Details

Time bar (total: 15.1s)

sample35.0ms

Algorithm
intervals
Results
16.0ms276×body80valid

simplify1.0s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099
1159
2319
3749
41719
52699
63699
74439
85039
95269
105319
done5319

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize16.0ms

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)

rewrite156.0ms

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:
14.0ms
(- x (/ 16.0 116.0))
50.0ms
(* (- x (/ 16.0 116.0)) 3.0)
87.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

series139.0ms

Counts
3 → 9
Calls
3 calls:
24.0ms
(- x (/ 16.0 116.0))
62.0ms
(* (- x (/ 16.0 116.0)) 3.0)
52.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

simplify2.7s

Counts
115 → 115
Iterations

Useful iterations: done (2.7s)

IterNodesCost
02172289
15312071
224801543
done50001219

prune293.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite130.0ms

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:
28.0ms
(- x (/ 16.0 116.0))
93.0ms
(* (- x (/ 16.0 116.0)) (* y 3.0))

series107.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(- x (/ 16.0 116.0))
71.0ms
(* (- x (/ 16.0 116.0)) (* y 3.0))

simplify2.0s

Counts
90 → 90
Iterations

Useful iterations: done (2.0s)

IterNodesCost
01942055
14891842
219561334
done50001018

prune165.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ 16.0 116.0))
0.1b
(* (- x (/ 16.0 116.0)) y)
0.4b
(* (* (- x (/ 16.0 116.0)) y) 3.0)

rewrite217.0ms

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:
26.0ms
(- x (/ 16.0 116.0))
85.0ms
(* (- x (/ 16.0 116.0)) y)
96.0ms
(* (* (- x (/ 16.0 116.0)) y) 3.0)

series145.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(- x (/ 16.0 116.0))
54.0ms
(* (- x (/ 16.0 116.0)) y)
52.0ms
(* (* (- x (/ 16.0 116.0)) y) 3.0)

simplify2.4s

Counts
115 → 115
Iterations

Useful iterations: done (2.4s)

IterNodesCost
02172295
15332071
225011543
done50001219

prune310.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (- (pow (cbrt x) 3) (/ 16.0 116.0)) 0) 3.0)
0.2b
(* (* (+ (- (pow (cbrt x) 3) (/ 16.0 116.0)) 0) 3.0) y)
0.6b
(cbrt x)
0.7b
(pow (cbrt x) 3)

rewrite1.5s

Algorithm
rewrite-expression-head
Rules
18×*-un-lft-identity
15×add-sqr-sqrt
13×add-cube-cbrt
12×pow1 add-exp-log
11×add-cbrt-cube
9×cbrt-prod
6×unpow-prod-down cube-prod associate-*r* associate-*l* associate-*l/
4×expm1-log1p-u pow-prod-down prod-exp cbrt-unprod log1p-expm1-u add-log-exp
3×pow-unpow
2×pow-pow flip3-+ pow1/3 *-commutative flip-+ distribute-lft-out
1×cube-mult pow-to-exp unpow3 pow-exp distribute-lft-out-- rem-cube-cbrt unswap-sqr sqr-pow
Counts
4 → 91
Calls
4 calls:
738.0ms
(* (+ (- (pow (cbrt x) 3) (/ 16.0 116.0)) 0) 3.0)
703.0ms
(* (* (+ (- (pow (cbrt x) 3) (/ 16.0 116.0)) 0) 3.0) y)
2.0ms
(cbrt x)
7.0ms
(pow (cbrt x) 3)

series803.0ms

Counts
4 → 12
Calls
4 calls:
135.0ms
(* (+ (- (pow (cbrt x) 3) (/ 16.0 116.0)) 0) 3.0)
89.0ms
(* (* (+ (- (pow (cbrt x) 3) (/ 16.0 116.0)) 0) 3.0) y)
262.0ms
(cbrt x)
318.0ms
(pow (cbrt x) 3)

simplify1.7s

Counts
103 → 103
Iterations

Useful iterations: 2 (455.0ms)

IterNodesCost
01341167
1373734
22129639
done5002639

prune281.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes122.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099
1119
done119

end0.0ms

sample801.0ms

Algorithm
intervals
Results
459.0ms9161×body80valid