Details

Time bar (total: 7.0s)

sample15.0ms

Algorithm
intervals
Results
6.0ms290×body80valid

simplify506.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
099
1159
2309
3639
41189
51869
62729
73359
83789
93969
103999
done3999

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize6.0ms

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)

rewrite69.0ms

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:
8.0ms
(- x (/ 16.0 116.0))
25.0ms
(* (- x (/ 16.0 116.0)) 3.0)
29.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

series106.0ms

Counts
3 → 9
Calls
3 calls:
22.0ms
(- x (/ 16.0 116.0))
44.0ms
(* (- x (/ 16.0 116.0)) 3.0)
39.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

simplify1.1s

Counts
115 → 115
Iterations

Useful iterations: done (1.1s)

IterNodesCost
02172289
15122065
215481532
done50001508

prune205.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

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))

rewrite42.0ms

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:
8.0ms
(- x (/ 16.0 116.0))
28.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 y))

series61.0ms

Counts
2 → 6
Calls
2 calls:
22.0ms
(- x (/ 16.0 116.0))
38.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 y))

simplify890.0ms

Counts
90 → 90
Iterations

Useful iterations: done (887.0ms)

IterNodesCost
01942055
14761836
213761331
done50011307

prune150.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (* (- x (/ 16.0 116.0)) 3.0))
0.2b
(cbrt (* (- x (/ 16.0 116.0)) 3.0))
0.2b
(cbrt (* (- x (/ 16.0 116.0)) 3.0))
0.2b
(* (cbrt (* (- x (/ 16.0 116.0)) 3.0)) (cbrt (* (- x (/ 16.0 116.0)) 3.0)))

rewrite35.0ms

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:
7.0ms
(cbrt (* (- x (/ 16.0 116.0)) 3.0))
7.0ms
(cbrt (* (- x (/ 16.0 116.0)) 3.0))
7.0ms
(cbrt (* (- x (/ 16.0 116.0)) 3.0))
11.0ms
(* (cbrt (* (- x (/ 16.0 116.0)) 3.0)) (cbrt (* (- x (/ 16.0 116.0)) 3.0)))

series574.0ms

Counts
4 → 12
Calls
4 calls:
136.0ms
(cbrt (* (- x (/ 16.0 116.0)) 3.0))
129.0ms
(cbrt (* (- x (/ 16.0 116.0)) 3.0))
135.0ms
(cbrt (* (- x (/ 16.0 116.0)) 3.0))
174.0ms
(* (cbrt (* (- x (/ 16.0 116.0)) 3.0)) (cbrt (* (- x (/ 16.0 116.0)) 3.0)))

simplify752.0ms

Counts
92 → 92
Iterations

Useful iterations: done (749.0ms)

IterNodesCost
01761868
14341682
214051550
done50001434

prune324.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0b

localize11.0ms

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)))

rewrite113.0ms

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:
30.0ms
(cbrt (* (* (- x (/ 16.0 116.0)) 3.0) y))
27.0ms
(cbrt (* (* (- x (/ 16.0 116.0)) 3.0) y))
27.0ms
(cbrt (* (* (- x (/ 16.0 116.0)) 3.0) y))
25.0ms
(* (cbrt (* (* (- x (/ 16.0 116.0)) 3.0) y)) (cbrt (* (* (- x (/ 16.0 116.0)) 3.0) y)))

series599.0ms

Counts
4 → 12
Calls
4 calls:
134.0ms
(cbrt (* (* (- x (/ 16.0 116.0)) 3.0) y))
138.0ms
(cbrt (* (* (- x (/ 16.0 116.0)) 3.0) y))
131.0ms
(cbrt (* (* (- x (/ 16.0 116.0)) 3.0) y))
195.0ms
(* (cbrt (* (* (- x (/ 16.0 116.0)) 3.0) y)) (cbrt (* (* (- x (/ 16.0 116.0)) 3.0) y)))

simplify580.0ms

Counts
92 → 92
Iterations

Useful iterations: done (577.0ms)

IterNodesCost
01982419
15052225
214992055
done50001872

prune320.0ms

Pruning

10 alts after pruning (6 fresh and 4 done)

Merged error: 0b

regimes173.0ms

Accuracy

0% (0.2b 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
099
1119
done119

end0.0ms

sample342.0ms

Algorithm
intervals
Results
202.0ms9188×body80valid