/3 associate-*l/ add-cbrt-cube log1p-expm1-u add-log-exp
3×flip3-- flip--
2×difference-of-squares
1×times-frac distribute-lft-out--
Counts
4 → 55
Calls
4 calls:
21.0ms
(cbrt (* (- x (/ 16.0 116.0)) (* 3.0 y)))
33.0ms
(cbrt (* (- x (/ 16.0 116.0)) (* 3.0 y)))
9.0ms
(cbrt (- x (/ 16.0 116.0)))
4.0ms
(cbrt (* 3.0 y))

series865.0ms

Counts
4 → 12
Calls
4 calls:
198.0ms
(cbrt (* (- x (/ 16.0 116.0)) (* 3.0 y)))
230.0ms
(cbrt (* (- x (/ 16.0 116.0)) (* 3.0 y)))
126.0ms
(cbrt (- x (/ 16.0 116.0)))
311.0ms
(cbrt (* 3.0 y))

simplify2.3s

Counts
67 → 67
Iterations

Useful iterations: done (2.3s)

IterNodesCost
01881146
14531091
211141023
33264898
done5001866

prune472.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0b

regimes210.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099
1119
done119

end0.0ms

sample699.0ms

Algorithm
intervals
Results
474.0ms9102×body80valid