Details

Time bar (total: 14.4s)

sample30.0ms

Algorithm
intervals
Results
13.0ms285×body80valid

simplify851.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
09165
115165
231165
374165
4170165
5272165
6378165
7463165
8525165
9548165
10553165
done553165

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize10.0ms

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)

rewrite131.0ms

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:
16.0ms
(- x (/ 16.0 116.0))
48.0ms
(* (- x (/ 16.0 116.0)) 3.0)
64.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

series124.0ms

Counts
3 → 9
Calls
3 calls:
27.0ms
(- x (/ 16.0 116.0))
50.0ms
(* (- x (/ 16.0 116.0)) 3.0)
47.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

simplify2.8s

Counts
115 → 115
Iterations

Useful iterations: done (2.8s)

IterNodesCost
021739942
153135919
2248030670
done500025463

prune560.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(- x (/ 16.0 116.0))
0.5b
(* (- x (/ 16.0 116.0)) (* 3.0 y))

rewrite70.0ms

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:
13.0ms
(- x (/ 16.0 116.0))
54.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 y))

series90.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(- x (/ 16.0 116.0))
59.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 y))

simplify2.2s

Counts
90 → 90
Iterations

Useful iterations: done (2.2s)

IterNodesCost
019435229
148931709
2195725962
done500021387

prune400.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize76.0ms

Local error

Found 4 expressions with local error:

1.0b
(/ 16.0 (cbrt 116.0))
1.0b
(* (cbrt 116.0) (cbrt 116.0))
1.0b
(* (cbrt 116.0) (cbrt 116.0))
1.0b
(* (cbrt 116.0) (cbrt 116.0))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
67×add-sqr-sqrt
60×cbrt-prod
43×*-un-lft-identity add-cube-cbrt
25×pow1
18×times-frac pow1/3 swap-sqr associate-*r* associate-*l*
12×add-exp-log unswap-sqr
6×associate-/r* pow-prod-down pow-sqr pow-prod-up
5×add-cbrt-cube
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow2 pow-plus prod-exp *-commutative cbrt-unprod associate-/l*
1×cbrt-undiv clear-num frac-2neg div-exp div-inv
Counts
4 → 167
Calls
4 calls:
4.0ms
(/ 16.0 (cbrt 116.0))
17.0ms
(* (cbrt 116.0) (cbrt 116.0))
16.0ms
(* (cbrt 116.0) (cbrt 116.0))
9.0ms
(* (cbrt 116.0) (cbrt 116.0))

series0.0ms

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

simplify1.2s

Counts
171 → 171
Iterations

Useful iterations: done (1.2s)

IterNodesCost
011038208
120534520
276534364
done500132880

prune1.0s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (* (* (cbrt (* (- x (/ 16.0 116.0)) 3.0)) (cbrt (* (- x (/ 16.0 116.0)) 3.0))) (cbrt (* (- x (/ 16.0 116.0)) 3.0))) y)
0.5b
(cbrt (* (- x (/ 16.0 116.0)) 3.0))
0.5b
(cbrt (* (- x (/ 16.0 116.0)) 3.0))
0.5b
(cbrt (* (- x (/ 16.0 116.0)) 3.0))

rewrite319.0ms

Algorithm
rewrite-expression-head
Rules
100×associate-*l/
60×cbrt-div
30×flip3-- flip--
28×frac-times
13×pow1 add-exp-log
9×add-cbrt-cube
8×associate-*r/
6×pow-prod-down prod-exp cbrt-unprod
5×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-prod pow1/3 associate-*r*
1×associate-*l* *-commutative
Counts
4 → 88
Calls
4 calls:
256.0ms
(* (* (* (cbrt (* (- x (/ 16.0 116.0)) 3.0)) (cbrt (* (- x (/ 16.0 116.0)) 3.0))) (cbrt (* (- x (/ 16.0 116.0)) 3.0))) y)
20.0ms
(cbrt (* (- x (/ 16.0 116.0)) 3.0))
20.0ms
(cbrt (* (- x (/ 16.0 116.0)) 3.0))
13.0ms
(cbrt (* (- x (/ 16.0 116.0)) 3.0))

series754.0ms

Counts
4 → 12
Calls
4 calls:
159.0ms
(* (* (* (cbrt (* (- x (/ 16.0 116.0)) 3.0)) (cbrt (* (- x (/ 16.0 116.0)) 3.0))) (cbrt (* (- x (/ 16.0 116.0)) 3.0))) y)
174.0ms
(cbrt (* (- x (/ 16.0 116.0)) 3.0))
205.0ms
(cbrt (* (- x (/ 16.0 116.0)) 3.0))
216.0ms
(cbrt (* (- x (/ 16.0 116.0)) 3.0))

simplify2.0s

Counts
100 → 100
Iterations

Useful iterations: done (1.9s)

IterNodesCost
019657824
150245638
2189045303
done500040753

prune615.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

regimes395.0ms

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

sample673.0ms

Algorithm
intervals
Results
451.0ms9180×body80valid