Details

Time bar (total: 40.6s)

sample45.0ms

Algorithm
intervals
Results
22.0ms290×body80valid

simplify1.5s

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize60.0ms

Local error

Found 3 expressions with local error:

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

rewrite379.0ms

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:
29.0ms
(- x (/ 16.0 116.0))
120.0ms
(* (- x (/ 16.0 116.0)) 3.0)
210.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

series161.0ms

Counts
3 → 9
Calls
3 calls:
44.0ms
(- x (/ 16.0 116.0))
61.0ms
(* (- x (/ 16.0 116.0)) 3.0)
56.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

simplify8.8s

Counts
118 → 118
Iterations
IterNodes
done5000
34369
21475
1536
0220

prune1.1s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize51.0ms

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))

rewrite163.0ms

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:
39.0ms
(- x (/ 16.0 116.0))
116.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 y))

series127.0ms

Counts
2 → 6
Calls
2 calls:
54.0ms
(- x (/ 16.0 116.0))
73.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 y))

simplify8.9s

Counts
92 → 92
Iterations
IterNodes
done5000
34413
21369
1488
0196

prune849.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize265.0ms

Local error

Found 4 expressions with local error:

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

rewrite221.0ms

Algorithm
rewrite-expression-head
Rules
534×times-frac
293×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
276×cbrt-prod
47×associate-/l*
18×associate-/r*
17×div-inv
16×add-exp-log
9×add-cbrt-cube
7×cbrt-undiv div-exp
4×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u add-log-exp
3×clear-num frac-2neg
2×associate-/l/
1×fma-udef
Counts
4 → 409
Calls
4 calls:
40.0ms
(/ (/ 16.0 (cbrt 116.0)) (cbrt 116.0))
60.0ms
(/ (/ 16.0 (cbrt 116.0)) (cbrt 116.0))
21.0ms
(/ -1 (cbrt 116.0))
3.0ms
(fma (/ (/ -1 (cbrt 116.0)) (cbrt 116.0)) (/ 16.0 (cbrt 116.0)) (/ (/ (/ 16.0 (cbrt 116.0)) (cbrt 116.0)) (cbrt 116.0)))

series0.0ms

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

simplify3.6s

Counts
413 → 413
Iterations
IterNodes
done5000
21462
1716
0339

prune5.0s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize98.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (/ 16.0 116.0))
0.2b
(* (- x (/ 16.0 116.0)) (sqrt 3.0))
0.4b
(* (* (* (- x (/ 16.0 116.0)) (sqrt 3.0)) (sqrt 3.0)) y)
0.8b
(* (* (- x (/ 16.0 116.0)) (sqrt 3.0)) (sqrt 3.0))

rewrite1.0s

Algorithm
rewrite-expression-head
Rules
59×add-sqr-sqrt
49×*-un-lft-identity
45×add-cube-cbrt
39×prod-diff
29×times-frac
20×pow1 add-cbrt-cube add-exp-log
15×associate-*r*
12×associate-*l/
10×pow-prod-down prod-exp cbrt-unprod
8×associate-*l*
7×sqrt-prod
6×add-log-exp
4×expm1-log1p-u flip3-- insert-posit16 log1p-expm1-u flip-- difference-of-squares
3×fma-neg *-commutative div-inv
2×distribute-lft-out-- unswap-sqr
1×sub-neg diff-log
Counts
4 → 142
Calls
4 calls:
29.0ms
(- x (/ 16.0 116.0))
128.0ms
(* (- x (/ 16.0 116.0)) (sqrt 3.0))
647.0ms
(* (* (* (- x (/ 16.0 116.0)) (sqrt 3.0)) (sqrt 3.0)) y)
192.0ms
(* (* (- x (/ 16.0 116.0)) (sqrt 3.0)) (sqrt 3.0))

series611.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(- x (/ 16.0 116.0))
119.0ms
(* (- x (/ 16.0 116.0)) (sqrt 3.0))
232.0ms
(* (* (* (- x (/ 16.0 116.0)) (sqrt 3.0)) (sqrt 3.0)) y)
228.0ms
(* (* (- x (/ 16.0 116.0)) (sqrt 3.0)) (sqrt 3.0))

simplify4.7s

Counts
154 → 154
Iterations
IterNodes
done5002
21923
1639
0256

prune1.2s

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes817.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations
IterNodes
done15
115
011

end0.0ms

sample1.0s

Algorithm
intervals
Results
669.0ms9225×body80valid