Details

Time bar (total: 13.3s)

sample33.0ms

Algorithm
intervals
Results
17.0ms303×body80valid

simplify974.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ 16.0 116.0))
0.0b
(* (- x (/ 16.0 116.0)) 3.0)
0.1b
(* (* (- x (/ 16.0 116.0)) 3.0) y)

rewrite155.0ms

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:
21.0ms
(- x (/ 16.0 116.0))
54.0ms
(* (- x (/ 16.0 116.0)) 3.0)
71.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

series154.0ms

Counts
3 → 9
Calls
3 calls:
27.0ms
(- x (/ 16.0 116.0))
75.0ms
(* (- x (/ 16.0 116.0)) 3.0)
51.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

simplify1.7s

Counts
115 → 115
Iterations

Useful iterations: done (1.7s)

IterNodesCost
02172289
15032065
214621478
done50011219

prune206.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(- x (/ 16.0 116.0))
0.3b
(* (- x (/ 16.0 116.0)) (* 3.0 y))

rewrite109.0ms

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:
16.0ms
(- x (/ 16.0 116.0))
85.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 y))

series89.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(- x (/ 16.0 116.0))
64.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 y))

simplify1.5s

Counts
90 → 90
Iterations

Useful iterations: done (1.5s)

IterNodesCost
01942055
14671836
213201277
done50011018

prune208.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

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

rewrite334.0ms

Algorithm
rewrite-expression-head
Rules
38×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:
70.0ms
(cbrt (* (* (- x (/ 16.0 116.0)) 3.0) y))
51.0ms
(cbrt (* (* (- x (/ 16.0 116.0)) 3.0) y))
85.0ms
(cbrt (* (* (- x (/ 16.0 116.0)) 3.0) y))
123.0ms
(* (cbrt (* (* (- x (/ 16.0 116.0)) 3.0) y)) (cbrt (* (* (- x (/ 16.0 116.0)) 3.0) y)))

series872.0ms

Counts
4 → 12
Calls
4 calls:
220.0ms
(cbrt (* (* (- x (/ 16.0 116.0)) 3.0) y))
188.0ms
(cbrt (* (* (- x (/ 16.0 116.0)) 3.0) y))
208.0ms
(cbrt (* (* (- x (/ 16.0 116.0)) 3.0) y))
255.0ms
(* (cbrt (* (* (- x (/ 16.0 116.0)) 3.0) y)) (cbrt (* (* (- x (/ 16.0 116.0)) 3.0) y)))

simplify1.2s

Counts
92 → 92
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01982419
15052225
214362055
done50001722

prune502.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

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

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
23×cbrt-prod
22×add-sqr-sqrt
14×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u associate-*l/ add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×cbrt-div pow-prod-down pow-sqr pow-prod-up
1×pow2 flip3-- pow-plus prod-exp *-commutative flip-- cbrt-unprod
Counts
4 → 81
Calls
4 calls:
12.0ms
(* (cbrt y) (cbrt y))
67.0ms
(cbrt (* (* (- x (/ 16.0 116.0)) 3.0) y))
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series997.0ms

Counts
4 → 12
Calls
4 calls:
292.0ms
(* (cbrt y) (cbrt y))
175.0ms
(cbrt (* (* (- x (/ 16.0 116.0)) 3.0) y))
273.0ms
(cbrt y)
257.0ms
(cbrt y)

simplify2.6s

Counts
93 → 93
Iterations

Useful iterations: done (2.6s)

IterNodesCost
0162859
1377741
21009700
33357622
done5000603

prune464.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes262.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099
1119
done119

end0.0ms

sample713.0ms

Algorithm
intervals
Results
490.0ms9134×body80valid