Details

Time bar (total: 21.1s)

sample33.0ms

Algorithm
intervals
Results
14.0ms310×body80valid

simplify649.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
09165
115165
230165
375165
4168165
5254165
6337165
7393165
8438165
9454165
10455165
done455165

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize11.0ms

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)

rewrite130.0ms

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-cbrt-cube add-exp-log
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 log1p-expm1-u div-inv flip--
2×*-commutative distribute-lft-out--
1×sub-neg diff-log unswap-sqr
Counts
3 → 106
Calls
3 calls:
11.0ms
(- x (/ 16.0 116.0))
50.0ms
(* (- x (/ 16.0 116.0)) 3.0)
65.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

series157.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(- x (/ 16.0 116.0))
61.0ms
(* (- x (/ 16.0 116.0)) 3.0)
55.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

simplify3.9s

Counts
115 → 115
Iterations

Useful iterations: 3 (2.3s)

IterNodesCost
021739942
152935997
2146230940
3433927689
done500027689

prune474.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

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))

rewrite94.0ms

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-cbrt-cube add-exp-log
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/ log1p-expm1-u flip-- distribute-lft-out--
1×sub-neg diff-log associate-*r* *-commutative
Counts
2 → 84
Calls
2 calls:
21.0ms
(- x (/ 16.0 116.0))
62.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 y))

series72.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(- x (/ 16.0 116.0))
43.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 y))

simplify4.1s

Counts
90 → 90
Iterations

Useful iterations: 3 (2.3s)

IterNodesCost
019435229
148731787
2137326448
3422623478
done500323478

prune478.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize83.0ms

Local error

Found 4 expressions with local error:

1.0b
(/ 16.0 (cbrt 116.0))
1.0b
(/ 16.0 (cbrt 116.0))
1.0b
(/ 16.0 (cbrt 116.0))
61.9b
(fma (- (/ 16.0 (cbrt 116.0))) (/ 1 (* (cbrt 116.0) (cbrt 116.0))) (* (/ 16.0 (cbrt 116.0)) (/ 1 (* (cbrt 116.0) (cbrt 116.0)))))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
54×times-frac
49×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
36×cbrt-prod
18×associate-/r*
10×add-exp-log
9×associate-/l*
7×add-cbrt-cube
4×expm1-log1p-u pow1 log1p-expm1-u add-log-exp
3×cbrt-undiv clear-num frac-2neg div-exp div-inv
1×fma-udef
Counts
4 → 133
Calls
4 calls:
10.0ms
(/ 16.0 (cbrt 116.0))
9.0ms
(/ 16.0 (cbrt 116.0))
10.0ms
(/ 16.0 (cbrt 116.0))
1.0ms
(fma (- (/ 16.0 (cbrt 116.0))) (/ 1 (* (cbrt 116.0) (cbrt 116.0))) (* (/ 16.0 (cbrt 116.0)) (/ 1 (* (cbrt 116.0) (cbrt 116.0)))))

series0.0ms

Counts
4 → 4
Calls
4 calls:
0.0ms
(/ 16.0 (cbrt 116.0))
0.0ms
(/ 16.0 (cbrt 116.0))
0.0ms
(/ 16.0 (cbrt 116.0))
0.0ms
(fma (- (/ 16.0 (cbrt 116.0))) (/ 1 (* (cbrt 116.0) (cbrt 116.0))) (* (/ 16.0 (cbrt 116.0)) (/ 1 (* (cbrt 116.0) (cbrt 116.0)))))

simplify4.7s

Counts
137 → 137
Iterations

Useful iterations: done (4.7s)

IterNodesCost
08541241
114038778
230338028
370637820
4181134180
done500132977

prune1.0s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0)))
0.2b
(* (/ (* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) 3.0) (+ x (/ 16.0 116.0))) y)
0.7b
(* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) 3.0)
9.7b
(/ (* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) 3.0) (+ x (/ 16.0 116.0)))

rewrite194.0ms

Algorithm
rewrite-expression-head
Rules
20×add-cbrt-cube add-exp-log
17×*-un-lft-identity
15×add-sqr-sqrt
14×associate-*l*
11×add-cube-cbrt
8×pow1 times-frac
6×associate-*r* prod-exp cbrt-unprod add-log-exp
5×associate-*l/
4×expm1-log1p-u cbrt-undiv associate-/r* div-exp associate-/r/ log1p-expm1-u
3×flip3-- flip-- distribute-lft-out
2×flip3-+ pow-prod-down *-commutative flip-+ div-inv difference-of-squares unswap-sqr associate-/l/
1×clear-num sub-neg frac-2neg fma-neg diff-log prod-diff associate-/l*
Counts
4 → 101
Calls
4 calls:
13.0ms
(- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0)))
79.0ms
(* (/ (* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) 3.0) (+ x (/ 16.0 116.0))) y)
42.0ms
(* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) 3.0)
55.0ms
(/ (* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) 3.0) (+ x (/ 16.0 116.0)))

series417.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0)))
93.0ms
(* (/ (* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) 3.0) (+ x (/ 16.0 116.0))) y)
106.0ms
(* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) 3.0)
152.0ms
(/ (* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) 3.0) (+ x (/ 16.0 116.0)))

simplify3.0s

Counts
113 → 113
Iterations

Useful iterations: done (3.0s)

IterNodesCost
015935857
144932677
2176630331
done500126766

prune562.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes237.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09165
111165
done11165

end0.0ms

sample605.0ms

Algorithm
intervals
Results
416.0ms9143×body80valid