Details

Time bar (total: 15.6s)

sample23.0ms

Algorithm
intervals
Results
14.0ms283×body80valid

simplify482.0ms

Counts
1 → 1
Iterations
IterNodes
done455
10455
9454
8438
7393
6337
5254
4168
375
230
115
09

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize28.0ms

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)

rewrite98.0ms

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 insert-posit16 log1p-expm1-u div-inv flip--
2×*-commutative distribute-lft-out--
1×sub-neg diff-log unswap-sqr
Counts
3 → 109
Calls
3 calls:
7.0ms
(- x (/ 16.0 116.0))
24.0ms
(* (- x (/ 16.0 116.0)) 3.0)
65.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

series165.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(- x (/ 16.0 116.0))
81.0ms
(* (- x (/ 16.0 116.0)) 3.0)
51.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

simplify3.0s

Counts
118 → 118
Iterations
IterNodes
done5000
34422
21479
1536
0220

prune549.0ms

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))

rewrite48.0ms

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/ insert-posit16 log1p-expm1-u flip-- distribute-lft-out--
1×sub-neg diff-log associate-*r* *-commutative
Counts
2 → 86
Calls
2 calls:
12.0ms
(- x (/ 16.0 116.0))
34.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 y))

series90.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(- x (/ 16.0 116.0))
50.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 y))

simplify2.6s

Counts
92 → 92
Iterations
IterNodes
done5002
34111
21377
1489
0196

prune381.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.8b
(* (cbrt (- x (/ 16.0 116.0))) (cbrt (- x (/ 16.0 116.0))))
0.8b
(cbrt (- x (/ 16.0 116.0)))
0.8b
(cbrt (- x (/ 16.0 116.0)))
0.8b
(cbrt (- x (/ 16.0 116.0)))

rewrite109.0ms

Algorithm
rewrite-expression-head
Rules
58×add-sqr-sqrt
50×cbrt-prod
35×*-un-lft-identity
18×cbrt-div
15×add-cube-cbrt
14×difference-of-squares
11×pow1 swap-sqr
9×flip3-- pow1/3 associate-*r* associate-*l* flip-- distribute-lft-out--
7×times-frac
6×add-exp-log
4×expm1-log1p-u frac-times add-cbrt-cube insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down associate-*l/ associate-*r/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 119
Calls
4 calls:
72.0ms
(* (cbrt (- x (/ 16.0 116.0))) (cbrt (- x (/ 16.0 116.0))))
8.0ms
(cbrt (- x (/ 16.0 116.0)))
9.0ms
(cbrt (- x (/ 16.0 116.0)))
16.0ms
(cbrt (- x (/ 16.0 116.0)))

series595.0ms

Counts
4 → 12
Calls
4 calls:
204.0ms
(* (cbrt (- x (/ 16.0 116.0))) (cbrt (- x (/ 16.0 116.0))))
126.0ms
(cbrt (- x (/ 16.0 116.0)))
118.0ms
(cbrt (- x (/ 16.0 116.0)))
146.0ms
(cbrt (- x (/ 16.0 116.0)))

simplify2.6s

Counts
131 → 131
Iterations
IterNodes
done5000
33004
21113
1443
0192

prune649.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize23.0ms

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)
9.5b
(/ (* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) 3.0) (+ x (/ 16.0 116.0)))

rewrite175.0ms

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/ insert-posit16 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 → 105
Calls
4 calls:
9.0ms
(- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0)))
67.0ms
(* (/ (* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) 3.0) (+ x (/ 16.0 116.0))) y)
46.0ms
(* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) 3.0)
52.0ms
(/ (* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) 3.0) (+ x (/ 16.0 116.0)))

series475.0ms

Counts
4 → 12
Calls
4 calls:
87.0ms
(- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0)))
103.0ms
(* (/ (* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) 3.0) (+ x (/ 16.0 116.0))) y)
126.0ms
(* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) 3.0)
159.0ms
(/ (* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) 3.0) (+ x (/ 16.0 116.0)))

simplify1.7s

Counts
117 → 117
Iterations
IterNodes
done5001
21758
1453
0163

prune454.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.0b

regimes213.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done11
111
09

end0.0ms

sample943.0ms

Algorithm
intervals
Results
719.0ms9118×body80valid